%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRA156-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 06:34:10 PM UTC 2026
% Result : Unsatisfiable 2.15s 2.33s
% Output : Proof 3.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA156-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.16/0.33 % Computer : n021.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:06:41 EDT 2026
% 0.16/0.33 % CPUTime :
% 2.15/2.33 % SZS status Unsatisfiable
% 2.15/2.33 % SZS output start Proof
% 2.15/2.33 tff(r_type, type, (
% 2.15/2.33 r: ( $i * $i ) > $o)).
% 2.15/2.33 tff(s_type, type, (
% 2.15/2.33 s: $i > $i)).
% 2.15/2.33 tff(z_type, type, (
% 2.15/2.33 z: $i)).
% 2.15/2.33 tff(b_type, type, (
% 2.15/2.33 b: ( $i * $i ) > $o)).
% 2.15/2.33 tff(inj_0_type, type, (
% 2.15/2.33 inj_0: $i > $i)).
% 2.15/2.33 tff(1,assumption,(b(z, s(z))), introduced(assumption)).
% 2.15/2.33 tff(2,assumption,(r(s(z), z)), introduced(assumption)).
% 2.15/2.33 tff(3,assumption,(b(s(s(s(s(s(s(s(z))))))), s(z))), introduced(assumption)).
% 2.15/2.33 tff(4,assumption,(b(s(z), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.33 tff(5,assumption,(r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.15/2.33 tff(6,assumption,(r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.33 tff(7,assumption,(b(s(s(s(s(s(s(s(z))))))), z)), introduced(assumption)).
% 2.15/2.33 tff(8,assumption,(b(s(s(s(z))), s(z))), introduced(assumption)).
% 2.15/2.33 tff(9,assumption,(r(s(z), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.33 tff(10,assumption,(r(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.15/2.33 tff(11,assumption,(r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.33 tff(12,assumption,(r(s(s(s(z))), s(z))), introduced(assumption)).
% 2.15/2.33 tff(13,assumption,(r(s(s(s(s(s(s(s(s(s(z))))))))), z)), introduced(assumption)).
% 2.15/2.33 tff(14,assumption,(r(s(s(s(s(s(s(s(z))))))), z)), introduced(assumption)).
% 2.15/2.33 tff(15,assumption,(r(s(s(s(s(s(s(s(z))))))), s(z))), introduced(assumption)).
% 2.15/2.33 tff(16,assumption,(r(s(s(s(s(z)))), s(z))), introduced(assumption)).
% 2.15/2.33 tff(17,plain,
% 2.15/2.33 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) <=> (s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(z))))),
% 2.15/2.33 inference(commutativity,[status(thm)],[])).
% 2.15/2.33 tff(18,plain,
% 2.15/2.33 ((s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.33 inference(symmetry,[status(thm)],[17])).
% 2.15/2.33 tff(19,plain,
% 2.15/2.33 ((~(s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(z))))) <=> (~(s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.33 inference(monotonicity,[status(thm)],[18])).
% 2.15/2.33 tff(20,plain,
% 2.15/2.33 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0) <=> ![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(21,plain,
% 2.15/2.33 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y)) <=> ![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(22,plain,
% 2.15/2.33 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(23,axiom,(![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sinj')).
% 2.15/2.33 tff(24,plain,
% 2.15/2.33 (![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[23, 22])).
% 2.15/2.33 tff(25,plain,(
% 2.15/2.33 ![Y: $i, X: $i] : ((~(s(X) = s(Y))) | (X = Y))),
% 2.15/2.33 inference(skolemize,[status(sab)],[24])).
% 2.15/2.33 tff(26,plain,
% 2.15/2.33 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[25, 21])).
% 2.15/2.33 tff(27,plain,
% 2.15/2.33 (![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[26, 20])).
% 2.15/2.33 tff(28,plain,
% 2.15/2.33 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(z))) = s(z))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(29,plain,
% 2.15/2.33 (inj_0(s(s(z))) = s(z)),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[28, 27])).
% 2.15/2.33 tff(30,plain,
% 2.15/2.33 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(z)))) = s(s(z)))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(31,plain,
% 2.15/2.33 (inj_0(s(s(s(z)))) = s(s(z))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[30, 27])).
% 2.15/2.33 tff(32,assumption,(s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(z)))), introduced(assumption)).
% 2.15/2.33 tff(33,plain,
% 2.15/2.33 (inj_0(s(s(s(s(s(s(s(s(s(z)))))))))) = inj_0(s(s(s(z))))),
% 2.15/2.33 inference(monotonicity,[status(thm)],[32])).
% 2.15/2.33 tff(34,plain,
% 2.15/2.33 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(s(s(s(z)))))))))) = s(s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(35,plain,
% 2.15/2.33 (inj_0(s(s(s(s(s(s(s(s(s(z)))))))))) = s(s(s(s(s(s(s(s(z))))))))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[34, 27])).
% 2.15/2.33 tff(36,plain,
% 2.15/2.33 (s(s(s(s(s(s(s(s(z)))))))) = inj_0(s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.33 inference(symmetry,[status(thm)],[35])).
% 2.15/2.33 tff(37,plain,
% 2.15/2.33 (s(s(s(s(s(s(s(s(z)))))))) = s(s(z))),
% 2.15/2.33 inference(transitivity,[status(thm)],[36, 33, 31])).
% 2.15/2.33 tff(38,plain,
% 2.15/2.33 (inj_0(s(s(s(s(s(s(s(s(z))))))))) = inj_0(s(s(z)))),
% 2.15/2.33 inference(monotonicity,[status(thm)],[37])).
% 2.15/2.33 tff(39,plain,
% 2.15/2.33 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z))))))))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(40,plain,
% 2.15/2.33 (inj_0(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z)))))))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[39, 27])).
% 2.15/2.33 tff(41,plain,
% 2.15/2.33 (s(s(s(s(s(s(s(z))))))) = inj_0(s(s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.33 inference(symmetry,[status(thm)],[40])).
% 2.15/2.33 tff(42,plain,
% 2.15/2.33 (s(s(s(s(s(s(s(z))))))) = s(z)),
% 2.15/2.33 inference(transitivity,[status(thm)],[41, 38, 29])).
% 2.15/2.33 tff(43,plain,
% 2.15/2.33 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(z)) = z)),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(44,plain,
% 2.15/2.33 (inj_0(s(z)) = z),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[43, 27])).
% 2.15/2.33 tff(45,assumption,(s(s(s(s(s(s(s(z))))))) = s(z)), introduced(assumption)).
% 2.15/2.33 tff(46,plain,
% 2.15/2.33 (s(z) = s(s(s(s(s(s(s(z)))))))),
% 2.15/2.33 inference(symmetry,[status(thm)],[45])).
% 2.15/2.33 tff(47,plain,
% 2.15/2.33 (inj_0(s(z)) = inj_0(s(s(s(s(s(s(s(z))))))))),
% 2.15/2.33 inference(monotonicity,[status(thm)],[46])).
% 2.15/2.33 tff(48,plain,
% 2.15/2.33 (inj_0(s(s(s(s(s(s(s(z)))))))) = inj_0(s(z))),
% 2.15/2.33 inference(symmetry,[status(thm)],[47])).
% 2.15/2.33 tff(49,plain,
% 2.15/2.33 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(s(z)))))))) = s(s(s(s(s(s(z)))))))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(50,plain,
% 2.15/2.33 (inj_0(s(s(s(s(s(s(s(z)))))))) = s(s(s(s(s(s(z))))))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[49, 27])).
% 2.15/2.33 tff(51,plain,
% 2.15/2.33 (s(s(s(s(s(s(z)))))) = inj_0(s(s(s(s(s(s(s(z))))))))),
% 2.15/2.33 inference(symmetry,[status(thm)],[50])).
% 2.15/2.33 tff(52,plain,
% 2.15/2.33 (s(s(s(s(s(s(z)))))) = z),
% 2.15/2.33 inference(transitivity,[status(thm)],[51, 48, 44])).
% 2.15/2.33 tff(53,plain,
% 2.15/2.33 (^[X: $i] : refl((~(s(X) = z)) <=> (~(s(X) = z)))),
% 2.15/2.33 inference(bind,[status(th)],[])).
% 2.15/2.33 tff(54,plain,
% 2.15/2.33 (![X: $i] : (~(s(X) = z)) <=> ![X: $i] : (~(s(X) = z))),
% 2.15/2.33 inference(quant_intro,[status(thm)],[53])).
% 2.15/2.33 tff(55,plain,
% 2.15/2.33 (![X: $i] : (~(s(X) = z)) <=> ![X: $i] : (~(s(X) = z))),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(56,axiom,(![X: $i] : (~(s(X) = z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','snz')).
% 2.15/2.33 tff(57,plain,
% 2.15/2.33 (![X: $i] : (~(s(X) = z))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[56, 55])).
% 2.15/2.33 tff(58,plain,(
% 2.15/2.33 ![X: $i] : (~(s(X) = z))),
% 2.15/2.33 inference(skolemize,[status(sab)],[57])).
% 2.15/2.33 tff(59,plain,
% 2.15/2.33 (![X: $i] : (~(s(X) = z))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[58, 54])).
% 2.15/2.33 tff(60,plain,
% 2.15/2.33 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(s(s(z)))))) = z))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(61,plain,
% 2.15/2.33 (~(s(s(s(s(s(s(z)))))) = z)),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[60, 59])).
% 2.15/2.33 tff(62,plain,
% 2.15/2.33 ($false),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[61, 52])).
% 2.15/2.33 tff(63,plain,(~(s(s(s(s(s(s(s(z))))))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.33 tff(64,plain,
% 2.15/2.33 ($false),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[63, 42])).
% 2.15/2.33 tff(65,plain,(~(s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.33 tff(66,plain,
% 2.15/2.33 (~(s(s(s(z))) = s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[65, 19])).
% 2.15/2.33 tff(67,plain,
% 2.15/2.33 (^[X0: $i, X3: $i, X2: $i, X1: $i] : refl(((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))))),
% 2.15/2.33 inference(bind,[status(th)],[])).
% 2.15/2.33 tff(68,plain,
% 2.15/2.33 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.15/2.33 inference(quant_intro,[status(thm)],[67])).
% 2.15/2.33 tff(69,plain,
% 2.15/2.33 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) <=> ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(70,plain,
% 2.15/2.33 (^[X0: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) <=> ((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))), (((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) <=> (((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) | (~r(X0, X3))))), rewrite((((~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) | (~r(X0, X3))) <=> ((~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))), (((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) <=> ((~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))))), ((((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) | (~r(X2, X3))) <=> (((~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) | (~r(X2, X3))))), rewrite((((~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1))) | (~r(X2, X3))) <=> ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))), ((((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) | (~r(X2, X3))) <=> ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))))),
% 2.15/2.33 inference(bind,[status(th)],[])).
% 2.15/2.33 tff(71,plain,
% 2.15/2.33 (![X0: $i, X3: $i, X2: $i, X1: $i] : (((((~r(X0, X1)) | (~r(X0, X2))) | (~r(X1, X2))) | (~r(X0, X3))) | (~r(X2, X3))) <=> ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.15/2.33 inference(quant_intro,[status(thm)],[70])).
% 2.15/2.33 tff(72,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')).
% 2.15/2.33 tff(73,plain,
% 2.15/2.33 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[72, 71])).
% 2.15/2.33 tff(74,plain,
% 2.15/2.33 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[73, 69])).
% 2.15/2.33 tff(75,plain,(
% 2.15/2.33 ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.15/2.33 inference(skolemize,[status(sab)],[74])).
% 2.15/2.33 tff(76,plain,
% 2.15/2.33 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[75, 68])).
% 2.15/2.33 tff(77,plain,
% 2.15/2.33 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(78,plain,
% 2.15/2.33 (((~r(s(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(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(79,plain,
% 2.15/2.33 (((~![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(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(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(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))))),
% 2.15/2.33 inference(monotonicity,[status(thm)],[78])).
% 2.15/2.33 tff(80,plain,
% 2.15/2.33 (((~![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(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(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(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.15/2.33 inference(transitivity,[status(thm)],[79, 77])).
% 2.15/2.33 tff(81,plain,
% 2.15/2.33 ((~![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(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(82,plain,
% 2.15/2.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[81, 80])).
% 2.15/2.33 tff(83,plain,
% 2.15/2.33 ($false),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[82, 76, 16, 6, 15, 9])).
% 2.15/2.33 tff(84,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.33 tff(85,plain,
% 2.15/2.33 (~r(s(s(s(s(z)))), s(z))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[84, 6, 15, 9])).
% 2.15/2.33 tff(86,plain,
% 2.15/2.33 ((s(s(s(s(z)))) = s(z)) <=> (s(z) = s(s(s(s(z)))))),
% 2.15/2.33 inference(commutativity,[status(thm)],[])).
% 2.15/2.33 tff(87,plain,
% 2.15/2.33 ((s(z) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(z))),
% 2.15/2.33 inference(symmetry,[status(thm)],[86])).
% 2.15/2.33 tff(88,plain,
% 2.15/2.33 ((~(s(z) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = s(z)))),
% 2.15/2.33 inference(monotonicity,[status(thm)],[87])).
% 2.15/2.33 tff(89,assumption,(s(z) = s(s(s(s(z))))), introduced(assumption)).
% 2.15/2.33 tff(90,plain,
% 2.15/2.33 (inj_0(s(z)) = inj_0(s(s(s(s(z)))))),
% 2.15/2.33 inference(monotonicity,[status(thm)],[89])).
% 2.15/2.33 tff(91,plain,
% 2.15/2.33 (inj_0(s(s(s(s(z))))) = inj_0(s(z))),
% 2.15/2.33 inference(symmetry,[status(thm)],[90])).
% 2.15/2.33 tff(92,plain,
% 2.15/2.33 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(z))))) = s(s(s(z))))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(93,plain,
% 2.15/2.33 (inj_0(s(s(s(s(z))))) = s(s(s(z)))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[92, 27])).
% 2.15/2.33 tff(94,plain,
% 2.15/2.33 (s(s(s(z))) = inj_0(s(s(s(s(z)))))),
% 2.15/2.33 inference(symmetry,[status(thm)],[93])).
% 2.15/2.33 tff(95,plain,
% 2.15/2.33 (s(s(s(z))) = z),
% 2.15/2.33 inference(transitivity,[status(thm)],[94, 91, 44])).
% 2.15/2.33 tff(96,plain,
% 2.15/2.33 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(z))) = z))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(97,plain,
% 2.15/2.33 (~(s(s(s(z))) = z)),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[96, 59])).
% 2.15/2.33 tff(98,plain,
% 2.15/2.33 ($false),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[97, 95])).
% 2.15/2.33 tff(99,plain,(~(s(z) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.33 tff(100,plain,
% 2.15/2.33 (~(s(s(s(s(z)))) = s(z))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[99, 88])).
% 2.15/2.33 tff(101,plain,
% 2.15/2.33 (^[Y: $i, X: $i] : refl(((X = Y) | b(X, Y) | r(X, Y)) <=> ((X = Y) | b(X, Y) | r(X, Y)))),
% 2.15/2.33 inference(bind,[status(th)],[])).
% 2.15/2.33 tff(102,plain,
% 2.15/2.33 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.15/2.33 inference(quant_intro,[status(thm)],[101])).
% 2.15/2.33 tff(103,plain,
% 2.15/2.33 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(104,plain,
% 2.15/2.33 (^[Y: $i, X: $i] : rewrite((((X = Y) | r(X, Y)) | b(X, Y)) <=> ((X = Y) | b(X, Y) | r(X, Y)))),
% 2.15/2.33 inference(bind,[status(th)],[])).
% 2.15/2.33 tff(105,plain,
% 2.15/2.33 (![Y: $i, X: $i] : (((X = Y) | r(X, Y)) | b(X, Y)) <=> ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.15/2.33 inference(quant_intro,[status(thm)],[104])).
% 2.15/2.33 tff(106,axiom,(![Y: $i, X: $i] : (((X = Y) | r(X, Y)) | b(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rb')).
% 2.15/2.33 tff(107,plain,
% 2.15/2.33 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[106, 105])).
% 2.15/2.33 tff(108,plain,
% 2.15/2.33 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[107, 103])).
% 2.15/2.33 tff(109,plain,(
% 2.15/2.33 ![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.15/2.33 inference(skolemize,[status(sab)],[108])).
% 2.15/2.33 tff(110,plain,
% 2.15/2.33 (![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[109, 102])).
% 2.15/2.33 tff(111,plain,
% 2.15/2.33 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z)))),
% 2.15/2.33 inference(rewrite,[status(thm)],[])).
% 2.15/2.33 tff(112,plain,
% 2.15/2.33 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z)))),
% 2.15/2.33 inference(quant_inst,[status(thm)],[])).
% 2.15/2.33 tff(113,plain,
% 2.15/2.33 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 2.15/2.33 inference(modus_ponens,[status(thm)],[112, 111])).
% 2.15/2.33 tff(114,plain,
% 2.15/2.33 ((s(s(s(s(z)))) = s(z)) | b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[113, 110])).
% 2.15/2.33 tff(115,plain,
% 2.15/2.33 (b(s(s(s(s(z)))), s(z)) | r(s(s(s(s(z)))), s(z))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[114, 100])).
% 2.15/2.33 tff(116,plain,
% 2.15/2.33 (b(s(s(s(s(z)))), s(z))),
% 2.15/2.33 inference(unit_resolution,[status(thm)],[115, 85])).
% 2.15/2.33 tff(117,assumption,(r(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.15/2.33 tff(118,plain,
% 2.15/2.33 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(119,plain,
% 2.15/2.34 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(120,plain,
% 2.15/2.34 (((~![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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.34 inference(monotonicity,[status(thm)],[119])).
% 2.15/2.34 tff(121,plain,
% 2.15/2.34 (((~![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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.34 inference(transitivity,[status(thm)],[120, 118])).
% 2.15/2.34 tff(122,plain,
% 2.15/2.34 ((~![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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(123,plain,
% 2.15/2.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.34 inference(modus_ponens,[status(thm)],[122, 121])).
% 2.15/2.34 tff(124,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[123, 76, 2, 10, 117, 6, 9])).
% 2.15/2.34 tff(125,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.34 tff(126,plain,
% 2.15/2.34 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[125, 117, 10, 2, 9])).
% 2.15/2.34 tff(127,assumption,(s(s(s(s(z)))) = s(s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.15/2.34 tff(128,plain,
% 2.15/2.34 (s(s(s(s(s(s(s(z))))))) = s(s(s(s(z))))),
% 2.15/2.34 inference(symmetry,[status(thm)],[127])).
% 2.15/2.34 tff(129,plain,
% 2.15/2.34 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(z)))))) = s(s(s(s(z)))))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(130,plain,
% 2.15/2.34 (inj_0(s(s(s(s(s(z)))))) = s(s(s(s(z))))),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[129, 27])).
% 2.15/2.34 tff(131,plain,
% 2.15/2.34 ((~![Xk!0: $i] : (inj_0(s(Xk!0)) = Xk!0)) | (inj_0(s(s(s(s(s(s(z))))))) = s(s(s(s(s(z))))))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(132,plain,
% 2.15/2.34 (inj_0(s(s(s(s(s(s(z))))))) = s(s(s(s(s(z)))))),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[131, 27])).
% 2.15/2.34 tff(133,assumption,(s(s(s(s(s(s(s(z))))))) = s(s(s(s(z))))), introduced(assumption)).
% 2.15/2.34 tff(134,plain,
% 2.15/2.34 (inj_0(s(s(s(s(s(s(s(z)))))))) = inj_0(s(s(s(s(z)))))),
% 2.15/2.34 inference(monotonicity,[status(thm)],[133])).
% 2.15/2.34 tff(135,plain,
% 2.15/2.34 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(s(z))))))))),
% 2.15/2.34 inference(symmetry,[status(thm)],[134])).
% 2.15/2.34 tff(136,plain,
% 2.15/2.34 (s(s(s(z))) = s(s(s(s(s(s(z))))))),
% 2.15/2.34 inference(transitivity,[status(thm)],[94, 135, 50])).
% 2.15/2.34 tff(137,plain,
% 2.15/2.34 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.15/2.34 inference(monotonicity,[status(thm)],[136])).
% 2.15/2.34 tff(138,plain,
% 2.15/2.34 (s(s(z)) = inj_0(s(s(s(z))))),
% 2.15/2.34 inference(symmetry,[status(thm)],[31])).
% 2.15/2.34 tff(139,plain,
% 2.15/2.34 (s(s(z)) = s(s(s(s(s(z)))))),
% 2.15/2.34 inference(transitivity,[status(thm)],[138, 137, 132])).
% 2.15/2.34 tff(140,plain,
% 2.15/2.34 (inj_0(s(s(z))) = inj_0(s(s(s(s(s(z))))))),
% 2.15/2.34 inference(monotonicity,[status(thm)],[139])).
% 2.15/2.34 tff(141,plain,
% 2.15/2.34 (s(z) = inj_0(s(s(z)))),
% 2.15/2.34 inference(symmetry,[status(thm)],[29])).
% 2.15/2.34 tff(142,plain,
% 2.15/2.34 (s(z) = s(s(s(s(z))))),
% 2.15/2.34 inference(transitivity,[status(thm)],[141, 140, 130])).
% 2.15/2.34 tff(143,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[99, 142])).
% 2.15/2.34 tff(144,plain,(~(s(s(s(s(s(s(s(z))))))) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.34 tff(145,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[144, 128])).
% 2.15/2.34 tff(146,plain,(~(s(s(s(s(z)))) = s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.34 tff(147,assumption,(~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.34 tff(148,assumption,(~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.34 tff(149,plain,
% 2.15/2.34 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))) | r(s(s(s(s(z)))), s(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(s(z)))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(150,plain,
% 2.15/2.34 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(151,plain,
% 2.15/2.34 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.34 inference(modus_ponens,[status(thm)],[150, 149])).
% 2.15/2.34 tff(152,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[151, 110, 148, 147, 146])).
% 2.15/2.34 tff(153,plain,(r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.34 tff(154,plain,
% 2.15/2.34 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[153, 126])).
% 2.15/2.34 tff(155,assumption,(r(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.15/2.34 tff(156,plain,
% 2.15/2.34 (((~![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(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(157,plain,
% 2.15/2.34 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(158,plain,
% 2.15/2.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))))),
% 2.15/2.34 inference(monotonicity,[status(thm)],[157])).
% 2.15/2.34 tff(159,plain,
% 2.15/2.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)))),
% 2.15/2.34 inference(transitivity,[status(thm)],[158, 156])).
% 2.15/2.34 tff(160,plain,
% 2.15/2.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(161,plain,
% 2.15/2.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))),
% 2.15/2.34 inference(modus_ponens,[status(thm)],[160, 159])).
% 2.15/2.34 tff(162,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[161, 76, 2, 10, 117, 155])).
% 2.15/2.34 tff(163,plain,((~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))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.34 tff(164,plain,
% 2.15/2.34 (~r(s(s(s(s(z)))), z)),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[163, 117, 10, 2])).
% 2.15/2.34 tff(165,plain,
% 2.15/2.34 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(z)))) = z))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(166,plain,
% 2.15/2.34 (~(s(s(s(s(z)))) = z)),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[165, 59])).
% 2.15/2.34 tff(167,plain,
% 2.15/2.34 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(168,plain,
% 2.15/2.34 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(169,plain,
% 2.15/2.34 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = z) | b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z)),
% 2.15/2.34 inference(modus_ponens,[status(thm)],[168, 167])).
% 2.15/2.34 tff(170,plain,
% 2.15/2.34 (b(s(s(s(s(z)))), z) | r(s(s(s(s(z)))), z)),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[169, 110, 166])).
% 2.15/2.34 tff(171,plain,
% 2.15/2.34 (b(s(s(s(s(z)))), z)),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[170, 164])).
% 2.15/2.34 tff(172,plain,
% 2.15/2.34 (((~![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), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(173,plain,
% 2.15/2.34 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(174,plain,
% 2.15/2.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z))))),
% 2.15/2.34 inference(monotonicity,[status(thm)],[173])).
% 2.15/2.34 tff(175,plain,
% 2.15/2.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 2.15/2.34 inference(transitivity,[status(thm)],[174, 172])).
% 2.15/2.34 tff(176,plain,
% 2.15/2.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(177,plain,
% 2.15/2.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z))),
% 2.15/2.34 inference(modus_ponens,[status(thm)],[176, 175])).
% 2.15/2.34 tff(178,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[177, 76, 2, 10, 117, 14, 9])).
% 2.15/2.34 tff(179,plain,((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.34 tff(180,plain,
% 2.15/2.34 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[179, 117, 10, 2, 9])).
% 2.15/2.34 tff(181,assumption,(~b(s(s(s(s(s(s(s(z))))))), z)), introduced(assumption)).
% 2.15/2.34 tff(182,assumption,(~r(s(s(s(s(s(s(s(z))))))), z)), introduced(assumption)).
% 2.15/2.34 tff(183,plain,
% 2.15/2.34 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(s(s(s(z))))))) = z))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(184,plain,
% 2.15/2.34 (~(s(s(s(s(s(s(s(z))))))) = z)),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[183, 59])).
% 2.15/2.34 tff(185,plain,
% 2.15/2.34 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = z) | b(s(s(s(s(s(s(s(z))))))), z) | r(s(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(s(z))))))) = z) | b(s(s(s(s(s(s(s(z))))))), z) | r(s(s(s(s(s(s(s(z))))))), z))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(186,plain,
% 2.15/2.34 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = z) | b(s(s(s(s(s(s(s(z))))))), z) | r(s(s(s(s(s(s(s(z))))))), z))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(187,plain,
% 2.15/2.34 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(z))))))) = z) | b(s(s(s(s(s(s(s(z))))))), z) | r(s(s(s(s(s(s(s(z))))))), z)),
% 2.15/2.34 inference(modus_ponens,[status(thm)],[186, 185])).
% 2.15/2.34 tff(188,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[187, 110, 184, 182, 181])).
% 2.15/2.34 tff(189,plain,(b(s(s(s(s(s(s(s(z))))))), z) | r(s(s(s(s(s(s(s(z))))))), z)), inference(lemma,lemma(discharge,[]))).
% 2.15/2.34 tff(190,plain,
% 2.15/2.34 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[189, 180])).
% 2.15/2.34 tff(191,assumption,(b(s(s(s(s(z)))), z)), introduced(assumption)).
% 2.15/2.34 tff(192,plain,
% 2.15/2.34 (((~![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), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(193,plain,
% 2.15/2.34 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(194,plain,
% 2.15/2.34 (((~![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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 2.15/2.34 inference(monotonicity,[status(thm)],[193])).
% 2.15/2.34 tff(195,plain,
% 2.15/2.34 (((~![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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.15/2.34 inference(transitivity,[status(thm)],[194, 192])).
% 2.15/2.34 tff(196,plain,
% 2.15/2.34 ((~![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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.34 inference(quant_inst,[status(thm)],[])).
% 2.15/2.34 tff(197,plain,
% 2.15/2.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 2.15/2.34 inference(modus_ponens,[status(thm)],[196, 195])).
% 2.15/2.34 tff(198,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[197, 76, 117, 6, 5, 9])).
% 2.15/2.34 tff(199,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.34 tff(200,plain,
% 2.15/2.34 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[199, 5, 9, 117])).
% 2.15/2.34 tff(201,plain,
% 2.15/2.34 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[153, 200])).
% 2.15/2.34 tff(202,assumption,(b(z, s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.34 tff(203,assumption,(b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.34 tff(204,plain,
% 2.15/2.34 (^[X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) <=> ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))))),
% 2.15/2.34 inference(bind,[status(th)],[])).
% 2.15/2.34 tff(205,plain,
% 2.15/2.34 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.15/2.34 inference(quant_intro,[status(thm)],[204])).
% 2.15/2.34 tff(206,plain,
% 2.15/2.34 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.15/2.34 inference(rewrite,[status(thm)],[])).
% 2.15/2.34 tff(207,plain,
% 2.15/2.34 (^[X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(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(X1, X4))) <=> (((~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X1, X4))))), rewrite((((~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X1, X4))) <=> ((~b(X1, 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(X1, X4))) <=> ((~b(X1, 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(X1, X4))) | (~b(X3, X4))) <=> (((~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X3, X4))))), rewrite((((~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1))) | (~b(X3, X4))) <=> ((~b(X3, X4)) | (~b(X1, 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(X1, X4))) | (~b(X3, X4))) <=> ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))))),
% 2.15/2.35 inference(bind,[status(th)],[])).
% 2.15/2.35 tff(208,plain,
% 2.15/2.35 (![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(X1, X4))) | (~b(X3, X4))) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.15/2.35 inference(quant_intro,[status(thm)],[207])).
% 2.15/2.35 tff(209,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(X1, X4))) | (~b(X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axb')).
% 2.15/2.35 tff(210,plain,
% 2.15/2.35 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.15/2.35 inference(modus_ponens,[status(thm)],[209, 208])).
% 2.15/2.35 tff(211,plain,
% 2.15/2.35 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.15/2.35 inference(modus_ponens,[status(thm)],[210, 206])).
% 2.15/2.35 tff(212,plain,(
% 2.15/2.35 ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.15/2.35 inference(skolemize,[status(sab)],[211])).
% 2.15/2.35 tff(213,plain,
% 2.15/2.35 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))),
% 2.15/2.35 inference(modus_ponens,[status(thm)],[212, 205])).
% 2.15/2.35 tff(214,plain,
% 2.15/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.15/2.35 inference(rewrite,[status(thm)],[])).
% 2.15/2.35 tff(215,plain,
% 2.15/2.35 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z)))))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.15/2.35 inference(rewrite,[status(thm)],[])).
% 2.15/2.35 tff(216,plain,
% 2.15/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.15/2.35 inference(monotonicity,[status(thm)],[215])).
% 2.15/2.35 tff(217,plain,
% 2.15/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.15/2.35 inference(transitivity,[status(thm)],[216, 214])).
% 2.15/2.35 tff(218,plain,
% 2.15/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))),
% 2.15/2.35 inference(quant_inst,[status(thm)],[])).
% 2.15/2.35 tff(219,plain,
% 2.15/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.15/2.35 inference(modus_ponens,[status(thm)],[218, 217])).
% 2.15/2.35 tff(220,plain,
% 2.15/2.35 ($false),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[219, 213, 191, 7, 203, 202])).
% 2.15/2.35 tff(221,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.35 tff(222,plain,
% 2.15/2.35 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[221, 201, 7, 191])).
% 2.15/2.35 tff(223,assumption,(z = s(s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.15/2.35 tff(224,plain,
% 2.15/2.35 (s(s(s(s(s(s(s(z))))))) = z),
% 2.15/2.35 inference(symmetry,[status(thm)],[223])).
% 2.15/2.35 tff(225,plain,
% 2.15/2.35 ($false),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[184, 224])).
% 2.15/2.35 tff(226,plain,(~(z = s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.35 tff(227,assumption,(~b(z, s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.35 tff(228,assumption,(~r(z, s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.35 tff(229,plain,
% 2.15/2.35 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(s(s(s(z)))))))) | b(z, s(s(s(s(s(s(s(z)))))))) | r(z, s(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(s(z)))))))) | b(z, s(s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.35 inference(rewrite,[status(thm)],[])).
% 2.15/2.35 tff(230,plain,
% 2.15/2.35 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(s(s(s(z)))))))) | b(z, s(s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.35 inference(quant_inst,[status(thm)],[])).
% 2.15/2.35 tff(231,plain,
% 2.15/2.35 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(s(s(s(z)))))))) | b(z, s(s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(s(s(s(z))))))))),
% 2.15/2.35 inference(modus_ponens,[status(thm)],[230, 229])).
% 2.15/2.35 tff(232,plain,
% 2.15/2.35 ($false),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[231, 110, 228, 227, 226])).
% 2.15/2.35 tff(233,plain,(b(z, s(s(s(s(s(s(s(z)))))))) | r(z, s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.35 tff(234,plain,
% 2.15/2.35 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[233, 222])).
% 2.15/2.35 tff(235,plain,
% 2.15/2.35 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.35 inference(rewrite,[status(thm)],[])).
% 2.15/2.35 tff(236,plain,
% 2.15/2.35 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.35 inference(rewrite,[status(thm)],[])).
% 2.15/2.35 tff(237,plain,
% 2.15/2.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.35 inference(monotonicity,[status(thm)],[236])).
% 2.15/2.35 tff(238,plain,
% 2.15/2.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.35 inference(transitivity,[status(thm)],[237, 235])).
% 2.15/2.35 tff(239,plain,
% 2.15/2.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)))),
% 2.15/2.35 inference(quant_inst,[status(thm)],[])).
% 2.15/2.35 tff(240,plain,
% 2.15/2.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.35 inference(modus_ponens,[status(thm)],[239, 238])).
% 2.15/2.35 tff(241,plain,
% 2.15/2.35 ($false),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[240, 76, 2, 117, 234, 5, 9])).
% 2.15/2.35 tff(242,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.35 tff(243,plain,
% 2.15/2.35 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[242, 117, 2, 9, 190, 171])).
% 2.15/2.35 tff(244,assumption,(~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.15/2.35 tff(245,assumption,(~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.15/2.35 tff(246,plain,
% 2.15/2.35 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))) | r(s(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(s(z))))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 2.15/2.35 inference(rewrite,[status(thm)],[])).
% 2.15/2.35 tff(247,plain,
% 2.15/2.35 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 2.15/2.35 inference(quant_inst,[status(thm)],[])).
% 2.15/2.35 tff(248,plain,
% 2.15/2.35 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(z))))))) = s(s(s(s(z))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.15/2.35 inference(modus_ponens,[status(thm)],[247, 246])).
% 2.15/2.35 tff(249,plain,
% 2.15/2.35 ($false),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[248, 110, 245, 144, 244])).
% 2.15/2.35 tff(250,plain,(r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.35 tff(251,plain,
% 2.15/2.35 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.15/2.35 inference(unit_resolution,[status(thm)],[250, 243])).
% 2.15/2.35 tff(252,assumption,(r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.15/2.35 tff(253,plain,
% 2.15/2.35 (((~![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(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.35 inference(rewrite,[status(thm)],[])).
% 2.15/2.35 tff(254,plain,
% 2.15/2.35 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.35 inference(rewrite,[status(thm)],[])).
% 2.15/2.35 tff(255,plain,
% 2.15/2.35 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.15/2.35 inference(monotonicity,[status(thm)],[254])).
% 2.15/2.35 tff(256,plain,
% 2.15/2.35 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.35 inference(transitivity,[status(thm)],[255, 253])).
% 2.15/2.35 tff(257,plain,
% 2.15/2.35 ((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.35 inference(quant_inst,[status(thm)],[])).
% 2.15/2.35 tff(258,plain,
% 2.15/2.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.35 inference(modus_ponens,[status(thm)],[257, 256])).
% 2.15/2.35 tff(259,plain,
% 2.15/2.35 ($false),
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% 2.15/2.36 tff(293,assumption,(~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.15/2.36 tff(294,assumption,(s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(z))))), introduced(assumption)).
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% 2.15/2.36 tff(316,plain,(b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))) | r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.36 tff(317,plain,
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% 2.15/2.36 inference(rewrite,[status(thm)],[])).
% 2.15/2.36 tff(319,plain,
% 2.15/2.36 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.36 inference(rewrite,[status(thm)],[])).
% 2.15/2.36 tff(320,plain,
% 2.15/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.15/2.36 inference(monotonicity,[status(thm)],[319])).
% 2.15/2.36 tff(321,plain,
% 2.15/2.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.36 inference(transitivity,[status(thm)],[320, 318])).
% 2.15/2.36 tff(322,plain,
% 2.15/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 2.15/2.36 inference(quant_inst,[status(thm)],[])).
% 2.15/2.36 tff(323,plain,
% 2.15/2.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.36 inference(modus_ponens,[status(thm)],[322, 321])).
% 2.15/2.36 tff(324,plain,
% 2.15/2.36 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.36 inference(unit_resolution,[status(thm)],[323, 213, 284, 281, 283])).
% 2.15/2.36 tff(325,plain,
% 2.15/2.36 ((s(s(s(s(z)))) = s(s(s(s(s(s(s(s(s(z)))))))))) <=> (s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(z)))))),
% 2.15/2.36 inference(commutativity,[status(thm)],[])).
% 2.15/2.36 tff(326,assumption,(s(s(s(s(z)))) = s(s(s(s(s(s(s(s(s(z)))))))))), introduced(assumption)).
% 2.15/2.36 tff(327,plain,
% 2.15/2.36 (s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(z))))),
% 2.15/2.36 inference(modus_ponens,[status(thm)],[326, 325])).
% 2.15/2.36 tff(328,assumption,(~(s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(z)))))), introduced(assumption)).
% 2.15/2.36 tff(329,plain,
% 2.15/2.36 ($false),
% 2.15/2.36 inference(unit_resolution,[status(thm)],[328, 327])).
% 2.15/2.36 tff(330,plain,((~(s(s(s(s(z)))) = s(s(s(s(s(s(s(s(s(z))))))))))) | (s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.36 tff(331,plain,
% 2.15/2.36 (~(s(s(s(s(z)))) = s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.36 inference(unit_resolution,[status(thm)],[330, 311])).
% 2.15/2.36 tff(332,assumption,(~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.15/2.36 tff(333,assumption,(~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.15/2.36 tff(334,plain,
% 2.15/2.36 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(z)))), s(s(s(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(s(s(s(z)))))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.36 inference(rewrite,[status(thm)],[])).
% 2.15/2.36 tff(335,plain,
% 2.15/2.36 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.36 inference(quant_inst,[status(thm)],[])).
% 2.15/2.36 tff(336,plain,
% 2.15/2.36 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.36 inference(modus_ponens,[status(thm)],[335, 334])).
% 2.15/2.36 tff(337,plain,
% 2.15/2.36 ($false),
% 2.15/2.36 inference(unit_resolution,[status(thm)],[336, 110, 333, 332, 331])).
% 2.15/2.36 tff(338,plain,(b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.36 tff(339,plain,
% 2.15/2.36 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.36 inference(unit_resolution,[status(thm)],[338, 324])).
% 2.15/2.36 tff(340,plain,
% 2.15/2.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.36 inference(rewrite,[status(thm)],[])).
% 2.15/2.36 tff(341,plain,
% 2.15/2.36 (((~r(s(s(s(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(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(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(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.36 inference(rewrite,[status(thm)],[])).
% 2.15/2.36 tff(342,plain,
% 2.15/2.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(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(s(s(s(z))))))))))) | (~r(z, s(s(s(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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.15/2.36 inference(monotonicity,[status(thm)],[341])).
% 2.15/2.36 tff(343,plain,
% 2.15/2.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(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(s(s(s(z))))))))))) | (~r(z, s(s(s(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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.36 inference(transitivity,[status(thm)],[342, 340])).
% 2.15/2.36 tff(344,plain,
% 2.15/2.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(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(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(z)))))))),
% 2.15/2.36 inference(quant_inst,[status(thm)],[])).
% 2.15/2.36 tff(345,plain,
% 2.15/2.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.36 inference(modus_ponens,[status(thm)],[344, 343])).
% 2.15/2.36 tff(346,plain,
% 2.15/2.36 ($false),
% 2.15/2.36 inference(unit_resolution,[status(thm)],[345, 76, 10, 339, 317, 282])).
% 2.15/2.36 tff(347,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.36 tff(348,plain,
% 2.15/2.36 (~b(s(s(s(s(z)))), s(z))),
% 2.15/2.36 inference(unit_resolution,[status(thm)],[347, 282, 10, 281, 283])).
% 2.15/2.36 tff(349,plain,
% 2.15/2.36 (r(s(s(s(s(z)))), s(z))),
% 2.15/2.36 inference(unit_resolution,[status(thm)],[115, 348])).
% 2.15/2.36 tff(350,assumption,(r(z, s(z))), introduced(assumption)).
% 2.15/2.36 tff(351,plain,
% 2.15/2.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(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(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.15/2.36 inference(rewrite,[status(thm)],[])).
% 2.15/2.36 tff(352,plain,
% 2.15/2.36 (((~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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.15/2.37 inference(rewrite,[status(thm)],[])).
% 2.15/2.37 tff(353,plain,
% 2.15/2.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[352])).
% 2.15/2.37 tff(354,plain,
% 2.15/2.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.15/2.37 inference(transitivity,[status(thm)],[353, 351])).
% 2.15/2.37 tff(355,plain,
% 2.15/2.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(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))))),
% 2.15/2.37 inference(quant_inst,[status(thm)],[])).
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% 2.15/2.37 tff(357,plain,
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% 2.15/2.37 tff(359,plain,
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% 2.15/2.37 inference(commutativity,[status(thm)],[])).
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% 2.15/2.37 inference(unit_resolution,[status(thm)],[363, 59])).
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% 2.15/2.37 inference(modus_ponens,[status(thm)],[364, 362])).
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% 2.15/2.37 inference(rewrite,[status(thm)],[])).
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% 2.15/2.37 tff(368,plain,
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% 2.15/2.37 inference(modus_ponens,[status(thm)],[367, 366])).
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% 2.15/2.37 inference(unit_resolution,[status(thm)],[368, 110])).
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% 2.15/2.37 inference(unit_resolution,[status(thm)],[370, 359])).
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% 2.15/2.37 inference(rewrite,[status(thm)],[])).
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% 2.15/2.37 inference(monotonicity,[status(thm)],[373])).
% 2.15/2.37 tff(375,plain,
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% 2.15/2.37 inference(transitivity,[status(thm)],[374, 372])).
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% 2.15/2.37 inference(quant_inst,[status(thm)],[])).
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% 2.15/2.37 inference(modus_ponens,[status(thm)],[376, 375])).
% 2.15/2.37 tff(378,plain,
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% 2.15/2.37 inference(unit_resolution,[status(thm)],[377, 213, 1, 281, 3, 7, 283])).
% 2.15/2.37 tff(379,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.37 tff(380,plain,
% 2.15/2.37 (~b(s(s(s(s(s(s(s(z))))))), z)),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[379, 3, 281, 1, 283])).
% 2.15/2.37 tff(381,plain,
% 2.15/2.37 (r(s(s(s(s(s(s(s(z))))))), z)),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[189, 380])).
% 2.15/2.37 tff(382,assumption,(r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.15/2.37 tff(383,plain,
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% 2.15/2.37 inference(monotonicity,[status(thm)],[384])).
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% 2.15/2.37 inference(transitivity,[status(thm)],[385, 383])).
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% 2.15/2.37 tff(388,plain,
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% 2.15/2.37 tff(389,plain,
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% 2.15/2.37 inference(unit_resolution,[status(thm)],[388, 76, 14, 382, 282, 13])).
% 2.15/2.37 tff(390,plain,((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.37 tff(391,plain,
% 2.15/2.37 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[390, 381, 282, 13])).
% 2.15/2.37 tff(392,assumption,(~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.15/2.37 tff(393,assumption,(~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.15/2.37 tff(394,plain,
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% 2.15/2.37 inference(commutativity,[status(thm)],[])).
% 2.15/2.37 tff(395,plain,
% 2.15/2.37 ((s(s(s(s(s(s(s(z))))))) = s(s(s(s(s(s(s(s(s(z)))))))))) <=> (s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z))))))))),
% 2.15/2.37 inference(symmetry,[status(thm)],[394])).
% 2.15/2.37 tff(396,assumption,(s(s(s(s(s(s(s(z))))))) = s(s(s(s(s(s(s(s(s(z)))))))))), introduced(assumption)).
% 2.15/2.37 tff(397,plain,
% 2.15/2.37 (s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z)))))))),
% 2.15/2.37 inference(modus_ponens,[status(thm)],[396, 395])).
% 2.15/2.37 tff(398,plain,
% 2.15/2.37 ((s(s(s(s(s(s(s(z))))))) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(s(s(s(s(s(z))))))))),
% 2.15/2.37 inference(commutativity,[status(thm)],[])).
% 2.15/2.37 tff(399,plain,
% 2.15/2.37 ((s(s(s(z))) = s(s(s(s(s(s(s(z)))))))) <=> (s(s(s(s(s(s(s(z))))))) = s(s(s(z))))),
% 2.15/2.37 inference(symmetry,[status(thm)],[398])).
% 2.15/2.37 tff(400,assumption,(s(s(s(z))) = s(s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.15/2.37 tff(401,plain,
% 2.15/2.37 (s(s(s(s(s(s(s(z))))))) = s(s(s(z)))),
% 2.15/2.37 inference(modus_ponens,[status(thm)],[400, 399])).
% 2.15/2.37 tff(402,assumption,(s(s(s(s(s(s(s(z))))))) = s(s(s(z)))), introduced(assumption)).
% 2.15/2.37 tff(403,plain,
% 2.15/2.37 (inj_0(s(s(s(s(s(s(s(z)))))))) = inj_0(s(s(s(z))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[402])).
% 2.15/2.37 tff(404,plain,
% 2.15/2.37 (s(s(s(s(s(s(z)))))) = s(s(z))),
% 2.15/2.37 inference(transitivity,[status(thm)],[51, 403, 31])).
% 2.15/2.37 tff(405,plain,
% 2.15/2.37 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(s(z)))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[404])).
% 2.15/2.37 tff(406,plain,
% 2.15/2.37 (s(s(s(s(s(s(s(s(z)))))))) = s(s(s(s(z))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[402])).
% 2.15/2.37 tff(407,plain,
% 2.15/2.37 (s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(z)))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[406])).
% 2.15/2.37 tff(408,plain,
% 2.15/2.37 (s(s(s(s(s(s(s(s(s(z))))))))) = s(z)),
% 2.15/2.37 inference(transitivity,[status(thm)],[407, 304, 405, 29])).
% 2.15/2.37 tff(409,assumption,(~(s(s(s(s(s(s(s(s(s(z))))))))) = s(z))), introduced(assumption)).
% 2.15/2.37 tff(410,plain,
% 2.15/2.37 ($false),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[409, 408])).
% 2.15/2.37 tff(411,plain,((~(s(s(s(s(s(s(s(z))))))) = s(s(s(z))))) | (s(s(s(s(s(s(s(s(s(z))))))))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.37 tff(412,plain,
% 2.15/2.37 (~(s(s(s(s(s(s(s(z))))))) = s(s(s(z))))),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[411, 270])).
% 2.15/2.37 tff(413,plain,
% 2.15/2.37 ($false),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[412, 401])).
% 2.15/2.37 tff(414,plain,(~(s(s(s(z))) = s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.37 tff(415,assumption,(s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z)))))))), introduced(assumption)).
% 2.15/2.37 tff(416,plain,
% 2.15/2.37 (inj_0(s(s(s(s(s(s(s(s(s(z)))))))))) = inj_0(s(s(s(s(s(s(s(z))))))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[415])).
% 2.15/2.37 tff(417,plain,
% 2.15/2.37 (inj_0(s(s(s(s(s(s(s(z)))))))) = inj_0(s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.37 inference(symmetry,[status(thm)],[416])).
% 2.15/2.37 tff(418,plain,
% 2.15/2.37 (s(s(s(s(s(s(z)))))) = s(s(s(s(s(s(s(s(z))))))))),
% 2.15/2.37 inference(transitivity,[status(thm)],[51, 417, 35])).
% 2.15/2.37 tff(419,plain,
% 2.15/2.37 (inj_0(s(s(s(s(s(s(z))))))) = inj_0(s(s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[418])).
% 2.15/2.37 tff(420,plain,
% 2.15/2.37 (s(s(s(s(s(z))))) = s(s(s(s(s(s(s(z)))))))),
% 2.15/2.37 inference(transitivity,[status(thm)],[304, 419, 40])).
% 2.15/2.37 tff(421,plain,
% 2.15/2.37 (inj_0(s(s(s(s(s(z)))))) = inj_0(s(s(s(s(s(s(s(z))))))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[420])).
% 2.15/2.37 tff(422,plain,
% 2.15/2.37 (s(s(s(s(z)))) = inj_0(s(s(s(s(s(z))))))),
% 2.15/2.37 inference(symmetry,[status(thm)],[130])).
% 2.15/2.37 tff(423,plain,
% 2.15/2.37 (s(s(s(s(z)))) = s(s(s(s(s(s(z))))))),
% 2.15/2.37 inference(transitivity,[status(thm)],[422, 421, 50])).
% 2.15/2.37 tff(424,plain,
% 2.15/2.37 (inj_0(s(s(s(s(z))))) = inj_0(s(s(s(s(s(s(z)))))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[423])).
% 2.15/2.37 tff(425,plain,
% 2.15/2.37 (s(s(s(z))) = s(s(s(s(s(s(s(z)))))))),
% 2.15/2.37 inference(transitivity,[status(thm)],[94, 424, 419, 40])).
% 2.15/2.37 tff(426,assumption,(~(s(s(s(z))) = s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.37 tff(427,plain,
% 2.15/2.37 ($false),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[426, 425])).
% 2.15/2.37 tff(428,plain,((~(s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z))))))))) | (s(s(s(z))) = s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.37 tff(429,plain,
% 2.15/2.37 (~(s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(s(s(s(s(z))))))))),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[428, 414])).
% 2.15/2.37 tff(430,plain,
% 2.15/2.37 ($false),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[429, 397])).
% 2.15/2.37 tff(431,plain,(~(s(s(s(s(s(s(s(z))))))) = s(s(s(s(s(s(s(s(s(z))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.37 tff(432,plain,
% 2.15/2.37 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(z))))))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.37 inference(rewrite,[status(thm)],[])).
% 2.15/2.37 tff(433,plain,
% 2.15/2.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.37 inference(quant_inst,[status(thm)],[])).
% 2.15/2.37 tff(434,plain,
% 2.15/2.37 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(z))))))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.37 inference(modus_ponens,[status(thm)],[433, 432])).
% 2.15/2.37 tff(435,plain,
% 2.15/2.37 ($false),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[434, 110, 431, 393, 392])).
% 2.15/2.37 tff(436,plain,(b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.37 tff(437,plain,
% 2.15/2.37 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.37 inference(unit_resolution,[status(thm)],[436, 391])).
% 2.15/2.37 tff(438,plain,
% 2.15/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.15/2.37 inference(rewrite,[status(thm)],[])).
% 2.15/2.37 tff(439,plain,
% 2.15/2.37 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.15/2.37 inference(rewrite,[status(thm)],[])).
% 2.15/2.37 tff(440,plain,
% 2.15/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.15/2.37 inference(monotonicity,[status(thm)],[439])).
% 2.15/2.37 tff(441,plain,
% 2.15/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.15/2.38 inference(transitivity,[status(thm)],[440, 438])).
% 2.15/2.38 tff(442,plain,
% 2.15/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.38 inference(quant_inst,[status(thm)],[])).
% 2.15/2.38 tff(443,plain,
% 2.15/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 2.15/2.38 inference(modus_ponens,[status(thm)],[442, 441])).
% 2.15/2.38 tff(444,plain,
% 2.15/2.38 ($false),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[443, 213, 281, 3, 283, 437])).
% 2.15/2.38 tff(445,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.38 tff(446,plain,
% 2.15/2.38 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[445, 282, 283, 281, 13, 371])).
% 2.15/2.38 tff(447,plain,
% 2.15/2.38 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = s(z)) | b(s(s(s(s(s(s(s(z))))))), s(z)) | r(s(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(s(z))))))) = s(z)) | b(s(s(s(s(s(s(s(z))))))), s(z)) | r(s(s(s(s(s(s(s(z))))))), s(z)))),
% 2.15/2.38 inference(rewrite,[status(thm)],[])).
% 2.15/2.38 tff(448,plain,
% 2.15/2.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = s(z)) | b(s(s(s(s(s(s(s(z))))))), s(z)) | r(s(s(s(s(s(s(s(z))))))), s(z)))),
% 2.15/2.38 inference(quant_inst,[status(thm)],[])).
% 2.15/2.38 tff(449,plain,
% 2.15/2.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(z))))))) = s(z)) | b(s(s(s(s(s(s(s(z))))))), s(z)) | r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.15/2.38 inference(modus_ponens,[status(thm)],[448, 447])).
% 2.15/2.38 tff(450,plain,
% 2.15/2.38 (b(s(s(s(s(s(s(s(z))))))), s(z)) | r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[449, 110, 63])).
% 2.15/2.38 tff(451,plain,
% 2.15/2.38 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[450, 446])).
% 2.15/2.38 tff(452,plain,
% 2.15/2.38 (~r(z, s(z))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[358, 16, 10, 117])).
% 2.15/2.38 tff(453,plain,
% 2.15/2.38 (b(z, s(z))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[370, 452])).
% 2.15/2.38 tff(454,plain,
% 2.15/2.38 (((~![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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.15/2.38 inference(rewrite,[status(thm)],[])).
% 2.15/2.38 tff(455,plain,
% 2.15/2.38 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.15/2.38 inference(rewrite,[status(thm)],[])).
% 2.15/2.38 tff(456,plain,
% 2.15/2.38 (((~![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(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 2.15/2.38 inference(monotonicity,[status(thm)],[455])).
% 2.15/2.38 tff(457,plain,
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% 2.15/2.38 inference(transitivity,[status(thm)],[456, 454])).
% 2.15/2.38 tff(458,plain,
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% 2.15/2.38 inference(quant_inst,[status(thm)],[])).
% 2.15/2.38 tff(459,plain,
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% 2.15/2.38 inference(modus_ponens,[status(thm)],[458, 457])).
% 2.15/2.38 tff(460,plain,
% 2.15/2.38 ($false),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[459, 76, 117, 16, 15, 5])).
% 2.15/2.38 tff(461,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.38 tff(462,plain,
% 2.15/2.38 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[461, 15, 117, 16])).
% 2.15/2.38 tff(463,plain,
% 2.15/2.38 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[250, 462])).
% 2.15/2.38 tff(464,assumption,(b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.15/2.38 tff(465,plain,
% 2.15/2.38 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[84, 15, 16, 9])).
% 2.15/2.38 tff(466,plain,
% 2.15/2.38 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[153, 465])).
% 2.15/2.38 tff(467,assumption,(b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.38 tff(468,assumption,(b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))), introduced(assumption)).
% 2.15/2.38 tff(469,plain,
% 2.15/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.38 inference(rewrite,[status(thm)],[])).
% 2.15/2.38 tff(470,plain,
% 2.15/2.38 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.38 inference(rewrite,[status(thm)],[])).
% 2.15/2.38 tff(471,plain,
% 2.15/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.15/2.38 inference(monotonicity,[status(thm)],[470])).
% 2.15/2.38 tff(472,plain,
% 2.15/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.15/2.38 inference(transitivity,[status(thm)],[471, 469])).
% 2.15/2.38 tff(473,plain,
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% 2.15/2.38 inference(quant_inst,[status(thm)],[])).
% 2.15/2.38 tff(474,plain,
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% 2.15/2.38 inference(modus_ponens,[status(thm)],[473, 472])).
% 2.15/2.38 tff(475,plain,
% 2.15/2.38 ($false),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[474, 213, 468, 203, 467, 464])).
% 2.15/2.38 tff(476,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.38 tff(477,plain,
% 2.15/2.38 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[476, 466, 464, 463])).
% 2.15/2.38 tff(478,assumption,(~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.38 tff(479,assumption,(~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.38 tff(480,plain,
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% 2.15/2.38 tff(481,plain,
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% 2.15/2.38 tff(482,plain,
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% 2.15/2.38 tff(483,plain,
% 2.15/2.38 ($false),
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% 2.15/2.38 tff(484,plain,(r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))) | b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.38 tff(485,plain,
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% 2.15/2.38 inference(unit_resolution,[status(thm)],[484, 477])).
% 2.15/2.38 tff(486,assumption,(s(s(s(z))) = s(s(s(s(z))))), introduced(assumption)).
% 2.15/2.38 tff(487,plain,
% 2.15/2.38 (inj_0(s(s(s(z)))) = inj_0(s(s(s(s(z)))))),
% 2.15/2.38 inference(monotonicity,[status(thm)],[486])).
% 2.15/2.38 tff(488,plain,
% 2.15/2.38 (s(s(z)) = s(s(s(s(z))))),
% 2.15/2.38 inference(transitivity,[status(thm)],[138, 487, 93, 486])).
% 2.15/2.38 tff(489,assumption,(s(s(z)) = s(s(s(s(z))))), introduced(assumption)).
% 2.15/2.38 tff(490,plain,
% 2.15/2.38 (s(s(s(s(z)))) = s(s(z))),
% 2.15/2.38 inference(symmetry,[status(thm)],[489])).
% 2.15/2.38 tff(491,plain,
% 2.15/2.38 (inj_0(s(s(s(s(z))))) = inj_0(s(s(z)))),
% 2.15/2.38 inference(monotonicity,[status(thm)],[490])).
% 2.15/2.38 tff(492,plain,
% 2.15/2.38 (inj_0(s(s(z))) = inj_0(s(s(s(s(z)))))),
% 2.15/2.38 inference(symmetry,[status(thm)],[491])).
% 2.15/2.38 tff(493,plain,
% 2.15/2.38 (s(z) = s(s(s(z)))),
% 2.15/2.38 inference(transitivity,[status(thm)],[141, 492, 93])).
% 2.15/2.38 tff(494,assumption,(s(z) = s(s(s(z)))), introduced(assumption)).
% 2.15/2.38 tff(495,plain,
% 2.15/2.38 (inj_0(s(z)) = inj_0(s(s(s(z))))),
% 2.15/2.38 inference(monotonicity,[status(thm)],[494])).
% 2.15/2.38 tff(496,plain,
% 2.15/2.38 (inj_0(s(s(s(z)))) = inj_0(s(z))),
% 2.15/2.38 inference(symmetry,[status(thm)],[495])).
% 2.15/2.38 tff(497,plain,
% 2.15/2.38 (s(s(z)) = z),
% 2.15/2.38 inference(transitivity,[status(thm)],[138, 496, 44])).
% 2.15/2.38 tff(498,plain,
% 2.15/2.38 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(z)) = z))),
% 2.15/2.38 inference(quant_inst,[status(thm)],[])).
% 2.15/2.38 tff(499,plain,
% 2.15/2.38 (~(s(s(z)) = z)),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[498, 59])).
% 2.15/2.38 tff(500,plain,
% 2.15/2.38 ($false),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[499, 497])).
% 2.15/2.38 tff(501,plain,(~(s(z) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.38 tff(502,plain,
% 2.15/2.38 ($false),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[501, 493])).
% 2.15/2.38 tff(503,plain,(~(s(s(z)) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.38 tff(504,plain,
% 2.15/2.38 ($false),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[503, 488])).
% 2.15/2.38 tff(505,plain,(~(s(s(s(z))) = s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.38 tff(506,assumption,(b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.15/2.38 tff(507,plain,
% 2.15/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.38 inference(rewrite,[status(thm)],[])).
% 2.15/2.38 tff(508,plain,
% 2.15/2.38 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.38 inference(rewrite,[status(thm)],[])).
% 2.15/2.38 tff(509,plain,
% 2.15/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.38 inference(monotonicity,[status(thm)],[508])).
% 2.15/2.38 tff(510,plain,
% 2.15/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.38 inference(transitivity,[status(thm)],[509, 507])).
% 2.15/2.38 tff(511,plain,
% 2.15/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.15/2.38 inference(quant_inst,[status(thm)],[])).
% 2.15/2.38 tff(512,plain,
% 2.15/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.38 inference(modus_ponens,[status(thm)],[511, 510])).
% 2.15/2.38 tff(513,plain,
% 2.15/2.38 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.15/2.38 inference(unit_resolution,[status(thm)],[512, 213, 506, 468, 203])).
% 2.15/2.38 tff(514,plain,
% 2.15/2.38 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z))))))),
% 2.15/2.38 inference(rewrite,[status(thm)],[])).
% 2.15/2.38 tff(515,plain,
% 2.15/2.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z))))))),
% 2.15/2.38 inference(quant_inst,[status(thm)],[])).
% 2.15/2.38 tff(516,plain,
% 2.15/2.38 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z))))) | r(s(s(s(z))), s(s(s(s(z)))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[515, 514])).
% 2.15/2.39 tff(517,plain,
% 2.15/2.39 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[516, 110, 513, 505])).
% 2.15/2.39 tff(518,plain,
% 2.15/2.39 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(519,plain,
% 2.15/2.39 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(520,plain,
% 2.15/2.39 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.15/2.39 inference(monotonicity,[status(thm)],[519])).
% 2.15/2.39 tff(521,plain,
% 2.15/2.39 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.15/2.39 inference(transitivity,[status(thm)],[520, 518])).
% 2.15/2.39 tff(522,plain,
% 2.15/2.39 ((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.15/2.39 inference(quant_inst,[status(thm)],[])).
% 2.15/2.39 tff(523,plain,
% 2.15/2.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[522, 521])).
% 2.15/2.39 tff(524,plain,
% 2.15/2.39 (~r(s(s(s(z))), s(z))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[523, 76, 117, 16, 517])).
% 2.15/2.39 tff(525,assumption,(s(s(s(z))) = s(z)), introduced(assumption)).
% 2.15/2.39 tff(526,plain,
% 2.15/2.39 (s(z) = s(s(s(z)))),
% 2.15/2.39 inference(symmetry,[status(thm)],[525])).
% 2.15/2.39 tff(527,plain,
% 2.15/2.39 ($false),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[501, 526])).
% 2.15/2.39 tff(528,plain,(~(s(s(s(z))) = s(z))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.39 tff(529,assumption,(~r(s(s(s(z))), s(z))), introduced(assumption)).
% 2.15/2.39 tff(530,assumption,(~b(s(s(s(z))), s(z))), introduced(assumption)).
% 2.15/2.39 tff(531,plain,
% 2.15/2.39 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z)))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(532,plain,
% 2.15/2.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z)))),
% 2.15/2.39 inference(quant_inst,[status(thm)],[])).
% 2.15/2.39 tff(533,plain,
% 2.15/2.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[532, 531])).
% 2.15/2.39 tff(534,plain,
% 2.15/2.39 ($false),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[533, 110, 530, 529, 528])).
% 2.15/2.39 tff(535,plain,(b(s(s(s(z))), s(z)) | r(s(s(s(z))), s(z))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.39 tff(536,plain,
% 2.15/2.39 (b(s(s(s(z))), s(z))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[535, 524])).
% 2.15/2.39 tff(537,plain,
% 2.15/2.39 ((s(s(s(s(z)))) = s(s(s(z)))) <=> (s(s(s(z))) = s(s(s(s(z)))))),
% 2.15/2.39 inference(commutativity,[status(thm)],[])).
% 2.15/2.39 tff(538,plain,
% 2.15/2.39 ((s(s(s(z))) = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = s(s(s(z))))),
% 2.15/2.39 inference(symmetry,[status(thm)],[537])).
% 2.15/2.39 tff(539,plain,
% 2.15/2.39 ((~(s(s(s(z))) = s(s(s(s(z)))))) <=> (~(s(s(s(s(z)))) = s(s(s(z)))))),
% 2.15/2.39 inference(monotonicity,[status(thm)],[538])).
% 2.15/2.39 tff(540,plain,
% 2.15/2.39 (~(s(s(s(s(z)))) = s(s(s(z))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[505, 539])).
% 2.15/2.39 tff(541,plain,
% 2.15/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(542,plain,
% 2.15/2.39 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(543,plain,
% 2.15/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.15/2.39 inference(monotonicity,[status(thm)],[542])).
% 2.15/2.39 tff(544,plain,
% 2.15/2.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.15/2.39 inference(transitivity,[status(thm)],[543, 541])).
% 2.15/2.39 tff(545,plain,
% 2.15/2.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 2.15/2.39 inference(quant_inst,[status(thm)],[])).
% 2.15/2.39 tff(546,plain,
% 2.15/2.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[545, 544])).
% 2.15/2.39 tff(547,plain,
% 2.15/2.39 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[546, 213, 506, 468, 203])).
% 2.15/2.39 tff(548,plain,
% 2.15/2.39 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z)))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(549,plain,
% 2.15/2.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z)))))),
% 2.15/2.39 inference(quant_inst,[status(thm)],[])).
% 2.15/2.39 tff(550,plain,
% 2.15/2.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[549, 548])).
% 2.15/2.39 tff(551,plain,
% 2.15/2.39 ((s(s(s(s(z)))) = s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[550, 110, 547])).
% 2.15/2.39 tff(552,plain,
% 2.15/2.39 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[551, 540])).
% 2.15/2.39 tff(553,plain,
% 2.15/2.39 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(554,plain,
% 2.15/2.39 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(555,plain,
% 2.15/2.39 (((~![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(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.15/2.39 inference(monotonicity,[status(thm)],[554])).
% 2.15/2.39 tff(556,plain,
% 2.15/2.39 (((~![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(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.15/2.39 inference(transitivity,[status(thm)],[555, 553])).
% 2.15/2.39 tff(557,plain,
% 2.15/2.39 ((~![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(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.15/2.39 inference(quant_inst,[status(thm)],[])).
% 2.15/2.39 tff(558,plain,
% 2.15/2.39 ((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[557, 556])).
% 2.15/2.39 tff(559,plain,
% 2.15/2.39 (~r(s(z), s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[558, 76, 117, 552, 517])).
% 2.15/2.39 tff(560,plain,
% 2.15/2.39 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z)))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(561,plain,
% 2.15/2.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z)))))),
% 2.15/2.39 inference(quant_inst,[status(thm)],[])).
% 2.15/2.39 tff(562,plain,
% 2.15/2.39 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[561, 560])).
% 2.15/2.39 tff(563,plain,
% 2.15/2.39 ((s(z) = s(s(s(z)))) | b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[562, 110])).
% 2.15/2.39 tff(564,plain,
% 2.15/2.39 (b(s(z), s(s(s(z)))) | r(s(z), s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[563, 501])).
% 2.15/2.39 tff(565,plain,
% 2.15/2.39 (b(s(z), s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[564, 559])).
% 2.15/2.39 tff(566,plain,
% 2.15/2.39 (((~![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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(567,plain,
% 2.15/2.39 (((~r(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(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.15/2.39 inference(rewrite,[status(thm)],[])).
% 2.15/2.39 tff(568,plain,
% 2.15/2.39 (((~![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(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))))),
% 2.15/2.39 inference(monotonicity,[status(thm)],[567])).
% 2.15/2.39 tff(569,plain,
% 2.15/2.39 (((~![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(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.15/2.39 inference(transitivity,[status(thm)],[568, 566])).
% 2.15/2.39 tff(570,plain,
% 2.15/2.39 ((~![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(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))),
% 2.15/2.39 inference(quant_inst,[status(thm)],[])).
% 2.15/2.39 tff(571,plain,
% 2.15/2.39 ((~![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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[570, 569])).
% 2.15/2.39 tff(572,plain,
% 2.15/2.39 (~r(z, s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[571, 76, 10, 552, 517])).
% 2.15/2.39 tff(573,plain,
% 2.15/2.39 ((z = s(s(s(z)))) <=> (s(s(s(z))) = z)),
% 2.15/2.39 inference(commutativity,[status(thm)],[])).
% 2.15/2.39 tff(574,plain,
% 2.15/2.39 ((s(s(s(z))) = z) <=> (z = s(s(s(z))))),
% 2.15/2.39 inference(symmetry,[status(thm)],[573])).
% 2.15/2.39 tff(575,plain,
% 2.15/2.39 ((~(s(s(s(z))) = z)) <=> (~(z = s(s(s(z)))))),
% 2.15/2.39 inference(monotonicity,[status(thm)],[574])).
% 2.15/2.39 tff(576,plain,
% 2.15/2.39 (~(z = s(s(s(z))))),
% 2.15/2.39 inference(modus_ponens,[status(thm)],[97, 575])).
% 2.15/2.39 tff(577,plain,
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% 2.15/2.39 inference(modus_ponens,[status(thm)],[578, 577])).
% 2.15/2.39 tff(580,plain,
% 2.15/2.39 ((z = s(s(s(z)))) | b(z, s(s(s(z)))) | r(z, s(s(s(z))))),
% 2.15/2.39 inference(unit_resolution,[status(thm)],[579, 110])).
% 2.15/2.39 tff(581,plain,
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% 2.15/2.39 inference(unit_resolution,[status(thm)],[580, 576])).
% 2.15/2.39 tff(582,plain,
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% 2.15/2.39 inference(rewrite,[status(thm)],[])).
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% 2.15/2.39 inference(monotonicity,[status(thm)],[584])).
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% 2.15/2.40 inference(unit_resolution,[status(thm)],[588, 213, 453, 582, 565, 536])).
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% 2.15/2.40 tff(591,plain,
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% 2.15/2.40 tff(592,plain,
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% 2.15/2.40 tff(593,plain,
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% 2.15/2.40 ((s(s(s(z))) = s(s(s(s(s(s(s(z)))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 2.15/2.40 inference(unit_resolution,[status(thm)],[595, 414])).
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% 2.15/2.40 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.15/2.40 inference(unit_resolution,[status(thm)],[596, 591])).
% 2.15/2.40 tff(598,assumption,(r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
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% 2.25/2.40 inference(monotonicity,[status(thm)],[600])).
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% 2.25/2.40 tff(611,plain,
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% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(613,plain,
% 2.25/2.40 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(614,plain,
% 2.25/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.25/2.40 inference(monotonicity,[status(thm)],[613])).
% 2.25/2.40 tff(615,plain,
% 2.25/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.25/2.40 inference(transitivity,[status(thm)],[614, 612])).
% 2.25/2.40 tff(616,plain,
% 2.25/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(617,plain,
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% 2.25/2.40 inference(modus_ponens,[status(thm)],[616, 615])).
% 2.25/2.40 tff(618,plain,
% 2.25/2.40 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[617, 213, 1, 611, 283])).
% 2.25/2.40 tff(619,assumption,(~r(s(s(s(s(s(s(s(s(s(z))))))))), z)), introduced(assumption)).
% 2.25/2.40 tff(620,assumption,(~b(s(s(s(s(s(s(s(s(s(z))))))))), z)), introduced(assumption)).
% 2.25/2.40 tff(621,plain,
% 2.25/2.40 ((~![X: $i] : (~(s(X) = z))) | (~(s(s(s(s(s(s(s(s(s(z))))))))) = z))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(622,plain,
% 2.25/2.40 (~(s(s(s(s(s(s(s(s(s(z))))))))) = z)),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[621, 59])).
% 2.25/2.40 tff(623,plain,
% 2.25/2.40 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(s(s(z))))))))) = z) | b(s(s(s(s(s(s(s(s(s(z))))))))), z) | r(s(s(s(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(s(s(s(z))))))))) = z) | b(s(s(s(s(s(s(s(s(s(z))))))))), z) | r(s(s(s(s(s(s(s(s(s(z))))))))), z))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(624,plain,
% 2.25/2.40 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(s(s(z))))))))) = z) | b(s(s(s(s(s(s(s(s(s(z))))))))), z) | r(s(s(s(s(s(s(s(s(s(z))))))))), z))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(625,plain,
% 2.25/2.40 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(s(s(z))))))))) = z) | b(s(s(s(s(s(s(s(s(s(z))))))))), z) | r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[624, 623])).
% 2.25/2.40 tff(626,plain,
% 2.25/2.40 ($false),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[625, 110, 622, 620, 619])).
% 2.25/2.40 tff(627,plain,(r(s(s(s(s(s(s(s(s(s(z))))))))), z) | b(s(s(s(s(s(s(s(s(s(z))))))))), z)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.40 tff(628,plain,
% 2.25/2.40 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[627, 618])).
% 2.25/2.40 tff(629,plain,
% 2.25/2.40 ((s(s(s(z))) = s(z)) <=> (s(z) = s(s(s(z))))),
% 2.25/2.40 inference(commutativity,[status(thm)],[])).
% 2.25/2.40 tff(630,plain,
% 2.25/2.40 ((s(z) = s(s(s(z)))) <=> (s(s(s(z))) = s(z))),
% 2.25/2.40 inference(symmetry,[status(thm)],[629])).
% 2.25/2.40 tff(631,plain,
% 2.25/2.40 ((~(s(z) = s(s(s(z))))) <=> (~(s(s(s(z))) = s(z)))),
% 2.25/2.40 inference(monotonicity,[status(thm)],[630])).
% 2.25/2.40 tff(632,plain,
% 2.25/2.40 (~(s(s(s(z))) = s(z))),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[501, 631])).
% 2.25/2.40 tff(633,plain,
% 2.25/2.40 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(634,plain,
% 2.25/2.40 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(635,plain,
% 2.25/2.40 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))))),
% 2.25/2.40 inference(monotonicity,[status(thm)],[634])).
% 2.25/2.40 tff(636,plain,
% 2.25/2.40 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.25/2.40 inference(transitivity,[status(thm)],[635, 633])).
% 2.25/2.40 tff(637,plain,
% 2.25/2.40 ((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(638,plain,
% 2.25/2.40 ((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[637, 636])).
% 2.25/2.40 tff(639,plain,
% 2.25/2.40 (~r(s(s(s(z))), s(z))),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[638, 76, 11, 15, 9])).
% 2.25/2.40 tff(640,plain,
% 2.25/2.40 ((s(s(s(z))) = s(z)) | b(s(s(s(z))), s(z))),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[533, 110, 639])).
% 2.25/2.40 tff(641,plain,
% 2.25/2.40 (b(s(s(s(z))), s(z))),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[640, 632])).
% 2.25/2.40 tff(642,plain,
% 2.25/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(643,plain,
% 2.25/2.40 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(644,plain,
% 2.25/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 2.25/2.40 inference(monotonicity,[status(thm)],[643])).
% 2.25/2.40 tff(645,plain,
% 2.25/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.40 inference(transitivity,[status(thm)],[644, 642])).
% 2.25/2.40 tff(646,plain,
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% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
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% 2.25/2.40 inference(modus_ponens,[status(thm)],[646, 645])).
% 2.25/2.40 tff(648,plain,
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% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
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% 2.25/2.41 inference(unit_resolution,[status(thm)],[651, 110])).
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% 2.25/2.41 inference(unit_resolution,[status(thm)],[652, 65])).
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% 2.25/2.41 inference(rewrite,[status(thm)],[])).
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% 2.25/2.41 inference(monotonicity,[status(thm)],[656])).
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% 2.25/2.41 inference(transitivity,[status(thm)],[657, 655])).
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% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(720,plain,
% 2.25/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.25/2.41 inference(monotonicity,[status(thm)],[719])).
% 2.25/2.41 tff(721,plain,
% 2.25/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.25/2.41 inference(transitivity,[status(thm)],[720, 718])).
% 2.25/2.41 tff(722,plain,
% 2.25/2.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(723,plain,
% 2.25/2.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[722, 721])).
% 2.25/2.41 tff(724,plain,
% 2.25/2.41 ($false),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[723, 213, 468, 203, 467, 717])).
% 2.25/2.41 tff(725,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.41 tff(726,plain,
% 2.25/2.41 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[725, 716, 251, 154])).
% 2.25/2.41 tff(727,plain,
% 2.25/2.41 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[484, 726])).
% 2.25/2.41 tff(728,plain,
% 2.25/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(729,plain,
% 2.25/2.42 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(730,plain,
% 2.25/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[729])).
% 2.25/2.42 tff(731,plain,
% 2.25/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.25/2.42 inference(transitivity,[status(thm)],[730, 728])).
% 2.25/2.42 tff(732,plain,
% 2.25/2.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(733,plain,
% 2.25/2.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[732, 731])).
% 2.25/2.42 tff(734,plain,
% 2.25/2.42 ($false),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[733, 213, 191, 7, 468, 202])).
% 2.25/2.42 tff(735,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.42 tff(736,plain,
% 2.25/2.42 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[735, 251, 171, 190])).
% 2.25/2.42 tff(737,plain,
% 2.25/2.42 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[233, 736])).
% 2.25/2.42 tff(738,assumption,(r(z, s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
% 2.25/2.42 tff(739,plain,
% 2.25/2.42 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(740,plain,
% 2.25/2.42 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(741,plain,
% 2.25/2.42 (((~![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(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[740])).
% 2.25/2.42 tff(742,plain,
% 2.25/2.42 (((~![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(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.42 inference(transitivity,[status(thm)],[741, 739])).
% 2.25/2.42 tff(743,plain,
% 2.25/2.42 ((~![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(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(744,plain,
% 2.25/2.42 ((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[743, 742])).
% 2.25/2.42 tff(745,plain,
% 2.25/2.42 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[744, 76, 2, 738, 9, 13])).
% 2.25/2.42 tff(746,plain,
% 2.25/2.42 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[279, 745])).
% 2.25/2.42 tff(747,assumption,(b(z, s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.25/2.42 tff(748,plain,
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% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(749,plain,
% 2.25/2.42 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(750,plain,
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% 2.25/2.42 inference(monotonicity,[status(thm)],[749])).
% 2.25/2.42 tff(751,plain,
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% 2.25/2.42 inference(transitivity,[status(thm)],[750, 748])).
% 2.25/2.42 tff(752,plain,
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% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(753,plain,
% 2.25/2.42 ((~![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(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[752, 751])).
% 2.25/2.42 tff(754,plain,
% 2.25/2.42 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[753, 76, 2, 738, 598])).
% 2.25/2.42 tff(755,plain,
% 2.25/2.42 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[754, 13])).
% 2.25/2.42 tff(756,plain,
% 2.25/2.42 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[610, 755])).
% 2.25/2.42 tff(757,plain,
% 2.25/2.42 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(758,plain,
% 2.25/2.42 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(759,plain,
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% 2.25/2.42 inference(monotonicity,[status(thm)],[758])).
% 2.25/2.42 tff(760,plain,
% 2.25/2.42 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.42 inference(transitivity,[status(thm)],[759, 757])).
% 2.25/2.42 tff(761,plain,
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% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
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% 2.25/2.42 inference(modus_ponens,[status(thm)],[761, 760])).
% 2.25/2.42 tff(763,plain,
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% 2.25/2.42 inference(unit_resolution,[status(thm)],[762, 76, 738, 15, 9])).
% 2.25/2.42 tff(764,plain,
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% 2.25/2.42 inference(unit_resolution,[status(thm)],[370, 763])).
% 2.25/2.42 tff(765,plain,
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% 2.25/2.42 tff(766,plain,
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% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(767,plain,
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% 2.25/2.42 inference(monotonicity,[status(thm)],[766])).
% 2.25/2.42 tff(768,plain,
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% 2.25/2.42 tff(771,plain,
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% 2.25/2.42 inference(unit_resolution,[status(thm)],[770, 213, 764, 281, 746, 747])).
% 2.25/2.42 tff(772,plain,((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.42 tff(773,plain,
% 2.25/2.42 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
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% 2.25/2.42 tff(774,plain,
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% 2.25/2.42 inference(unit_resolution,[status(thm)],[450, 773])).
% 2.25/2.42 tff(775,plain,
% 2.25/2.42 (((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(776,plain,
% 2.25/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.25/2.42 inference(monotonicity,[status(thm)],[775])).
% 2.25/2.42 tff(777,plain,
% 2.25/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.25/2.42 inference(transitivity,[status(thm)],[776, 765])).
% 2.25/2.42 tff(778,plain,
% 2.25/2.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(779,plain,
% 2.25/2.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[778, 777])).
% 2.25/2.42 tff(780,plain,
% 2.25/2.42 (~b(z, s(z))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[779, 213, 756, 746, 747])).
% 2.25/2.42 tff(781,plain,
% 2.25/2.42 (r(z, s(z))),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[370, 780])).
% 2.25/2.42 tff(782,assumption,(b(s(z), s(s(s(s(z)))))), introduced(assumption)).
% 2.25/2.42 tff(783,plain,
% 2.25/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(784,plain,
% 2.25/2.43 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(785,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[784])).
% 2.25/2.43 tff(786,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.43 inference(transitivity,[status(thm)],[785, 783])).
% 2.25/2.43 tff(787,plain,
% 2.25/2.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(788,plain,
% 2.25/2.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[787, 786])).
% 2.25/2.43 tff(789,plain,
% 2.25/2.43 ($false),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[788, 213, 782, 3, 468, 203])).
% 2.25/2.43 tff(790,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.43 tff(791,plain,
% 2.25/2.43 (~b(s(z), s(s(s(s(z)))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[790, 774, 468, 203])).
% 2.25/2.43 tff(792,plain,
% 2.25/2.43 (((~![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))))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(793,plain,
% 2.25/2.43 ((~![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))))))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(794,plain,
% 2.25/2.43 ((~![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)))))),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[793, 792])).
% 2.25/2.43 tff(795,plain,
% 2.25/2.43 ((s(z) = s(s(s(s(z))))) | b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z)))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[794, 110])).
% 2.25/2.43 tff(796,plain,
% 2.25/2.43 (b(s(z), s(s(s(s(z))))) | r(s(z), s(s(s(s(z)))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[795, 99])).
% 2.25/2.43 tff(797,plain,
% 2.25/2.43 (r(s(z), s(s(s(s(z)))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[796, 791])).
% 2.25/2.43 tff(798,plain,
% 2.25/2.43 (~r(s(s(s(s(z)))), s(z))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[358, 797, 10, 781])).
% 2.25/2.43 tff(799,plain,
% 2.25/2.43 (b(s(s(s(s(z)))), s(z))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[115, 798])).
% 2.25/2.43 tff(800,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(801,plain,
% 2.25/2.43 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(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(s(z)))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(802,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[801])).
% 2.25/2.43 tff(803,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.25/2.43 inference(transitivity,[status(thm)],[802, 800])).
% 2.25/2.43 tff(804,plain,
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% 2.25/2.43 inference(modus_ponens,[status(thm)],[804, 803])).
% 2.25/2.43 tff(806,plain,
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% 2.25/2.43 tff(809,assumption,(~b(z, s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.25/2.43 tff(810,assumption,(z = s(s(s(s(s(s(s(s(s(z)))))))))), introduced(assumption)).
% 2.25/2.43 tff(811,plain,
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% 2.25/2.43 inference(symmetry,[status(thm)],[810])).
% 2.25/2.43 tff(812,plain,
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% 2.25/2.43 inference(unit_resolution,[status(thm)],[622, 811])).
% 2.25/2.43 tff(813,plain,(~(z = s(s(s(s(s(s(s(s(s(z))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.43 tff(814,assumption,(~r(z, s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
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% 2.25/2.43 tff(820,plain,
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% 2.25/2.43 tff(822,plain,
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% 2.25/2.43 tff(823,plain,
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% 2.25/2.43 inference(monotonicity,[status(thm)],[822])).
% 2.25/2.43 tff(824,plain,
% 2.25/2.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(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(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.43 inference(transitivity,[status(thm)],[823, 821])).
% 2.25/2.43 tff(825,plain,
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% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(826,plain,
% 2.25/2.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[825, 824])).
% 2.25/2.43 tff(827,plain,
% 2.25/2.43 ($false),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[826, 76, 10, 738, 598, 689, 282])).
% 2.25/2.43 tff(828,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.43 tff(829,plain,
% 2.25/2.43 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[828, 820, 10, 737, 727])).
% 2.25/2.43 tff(830,plain,
% 2.25/2.43 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[338, 829])).
% 2.25/2.43 tff(831,assumption,(b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.25/2.43 tff(832,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(833,plain,
% 2.25/2.43 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(834,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[833])).
% 2.25/2.43 tff(835,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.43 inference(transitivity,[status(thm)],[834, 832])).
% 2.25/2.43 tff(836,plain,
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% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(837,plain,
% 2.25/2.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[836, 835])).
% 2.25/2.43 tff(838,plain,
% 2.25/2.43 ($false),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[837, 213, 203, 464, 831, 717])).
% 2.25/2.43 tff(839,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.43 tff(840,plain,
% 2.25/2.43 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[839, 830, 716, 154])).
% 2.25/2.43 tff(841,plain,
% 2.25/2.43 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[436, 840])).
% 2.25/2.43 tff(842,plain,
% 2.25/2.43 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[590, 16, 10, 251, 117, 154])).
% 2.25/2.43 tff(843,plain,
% 2.25/2.43 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[596, 842])).
% 2.25/2.43 tff(844,plain,
% 2.25/2.43 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(845,plain,
% 2.25/2.43 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(846,plain,
% 2.25/2.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.25/2.43 inference(monotonicity,[status(thm)],[845])).
% 2.25/2.43 tff(847,plain,
% 2.25/2.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.25/2.44 inference(transitivity,[status(thm)],[846, 844])).
% 2.25/2.44 tff(848,plain,
% 2.25/2.44 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(849,plain,
% 2.25/2.44 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[848, 847])).
% 2.25/2.44 tff(850,plain,
% 2.25/2.44 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[849, 76, 843, 727, 841])).
% 2.25/2.44 tff(851,plain,
% 2.25/2.44 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(852,plain,
% 2.25/2.44 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(853,plain,
% 2.25/2.44 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[852, 851])).
% 2.25/2.44 tff(854,plain,
% 2.25/2.44 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[853, 110, 850])).
% 2.25/2.44 tff(855,plain,
% 2.25/2.44 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[854, 66])).
% 2.25/2.44 tff(856,assumption,(b(s(z), s(s(s(z))))), introduced(assumption)).
% 2.25/2.44 tff(857,plain,
% 2.25/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(858,plain,
% 2.25/2.44 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(859,plain,
% 2.25/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[858])).
% 2.25/2.44 tff(860,plain,
% 2.25/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.44 inference(transitivity,[status(thm)],[859, 857])).
% 2.25/2.44 tff(861,plain,
% 2.25/2.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(862,plain,
% 2.25/2.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[861, 860])).
% 2.25/2.44 tff(863,plain,
% 2.25/2.44 ($false),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[862, 213, 1, 3, 856, 7, 8])).
% 2.25/2.44 tff(864,plain,((~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.44 tff(865,plain,
% 2.25/2.44 (~b(s(z), s(s(s(z))))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[864, 8, 3, 7, 1])).
% 2.25/2.44 tff(866,plain,
% 2.25/2.44 (r(s(z), s(s(s(z))))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[564, 865])).
% 2.25/2.44 tff(867,assumption,(b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.25/2.44 tff(868,assumption,(b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))), introduced(assumption)).
% 2.25/2.44 tff(869,plain,
% 2.25/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(870,plain,
% 2.25/2.44 (((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(871,plain,
% 2.25/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[870])).
% 2.25/2.44 tff(872,plain,
% 2.25/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.44 inference(transitivity,[status(thm)],[871, 869])).
% 2.25/2.44 tff(873,plain,
% 2.25/2.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(874,plain,
% 2.25/2.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[873, 872])).
% 2.25/2.44 tff(875,plain,
% 2.25/2.44 ($false),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[874, 213, 868, 283, 8, 867])).
% 2.25/2.44 tff(876,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.44 tff(877,plain,
% 2.25/2.44 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[876, 8, 283, 867])).
% 2.25/2.44 tff(878,plain,
% 2.25/2.44 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[653, 877])).
% 2.25/2.44 tff(879,plain,
% 2.25/2.44 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[379, 1, 7, 3, 283])).
% 2.25/2.44 tff(880,plain,
% 2.25/2.44 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[610, 879])).
% 2.25/2.44 tff(881,plain,
% 2.25/2.44 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(882,plain,
% 2.25/2.44 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(883,plain,
% 2.25/2.44 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[882])).
% 2.25/2.44 tff(884,plain,
% 2.25/2.44 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.25/2.44 inference(transitivity,[status(thm)],[883, 881])).
% 2.25/2.44 tff(885,plain,
% 2.25/2.44 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(886,plain,
% 2.25/2.44 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[885, 884])).
% 2.25/2.44 tff(887,plain,
% 2.25/2.44 ($false),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[886, 76, 11, 880, 878, 866, 598])).
% 2.25/2.44 tff(888,plain,((~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.44 tff(889,plain,
% 2.25/2.44 (~b(s(s(s(z))), s(z))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[888, 843, 727, 3, 190, 453, 280, 855])).
% 2.25/2.44 tff(890,plain,
% 2.25/2.44 (r(s(s(s(z))), s(z))),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[535, 889])).
% 2.25/2.44 tff(891,plain,
% 2.25/2.44 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(892,plain,
% 2.25/2.44 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(893,plain,
% 2.25/2.44 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.25/2.44 inference(monotonicity,[status(thm)],[892])).
% 2.25/2.44 tff(894,plain,
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% 2.25/2.45 inference(transitivity,[status(thm)],[960, 958])).
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% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
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% 2.25/2.45 inference(modus_ponens,[status(thm)],[962, 961])).
% 2.25/2.45 tff(964,plain,
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% 2.25/2.45 inference(unit_resolution,[status(thm)],[963, 76, 5, 689, 382, 705])).
% 2.25/2.45 tff(965,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
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% 2.25/2.45 inference(unit_resolution,[status(thm)],[965, 957, 933, 931])).
% 2.25/2.45 tff(967,plain,
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% 2.25/2.45 inference(monotonicity,[status(thm)],[968])).
% 2.25/2.45 tff(970,plain,
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% 2.25/2.45 inference(transitivity,[status(thm)],[969, 438])).
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% 2.25/2.46 tff(973,plain,
% 2.25/2.46 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[972, 213, 919, 280, 967])).
% 2.25/2.46 tff(974,plain,
% 2.25/2.46 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[450, 973])).
% 2.25/2.46 tff(975,plain,
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% 2.25/2.46 tff(976,plain,
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% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(977,plain,
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% 2.25/2.46 tff(982,plain,
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% 2.25/2.46 tff(983,plain,
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% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(989,plain,
% 2.25/2.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.25/2.46 inference(monotonicity,[status(thm)],[988])).
% 2.25/2.46 tff(990,plain,
% 2.25/2.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.25/2.46 inference(transitivity,[status(thm)],[989, 987])).
% 2.25/2.46 tff(991,plain,
% 2.25/2.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(992,plain,
% 2.25/2.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[991, 990])).
% 2.25/2.46 tff(993,plain,
% 2.25/2.46 (~r(s(s(s(z))), z)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[992, 76, 2, 10, 12, 517])).
% 2.25/2.46 tff(994,plain,
% 2.25/2.46 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = z) | b(s(s(s(z))), z) | r(s(s(s(z))), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = z) | b(s(s(s(z))), z) | r(s(s(s(z))), z))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(995,plain,
% 2.25/2.46 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(z))) = z) | b(s(s(s(z))), z) | r(s(s(s(z))), z))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(996,plain,
% 2.25/2.46 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(z))) = z) | b(s(s(s(z))), z) | r(s(s(s(z))), z)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[995, 994])).
% 2.25/2.46 tff(997,plain,
% 2.25/2.46 (b(s(s(s(z))), z)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[996, 110, 97, 993])).
% 2.25/2.46 tff(998,plain,
% 2.25/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(999,plain,
% 2.25/2.46 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(1000,plain,
% 2.25/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.25/2.46 inference(monotonicity,[status(thm)],[999])).
% 2.25/2.46 tff(1001,plain,
% 2.25/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.46 inference(transitivity,[status(thm)],[1000, 998])).
% 2.25/2.46 tff(1002,plain,
% 2.25/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(1003,plain,
% 2.25/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 2.25/2.46 tff(1004,plain,
% 2.25/2.46 ($false),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[1003, 213, 1, 582, 565, 997])).
% 2.25/2.46 tff(1005,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.46 tff(1006,plain,
% 2.25/2.46 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[1005, 12, 117, 10, 2, 1, 251, 154])).
% 2.25/2.46 tff(1007,plain,
% 2.25/2.46 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[596, 1006])).
% 2.25/2.46 tff(1008,plain,
% 2.25/2.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(1009,plain,
% 2.25/2.46 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(1010,plain,
% 2.25/2.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))))),
% 2.25/2.46 inference(monotonicity,[status(thm)],[1009])).
% 2.25/2.46 tff(1011,plain,
% 2.25/2.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.25/2.46 inference(transitivity,[status(thm)],[1010, 1008])).
% 2.25/2.46 tff(1012,plain,
% 2.25/2.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(1013,plain,
% 2.25/2.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 2.25/2.46 tff(1014,plain,
% 2.25/2.46 (~r(s(s(s(z))), z)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[1013, 76, 2, 1007, 737, 12])).
% 2.25/2.46 tff(1015,plain,
% 2.25/2.46 (b(s(s(s(z))), z)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[996, 110, 97, 1014])).
% 2.25/2.46 tff(1016,assumption,(b(s(s(s(z))), z)), introduced(assumption)).
% 2.25/2.46 tff(1017,plain,
% 2.25/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(1018,plain,
% 2.25/2.46 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(1019,plain,
% 2.25/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.25/2.46 inference(monotonicity,[status(thm)],[1018])).
% 2.25/2.46 tff(1020,plain,
% 2.25/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.46 inference(transitivity,[status(thm)],[1019, 1017])).
% 2.25/2.46 tff(1021,plain,
% 2.25/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(1022,plain,
% 2.25/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 2.25/2.46 tff(1023,plain,
% 2.25/2.46 ($false),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[1022, 213, 284, 191, 3, 856, 7, 468, 1016])).
% 2.25/2.46 tff(1024,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.46 tff(1025,plain,
% 2.25/2.46 (~b(s(z), s(s(s(z))))),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[1024, 1015, 171, 3, 190, 251, 284])).
% 2.25/2.46 tff(1026,plain,
% 2.25/2.46 (r(s(z), s(s(s(z))))),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[564, 1025])).
% 2.25/2.46 tff(1027,assumption,(r(s(z), s(s(s(z))))), introduced(assumption)).
% 2.25/2.46 tff(1028,assumption,(r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))), introduced(assumption)).
% 2.25/2.46 tff(1029,plain,
% 2.25/2.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1030,plain,
% 2.25/2.47 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1031,plain,
% 2.25/2.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.25/2.47 inference(monotonicity,[status(thm)],[1030])).
% 2.25/2.47 tff(1032,plain,
% 2.25/2.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.25/2.47 inference(transitivity,[status(thm)],[1031, 1029])).
% 2.25/2.47 tff(1033,plain,
% 2.25/2.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)))),
% 2.25/2.47 inference(quant_inst,[status(thm)],[])).
% 2.25/2.47 tff(1034,plain,
% 2.25/2.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.25/2.47 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 2.25/2.47 tff(1035,plain,
% 2.25/2.47 ($false),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1034, 76, 2, 738, 1028, 1027, 9])).
% 2.25/2.47 tff(1036,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.47 tff(1037,plain,
% 2.25/2.47 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1036, 1026, 9, 2, 737])).
% 2.25/2.47 tff(1038,plain,
% 2.25/2.47 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = s(s(s(z)))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(z))))))) = s(s(s(z)))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1039,plain,
% 2.25/2.47 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(s(s(s(s(s(s(z))))))) = s(s(s(z)))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.25/2.47 inference(quant_inst,[status(thm)],[])).
% 2.25/2.47 tff(1040,plain,
% 2.25/2.47 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(s(s(s(s(s(s(z))))))) = s(s(s(z)))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.25/2.47 inference(modus_ponens,[status(thm)],[1039, 1038])).
% 2.25/2.47 tff(1041,plain,
% 2.25/2.47 ((s(s(s(s(s(s(s(z))))))) = s(s(s(z)))) | b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1040, 110])).
% 2.25/2.47 tff(1042,plain,
% 2.25/2.47 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))) | r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1041, 412])).
% 2.25/2.47 tff(1043,plain,
% 2.25/2.47 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1042, 1037])).
% 2.25/2.47 tff(1044,plain,
% 2.25/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1045,plain,
% 2.25/2.47 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1046,plain,
% 2.25/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.25/2.47 inference(monotonicity,[status(thm)],[1045])).
% 2.25/2.47 tff(1047,plain,
% 2.25/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.25/2.47 inference(transitivity,[status(thm)],[1046, 1044])).
% 2.25/2.47 tff(1048,plain,
% 2.25/2.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.25/2.47 inference(quant_inst,[status(thm)],[])).
% 2.25/2.47 tff(1049,plain,
% 2.25/2.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.25/2.47 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 2.25/2.47 tff(1050,plain,
% 2.25/2.47 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1049, 213, 1, 3, 190, 1015])).
% 2.25/2.47 tff(1051,plain,
% 2.25/2.47 (~b(z, s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1050, 1043])).
% 2.25/2.47 tff(1052,plain,
% 2.25/2.47 (r(z, s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[581, 1051])).
% 2.25/2.47 tff(1053,plain,
% 2.25/2.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1054,plain,
% 2.25/2.47 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1055,plain,
% 2.25/2.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(z), 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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))))),
% 2.25/2.47 inference(monotonicity,[status(thm)],[1054])).
% 2.25/2.47 tff(1056,plain,
% 2.25/2.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(z), 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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.25/2.47 inference(transitivity,[status(thm)],[1055, 1053])).
% 2.25/2.47 tff(1057,plain,
% 2.25/2.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)))),
% 2.25/2.47 inference(quant_inst,[status(thm)],[])).
% 2.25/2.47 tff(1058,plain,
% 2.25/2.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 2.25/2.47 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 2.25/2.47 tff(1059,plain,
% 2.25/2.47 ($false),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1058, 76, 2, 1007, 1052, 1026, 9])).
% 2.25/2.47 tff(1060,plain,((~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.47 tff(1061,plain,
% 2.25/2.47 (~r(s(s(s(z))), s(z))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1060, 986, 9, 2, 3, 909, 117, 10])).
% 2.25/2.47 tff(1062,plain,
% 2.25/2.47 (b(s(s(s(z))), s(z))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[535, 1061])).
% 2.25/2.47 tff(1063,plain,
% 2.25/2.47 (~b(s(z), s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[864, 1062, 3, 190, 986])).
% 2.25/2.47 tff(1064,plain,
% 2.25/2.47 (r(s(z), s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[564, 1063])).
% 2.25/2.47 tff(1065,assumption,(b(z, s(s(s(z))))), introduced(assumption)).
% 2.25/2.47 tff(1066,plain,
% 2.25/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1067,plain,
% 2.25/2.47 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1068,plain,
% 2.25/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.25/2.47 inference(monotonicity,[status(thm)],[1067])).
% 2.25/2.47 tff(1069,plain,
% 2.25/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.47 inference(transitivity,[status(thm)],[1068, 1066])).
% 2.25/2.47 tff(1070,plain,
% 2.25/2.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.47 inference(quant_inst,[status(thm)],[])).
% 2.25/2.47 tff(1071,plain,
% 2.25/2.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.25/2.47 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 2.25/2.47 tff(1072,plain,
% 2.25/2.47 ($false),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1071, 213, 284, 191, 3, 1065, 7, 468, 8])).
% 2.25/2.47 tff(1073,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.47 tff(1074,plain,
% 2.25/2.47 (~b(z, s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1073, 909, 171, 3, 190, 251, 1062])).
% 2.25/2.47 tff(1075,plain,
% 2.25/2.47 (r(z, s(s(s(z))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[581, 1074])).
% 2.25/2.47 tff(1076,plain,
% 2.25/2.47 ($false),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1058, 76, 2, 11, 691, 1027, 9])).
% 2.25/2.47 tff(1077,plain,((~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.47 tff(1078,plain,
% 2.25/2.47 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[1077, 1075, 2, 1064, 9])).
% 2.25/2.47 tff(1079,plain,
% 2.25/2.47 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.47 inference(unit_resolution,[status(thm)],[596, 1078])).
% 2.25/2.47 tff(1080,plain,
% 2.25/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1081,plain,
% 2.25/2.47 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.25/2.47 inference(rewrite,[status(thm)],[])).
% 2.25/2.47 tff(1082,plain,
% 2.25/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))))),
% 2.25/2.47 inference(monotonicity,[status(thm)],[1081])).
% 2.25/2.47 tff(1083,plain,
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% 2.25/2.48 tff(1118,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.48 tff(1119,plain,
% 2.25/2.48 (~r(s(z), s(s(s(s(z)))))),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[1118, 13, 10, 2, 9])).
% 2.25/2.48 tff(1120,plain,
% 2.25/2.48 (b(s(z), s(s(s(s(z)))))),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[796, 1119])).
% 2.25/2.48 tff(1121,plain,
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% 2.25/2.48 inference(unit_resolution,[status(thm)],[953, 76, 2, 350, 15, 14])).
% 2.25/2.48 tff(1122,plain,((~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.48 tff(1123,plain,
% 2.25/2.48 (~r(z, s(z))),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[1122, 14, 15, 2])).
% 2.25/2.48 tff(1124,plain,
% 2.25/2.48 (b(z, s(z))),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[370, 1123])).
% 2.25/2.48 tff(1125,plain,
% 2.25/2.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
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% 2.25/2.48 tff(1126,plain,
% 2.25/2.48 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.48 inference(rewrite,[status(thm)],[])).
% 2.25/2.48 tff(1127,plain,
% 2.25/2.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 2.25/2.48 inference(monotonicity,[status(thm)],[1126])).
% 2.25/2.48 tff(1128,plain,
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% 2.25/2.48 inference(transitivity,[status(thm)],[1127, 1125])).
% 2.25/2.48 tff(1129,plain,
% 2.25/2.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 2.25/2.48 inference(quant_inst,[status(thm)],[])).
% 2.25/2.48 tff(1130,plain,
% 2.25/2.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 2.25/2.48 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 2.25/2.48 tff(1131,plain,
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% 2.25/2.48 inference(unit_resolution,[status(thm)],[1130, 76, 10, 155, 5, 14])).
% 2.25/2.48 tff(1132,plain,((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.48 tff(1133,plain,
% 2.25/2.48 (~r(s(s(s(s(z)))), z)),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[1132, 5, 10, 14])).
% 2.25/2.48 tff(1134,plain,
% 2.25/2.48 (b(s(s(s(s(z)))), z)),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[170, 1133])).
% 2.25/2.48 tff(1135,plain,
% 2.25/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), 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(X1, 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)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.25/2.48 inference(rewrite,[status(thm)],[])).
% 2.25/2.48 tff(1136,plain,
% 2.25/2.48 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.25/2.48 inference(rewrite,[status(thm)],[])).
% 2.25/2.48 tff(1137,plain,
% 2.25/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.25/2.48 inference(monotonicity,[status(thm)],[1136])).
% 2.25/2.48 tff(1138,plain,
% 2.25/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.25/2.48 inference(transitivity,[status(thm)],[1137, 1135])).
% 2.25/2.48 tff(1139,plain,
% 2.25/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 2.25/2.48 inference(quant_inst,[status(thm)],[])).
% 2.25/2.48 tff(1140,plain,
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% 2.25/2.48 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 2.25/2.48 tff(1141,plain,
% 2.25/2.48 ($false),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[1140, 213, 1, 782, 284, 191])).
% 2.25/2.48 tff(1142,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.48 tff(1143,plain,
% 2.25/2.48 (~b(s(s(s(s(z)))), s(z))),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[1142, 1134, 782, 1])).
% 2.25/2.48 tff(1144,plain,
% 2.25/2.48 (r(s(s(s(s(z)))), s(z))),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[115, 1143])).
% 2.25/2.48 tff(1145,plain,
% 2.25/2.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.48 inference(rewrite,[status(thm)],[])).
% 2.25/2.48 tff(1146,plain,
% 2.25/2.48 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.48 inference(rewrite,[status(thm)],[])).
% 2.25/2.48 tff(1147,plain,
% 2.25/2.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 2.25/2.48 inference(monotonicity,[status(thm)],[1146])).
% 2.25/2.48 tff(1148,plain,
% 2.25/2.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.25/2.48 inference(transitivity,[status(thm)],[1147, 1145])).
% 2.25/2.48 tff(1149,plain,
% 2.25/2.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 2.25/2.48 inference(quant_inst,[status(thm)],[])).
% 2.25/2.48 tff(1150,plain,
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% 2.25/2.48 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 2.25/2.48 tff(1151,plain,
% 2.25/2.48 ($false),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[1150, 76, 10, 1144, 15, 5, 14])).
% 2.25/2.48 tff(1152,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.25/2.48 tff(1153,plain,
% 2.25/2.48 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[1152, 14, 15, 10, 1120, 1124])).
% 2.25/2.48 tff(1154,plain,
% 2.25/2.48 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.25/2.48 inference(unit_resolution,[status(thm)],[250, 1153])).
% 2.25/2.48 tff(1155,plain,
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% 2.25/2.49 tff(1210,plain,
% 2.25/2.49 (~b(s(s(s(s(z)))), s(z))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[1142, 1209, 1120, 1124])).
% 2.25/2.49 tff(1211,plain,
% 2.25/2.49 (r(s(s(s(s(z)))), s(z))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[115, 1210])).
% 2.25/2.49 tff(1212,plain,
% 2.25/2.49 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[84, 1211, 15, 9])).
% 2.25/2.49 tff(1213,plain,
% 2.25/2.49 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[153, 1212])).
% 2.25/2.49 tff(1214,plain,
% 2.25/2.49 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[476, 1213, 1199, 1154])).
% 2.25/2.49 tff(1215,plain,
% 2.25/2.49 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[338, 1214])).
% 2.25/2.49 tff(1216,plain,
% 2.25/2.49 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[345, 76, 10, 1215, 1191])).
% 2.25/2.49 tff(1217,plain,
% 2.25/2.49 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[819, 1216])).
% 2.25/2.49 tff(1218,plain,
% 2.25/2.49 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[476, 203, 467, 468])).
% 2.25/2.49 tff(1219,plain,
% 2.25/2.49 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.49 inference(unit_resolution,[status(thm)],[338, 1218])).
% 2.25/2.49 tff(1220,plain,
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% 2.25/2.50 inference(rewrite,[status(thm)],[])).
% 2.25/2.50 tff(1221,plain,
% 2.25/2.50 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.25/2.50 inference(rewrite,[status(thm)],[])).
% 2.25/2.50 tff(1222,plain,
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% 2.25/2.50 inference(monotonicity,[status(thm)],[1221])).
% 2.25/2.50 tff(1223,plain,
% 2.25/2.50 (((~![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(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.25/2.50 inference(transitivity,[status(thm)],[1222, 1220])).
% 2.25/2.50 tff(1224,plain,
% 2.25/2.50 ((~![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(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.25/2.50 inference(quant_inst,[status(thm)],[])).
% 2.25/2.50 tff(1225,plain,
% 2.25/2.50 ((~![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(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.25/2.50 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 2.25/2.50 tff(1226,plain,
% 2.25/2.50 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.25/2.50 inference(unit_resolution,[status(thm)],[1225, 76, 1219, 705, 517])).
% 2.25/2.50 tff(1227,plain,
% 2.25/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.50 inference(rewrite,[status(thm)],[])).
% 2.35/2.50 tff(1228,plain,
% 2.35/2.50 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.50 inference(rewrite,[status(thm)],[])).
% 2.35/2.50 tff(1229,plain,
% 2.35/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.50 inference(monotonicity,[status(thm)],[1228])).
% 2.35/2.50 tff(1230,plain,
% 2.35/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.50 inference(transitivity,[status(thm)],[1229, 1227])).
% 2.35/2.50 tff(1231,plain,
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% 2.35/2.50 inference(quant_inst,[status(thm)],[])).
% 2.35/2.50 tff(1232,plain,
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% 2.35/2.50 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 2.35/2.50 tff(1233,plain,
% 2.35/2.50 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[1232, 213, 506, 468, 203, 467])).
% 2.35/2.50 tff(1234,plain,
% 2.35/2.50 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[853, 110, 1233])).
% 2.35/2.50 tff(1235,plain,
% 2.35/2.50 ($false),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[1234, 1226, 66])).
% 2.35/2.50 tff(1236,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.50 tff(1237,plain,
% 2.35/2.50 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[1236, 1191, 1154, 1213, 1199])).
% 2.35/2.50 tff(1238,plain,
% 2.35/2.50 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[596, 1237])).
% 2.35/2.50 tff(1239,plain,
% 2.35/2.50 (~r(s(s(s(z))), s(z))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[682, 1238, 15, 9])).
% 2.35/2.50 tff(1240,plain,
% 2.35/2.50 (b(s(s(s(z))), s(z))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[535, 1239])).
% 2.35/2.50 tff(1241,plain,
% 2.35/2.50 (((~![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(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.50 inference(rewrite,[status(thm)],[])).
% 2.35/2.50 tff(1242,plain,
% 2.35/2.50 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.50 inference(rewrite,[status(thm)],[])).
% 2.35/2.50 tff(1243,plain,
% 2.35/2.50 (((~![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(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.50 inference(monotonicity,[status(thm)],[1242])).
% 2.35/2.50 tff(1244,plain,
% 2.35/2.50 (((~![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(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.50 inference(transitivity,[status(thm)],[1243, 1241])).
% 2.35/2.50 tff(1245,plain,
% 2.35/2.50 ((~![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(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))))),
% 2.35/2.50 inference(quant_inst,[status(thm)],[])).
% 2.35/2.50 tff(1246,plain,
% 2.35/2.50 ((~![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(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.35/2.50 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 2.35/2.50 tff(1247,plain,
% 2.35/2.50 (~r(s(z), s(s(s(z))))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[1246, 76, 2, 1238, 14, 9])).
% 2.35/2.50 tff(1248,plain,
% 2.35/2.50 (b(s(z), s(s(s(z))))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[564, 1247])).
% 2.35/2.50 tff(1249,plain,
% 2.35/2.50 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[1116, 76, 2, 10, 1191, 13])).
% 2.35/2.50 tff(1250,plain,
% 2.35/2.50 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[610, 1249])).
% 2.35/2.50 tff(1251,plain,
% 2.35/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.50 inference(rewrite,[status(thm)],[])).
% 2.35/2.50 tff(1252,plain,
% 2.35/2.50 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.50 inference(rewrite,[status(thm)],[])).
% 2.35/2.50 tff(1253,plain,
% 2.35/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.35/2.50 inference(monotonicity,[status(thm)],[1252])).
% 2.35/2.50 tff(1254,plain,
% 2.35/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.50 inference(transitivity,[status(thm)],[1253, 1251])).
% 2.35/2.50 tff(1255,plain,
% 2.35/2.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.50 inference(quant_inst,[status(thm)],[])).
% 2.35/2.50 tff(1256,plain,
% 2.35/2.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.35/2.50 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 2.35/2.50 tff(1257,plain,
% 2.35/2.50 ($false),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[1256, 213, 1124, 1250, 1248, 1240, 1217])).
% 2.35/2.50 tff(1258,plain,((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.50 tff(1259,plain,
% 2.35/2.50 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[1258, 15, 9, 2, 10, 13])).
% 2.35/2.50 tff(1260,plain,
% 2.35/2.50 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[189, 1259])).
% 2.35/2.50 tff(1261,plain,
% 2.35/2.50 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.50 inference(rewrite,[status(thm)],[])).
% 2.35/2.50 tff(1262,plain,
% 2.35/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.35/2.50 inference(monotonicity,[status(thm)],[1261])).
% 2.35/2.50 tff(1263,plain,
% 2.35/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.50 inference(transitivity,[status(thm)],[1262, 1155])).
% 2.35/2.50 tff(1264,plain,
% 2.35/2.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.50 inference(quant_inst,[status(thm)],[])).
% 2.35/2.50 tff(1265,plain,
% 2.35/2.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.35/2.50 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 2.35/2.50 tff(1266,plain,
% 2.35/2.50 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[1265, 213, 782, 284, 281])).
% 2.35/2.50 tff(1267,plain,
% 2.35/2.50 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.35/2.50 inference(unit_resolution,[status(thm)],[316, 1266])).
% 2.35/2.50 tff(1268,plain,
% 2.35/2.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.50 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1269,plain,
% 2.35/2.51 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1270,plain,
% 2.35/2.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.35/2.51 inference(monotonicity,[status(thm)],[1269])).
% 2.35/2.51 tff(1271,plain,
% 2.35/2.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.51 inference(transitivity,[status(thm)],[1270, 1268])).
% 2.35/2.51 tff(1272,plain,
% 2.35/2.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 2.35/2.51 inference(quant_inst,[status(thm)],[])).
% 2.35/2.51 tff(1273,plain,
% 2.35/2.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.35/2.51 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 2.35/2.51 tff(1274,plain,
% 2.35/2.51 ($false),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[1273, 76, 10, 6, 598, 705, 13])).
% 2.35/2.51 tff(1275,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.51 tff(1276,plain,
% 2.35/2.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[1275, 1267, 10, 13, 6])).
% 2.35/2.51 tff(1277,plain,
% 2.35/2.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[484, 1276])).
% 2.35/2.51 tff(1278,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1279,plain,
% 2.35/2.51 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1280,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.51 inference(monotonicity,[status(thm)],[1279])).
% 2.35/2.51 tff(1281,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.51 inference(transitivity,[status(thm)],[1280, 1278])).
% 2.35/2.51 tff(1282,plain,
% 2.35/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(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(s(s(s(z))))))))))))),
% 2.35/2.51 inference(quant_inst,[status(thm)],[])).
% 2.35/2.51 tff(1283,plain,
% 2.35/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.51 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 2.35/2.51 tff(1284,plain,
% 2.35/2.51 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[1283, 213, 782, 284, 281])).
% 2.35/2.51 tff(1285,plain,
% 2.35/2.51 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[338, 1284])).
% 2.35/2.51 tff(1286,plain,
% 2.35/2.51 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[965, 1267, 5, 1285])).
% 2.35/2.51 tff(1287,plain,
% 2.35/2.51 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[436, 1286])).
% 2.35/2.51 tff(1288,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1289,plain,
% 2.35/2.51 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1290,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.51 inference(monotonicity,[status(thm)],[1289])).
% 2.35/2.51 tff(1291,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.51 inference(transitivity,[status(thm)],[1290, 1288])).
% 2.35/2.51 tff(1292,plain,
% 2.35/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.35/2.51 inference(quant_inst,[status(thm)],[])).
% 2.35/2.51 tff(1293,plain,
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% 2.35/2.51 inference(modus_ponens,[status(thm)],[1292, 1291])).
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% 2.35/2.51 tff(1296,plain,
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% 2.35/2.51 tff(1297,plain,
% 2.35/2.51 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[819, 1296])).
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% 2.35/2.51 tff(1303,plain,
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% 2.35/2.51 inference(unit_resolution,[status(thm)],[370, 1302])).
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% 2.35/2.51 tff(1309,plain,
% 2.35/2.51 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
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% 2.35/2.51 tff(1310,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.35/2.51 inference(monotonicity,[status(thm)],[1309])).
% 2.35/2.51 tff(1311,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.51 inference(transitivity,[status(thm)],[1310, 1308])).
% 2.35/2.51 tff(1312,plain,
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% 2.35/2.51 inference(quant_inst,[status(thm)],[])).
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% 2.35/2.51 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 2.35/2.51 tff(1314,plain,
% 2.35/2.51 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 2.35/2.51 tff(1315,plain,
% 2.35/2.51 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[279, 1314])).
% 2.35/2.51 tff(1316,plain,
% 2.35/2.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1317,plain,
% 2.35/2.51 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
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% 2.35/2.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.51 inference(monotonicity,[status(thm)],[1317])).
% 2.35/2.51 tff(1319,plain,
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% 2.35/2.51 inference(transitivity,[status(thm)],[1318, 1316])).
% 2.35/2.51 tff(1320,plain,
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% 2.35/2.51 inference(quant_inst,[status(thm)],[])).
% 2.35/2.51 tff(1321,plain,
% 2.35/2.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.51 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 2.35/2.51 tff(1322,plain,
% 2.35/2.51 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[1321, 76, 15, 1301, 1315])).
% 2.35/2.51 tff(1323,plain,
% 2.35/2.51 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 2.35/2.51 tff(1324,plain,
% 2.35/2.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[1171, 1301])).
% 2.35/2.51 tff(1325,plain,
% 2.35/2.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[484, 1324])).
% 2.35/2.51 tff(1326,plain,
% 2.35/2.51 (~r(s(s(s(z))), s(z))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[682, 11, 15, 9])).
% 2.35/2.51 tff(1327,plain,
% 2.35/2.51 (b(s(s(s(z))), s(z))),
% 2.35/2.51 inference(unit_resolution,[status(thm)],[535, 1326])).
% 2.35/2.51 tff(1328,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1329,plain,
% 2.35/2.51 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.35/2.51 inference(rewrite,[status(thm)],[])).
% 2.35/2.51 tff(1330,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 2.35/2.51 inference(monotonicity,[status(thm)],[1329])).
% 2.35/2.51 tff(1331,plain,
% 2.35/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.35/2.51 inference(transitivity,[status(thm)],[1330, 1328])).
% 2.35/2.51 tff(1332,plain,
% 2.35/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.35/2.52 inference(quant_inst,[status(thm)],[])).
% 2.35/2.52 tff(1333,plain,
% 2.35/2.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 2.35/2.52 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 2.35/2.52 tff(1334,plain,
% 2.35/2.52 (~b(s(s(s(z))), z)),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1333, 213, 1, 782, 116, 1327])).
% 2.35/2.52 tff(1335,plain,
% 2.35/2.52 (r(s(s(s(z))), z)),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[996, 110, 97, 1334])).
% 2.35/2.52 tff(1336,plain,
% 2.35/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1337,plain,
% 2.35/2.52 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1338,plain,
% 2.35/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 2.35/2.52 inference(monotonicity,[status(thm)],[1337])).
% 2.35/2.52 tff(1339,plain,
% 2.35/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.52 inference(transitivity,[status(thm)],[1338, 1336])).
% 2.35/2.52 tff(1340,plain,
% 2.35/2.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.35/2.52 inference(quant_inst,[status(thm)],[])).
% 2.35/2.52 tff(1341,plain,
% 2.35/2.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 2.35/2.52 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 2.35/2.52 tff(1342,plain,
% 2.35/2.52 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1341, 213, 782, 116, 1327])).
% 2.35/2.52 tff(1343,plain,
% 2.35/2.52 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[516, 110, 1342, 505])).
% 2.35/2.52 tff(1344,plain,
% 2.35/2.52 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1345,plain,
% 2.35/2.52 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1346,plain,
% 2.35/2.52 (((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.35/2.52 inference(monotonicity,[status(thm)],[1345])).
% 2.35/2.52 tff(1347,plain,
% 2.35/2.52 (((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.35/2.52 inference(transitivity,[status(thm)],[1346, 1344])).
% 2.35/2.52 tff(1348,plain,
% 2.35/2.52 ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))),
% 2.35/2.52 inference(quant_inst,[status(thm)],[])).
% 2.35/2.52 tff(1349,plain,
% 2.35/2.52 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.35/2.52 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 2.35/2.52 tff(1350,plain,
% 2.35/2.52 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1349, 76, 10, 11, 6])).
% 2.35/2.52 tff(1351,plain,
% 2.35/2.52 ($false),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1350, 1343, 1335])).
% 2.35/2.52 tff(1352,plain,((~r(s(s(s(z))), s(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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.52 tff(1353,plain,
% 2.35/2.52 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1352, 6, 10, 1120, 1303, 15, 9])).
% 2.35/2.52 tff(1354,plain,
% 2.35/2.52 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[596, 1353])).
% 2.35/2.52 tff(1355,plain,
% 2.35/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1356,plain,
% 2.35/2.52 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1357,plain,
% 2.35/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.52 inference(monotonicity,[status(thm)],[1356])).
% 2.35/2.52 tff(1358,plain,
% 2.35/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(transitivity,[status(thm)],[1357, 1355])).
% 2.35/2.52 tff(1359,plain,
% 2.35/2.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(quant_inst,[status(thm)],[])).
% 2.35/2.52 tff(1360,plain,
% 2.35/2.52 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.52 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 2.35/2.52 tff(1361,plain,
% 2.35/2.52 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1360, 213, 1354, 1325, 1323])).
% 2.35/2.52 tff(1362,plain,
% 2.35/2.52 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[853, 110, 1361])).
% 2.35/2.52 tff(1363,plain,
% 2.35/2.52 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1362, 66])).
% 2.35/2.52 tff(1364,plain,
% 2.35/2.52 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1365,plain,
% 2.35/2.52 (((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1366,plain,
% 2.35/2.52 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.52 inference(monotonicity,[status(thm)],[1365])).
% 2.35/2.52 tff(1367,plain,
% 2.35/2.52 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(transitivity,[status(thm)],[1366, 1364])).
% 2.35/2.52 tff(1368,plain,
% 2.35/2.52 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(quant_inst,[status(thm)],[])).
% 2.35/2.52 tff(1369,plain,
% 2.35/2.52 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.52 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 2.35/2.52 tff(1370,plain,
% 2.35/2.52 (~r(s(s(s(z))), s(z))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1369, 76, 1301, 1315, 1363])).
% 2.35/2.52 tff(1371,plain,
% 2.35/2.52 (b(s(s(s(z))), s(z))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[535, 1370])).
% 2.35/2.52 tff(1372,plain,
% 2.35/2.52 (((~![X0: $i, 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(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1373,plain,
% 2.35/2.52 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.52 tff(1374,plain,
% 2.35/2.52 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.52 inference(monotonicity,[status(thm)],[1373])).
% 2.35/2.52 tff(1375,plain,
% 2.35/2.52 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(transitivity,[status(thm)],[1374, 1372])).
% 2.35/2.52 tff(1376,plain,
% 2.35/2.52 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))),
% 2.35/2.52 inference(quant_inst,[status(thm)],[])).
% 2.35/2.52 tff(1377,plain,
% 2.35/2.52 ((~![X0: $i, 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(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.52 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 2.35/2.52 tff(1378,plain,
% 2.35/2.52 (~r(s(z), s(s(s(z))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[1377, 76, 2, 1315, 1363, 13])).
% 2.35/2.52 tff(1379,plain,
% 2.35/2.52 (b(s(z), s(s(s(z))))),
% 2.35/2.52 inference(unit_resolution,[status(thm)],[564, 1378])).
% 2.35/2.52 tff(1380,plain,
% 2.35/2.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.52 inference(rewrite,[status(thm)],[])).
% 2.35/2.53 tff(1381,plain,
% 2.35/2.53 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.53 inference(rewrite,[status(thm)],[])).
% 2.35/2.53 tff(1382,plain,
% 2.35/2.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.53 inference(monotonicity,[status(thm)],[1381])).
% 2.35/2.53 tff(1383,plain,
% 2.35/2.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.53 inference(transitivity,[status(thm)],[1382, 1380])).
% 2.35/2.53 tff(1384,plain,
% 2.35/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.35/2.53 inference(quant_inst,[status(thm)],[])).
% 2.35/2.53 tff(1385,plain,
% 2.35/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.53 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 2.35/2.53 tff(1386,plain,
% 2.35/2.53 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[1385, 213, 1354, 1325, 1323])).
% 2.35/2.53 tff(1387,plain,
% 2.35/2.53 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[653, 1386])).
% 2.35/2.53 tff(1388,plain,
% 2.35/2.53 (((~![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), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.35/2.53 inference(rewrite,[status(thm)],[])).
% 2.35/2.53 tff(1389,plain,
% 2.35/2.53 (((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.35/2.53 inference(rewrite,[status(thm)],[])).
% 2.35/2.53 tff(1390,plain,
% 2.35/2.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(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(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.35/2.53 inference(monotonicity,[status(thm)],[1389])).
% 2.35/2.53 tff(1391,plain,
% 2.35/2.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(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(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.35/2.53 inference(transitivity,[status(thm)],[1390, 1388])).
% 2.35/2.53 tff(1392,plain,
% 2.35/2.53 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.35/2.53 inference(quant_inst,[status(thm)],[])).
% 2.35/2.53 tff(1393,plain,
% 2.35/2.53 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.35/2.53 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 2.35/2.53 tff(1394,plain,
% 2.35/2.53 ($false),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[1393, 76, 2, 706, 691, 690, 13])).
% 2.35/2.53 tff(1395,plain,((~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.53 tff(1396,plain,
% 2.35/2.53 (~r(z, s(s(s(z))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[1395, 1387, 2, 13, 1301])).
% 2.35/2.53 tff(1397,plain,
% 2.35/2.53 (b(z, s(s(s(z))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[581, 1396])).
% 2.35/2.53 tff(1398,plain,
% 2.35/2.53 ($false),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[588, 213, 1303, 1397, 1379, 1371])).
% 2.35/2.53 tff(1399,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.53 tff(1400,plain,
% 2.35/2.53 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[1399, 5, 13, 10, 15, 9, 2])).
% 2.35/2.53 tff(1401,plain,
% 2.35/2.53 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[153, 1400])).
% 2.35/2.53 tff(1402,plain,
% 2.35/2.53 (((~![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(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.53 inference(rewrite,[status(thm)],[])).
% 2.35/2.53 tff(1403,plain,
% 2.35/2.53 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.53 inference(rewrite,[status(thm)],[])).
% 2.35/2.53 tff(1404,plain,
% 2.35/2.53 (((~![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(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.53 inference(monotonicity,[status(thm)],[1403])).
% 2.35/2.53 tff(1405,plain,
% 2.35/2.53 (((~![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(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.53 inference(transitivity,[status(thm)],[1404, 1402])).
% 2.35/2.53 tff(1406,plain,
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% 2.35/2.53 tff(1407,plain,
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% 2.35/2.53 tff(1408,plain,
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% 2.35/2.53 tff(1409,plain,
% 2.35/2.53 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[1408, 350])).
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% 2.35/2.53 inference(unit_resolution,[status(thm)],[233, 1409])).
% 2.35/2.53 tff(1411,plain,
% 2.35/2.53 (~b(s(s(s(s(z)))), z)),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[221, 1410, 7, 203])).
% 2.35/2.53 tff(1412,plain,
% 2.35/2.53 (r(s(s(s(s(z)))), z)),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[170, 1411])).
% 2.35/2.53 tff(1413,plain,
% 2.35/2.53 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), 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)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
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% 2.35/2.53 tff(1414,plain,
% 2.35/2.53 (((~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)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
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% 2.35/2.53 tff(1415,plain,
% 2.35/2.53 (((~![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), 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)))), s(z))) | (~r(s(s(s(s(z)))), z))))),
% 2.35/2.53 inference(monotonicity,[status(thm)],[1414])).
% 2.35/2.53 tff(1416,plain,
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% 2.35/2.53 inference(transitivity,[status(thm)],[1415, 1413])).
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% 2.35/2.53 tff(1419,plain,
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% 2.35/2.53 tff(1421,plain,
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% 2.35/2.53 tff(1422,plain,
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% 2.35/2.53 tff(1426,plain,
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% 2.35/2.53 inference(monotonicity,[status(thm)],[1436])).
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% 2.35/2.53 inference(transitivity,[status(thm)],[1437, 1435])).
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% 2.35/2.53 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 2.35/2.53 tff(1441,plain,
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% 2.35/2.53 inference(unit_resolution,[status(thm)],[1440, 76, 16, 155, 252, 689, 13])).
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% 2.35/2.53 tff(1443,plain,
% 2.35/2.53 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[1442, 1434, 155, 16, 13])).
% 2.35/2.53 tff(1444,plain,
% 2.35/2.53 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[279, 1443])).
% 2.35/2.53 tff(1445,plain,
% 2.35/2.53 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
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% 2.35/2.53 tff(1446,plain,
% 2.35/2.53 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.53 inference(unit_resolution,[status(thm)],[819, 1445])).
% 2.35/2.53 tff(1447,plain,
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% 2.35/2.53 inference(rewrite,[status(thm)],[])).
% 2.35/2.53 tff(1448,plain,
% 2.35/2.53 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1449,plain,
% 2.35/2.54 (((~![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(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.54 inference(monotonicity,[status(thm)],[1448])).
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% 2.35/2.54 (((~![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(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(transitivity,[status(thm)],[1449, 1447])).
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% 2.35/2.54 inference(quant_inst,[status(thm)],[])).
% 2.35/2.54 tff(1452,plain,
% 2.35/2.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.54 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 2.35/2.54 tff(1453,plain,
% 2.35/2.54 ($false),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[1452, 76, 155, 1434, 1446, 13])).
% 2.35/2.54 tff(1454,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.54 tff(1455,plain,
% 2.35/2.54 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[1454, 155, 13, 1, 16, 1120, 1424])).
% 2.35/2.54 tff(1456,plain,
% 2.35/2.54 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[610, 1455])).
% 2.35/2.54 tff(1457,plain,
% 2.35/2.54 (((~![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(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1458,plain,
% 2.35/2.54 (((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(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(s(s(s(z)))))))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1459,plain,
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% 2.35/2.54 inference(monotonicity,[status(thm)],[1458])).
% 2.35/2.54 tff(1460,plain,
% 2.35/2.54 (((~![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(z)))), z)) | (~r(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, 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)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.35/2.54 inference(transitivity,[status(thm)],[1459, 1457])).
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% 2.35/2.54 inference(quant_inst,[status(thm)],[])).
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% 2.35/2.54 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 2.35/2.54 tff(1463,plain,
% 2.35/2.54 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[1462, 76, 2, 16, 155, 1456])).
% 2.35/2.54 tff(1464,plain,
% 2.35/2.54 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[338, 1463])).
% 2.35/2.54 tff(1465,plain,
% 2.35/2.54 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[839, 1464, 203, 1424])).
% 2.35/2.54 tff(1466,plain,
% 2.35/2.54 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[436, 1465])).
% 2.35/2.54 tff(1467,plain,
% 2.35/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1468,plain,
% 2.35/2.54 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1469,plain,
% 2.35/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.54 inference(monotonicity,[status(thm)],[1468])).
% 2.35/2.54 tff(1470,plain,
% 2.35/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(transitivity,[status(thm)],[1469, 1467])).
% 2.35/2.54 tff(1471,plain,
% 2.35/2.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(quant_inst,[status(thm)],[])).
% 2.35/2.54 tff(1472,plain,
% 2.35/2.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.54 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 2.35/2.54 tff(1473,plain,
% 2.35/2.54 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[1472, 213, 1120, 1464, 1424])).
% 2.35/2.54 tff(1474,plain,
% 2.35/2.54 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[279, 1473])).
% 2.35/2.54 tff(1475,plain,
% 2.35/2.54 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1476,plain,
% 2.35/2.54 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1477,plain,
% 2.35/2.54 (((~![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(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.54 inference(monotonicity,[status(thm)],[1476])).
% 2.35/2.54 tff(1478,plain,
% 2.35/2.54 (((~![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(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.54 inference(transitivity,[status(thm)],[1477, 1475])).
% 2.35/2.54 tff(1479,plain,
% 2.35/2.54 ((~![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(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.54 inference(quant_inst,[status(thm)],[])).
% 2.35/2.54 tff(1480,plain,
% 2.35/2.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.54 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 2.35/2.54 tff(1481,plain,
% 2.35/2.54 ($false),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[1480, 76, 2, 1474, 1466, 9, 13])).
% 2.35/2.54 tff(1482,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.54 tff(1483,plain,
% 2.35/2.54 (~r(s(s(s(s(z)))), z)),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[1482, 16, 9, 13, 1401, 2, 1422, 10])).
% 2.35/2.54 tff(1484,plain,
% 2.35/2.54 (b(s(s(s(s(z)))), z)),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[170, 1483])).
% 2.35/2.54 tff(1485,plain,
% 2.35/2.54 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[221, 1484, 1260, 1401])).
% 2.35/2.54 tff(1486,plain,
% 2.35/2.54 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[233, 1485])).
% 2.35/2.54 tff(1487,plain,
% 2.35/2.54 (((~![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(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1488,plain,
% 2.35/2.54 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1489,plain,
% 2.35/2.54 (((~![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(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))))),
% 2.35/2.54 inference(monotonicity,[status(thm)],[1488])).
% 2.35/2.54 tff(1490,plain,
% 2.35/2.54 (((~![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(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.35/2.54 inference(transitivity,[status(thm)],[1489, 1487])).
% 2.35/2.54 tff(1491,plain,
% 2.35/2.54 ((~![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(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.35/2.54 inference(quant_inst,[status(thm)],[])).
% 2.35/2.54 tff(1492,plain,
% 2.35/2.54 ((~![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(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 2.35/2.54 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 2.35/2.54 tff(1493,plain,
% 2.35/2.54 (~r(z, s(s(s(z))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[1492, 76, 10, 11, 738, 5])).
% 2.35/2.54 tff(1494,plain,
% 2.35/2.54 (b(z, s(s(s(z))))),
% 2.35/2.54 inference(unit_resolution,[status(thm)],[581, 1493])).
% 2.35/2.54 tff(1495,plain,
% 2.35/2.54 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1496,plain,
% 2.35/2.54 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.54 inference(rewrite,[status(thm)],[])).
% 2.35/2.54 tff(1497,plain,
% 2.35/2.54 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.35/2.54 inference(monotonicity,[status(thm)],[1496])).
% 2.35/2.54 tff(1498,plain,
% 2.35/2.54 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.54 inference(transitivity,[status(thm)],[1497, 1495])).
% 2.35/2.54 tff(1499,plain,
% 2.35/2.55 ((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.55 inference(quant_inst,[status(thm)],[])).
% 2.35/2.55 tff(1500,plain,
% 2.35/2.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.35/2.55 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 2.35/2.55 tff(1501,plain,
% 2.35/2.55 (~r(s(z), s(s(s(z))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1500, 76, 11, 1028, 9])).
% 2.35/2.55 tff(1502,plain,
% 2.35/2.55 (b(s(z), s(s(s(z))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[564, 1501])).
% 2.35/2.55 tff(1503,plain,
% 2.35/2.55 ($false),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[588, 213, 1, 1065, 1502, 641])).
% 2.35/2.55 tff(1504,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.55 tff(1505,plain,
% 2.35/2.55 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1504, 1494, 9, 15, 1, 11])).
% 2.35/2.55 tff(1506,plain,
% 2.35/2.55 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1042, 1505])).
% 2.35/2.55 tff(1507,assumption,(b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))), introduced(assumption)).
% 2.35/2.55 tff(1508,plain,
% 2.35/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1509,plain,
% 2.35/2.55 (((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1510,plain,
% 2.35/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.35/2.55 inference(monotonicity,[status(thm)],[1509])).
% 2.35/2.55 tff(1511,plain,
% 2.35/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.35/2.55 inference(transitivity,[status(thm)],[1510, 1508])).
% 2.35/2.55 tff(1512,plain,
% 2.35/2.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.35/2.55 inference(quant_inst,[status(thm)],[])).
% 2.35/2.55 tff(1513,plain,
% 2.35/2.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.35/2.55 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 2.35/2.55 tff(1514,plain,
% 2.35/2.55 ($false),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1513, 213, 1507, 1065, 7, 1016])).
% 2.35/2.55 tff(1515,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.55 tff(1516,plain,
% 2.35/2.55 (~b(s(s(s(z))), z)),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1515, 1506, 1494, 7])).
% 2.35/2.55 tff(1517,plain,
% 2.35/2.55 (r(s(s(s(z))), z)),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[996, 110, 97, 1516])).
% 2.35/2.55 tff(1518,plain,
% 2.35/2.55 (((~![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), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1519,plain,
% 2.35/2.55 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1520,plain,
% 2.35/2.55 (((~![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(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z)))))))),
% 2.35/2.55 inference(monotonicity,[status(thm)],[1519])).
% 2.35/2.55 tff(1521,plain,
% 2.35/2.55 (((~![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(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))))),
% 2.35/2.55 inference(transitivity,[status(thm)],[1520, 1518])).
% 2.35/2.55 tff(1522,plain,
% 2.35/2.55 ((~![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(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))),
% 2.35/2.55 inference(quant_inst,[status(thm)],[])).
% 2.35/2.55 tff(1523,plain,
% 2.35/2.55 ((~![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), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z)))))),
% 2.35/2.55 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 2.35/2.55 tff(1524,plain,
% 2.35/2.55 (~r(s(z), s(s(s(z))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1523, 76, 2, 738, 9, 1517])).
% 2.35/2.55 tff(1525,plain,
% 2.35/2.55 (b(s(z), s(s(s(z))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[564, 1524])).
% 2.35/2.55 tff(1526,plain,
% 2.35/2.55 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1527,plain,
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% 2.35/2.55 inference(monotonicity,[status(thm)],[1526])).
% 2.35/2.55 tff(1528,plain,
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% 2.35/2.55 inference(transitivity,[status(thm)],[1527, 583])).
% 2.35/2.55 tff(1529,plain,
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% 2.35/2.55 inference(quant_inst,[status(thm)],[])).
% 2.35/2.55 tff(1530,plain,
% 2.35/2.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.35/2.55 inference(modus_ponens,[status(thm)],[1529, 1528])).
% 2.35/2.55 tff(1531,plain,
% 2.35/2.55 ($false),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1530, 213, 1, 1494, 1525, 1327])).
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% 2.35/2.55 tff(1533,plain,
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% 2.35/2.55 inference(unit_resolution,[status(thm)],[1532, 1422, 2, 1486, 9, 1260, 15, 10, 5])).
% 2.35/2.55 tff(1534,plain,
% 2.35/2.55 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[596, 1533])).
% 2.35/2.55 tff(1535,plain,
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% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1536,plain,
% 2.35/2.55 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
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% 2.35/2.55 tff(1537,plain,
% 2.35/2.55 (((~![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(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(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(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.35/2.55 inference(monotonicity,[status(thm)],[1536])).
% 2.35/2.55 tff(1538,plain,
% 2.35/2.55 (((~![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(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(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(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.55 inference(transitivity,[status(thm)],[1537, 1535])).
% 2.35/2.55 tff(1539,plain,
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% 2.35/2.55 tff(1540,plain,
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% 2.35/2.55 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 2.35/2.55 tff(1541,plain,
% 2.35/2.55 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1540, 76, 2, 16, 13])).
% 2.35/2.55 tff(1542,plain,
% 2.35/2.55 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1541, 706])).
% 2.35/2.55 tff(1543,plain,
% 2.35/2.55 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[316, 1542])).
% 2.35/2.55 tff(1544,plain,
% 2.35/2.55 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1171, 706])).
% 2.35/2.55 tff(1545,plain,
% 2.35/2.55 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[484, 1544])).
% 2.35/2.55 tff(1546,plain,
% 2.35/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1547,plain,
% 2.35/2.55 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1548,plain,
% 2.35/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.35/2.55 inference(monotonicity,[status(thm)],[1547])).
% 2.35/2.55 tff(1549,plain,
% 2.35/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.55 inference(transitivity,[status(thm)],[1548, 1546])).
% 2.35/2.55 tff(1550,plain,
% 2.35/2.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.55 inference(quant_inst,[status(thm)],[])).
% 2.35/2.55 tff(1551,plain,
% 2.35/2.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.35/2.55 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 2.35/2.55 tff(1552,plain,
% 2.35/2.55 ($false),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1551, 213, 506, 1507, 203, 467, 717])).
% 2.35/2.55 tff(1553,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.55 tff(1554,plain,
% 2.35/2.55 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1553, 1545, 203, 506, 1543])).
% 2.35/2.55 tff(1555,plain,
% 2.35/2.55 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1042, 1554])).
% 2.35/2.55 tff(1556,assumption,(r(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 2.35/2.55 tff(1557,plain,
% 2.35/2.55 (((~![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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1558,plain,
% 2.35/2.55 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.55 inference(rewrite,[status(thm)],[])).
% 2.35/2.55 tff(1559,plain,
% 2.35/2.55 (((~![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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.35/2.55 inference(monotonicity,[status(thm)],[1558])).
% 2.35/2.55 tff(1560,plain,
% 2.35/2.55 (((~![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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.55 inference(transitivity,[status(thm)],[1559, 1557])).
% 2.35/2.55 tff(1561,plain,
% 2.35/2.55 ((~![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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.55 inference(quant_inst,[status(thm)],[])).
% 2.35/2.55 tff(1562,plain,
% 2.35/2.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.35/2.55 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 2.35/2.55 tff(1563,plain,
% 2.35/2.55 ($false),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1562, 76, 16, 15, 5, 1028, 1556])).
% 2.35/2.55 tff(1564,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.55 tff(1565,plain,
% 2.35/2.55 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[1564, 1028, 15, 5, 16])).
% 2.35/2.55 tff(1566,plain,
% 2.35/2.55 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.35/2.55 inference(unit_resolution,[status(thm)],[516, 110, 505, 1565])).
% 2.35/2.55 tff(1567,plain,
% 2.35/2.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(rewrite,[status(thm)],[])).
% 2.35/2.56 tff(1568,plain,
% 2.35/2.56 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(rewrite,[status(thm)],[])).
% 2.35/2.56 tff(1569,plain,
% 2.35/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.56 inference(monotonicity,[status(thm)],[1568])).
% 2.35/2.56 tff(1570,plain,
% 2.35/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(transitivity,[status(thm)],[1569, 1567])).
% 2.35/2.56 tff(1571,plain,
% 2.35/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.35/2.56 inference(quant_inst,[status(thm)],[])).
% 2.35/2.56 tff(1572,plain,
% 2.35/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.56 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 2.35/2.56 tff(1573,plain,
% 2.35/2.56 ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[1572, 213, 506, 203, 717])).
% 2.35/2.56 tff(1574,plain,
% 2.35/2.56 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[1573, 1566, 464])).
% 2.35/2.56 tff(1575,plain,
% 2.35/2.56 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[853, 110, 1574])).
% 2.35/2.56 tff(1576,plain,
% 2.35/2.56 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[1575, 66])).
% 2.35/2.56 tff(1577,plain,
% 2.35/2.56 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[839, 464, 203, 717])).
% 2.35/2.56 tff(1578,plain,
% 2.35/2.56 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[436, 1577])).
% 2.35/2.56 tff(1579,plain,
% 2.35/2.56 (((~![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(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(rewrite,[status(thm)],[])).
% 2.35/2.56 tff(1580,plain,
% 2.35/2.56 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(rewrite,[status(thm)],[])).
% 2.35/2.56 tff(1581,plain,
% 2.35/2.56 (((~![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(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.56 inference(monotonicity,[status(thm)],[1580])).
% 2.35/2.56 tff(1582,plain,
% 2.35/2.56 (((~![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(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(transitivity,[status(thm)],[1581, 1579])).
% 2.35/2.56 tff(1583,plain,
% 2.35/2.56 ((~![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(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.56 inference(quant_inst,[status(thm)],[])).
% 2.35/2.56 tff(1584,plain,
% 2.35/2.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.56 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 2.35/2.56 tff(1585,plain,
% 2.35/2.56 ($false),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[1584, 76, 15, 706, 1028, 1578, 1576])).
% 2.35/2.56 tff(1586,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.56 tff(1587,plain,
% 2.35/2.56 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[1586, 1555, 706, 15, 506, 203, 1543, 5, 16])).
% 2.35/2.56 tff(1588,plain,
% 2.35/2.56 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[338, 1587])).
% 2.35/2.56 tff(1589,plain,
% 2.35/2.56 (((~![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(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(rewrite,[status(thm)],[])).
% 2.35/2.56 tff(1590,plain,
% 2.35/2.56 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(rewrite,[status(thm)],[])).
% 2.35/2.56 tff(1591,plain,
% 2.35/2.56 (((~![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(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.56 inference(monotonicity,[status(thm)],[1590])).
% 2.35/2.56 tff(1592,plain,
% 2.35/2.56 (((~![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(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.56 inference(transitivity,[status(thm)],[1591, 1589])).
% 2.35/2.56 tff(1593,plain,
% 2.35/2.56 ((~![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(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.35/2.56 inference(quant_inst,[status(thm)],[])).
% 2.35/2.56 tff(1594,plain,
% 2.35/2.56 ((~![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(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.56 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 2.35/2.56 tff(1595,plain,
% 2.35/2.56 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[1594, 76, 15, 5, 706, 1588])).
% 2.35/2.56 tff(1596,plain,
% 2.35/2.56 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.56 inference(unit_resolution,[status(thm)],[436, 1595])).
% 2.35/2.56 tff(1597,plain,
% 2.35/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.56 inference(rewrite,[status(thm)],[])).
% 2.35/2.56 tff(1598,plain,
% 2.35/2.56 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.35/2.56 inference(rewrite,[status(thm)],[])).
% 2.35/2.56 tff(1599,plain,
% 2.35/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.35/2.56 inference(monotonicity,[status(thm)],[1598])).
% 2.35/2.56 tff(1600,plain,
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% 2.35/2.56 tff(1607,plain,
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% 2.35/2.56 tff(1610,plain,
% 2.35/2.56 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
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% 2.35/2.57 inference(monotonicity,[status(thm)],[1610])).
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% 2.35/2.57 inference(transitivity,[status(thm)],[1611, 1609])).
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% 2.35/2.57 inference(quant_inst,[status(thm)],[])).
% 2.35/2.57 tff(1614,plain,
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% 2.35/2.57 inference(modus_ponens,[status(thm)],[1613, 1612])).
% 2.35/2.57 tff(1615,plain,
% 2.35/2.57 ($false),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1614, 76, 10, 738, 5, 598, 282])).
% 2.35/2.57 tff(1616,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.57 tff(1617,plain,
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% 2.35/2.57 tff(1618,plain,
% 2.35/2.57 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[484, 1617])).
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% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1621,plain,
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% 2.35/2.57 inference(monotonicity,[status(thm)],[1620])).
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% 2.35/2.57 inference(transitivity,[status(thm)],[1621, 1619])).
% 2.35/2.57 tff(1623,plain,
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% 2.35/2.57 inference(quant_inst,[status(thm)],[])).
% 2.35/2.57 tff(1624,plain,
% 2.35/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.35/2.57 inference(modus_ponens,[status(thm)],[1623, 1622])).
% 2.35/2.57 tff(1625,plain,
% 2.35/2.57 ($false),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1624, 213, 506, 1507, 868, 467])).
% 2.35/2.57 tff(1626,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.57 tff(1627,plain,
% 2.35/2.57 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1626, 1507, 506, 467])).
% 2.35/2.57 tff(1628,plain,
% 2.35/2.57 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[653, 1627])).
% 2.35/2.57 tff(1629,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1630,plain,
% 2.35/2.57 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1631,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.57 inference(monotonicity,[status(thm)],[1630])).
% 2.35/2.57 tff(1632,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.57 inference(transitivity,[status(thm)],[1631, 1629])).
% 2.35/2.57 tff(1633,plain,
% 2.35/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.57 inference(quant_inst,[status(thm)],[])).
% 2.35/2.57 tff(1634,plain,
% 2.35/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.57 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 2.35/2.57 tff(1635,plain,
% 2.35/2.57 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1634, 213, 506, 1507, 203, 467])).
% 2.35/2.57 tff(1636,plain,
% 2.35/2.57 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[338, 1635])).
% 2.35/2.57 tff(1637,plain,
% 2.35/2.57 (~r(z, s(s(s(z))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[699, 1636, 10, 1628, 282])).
% 2.35/2.57 tff(1638,plain,
% 2.35/2.57 (b(z, s(s(s(z))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[581, 1637])).
% 2.35/2.57 tff(1639,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1640,plain,
% 2.35/2.57 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1641,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))))),
% 2.35/2.57 inference(monotonicity,[status(thm)],[1640])).
% 2.35/2.57 tff(1642,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.35/2.57 inference(transitivity,[status(thm)],[1641, 1639])).
% 2.35/2.57 tff(1643,plain,
% 2.35/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.35/2.57 inference(quant_inst,[status(thm)],[])).
% 2.35/2.57 tff(1644,plain,
% 2.35/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))),
% 2.35/2.57 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 2.35/2.57 tff(1645,plain,
% 2.35/2.57 ($false),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1644, 213, 506, 1507, 1638, 7])).
% 2.35/2.57 tff(1646,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.57 tff(1647,plain,
% 2.35/2.57 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1646, 1534, 1260, 10, 1608, 1401, 1618])).
% 2.35/2.57 tff(1648,plain,
% 2.35/2.57 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1042, 1647])).
% 2.35/2.57 tff(1649,plain,
% 2.35/2.57 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1564, 1648, 15, 5, 16])).
% 2.35/2.57 tff(1650,plain,
% 2.35/2.57 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[744, 76, 2, 1486, 9, 13])).
% 2.35/2.57 tff(1651,plain,
% 2.35/2.57 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[279, 1650])).
% 2.35/2.57 tff(1652,plain,
% 2.35/2.57 (((~![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)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1653,plain,
% 2.35/2.57 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1654,plain,
% 2.35/2.57 (((~![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), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.35/2.57 inference(monotonicity,[status(thm)],[1653])).
% 2.35/2.57 tff(1655,plain,
% 2.35/2.57 (((~![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), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.35/2.57 inference(transitivity,[status(thm)],[1654, 1652])).
% 2.35/2.57 tff(1656,plain,
% 2.35/2.57 ((~![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), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.35/2.57 inference(quant_inst,[status(thm)],[])).
% 2.35/2.57 tff(1657,plain,
% 2.35/2.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.35/2.57 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 2.35/2.57 tff(1658,plain,
% 2.35/2.57 ($false),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1657, 76, 16, 15, 5, 1028, 1027])).
% 2.35/2.57 tff(1659,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.57 tff(1660,plain,
% 2.35/2.57 (~r(s(z), s(s(s(z))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[1659, 1648, 15, 5, 16])).
% 2.35/2.57 tff(1661,plain,
% 2.35/2.57 (b(s(z), s(s(s(z))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[564, 1660])).
% 2.35/2.57 tff(1662,assumption,(~r(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 2.35/2.57 tff(1663,plain,
% 2.35/2.57 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.35/2.57 inference(unit_resolution,[status(thm)],[516, 110, 505, 1662])).
% 2.35/2.57 tff(1664,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1665,plain,
% 2.35/2.57 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.35/2.57 inference(rewrite,[status(thm)],[])).
% 2.35/2.57 tff(1666,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 2.35/2.57 inference(monotonicity,[status(thm)],[1665])).
% 2.35/2.57 tff(1667,plain,
% 2.35/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.35/2.58 inference(transitivity,[status(thm)],[1666, 1664])).
% 2.35/2.58 tff(1668,plain,
% 2.35/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.35/2.58 inference(quant_inst,[status(thm)],[])).
% 2.35/2.58 tff(1669,plain,
% 2.35/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 2.35/2.58 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 2.35/2.58 tff(1670,plain,
% 2.35/2.58 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[1669, 213, 782, 281, 856, 283, 1663])).
% 2.35/2.58 tff(1671,plain,
% 2.35/2.58 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[853, 110, 1670])).
% 2.35/2.58 tff(1672,plain,
% 2.35/2.58 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[1671, 66])).
% 2.35/2.58 tff(1673,plain,
% 2.35/2.58 (((~![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(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.58 inference(rewrite,[status(thm)],[])).
% 2.35/2.58 tff(1674,plain,
% 2.35/2.58 (((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.58 inference(rewrite,[status(thm)],[])).
% 2.35/2.58 tff(1675,plain,
% 2.35/2.58 (((~![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(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.58 inference(monotonicity,[status(thm)],[1674])).
% 2.35/2.58 tff(1676,plain,
% 2.35/2.58 (((~![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(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.58 inference(transitivity,[status(thm)],[1675, 1673])).
% 2.35/2.58 tff(1677,plain,
% 2.35/2.58 ((~![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(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.35/2.58 inference(quant_inst,[status(thm)],[])).
% 2.35/2.58 tff(1678,plain,
% 2.35/2.58 ((~![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(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.58 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 2.35/2.58 tff(1679,plain,
% 2.35/2.58 (~r(s(s(s(z))), z)),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[1678, 76, 2, 12, 282, 1672])).
% 2.35/2.58 tff(1680,plain,
% 2.35/2.58 (b(s(s(s(z))), z)),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[996, 110, 97, 1679])).
% 2.35/2.58 tff(1681,plain,
% 2.35/2.58 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.58 inference(rewrite,[status(thm)],[])).
% 2.35/2.58 tff(1682,plain,
% 2.35/2.58 (((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.58 inference(rewrite,[status(thm)],[])).
% 2.35/2.58 tff(1683,plain,
% 2.35/2.58 (((~![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(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.58 inference(monotonicity,[status(thm)],[1682])).
% 2.35/2.58 tff(1684,plain,
% 2.35/2.58 (((~![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(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.58 inference(transitivity,[status(thm)],[1683, 1681])).
% 2.35/2.58 tff(1685,plain,
% 2.35/2.58 ((~![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(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.58 inference(quant_inst,[status(thm)],[])).
% 2.35/2.58 tff(1686,plain,
% 2.35/2.58 ((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.35/2.58 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 2.35/2.58 tff(1687,plain,
% 2.35/2.58 (~r(z, s(s(s(z))))),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[1686, 76, 738, 1028, 282, 1672])).
% 2.35/2.58 tff(1688,plain,
% 2.35/2.58 (b(z, s(s(s(z))))),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[581, 1687])).
% 2.35/2.58 tff(1689,plain,
% 2.35/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.35/2.58 inference(rewrite,[status(thm)],[])).
% 2.35/2.58 tff(1690,plain,
% 2.35/2.58 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.35/2.58 inference(rewrite,[status(thm)],[])).
% 2.35/2.58 tff(1691,plain,
% 2.35/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.35/2.58 inference(monotonicity,[status(thm)],[1690])).
% 2.35/2.58 tff(1692,plain,
% 2.35/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.35/2.58 inference(transitivity,[status(thm)],[1691, 1689])).
% 2.35/2.58 tff(1693,plain,
% 2.35/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.35/2.58 inference(quant_inst,[status(thm)],[])).
% 2.35/2.58 tff(1694,plain,
% 2.35/2.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.35/2.58 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 2.35/2.58 tff(1695,plain,
% 2.35/2.58 ($false),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[1694, 213, 191, 506, 1688, 203, 1680, 1663])).
% 2.35/2.58 tff(1696,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | r(s(s(s(z))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.58 tff(1697,plain,
% 2.35/2.58 (~r(s(s(s(z))), s(z))),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[1696, 1661, 1534, 1401, 1486, 1484, 1608, 2, 1120, 1606, 1648, 1651, 1649])).
% 2.35/2.58 tff(1698,plain,
% 2.35/2.58 (b(s(s(s(z))), s(z))),
% 2.35/2.58 inference(unit_resolution,[status(thm)],[535, 1697])).
% 2.35/2.58 tff(1699,plain,
% 2.35/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.58 inference(rewrite,[status(thm)],[])).
% 2.35/2.58 tff(1700,plain,
% 2.35/2.58 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.35/2.58 inference(rewrite,[status(thm)],[])).
% 2.35/2.58 tff(1701,plain,
% 2.35/2.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 2.35/2.58 inference(monotonicity,[status(thm)],[1700])).
% 2.35/2.58 tff(1702,plain,
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% 2.35/2.58 inference(unit_resolution,[status(thm)],[1705, 1698])).
% 2.35/2.58 tff(1707,plain,
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% 2.35/2.58 tff(1713,plain,
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% 2.35/2.58 inference(unit_resolution,[status(thm)],[115, 1713])).
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% 2.35/2.58 inference(unit_resolution,[status(thm)],[1207, 1412, 10, 13])).
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% 2.35/2.58 inference(unit_resolution,[status(thm)],[316, 1715])).
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% 2.35/2.58 tff(1719,plain,
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% 2.35/2.59 tff(1761,plain,
% 2.35/2.59 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(z)))))))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
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% 2.35/2.59 inference(monotonicity,[status(thm)],[1761])).
% 2.35/2.59 tff(1763,plain,
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% 2.35/2.59 inference(transitivity,[status(thm)],[1762, 1760])).
% 2.35/2.59 tff(1764,plain,
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% 2.35/2.59 inference(quant_inst,[status(thm)],[])).
% 2.35/2.59 tff(1765,plain,
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% 2.35/2.59 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 2.35/2.59 tff(1766,plain,
% 2.35/2.59 ($false),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1765, 76, 10, 6, 738, 705, 282])).
% 2.35/2.59 tff(1767,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.59 tff(1768,plain,
% 2.35/2.59 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1767, 6, 10, 1738, 1742])).
% 2.35/2.59 tff(1769,plain,
% 2.35/2.59 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[819, 1768])).
% 2.35/2.59 tff(1770,plain,
% 2.35/2.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[772, 1769, 9, 1742, 15, 2, 13])).
% 2.35/2.59 tff(1771,plain,
% 2.35/2.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[610, 1770])).
% 2.35/2.59 tff(1772,plain,
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% 2.35/2.59 inference(unit_resolution,[status(thm)],[917, 1771, 1759, 2, 13])).
% 2.35/2.59 tff(1773,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.59 tff(1774,plain,
% 2.35/2.59 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1773, 15, 13, 9, 2, 10])).
% 2.35/2.59 tff(1775,plain,
% 2.35/2.59 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[153, 1774])).
% 2.35/2.59 tff(1776,plain,
% 2.35/2.59 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[744, 76, 2, 1742, 9, 13])).
% 2.35/2.59 tff(1777,plain,
% 2.35/2.59 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[279, 1776])).
% 2.35/2.59 tff(1778,plain,
% 2.35/2.59 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[670, 11, 9, 283, 15, 1])).
% 2.35/2.59 tff(1779,plain,
% 2.35/2.59 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[484, 1778])).
% 2.35/2.59 tff(1780,plain,
% 2.35/2.59 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[476, 1779, 468, 203])).
% 2.35/2.59 tff(1781,plain,
% 2.35/2.59 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[338, 1780])).
% 2.35/2.59 tff(1782,plain,
% 2.35/2.59 (~b(z, s(s(s(z))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[660, 213, 1, 281, 283, 1327])).
% 2.35/2.59 tff(1783,plain,
% 2.35/2.59 (r(z, s(s(s(z))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[581, 1782])).
% 2.35/2.59 tff(1784,plain,
% 2.35/2.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[647, 213, 281, 283, 1327])).
% 2.35/2.59 tff(1785,plain,
% 2.35/2.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[653, 1784])).
% 2.35/2.59 tff(1786,plain,
% 2.35/2.59 ($false),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[699, 1785, 1783, 10, 1781, 282])).
% 2.35/2.59 tff(1787,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.59 tff(1788,plain,
% 2.35/2.59 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1787, 1757, 10, 1755, 1777, 1751, 1736, 1775, 9, 15])).
% 2.35/2.59 tff(1789,plain,
% 2.35/2.59 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[596, 1788])).
% 2.35/2.59 tff(1790,plain,
% 2.35/2.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1236, 1789, 1736, 1738, 1775])).
% 2.35/2.59 tff(1791,plain,
% 2.35/2.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[484, 1790])).
% 2.35/2.59 tff(1792,plain,
% 2.35/2.59 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[828, 1791, 10, 1742, 1757])).
% 2.35/2.59 tff(1793,plain,
% 2.35/2.59 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[338, 1792])).
% 2.35/2.59 tff(1794,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
% 2.35/2.59 tff(1795,plain,
% 2.35/2.59 (((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
% 2.35/2.59 tff(1796,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.35/2.59 inference(monotonicity,[status(thm)],[1795])).
% 2.35/2.59 tff(1797,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.59 inference(transitivity,[status(thm)],[1796, 1794])).
% 2.35/2.59 tff(1798,plain,
% 2.35/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.35/2.59 inference(quant_inst,[status(thm)],[])).
% 2.35/2.59 tff(1799,plain,
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% 2.35/2.59 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 2.35/2.59 tff(1800,plain,
% 2.35/2.59 ($false),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1799, 213, 1120, 1755, 1777, 1793])).
% 2.35/2.59 tff(1801,plain,((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.59 tff(1802,plain,
% 2.35/2.59 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1801, 13, 9, 2, 10])).
% 2.35/2.59 tff(1803,plain,
% 2.35/2.59 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[450, 1802])).
% 2.35/2.59 tff(1804,plain,
% 2.35/2.59 (~r(z, s(z))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[917, 706, 2, 13])).
% 2.35/2.59 tff(1805,plain,
% 2.35/2.59 (b(z, s(z))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[370, 1804])).
% 2.35/2.59 tff(1806,plain,
% 2.35/2.59 (~b(s(s(s(s(z)))), z)),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1142, 284, 782, 1])).
% 2.35/2.59 tff(1807,plain,
% 2.35/2.59 (r(s(s(s(s(z)))), z)),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[170, 1806])).
% 2.35/2.59 tff(1808,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
% 2.35/2.59 tff(1809,plain,
% 2.35/2.59 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
% 2.35/2.59 tff(1810,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 2.35/2.59 inference(monotonicity,[status(thm)],[1809])).
% 2.35/2.59 tff(1811,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.35/2.59 inference(transitivity,[status(thm)],[1810, 1808])).
% 2.35/2.59 tff(1812,plain,
% 2.35/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.35/2.59 inference(quant_inst,[status(thm)],[])).
% 2.35/2.59 tff(1813,plain,
% 2.35/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 2.35/2.59 inference(modus_ponens,[status(thm)],[1812, 1811])).
% 2.35/2.59 tff(1814,plain,
% 2.35/2.59 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1813, 213, 782, 284, 3])).
% 2.35/2.59 tff(1815,plain,
% 2.35/2.59 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[250, 1814])).
% 2.35/2.59 tff(1816,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
% 2.35/2.59 tff(1817,plain,
% 2.35/2.59 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
% 2.35/2.59 tff(1818,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.35/2.59 inference(monotonicity,[status(thm)],[1817])).
% 2.35/2.59 tff(1819,plain,
% 2.35/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.35/2.59 inference(transitivity,[status(thm)],[1818, 1816])).
% 2.35/2.59 tff(1820,plain,
% 2.35/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.35/2.59 inference(quant_inst,[status(thm)],[])).
% 2.35/2.59 tff(1821,plain,
% 2.35/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.35/2.59 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 2.35/2.59 tff(1822,plain,
% 2.35/2.59 (~b(s(s(s(s(s(s(s(z))))))), z)),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1821, 213, 1, 782, 284, 3])).
% 2.35/2.59 tff(1823,plain,
% 2.35/2.59 (r(s(s(s(s(s(s(s(z))))))), z)),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[189, 1822])).
% 2.35/2.59 tff(1824,plain,
% 2.35/2.59 ($false),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1132, 1823, 1815, 10, 1807])).
% 2.35/2.59 tff(1825,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.59 tff(1826,plain,
% 2.35/2.59 (~b(s(s(s(s(z)))), s(z))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1825, 1805, 10, 1120, 1803])).
% 2.35/2.59 tff(1827,plain,
% 2.35/2.59 (r(s(s(s(s(z)))), s(z))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[115, 1826])).
% 2.35/2.59 tff(1828,plain,
% 2.35/2.59 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[1540, 76, 2, 1827, 706, 13])).
% 2.35/2.59 tff(1829,plain,
% 2.35/2.59 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.35/2.59 inference(unit_resolution,[status(thm)],[316, 1828])).
% 2.35/2.59 tff(1830,plain,
% 2.35/2.59 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
% 2.35/2.59 tff(1831,plain,
% 2.35/2.59 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.35/2.59 inference(rewrite,[status(thm)],[])).
% 2.35/2.59 tff(1832,plain,
% 2.35/2.59 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.35/2.59 inference(monotonicity,[status(thm)],[1831])).
% 2.35/2.59 tff(1833,plain,
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% 2.35/2.60 inference(transitivity,[status(thm)],[1832, 1830])).
% 2.35/2.60 tff(1834,plain,
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% 2.35/2.60 inference(quant_inst,[status(thm)],[])).
% 2.35/2.60 tff(1835,plain,
% 2.35/2.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 2.35/2.60 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 2.35/2.60 tff(1836,plain,
% 2.35/2.60 ($false),
% 2.35/2.60 inference(unit_resolution,[status(thm)],[1835, 76, 16, 6, 706, 689, 9])).
% 2.35/2.60 tff(1837,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.60 tff(1838,plain,
% 2.35/2.60 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.60 inference(unit_resolution,[status(thm)],[1837, 1827, 6, 706, 9])).
% 2.35/2.60 tff(1839,plain,
% 2.35/2.60 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.60 inference(unit_resolution,[status(thm)],[338, 1838])).
% 2.35/2.60 tff(1840,plain,
% 2.35/2.60 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.60 inference(unit_resolution,[status(thm)],[1472, 213, 1120, 1839, 1829])).
% 2.35/2.60 tff(1841,plain,
% 2.35/2.60 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.60 inference(unit_resolution,[status(thm)],[279, 1840])).
% 2.35/2.60 tff(1842,plain,
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% 2.35/2.60 inference(unit_resolution,[status(thm)],[1480, 76, 2, 252, 382, 9, 13])).
% 2.35/2.60 tff(1843,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.35/2.60 tff(1844,plain,
% 2.35/2.60 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.60 inference(unit_resolution,[status(thm)],[1843, 1841, 2, 9, 13])).
% 2.35/2.60 tff(1845,plain,
% 2.35/2.60 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.35/2.60 inference(unit_resolution,[status(thm)],[436, 1844])).
% 2.35/2.60 tff(1846,plain,
% 2.35/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.60 inference(rewrite,[status(thm)],[])).
% 2.35/2.60 tff(1847,plain,
% 2.35/2.60 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.35/2.60 inference(rewrite,[status(thm)],[])).
% 2.35/2.60 tff(1848,plain,
% 2.45/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.45/2.60 inference(monotonicity,[status(thm)],[1847])).
% 2.45/2.60 tff(1849,plain,
% 2.45/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(transitivity,[status(thm)],[1848, 1846])).
% 2.45/2.60 tff(1850,plain,
% 2.45/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.45/2.60 inference(quant_inst,[status(thm)],[])).
% 2.45/2.60 tff(1851,plain,
% 2.45/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.60 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 2.45/2.60 tff(1852,plain,
% 2.45/2.60 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1851, 213, 1839, 1845, 1829])).
% 2.45/2.60 tff(1853,plain,
% 2.45/2.60 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[250, 1852])).
% 2.45/2.60 tff(1854,plain,
% 2.45/2.60 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(rewrite,[status(thm)],[])).
% 2.45/2.60 tff(1855,plain,
% 2.45/2.60 (((~r(s(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(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(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(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(rewrite,[status(thm)],[])).
% 2.45/2.60 tff(1856,plain,
% 2.45/2.60 (((~![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(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(s(z))))))))) | (~r(z, s(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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.60 inference(monotonicity,[status(thm)],[1855])).
% 2.45/2.60 tff(1857,plain,
% 2.45/2.60 (((~![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(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(s(z))))))))) | (~r(z, s(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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(transitivity,[status(thm)],[1856, 1854])).
% 2.45/2.60 tff(1858,plain,
% 2.45/2.60 ((~![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(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(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))))),
% 2.45/2.60 inference(quant_inst,[status(thm)],[])).
% 2.45/2.60 tff(1859,plain,
% 2.45/2.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.45/2.60 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 2.45/2.60 tff(1860,plain,
% 2.45/2.60 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1859, 76, 10, 6, 1853])).
% 2.45/2.60 tff(1861,plain,
% 2.45/2.60 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[233, 1860])).
% 2.45/2.60 tff(1862,plain,
% 2.45/2.60 (((~![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(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.60 inference(rewrite,[status(thm)],[])).
% 2.45/2.60 tff(1863,plain,
% 2.45/2.60 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.60 inference(rewrite,[status(thm)],[])).
% 2.45/2.60 tff(1864,plain,
% 2.45/2.60 (((~![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(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.45/2.60 inference(monotonicity,[status(thm)],[1863])).
% 2.45/2.60 tff(1865,plain,
% 2.45/2.60 (((~![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(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.60 inference(transitivity,[status(thm)],[1864, 1862])).
% 2.45/2.60 tff(1866,plain,
% 2.45/2.60 ((~![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(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(quant_inst,[status(thm)],[])).
% 2.45/2.60 tff(1867,plain,
% 2.45/2.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.45/2.60 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 2.45/2.60 tff(1868,plain,
% 2.45/2.60 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1867, 76, 11, 6, 5])).
% 2.45/2.60 tff(1869,assumption,(~b(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 2.45/2.60 tff(1870,plain,
% 2.45/2.60 ($false),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[516, 110, 1869, 505, 1662])).
% 2.45/2.60 tff(1871,plain,(r(s(s(s(z))), s(s(s(s(z))))) | b(s(s(s(z))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.60 tff(1872,plain,
% 2.45/2.60 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1871, 1868])).
% 2.45/2.60 tff(1873,plain,
% 2.45/2.60 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1837, 16, 6, 706, 9])).
% 2.45/2.60 tff(1874,plain,
% 2.45/2.60 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[338, 1873])).
% 2.45/2.60 tff(1875,plain,
% 2.45/2.60 ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[896, 76, 16, 11, 9])).
% 2.45/2.60 tff(1876,plain,
% 2.45/2.60 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1875, 12])).
% 2.45/2.60 tff(1877,plain,
% 2.45/2.60 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[516, 110, 505, 1876])).
% 2.45/2.60 tff(1878,plain,
% 2.45/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(rewrite,[status(thm)],[])).
% 2.45/2.60 tff(1879,plain,
% 2.45/2.60 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(rewrite,[status(thm)],[])).
% 2.45/2.60 tff(1880,plain,
% 2.45/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.45/2.60 inference(monotonicity,[status(thm)],[1879])).
% 2.45/2.60 tff(1881,plain,
% 2.45/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(transitivity,[status(thm)],[1880, 1878])).
% 2.45/2.60 tff(1882,plain,
% 2.45/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(quant_inst,[status(thm)],[])).
% 2.45/2.60 tff(1883,plain,
% 2.45/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.60 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 2.45/2.60 tff(1884,plain,
% 2.45/2.60 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1883, 213, 464, 717, 1877])).
% 2.45/2.60 tff(1885,plain,
% 2.45/2.60 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(rewrite,[status(thm)],[])).
% 2.45/2.60 tff(1886,plain,
% 2.45/2.60 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(rewrite,[status(thm)],[])).
% 2.45/2.60 tff(1887,plain,
% 2.45/2.60 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.45/2.60 inference(monotonicity,[status(thm)],[1886])).
% 2.45/2.60 tff(1888,plain,
% 2.45/2.60 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(transitivity,[status(thm)],[1887, 1885])).
% 2.45/2.60 tff(1889,plain,
% 2.45/2.60 ((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.60 inference(quant_inst,[status(thm)],[])).
% 2.45/2.60 tff(1890,plain,
% 2.45/2.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.60 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 2.45/2.60 tff(1891,plain,
% 2.45/2.60 ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1890, 76, 11, 706, 9])).
% 2.45/2.60 tff(1892,plain,
% 2.45/2.60 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1891, 12])).
% 2.45/2.60 tff(1893,plain,
% 2.45/2.60 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[853, 110, 1892])).
% 2.45/2.60 tff(1894,plain,
% 2.45/2.60 ($false),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1893, 1884, 66])).
% 2.45/2.60 tff(1895,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.60 tff(1896,plain,
% 2.45/2.60 (~r(s(s(s(z))), s(z))),
% 2.45/2.60 inference(unit_resolution,[status(thm)],[1895, 11, 717, 1874, 706, 9, 16])).
% 2.45/2.61 tff(1897,plain,
% 2.45/2.61 (b(s(s(s(z))), s(z))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[535, 1896])).
% 2.45/2.61 tff(1898,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1899,plain,
% 2.45/2.61 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1900,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 2.45/2.61 inference(monotonicity,[status(thm)],[1899])).
% 2.45/2.61 tff(1901,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.61 inference(transitivity,[status(thm)],[1900, 1898])).
% 2.45/2.61 tff(1902,plain,
% 2.45/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.61 inference(quant_inst,[status(thm)],[])).
% 2.45/2.61 tff(1903,plain,
% 2.45/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 2.45/2.61 inference(modus_ponens,[status(thm)],[1902, 1901])).
% 2.45/2.61 tff(1904,plain,
% 2.45/2.61 ($false),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1903, 213, 782, 1874, 1897, 717, 1872])).
% 2.45/2.61 tff(1905,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.61 tff(1906,plain,
% 2.45/2.61 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1905, 1829, 1120, 6, 1853, 706, 9, 1827])).
% 2.45/2.61 tff(1907,plain,
% 2.45/2.61 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[596, 1906])).
% 2.45/2.61 tff(1908,plain,
% 2.45/2.61 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1909,plain,
% 2.45/2.61 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1910,plain,
% 2.45/2.61 (((~![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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.61 inference(monotonicity,[status(thm)],[1909])).
% 2.45/2.61 tff(1911,plain,
% 2.45/2.61 (((~![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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.61 inference(transitivity,[status(thm)],[1910, 1908])).
% 2.45/2.61 tff(1912,plain,
% 2.45/2.61 ((~![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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.45/2.61 inference(quant_inst,[status(thm)],[])).
% 2.45/2.61 tff(1913,plain,
% 2.45/2.61 ((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.45/2.61 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 2.45/2.61 tff(1914,plain,
% 2.45/2.61 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1913, 76, 14, 706, 9, 13])).
% 2.45/2.61 tff(1915,plain,
% 2.45/2.61 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[484, 1914])).
% 2.45/2.61 tff(1916,plain,
% 2.45/2.61 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1395, 691, 2, 13, 706])).
% 2.45/2.61 tff(1917,plain,
% 2.45/2.61 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[653, 1916])).
% 2.45/2.61 tff(1918,plain,
% 2.45/2.61 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1626, 1917, 506, 467])).
% 2.45/2.61 tff(1919,plain,
% 2.45/2.61 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1042, 1918])).
% 2.45/2.61 tff(1920,plain,
% 2.45/2.61 (((~![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(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1921,plain,
% 2.45/2.61 (((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1922,plain,
% 2.45/2.61 (((~![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(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z)))))))),
% 2.45/2.61 inference(monotonicity,[status(thm)],[1921])).
% 2.45/2.61 tff(1923,plain,
% 2.45/2.61 (((~![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(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.61 inference(transitivity,[status(thm)],[1922, 1920])).
% 2.45/2.61 tff(1924,plain,
% 2.45/2.61 ((~![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(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.61 inference(quant_inst,[status(thm)],[])).
% 2.45/2.61 tff(1925,plain,
% 2.45/2.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.61 inference(modus_ponens,[status(thm)],[1924, 1923])).
% 2.45/2.61 tff(1926,plain,
% 2.45/2.61 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1925, 76, 14, 1919, 691, 13])).
% 2.45/2.61 tff(1927,plain,
% 2.45/2.61 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[436, 1926])).
% 2.45/2.61 tff(1928,plain,
% 2.45/2.61 ($false),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1385, 213, 506, 1917, 467, 1927])).
% 2.45/2.61 tff(1929,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.61 tff(1930,plain,
% 2.45/2.61 (~r(z, s(s(s(z))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1929, 1915, 506, 14, 13, 2, 706])).
% 2.45/2.61 tff(1931,plain,
% 2.45/2.61 (b(z, s(s(s(z))))),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[581, 1930])).
% 2.45/2.61 tff(1932,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1933,plain,
% 2.45/2.61 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1934,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))))),
% 2.45/2.61 inference(monotonicity,[status(thm)],[1933])).
% 2.45/2.61 tff(1935,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.61 inference(transitivity,[status(thm)],[1934, 1932])).
% 2.45/2.61 tff(1936,plain,
% 2.45/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.61 inference(quant_inst,[status(thm)],[])).
% 2.45/2.61 tff(1937,plain,
% 2.45/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))),
% 2.45/2.61 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 2.45/2.61 tff(1938,plain,
% 2.45/2.61 ($false),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1937, 213, 506, 1931, 1915, 831, 202])).
% 2.45/2.61 tff(1939,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.61 tff(1940,plain,
% 2.45/2.61 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[1939, 1907, 1861, 1845, 13, 2, 706, 9])).
% 2.45/2.61 tff(1941,plain,
% 2.45/2.61 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.61 inference(unit_resolution,[status(thm)],[189, 1940])).
% 2.45/2.61 tff(1942,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1943,plain,
% 2.45/2.61 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.61 inference(rewrite,[status(thm)],[])).
% 2.45/2.61 tff(1944,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 2.45/2.61 inference(monotonicity,[status(thm)],[1943])).
% 2.45/2.61 tff(1945,plain,
% 2.45/2.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.61 inference(transitivity,[status(thm)],[1944, 1942])).
% 2.45/2.61 tff(1946,plain,
% 2.45/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.61 inference(quant_inst,[status(thm)],[])).
% 2.45/2.61 tff(1947,plain,
% 2.45/2.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))),
% 2.45/2.62 inference(modus_ponens,[status(thm)],[1946, 1945])).
% 2.45/2.62 tff(1948,plain,
% 2.45/2.62 ($false),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1947, 213, 506, 7, 1016, 202])).
% 2.45/2.62 tff(1949,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.62 tff(1950,plain,
% 2.45/2.62 (~b(s(s(s(z))), z)),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1949, 1907, 1941, 1861])).
% 2.45/2.62 tff(1951,plain,
% 2.45/2.62 (r(s(s(s(z))), z)),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[996, 110, 97, 1950])).
% 2.45/2.62 tff(1952,plain,
% 2.45/2.62 (~b(s(s(s(s(z)))), s(z))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1825, 1, 10, 782, 3])).
% 2.45/2.62 tff(1953,plain,
% 2.45/2.62 (r(s(s(s(s(z)))), s(z))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[115, 1952])).
% 2.45/2.62 tff(1954,plain,
% 2.45/2.62 (((~![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), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(1955,plain,
% 2.45/2.62 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(1956,plain,
% 2.45/2.62 (((~![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(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.62 inference(monotonicity,[status(thm)],[1955])).
% 2.45/2.62 tff(1957,plain,
% 2.45/2.62 (((~![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(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.62 inference(transitivity,[status(thm)],[1956, 1954])).
% 2.45/2.62 tff(1958,plain,
% 2.45/2.62 ((~![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(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 2.45/2.62 inference(quant_inst,[status(thm)],[])).
% 2.45/2.62 tff(1959,plain,
% 2.45/2.62 ((~![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), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.45/2.62 inference(modus_ponens,[status(thm)],[1958, 1957])).
% 2.45/2.62 tff(1960,plain,
% 2.45/2.62 ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1959, 76])).
% 2.45/2.62 tff(1961,plain,
% 2.45/2.62 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1960, 155, 2, 6, 1953])).
% 2.45/2.62 tff(1962,plain,
% 2.45/2.62 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[233, 1961])).
% 2.45/2.62 tff(1963,plain,
% 2.45/2.62 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(1964,plain,
% 2.45/2.62 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(1965,plain,
% 2.45/2.62 (((~![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(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(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(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z))))),
% 2.45/2.62 inference(monotonicity,[status(thm)],[1964])).
% 2.45/2.62 tff(1966,plain,
% 2.45/2.62 (((~![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(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(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(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 2.45/2.62 inference(transitivity,[status(thm)],[1965, 1963])).
% 2.45/2.62 tff(1967,plain,
% 2.45/2.62 ((~![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(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.45/2.62 inference(quant_inst,[status(thm)],[])).
% 2.45/2.62 tff(1968,plain,
% 2.45/2.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z))),
% 2.45/2.62 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 2.45/2.62 tff(1969,plain,
% 2.45/2.62 ($false),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1968, 76, 16, 155, 6, 14, 9])).
% 2.45/2.62 tff(1970,plain,((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.62 tff(1971,plain,
% 2.45/2.62 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1970, 155, 1953, 6, 9])).
% 2.45/2.62 tff(1972,plain,
% 2.45/2.62 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[189, 1971])).
% 2.45/2.62 tff(1973,plain,
% 2.45/2.62 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1462, 76, 2, 1953, 155, 706])).
% 2.45/2.62 tff(1974,plain,
% 2.45/2.62 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[338, 1973])).
% 2.45/2.62 tff(1975,plain,
% 2.45/2.62 (~b(s(s(s(z))), s(z))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[864, 856, 3, 7, 1])).
% 2.45/2.62 tff(1976,plain,
% 2.45/2.62 (r(s(s(s(z))), s(z))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[535, 1975])).
% 2.45/2.62 tff(1977,plain,
% 2.45/2.62 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1875, 1976])).
% 2.45/2.62 tff(1978,plain,
% 2.45/2.62 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[516, 110, 505, 1977])).
% 2.45/2.62 tff(1979,plain,
% 2.45/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(1980,plain,
% 2.45/2.62 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(1981,plain,
% 2.45/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 2.45/2.62 inference(monotonicity,[status(thm)],[1980])).
% 2.45/2.62 tff(1982,plain,
% 2.45/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.62 inference(transitivity,[status(thm)],[1981, 1979])).
% 2.45/2.62 tff(1983,plain,
% 2.45/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.62 inference(quant_inst,[status(thm)],[])).
% 2.45/2.62 tff(1984,plain,
% 2.45/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 2.45/2.62 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 2.45/2.62 tff(1985,plain,
% 2.45/2.62 ($false),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1984, 213, 782, 856, 464, 717, 1978])).
% 2.45/2.62 tff(1986,plain,((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.62 tff(1987,plain,
% 2.45/2.62 (~b(s(z), s(s(s(z))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1986, 11, 1974, 717, 1953, 782, 9, 3, 7, 1])).
% 2.45/2.62 tff(1988,plain,
% 2.45/2.62 (r(s(z), s(s(s(z))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[564, 1987])).
% 2.45/2.62 tff(1989,plain,
% 2.45/2.62 (~r(z, s(s(s(z))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1077, 1988, 2, 11, 9])).
% 2.45/2.62 tff(1990,plain,
% 2.45/2.62 (b(z, s(s(s(z))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[581, 1989])).
% 2.45/2.62 tff(1991,plain,
% 2.45/2.62 ($false),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1500, 76, 11, 1028, 1027, 9])).
% 2.45/2.62 tff(1992,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.62 tff(1993,plain,
% 2.45/2.62 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1992, 11, 1988, 9])).
% 2.45/2.62 tff(1994,plain,
% 2.45/2.62 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1042, 1993])).
% 2.45/2.62 tff(1995,plain,
% 2.45/2.62 (~b(s(s(s(z))), z)),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1515, 1994, 1990, 7])).
% 2.45/2.62 tff(1996,plain,
% 2.45/2.62 (r(s(s(s(z))), z)),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[996, 110, 97, 1995])).
% 2.45/2.62 tff(1997,plain,
% 2.45/2.62 (((~![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(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(1998,plain,
% 2.45/2.62 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(1999,plain,
% 2.45/2.62 (((~![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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.45/2.62 inference(monotonicity,[status(thm)],[1998])).
% 2.45/2.62 tff(2000,plain,
% 2.45/2.62 (((~![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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.62 inference(transitivity,[status(thm)],[1999, 1997])).
% 2.45/2.62 tff(2001,plain,
% 2.45/2.62 ((~![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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))),
% 2.45/2.62 inference(quant_inst,[status(thm)],[])).
% 2.45/2.62 tff(2002,plain,
% 2.45/2.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.45/2.62 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 2.45/2.62 tff(2003,plain,
% 2.45/2.62 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[2002, 76, 10, 155, 1996])).
% 2.45/2.62 tff(2004,plain,
% 2.45/2.62 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1871, 2003])).
% 2.45/2.62 tff(2005,plain,
% 2.45/2.62 (~r(s(s(s(z))), s(z))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1895, 11, 717, 1974, 706, 9, 1953])).
% 2.45/2.62 tff(2006,plain,
% 2.45/2.62 (b(s(s(s(z))), s(z))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[535, 2005])).
% 2.45/2.62 tff(2007,plain,
% 2.45/2.62 ($false),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[1903, 213, 782, 1974, 2006, 717, 2004])).
% 2.45/2.62 tff(2008,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(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)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.62 tff(2009,plain,
% 2.45/2.62 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[2008, 155, 717, 10, 782, 1972, 9, 706, 2, 3, 1])).
% 2.45/2.62 tff(2010,plain,
% 2.45/2.62 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.62 inference(unit_resolution,[status(thm)],[596, 2009])).
% 2.45/2.62 tff(2011,plain,
% 2.45/2.62 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.62 inference(rewrite,[status(thm)],[])).
% 2.45/2.62 tff(2012,plain,
% 2.45/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 2.45/2.62 inference(monotonicity,[status(thm)],[2011])).
% 2.45/2.62 tff(2013,plain,
% 2.45/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.62 inference(transitivity,[status(thm)],[2012, 1942])).
% 2.45/2.62 tff(2014,plain,
% 2.45/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.63 inference(quant_inst,[status(thm)],[])).
% 2.45/2.63 tff(2015,plain,
% 2.45/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))),
% 2.45/2.63 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 2.45/2.63 tff(2016,plain,
% 2.45/2.63 (~b(s(s(s(z))), z)),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2015, 213, 2010, 1972, 1962])).
% 2.45/2.63 tff(2017,plain,
% 2.45/2.63 (r(s(s(s(z))), z)),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[996, 110, 97, 2016])).
% 2.45/2.63 tff(2018,plain,
% 2.45/2.63 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2002, 76, 10, 155, 2017])).
% 2.45/2.63 tff(2019,plain,
% 2.45/2.63 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[1871, 2018])).
% 2.45/2.63 tff(2020,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2021,plain,
% 2.45/2.63 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2022,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))))),
% 2.45/2.63 inference(monotonicity,[status(thm)],[2021])).
% 2.45/2.63 tff(2023,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.63 inference(transitivity,[status(thm)],[2022, 2020])).
% 2.45/2.63 tff(2024,plain,
% 2.45/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.63 inference(quant_inst,[status(thm)],[])).
% 2.45/2.63 tff(2025,plain,
% 2.45/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))),
% 2.45/2.63 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 2.45/2.63 tff(2026,plain,
% 2.45/2.63 (~b(z, s(s(s(z))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2025, 213, 2010, 1972, 1962])).
% 2.45/2.63 tff(2027,plain,
% 2.45/2.63 (r(z, s(s(s(z))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[581, 2026])).
% 2.45/2.63 tff(2028,plain,
% 2.45/2.63 (((~![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), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2029,plain,
% 2.45/2.63 (((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z))) <=> ((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2030,plain,
% 2.45/2.63 (((~![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(z))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), 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(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.45/2.63 inference(monotonicity,[status(thm)],[2029])).
% 2.45/2.63 tff(2031,plain,
% 2.45/2.63 (((~![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(z))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), 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(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.63 inference(transitivity,[status(thm)],[2030, 2028])).
% 2.45/2.63 tff(2032,plain,
% 2.45/2.63 ((~![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(z))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)))),
% 2.45/2.63 inference(quant_inst,[status(thm)],[])).
% 2.45/2.63 tff(2033,plain,
% 2.45/2.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.63 inference(modus_ponens,[status(thm)],[2032, 2031])).
% 2.45/2.63 tff(2034,plain,
% 2.45/2.63 (~r(s(z), s(s(s(z))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2033, 76, 2, 2027, 2017])).
% 2.45/2.63 tff(2035,plain,
% 2.45/2.63 (b(s(z), s(s(s(z))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[564, 2034])).
% 2.45/2.63 tff(2036,plain,
% 2.45/2.63 ($false),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[1984, 213, 782, 2035, 1974, 717, 2019])).
% 2.45/2.63 tff(2037,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.63 tff(2038,plain,
% 2.45/2.63 (~r(s(s(s(s(z)))), z)),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2037, 1829, 1120, 2, 10, 9, 706, 1803, 1805, 6])).
% 2.45/2.63 tff(2039,plain,
% 2.45/2.63 (b(s(s(s(s(z)))), z)),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[170, 2038])).
% 2.45/2.63 tff(2040,plain,
% 2.45/2.63 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[1843, 252, 2, 9, 13])).
% 2.45/2.63 tff(2041,plain,
% 2.45/2.63 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[436, 2040])).
% 2.45/2.63 tff(2042,plain,
% 2.45/2.63 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[1939, 506, 202, 2041, 13, 2, 706, 9])).
% 2.45/2.63 tff(2043,plain,
% 2.45/2.63 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[189, 2042])).
% 2.45/2.63 tff(2044,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2045,plain,
% 2.45/2.63 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2046,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))))),
% 2.45/2.63 inference(monotonicity,[status(thm)],[2045])).
% 2.45/2.63 tff(2047,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.63 inference(transitivity,[status(thm)],[2046, 2044])).
% 2.45/2.63 tff(2048,plain,
% 2.45/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.45/2.63 inference(quant_inst,[status(thm)],[])).
% 2.45/2.63 tff(2049,plain,
% 2.45/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))),
% 2.45/2.63 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 2.45/2.63 tff(2050,plain,
% 2.45/2.63 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2049, 213, 1805, 506, 3, 2043])).
% 2.45/2.63 tff(2051,plain,
% 2.45/2.63 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2050, 1065])).
% 2.45/2.63 tff(2052,plain,
% 2.45/2.63 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[1042, 2051])).
% 2.45/2.63 tff(2053,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2054,plain,
% 2.45/2.63 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2055,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 2.45/2.63 inference(monotonicity,[status(thm)],[2054])).
% 2.45/2.63 tff(2056,plain,
% 2.45/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.45/2.63 inference(transitivity,[status(thm)],[2055, 2053])).
% 2.45/2.63 tff(2057,plain,
% 2.45/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.63 inference(quant_inst,[status(thm)],[])).
% 2.45/2.63 tff(2058,plain,
% 2.45/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 2.45/2.63 inference(modus_ponens,[status(thm)],[2057, 2056])).
% 2.45/2.63 tff(2059,plain,
% 2.45/2.63 (~b(s(s(s(z))), z)),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2058, 213, 506, 3, 7, 8, 202])).
% 2.45/2.63 tff(2060,plain,
% 2.45/2.63 (r(s(s(s(z))), z)),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[996, 110, 97, 2059])).
% 2.45/2.63 tff(2061,plain,
% 2.45/2.63 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2062,plain,
% 2.45/2.63 (((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.45/2.63 inference(rewrite,[status(thm)],[])).
% 2.45/2.63 tff(2063,plain,
% 2.45/2.63 (((~![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(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.45/2.63 inference(monotonicity,[status(thm)],[2062])).
% 2.45/2.63 tff(2064,plain,
% 2.45/2.63 (((~![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(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.45/2.63 inference(transitivity,[status(thm)],[2063, 2061])).
% 2.45/2.63 tff(2065,plain,
% 2.45/2.63 ((~![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(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.63 inference(quant_inst,[status(thm)],[])).
% 2.45/2.63 tff(2066,plain,
% 2.45/2.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.45/2.63 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 2.45/2.63 tff(2067,plain,
% 2.45/2.63 ($false),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2066, 76, 2, 1028, 866, 9, 2060])).
% 2.45/2.63 tff(2068,plain,((~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.63 tff(2069,plain,
% 2.45/2.63 (~b(s(s(s(z))), s(z))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[2068, 2052, 2, 9, 506, 3, 2043, 202, 1805])).
% 2.45/2.63 tff(2070,plain,
% 2.45/2.63 (r(s(s(s(z))), s(z))),
% 2.45/2.63 inference(unit_resolution,[status(thm)],[535, 2069])).
% 2.45/2.63 tff(2071,plain,
% 2.45/2.63 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2072,plain,
% 2.45/2.64 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2073,plain,
% 2.45/2.64 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))))),
% 2.45/2.64 inference(monotonicity,[status(thm)],[2072])).
% 2.45/2.64 tff(2074,plain,
% 2.45/2.64 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.45/2.64 inference(transitivity,[status(thm)],[2073, 2071])).
% 2.45/2.64 tff(2075,plain,
% 2.45/2.64 ((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.45/2.64 inference(quant_inst,[status(thm)],[])).
% 2.45/2.64 tff(2076,plain,
% 2.45/2.64 ((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))),
% 2.45/2.64 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 2.45/2.64 tff(2077,plain,
% 2.45/2.64 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2076, 76, 16, 6, 9, 2070])).
% 2.45/2.64 tff(2078,plain,
% 2.45/2.64 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[550, 110, 2077])).
% 2.45/2.64 tff(2079,plain,
% 2.45/2.64 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2078, 540])).
% 2.45/2.64 tff(2080,plain,
% 2.45/2.64 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2081,plain,
% 2.45/2.64 (((~![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(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.45/2.64 inference(monotonicity,[status(thm)],[2080])).
% 2.45/2.64 tff(2082,plain,
% 2.45/2.64 (((~![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(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.64 inference(transitivity,[status(thm)],[2081, 1364])).
% 2.45/2.64 tff(2083,plain,
% 2.45/2.64 ((~![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(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.45/2.64 inference(quant_inst,[status(thm)],[])).
% 2.45/2.64 tff(2084,plain,
% 2.45/2.64 ((~![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(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.64 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 2.45/2.64 tff(2085,plain,
% 2.45/2.64 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2084, 76, 706, 252, 2070])).
% 2.45/2.64 tff(2086,plain,
% 2.45/2.64 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[853, 110, 2085])).
% 2.45/2.64 tff(2087,plain,
% 2.45/2.64 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2086, 66])).
% 2.45/2.64 tff(2088,plain,
% 2.45/2.64 (((~![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(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2089,plain,
% 2.45/2.64 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2090,plain,
% 2.45/2.64 (((~![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(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 2.45/2.64 inference(monotonicity,[status(thm)],[2089])).
% 2.45/2.64 tff(2091,plain,
% 2.45/2.64 (((~![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(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.45/2.64 inference(transitivity,[status(thm)],[2090, 2088])).
% 2.45/2.64 tff(2092,plain,
% 2.45/2.64 ((~![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(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.45/2.64 inference(quant_inst,[status(thm)],[])).
% 2.45/2.64 tff(2093,plain,
% 2.45/2.64 ((~![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(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 2.45/2.64 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 2.45/2.64 tff(2094,plain,
% 2.45/2.64 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2093, 76, 2, 706, 2070, 13])).
% 2.45/2.64 tff(2095,plain,
% 2.45/2.64 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[653, 2094])).
% 2.45/2.64 tff(2096,plain,
% 2.45/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2097,plain,
% 2.45/2.64 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2098,plain,
% 2.45/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))))),
% 2.45/2.64 inference(monotonicity,[status(thm)],[2097])).
% 2.45/2.64 tff(2099,plain,
% 2.45/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.64 inference(transitivity,[status(thm)],[2098, 2096])).
% 2.45/2.64 tff(2100,plain,
% 2.45/2.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 2.45/2.64 inference(quant_inst,[status(thm)],[])).
% 2.45/2.64 tff(2101,plain,
% 2.45/2.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))),
% 2.45/2.64 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 2.45/2.64 tff(2102,plain,
% 2.45/2.64 ($false),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2101, 213, 191, 1065, 2095, 2087, 2079])).
% 2.45/2.64 tff(2103,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.64 tff(2104,plain,
% 2.45/2.64 (~b(z, s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2103, 2039, 706, 1841, 1827, 6, 9, 2, 13, 1907, 1803, 1861])).
% 2.45/2.64 tff(2105,plain,
% 2.45/2.64 (r(z, s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[581, 2104])).
% 2.45/2.64 tff(2106,plain,
% 2.45/2.64 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[1395, 2105, 2, 13, 706])).
% 2.45/2.64 tff(2107,plain,
% 2.45/2.64 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[653, 2106])).
% 2.45/2.64 tff(2108,plain,
% 2.45/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2109,plain,
% 2.45/2.64 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2110,plain,
% 2.45/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.45/2.64 inference(monotonicity,[status(thm)],[2109])).
% 2.45/2.64 tff(2111,plain,
% 2.45/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.64 inference(transitivity,[status(thm)],[2110, 2108])).
% 2.45/2.64 tff(2112,plain,
% 2.45/2.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.64 inference(quant_inst,[status(thm)],[])).
% 2.45/2.64 tff(2113,plain,
% 2.45/2.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.64 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 2.45/2.64 tff(2114,plain,
% 2.45/2.64 ($false),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2113, 213, 506, 1507, 868, 831])).
% 2.45/2.64 tff(2115,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.64 tff(2116,plain,
% 2.45/2.64 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2115, 1907, 2107, 1845])).
% 2.45/2.64 tff(2117,plain,
% 2.45/2.64 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[1042, 2116])).
% 2.45/2.64 tff(2118,plain,
% 2.45/2.64 (~b(s(s(s(z))), s(z))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[2068, 2117, 2, 9, 1907, 1803, 1941, 1861, 1805])).
% 2.45/2.64 tff(2119,plain,
% 2.45/2.64 (r(s(s(s(z))), s(z))),
% 2.45/2.64 inference(unit_resolution,[status(thm)],[535, 2118])).
% 2.45/2.64 tff(2120,plain,
% 2.45/2.64 (((~![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(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(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(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2121,plain,
% 2.45/2.64 (((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.64 inference(rewrite,[status(thm)],[])).
% 2.45/2.64 tff(2122,plain,
% 2.45/2.64 (((~![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(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, 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)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.45/2.65 inference(monotonicity,[status(thm)],[2121])).
% 2.45/2.65 tff(2123,plain,
% 2.45/2.65 (((~![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(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, 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)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.65 inference(transitivity,[status(thm)],[2122, 2120])).
% 2.45/2.65 tff(2124,plain,
% 2.45/2.65 ((~![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(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.65 inference(quant_inst,[status(thm)],[])).
% 2.45/2.65 tff(2125,plain,
% 2.45/2.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.45/2.65 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 2.45/2.65 tff(2126,plain,
% 2.45/2.65 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2125, 76, 2, 1827, 2119, 1951])).
% 2.45/2.65 tff(2127,plain,
% 2.45/2.65 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[1871, 2126])).
% 2.45/2.65 tff(2128,plain,
% 2.45/2.65 (~r(s(z), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2066, 76, 2, 2117, 9, 1951])).
% 2.45/2.65 tff(2129,plain,
% 2.45/2.65 (b(s(z), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[564, 2128])).
% 2.45/2.65 tff(2130,plain,
% 2.45/2.65 ($false),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[1984, 213, 1120, 2129, 1839, 1829, 2127])).
% 2.45/2.65 tff(2131,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.65 tff(2132,plain,
% 2.45/2.65 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2131, 6, 9, 13, 2, 10])).
% 2.45/2.65 tff(2133,plain,
% 2.45/2.65 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[610, 2132])).
% 2.45/2.65 tff(2134,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2135,plain,
% 2.45/2.65 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2136,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.45/2.65 inference(monotonicity,[status(thm)],[2135])).
% 2.45/2.65 tff(2137,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.45/2.65 inference(transitivity,[status(thm)],[2136, 2134])).
% 2.45/2.65 tff(2138,plain,
% 2.45/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.65 inference(quant_inst,[status(thm)],[])).
% 2.45/2.65 tff(2139,plain,
% 2.45/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 2.45/2.65 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 2.45/2.65 tff(2140,plain,
% 2.45/2.65 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2139, 213, 782, 284, 281, 3])).
% 2.45/2.65 tff(2141,plain,
% 2.45/2.65 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[484, 2140])).
% 2.45/2.65 tff(2142,plain,
% 2.45/2.65 ($false),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[1275, 2141, 1267, 10, 13, 6])).
% 2.45/2.65 tff(2143,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.65 tff(2144,plain,
% 2.45/2.65 (~b(s(s(s(s(z)))), s(z))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2143, 6, 13, 10, 1120, 2133, 1803])).
% 2.45/2.65 tff(2145,plain,
% 2.45/2.65 (r(s(s(s(s(z)))), s(z))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[115, 2144])).
% 2.45/2.65 tff(2146,plain,
% 2.45/2.65 ($false),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[1246, 76, 2, 11, 14, 1027, 9])).
% 2.45/2.65 tff(2147,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.65 tff(2148,plain,
% 2.45/2.65 (~r(s(z), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2147, 14, 11, 2, 9])).
% 2.45/2.65 tff(2149,plain,
% 2.45/2.65 (b(s(z), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[564, 2148])).
% 2.45/2.65 tff(2150,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2151,plain,
% 2.45/2.65 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2152,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.45/2.65 inference(monotonicity,[status(thm)],[2151])).
% 2.45/2.65 tff(2153,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.65 inference(transitivity,[status(thm)],[2152, 2150])).
% 2.45/2.65 tff(2154,plain,
% 2.45/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.65 inference(quant_inst,[status(thm)],[])).
% 2.45/2.65 tff(2155,plain,
% 2.45/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.45/2.65 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 2.45/2.65 tff(2156,plain,
% 2.45/2.65 ($false),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2155, 213, 281, 3, 856, 467, 8])).
% 2.45/2.65 tff(2157,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.65 tff(2158,plain,
% 2.45/2.65 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2157, 8, 3, 281, 856])).
% 2.45/2.65 tff(2159,plain,
% 2.45/2.65 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[484, 2158])).
% 2.45/2.65 tff(2160,plain,
% 2.45/2.65 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[1275, 2159, 10, 13, 6])).
% 2.45/2.65 tff(2161,plain,
% 2.45/2.65 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[316, 2160])).
% 2.45/2.65 tff(2162,plain,
% 2.45/2.65 (((~![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(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2163,plain,
% 2.45/2.65 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2164,plain,
% 2.45/2.65 (((~![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(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 2.45/2.65 inference(monotonicity,[status(thm)],[2163])).
% 2.45/2.65 tff(2165,plain,
% 2.45/2.65 (((~![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(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.45/2.65 inference(transitivity,[status(thm)],[2164, 2162])).
% 2.45/2.65 tff(2166,plain,
% 2.45/2.65 ((~![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(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.45/2.65 inference(quant_inst,[status(thm)],[])).
% 2.45/2.65 tff(2167,plain,
% 2.45/2.65 ((~![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(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 2.45/2.65 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 2.45/2.65 tff(2168,plain,
% 2.45/2.65 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2167, 76, 11, 14, 13])).
% 2.45/2.65 tff(2169,plain,
% 2.45/2.65 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2168, 2159])).
% 2.45/2.65 tff(2170,plain,
% 2.45/2.65 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[653, 2169])).
% 2.45/2.65 tff(2171,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2172,plain,
% 2.45/2.65 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2173,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.45/2.65 inference(monotonicity,[status(thm)],[2172])).
% 2.45/2.65 tff(2174,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.65 inference(transitivity,[status(thm)],[2173, 2171])).
% 2.45/2.65 tff(2175,plain,
% 2.45/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.45/2.65 inference(quant_inst,[status(thm)],[])).
% 2.45/2.65 tff(2176,plain,
% 2.45/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.45/2.65 inference(modus_ponens,[status(thm)],[2175, 2174])).
% 2.45/2.65 tff(2177,plain,
% 2.45/2.65 ($false),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2176, 213, 782, 281, 2170, 856, 8, 2161])).
% 2.45/2.65 tff(2178,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.65 tff(2179,plain,
% 2.45/2.65 (~b(s(s(s(z))), s(z))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2178, 2149, 2133, 1120, 11, 14, 13, 10, 6, 1803])).
% 2.45/2.65 tff(2180,plain,
% 2.45/2.65 (r(s(s(s(z))), s(z))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[535, 2179])).
% 2.45/2.65 tff(2181,plain,
% 2.45/2.65 ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[896, 76, 2145, 11, 9])).
% 2.45/2.65 tff(2182,plain,
% 2.45/2.65 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2181, 2180])).
% 2.45/2.65 tff(2183,plain,
% 2.45/2.65 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[1871, 2182])).
% 2.45/2.65 tff(2184,plain,
% 2.45/2.65 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2076, 76, 2145, 6, 9, 2180])).
% 2.45/2.65 tff(2185,plain,
% 2.45/2.65 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[550, 110, 2184])).
% 2.45/2.65 tff(2186,plain,
% 2.45/2.65 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.65 inference(unit_resolution,[status(thm)],[2185, 540])).
% 2.45/2.65 tff(2187,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2188,plain,
% 2.45/2.65 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.65 inference(rewrite,[status(thm)],[])).
% 2.45/2.65 tff(2189,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))))),
% 2.45/2.65 inference(monotonicity,[status(thm)],[2188])).
% 2.45/2.65 tff(2190,plain,
% 2.45/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.66 inference(transitivity,[status(thm)],[2189, 2187])).
% 2.45/2.66 tff(2191,plain,
% 2.45/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.66 inference(quant_inst,[status(thm)],[])).
% 2.45/2.66 tff(2192,plain,
% 2.45/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))),
% 2.45/2.66 inference(modus_ponens,[status(thm)],[2191, 2190])).
% 2.45/2.66 tff(2193,plain,
% 2.45/2.66 ($false),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2192, 213, 1120, 2149, 2186, 2183])).
% 2.45/2.66 tff(2194,plain,((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.66 tff(2195,plain,
% 2.45/2.66 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2194, 11, 9, 6, 13, 10, 2])).
% 2.45/2.66 tff(2196,plain,
% 2.45/2.66 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[189, 2195])).
% 2.45/2.66 tff(2197,plain,
% 2.45/2.66 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1871, 1876])).
% 2.45/2.66 tff(2198,plain,
% 2.45/2.66 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2076, 76, 16, 6, 9, 12])).
% 2.45/2.66 tff(2199,plain,
% 2.45/2.66 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[550, 110, 2198])).
% 2.45/2.66 tff(2200,plain,
% 2.45/2.66 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2199, 540])).
% 2.45/2.66 tff(2201,plain,
% 2.45/2.66 (~b(s(z), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2192, 213, 782, 2200, 2197])).
% 2.45/2.66 tff(2202,plain,
% 2.45/2.66 (r(s(z), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[564, 2201])).
% 2.45/2.66 tff(2203,plain,
% 2.45/2.66 (~r(z, s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1077, 2202, 2, 11, 9])).
% 2.45/2.66 tff(2204,plain,
% 2.45/2.66 (b(z, s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[581, 2203])).
% 2.45/2.66 tff(2205,plain,
% 2.45/2.66 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1992, 2202, 11, 9])).
% 2.45/2.66 tff(2206,plain,
% 2.45/2.66 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1042, 2205])).
% 2.45/2.66 tff(2207,plain,
% 2.45/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2208,plain,
% 2.45/2.66 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2209,plain,
% 2.45/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))))),
% 2.45/2.66 inference(monotonicity,[status(thm)],[2208])).
% 2.45/2.66 tff(2210,plain,
% 2.45/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.66 inference(transitivity,[status(thm)],[2209, 2207])).
% 2.45/2.66 tff(2211,plain,
% 2.45/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.45/2.66 inference(quant_inst,[status(thm)],[])).
% 2.45/2.66 tff(2212,plain,
% 2.45/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 2.45/2.66 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 2.45/2.66 tff(2213,plain,
% 2.45/2.66 ($false),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2212, 213, 2206, 2204, 7, 2200, 2197])).
% 2.45/2.66 tff(2214,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.66 tff(2215,plain,
% 2.45/2.66 (~r(s(s(s(z))), s(z))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2214, 2196, 11, 9, 2, 1120, 2145, 6])).
% 2.45/2.66 tff(2216,plain,
% 2.45/2.66 (b(s(s(s(z))), s(z))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[535, 2215])).
% 2.45/2.66 tff(2217,plain,
% 2.45/2.66 (~r(z, s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1077, 1027, 2, 11, 9])).
% 2.45/2.66 tff(2218,plain,
% 2.45/2.66 (b(z, s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[581, 2217])).
% 2.45/2.66 tff(2219,plain,
% 2.45/2.66 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1992, 1027, 11, 9])).
% 2.45/2.66 tff(2220,plain,
% 2.45/2.66 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1042, 2219])).
% 2.45/2.66 tff(2221,plain,
% 2.45/2.66 (~b(s(s(s(z))), z)),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1515, 2220, 7, 2218])).
% 2.45/2.66 tff(2222,plain,
% 2.45/2.66 (r(s(s(s(z))), z)),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[996, 110, 97, 2221])).
% 2.45/2.66 tff(2223,plain,
% 2.45/2.66 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1350, 2222])).
% 2.45/2.66 tff(2224,plain,
% 2.45/2.66 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1871, 2223])).
% 2.45/2.66 tff(2225,plain,
% 2.45/2.66 (((~![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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2226,plain,
% 2.45/2.66 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2227,plain,
% 2.45/2.66 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.66 inference(monotonicity,[status(thm)],[2226])).
% 2.45/2.66 tff(2228,plain,
% 2.45/2.66 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(transitivity,[status(thm)],[2227, 2225])).
% 2.45/2.66 tff(2229,plain,
% 2.45/2.66 ((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.45/2.66 inference(quant_inst,[status(thm)],[])).
% 2.45/2.66 tff(2230,plain,
% 2.45/2.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.45/2.66 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 2.45/2.66 tff(2231,plain,
% 2.45/2.66 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2230, 76, 16, 11, 6, 1027])).
% 2.45/2.66 tff(2232,plain,
% 2.45/2.66 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[550, 110, 2231])).
% 2.45/2.66 tff(2233,plain,
% 2.45/2.66 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2232, 540])).
% 2.45/2.66 tff(2234,plain,
% 2.45/2.66 ($false),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2212, 213, 2220, 2218, 7, 2233, 2224])).
% 2.45/2.66 tff(2235,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.66 tff(2236,plain,
% 2.45/2.66 (~r(s(z), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2235, 2196, 10, 11, 6, 2145, 9, 2])).
% 2.45/2.66 tff(2237,plain,
% 2.45/2.66 (b(s(z), s(s(s(z))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[564, 2236])).
% 2.45/2.66 tff(2238,plain,
% 2.45/2.66 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2157, 2237, 1803, 2133, 2216])).
% 2.45/2.66 tff(2239,plain,
% 2.45/2.66 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[484, 2238])).
% 2.45/2.66 tff(2240,plain,
% 2.45/2.66 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1275, 2239, 10, 13, 6])).
% 2.45/2.66 tff(2241,plain,
% 2.45/2.66 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[316, 2240])).
% 2.45/2.66 tff(2242,plain,
% 2.45/2.66 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[1432, 2241, 1120, 2133])).
% 2.45/2.66 tff(2243,plain,
% 2.45/2.66 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[338, 2242])).
% 2.45/2.66 tff(2244,plain,
% 2.45/2.66 (((~![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(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2245,plain,
% 2.45/2.66 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2246,plain,
% 2.45/2.66 (((~![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(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.66 inference(monotonicity,[status(thm)],[2245])).
% 2.45/2.66 tff(2247,plain,
% 2.45/2.66 (((~![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(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(transitivity,[status(thm)],[2246, 2244])).
% 2.45/2.66 tff(2248,plain,
% 2.45/2.66 ((~![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(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.66 inference(quant_inst,[status(thm)],[])).
% 2.45/2.66 tff(2249,plain,
% 2.45/2.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.45/2.66 inference(modus_ponens,[status(thm)],[2248, 2247])).
% 2.45/2.66 tff(2250,plain,
% 2.45/2.66 ($false),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2249, 76, 6, 598, 689, 382])).
% 2.45/2.66 tff(2251,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.66 tff(2252,plain,
% 2.45/2.66 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2251, 2243, 6, 2239])).
% 2.45/2.66 tff(2253,plain,
% 2.45/2.66 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[436, 2252])).
% 2.45/2.66 tff(2254,plain,
% 2.45/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2255,plain,
% 2.45/2.66 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2256,plain,
% 2.45/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.45/2.66 inference(monotonicity,[status(thm)],[2255])).
% 2.45/2.66 tff(2257,plain,
% 2.45/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.66 inference(transitivity,[status(thm)],[2256, 2254])).
% 2.45/2.66 tff(2258,plain,
% 2.45/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.66 inference(quant_inst,[status(thm)],[])).
% 2.45/2.66 tff(2259,plain,
% 2.45/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.45/2.66 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 2.45/2.66 tff(2260,plain,
% 2.45/2.66 ($false),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2259, 213, 2133, 1803, 2237, 2216, 2253])).
% 2.45/2.66 tff(2261,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.66 tff(2262,plain,
% 2.45/2.66 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[2261, 6, 10, 13, 9, 2])).
% 2.45/2.66 tff(2263,plain,
% 2.45/2.66 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.66 inference(unit_resolution,[status(thm)],[596, 2262])).
% 2.45/2.66 tff(2264,plain,
% 2.45/2.66 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2265,plain,
% 2.45/2.66 (((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.66 inference(rewrite,[status(thm)],[])).
% 2.45/2.66 tff(2266,plain,
% 2.45/2.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.45/2.66 inference(monotonicity,[status(thm)],[2265])).
% 2.45/2.66 tff(2267,plain,
% 2.45/2.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.66 inference(transitivity,[status(thm)],[2266, 2264])).
% 2.45/2.66 tff(2268,plain,
% 2.45/2.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.66 inference(quant_inst,[status(thm)],[])).
% 2.45/2.66 tff(2269,plain,
% 2.45/2.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.67 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 2.45/2.67 tff(2270,plain,
% 2.45/2.67 ($false),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2269, 76, 2, 14, 691, 1027, 9])).
% 2.45/2.67 tff(2271,plain,((~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.67 tff(2272,plain,
% 2.45/2.67 (~r(z, s(s(s(z))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2271, 1027, 14, 2, 9])).
% 2.45/2.67 tff(2273,plain,
% 2.45/2.67 (b(z, s(s(s(z))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[581, 2272])).
% 2.45/2.67 tff(2274,plain,
% 2.45/2.67 (~r(s(s(s(s(z)))), z)),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[1970, 14, 16, 6, 9])).
% 2.45/2.67 tff(2275,plain,
% 2.45/2.67 (b(s(s(s(s(z)))), z)),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[170, 2274])).
% 2.45/2.67 tff(2276,plain,
% 2.45/2.67 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(rewrite,[status(thm)],[])).
% 2.45/2.67 tff(2277,plain,
% 2.45/2.67 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(rewrite,[status(thm)],[])).
% 2.45/2.67 tff(2278,plain,
% 2.45/2.67 (((~![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(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.67 inference(monotonicity,[status(thm)],[2277])).
% 2.45/2.67 tff(2279,plain,
% 2.45/2.67 (((~![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(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(transitivity,[status(thm)],[2278, 2276])).
% 2.45/2.67 tff(2280,plain,
% 2.45/2.67 ((~![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(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)))),
% 2.45/2.67 inference(quant_inst,[status(thm)],[])).
% 2.45/2.67 tff(2281,plain,
% 2.45/2.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.45/2.67 inference(modus_ponens,[status(thm)],[2280, 2279])).
% 2.45/2.67 tff(2282,plain,
% 2.45/2.67 ($false),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2281, 76, 2, 738, 14, 9])).
% 2.45/2.67 tff(2283,plain,((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.67 tff(2284,plain,
% 2.45/2.67 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2283, 14, 2, 9])).
% 2.45/2.67 tff(2285,plain,
% 2.45/2.67 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[233, 2284])).
% 2.45/2.67 tff(2286,plain,
% 2.45/2.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.67 inference(rewrite,[status(thm)],[])).
% 2.45/2.67 tff(2287,plain,
% 2.45/2.67 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.67 inference(rewrite,[status(thm)],[])).
% 2.45/2.67 tff(2288,plain,
% 2.45/2.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))))),
% 2.45/2.67 inference(monotonicity,[status(thm)],[2287])).
% 2.45/2.67 tff(2289,plain,
% 2.45/2.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.67 inference(transitivity,[status(thm)],[2288, 2286])).
% 2.45/2.67 tff(2290,plain,
% 2.45/2.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 2.45/2.67 inference(quant_inst,[status(thm)],[])).
% 2.45/2.67 tff(2291,plain,
% 2.45/2.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))),
% 2.45/2.67 inference(modus_ponens,[status(thm)],[2290, 2289])).
% 2.45/2.67 tff(2292,plain,
% 2.45/2.67 ($false),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2291, 213, 506, 1507, 1065, 202])).
% 2.45/2.67 tff(2293,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.67 tff(2294,plain,
% 2.45/2.67 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2293, 2273, 506, 2285])).
% 2.45/2.67 tff(2295,plain,
% 2.45/2.67 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[1042, 2294])).
% 2.45/2.67 tff(2296,assumption,(r(s(s(s(z))), z)), introduced(assumption)).
% 2.45/2.67 tff(2297,plain,
% 2.45/2.67 ($false),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2066, 76, 2, 1028, 1027, 9, 2296])).
% 2.45/2.67 tff(2298,plain,((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.67 tff(2299,plain,
% 2.45/2.67 (~r(s(s(s(z))), z)),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2298, 2295, 2, 1027, 9])).
% 2.45/2.67 tff(2300,assumption,(~r(s(s(s(z))), z)), introduced(assumption)).
% 2.45/2.67 tff(2301,assumption,(~b(s(s(s(z))), z)), introduced(assumption)).
% 2.45/2.67 tff(2302,plain,
% 2.45/2.67 ($false),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[996, 110, 97, 2301, 2300])).
% 2.45/2.67 tff(2303,plain,(r(s(s(s(z))), z) | b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 2.45/2.67 tff(2304,plain,
% 2.45/2.67 (b(s(s(s(z))), z)),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2303, 2299])).
% 2.45/2.67 tff(2305,assumption,(b(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 2.45/2.67 tff(2306,plain,
% 2.45/2.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.67 inference(rewrite,[status(thm)],[])).
% 2.45/2.67 tff(2307,plain,
% 2.45/2.67 (((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.67 inference(rewrite,[status(thm)],[])).
% 2.45/2.67 tff(2308,plain,
% 2.45/2.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.45/2.67 inference(monotonicity,[status(thm)],[2307])).
% 2.45/2.67 tff(2309,plain,
% 2.45/2.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.67 inference(transitivity,[status(thm)],[2308, 2306])).
% 2.45/2.67 tff(2310,plain,
% 2.45/2.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 2.45/2.67 inference(quant_inst,[status(thm)],[])).
% 2.45/2.67 tff(2311,plain,
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% 2.45/2.67 inference(modus_ponens,[status(thm)],[2310, 2309])).
% 2.45/2.67 tff(2312,plain,
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% 2.45/2.67 inference(unit_resolution,[status(thm)],[2311, 213, 191, 1065, 1016, 2305])).
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% 2.45/2.67 tff(2314,plain,
% 2.45/2.67 (~b(s(s(s(s(z)))), s(s(s(z))))),
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% 2.45/2.67 tff(2315,plain,
% 2.45/2.67 ((s(s(s(s(z)))) = s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[550, 110, 2314])).
% 2.45/2.67 tff(2316,plain,
% 2.45/2.67 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2315, 540])).
% 2.45/2.67 tff(2317,plain,
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% 2.45/2.67 tff(2318,plain,
% 2.45/2.67 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.45/2.67 inference(rewrite,[status(thm)],[])).
% 2.45/2.67 tff(2319,plain,
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% 2.45/2.67 inference(monotonicity,[status(thm)],[2318])).
% 2.45/2.67 tff(2320,plain,
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% 2.45/2.67 inference(transitivity,[status(thm)],[2319, 2317])).
% 2.45/2.67 tff(2321,plain,
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% 2.45/2.67 inference(quant_inst,[status(thm)],[])).
% 2.45/2.67 tff(2322,plain,
% 2.45/2.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.45/2.67 inference(modus_ponens,[status(thm)],[2321, 2320])).
% 2.45/2.67 tff(2323,plain,
% 2.45/2.67 ($false),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2322, 76, 16, 6, 2295, 9, 2316])).
% 2.45/2.67 tff(2324,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.67 tff(2325,plain,
% 2.45/2.67 (~r(s(z), s(s(s(z))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2324, 14, 6, 9, 2, 2263, 2145])).
% 2.45/2.67 tff(2326,plain,
% 2.45/2.67 (b(s(z), s(s(s(z))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[564, 2325])).
% 2.45/2.67 tff(2327,plain,
% 2.45/2.67 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[1275, 598, 10, 13, 6])).
% 2.45/2.67 tff(2328,plain,
% 2.45/2.67 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[316, 2327])).
% 2.45/2.67 tff(2329,plain,
% 2.45/2.67 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[1432, 2328, 1120, 2133])).
% 2.45/2.67 tff(2330,plain,
% 2.45/2.67 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[338, 2329])).
% 2.45/2.67 tff(2331,plain,
% 2.45/2.67 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2251, 2330, 6, 598])).
% 2.45/2.67 tff(2332,plain,
% 2.45/2.67 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[436, 2331])).
% 2.45/2.67 tff(2333,plain,
% 2.45/2.67 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
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% 2.45/2.67 tff(2334,plain,
% 2.45/2.67 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(rewrite,[status(thm)],[])).
% 2.45/2.67 tff(2335,plain,
% 2.45/2.67 (((~![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(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.67 inference(monotonicity,[status(thm)],[2334])).
% 2.45/2.67 tff(2336,plain,
% 2.45/2.67 (((~![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(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(transitivity,[status(thm)],[2335, 2333])).
% 2.45/2.67 tff(2337,plain,
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% 2.45/2.67 inference(quant_inst,[status(thm)],[])).
% 2.45/2.67 tff(2338,plain,
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% 2.45/2.67 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 2.45/2.67 tff(2339,plain,
% 2.45/2.67 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[2338, 76, 2, 14, 598, 9])).
% 2.45/2.67 tff(2340,plain,
% 2.45/2.67 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[279, 2339])).
% 2.45/2.67 tff(2341,plain,
% 2.45/2.67 ($false),
% 2.45/2.67 inference(unit_resolution,[status(thm)],[443, 213, 2133, 1803, 2340, 2332])).
% 2.45/2.67 tff(2342,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.68 tff(2343,plain,
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% 2.45/2.68 tff(2344,plain,
% 2.45/2.68 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
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% 2.45/2.68 tff(2345,plain,
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% 2.45/2.68 tff(2346,plain,
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% 2.45/2.68 tff(2347,plain,
% 2.45/2.68 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2076, 76, 2145, 6, 9, 2346])).
% 2.45/2.68 tff(2348,plain,
% 2.45/2.68 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[550, 110, 2347])).
% 2.45/2.68 tff(2349,plain,
% 2.45/2.68 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2348, 540])).
% 2.45/2.68 tff(2350,assumption,(b(s(s(s(z))), s(s(s(s(z)))))), introduced(assumption)).
% 2.45/2.68 tff(2351,plain,
% 2.45/2.68 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2352,plain,
% 2.45/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))))),
% 2.45/2.68 inference(monotonicity,[status(thm)],[2351])).
% 2.45/2.68 tff(2353,plain,
% 2.45/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.68 inference(transitivity,[status(thm)],[2352, 2187])).
% 2.45/2.68 tff(2354,plain,
% 2.45/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.45/2.68 inference(quant_inst,[status(thm)],[])).
% 2.45/2.68 tff(2355,plain,
% 2.45/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))),
% 2.45/2.68 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 2.45/2.68 tff(2356,plain,
% 2.45/2.68 ($false),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2355, 213, 782, 856, 2305, 2350])).
% 2.45/2.68 tff(2357,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.68 tff(2358,plain,
% 2.45/2.68 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2357, 2349, 2326, 1120])).
% 2.45/2.68 tff(2359,plain,
% 2.45/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2360,plain,
% 2.45/2.68 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2361,plain,
% 2.45/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))))),
% 2.45/2.68 inference(monotonicity,[status(thm)],[2360])).
% 2.45/2.68 tff(2362,plain,
% 2.45/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.45/2.68 inference(transitivity,[status(thm)],[2361, 2359])).
% 2.45/2.68 tff(2363,plain,
% 2.45/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.45/2.68 inference(quant_inst,[status(thm)],[])).
% 2.45/2.68 tff(2364,plain,
% 2.45/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))),
% 2.45/2.68 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 2.45/2.68 tff(2365,plain,
% 2.45/2.68 ($false),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2364, 213, 506, 3, 1507, 856])).
% 2.45/2.68 tff(2366,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.68 tff(2367,plain,
% 2.45/2.68 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2366, 2326, 1803, 2263])).
% 2.45/2.68 tff(2368,plain,
% 2.45/2.68 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[1042, 2367])).
% 2.45/2.68 tff(2369,plain,
% 2.45/2.68 (~r(s(s(s(s(z)))), z)),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[1970, 14, 2145, 6, 9])).
% 2.45/2.68 tff(2370,plain,
% 2.45/2.68 (b(s(s(s(s(z)))), z)),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[170, 2369])).
% 2.45/2.68 tff(2371,plain,
% 2.45/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2372,plain,
% 2.45/2.68 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2373,plain,
% 2.45/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.45/2.68 inference(monotonicity,[status(thm)],[2372])).
% 2.45/2.68 tff(2374,plain,
% 2.45/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.45/2.68 inference(transitivity,[status(thm)],[2373, 2371])).
% 2.45/2.68 tff(2375,plain,
% 2.45/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))),
% 2.45/2.68 inference(quant_inst,[status(thm)],[])).
% 2.45/2.68 tff(2376,plain,
% 2.45/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.45/2.68 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 2.45/2.68 tff(2377,plain,
% 2.45/2.68 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2376, 76, 10, 16, 12])).
% 2.45/2.68 tff(2378,plain,
% 2.45/2.68 (~r(s(s(s(z))), z)),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2377, 1556])).
% 2.45/2.68 tff(2379,plain,
% 2.45/2.68 (b(s(s(s(z))), z)),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[996, 110, 97, 2378])).
% 2.45/2.68 tff(2380,plain,
% 2.45/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2381,plain,
% 2.45/2.68 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2382,plain,
% 2.45/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.45/2.68 inference(monotonicity,[status(thm)],[2381])).
% 2.45/2.68 tff(2383,plain,
% 2.45/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.68 inference(transitivity,[status(thm)],[2382, 2380])).
% 2.45/2.68 tff(2384,plain,
% 2.45/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.68 inference(quant_inst,[status(thm)],[])).
% 2.45/2.68 tff(2385,plain,
% 2.45/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.68 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 2.45/2.68 tff(2386,plain,
% 2.45/2.68 ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2385, 76, 10, 1028, 1556])).
% 2.45/2.68 tff(2387,plain,
% 2.45/2.68 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2386, 691])).
% 2.45/2.68 tff(2388,plain,
% 2.45/2.68 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[233, 2387])).
% 2.45/2.68 tff(2389,plain,
% 2.45/2.68 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[1925, 76, 14, 1028, 691, 13])).
% 2.45/2.68 tff(2390,plain,
% 2.45/2.68 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[436, 2389])).
% 2.45/2.68 tff(2391,plain,
% 2.45/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2392,plain,
% 2.45/2.68 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.68 inference(rewrite,[status(thm)],[])).
% 2.45/2.68 tff(2393,plain,
% 2.45/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 2.45/2.68 inference(monotonicity,[status(thm)],[2392])).
% 2.45/2.68 tff(2394,plain,
% 2.45/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.68 inference(transitivity,[status(thm)],[2393, 2391])).
% 2.45/2.68 tff(2395,plain,
% 2.45/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.45/2.68 inference(quant_inst,[status(thm)],[])).
% 2.45/2.68 tff(2396,plain,
% 2.45/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 2.45/2.68 inference(modus_ponens,[status(thm)],[2395, 2394])).
% 2.45/2.68 tff(2397,plain,
% 2.45/2.68 ($false),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2396, 213, 506, 467, 2390, 1016, 2388])).
% 2.45/2.68 tff(2398,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.68 tff(2399,plain,
% 2.45/2.68 (~r(z, s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2398, 2379, 467, 506, 14, 1028, 13, 10, 1556])).
% 2.45/2.68 tff(2400,plain,
% 2.45/2.68 (b(z, s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[581, 2399])).
% 2.45/2.68 tff(2401,plain,
% 2.45/2.68 ($false),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2311, 213, 191, 2400, 2379, 2305])).
% 2.45/2.68 tff(2402,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.68 tff(2403,plain,
% 2.45/2.68 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2402, 2349, 2344, 2370, 2263, 14, 2368, 13, 10, 2145, 2346])).
% 2.45/2.68 tff(2404,plain,
% 2.45/2.68 ($false),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[1871, 2403, 2358])).
% 2.45/2.68 tff(2405,plain,((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.68 tff(2406,plain,
% 2.45/2.68 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2405, 6, 10, 13, 9, 2])).
% 2.45/2.68 tff(2407,plain,
% 2.45/2.68 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[189, 2406])).
% 2.45/2.68 tff(2408,plain,
% 2.45/2.68 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2366, 856, 1803, 2263])).
% 2.45/2.68 tff(2409,plain,
% 2.45/2.68 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[1042, 2408])).
% 2.45/2.68 tff(2410,assumption,(r(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 2.45/2.68 tff(2411,plain,
% 2.45/2.68 ($false),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2322, 76, 16, 6, 1028, 9, 2410])).
% 2.45/2.68 tff(2412,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.68 tff(2413,plain,
% 2.45/2.68 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2412, 2409, 6, 2145, 9])).
% 2.45/2.68 tff(2414,plain,
% 2.45/2.68 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[550, 110, 2413])).
% 2.45/2.68 tff(2415,plain,
% 2.45/2.68 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2414, 540])).
% 2.45/2.68 tff(2416,plain,
% 2.45/2.68 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2357, 2305, 856, 782])).
% 2.45/2.68 tff(2417,plain,
% 2.45/2.68 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[1871, 2416])).
% 2.45/2.68 tff(2418,plain,
% 2.45/2.68 (~b(s(s(s(s(z)))), s(z))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[2143, 6, 13, 10, 782, 281, 3])).
% 2.45/2.68 tff(2419,plain,
% 2.45/2.68 (r(s(s(s(s(z)))), s(z))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[115, 2418])).
% 2.45/2.68 tff(2420,plain,
% 2.45/2.68 (~b(z, s(z))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[864, 8, 3, 7, 856])).
% 2.45/2.68 tff(2421,plain,
% 2.45/2.68 (r(z, s(z))),
% 2.45/2.68 inference(unit_resolution,[status(thm)],[370, 2420])).
% 2.45/2.68 tff(2422,plain,
% 2.45/2.68 (((~![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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2423,plain,
% 2.45/2.69 (((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2424,plain,
% 2.45/2.69 (((~![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(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))))),
% 2.45/2.69 inference(monotonicity,[status(thm)],[2423])).
% 2.45/2.69 tff(2425,plain,
% 2.45/2.69 (((~![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(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(transitivity,[status(thm)],[2424, 2422])).
% 2.45/2.69 tff(2426,plain,
% 2.45/2.69 ((~![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(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(quant_inst,[status(thm)],[])).
% 2.45/2.69 tff(2427,plain,
% 2.45/2.69 ((~![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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.69 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 2.45/2.69 tff(2428,plain,
% 2.45/2.69 (~r(z, s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2427, 76, 2421, 10, 2419, 2417])).
% 2.45/2.69 tff(2429,plain,
% 2.45/2.69 (b(z, s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[581, 2428])).
% 2.45/2.69 tff(2430,plain,
% 2.45/2.69 (~b(z, s(z))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1454, 155, 13, 281, 16, 782, 717])).
% 2.45/2.69 tff(2431,plain,
% 2.45/2.69 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1432, 717, 782, 281])).
% 2.45/2.69 tff(2432,plain,
% 2.45/2.69 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[338, 2431])).
% 2.45/2.69 tff(2433,plain,
% 2.45/2.69 (((~![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(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2434,plain,
% 2.45/2.69 (((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(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(s(s(s(z)))))))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2435,plain,
% 2.45/2.69 (((~![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(z)))), s(z))) | (~r(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, 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(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.45/2.69 inference(monotonicity,[status(thm)],[2434])).
% 2.45/2.69 tff(2436,plain,
% 2.45/2.69 (((~![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(z)))), s(z))) | (~r(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, 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(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.69 inference(transitivity,[status(thm)],[2435, 2433])).
% 2.45/2.69 tff(2437,plain,
% 2.45/2.69 ((~![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(z)))), s(z))) | (~r(s(s(s(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(s(s(s(z))))))))))))),
% 2.45/2.69 inference(quant_inst,[status(thm)],[])).
% 2.45/2.69 tff(2438,plain,
% 2.45/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.45/2.69 inference(modus_ponens,[status(thm)],[2437, 2436])).
% 2.45/2.69 tff(2439,plain,
% 2.45/2.69 ($false),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2438, 76, 350, 16, 155, 689, 13])).
% 2.45/2.69 tff(2440,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.69 tff(2441,plain,
% 2.45/2.69 (~r(z, s(z))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2440, 155, 13, 16, 2432])).
% 2.45/2.69 tff(2442,plain,
% 2.45/2.69 ($false),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[370, 2441, 2430])).
% 2.45/2.69 tff(2443,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.69 tff(2444,plain,
% 2.45/2.69 (~r(s(s(s(s(z)))), z)),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2443, 2161, 2419, 281, 782, 13])).
% 2.45/2.69 tff(2445,plain,
% 2.45/2.69 (b(s(s(s(s(z)))), z)),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[170, 2444])).
% 2.45/2.69 tff(2446,plain,
% 2.45/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2447,plain,
% 2.45/2.69 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2448,plain,
% 2.45/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.45/2.69 inference(monotonicity,[status(thm)],[2447])).
% 2.45/2.69 tff(2449,plain,
% 2.45/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.45/2.69 inference(transitivity,[status(thm)],[2448, 2446])).
% 2.45/2.69 tff(2450,plain,
% 2.45/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)))),
% 2.45/2.69 inference(quant_inst,[status(thm)],[])).
% 2.45/2.69 tff(2451,plain,
% 2.45/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.45/2.69 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 2.45/2.69 tff(2452,plain,
% 2.45/2.69 ($false),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2451, 213, 2445, 2429, 856, 8, 2305])).
% 2.45/2.69 tff(2453,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.69 tff(2454,plain,
% 2.45/2.69 (~b(s(s(s(z))), s(z))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2453, 856, 2415, 10, 2133, 1120, 13, 6, 1803, 2407])).
% 2.45/2.69 tff(2455,plain,
% 2.45/2.69 (r(s(s(s(z))), s(z))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[535, 2454])).
% 2.45/2.69 tff(2456,plain,
% 2.45/2.69 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2357, 2415, 856, 1120])).
% 2.45/2.69 tff(2457,plain,
% 2.45/2.69 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1871, 2456])).
% 2.45/2.69 tff(2458,plain,
% 2.45/2.69 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[992, 76, 2, 10, 2457])).
% 2.45/2.69 tff(2459,plain,
% 2.45/2.69 (~r(s(s(s(z))), z)),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2458, 2455])).
% 2.45/2.69 tff(2460,plain,
% 2.45/2.69 (b(s(s(s(z))), z)),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2303, 2459])).
% 2.45/2.69 tff(2461,plain,
% 2.45/2.69 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1949, 2460, 2263, 2407])).
% 2.45/2.69 tff(2462,plain,
% 2.45/2.69 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[233, 2461])).
% 2.45/2.69 tff(2463,plain,
% 2.45/2.69 (~r(s(s(s(s(z)))), z)),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1960, 2462, 2, 6, 2145])).
% 2.45/2.69 tff(2464,plain,
% 2.45/2.69 (b(s(s(s(s(z)))), z)),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[170, 2463])).
% 2.45/2.69 tff(2465,plain,
% 2.45/2.69 ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2385, 76, 10, 2409, 2457])).
% 2.45/2.69 tff(2466,plain,
% 2.45/2.69 (~r(z, s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2465, 2462])).
% 2.45/2.69 tff(2467,plain,
% 2.45/2.69 (b(z, s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[581, 2466])).
% 2.45/2.69 tff(2468,plain,
% 2.45/2.69 ($false),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2313, 2467, 2464, 2460, 2415])).
% 2.45/2.69 tff(2469,plain,((~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.69 tff(2470,plain,
% 2.45/2.69 (~b(s(z), s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2469, 6, 2, 10, 13, 9])).
% 2.45/2.69 tff(2471,plain,
% 2.45/2.69 (r(s(z), s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[564, 2470])).
% 2.45/2.69 tff(2472,plain,
% 2.45/2.69 (((~![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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2473,plain,
% 2.45/2.69 (((~r(s(z), s(s(s(z))))) | (~r(z, 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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2474,plain,
% 2.45/2.69 (((~![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(z))))) | (~r(z, 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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.45/2.69 inference(monotonicity,[status(thm)],[2473])).
% 2.45/2.69 tff(2475,plain,
% 2.45/2.69 (((~![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(z))))) | (~r(z, 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(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(transitivity,[status(thm)],[2474, 2472])).
% 2.45/2.69 tff(2476,plain,
% 2.45/2.69 ((~![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(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))),
% 2.45/2.69 inference(quant_inst,[status(thm)],[])).
% 2.45/2.69 tff(2477,plain,
% 2.45/2.69 ((~![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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.69 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 2.45/2.69 tff(2478,plain,
% 2.45/2.69 (~r(z, s(z))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2477, 76, 10, 16, 691, 1027])).
% 2.45/2.69 tff(2479,plain,
% 2.45/2.69 (b(z, s(z))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[370, 2478])).
% 2.45/2.69 tff(2480,plain,
% 2.45/2.69 (((~![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), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2481,plain,
% 2.45/2.69 (((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2482,plain,
% 2.45/2.69 (((~![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(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z)))))))),
% 2.45/2.69 inference(monotonicity,[status(thm)],[2481])).
% 2.45/2.69 tff(2483,plain,
% 2.45/2.69 (((~![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(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))),
% 2.45/2.69 inference(transitivity,[status(thm)],[2482, 2480])).
% 2.45/2.69 tff(2484,plain,
% 2.45/2.69 ((~![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(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.69 inference(quant_inst,[status(thm)],[])).
% 2.45/2.69 tff(2485,plain,
% 2.45/2.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z)))))),
% 2.45/2.69 inference(modus_ponens,[status(thm)],[2484, 2483])).
% 2.45/2.69 tff(2486,plain,
% 2.45/2.69 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2485, 76, 2, 691, 1027, 13])).
% 2.45/2.69 tff(2487,plain,
% 2.45/2.69 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[279, 2486])).
% 2.45/2.69 tff(2488,plain,
% 2.45/2.69 ($false),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[379, 2487, 2479, 3, 281, 7])).
% 2.45/2.69 tff(2489,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.69 tff(2490,plain,
% 2.45/2.69 (~r(z, s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2489, 2133, 1803, 2407, 2, 2471, 13, 10, 2145])).
% 2.45/2.69 tff(2491,plain,
% 2.45/2.69 (b(z, s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[581, 2490])).
% 2.45/2.69 tff(2492,plain,
% 2.45/2.69 ($false),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1644, 213, 506, 1507, 1065, 7])).
% 2.45/2.69 tff(2493,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.69 tff(2494,plain,
% 2.45/2.69 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2493, 2263, 2491, 2407])).
% 2.45/2.69 tff(2495,plain,
% 2.45/2.69 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1042, 2494])).
% 2.45/2.69 tff(2496,plain,
% 2.45/2.69 (~r(s(s(s(z))), z)),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2298, 2495, 2, 2471, 9])).
% 2.45/2.69 tff(2497,plain,
% 2.45/2.69 (b(s(s(s(z))), z)),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2303, 2496])).
% 2.45/2.69 tff(2498,plain,
% 2.45/2.69 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1036, 2495, 9, 2, 2471])).
% 2.45/2.69 tff(2499,plain,
% 2.45/2.69 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[233, 2498])).
% 2.45/2.69 tff(2500,plain,
% 2.45/2.69 ($false),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[1949, 2499, 2497, 2263, 2407])).
% 2.45/2.69 tff(2501,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.45/2.69 tff(2502,plain,
% 2.45/2.69 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[2501, 13, 2, 9, 10])).
% 2.45/2.69 tff(2503,plain,
% 2.45/2.69 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[153, 2502])).
% 2.45/2.69 tff(2504,plain,
% 2.45/2.69 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[790, 2503, 1120, 1803])).
% 2.45/2.69 tff(2505,plain,
% 2.45/2.69 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.45/2.69 inference(unit_resolution,[status(thm)],[250, 2504])).
% 2.45/2.69 tff(2506,plain,
% 2.45/2.69 (((~![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(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2507,plain,
% 2.45/2.69 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.69 inference(rewrite,[status(thm)],[])).
% 2.45/2.69 tff(2508,plain,
% 2.45/2.69 (((~![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(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.45/2.69 inference(monotonicity,[status(thm)],[2507])).
% 2.45/2.69 tff(2509,plain,
% 2.45/2.69 (((~![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(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.69 inference(transitivity,[status(thm)],[2508, 2506])).
% 2.45/2.69 tff(2510,plain,
% 2.45/2.69 ((~![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(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.45/2.69 inference(quant_inst,[status(thm)],[])).
% 2.45/2.69 tff(2511,plain,
% 2.45/2.69 ((~![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(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.70 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 2.55/2.70 tff(2512,plain,
% 2.55/2.70 ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2511, 76, 10, 2505, 13])).
% 2.55/2.70 tff(2513,plain,
% 2.55/2.70 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2512, 14])).
% 2.55/2.70 tff(2514,plain,
% 2.55/2.70 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[436, 2513])).
% 2.55/2.70 tff(2515,plain,
% 2.55/2.70 (~r(s(s(s(s(z)))), z)),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[1132, 14, 10, 2505])).
% 2.55/2.70 tff(2516,plain,
% 2.55/2.70 (b(s(s(s(s(z)))), z)),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[170, 2515])).
% 2.55/2.70 tff(2517,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.70 inference(rewrite,[status(thm)],[])).
% 2.55/2.70 tff(2518,plain,
% 2.55/2.70 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.70 inference(rewrite,[status(thm)],[])).
% 2.55/2.70 tff(2519,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.55/2.70 inference(monotonicity,[status(thm)],[2518])).
% 2.55/2.70 tff(2520,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.70 inference(transitivity,[status(thm)],[2519, 2517])).
% 2.55/2.70 tff(2521,plain,
% 2.55/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))),
% 2.55/2.70 inference(quant_inst,[status(thm)],[])).
% 2.55/2.70 tff(2522,plain,
% 2.55/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.70 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 2.55/2.70 tff(2523,plain,
% 2.55/2.70 ($false),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2522, 213, 191, 203, 467, 831, 202])).
% 2.55/2.70 tff(2524,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.70 tff(2525,plain,
% 2.55/2.70 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2524, 2516, 2503, 2514, 2285])).
% 2.55/2.70 tff(2526,plain,
% 2.55/2.70 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[484, 2525])).
% 2.55/2.70 tff(2527,plain,
% 2.55/2.70 ($false),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2338, 76, 2, 14, 252, 598, 9])).
% 2.55/2.70 tff(2528,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.70 tff(2529,plain,
% 2.55/2.70 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2528, 2526, 14, 2, 9])).
% 2.55/2.70 tff(2530,plain,
% 2.55/2.70 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[279, 2529])).
% 2.55/2.70 tff(2531,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), 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(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.55/2.70 inference(rewrite,[status(thm)],[])).
% 2.55/2.70 tff(2532,plain,
% 2.55/2.70 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(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(s(z)))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.55/2.70 inference(rewrite,[status(thm)],[])).
% 2.55/2.70 tff(2533,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.55/2.70 inference(monotonicity,[status(thm)],[2532])).
% 2.55/2.70 tff(2534,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.55/2.70 inference(transitivity,[status(thm)],[2533, 2531])).
% 2.55/2.70 tff(2535,plain,
% 2.55/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(quant_inst,[status(thm)],[])).
% 2.55/2.70 tff(2536,plain,
% 2.55/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.55/2.70 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 2.55/2.70 tff(2537,plain,
% 2.55/2.70 ($false),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2536, 213, 782, 284, 3, 203])).
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% 2.55/2.70 tff(2539,plain,
% 2.55/2.70 (~b(s(s(s(s(z)))), s(z))),
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% 2.55/2.70 tff(2540,plain,
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% 2.55/2.70 inference(unit_resolution,[status(thm)],[115, 2539])).
% 2.55/2.70 tff(2541,plain,
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% 2.55/2.70 inference(unit_resolution,[status(thm)],[1540, 76, 2, 2540, 13])).
% 2.55/2.70 tff(2542,plain,
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% 2.55/2.70 tff(2543,plain,
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% 2.55/2.70 inference(unit_resolution,[status(thm)],[316, 2542])).
% 2.55/2.70 tff(2544,plain,
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% 2.55/2.70 inference(unit_resolution,[status(thm)],[1482, 1805, 9, 13, 2503, 2, 2540, 10])).
% 2.55/2.70 tff(2545,plain,
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% 2.55/2.70 tff(2546,plain,
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% 2.55/2.70 inference(unit_resolution,[status(thm)],[2511, 76, 10, 5, 13])).
% 2.55/2.70 tff(2547,plain,
% 2.55/2.70 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2546, 14])).
% 2.55/2.70 tff(2548,plain,
% 2.55/2.70 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[436, 2547])).
% 2.55/2.70 tff(2549,plain,
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% 2.55/2.70 tff(2550,plain,
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% 2.55/2.70 tff(2551,plain,
% 2.55/2.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
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% 2.55/2.70 tff(2552,plain,
% 2.55/2.70 (((~r(s(s(s(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(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(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(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.70 inference(rewrite,[status(thm)],[])).
% 2.55/2.70 tff(2553,plain,
% 2.55/2.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(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(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.55/2.70 inference(monotonicity,[status(thm)],[2552])).
% 2.55/2.70 tff(2554,plain,
% 2.55/2.70 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(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(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.70 inference(transitivity,[status(thm)],[2553, 2551])).
% 2.55/2.70 tff(2555,plain,
% 2.55/2.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(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(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.55/2.70 inference(quant_inst,[status(thm)],[])).
% 2.55/2.70 tff(2556,plain,
% 2.55/2.70 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.70 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 2.55/2.70 tff(2557,plain,
% 2.55/2.70 ($false),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2556, 76, 16, 706, 252, 689])).
% 2.55/2.70 tff(2558,plain,((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.70 tff(2559,plain,
% 2.55/2.70 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2558, 2550, 16, 706])).
% 2.55/2.70 tff(2560,plain,
% 2.55/2.70 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[279, 2559])).
% 2.55/2.70 tff(2561,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.70 inference(rewrite,[status(thm)],[])).
% 2.55/2.70 tff(2562,plain,
% 2.55/2.70 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.70 inference(rewrite,[status(thm)],[])).
% 2.55/2.70 tff(2563,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.55/2.70 inference(monotonicity,[status(thm)],[2562])).
% 2.55/2.70 tff(2564,plain,
% 2.55/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.70 inference(transitivity,[status(thm)],[2563, 2561])).
% 2.55/2.70 tff(2565,plain,
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% 2.55/2.70 inference(quant_inst,[status(thm)],[])).
% 2.55/2.70 tff(2566,plain,
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% 2.55/2.70 inference(modus_ponens,[status(thm)],[2565, 2564])).
% 2.55/2.70 tff(2567,plain,
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% 2.55/2.70 inference(unit_resolution,[status(thm)],[2566, 213, 3, 2560, 1915, 2548])).
% 2.55/2.70 tff(2568,plain,((~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.70 tff(2569,plain,
% 2.55/2.70 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2568, 706, 1803, 9, 13, 2540, 2503, 2543, 10, 2505])).
% 2.55/2.70 tff(2570,plain,
% 2.55/2.70 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[189, 2569])).
% 2.55/2.70 tff(2571,plain,
% 2.55/2.70 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[221, 2570, 2503, 2545])).
% 2.55/2.70 tff(2572,plain,
% 2.55/2.70 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[233, 2571])).
% 2.55/2.70 tff(2573,plain,
% 2.55/2.70 ($false),
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% 2.55/2.70 tff(2574,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.70 tff(2575,plain,
% 2.55/2.70 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[2574, 2572, 2, 706, 13])).
% 2.55/2.70 tff(2576,plain,
% 2.55/2.70 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.70 inference(unit_resolution,[status(thm)],[484, 2575])).
% 2.55/2.70 tff(2577,plain,
% 2.55/2.71 (~b(s(s(s(z))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[864, 856, 3, 1, 7])).
% 2.55/2.71 tff(2578,plain,
% 2.55/2.71 (r(s(s(s(z))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[535, 2577])).
% 2.55/2.71 tff(2579,plain,
% 2.55/2.71 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1013, 76, 2, 11, 738])).
% 2.55/2.71 tff(2580,plain,
% 2.55/2.71 (~r(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2579, 2578])).
% 2.55/2.71 tff(2581,plain,
% 2.55/2.71 (b(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2303, 2580])).
% 2.55/2.71 tff(2582,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1003, 213, 1, 1065, 856, 2581])).
% 2.55/2.71 tff(2583,plain,((~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2584,plain,
% 2.55/2.71 (~b(s(z), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2583, 1494, 1, 2, 11, 738, 3, 7])).
% 2.55/2.71 tff(2585,plain,
% 2.55/2.71 (r(s(z), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[564, 2584])).
% 2.55/2.71 tff(2586,plain,
% 2.55/2.71 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1992, 2585, 11, 9])).
% 2.55/2.71 tff(2587,plain,
% 2.55/2.71 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1042, 2586])).
% 2.55/2.71 tff(2588,plain,
% 2.55/2.71 (~b(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1515, 2587, 7, 1494])).
% 2.55/2.71 tff(2589,plain,
% 2.55/2.71 (r(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2303, 2588])).
% 2.55/2.71 tff(2590,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1523, 76, 2, 738, 2585, 9, 2589])).
% 2.55/2.71 tff(2591,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2592,plain,
% 2.55/2.71 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2591, 2572, 2, 9, 2570, 1805, 1803, 10, 2505])).
% 2.55/2.71 tff(2593,plain,
% 2.55/2.71 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[596, 2592])).
% 2.55/2.71 tff(2594,plain,
% 2.55/2.71 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1553, 2576, 2503, 2543, 2593])).
% 2.55/2.71 tff(2595,plain,
% 2.55/2.71 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1042, 2594])).
% 2.55/2.71 tff(2596,plain,
% 2.55/2.71 (~r(s(z), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1036, 2595, 9, 2, 2572])).
% 2.55/2.71 tff(2597,plain,
% 2.55/2.71 (b(s(z), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[564, 2596])).
% 2.55/2.71 tff(2598,plain,
% 2.55/2.71 (~b(s(s(s(z))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[864, 2597, 1803, 1805, 2570])).
% 2.55/2.71 tff(2599,plain,
% 2.55/2.71 (r(s(s(s(z))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[535, 2598])).
% 2.55/2.71 tff(2600,plain,
% 2.55/2.71 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2093, 76, 2, 706, 2599, 13])).
% 2.55/2.71 tff(2601,plain,
% 2.55/2.71 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[653, 2600])).
% 2.55/2.71 tff(2602,plain,
% 2.55/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.55/2.71 inference(rewrite,[status(thm)],[])).
% 2.55/2.71 tff(2603,plain,
% 2.55/2.71 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.55/2.71 inference(rewrite,[status(thm)],[])).
% 2.55/2.71 tff(2604,plain,
% 2.55/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.55/2.71 inference(monotonicity,[status(thm)],[2603])).
% 2.55/2.71 tff(2605,plain,
% 2.55/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.55/2.71 inference(transitivity,[status(thm)],[2604, 2602])).
% 2.55/2.71 tff(2606,plain,
% 2.55/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.55/2.71 inference(quant_inst,[status(thm)],[])).
% 2.55/2.71 tff(2607,plain,
% 2.55/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.55/2.71 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 2.55/2.71 tff(2608,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2607, 213, 782, 506, 3, 868, 467, 717, 2350])).
% 2.55/2.71 tff(2609,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2610,plain,
% 2.55/2.71 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2609, 2593, 1120, 1803, 2601, 2576, 2543])).
% 2.55/2.71 tff(2611,plain,
% 2.55/2.71 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1871, 2610])).
% 2.55/2.71 tff(2612,plain,
% 2.55/2.71 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2376, 76, 10, 2540, 2599])).
% 2.55/2.71 tff(2613,plain,
% 2.55/2.71 (~r(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2612, 2611])).
% 2.55/2.71 tff(2614,plain,
% 2.55/2.71 (b(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2303, 2613])).
% 2.55/2.71 tff(2615,plain,
% 2.55/2.71 (~r(z, s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2385, 76, 10, 2572, 2595, 2611])).
% 2.55/2.71 tff(2616,plain,
% 2.55/2.71 (b(z, s(s(s(z))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[581, 2615])).
% 2.55/2.71 tff(2617,plain,
% 2.55/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.71 inference(rewrite,[status(thm)],[])).
% 2.55/2.71 tff(2618,plain,
% 2.55/2.71 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(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(s(z)))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.71 inference(rewrite,[status(thm)],[])).
% 2.55/2.71 tff(2619,plain,
% 2.55/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.55/2.71 inference(monotonicity,[status(thm)],[2618])).
% 2.55/2.71 tff(2620,plain,
% 2.55/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.71 inference(transitivity,[status(thm)],[2619, 2617])).
% 2.55/2.71 tff(2621,plain,
% 2.55/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(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(s(z))))))))))),
% 2.55/2.71 inference(quant_inst,[status(thm)],[])).
% 2.55/2.71 tff(2622,plain,
% 2.55/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.55/2.71 inference(modus_ponens,[status(thm)],[2621, 2620])).
% 2.55/2.71 tff(2623,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2622, 213, 2545, 2616, 2570, 2503, 2614])).
% 2.55/2.71 tff(2624,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2625,plain,
% 2.55/2.71 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2624, 13, 2, 10, 9])).
% 2.55/2.71 tff(2626,plain,
% 2.55/2.71 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[610, 2625])).
% 2.55/2.71 tff(2627,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[443, 213, 2626, 1803, 2530, 2514])).
% 2.55/2.71 tff(2628,plain,((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2629,plain,
% 2.55/2.71 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2628, 13, 9, 10, 2])).
% 2.55/2.71 tff(2630,plain,
% 2.55/2.71 (b(s(s(s(s(s(s(s(z))))))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[189, 2629])).
% 2.55/2.71 tff(2631,plain,
% 2.55/2.71 (~r(z, s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1420, 2630, 2, 2503, 2540, 10, 2505, 9])).
% 2.55/2.71 tff(2632,plain,
% 2.55/2.71 (b(z, s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[370, 2631])).
% 2.55/2.71 tff(2633,plain,
% 2.55/2.71 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[379, 2632, 1803, 2626, 2630])).
% 2.55/2.71 tff(2634,plain,
% 2.55/2.71 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[279, 2633])).
% 2.55/2.71 tff(2635,plain,
% 2.55/2.71 (~r(s(s(s(s(z)))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1482, 2632, 9, 13, 2503, 2, 2540, 10])).
% 2.55/2.71 tff(2636,plain,
% 2.55/2.71 (b(s(s(s(s(z)))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[170, 2635])).
% 2.55/2.71 tff(2637,plain,
% 2.55/2.71 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[221, 2636, 2503, 2630])).
% 2.55/2.71 tff(2638,plain,
% 2.55/2.71 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[233, 2637])).
% 2.55/2.71 tff(2639,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[744, 76, 2, 2638, 2634, 9, 13])).
% 2.55/2.71 tff(2640,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2641,plain,
% 2.55/2.71 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2640, 2, 9, 10])).
% 2.55/2.71 tff(2642,plain,
% 2.55/2.71 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[627, 2641])).
% 2.55/2.71 tff(2643,plain,
% 2.55/2.71 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2076, 76, 6, 9, 12, 2410])).
% 2.55/2.71 tff(2644,plain,
% 2.55/2.71 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[115, 2643])).
% 2.55/2.71 tff(2645,plain,
% 2.55/2.71 (~r(s(z), s(s(s(s(z)))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[125, 6, 10, 2, 9])).
% 2.55/2.71 tff(2646,plain,
% 2.55/2.71 (b(s(z), s(s(s(s(z)))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[796, 2645])).
% 2.55/2.71 tff(2647,plain,
% 2.55/2.71 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2214, 12, 7, 9, 2, 2646, 6, 11])).
% 2.55/2.71 tff(2648,plain,
% 2.55/2.71 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[115, 2647])).
% 2.55/2.71 tff(2649,plain,
% 2.55/2.71 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[682, 12, 9, 11])).
% 2.55/2.71 tff(2650,plain,
% 2.55/2.71 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[450, 2649])).
% 2.55/2.71 tff(2651,plain,
% 2.55/2.71 (~b(z, s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1825, 2650, 10, 2648, 2646])).
% 2.55/2.71 tff(2652,plain,
% 2.55/2.71 (r(z, s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[370, 2651])).
% 2.55/2.71 tff(2653,plain,
% 2.55/2.71 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.71 inference(rewrite,[status(thm)],[])).
% 2.55/2.71 tff(2654,plain,
% 2.55/2.71 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.71 inference(rewrite,[status(thm)],[])).
% 2.55/2.71 tff(2655,plain,
% 2.55/2.71 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(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(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))))),
% 2.55/2.71 inference(monotonicity,[status(thm)],[2654])).
% 2.55/2.71 tff(2656,plain,
% 2.55/2.71 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(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(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.71 inference(transitivity,[status(thm)],[2655, 2653])).
% 2.55/2.71 tff(2657,plain,
% 2.55/2.71 ((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z)))),
% 2.55/2.71 inference(quant_inst,[status(thm)],[])).
% 2.55/2.71 tff(2658,plain,
% 2.55/2.71 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))),
% 2.55/2.71 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 2.55/2.71 tff(2659,plain,
% 2.55/2.71 (~r(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2658, 76, 2652, 11, 9, 12])).
% 2.55/2.71 tff(2660,plain,
% 2.55/2.71 (b(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2303, 2659])).
% 2.55/2.71 tff(2661,plain,
% 2.55/2.71 (~r(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1349, 76, 10, 11, 6, 1556])).
% 2.55/2.71 tff(2662,plain,
% 2.55/2.71 (b(s(s(s(z))), z)),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2303, 2661])).
% 2.55/2.71 tff(2663,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1867, 76, 11, 6, 5, 1556])).
% 2.55/2.71 tff(2664,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2665,plain,
% 2.55/2.71 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2664, 1556, 6, 11])).
% 2.55/2.71 tff(2666,plain,
% 2.55/2.71 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[250, 2665])).
% 2.55/2.71 tff(2667,plain,
% 2.55/2.71 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2214, 12, 7, 9, 2, 782, 6, 11])).
% 2.55/2.71 tff(2668,plain,
% 2.55/2.71 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[115, 2667])).
% 2.55/2.71 tff(2669,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[1813, 213, 782, 2668, 2650, 468])).
% 2.55/2.71 tff(2670,plain,((~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2671,plain,
% 2.55/2.71 (~r(s(s(s(z))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[2670, 2666, 2646, 7, 9, 2, 6, 11])).
% 2.55/2.71 tff(2672,plain,
% 2.55/2.71 (b(s(s(s(z))), s(z))),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[535, 2671])).
% 2.55/2.71 tff(2673,assumption,(s(s(s(s(z)))) = s(s(s(z)))), introduced(assumption)).
% 2.55/2.71 tff(2674,plain,
% 2.55/2.71 (s(s(s(z))) = s(s(s(s(z))))),
% 2.55/2.71 inference(symmetry,[status(thm)],[2673])).
% 2.55/2.71 tff(2675,plain,
% 2.55/2.71 ($false),
% 2.55/2.71 inference(unit_resolution,[status(thm)],[505, 2674])).
% 2.55/2.71 tff(2676,plain,(~(s(s(s(s(z)))) = s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.71 tff(2677,plain,
% 2.55/2.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.71 inference(rewrite,[status(thm)],[])).
% 2.55/2.71 tff(2678,plain,
% 2.55/2.71 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.71 inference(rewrite,[status(thm)],[])).
% 2.55/2.71 tff(2679,plain,
% 2.55/2.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.55/2.71 inference(monotonicity,[status(thm)],[2678])).
% 2.55/2.71 tff(2680,plain,
% 2.55/2.71 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.72 inference(transitivity,[status(thm)],[2679, 2677])).
% 2.55/2.72 tff(2681,plain,
% 2.55/2.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.72 inference(quant_inst,[status(thm)],[])).
% 2.55/2.72 tff(2682,plain,
% 2.55/2.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.55/2.72 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 2.55/2.72 tff(2683,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2682, 76, 11, 6, 1028, 2410])).
% 2.55/2.72 tff(2684,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2685,plain,
% 2.55/2.72 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2684, 2410, 11, 6])).
% 2.55/2.72 tff(2686,plain,
% 2.55/2.72 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1042, 2685])).
% 2.55/2.72 tff(2687,plain,
% 2.55/2.72 (~b(z, s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1515, 2686, 7, 2662])).
% 2.55/2.72 tff(2688,plain,
% 2.55/2.72 (r(z, s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[581, 2687])).
% 2.55/2.72 tff(2689,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[571, 76, 10, 2688, 2410, 1556])).
% 2.55/2.72 tff(2690,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2691,plain,
% 2.55/2.72 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2690, 1556, 10, 7, 11, 6])).
% 2.55/2.72 tff(2692,plain,
% 2.55/2.72 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[550, 110, 2691, 2676])).
% 2.55/2.72 tff(2693,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2694,plain,
% 2.55/2.72 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2695,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.55/2.72 inference(monotonicity,[status(thm)],[2694])).
% 2.55/2.72 tff(2696,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(transitivity,[status(thm)],[2695, 2693])).
% 2.55/2.72 tff(2697,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))))),
% 2.55/2.72 inference(quant_inst,[status(thm)],[])).
% 2.55/2.72 tff(2698,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.72 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 2.55/2.72 tff(2699,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2698, 213, 782, 856, 8, 2305])).
% 2.55/2.72 tff(2700,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2701,plain,
% 2.55/2.72 (~b(s(z), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2700, 2692, 2646, 2672])).
% 2.55/2.72 tff(2702,plain,
% 2.55/2.72 (r(s(z), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[564, 2701])).
% 2.55/2.72 tff(2703,plain,
% 2.55/2.72 (~r(z, s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1077, 2702, 2, 11, 9])).
% 2.55/2.72 tff(2704,plain,
% 2.55/2.72 (b(z, s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[581, 2703])).
% 2.55/2.72 tff(2705,plain,
% 2.55/2.72 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1992, 2702, 9, 11])).
% 2.55/2.72 tff(2706,plain,
% 2.55/2.72 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1042, 2705])).
% 2.55/2.72 tff(2707,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1515, 2706, 2704, 7, 2662])).
% 2.55/2.72 tff(2708,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2709,plain,
% 2.55/2.72 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2708, 11, 9, 7, 2, 10, 6])).
% 2.55/2.72 tff(2710,plain,
% 2.55/2.72 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1871, 2709])).
% 2.55/2.72 tff(2711,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2712,plain,
% 2.55/2.72 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2713,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))))),
% 2.55/2.72 inference(monotonicity,[status(thm)],[2712])).
% 2.55/2.72 tff(2714,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.55/2.72 inference(transitivity,[status(thm)],[2713, 2711])).
% 2.55/2.72 tff(2715,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.55/2.72 inference(quant_inst,[status(thm)],[])).
% 2.55/2.72 tff(2716,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))),
% 2.55/2.72 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 2.55/2.72 tff(2717,plain,
% 2.55/2.72 (~b(s(z), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2716, 213, 2646, 2648, 2710])).
% 2.55/2.72 tff(2718,plain,
% 2.55/2.72 (r(s(z), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[564, 2717])).
% 2.55/2.72 tff(2719,plain,
% 2.55/2.72 (~r(z, s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1077, 2718, 2, 11, 9])).
% 2.55/2.72 tff(2720,plain,
% 2.55/2.72 (b(z, s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[581, 2719])).
% 2.55/2.72 tff(2721,plain,
% 2.55/2.72 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1992, 2718, 9, 11])).
% 2.55/2.72 tff(2722,plain,
% 2.55/2.72 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1042, 2721])).
% 2.55/2.72 tff(2723,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1515, 2722, 2720, 7, 2660])).
% 2.55/2.72 tff(2724,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2725,plain,
% 2.55/2.72 (~r(s(s(s(z))), s(z))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2724, 11, 9, 7, 2, 10, 6])).
% 2.55/2.72 tff(2726,plain,
% 2.55/2.72 (b(s(s(s(z))), s(z))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[535, 2725])).
% 2.55/2.72 tff(2727,plain,
% 2.55/2.72 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2728,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 2.55/2.72 inference(monotonicity,[status(thm)],[2727])).
% 2.55/2.72 tff(2729,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(transitivity,[status(thm)],[2728, 1336])).
% 2.55/2.72 tff(2730,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(quant_inst,[status(thm)],[])).
% 2.55/2.72 tff(2731,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.72 inference(modus_ponens,[status(thm)],[2730, 2729])).
% 2.55/2.72 tff(2732,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2731, 213, 782, 284, 8, 2350])).
% 2.55/2.72 tff(2733,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2734,plain,
% 2.55/2.72 (~b(s(s(s(s(z)))), s(z))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2733, 2726, 2646, 2710])).
% 2.55/2.72 tff(2735,plain,
% 2.55/2.72 (r(s(s(s(s(z)))), s(z))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[115, 2734])).
% 2.55/2.72 tff(2736,plain,
% 2.55/2.72 (~r(s(z), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2235, 2735, 10, 7, 6, 11, 9, 2])).
% 2.55/2.72 tff(2737,plain,
% 2.55/2.72 (b(s(z), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[564, 2736])).
% 2.55/2.72 tff(2738,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2739,plain,
% 2.55/2.72 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2740,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 2.55/2.72 inference(monotonicity,[status(thm)],[2739])).
% 2.55/2.72 tff(2741,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(transitivity,[status(thm)],[2740, 2738])).
% 2.55/2.72 tff(2742,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(quant_inst,[status(thm)],[])).
% 2.55/2.72 tff(2743,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.72 inference(modus_ponens,[status(thm)],[2742, 2741])).
% 2.55/2.72 tff(2744,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2743, 213, 782, 8, 2305, 2350])).
% 2.55/2.72 tff(2745,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2746,plain,
% 2.55/2.72 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2745, 2726, 2710, 2646])).
% 2.55/2.72 tff(2747,assumption,(~r(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 2.55/2.72 tff(2748,assumption,(~b(s(s(s(s(z)))), s(s(s(z))))), introduced(assumption)).
% 2.55/2.72 tff(2749,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[550, 110, 2748, 2747, 2676])).
% 2.55/2.72 tff(2750,plain,(r(s(s(s(s(z)))), s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2751,plain,
% 2.55/2.72 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2750, 2746])).
% 2.55/2.72 tff(2752,plain,
% 2.55/2.72 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2684, 2751, 11, 6])).
% 2.55/2.72 tff(2753,plain,
% 2.55/2.72 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[1042, 2752])).
% 2.55/2.72 tff(2754,plain,
% 2.55/2.72 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[84, 2735, 9, 6])).
% 2.55/2.72 tff(2755,plain,
% 2.55/2.72 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[450, 2754])).
% 2.55/2.72 tff(2756,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2757,plain,
% 2.55/2.72 (((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2758,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.55/2.72 inference(monotonicity,[status(thm)],[2757])).
% 2.55/2.72 tff(2759,plain,
% 2.55/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(transitivity,[status(thm)],[2758, 2756])).
% 2.55/2.72 tff(2760,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.55/2.72 inference(quant_inst,[status(thm)],[])).
% 2.55/2.72 tff(2761,plain,
% 2.55/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.72 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 2.55/2.72 tff(2762,plain,
% 2.55/2.72 ($false),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2761, 213, 2755, 2753, 2737, 2726])).
% 2.55/2.72 tff(2763,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.72 tff(2764,plain,
% 2.55/2.72 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2763, 6, 7, 10, 9, 2])).
% 2.55/2.72 tff(2765,plain,
% 2.55/2.72 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[596, 2764])).
% 2.55/2.72 tff(2766,plain,
% 2.55/2.72 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[2412, 1028, 9, 2410, 6])).
% 2.55/2.72 tff(2767,plain,
% 2.55/2.72 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.72 inference(unit_resolution,[status(thm)],[115, 2766])).
% 2.55/2.72 tff(2768,plain,
% 2.55/2.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.72 inference(rewrite,[status(thm)],[])).
% 2.55/2.72 tff(2769,plain,
% 2.55/2.72 (((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))) <=> ((~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2770,plain,
% 2.55/2.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))))),
% 2.55/2.73 inference(monotonicity,[status(thm)],[2769])).
% 2.55/2.73 tff(2771,plain,
% 2.55/2.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.73 inference(transitivity,[status(thm)],[2770, 2768])).
% 2.55/2.73 tff(2772,plain,
% 2.55/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.73 inference(quant_inst,[status(thm)],[])).
% 2.55/2.73 tff(2773,plain,
% 2.55/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))),
% 2.55/2.73 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 2.55/2.73 tff(2774,plain,
% 2.55/2.73 ($false),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2773, 76, 2, 350, 12, 2296])).
% 2.55/2.73 tff(2775,plain,((~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.73 tff(2776,plain,
% 2.55/2.73 (~r(z, s(z))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2775, 2296, 12, 2])).
% 2.55/2.73 tff(2777,plain,
% 2.55/2.73 (b(z, s(z))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[370, 2776])).
% 2.55/2.73 tff(2778,plain,
% 2.55/2.73 (~b(s(s(s(s(z)))), z)),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[1142, 2777, 284, 782])).
% 2.55/2.73 tff(2779,plain,
% 2.55/2.73 (r(s(s(s(s(z)))), z)),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[170, 2778])).
% 2.55/2.73 tff(2780,plain,
% 2.55/2.73 (((~![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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2781,plain,
% 2.55/2.73 (((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2782,plain,
% 2.55/2.73 (((~![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(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.55/2.73 inference(monotonicity,[status(thm)],[2781])).
% 2.55/2.73 tff(2783,plain,
% 2.55/2.73 (((~![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(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.73 inference(transitivity,[status(thm)],[2782, 2780])).
% 2.55/2.73 tff(2784,plain,
% 2.55/2.73 ((~![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(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.73 inference(quant_inst,[status(thm)],[])).
% 2.55/2.73 tff(2785,plain,
% 2.55/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.55/2.73 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 2.55/2.73 tff(2786,plain,
% 2.55/2.73 ($false),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2785, 76, 2779, 6, 1028, 2410, 2296])).
% 2.55/2.73 tff(2787,plain,((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.73 tff(2788,plain,
% 2.55/2.73 (~r(s(s(s(z))), z)),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2787, 1028, 6, 2410, 2767, 2646, 12, 2])).
% 2.55/2.73 tff(2789,plain,
% 2.55/2.73 (b(s(s(s(z))), z)),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2303, 2788])).
% 2.55/2.73 tff(2790,plain,
% 2.55/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2791,plain,
% 2.55/2.73 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2792,plain,
% 2.55/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.55/2.73 inference(monotonicity,[status(thm)],[2791])).
% 2.55/2.73 tff(2793,plain,
% 2.55/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.73 inference(transitivity,[status(thm)],[2792, 2790])).
% 2.55/2.73 tff(2794,plain,
% 2.55/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.73 inference(quant_inst,[status(thm)],[])).
% 2.55/2.73 tff(2795,plain,
% 2.55/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.55/2.73 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 2.55/2.73 tff(2796,plain,
% 2.55/2.73 ($false),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2795, 213, 506, 1065, 7, 1016])).
% 2.55/2.73 tff(2797,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.73 tff(2798,plain,
% 2.55/2.73 (~b(z, s(s(s(z))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2797, 2789, 7, 2765])).
% 2.55/2.73 tff(2799,plain,
% 2.55/2.73 (r(z, s(s(s(z))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[581, 2798])).
% 2.55/2.73 tff(2800,plain,
% 2.55/2.73 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[1949, 2789, 7, 2765])).
% 2.55/2.73 tff(2801,plain,
% 2.55/2.73 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[233, 2800])).
% 2.55/2.73 tff(2802,plain,
% 2.55/2.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2803,plain,
% 2.55/2.73 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(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(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2804,plain,
% 2.55/2.73 (((~![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(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.55/2.73 inference(monotonicity,[status(thm)],[2803])).
% 2.55/2.73 tff(2805,plain,
% 2.55/2.73 (((~![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(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(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(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.73 inference(transitivity,[status(thm)],[2804, 2802])).
% 2.55/2.73 tff(2806,plain,
% 2.55/2.73 ((~![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(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))))),
% 2.55/2.73 inference(quant_inst,[status(thm)],[])).
% 2.55/2.73 tff(2807,plain,
% 2.55/2.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.55/2.73 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 2.55/2.73 tff(2808,plain,
% 2.55/2.73 ($false),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2807, 76, 10, 6, 2801, 1028, 2799])).
% 2.55/2.73 tff(2809,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.73 tff(2810,plain,
% 2.55/2.73 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2809, 2410, 6, 7, 10, 12, 2, 9])).
% 2.55/2.73 tff(2811,plain,
% 2.55/2.73 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[1042, 2810])).
% 2.55/2.73 tff(2812,assumption,(b(s(s(s(s(s(s(s(s(s(z))))))))), z)), introduced(assumption)).
% 2.55/2.73 tff(2813,plain,
% 2.55/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2814,plain,
% 2.55/2.73 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2815,plain,
% 2.55/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.73 inference(monotonicity,[status(thm)],[2814])).
% 2.55/2.73 tff(2816,plain,
% 2.55/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.73 inference(transitivity,[status(thm)],[2815, 2813])).
% 2.55/2.73 tff(2817,plain,
% 2.55/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.73 inference(quant_inst,[status(thm)],[])).
% 2.55/2.73 tff(2818,plain,
% 2.55/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.55/2.73 inference(modus_ponens,[status(thm)],[2817, 2816])).
% 2.55/2.73 tff(2819,plain,
% 2.55/2.73 ($false),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2818, 213, 7, 467, 2812, 747])).
% 2.55/2.73 tff(2820,plain,((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.73 tff(2821,plain,
% 2.55/2.73 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2820, 467, 7, 2812])).
% 2.55/2.73 tff(2822,plain,
% 2.55/2.73 (~b(z, s(s(s(z))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[2493, 1507, 7, 506])).
% 2.55/2.73 tff(2823,plain,
% 2.55/2.73 (r(z, s(s(s(z))))),
% 2.55/2.73 inference(unit_resolution,[status(thm)],[581, 2822])).
% 2.55/2.73 tff(2824,plain,
% 2.55/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2825,plain,
% 2.55/2.73 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.73 inference(rewrite,[status(thm)],[])).
% 2.55/2.73 tff(2826,plain,
% 2.55/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.55/2.74 inference(monotonicity,[status(thm)],[2825])).
% 2.55/2.74 tff(2827,plain,
% 2.55/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.74 inference(transitivity,[status(thm)],[2826, 2824])).
% 2.55/2.74 tff(2828,plain,
% 2.55/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.74 inference(quant_inst,[status(thm)],[])).
% 2.55/2.74 tff(2829,plain,
% 2.55/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.74 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 2.55/2.74 tff(2830,plain,
% 2.55/2.74 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2829, 213, 506, 1507, 467])).
% 2.55/2.74 tff(2831,plain,
% 2.55/2.74 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[853, 110, 2830])).
% 2.55/2.74 tff(2832,plain,
% 2.55/2.74 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2831, 66])).
% 2.55/2.74 tff(2833,plain,
% 2.55/2.74 (((~![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(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2834,plain,
% 2.55/2.74 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z)))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2835,plain,
% 2.55/2.74 (((~![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(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.55/2.74 inference(monotonicity,[status(thm)],[2834])).
% 2.55/2.74 tff(2836,plain,
% 2.55/2.74 (((~![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(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.74 inference(transitivity,[status(thm)],[2835, 2833])).
% 2.55/2.74 tff(2837,plain,
% 2.55/2.74 ((~![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(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.74 inference(quant_inst,[status(thm)],[])).
% 2.55/2.74 tff(2838,plain,
% 2.55/2.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.74 inference(modus_ponens,[status(thm)],[2837, 2836])).
% 2.55/2.74 tff(2839,plain,
% 2.55/2.74 ($false),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2838, 76, 691, 1628, 282, 2832])).
% 2.55/2.74 tff(2840,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.74 tff(2841,plain,
% 2.55/2.74 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2840, 467, 506, 2823, 1507])).
% 2.55/2.74 tff(2842,plain,
% 2.55/2.74 ($false),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[819, 2841, 2821])).
% 2.55/2.74 tff(2843,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.74 tff(2844,plain,
% 2.55/2.74 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2843, 2811, 2765, 7, 2642])).
% 2.55/2.74 tff(2845,plain,
% 2.55/2.74 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[484, 2844])).
% 2.55/2.74 tff(2846,plain,
% 2.55/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2847,plain,
% 2.55/2.74 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2848,plain,
% 2.55/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.55/2.74 inference(monotonicity,[status(thm)],[2847])).
% 2.55/2.74 tff(2849,plain,
% 2.55/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.55/2.74 inference(transitivity,[status(thm)],[2848, 2846])).
% 2.55/2.74 tff(2850,plain,
% 2.55/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 2.55/2.74 inference(quant_inst,[status(thm)],[])).
% 2.55/2.74 tff(2851,plain,
% 2.55/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 2.55/2.74 inference(modus_ponens,[status(thm)],[2850, 2849])).
% 2.55/2.74 tff(2852,plain,
% 2.55/2.74 ($false),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2851, 213, 1, 782, 284, 281, 2812])).
% 2.55/2.74 tff(2853,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.74 tff(2854,plain,
% 2.55/2.74 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2853, 1, 782, 284, 2812])).
% 2.55/2.74 tff(2855,plain,
% 2.55/2.74 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[610, 2854])).
% 2.55/2.74 tff(2856,plain,
% 2.55/2.74 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[1825, 1, 10, 284, 782])).
% 2.55/2.74 tff(2857,plain,
% 2.55/2.74 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[450, 2856])).
% 2.55/2.74 tff(2858,plain,
% 2.55/2.74 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2859,plain,
% 2.55/2.74 (((~![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(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.74 inference(monotonicity,[status(thm)],[2858])).
% 2.55/2.74 tff(2860,plain,
% 2.55/2.74 (((~![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(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(transitivity,[status(thm)],[2859, 599])).
% 2.55/2.74 tff(2861,plain,
% 2.55/2.74 ((~![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(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.55/2.74 inference(quant_inst,[status(thm)],[])).
% 2.55/2.74 tff(2862,plain,
% 2.55/2.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.55/2.74 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 2.55/2.74 tff(2863,plain,
% 2.55/2.74 ($false),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2862, 76, 2857, 2855, 598, 9])).
% 2.55/2.74 tff(2864,plain,((~b(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.74 tff(2865,plain,
% 2.55/2.74 (~b(z, s(z))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2864, 2845, 9, 2646, 2644, 2642, 10])).
% 2.55/2.74 tff(2866,plain,
% 2.55/2.74 (r(z, s(z))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[370, 2865])).
% 2.55/2.74 tff(2867,plain,
% 2.55/2.74 (~r(s(s(s(z))), z)),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2775, 2866, 12, 2])).
% 2.55/2.74 tff(2868,plain,
% 2.55/2.74 (b(s(s(s(z))), z)),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2303, 2867])).
% 2.55/2.74 tff(2869,plain,
% 2.55/2.74 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[1949, 2868, 7, 2765])).
% 2.55/2.74 tff(2870,plain,
% 2.55/2.74 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[233, 2869])).
% 2.55/2.74 tff(2871,plain,
% 2.55/2.74 (~b(z, s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2493, 2811, 7, 2765])).
% 2.55/2.74 tff(2872,plain,
% 2.55/2.74 (r(z, s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[581, 2871])).
% 2.55/2.74 tff(2873,plain,
% 2.55/2.74 (((~![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(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2874,plain,
% 2.55/2.74 (((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2875,plain,
% 2.55/2.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))))),
% 2.55/2.74 inference(monotonicity,[status(thm)],[2874])).
% 2.55/2.74 tff(2876,plain,
% 2.55/2.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.55/2.74 inference(transitivity,[status(thm)],[2875, 2873])).
% 2.55/2.74 tff(2877,plain,
% 2.55/2.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))),
% 2.55/2.74 inference(quant_inst,[status(thm)],[])).
% 2.55/2.74 tff(2878,plain,
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% 2.55/2.74 inference(modus_ponens,[status(thm)],[2877, 2876])).
% 2.55/2.74 tff(2879,plain,
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% 2.55/2.74 inference(unit_resolution,[status(thm)],[2878, 76, 350, 691, 1027, 12])).
% 2.55/2.74 tff(2880,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.74 tff(2881,plain,
% 2.55/2.74 (~r(s(z), s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2880, 2866, 12, 2872])).
% 2.55/2.74 tff(2882,plain,
% 2.55/2.74 (b(s(z), s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[564, 2881])).
% 2.55/2.74 tff(2883,plain,
% 2.55/2.74 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2366, 2882, 2765, 2811])).
% 2.55/2.74 tff(2884,plain,
% 2.55/2.74 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[450, 2883])).
% 2.55/2.74 tff(2885,plain,
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% 2.55/2.74 inference(unit_resolution,[status(thm)],[1749, 2884, 2870, 9, 2866])).
% 2.55/2.74 tff(2886,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.74 tff(2887,plain,
% 2.55/2.74 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2886, 12, 7, 9, 2, 10, 6])).
% 2.55/2.74 tff(2888,plain,
% 2.55/2.74 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2750, 2887])).
% 2.55/2.74 tff(2889,plain,
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% 2.55/2.74 inference(unit_resolution,[status(thm)],[2797, 1016, 7, 506])).
% 2.55/2.74 tff(2890,plain,
% 2.55/2.74 (r(z, s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[581, 2889])).
% 2.55/2.74 tff(2891,plain,
% 2.55/2.74 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[1949, 1016, 7, 506])).
% 2.55/2.74 tff(2892,plain,
% 2.55/2.74 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[233, 2891])).
% 2.55/2.74 tff(2893,plain,
% 2.55/2.74 ($false),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[1859, 76, 10, 6, 738, 5])).
% 2.55/2.74 tff(2894,plain,((~r(s(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(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.74 tff(2895,plain,
% 2.55/2.74 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2894, 2892, 6, 10])).
% 2.55/2.74 tff(2896,plain,
% 2.55/2.74 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[250, 2895])).
% 2.55/2.74 tff(2897,plain,
% 2.55/2.74 (~r(s(s(s(s(z)))), z)),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[1960, 2892, 2, 16, 6])).
% 2.55/2.74 tff(2898,plain,
% 2.55/2.74 (b(s(s(s(s(z)))), z)),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[170, 2897])).
% 2.55/2.74 tff(2899,plain,
% 2.55/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2900,plain,
% 2.55/2.74 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(rewrite,[status(thm)],[])).
% 2.55/2.74 tff(2901,plain,
% 2.55/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.74 inference(monotonicity,[status(thm)],[2900])).
% 2.55/2.74 tff(2902,plain,
% 2.55/2.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.74 inference(transitivity,[status(thm)],[2901, 2899])).
% 2.55/2.74 tff(2903,plain,
% 2.55/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.55/2.74 inference(quant_inst,[status(thm)],[])).
% 2.55/2.74 tff(2904,plain,
% 2.55/2.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.55/2.74 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 2.55/2.74 tff(2905,plain,
% 2.55/2.74 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2904, 213, 2898, 506, 7, 2305])).
% 2.55/2.74 tff(2906,plain,
% 2.55/2.74 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2905, 2896])).
% 2.55/2.74 tff(2907,plain,
% 2.55/2.74 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[1042, 2906])).
% 2.55/2.74 tff(2908,plain,
% 2.55/2.74 ($false),
% 2.55/2.74 inference(unit_resolution,[status(thm)],[2807, 76, 10, 6, 2892, 2907, 2890])).
% 2.55/2.75 tff(2909,plain,((~b(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.75 tff(2910,plain,
% 2.55/2.75 (~b(s(s(s(z))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2909, 16, 6, 2765, 7, 2888, 2, 10])).
% 2.55/2.75 tff(2911,plain,
% 2.55/2.75 (r(s(s(s(z))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2303, 2910])).
% 2.55/2.75 tff(2912,plain,
% 2.55/2.75 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2377, 2911])).
% 2.55/2.75 tff(2913,plain,
% 2.55/2.75 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1871, 2912])).
% 2.55/2.75 tff(2914,plain,
% 2.55/2.75 (~b(s(z), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2357, 2913, 2646, 2888])).
% 2.55/2.75 tff(2915,plain,
% 2.55/2.75 (r(s(z), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[564, 2914])).
% 2.55/2.75 tff(2916,plain,
% 2.55/2.75 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2298, 2915, 2, 2911, 9])).
% 2.55/2.75 tff(2917,plain,
% 2.55/2.75 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1042, 2916])).
% 2.55/2.75 tff(2918,plain,
% 2.55/2.75 (~b(z, s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2493, 2917, 7, 2765])).
% 2.55/2.75 tff(2919,plain,
% 2.55/2.75 (r(z, s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[581, 2918])).
% 2.55/2.75 tff(2920,plain,
% 2.55/2.75 (((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.75 inference(rewrite,[status(thm)],[])).
% 2.55/2.75 tff(2921,plain,
% 2.55/2.75 (((~![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(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.55/2.75 inference(monotonicity,[status(thm)],[2920])).
% 2.55/2.75 tff(2922,plain,
% 2.55/2.75 (((~![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(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.75 inference(transitivity,[status(thm)],[2921, 2028])).
% 2.55/2.75 tff(2923,plain,
% 2.55/2.75 ((~![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(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))),
% 2.55/2.75 inference(quant_inst,[status(thm)],[])).
% 2.55/2.75 tff(2924,plain,
% 2.55/2.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.55/2.75 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 2.55/2.75 tff(2925,plain,
% 2.55/2.75 ($false),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2924, 76, 2, 2919, 2915, 2911])).
% 2.55/2.75 tff(2926,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.75 tff(2927,plain,
% 2.55/2.75 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2926, 12, 7, 9, 10, 2, 6])).
% 2.55/2.75 tff(2928,plain,
% 2.55/2.75 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[115, 2927])).
% 2.55/2.75 tff(2929,plain,
% 2.55/2.75 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.55/2.75 inference(rewrite,[status(thm)],[])).
% 2.55/2.75 tff(2930,plain,
% 2.55/2.75 (((~![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(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.55/2.75 inference(monotonicity,[status(thm)],[2929])).
% 2.55/2.75 tff(2931,plain,
% 2.55/2.75 (((~![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(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.55/2.75 inference(transitivity,[status(thm)],[2930, 1997])).
% 2.55/2.75 tff(2932,plain,
% 2.55/2.75 ((~![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(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.55/2.75 inference(quant_inst,[status(thm)],[])).
% 2.55/2.75 tff(2933,plain,
% 2.55/2.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.55/2.75 inference(modus_ponens,[status(thm)],[2932, 2931])).
% 2.55/2.75 tff(2934,plain,
% 2.55/2.75 ($false),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2933, 76, 10, 155, 2296, 1556])).
% 2.55/2.75 tff(2935,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.75 tff(2936,plain,
% 2.55/2.75 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2935, 2779, 10, 2296])).
% 2.55/2.75 tff(2937,plain,
% 2.55/2.75 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1871, 2936])).
% 2.55/2.75 tff(2938,plain,
% 2.55/2.75 (~b(s(z), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2357, 2937, 782, 2305])).
% 2.55/2.75 tff(2939,plain,
% 2.55/2.75 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2864, 2777, 9, 782, 284, 2642, 10])).
% 2.55/2.75 tff(2940,plain,
% 2.55/2.75 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[484, 2939])).
% 2.55/2.75 tff(2941,plain,
% 2.55/2.75 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2843, 2940, 506, 7, 2642])).
% 2.55/2.75 tff(2942,plain,
% 2.55/2.75 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1042, 2941])).
% 2.55/2.75 tff(2943,plain,
% 2.55/2.75 (~r(s(s(s(z))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2298, 1027, 2, 1028, 9])).
% 2.55/2.75 tff(2944,plain,
% 2.55/2.75 (b(s(s(s(z))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2303, 2943])).
% 2.55/2.75 tff(2945,plain,
% 2.55/2.75 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1036, 1027, 9, 2, 1028])).
% 2.55/2.75 tff(2946,plain,
% 2.55/2.75 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[233, 2945])).
% 2.55/2.75 tff(2947,plain,
% 2.55/2.75 ($false),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1949, 2946, 2944, 7, 506])).
% 2.55/2.75 tff(2948,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.75 tff(2949,plain,
% 2.55/2.75 (~r(s(z), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2948, 2942, 506, 9, 2, 7])).
% 2.55/2.75 tff(2950,plain,
% 2.55/2.75 ($false),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[564, 2949, 2938])).
% 2.55/2.75 tff(2951,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.75 tff(2952,plain,
% 2.55/2.75 (~r(s(s(s(z))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2951, 2888, 9, 2, 7, 2646, 2765, 10, 2928, 12])).
% 2.55/2.75 tff(2953,plain,
% 2.55/2.75 (b(s(s(s(z))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2303, 2952])).
% 2.55/2.75 tff(2954,plain,
% 2.55/2.75 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1949, 2953, 7, 2765])).
% 2.55/2.75 tff(2955,plain,
% 2.55/2.75 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[233, 2954])).
% 2.55/2.75 tff(2956,plain,
% 2.55/2.75 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2894, 2955, 6, 10])).
% 2.55/2.75 tff(2957,plain,
% 2.55/2.75 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[250, 2956])).
% 2.55/2.75 tff(2958,plain,
% 2.55/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.75 inference(rewrite,[status(thm)],[])).
% 2.55/2.75 tff(2959,plain,
% 2.55/2.75 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.75 inference(rewrite,[status(thm)],[])).
% 2.55/2.75 tff(2960,plain,
% 2.55/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 2.55/2.75 inference(monotonicity,[status(thm)],[2959])).
% 2.55/2.75 tff(2961,plain,
% 2.55/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.75 inference(transitivity,[status(thm)],[2960, 2958])).
% 2.55/2.75 tff(2962,plain,
% 2.55/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.75 inference(quant_inst,[status(thm)],[])).
% 2.55/2.75 tff(2963,plain,
% 2.55/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))),
% 2.55/2.75 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 2.55/2.75 tff(2964,plain,
% 2.55/2.75 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2963, 213, 2765, 7, 2957, 2953, 2888])).
% 2.55/2.75 tff(2965,plain,
% 2.55/2.75 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1871, 2964])).
% 2.55/2.75 tff(2966,plain,
% 2.55/2.75 (~b(z, s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2797, 2953, 7, 2765])).
% 2.55/2.75 tff(2967,plain,
% 2.55/2.75 (r(z, s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[581, 2966])).
% 2.55/2.75 tff(2968,plain,
% 2.55/2.75 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2843, 1507, 506, 7, 2812])).
% 2.55/2.75 tff(2969,plain,
% 2.55/2.75 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[484, 2968])).
% 2.55/2.75 tff(2970,plain,
% 2.55/2.75 (~b(z, s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2864, 2969, 9, 782, 284, 2812, 10])).
% 2.55/2.75 tff(2971,plain,
% 2.55/2.75 (r(z, s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[370, 2970])).
% 2.55/2.75 tff(2972,plain,
% 2.55/2.75 (~r(s(z), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2880, 2971, 12, 691])).
% 2.55/2.75 tff(2973,plain,
% 2.55/2.75 (b(s(z), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[564, 2972])).
% 2.55/2.75 tff(2974,plain,
% 2.55/2.75 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1749, 2971, 9, 738])).
% 2.55/2.75 tff(2975,plain,
% 2.55/2.75 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[450, 2974])).
% 2.55/2.75 tff(2976,plain,
% 2.55/2.75 ($false),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2366, 2975, 2973, 506, 1507])).
% 2.55/2.75 tff(2977,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.75 tff(2978,plain,
% 2.55/2.75 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2977, 2955, 9, 2765, 12, 2967, 2646, 2928, 2642, 10, 7])).
% 2.55/2.75 tff(2979,plain,
% 2.55/2.75 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1042, 2978])).
% 2.55/2.75 tff(2980,plain,
% 2.55/2.75 ($false),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2385, 76, 10, 2955, 2979, 2967, 2965])).
% 2.55/2.75 tff(2981,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.75 tff(2982,plain,
% 2.55/2.75 (~r(s(s(s(z))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2981, 6, 9, 7, 10, 2])).
% 2.55/2.75 tff(2983,plain,
% 2.55/2.75 (b(s(s(s(z))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[535, 2982])).
% 2.55/2.75 tff(2984,plain,
% 2.55/2.75 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[84, 16, 9, 6])).
% 2.55/2.75 tff(2985,plain,
% 2.55/2.75 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[450, 2984])).
% 2.55/2.75 tff(2986,plain,
% 2.55/2.75 (~r(s(z), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2948, 1028, 2765, 9, 2, 7])).
% 2.55/2.75 tff(2987,plain,
% 2.55/2.75 (b(s(z), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[564, 2986])).
% 2.55/2.75 tff(2988,plain,
% 2.55/2.75 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2700, 2987, 2646, 2983])).
% 2.55/2.75 tff(2989,plain,
% 2.55/2.75 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2750, 2988])).
% 2.55/2.75 tff(2990,plain,
% 2.55/2.75 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2412, 2989, 9, 1028, 6])).
% 2.55/2.75 tff(2991,plain,
% 2.55/2.75 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[115, 2990])).
% 2.55/2.75 tff(2992,plain,
% 2.55/2.75 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2733, 2991, 2646, 2983])).
% 2.55/2.75 tff(2993,plain,
% 2.55/2.75 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[1871, 2992])).
% 2.55/2.75 tff(2994,plain,
% 2.55/2.75 (~r(z, s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[571, 76, 10, 2989, 2993])).
% 2.55/2.75 tff(2995,plain,
% 2.55/2.75 (b(z, s(s(s(z))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[581, 2994])).
% 2.55/2.75 tff(2996,plain,
% 2.55/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.75 inference(rewrite,[status(thm)],[])).
% 2.55/2.75 tff(2997,plain,
% 2.55/2.75 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.75 inference(rewrite,[status(thm)],[])).
% 2.55/2.75 tff(2998,plain,
% 2.55/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.55/2.75 inference(monotonicity,[status(thm)],[2997])).
% 2.55/2.75 tff(2999,plain,
% 2.55/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.75 inference(transitivity,[status(thm)],[2998, 2996])).
% 2.55/2.75 tff(3000,plain,
% 2.55/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 2.55/2.75 inference(quant_inst,[status(thm)],[])).
% 2.55/2.75 tff(3001,plain,
% 2.55/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.75 inference(modus_ponens,[status(thm)],[3000, 2999])).
% 2.55/2.75 tff(3002,plain,
% 2.55/2.75 ($false),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[3001, 213, 1, 782, 284, 1065, 8])).
% 2.55/2.75 tff(3003,plain,((~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.75 tff(3004,plain,
% 2.55/2.75 (~b(z, s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[3003, 2995, 2646, 2983, 2991])).
% 2.55/2.75 tff(3005,plain,
% 2.55/2.75 (r(z, s(z))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[370, 3004])).
% 2.55/2.75 tff(3006,plain,
% 2.55/2.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.75 inference(rewrite,[status(thm)],[])).
% 2.55/2.75 tff(3007,plain,
% 2.55/2.75 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.75 inference(rewrite,[status(thm)],[])).
% 2.55/2.75 tff(3008,plain,
% 2.55/2.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.55/2.75 inference(monotonicity,[status(thm)],[3007])).
% 2.55/2.75 tff(3009,plain,
% 2.55/2.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.75 inference(transitivity,[status(thm)],[3008, 3006])).
% 2.55/2.75 tff(3010,plain,
% 2.55/2.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.75 inference(quant_inst,[status(thm)],[])).
% 2.55/2.75 tff(3011,plain,
% 2.55/2.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.55/2.75 inference(modus_ponens,[status(thm)],[3010, 3009])).
% 2.55/2.75 tff(3012,plain,
% 2.55/2.75 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[3011, 76, 1028, 2989, 2993])).
% 2.55/2.75 tff(3013,plain,
% 2.55/2.75 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[250, 3012])).
% 2.55/2.75 tff(3014,plain,
% 2.55/2.75 (~b(s(s(s(z))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2797, 2995, 7, 2765])).
% 2.55/2.75 tff(3015,plain,
% 2.55/2.75 (r(s(s(s(z))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2303, 3014])).
% 2.55/2.75 tff(3016,plain,
% 2.55/2.75 (~r(s(s(s(s(z)))), z)),
% 2.55/2.75 inference(unit_resolution,[status(thm)],[2935, 3015, 10, 2993])).
% 2.55/2.76 tff(3017,plain,
% 2.55/2.76 (b(s(s(s(s(z)))), z)),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[170, 3016])).
% 2.55/2.76 tff(3018,plain,
% 2.55/2.76 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[735, 3017, 7, 3013])).
% 2.55/2.76 tff(3019,plain,
% 2.55/2.76 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[233, 3018])).
% 2.55/2.76 tff(3020,plain,
% 2.55/2.76 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[1073, 3017, 7, 2991, 2995, 3013, 2983])).
% 2.55/2.76 tff(3021,plain,
% 2.55/2.76 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[450, 3020])).
% 2.55/2.76 tff(3022,plain,
% 2.55/2.76 ($false),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[1749, 3021, 3019, 9, 3005])).
% 2.55/2.76 tff(3023,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.76 tff(3024,plain,
% 2.55/2.76 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3023, 6, 7, 10, 9, 2])).
% 2.55/2.76 tff(3025,plain,
% 2.55/2.76 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[1042, 3024])).
% 2.55/2.76 tff(3026,plain,
% 2.55/2.76 (~b(z, s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2493, 3025, 7, 2765])).
% 2.55/2.76 tff(3027,plain,
% 2.55/2.76 (r(z, s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[581, 3026])).
% 2.55/2.76 tff(3028,plain,
% 2.55/2.76 (~b(s(z), s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2366, 2985, 2765, 3025])).
% 2.55/2.76 tff(3029,plain,
% 2.55/2.76 (r(s(z), s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[564, 3028])).
% 2.55/2.76 tff(3030,plain,
% 2.55/2.76 (~r(z, s(z))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2477, 76, 10, 16, 3027, 3029])).
% 2.55/2.76 tff(3031,plain,
% 2.55/2.76 (b(z, s(z))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[370, 3030])).
% 2.55/2.76 tff(3032,plain,
% 2.55/2.76 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2894, 738, 6, 10])).
% 2.55/2.76 tff(3033,plain,
% 2.55/2.76 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[250, 3032])).
% 2.55/2.76 tff(3034,plain,
% 2.55/2.76 (~r(s(s(s(s(z)))), z)),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[1960, 738, 2, 16, 6])).
% 2.55/2.76 tff(3035,plain,
% 2.55/2.76 (b(s(s(s(s(z)))), z)),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[170, 3034])).
% 2.55/2.76 tff(3036,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.76 inference(rewrite,[status(thm)],[])).
% 2.55/2.76 tff(3037,plain,
% 2.55/2.76 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.76 inference(rewrite,[status(thm)],[])).
% 2.55/2.76 tff(3038,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))))),
% 2.55/2.76 inference(monotonicity,[status(thm)],[3037])).
% 2.55/2.76 tff(3039,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.76 inference(transitivity,[status(thm)],[3038, 3036])).
% 2.55/2.76 tff(3040,plain,
% 2.55/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.76 inference(quant_inst,[status(thm)],[])).
% 2.55/2.76 tff(3041,plain,
% 2.55/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.76 inference(modus_ponens,[status(thm)],[3040, 3039])).
% 2.55/2.76 tff(3042,plain,
% 2.55/2.76 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3041, 213, 1, 3035, 506, 3, 3033, 8])).
% 2.55/2.76 tff(3043,plain,
% 2.55/2.76 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[1871, 3042])).
% 2.55/2.76 tff(3044,plain,
% 2.55/2.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.76 inference(rewrite,[status(thm)],[])).
% 2.55/2.76 tff(3045,plain,
% 2.55/2.76 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.76 inference(rewrite,[status(thm)],[])).
% 2.55/2.76 tff(3046,plain,
% 2.55/2.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))))),
% 2.55/2.76 inference(monotonicity,[status(thm)],[3045])).
% 2.55/2.76 tff(3047,plain,
% 2.55/2.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.76 inference(transitivity,[status(thm)],[3046, 3044])).
% 2.55/2.76 tff(3048,plain,
% 2.55/2.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.76 inference(quant_inst,[status(thm)],[])).
% 2.55/2.76 tff(3049,plain,
% 2.55/2.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))),
% 2.55/2.76 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 2.55/2.76 tff(3050,plain,
% 2.55/2.76 ($false),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3049, 76, 10, 6, 738, 691, 3043])).
% 2.55/2.76 tff(3051,plain,((~r(z, s(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(s(z))))))))) | (~r(z, s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.76 tff(3052,plain,
% 2.55/2.76 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3051, 3031, 6, 3027, 10, 2765, 2985, 2983, 2, 16])).
% 2.55/2.76 tff(3053,plain,
% 2.55/2.76 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[233, 3052])).
% 2.55/2.76 tff(3054,plain,
% 2.55/2.76 (~b(s(s(s(z))), z)),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[1949, 3053, 7, 2765])).
% 2.55/2.76 tff(3055,plain,
% 2.55/2.76 (r(s(s(s(z))), z)),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2303, 3054])).
% 2.55/2.76 tff(3056,plain,
% 2.55/2.76 ($false),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2924, 76, 2, 3027, 3029, 3055])).
% 2.55/2.76 tff(3057,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.76 tff(3058,plain,
% 2.55/2.76 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3057, 6, 7, 2, 10, 9])).
% 2.55/2.76 tff(3059,plain,
% 2.55/2.76 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[115, 3058])).
% 2.55/2.76 tff(3060,plain,
% 2.55/2.76 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2733, 3059, 2646, 2983])).
% 2.55/2.76 tff(3061,plain,
% 2.55/2.76 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[1871, 3060])).
% 2.55/2.76 tff(3062,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.76 inference(rewrite,[status(thm)],[])).
% 2.55/2.76 tff(3063,plain,
% 2.55/2.76 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.76 inference(rewrite,[status(thm)],[])).
% 2.55/2.76 tff(3064,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 2.55/2.76 inference(monotonicity,[status(thm)],[3063])).
% 2.55/2.76 tff(3065,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.76 inference(transitivity,[status(thm)],[3064, 3062])).
% 2.55/2.76 tff(3066,plain,
% 2.55/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 2.55/2.76 inference(quant_inst,[status(thm)],[])).
% 2.55/2.76 tff(3067,plain,
% 2.55/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.76 inference(modus_ponens,[status(thm)],[3066, 3065])).
% 2.55/2.76 tff(3068,plain,
% 2.55/2.76 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3067, 213, 2646, 3059, 2983])).
% 2.55/2.76 tff(3069,plain,
% 2.55/2.76 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2750, 3068])).
% 2.55/2.76 tff(3070,plain,
% 2.55/2.76 ($false),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[571, 76, 10, 3027, 3069, 3061])).
% 2.55/2.76 tff(3071,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.76 tff(3072,plain,
% 2.55/2.76 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3071, 2, 7, 10, 9])).
% 2.55/2.76 tff(3073,plain,
% 2.55/2.76 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[153, 3072])).
% 2.55/2.76 tff(3074,plain,
% 2.55/2.76 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[221, 171, 7, 3073])).
% 2.55/2.76 tff(3075,plain,
% 2.55/2.76 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[233, 3074])).
% 2.55/2.76 tff(3076,plain,
% 2.55/2.76 (~r(s(z), s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[1036, 1028, 9, 2, 3075])).
% 2.55/2.76 tff(3077,plain,
% 2.55/2.76 (b(s(z), s(s(s(z))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[564, 3076])).
% 2.55/2.76 tff(3078,plain,
% 2.55/2.76 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[2640, 9, 2, 10])).
% 2.55/2.76 tff(3079,plain,
% 2.55/2.76 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[627, 3078])).
% 2.55/2.76 tff(3080,plain,
% 2.55/2.76 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[242, 171, 2, 9, 7, 117])).
% 2.55/2.76 tff(3081,plain,
% 2.55/2.76 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[250, 3080])).
% 2.55/2.76 tff(3082,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.76 inference(rewrite,[status(thm)],[])).
% 2.55/2.76 tff(3083,plain,
% 2.55/2.76 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.76 inference(rewrite,[status(thm)],[])).
% 2.55/2.76 tff(3084,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.55/2.76 inference(monotonicity,[status(thm)],[3083])).
% 2.55/2.76 tff(3085,plain,
% 2.55/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.76 inference(transitivity,[status(thm)],[3084, 3082])).
% 2.55/2.76 tff(3086,plain,
% 2.55/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.55/2.76 inference(quant_inst,[status(thm)],[])).
% 2.55/2.76 tff(3087,plain,
% 2.55/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.76 inference(modus_ponens,[status(thm)],[3086, 3085])).
% 2.55/2.76 tff(3088,plain,
% 2.55/2.76 ($false),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3087, 213, 191, 7, 468, 2812, 747])).
% 2.55/2.76 tff(3089,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.76 tff(3090,plain,
% 2.55/2.76 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.76 inference(unit_resolution,[status(thm)],[3089, 3081, 3079, 7, 171])).
% 2.55/2.76 tff(3091,plain,
% 2.55/2.76 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[819, 3090])).
% 2.55/2.77 tff(3092,plain,
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% 2.55/2.77 tff(3093,plain,
% 2.55/2.77 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3094,plain,
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% 2.55/2.77 inference(monotonicity,[status(thm)],[3093])).
% 2.55/2.77 tff(3095,plain,
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% 2.55/2.77 inference(transitivity,[status(thm)],[3094, 3092])).
% 2.55/2.77 tff(3096,plain,
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% 2.55/2.77 inference(quant_inst,[status(thm)],[])).
% 2.55/2.77 tff(3097,plain,
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% 2.55/2.77 tff(3098,plain,
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% 2.55/2.77 tff(3099,plain,
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% 2.55/2.77 tff(3100,plain,
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% 2.55/2.77 tff(3102,plain,
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% 2.55/2.77 tff(3103,plain,
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% 2.55/2.77 tff(3104,plain,
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% 2.55/2.77 tff(3105,plain,
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% 2.55/2.77 tff(3106,plain,
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% 2.55/2.77 tff(3107,plain,
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% 2.55/2.77 tff(3108,plain,
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% 2.55/2.77 tff(3109,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.77 tff(3110,plain,
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% 2.55/2.77 tff(3111,plain,
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% 2.55/2.77 tff(3112,plain,
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% 2.55/2.77 tff(3117,plain,
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% 2.55/2.77 tff(3119,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.77 tff(3120,plain,
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% 2.55/2.77 tff(3122,plain,
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% 2.55/2.77 inference(unit_resolution,[status(thm)],[358, 3121, 10, 117])).
% 2.55/2.77 tff(3123,plain,
% 2.55/2.77 (b(z, s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[370, 3122])).
% 2.55/2.77 tff(3124,plain,
% 2.55/2.77 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1504, 3123, 9, 11, 1065, 1028])).
% 2.55/2.77 tff(3125,plain,
% 2.55/2.77 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[2583, 3123, 2, 11, 1065, 3075, 3077, 7])).
% 2.55/2.77 tff(3126,plain,
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% 2.55/2.77 inference(unit_resolution,[status(thm)],[450, 3125, 3124])).
% 2.55/2.77 tff(3127,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.77 tff(3128,plain,
% 2.55/2.77 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3127, 1065, 11, 2, 7, 9, 10, 117])).
% 2.55/2.77 tff(3129,plain,
% 2.55/2.77 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1042, 3128])).
% 2.55/2.77 tff(3130,plain,
% 2.55/2.77 (~b(s(s(s(z))), z)),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1515, 3129, 7, 1065])).
% 2.55/2.77 tff(3131,plain,
% 2.55/2.77 (r(s(s(s(z))), z)),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[2303, 3130])).
% 2.55/2.77 tff(3132,plain,
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% 2.55/2.77 inference(unit_resolution,[status(thm)],[1013, 76, 2, 11, 738, 12, 2296])).
% 2.55/2.77 tff(3133,plain,((~r(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.77 tff(3134,plain,
% 2.55/2.77 (~r(s(s(s(z))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3133, 3131, 11, 3075, 2])).
% 2.55/2.77 tff(3135,plain,
% 2.55/2.77 (b(s(s(s(z))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[535, 3134])).
% 2.55/2.77 tff(3136,plain,
% 2.55/2.77 (~r(s(z), s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1523, 76, 2, 738, 9, 2296])).
% 2.55/2.77 tff(3137,plain,
% 2.55/2.77 (b(s(z), s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[564, 3136])).
% 2.55/2.77 tff(3138,plain,
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% 2.55/2.77 inference(unit_resolution,[status(thm)],[1530, 213, 1, 1065, 3137, 8])).
% 2.55/2.77 tff(3139,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.77 tff(3140,plain,
% 2.55/2.77 (~b(z, s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3139, 3135, 1065, 2, 3075, 9, 3131])).
% 2.55/2.77 tff(3141,plain,
% 2.55/2.77 (r(z, s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[370, 3140])).
% 2.55/2.77 tff(3142,plain,
% 2.55/2.77 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[358, 3141, 10, 117])).
% 2.55/2.77 tff(3143,plain,
% 2.55/2.77 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[115, 3142])).
% 2.55/2.77 tff(3144,plain,
% 2.55/2.77 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1749, 3141, 9, 3075])).
% 2.55/2.77 tff(3145,plain,
% 2.55/2.77 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[450, 3144])).
% 2.55/2.77 tff(3146,plain,
% 2.55/2.77 ($false),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1073, 3145, 3143, 7, 171, 1065, 3081, 3135])).
% 2.55/2.77 tff(3147,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.77 tff(3148,plain,
% 2.55/2.77 (~b(z, s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3147, 117, 9, 10, 7, 2, 11])).
% 2.55/2.77 tff(3149,plain,
% 2.55/2.77 (r(z, s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[581, 3148])).
% 2.55/2.77 tff(3150,plain,
% 2.55/2.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3151,plain,
% 2.55/2.77 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3152,plain,
% 2.55/2.77 (((~![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(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.55/2.77 inference(monotonicity,[status(thm)],[3151])).
% 2.55/2.77 tff(3153,plain,
% 2.55/2.77 (((~![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(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.77 inference(transitivity,[status(thm)],[3152, 3150])).
% 2.55/2.77 tff(3154,plain,
% 2.55/2.77 ((~![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(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.55/2.77 inference(quant_inst,[status(thm)],[])).
% 2.55/2.77 tff(3155,plain,
% 2.55/2.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.55/2.77 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 2.55/2.77 tff(3156,plain,
% 2.55/2.77 ($false),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3155, 76, 11, 738, 1028, 691])).
% 2.55/2.77 tff(3157,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.77 tff(3158,plain,
% 2.55/2.77 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3157, 3149, 11, 3075])).
% 2.55/2.77 tff(3159,plain,
% 2.55/2.77 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1042, 3158])).
% 2.55/2.77 tff(3160,plain,
% 2.55/2.77 (~r(s(z), s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1077, 3149, 2, 11, 9])).
% 2.55/2.77 tff(3161,plain,
% 2.55/2.77 (b(s(z), s(s(s(z))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[564, 3160])).
% 2.55/2.77 tff(3162,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3163,plain,
% 2.55/2.77 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3164,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.55/2.77 inference(monotonicity,[status(thm)],[3163])).
% 2.55/2.77 tff(3165,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.55/2.77 inference(transitivity,[status(thm)],[3164, 3162])).
% 2.55/2.77 tff(3166,plain,
% 2.55/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.77 inference(quant_inst,[status(thm)],[])).
% 2.55/2.77 tff(3167,plain,
% 2.55/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.55/2.77 inference(modus_ponens,[status(thm)],[3166, 3165])).
% 2.55/2.77 tff(3168,plain,
% 2.55/2.77 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3167, 213, 1507, 7, 468, 203, 1016])).
% 2.55/2.77 tff(3169,plain,
% 2.55/2.77 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1871, 3168])).
% 2.55/2.77 tff(3170,plain,
% 2.55/2.77 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[221, 191, 7, 203])).
% 2.55/2.77 tff(3171,plain,
% 2.55/2.77 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[233, 3170])).
% 2.55/2.77 tff(3172,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3173,plain,
% 2.55/2.77 (((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3174,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 2.55/2.77 inference(monotonicity,[status(thm)],[3173])).
% 2.55/2.77 tff(3175,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.55/2.77 inference(transitivity,[status(thm)],[3174, 3172])).
% 2.55/2.77 tff(3176,plain,
% 2.55/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.77 inference(quant_inst,[status(thm)],[])).
% 2.55/2.77 tff(3177,plain,
% 2.55/2.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 2.55/2.77 inference(modus_ponens,[status(thm)],[3176, 3175])).
% 2.55/2.77 tff(3178,plain,
% 2.55/2.77 ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3177, 213, 1507, 856, 7, 1016])).
% 2.55/2.77 tff(3179,plain,
% 2.55/2.77 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[3178, 8])).
% 2.55/2.77 tff(3180,plain,
% 2.55/2.77 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[450, 3179])).
% 2.55/2.77 tff(3181,plain,
% 2.55/2.77 (~r(z, s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[1749, 3180, 9, 738])).
% 2.55/2.77 tff(3182,plain,
% 2.55/2.77 (b(z, s(z))),
% 2.55/2.77 inference(unit_resolution,[status(thm)],[370, 3181])).
% 2.55/2.77 tff(3183,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3184,plain,
% 2.55/2.77 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.55/2.77 inference(rewrite,[status(thm)],[])).
% 2.55/2.77 tff(3185,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 2.55/2.77 inference(monotonicity,[status(thm)],[3184])).
% 2.55/2.77 tff(3186,plain,
% 2.55/2.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.55/2.78 inference(transitivity,[status(thm)],[3185, 3183])).
% 2.55/2.78 tff(3187,plain,
% 2.55/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.55/2.78 inference(quant_inst,[status(thm)],[])).
% 2.55/2.78 tff(3188,plain,
% 2.55/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 2.55/2.78 inference(modus_ponens,[status(thm)],[3187, 3186])).
% 2.55/2.78 tff(3189,plain,
% 2.55/2.78 ($false),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3188, 213, 3182, 856, 8, 1016])).
% 2.55/2.78 tff(3190,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.78 tff(3191,plain,
% 2.55/2.78 (~b(s(s(s(z))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3190, 1016, 856, 9, 3171, 1507, 7])).
% 2.55/2.78 tff(3192,plain,
% 2.55/2.78 (r(s(s(s(z))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[535, 3191])).
% 2.55/2.78 tff(3193,plain,
% 2.55/2.78 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[682, 3192, 9, 11])).
% 2.55/2.78 tff(3194,plain,
% 2.55/2.78 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[450, 3193])).
% 2.55/2.78 tff(3195,plain,
% 2.55/2.78 (~b(s(s(s(s(z)))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[1024, 3194, 7, 1016, 468, 191, 856])).
% 2.55/2.78 tff(3196,plain,
% 2.55/2.78 (r(s(s(s(s(z)))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[115, 3195])).
% 2.55/2.78 tff(3197,plain,
% 2.55/2.78 ($false),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[523, 76, 117, 3196, 3192, 3169])).
% 2.55/2.78 tff(3198,plain,((~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.78 tff(3199,plain,
% 2.55/2.78 (~b(s(s(s(z))), z)),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3198, 117, 7, 3081, 171, 3161, 9, 11, 3159, 3073])).
% 2.55/2.78 tff(3200,plain,
% 2.55/2.78 (r(s(s(s(z))), z)),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[2303, 3199])).
% 2.55/2.78 tff(3201,plain,
% 2.55/2.78 (~r(s(s(s(z))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3133, 3200, 11, 3075, 2])).
% 2.55/2.78 tff(3202,plain,
% 2.55/2.78 (b(s(s(s(z))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[535, 3201])).
% 2.55/2.78 tff(3203,plain,
% 2.55/2.78 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3089, 3081, 7, 2642, 171])).
% 2.55/2.78 tff(3204,plain,
% 2.55/2.78 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[819, 3203])).
% 2.55/2.78 tff(3205,plain,
% 2.55/2.78 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[864, 453, 3161, 3202, 7])).
% 2.55/2.78 tff(3206,plain,
% 2.55/2.78 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[450, 3205])).
% 2.55/2.78 tff(3207,plain,
% 2.55/2.78 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[714, 705, 117, 16])).
% 2.55/2.78 tff(3208,plain,
% 2.55/2.78 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[610, 3207])).
% 2.55/2.78 tff(3209,plain,
% 2.55/2.78 (((~![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), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.78 inference(rewrite,[status(thm)],[])).
% 2.55/2.78 tff(3210,plain,
% 2.55/2.78 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z))) <=> ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.78 inference(rewrite,[status(thm)],[])).
% 2.55/2.78 tff(3211,plain,
% 2.55/2.78 (((~![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(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(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(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.55/2.78 inference(monotonicity,[status(thm)],[3210])).
% 2.55/2.78 tff(3212,plain,
% 2.55/2.78 (((~![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(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(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(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.55/2.78 inference(transitivity,[status(thm)],[3211, 3209])).
% 2.55/2.78 tff(3213,plain,
% 2.55/2.78 ((~![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(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)))),
% 2.55/2.78 inference(quant_inst,[status(thm)],[])).
% 2.55/2.78 tff(3214,plain,
% 2.55/2.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.55/2.78 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 2.55/2.78 tff(3215,plain,
% 2.55/2.78 ($false),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3214, 76, 2, 117, 252, 705, 282])).
% 2.55/2.78 tff(3216,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.78 tff(3217,plain,
% 2.55/2.78 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3216, 705, 2, 117, 282])).
% 2.55/2.78 tff(3218,plain,
% 2.55/2.78 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[279, 3217])).
% 2.55/2.78 tff(3219,plain,
% 2.55/2.78 ($false),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[1787, 3218, 3208, 10, 11, 282, 453, 468, 203, 9, 15])).
% 2.55/2.78 tff(3220,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.78 tff(3221,plain,
% 2.55/2.78 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3220, 3206, 11, 3204, 3081, 3073, 9, 10, 2, 117, 16])).
% 2.55/2.78 tff(3222,plain,
% 2.55/2.78 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[316, 3221])).
% 2.55/2.78 tff(3223,plain,
% 2.55/2.78 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[725, 3222, 3073, 3081])).
% 2.55/2.78 tff(3224,plain,
% 2.55/2.78 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[484, 3223])).
% 2.55/2.78 tff(3225,plain,
% 2.55/2.78 ($false),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[2862, 76, 15, 706, 598, 9])).
% 2.55/2.78 tff(3226,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.78 tff(3227,plain,
% 2.55/2.78 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3226, 3206, 3224, 9])).
% 2.55/2.78 tff(3228,plain,
% 2.55/2.78 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[610, 3227])).
% 2.55/2.78 tff(3229,plain,
% 2.55/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.78 inference(rewrite,[status(thm)],[])).
% 2.55/2.78 tff(3230,plain,
% 2.55/2.78 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.78 inference(rewrite,[status(thm)],[])).
% 2.55/2.78 tff(3231,plain,
% 2.55/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.55/2.78 inference(monotonicity,[status(thm)],[3230])).
% 2.55/2.78 tff(3232,plain,
% 2.55/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.55/2.78 inference(transitivity,[status(thm)],[3231, 3229])).
% 2.55/2.78 tff(3233,plain,
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% 2.55/2.78 inference(quant_inst,[status(thm)],[])).
% 2.55/2.78 tff(3234,plain,
% 2.55/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.55/2.78 inference(modus_ponens,[status(thm)],[3233, 3232])).
% 2.55/2.78 tff(3235,plain,
% 2.55/2.78 ($false),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3234, 213, 453, 3228, 3161, 3202, 2642])).
% 2.55/2.78 tff(3236,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.78 tff(3237,plain,
% 2.55/2.78 (~r(s(s(s(s(z)))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3236, 117, 11, 10, 2, 9, 7])).
% 2.55/2.78 tff(3238,plain,
% 2.55/2.78 (b(s(s(s(s(z)))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[115, 3237])).
% 2.55/2.78 tff(3239,plain,
% 2.55/2.78 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3109, 3238, 7, 2, 9, 117, 10])).
% 2.55/2.78 tff(3240,plain,
% 2.55/2.78 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[450, 3239])).
% 2.55/2.78 tff(3241,plain,
% 2.55/2.78 ($false),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[2761, 213, 3240, 3159, 3161, 3202])).
% 2.55/2.78 tff(3242,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.78 tff(3243,plain,
% 2.55/2.78 (~r(s(z), s(s(s(s(z)))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3242, 11, 2, 9, 10, 7])).
% 2.55/2.78 tff(3244,plain,
% 2.55/2.78 (b(s(z), s(s(s(s(z)))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[796, 3243])).
% 2.55/2.78 tff(3245,plain,
% 2.55/2.78 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[790, 3, 3073, 3244])).
% 2.55/2.78 tff(3246,plain,
% 2.55/2.78 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[250, 3245])).
% 2.55/2.78 tff(3247,plain,
% 2.55/2.78 (~b(s(s(s(s(z)))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[2538, 3, 3073, 3244])).
% 2.55/2.78 tff(3248,plain,
% 2.55/2.78 (r(s(s(s(s(z)))), s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[115, 3247])).
% 2.55/2.78 tff(3249,plain,
% 2.55/2.78 (~r(z, s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[1420, 3246, 2, 7, 3073, 10, 3248, 9])).
% 2.55/2.78 tff(3250,plain,
% 2.55/2.78 (b(z, s(z))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[370, 3249])).
% 2.55/2.78 tff(3251,plain,
% 2.55/2.78 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[2591, 3250, 2, 9, 7, 11, 3246, 10, 3])).
% 2.55/2.78 tff(3252,plain,
% 2.55/2.78 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[233, 3251])).
% 2.55/2.78 tff(3253,plain,
% 2.55/2.78 (~b(s(s(s(s(z)))), z)),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[221, 3252, 7, 3073])).
% 2.55/2.78 tff(3254,plain,
% 2.55/2.78 (r(s(s(s(s(z)))), z)),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[170, 3253])).
% 2.55/2.78 tff(3255,plain,
% 2.55/2.78 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[1992, 1027, 9, 11])).
% 2.55/2.78 tff(3256,plain,
% 2.55/2.78 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[1042, 3255])).
% 2.55/2.78 tff(3257,plain,
% 2.55/2.78 (~b(s(s(s(z))), z)),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[1515, 2218, 7, 3256])).
% 2.55/2.78 tff(3258,plain,
% 2.55/2.78 (r(s(s(s(z))), z)),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[2303, 3257])).
% 2.55/2.78 tff(3259,plain,
% 2.55/2.78 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[2935, 3258, 10, 155])).
% 2.55/2.78 tff(3260,plain,
% 2.55/2.78 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[1871, 3259])).
% 2.55/2.78 tff(3261,plain,
% 2.55/2.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 2.55/2.78 inference(rewrite,[status(thm)],[])).
% 2.55/2.78 tff(3262,plain,
% 2.55/2.78 (((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 2.55/2.78 inference(rewrite,[status(thm)],[])).
% 2.55/2.78 tff(3263,plain,
% 2.55/2.78 (((~![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(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))))),
% 2.55/2.78 inference(monotonicity,[status(thm)],[3262])).
% 2.55/2.78 tff(3264,plain,
% 2.55/2.78 (((~![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(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 2.55/2.78 inference(transitivity,[status(thm)],[3263, 3261])).
% 2.55/2.78 tff(3265,plain,
% 2.55/2.78 ((~![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(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))),
% 2.55/2.78 inference(quant_inst,[status(thm)],[])).
% 2.55/2.78 tff(3266,plain,
% 2.55/2.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))),
% 2.55/2.78 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 2.55/2.78 tff(3267,plain,
% 2.55/2.78 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3266, 76, 16, 155, 1027, 3258])).
% 2.55/2.78 tff(3268,plain,
% 2.55/2.78 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[2750, 3267])).
% 2.55/2.78 tff(3269,plain,
% 2.55/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.78 inference(rewrite,[status(thm)],[])).
% 2.55/2.78 tff(3270,plain,
% 2.55/2.78 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.78 inference(rewrite,[status(thm)],[])).
% 2.55/2.78 tff(3271,plain,
% 2.55/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.55/2.78 inference(monotonicity,[status(thm)],[3270])).
% 2.55/2.78 tff(3272,plain,
% 2.55/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.55/2.78 inference(transitivity,[status(thm)],[3271, 3269])).
% 2.55/2.78 tff(3273,plain,
% 2.55/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.78 inference(quant_inst,[status(thm)],[])).
% 2.55/2.78 tff(3274,plain,
% 2.55/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.55/2.78 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 2.55/2.78 tff(3275,plain,
% 2.55/2.78 ($false),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3274, 213, 3256, 3073, 3268, 3260])).
% 2.55/2.78 tff(3276,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.78 tff(3277,plain,
% 2.55/2.78 (~r(s(z), s(s(s(z))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[3276, 3248, 3254, 10, 7, 2, 11, 9])).
% 2.55/2.78 tff(3278,plain,
% 2.55/2.78 (b(s(z), s(s(s(z))))),
% 2.55/2.78 inference(unit_resolution,[status(thm)],[564, 3277])).
% 2.55/2.79 tff(3279,plain,
% 2.55/2.79 (~b(s(s(s(z))), s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[864, 3278, 3, 3250, 7])).
% 2.55/2.79 tff(3280,plain,
% 2.55/2.79 (r(s(s(s(z))), s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[535, 3279])).
% 2.55/2.79 tff(3281,plain,
% 2.55/2.79 ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[896, 76, 3248, 11, 9])).
% 2.55/2.79 tff(3282,plain,
% 2.55/2.79 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3281, 3280])).
% 2.55/2.79 tff(3283,plain,
% 2.55/2.79 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[1871, 3282])).
% 2.55/2.79 tff(3284,plain,
% 2.55/2.79 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[2357, 3283, 3244, 3278])).
% 2.55/2.79 tff(3285,plain,
% 2.55/2.79 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[2750, 3284])).
% 2.55/2.79 tff(3286,plain,
% 2.55/2.79 (((~![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), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.79 inference(rewrite,[status(thm)],[])).
% 2.55/2.79 tff(3287,plain,
% 2.55/2.79 (((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.79 inference(rewrite,[status(thm)],[])).
% 2.55/2.79 tff(3288,plain,
% 2.55/2.79 (((~![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), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))))),
% 2.55/2.79 inference(monotonicity,[status(thm)],[3287])).
% 2.55/2.79 tff(3289,plain,
% 2.55/2.79 (((~![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), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 2.55/2.79 inference(transitivity,[status(thm)],[3288, 3286])).
% 2.55/2.79 tff(3290,plain,
% 2.55/2.79 ((~![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), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.55/2.79 inference(quant_inst,[status(thm)],[])).
% 2.55/2.79 tff(3291,plain,
% 2.55/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))),
% 2.55/2.79 inference(modus_ponens,[status(thm)],[3290, 3289])).
% 2.55/2.79 tff(3292,plain,
% 2.55/2.79 ($false),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3291, 76, 2, 3248, 3254, 3280, 3285])).
% 2.55/2.79 tff(3293,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.79 tff(3294,plain,
% 2.55/2.79 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3293, 11, 2, 9, 7, 10])).
% 2.55/2.79 tff(3295,plain,
% 2.55/2.79 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[450, 3294])).
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% 2.55/2.79 tff(3312,plain,
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% 2.55/2.79 inference(monotonicity,[status(thm)],[3311])).
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% 2.55/2.79 inference(transitivity,[status(thm)],[3312, 3310])).
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% 2.55/2.79 inference(quant_inst,[status(thm)],[])).
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% 2.55/2.79 tff(3318,plain,
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% 2.55/2.79 tff(3320,plain,
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% 2.55/2.79 tff(3321,plain,
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% 2.55/2.79 inference(rewrite,[status(thm)],[])).
% 2.55/2.79 tff(3327,plain,
% 2.55/2.79 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.55/2.79 inference(rewrite,[status(thm)],[])).
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% 2.55/2.79 inference(monotonicity,[status(thm)],[3327])).
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% 2.55/2.79 inference(transitivity,[status(thm)],[3328, 3326])).
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% 2.55/2.79 tff(3332,plain,
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% 2.55/2.79 tff(3333,plain,
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% 2.55/2.79 tff(3334,plain,
% 2.55/2.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 2.55/2.79 tff(3335,plain,
% 2.55/2.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[1042, 3334])).
% 2.55/2.79 tff(3336,plain,
% 2.55/2.79 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.55/2.79 inference(rewrite,[status(thm)],[])).
% 2.55/2.79 tff(3337,plain,
% 2.55/2.79 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.55/2.79 inference(rewrite,[status(thm)],[])).
% 2.55/2.79 tff(3338,plain,
% 2.55/2.79 (((~![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(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 2.55/2.79 inference(monotonicity,[status(thm)],[3337])).
% 2.55/2.79 tff(3339,plain,
% 2.55/2.79 (((~![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(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.55/2.79 inference(transitivity,[status(thm)],[3338, 3336])).
% 2.55/2.79 tff(3340,plain,
% 2.55/2.79 ((~![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(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.55/2.79 inference(quant_inst,[status(thm)],[])).
% 2.55/2.79 tff(3341,plain,
% 2.55/2.79 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 2.55/2.79 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 2.55/2.79 tff(3342,plain,
% 2.55/2.79 ($false),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3341, 76, 11, 3335, 3333, 3319])).
% 2.55/2.79 tff(3343,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.79 tff(3344,plain,
% 2.55/2.79 (~b(s(s(s(s(z)))), s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3343, 11, 2642, 7, 10, 3295, 9, 3073, 3244])).
% 2.55/2.79 tff(3345,plain,
% 2.55/2.79 (r(s(s(s(s(z)))), s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[115, 3344])).
% 2.55/2.79 tff(3346,plain,
% 2.55/2.79 (~b(s(s(s(s(z)))), z)),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[221, 202, 7, 3073])).
% 2.55/2.79 tff(3347,plain,
% 2.55/2.79 (r(s(s(s(s(z)))), z)),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[170, 3346])).
% 2.55/2.79 tff(3348,plain,
% 2.55/2.79 (~r(s(z), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3276, 3347, 3345, 10, 7, 2, 11, 9])).
% 2.55/2.79 tff(3349,plain,
% 2.55/2.79 (b(s(z), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[564, 3348])).
% 2.55/2.79 tff(3350,plain,
% 2.55/2.79 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3317, 202, 7, 2642])).
% 2.55/2.79 tff(3351,plain,
% 2.55/2.79 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[484, 3350])).
% 2.55/2.79 tff(3352,plain,
% 2.55/2.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3226, 3351, 3295, 9])).
% 2.55/2.79 tff(3353,plain,
% 2.55/2.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[610, 3352])).
% 2.55/2.79 tff(3354,plain,
% 2.55/2.79 ($false),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[1418, 76, 2, 350, 16, 155])).
% 2.55/2.79 tff(3355,plain,((~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.79 tff(3356,plain,
% 2.55/2.79 (~r(z, s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3355, 3347, 3345, 2])).
% 2.55/2.79 tff(3357,plain,
% 2.55/2.79 (b(z, s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[370, 3356])).
% 2.55/2.79 tff(3358,plain,
% 2.55/2.79 ($false),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3234, 213, 3357, 3353, 3349, 3297, 2642])).
% 2.55/2.79 tff(3359,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.79 tff(3360,plain,
% 2.55/2.79 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3359, 11, 10, 7, 2, 9])).
% 2.55/2.79 tff(3361,plain,
% 2.55/2.79 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[233, 3360])).
% 2.55/2.79 tff(3362,plain,
% 2.55/2.79 (~r(z, s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[1749, 3361, 9, 3295])).
% 2.55/2.79 tff(3363,plain,
% 2.55/2.79 (b(z, s(z))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[370, 3362])).
% 2.55/2.79 tff(3364,plain,
% 2.55/2.79 (~b(s(s(s(z))), z)),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[1515, 3256, 7, 2218])).
% 2.55/2.79 tff(3365,plain,
% 2.55/2.79 (~r(s(s(s(z))), z)),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3139, 2218, 8, 2, 738, 9, 1])).
% 2.55/2.79 tff(3366,plain,
% 2.55/2.79 ($false),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[2303, 3365, 3364])).
% 2.55/2.79 tff(3367,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.55/2.79 tff(3368,plain,
% 2.55/2.79 (~r(s(z), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3367, 3297, 2, 3361, 9, 3363, 7, 11])).
% 2.55/2.79 tff(3369,plain,
% 2.55/2.79 (b(s(z), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[564, 3368])).
% 2.55/2.79 tff(3370,plain,
% 2.55/2.79 (~b(s(s(s(z))), z)),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3188, 213, 3363, 3369, 3297])).
% 2.55/2.79 tff(3371,plain,
% 2.55/2.79 (r(s(s(s(z))), z)),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[2303, 3370])).
% 2.55/2.79 tff(3372,plain,
% 2.55/2.79 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[2700, 3369, 3244, 3297])).
% 2.55/2.79 tff(3373,plain,
% 2.55/2.79 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[2750, 3372])).
% 2.55/2.79 tff(3374,plain,
% 2.55/2.79 (~b(z, s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[1530, 213, 3363, 3369, 3297])).
% 2.55/2.79 tff(3375,plain,
% 2.55/2.79 (r(z, s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[581, 3374])).
% 2.55/2.79 tff(3376,plain,
% 2.55/2.79 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[1532, 3363, 2, 11, 9, 7, 3295, 10, 3361])).
% 2.55/2.79 tff(3377,plain,
% 2.55/2.79 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[250, 3376])).
% 2.55/2.79 tff(3378,plain,
% 2.55/2.79 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[3157, 3375, 11, 3361])).
% 2.55/2.79 tff(3379,plain,
% 2.55/2.79 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[1042, 3378])).
% 2.55/2.79 tff(3380,plain,
% 2.55/2.79 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[476, 467, 203, 468])).
% 2.55/2.79 tff(3381,plain,
% 2.55/2.79 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[338, 3380])).
% 2.55/2.79 tff(3382,plain,
% 2.55/2.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[699, 3381, 10, 691, 282])).
% 2.55/2.79 tff(3383,plain,
% 2.55/2.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.55/2.79 inference(unit_resolution,[status(thm)],[653, 3382])).
% 2.55/2.79 tff(3384,plain,
% 2.55/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.55/2.79 inference(rewrite,[status(thm)],[])).
% 2.55/2.79 tff(3385,plain,
% 2.55/2.79 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.80 inference(rewrite,[status(thm)],[])).
% 2.65/2.80 tff(3386,plain,
% 2.65/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))))),
% 2.65/2.80 inference(monotonicity,[status(thm)],[3385])).
% 2.65/2.80 tff(3387,plain,
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% 2.65/2.80 inference(transitivity,[status(thm)],[3386, 3384])).
% 2.65/2.80 tff(3388,plain,
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% 2.65/2.80 tff(3389,plain,
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% 2.65/2.80 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 2.65/2.80 tff(3390,plain,
% 2.65/2.80 ($false),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3389, 213, 1, 1507, 3383, 856, 7, 467, 2812])).
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% 2.65/2.80 tff(3392,plain,
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% 2.65/2.80 tff(3393,plain,
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% 2.65/2.80 inference(unit_resolution,[status(thm)],[484, 3392])).
% 2.65/2.80 tff(3394,plain,
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% 2.65/2.80 tff(3395,plain,
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% 2.65/2.80 inference(unit_resolution,[status(thm)],[279, 3394])).
% 2.65/2.80 tff(3396,plain,
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% 2.65/2.80 tff(3397,plain,
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% 2.65/2.80 tff(3406,plain,
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% 2.65/2.80 tff(3407,assumption,(~b(s(z), s(s(s(s(s(s(s(z))))))))), introduced(assumption)).
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% 2.65/2.80 tff(3411,plain,(~(s(z) = s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
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% 2.65/2.80 tff(3418,plain,
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% 2.65/2.80 tff(3427,plain,
% 2.65/2.80 ($false),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[316, 3426, 3421])).
% 2.65/2.80 tff(3428,plain,((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.80 tff(3429,plain,
% 2.65/2.80 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3428, 11, 10, 9, 2, 7])).
% 2.65/2.80 tff(3430,plain,
% 2.65/2.80 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[819, 3429])).
% 2.65/2.80 tff(3431,plain,
% 2.65/2.80 (~b(s(s(s(s(z)))), z)),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3089, 3430, 7, 2642, 3377])).
% 2.65/2.80 tff(3432,plain,
% 2.65/2.80 (r(s(s(s(s(z)))), z)),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[170, 3431])).
% 2.65/2.80 tff(3433,plain,
% 2.65/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.80 inference(rewrite,[status(thm)],[])).
% 2.65/2.80 tff(3434,plain,
% 2.65/2.80 (((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.80 inference(rewrite,[status(thm)],[])).
% 2.65/2.80 tff(3435,plain,
% 2.65/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.65/2.80 inference(monotonicity,[status(thm)],[3434])).
% 2.65/2.80 tff(3436,plain,
% 2.65/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.80 inference(transitivity,[status(thm)],[3435, 3433])).
% 2.65/2.80 tff(3437,plain,
% 2.65/2.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))),
% 2.65/2.80 inference(quant_inst,[status(thm)],[])).
% 2.65/2.80 tff(3438,plain,
% 2.65/2.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.65/2.80 inference(modus_ponens,[status(thm)],[3437, 3436])).
% 2.65/2.80 tff(3439,plain,
% 2.65/2.80 ($false),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3438, 76, 3432, 3375, 3373, 3371])).
% 2.65/2.80 tff(3440,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.80 tff(3441,plain,
% 2.65/2.80 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3440, 2, 10, 9, 7])).
% 2.65/2.80 tff(3442,plain,
% 2.65/2.80 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[596, 3441])).
% 2.65/2.80 tff(3443,plain,
% 2.65/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.80 inference(rewrite,[status(thm)],[])).
% 2.65/2.80 tff(3444,plain,
% 2.65/2.80 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.80 inference(rewrite,[status(thm)],[])).
% 2.65/2.80 tff(3445,plain,
% 2.65/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.65/2.80 inference(monotonicity,[status(thm)],[3444])).
% 2.65/2.80 tff(3446,plain,
% 2.65/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.80 inference(transitivity,[status(thm)],[3445, 3443])).
% 2.65/2.80 tff(3447,plain,
% 2.65/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.65/2.80 inference(quant_inst,[status(thm)],[])).
% 2.65/2.80 tff(3448,plain,
% 2.65/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.65/2.80 inference(modus_ponens,[status(thm)],[3447, 3446])).
% 2.65/2.80 tff(3449,plain,
% 2.65/2.80 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3448, 213, 506, 1507, 203])).
% 2.65/2.80 tff(3450,plain,
% 2.65/2.80 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[1871, 3449])).
% 2.65/2.80 tff(3451,plain,
% 2.65/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.80 inference(rewrite,[status(thm)],[])).
% 2.65/2.80 tff(3452,plain,
% 2.65/2.80 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.80 inference(rewrite,[status(thm)],[])).
% 2.65/2.80 tff(3453,plain,
% 2.65/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.65/2.80 inference(monotonicity,[status(thm)],[3452])).
% 2.65/2.80 tff(3454,plain,
% 2.65/2.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.80 inference(transitivity,[status(thm)],[3453, 3451])).
% 2.65/2.80 tff(3455,plain,
% 2.65/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 2.65/2.80 inference(quant_inst,[status(thm)],[])).
% 2.65/2.80 tff(3456,plain,
% 2.65/2.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.65/2.80 inference(modus_ponens,[status(thm)],[3455, 3454])).
% 2.65/2.80 tff(3457,plain,
% 2.65/2.80 ($false),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3456, 213, 506, 1507, 203, 2305])).
% 2.65/2.80 tff(3458,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.80 tff(3459,plain,
% 2.65/2.80 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3458, 1507, 203, 506])).
% 2.65/2.80 tff(3460,plain,
% 2.65/2.80 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[2750, 3459])).
% 2.65/2.80 tff(3461,plain,
% 2.65/2.80 ($false),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[571, 76, 10, 2823, 3460, 3450])).
% 2.65/2.80 tff(3462,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.80 tff(3463,plain,
% 2.65/2.80 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[3462, 3442, 10, 3073, 7])).
% 2.65/2.80 tff(3464,plain,
% 2.65/2.80 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.80 inference(unit_resolution,[status(thm)],[1042, 3463])).
% 2.65/2.80 tff(3465,plain,
% 2.65/2.80 (~r(s(z), s(s(s(z))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2948, 3464, 3442, 9, 2, 7])).
% 2.65/2.81 tff(3466,plain,
% 2.65/2.81 (b(s(z), s(s(s(z))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[564, 3465])).
% 2.65/2.81 tff(3467,plain,
% 2.65/2.81 (~b(s(s(s(s(z)))), z)),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[221, 202, 7, 203])).
% 2.65/2.81 tff(3468,plain,
% 2.65/2.81 (r(s(s(s(s(z)))), z)),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[170, 3467])).
% 2.65/2.81 tff(3469,plain,
% 2.65/2.81 (~b(s(s(s(z))), z)),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[1949, 202, 7, 506])).
% 2.65/2.81 tff(3470,plain,
% 2.65/2.81 (r(s(s(s(z))), z)),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2303, 3469])).
% 2.65/2.81 tff(3471,plain,
% 2.65/2.81 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2935, 3470, 10, 3468])).
% 2.65/2.81 tff(3472,plain,
% 2.65/2.81 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[1871, 3471])).
% 2.65/2.81 tff(3473,plain,
% 2.65/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3474,plain,
% 2.65/2.81 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3475,plain,
% 2.65/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.65/2.81 inference(monotonicity,[status(thm)],[3474])).
% 2.65/2.81 tff(3476,plain,
% 2.65/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.81 inference(transitivity,[status(thm)],[3475, 3473])).
% 2.65/2.81 tff(3477,plain,
% 2.65/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.65/2.81 inference(quant_inst,[status(thm)],[])).
% 2.65/2.81 tff(3478,plain,
% 2.65/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.65/2.81 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 2.65/2.81 tff(3479,plain,
% 2.65/2.81 ($false),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3478, 213, 506, 7, 203, 202, 3472])).
% 2.65/2.81 tff(3480,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.81 tff(3481,plain,
% 2.65/2.81 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3480, 3442, 7, 3073, 10])).
% 2.65/2.81 tff(3482,plain,
% 2.65/2.81 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[233, 3481])).
% 2.65/2.81 tff(3483,plain,
% 2.65/2.81 (~b(z, s(s(s(z))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2797, 1016, 7, 3442])).
% 2.65/2.81 tff(3484,plain,
% 2.65/2.81 (r(z, s(s(s(z))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[581, 3483])).
% 2.65/2.81 tff(3485,plain,
% 2.65/2.81 ($false),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2385, 76, 10, 738, 1028, 691, 1556])).
% 2.65/2.81 tff(3486,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.81 tff(3487,plain,
% 2.65/2.81 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3486, 3484, 3482, 3464, 10])).
% 2.65/2.81 tff(3488,plain,
% 2.65/2.81 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[1871, 3487])).
% 2.65/2.81 tff(3489,plain,
% 2.65/2.81 (~r(s(z), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[163, 155, 10, 2])).
% 2.65/2.81 tff(3490,plain,
% 2.65/2.81 (b(s(z), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[796, 3489])).
% 2.65/2.81 tff(3491,plain,
% 2.65/2.81 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2357, 3490, 2350, 856])).
% 2.65/2.81 tff(3492,plain,
% 2.65/2.81 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2750, 3491])).
% 2.65/2.81 tff(3493,plain,
% 2.65/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3494,plain,
% 2.65/2.81 (((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3495,plain,
% 2.65/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.65/2.81 inference(monotonicity,[status(thm)],[3494])).
% 2.65/2.81 tff(3496,plain,
% 2.65/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.81 inference(transitivity,[status(thm)],[3495, 3493])).
% 2.65/2.81 tff(3497,plain,
% 2.65/2.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))))),
% 2.65/2.81 inference(quant_inst,[status(thm)],[])).
% 2.65/2.81 tff(3498,plain,
% 2.65/2.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.65/2.81 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 2.65/2.81 tff(3499,plain,
% 2.65/2.81 (~r(s(s(s(s(z)))), s(z))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3498, 76, 2, 155, 691, 3492])).
% 2.65/2.81 tff(3500,plain,
% 2.65/2.81 (b(s(s(s(s(z)))), s(z))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[115, 3499])).
% 2.65/2.81 tff(3501,plain,
% 2.65/2.81 ($false),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2716, 213, 3490, 3500, 856, 2350])).
% 2.65/2.81 tff(3502,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.81 tff(3503,plain,
% 2.65/2.81 (~r(s(s(s(s(z)))), z)),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3502, 3488, 3466, 2, 3484, 10])).
% 2.65/2.81 tff(3504,plain,
% 2.65/2.81 (b(s(s(s(s(z)))), z)),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[170, 3503])).
% 2.65/2.81 tff(3505,plain,
% 2.65/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3506,plain,
% 2.65/2.81 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3507,plain,
% 2.65/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~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(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.65/2.81 inference(monotonicity,[status(thm)],[3506])).
% 2.65/2.81 tff(3508,plain,
% 2.65/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~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(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.81 inference(transitivity,[status(thm)],[3507, 3505])).
% 2.65/2.81 tff(3509,plain,
% 2.65/2.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))))),
% 2.65/2.81 inference(quant_inst,[status(thm)],[])).
% 2.65/2.81 tff(3510,plain,
% 2.65/2.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.65/2.81 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 2.65/2.81 tff(3511,plain,
% 2.65/2.81 (~r(z, s(z))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3510, 76, 3482, 3464, 3484, 9])).
% 2.65/2.81 tff(3512,plain,
% 2.65/2.81 (b(z, s(z))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[370, 3511])).
% 2.65/2.81 tff(3513,plain,
% 2.65/2.81 (~b(s(z), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[1142, 284, 191, 3512])).
% 2.65/2.81 tff(3514,plain,
% 2.65/2.81 (r(s(z), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[796, 3513])).
% 2.65/2.81 tff(3515,plain,
% 2.65/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3516,plain,
% 2.65/2.81 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(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(s(z)))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3517,plain,
% 2.65/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.65/2.81 inference(monotonicity,[status(thm)],[3516])).
% 2.65/2.81 tff(3518,plain,
% 2.65/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.81 inference(transitivity,[status(thm)],[3517, 3515])).
% 2.65/2.81 tff(3519,plain,
% 2.65/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(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(s(z))))))))))),
% 2.65/2.81 inference(quant_inst,[status(thm)],[])).
% 2.65/2.81 tff(3520,plain,
% 2.65/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.65/2.81 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 2.65/2.81 tff(3521,plain,
% 2.65/2.81 ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3520, 213, 191, 3466, 7, 3073, 1016])).
% 2.65/2.81 tff(3522,plain,
% 2.65/2.81 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3521, 284])).
% 2.65/2.81 tff(3523,plain,
% 2.65/2.81 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[450, 3522])).
% 2.65/2.81 tff(3524,plain,
% 2.65/2.81 ($false),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3109, 3523, 3514, 7, 2, 9, 284, 10])).
% 2.65/2.81 tff(3525,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.81 tff(3526,plain,
% 2.65/2.81 (~b(s(s(s(s(z)))), s(z))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3525, 3504, 2, 9, 10, 7, 1016])).
% 2.65/2.81 tff(3527,plain,
% 2.65/2.81 (r(s(s(s(s(z)))), s(z))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[115, 3526])).
% 2.65/2.81 tff(3528,plain,
% 2.65/2.81 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[242, 117, 2, 9, 7, 191])).
% 2.65/2.81 tff(3529,plain,
% 2.65/2.81 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[590, 117, 10, 3442, 16, 3073])).
% 2.65/2.81 tff(3530,plain,
% 2.65/2.81 ($false),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[250, 3529, 3528])).
% 2.65/2.81 tff(3531,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.81 tff(3532,plain,
% 2.65/2.81 (~r(s(z), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[3531, 3527, 10, 2, 9, 7, 3504])).
% 2.65/2.81 tff(3533,plain,
% 2.65/2.81 (b(s(z), s(s(s(s(z)))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[796, 3532])).
% 2.65/2.81 tff(3534,plain,
% 2.65/2.81 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2357, 3533, 3488, 3466])).
% 2.65/2.81 tff(3535,plain,
% 2.65/2.81 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.81 inference(unit_resolution,[status(thm)],[2750, 3534])).
% 2.65/2.81 tff(3536,plain,
% 2.65/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3537,plain,
% 2.65/2.81 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(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(s(z)))))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.81 inference(rewrite,[status(thm)],[])).
% 2.65/2.81 tff(3538,plain,
% 2.65/2.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.65/2.82 inference(monotonicity,[status(thm)],[3537])).
% 2.65/2.82 tff(3539,plain,
% 2.65/2.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.82 inference(transitivity,[status(thm)],[3538, 3536])).
% 2.65/2.82 tff(3540,plain,
% 2.65/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(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(s(z))))))))))),
% 2.65/2.82 inference(quant_inst,[status(thm)],[])).
% 2.65/2.82 tff(3541,plain,
% 2.65/2.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.65/2.82 inference(modus_ponens,[status(thm)],[3540, 3539])).
% 2.65/2.82 tff(3542,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3541, 76, 10, 738, 5, 691, 2410])).
% 2.65/2.82 tff(3543,plain,((~r(s(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(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3544,plain,
% 2.65/2.82 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3543, 3484, 3482, 10, 3535])).
% 2.65/2.82 tff(3545,plain,
% 2.65/2.82 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[250, 3544])).
% 2.65/2.82 tff(3546,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[512, 213, 3442, 3545, 3073, 3488])).
% 2.65/2.82 tff(3547,plain,((~b(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3548,plain,
% 2.65/2.82 (~b(s(s(s(z))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3547, 2, 10, 9, 7])).
% 2.65/2.82 tff(3549,plain,
% 2.65/2.82 (r(s(s(s(z))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2303, 3548])).
% 2.65/2.82 tff(3550,plain,
% 2.65/2.82 (~r(s(s(s(z))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2775, 12, 350, 2])).
% 2.65/2.82 tff(3551,plain,
% 2.65/2.82 (b(s(s(s(z))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2303, 3550])).
% 2.65/2.82 tff(3552,plain,
% 2.65/2.82 (~b(z, s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2797, 3551, 7, 506])).
% 2.65/2.82 tff(3553,plain,
% 2.65/2.82 (r(z, s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[581, 3552])).
% 2.65/2.82 tff(3554,plain,
% 2.65/2.82 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[1749, 738, 9, 350])).
% 2.65/2.82 tff(3555,plain,
% 2.65/2.82 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[450, 3554])).
% 2.65/2.82 tff(3556,plain,
% 2.65/2.82 (~r(s(z), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2880, 3553, 350, 12])).
% 2.65/2.82 tff(3557,plain,
% 2.65/2.82 (b(s(z), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[564, 3556])).
% 2.65/2.82 tff(3558,plain,
% 2.65/2.82 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2366, 3557, 506, 3555])).
% 2.65/2.82 tff(3559,plain,
% 2.65/2.82 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[1042, 3558])).
% 2.65/2.82 tff(3560,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3510, 76, 350, 738, 3559, 3553, 9])).
% 2.65/2.82 tff(3561,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3562,plain,
% 2.65/2.82 (~r(s(s(s(z))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3561, 350, 738, 9, 506, 7, 2])).
% 2.65/2.82 tff(3563,plain,
% 2.65/2.82 (b(s(s(s(z))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[535, 3562])).
% 2.65/2.82 tff(3564,plain,
% 2.65/2.82 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[1749, 350, 9, 738])).
% 2.65/2.82 tff(3565,plain,
% 2.65/2.82 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[450, 3564])).
% 2.65/2.82 tff(3566,plain,
% 2.65/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.82 inference(rewrite,[status(thm)],[])).
% 2.65/2.82 tff(3567,plain,
% 2.65/2.82 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.82 inference(rewrite,[status(thm)],[])).
% 2.65/2.82 tff(3568,plain,
% 2.65/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.65/2.82 inference(monotonicity,[status(thm)],[3567])).
% 2.65/2.82 tff(3569,plain,
% 2.65/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.82 inference(transitivity,[status(thm)],[3568, 3566])).
% 2.65/2.82 tff(3570,plain,
% 2.65/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.82 inference(quant_inst,[status(thm)],[])).
% 2.65/2.82 tff(3571,plain,
% 2.65/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.65/2.82 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 2.65/2.82 tff(3572,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3571, 213, 506, 3565, 856, 3563])).
% 2.65/2.82 tff(3573,plain,((~r(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3574,plain,
% 2.65/2.82 (~r(z, s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3573, 3442, 3466, 9, 3482, 7, 2])).
% 2.65/2.82 tff(3575,plain,
% 2.65/2.82 (b(z, s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[370, 3574])).
% 2.65/2.82 tff(3576,plain,
% 2.65/2.82 (~b(s(s(s(z))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3139, 1065, 3482, 2, 3549, 9, 3575])).
% 2.65/2.82 tff(3577,plain,
% 2.65/2.82 (r(s(s(s(z))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[535, 3576])).
% 2.65/2.82 tff(3578,plain,
% 2.65/2.82 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2538, 3490, 3073, 284])).
% 2.65/2.82 tff(3579,plain,
% 2.65/2.82 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[450, 3578])).
% 2.65/2.82 tff(3580,plain,
% 2.65/2.82 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2864, 3490, 9, 3575, 284, 2642, 10])).
% 2.65/2.82 tff(3581,plain,
% 2.65/2.82 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[484, 3580])).
% 2.65/2.82 tff(3582,plain,
% 2.65/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.82 inference(rewrite,[status(thm)],[])).
% 2.65/2.82 tff(3583,plain,
% 2.65/2.82 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.82 inference(rewrite,[status(thm)],[])).
% 2.65/2.82 tff(3584,plain,
% 2.65/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.65/2.82 inference(monotonicity,[status(thm)],[3583])).
% 2.65/2.82 tff(3585,plain,
% 2.65/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.82 inference(transitivity,[status(thm)],[3584, 3582])).
% 2.65/2.82 tff(3586,plain,
% 2.65/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.82 inference(quant_inst,[status(thm)],[])).
% 2.65/2.82 tff(3587,plain,
% 2.65/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.65/2.82 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 2.65/2.82 tff(3588,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3587, 213, 1065, 7, 467, 2812, 1016])).
% 2.65/2.82 tff(3589,plain,((~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3590,plain,
% 2.65/2.82 (~b(s(s(s(z))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3589, 1065, 7, 467, 3079])).
% 2.65/2.82 tff(3591,plain,
% 2.65/2.82 (r(s(s(s(z))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2303, 3590])).
% 2.65/2.82 tff(3592,plain,
% 2.65/2.82 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2935, 3591, 155, 10])).
% 2.65/2.82 tff(3593,plain,
% 2.65/2.82 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[1871, 3592])).
% 2.65/2.82 tff(3594,plain,
% 2.65/2.82 (~r(s(z), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3109, 7, 284, 2, 9, 15, 10])).
% 2.65/2.82 tff(3595,plain,
% 2.65/2.82 (b(s(z), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[796, 3594])).
% 2.65/2.82 tff(3596,plain,
% 2.65/2.82 (~b(s(s(s(z))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2731, 213, 3595, 284, 3593])).
% 2.65/2.82 tff(3597,plain,
% 2.65/2.82 (r(s(s(s(z))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[535, 3596])).
% 2.65/2.82 tff(3598,plain,
% 2.65/2.82 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[682, 3597, 15, 9])).
% 2.65/2.82 tff(3599,plain,
% 2.65/2.82 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[596, 3598])).
% 2.65/2.82 tff(3600,plain,
% 2.65/2.82 (~b(s(z), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2716, 213, 3595, 284, 3593])).
% 2.65/2.82 tff(3601,plain,
% 2.65/2.82 (r(s(z), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[564, 3600])).
% 2.65/2.82 tff(3602,plain,
% 2.65/2.82 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2298, 3601, 2, 3591, 9])).
% 2.65/2.82 tff(3603,plain,
% 2.65/2.82 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[1042, 3602])).
% 2.65/2.82 tff(3604,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2493, 3603, 3599, 1065, 7])).
% 2.65/2.82 tff(3605,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3606,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3605, 3581, 3579, 2, 9, 1065, 284, 7, 10, 155])).
% 2.65/2.82 tff(3607,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3608,plain,
% 2.65/2.82 (~r(s(s(s(s(z)))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3607, 284, 9, 1065, 2, 7, 10])).
% 2.65/2.82 tff(3609,plain,
% 2.65/2.82 (b(s(s(s(s(z)))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[170, 3608])).
% 2.65/2.82 tff(3610,plain,
% 2.65/2.82 (~b(s(z), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[1142, 3609, 284, 3575])).
% 2.65/2.82 tff(3611,plain,
% 2.65/2.82 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[1005, 117, 10, 3442, 2, 1, 12, 3073])).
% 2.65/2.82 tff(3612,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[250, 3611, 3528])).
% 2.65/2.82 tff(3613,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3614,plain,
% 2.65/2.82 (~r(s(z), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3613, 3609, 2, 3575, 3577, 9, 7, 10])).
% 2.65/2.82 tff(3615,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[796, 3614, 3610])).
% 2.65/2.82 tff(3616,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3617,plain,
% 2.65/2.82 (~b(s(s(s(s(z)))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3616, 1065, 9, 7, 10, 2])).
% 2.65/2.82 tff(3618,plain,
% 2.65/2.82 (r(s(s(s(s(z)))), s(z))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[115, 3617])).
% 2.65/2.82 tff(3619,plain,
% 2.65/2.82 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2125, 76, 2, 3618, 3577, 3549])).
% 2.65/2.82 tff(3620,plain,
% 2.65/2.82 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[1871, 3619])).
% 2.65/2.82 tff(3621,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[512, 213, 506, 468, 203, 2350])).
% 2.65/2.82 tff(3622,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3623,plain,
% 2.65/2.82 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3622, 3620, 3073, 3442])).
% 2.65/2.82 tff(3624,plain,
% 2.65/2.82 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[250, 3623])).
% 2.65/2.82 tff(3625,plain,
% 2.65/2.82 (~b(s(s(s(s(z)))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[242, 117, 2, 9, 7, 5])).
% 2.65/2.82 tff(3626,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[170, 3625, 164])).
% 2.65/2.82 tff(3627,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3628,plain,
% 2.65/2.82 (~r(s(z), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3627, 3624, 9, 7, 2, 10])).
% 2.65/2.82 tff(3629,plain,
% 2.65/2.82 (b(s(z), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[796, 3628])).
% 2.65/2.82 tff(3630,plain,
% 2.65/2.82 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2357, 3629, 3620, 3466])).
% 2.65/2.82 tff(3631,plain,
% 2.65/2.82 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[2750, 3630])).
% 2.65/2.82 tff(3632,plain,
% 2.65/2.82 ($false),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3291, 76, 2, 16, 155, 12, 2410])).
% 2.65/2.82 tff(3633,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.82 tff(3634,plain,
% 2.65/2.82 (~r(s(s(s(s(z)))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3633, 3618, 2, 3577, 3631])).
% 2.65/2.82 tff(3635,plain,
% 2.65/2.82 (b(s(s(s(s(z)))), z)),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[170, 3634])).
% 2.65/2.82 tff(3636,plain,
% 2.65/2.82 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[790, 3, 203, 782])).
% 2.65/2.82 tff(3637,plain,
% 2.65/2.82 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[250, 3636])).
% 2.65/2.82 tff(3638,plain,
% 2.65/2.82 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[3480, 506, 7, 203, 10])).
% 2.65/2.82 tff(3639,plain,
% 2.65/2.82 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[233, 3638])).
% 2.65/2.82 tff(3640,plain,
% 2.65/2.82 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.82 inference(unit_resolution,[status(thm)],[819, 2821])).
% 2.65/2.83 tff(3641,assumption,(s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))), introduced(assumption)).
% 2.65/2.83 tff(3642,plain,
% 2.65/2.83 (s(s(s(s(s(s(s(s(s(z))))))))) = s(s(s(z)))),
% 2.65/2.83 inference(symmetry,[status(thm)],[3641])).
% 2.65/2.83 tff(3643,plain,
% 2.65/2.83 ($false),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[65, 3642])).
% 2.65/2.83 tff(3644,plain,(~(s(s(s(z))) = s(s(s(s(s(s(s(s(s(z))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.83 tff(3645,assumption,(r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.65/2.83 tff(3646,plain,
% 2.65/2.83 (((~![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(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3647,plain,
% 2.65/2.83 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), z))) <=> ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3648,plain,
% 2.65/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(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(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.65/2.83 inference(monotonicity,[status(thm)],[3647])).
% 2.65/2.83 tff(3649,plain,
% 2.65/2.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(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(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.65/2.83 inference(transitivity,[status(thm)],[3648, 3646])).
% 2.65/2.83 tff(3650,plain,
% 2.65/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), z)))),
% 2.65/2.83 inference(quant_inst,[status(thm)],[])).
% 2.65/2.83 tff(3651,plain,
% 2.65/2.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.65/2.83 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 2.65/2.83 tff(3652,plain,
% 2.65/2.83 ($false),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[3651, 76, 706, 3645, 12, 282, 2296])).
% 2.65/2.83 tff(3653,plain,((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.83 tff(3654,plain,
% 2.65/2.83 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[3653, 706, 2296, 12, 282])).
% 2.65/2.83 tff(3655,plain,
% 2.65/2.83 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[853, 110, 3654, 3644])).
% 2.65/2.83 tff(3656,plain,
% 2.65/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3657,plain,
% 2.65/2.83 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3658,plain,
% 2.65/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))))),
% 2.65/2.83 inference(monotonicity,[status(thm)],[3657])).
% 2.65/2.83 tff(3659,plain,
% 2.65/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.65/2.83 inference(transitivity,[status(thm)],[3658, 3656])).
% 2.65/2.83 tff(3660,plain,
% 2.65/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 2.65/2.83 inference(quant_inst,[status(thm)],[])).
% 2.65/2.83 tff(3661,plain,
% 2.65/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))),
% 2.65/2.83 inference(modus_ponens,[status(thm)],[3660, 3659])).
% 2.65/2.83 tff(3662,plain,
% 2.65/2.83 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[3661, 213, 191, 506, 1065, 203, 467, 2812])).
% 2.65/2.83 tff(3663,plain,
% 2.65/2.83 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[338, 3662])).
% 2.65/2.83 tff(3664,plain,
% 2.65/2.83 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[2558, 3663, 16, 706])).
% 2.65/2.83 tff(3665,plain,
% 2.65/2.83 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[279, 3664])).
% 2.65/2.83 tff(3666,plain,
% 2.65/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3667,plain,
% 2.65/2.83 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3668,plain,
% 2.65/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))))),
% 2.65/2.83 inference(monotonicity,[status(thm)],[3667])).
% 2.65/2.83 tff(3669,plain,
% 2.65/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.65/2.83 inference(transitivity,[status(thm)],[3668, 3666])).
% 2.65/2.83 tff(3670,plain,
% 2.65/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.65/2.83 inference(quant_inst,[status(thm)],[])).
% 2.65/2.83 tff(3671,plain,
% 2.65/2.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))),
% 2.65/2.83 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 2.65/2.83 tff(3672,plain,
% 2.65/2.83 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[3671, 213, 191, 506, 1065, 203, 467, 2812])).
% 2.65/2.83 tff(3673,plain,
% 2.65/2.83 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[316, 3672])).
% 2.65/2.83 tff(3674,plain,
% 2.65/2.83 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[2357, 782, 2350, 856])).
% 2.65/2.83 tff(3675,plain,
% 2.65/2.83 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[2750, 3674])).
% 2.65/2.83 tff(3676,plain,
% 2.65/2.83 (((~![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(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3677,plain,
% 2.65/2.83 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3678,plain,
% 2.65/2.83 (((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.65/2.83 inference(monotonicity,[status(thm)],[3677])).
% 2.65/2.83 tff(3679,plain,
% 2.65/2.83 (((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.65/2.83 inference(transitivity,[status(thm)],[3678, 3676])).
% 2.65/2.83 tff(3680,plain,
% 2.65/2.83 ((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.65/2.83 inference(quant_inst,[status(thm)],[])).
% 2.65/2.83 tff(3681,plain,
% 2.65/2.83 ((~![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(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.65/2.83 inference(modus_ponens,[status(thm)],[3680, 3679])).
% 2.65/2.83 tff(3682,plain,
% 2.65/2.83 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[3681, 76, 706, 12, 3675])).
% 2.65/2.83 tff(3683,plain,
% 2.65/2.83 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[3682, 3673])).
% 2.65/2.83 tff(3684,plain,
% 2.65/2.83 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.65/2.83 inference(unit_resolution,[status(thm)],[653, 3683])).
% 2.65/2.83 tff(3685,plain,
% 2.65/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3686,plain,
% 2.65/2.83 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.83 inference(rewrite,[status(thm)],[])).
% 2.65/2.83 tff(3687,plain,
% 2.65/2.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 2.65/2.84 inference(monotonicity,[status(thm)],[3686])).
% 2.65/2.84 tff(3688,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.84 inference(transitivity,[status(thm)],[3687, 3685])).
% 2.65/2.84 tff(3689,plain,
% 2.65/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.84 inference(quant_inst,[status(thm)],[])).
% 2.65/2.84 tff(3690,plain,
% 2.65/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 2.65/2.84 inference(modus_ponens,[status(thm)],[3689, 3688])).
% 2.65/2.84 tff(3691,plain,
% 2.65/2.84 ($false),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3690, 213, 782, 3684, 856, 3665, 3655, 2350])).
% 2.65/2.84 tff(3692,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.84 tff(3693,plain,
% 2.65/2.84 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3692, 467, 856, 2350, 16, 12, 191, 506, 1065, 203, 782, 2812, 2296, 3640])).
% 2.65/2.84 tff(3694,plain,
% 2.65/2.84 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[610, 3693])).
% 2.65/2.84 tff(3695,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3696,plain,
% 2.65/2.84 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3697,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.65/2.84 inference(monotonicity,[status(thm)],[3696])).
% 2.65/2.84 tff(3698,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.65/2.84 inference(transitivity,[status(thm)],[3697, 3695])).
% 2.65/2.84 tff(3699,plain,
% 2.65/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(quant_inst,[status(thm)],[])).
% 2.65/2.84 tff(3700,plain,
% 2.65/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 2.65/2.84 inference(modus_ponens,[status(thm)],[3699, 3698])).
% 2.65/2.84 tff(3701,plain,
% 2.65/2.84 ($false),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3700, 213, 782, 191, 3694, 3, 7, 467, 2812])).
% 2.65/2.84 tff(3702,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.84 tff(3703,plain,
% 2.65/2.84 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3702, 3, 191, 782, 7, 2812, 856, 2350, 16, 12, 506, 1065, 203, 2296])).
% 2.65/2.84 tff(3704,plain,
% 2.65/2.84 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[484, 3703])).
% 2.65/2.84 tff(3705,plain,
% 2.65/2.84 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[1616, 3704, 10, 3639, 3637])).
% 2.65/2.84 tff(3706,plain,
% 2.65/2.84 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[819, 3705])).
% 2.65/2.84 tff(3707,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3708,plain,
% 2.65/2.84 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3709,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.65/2.84 inference(monotonicity,[status(thm)],[3708])).
% 2.65/2.84 tff(3710,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.65/2.84 inference(transitivity,[status(thm)],[3709, 3707])).
% 2.65/2.84 tff(3711,plain,
% 2.65/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.84 inference(quant_inst,[status(thm)],[])).
% 2.65/2.84 tff(3712,plain,
% 2.65/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.65/2.84 inference(modus_ponens,[status(thm)],[3711, 3710])).
% 2.65/2.84 tff(3713,plain,
% 2.65/2.84 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3712, 213, 1, 3, 7, 2812, 3706])).
% 2.65/2.84 tff(3714,plain,
% 2.65/2.84 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[436, 3713])).
% 2.65/2.84 tff(3715,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3716,plain,
% 2.65/2.84 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3717,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 2.65/2.84 inference(monotonicity,[status(thm)],[3716])).
% 2.65/2.84 tff(3718,plain,
% 2.65/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.84 inference(transitivity,[status(thm)],[3717, 3715])).
% 2.65/2.84 tff(3719,plain,
% 2.65/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))),
% 2.65/2.84 inference(quant_inst,[status(thm)],[])).
% 2.65/2.84 tff(3720,plain,
% 2.65/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 2.65/2.84 inference(modus_ponens,[status(thm)],[3719, 3718])).
% 2.65/2.84 tff(3721,plain,
% 2.65/2.84 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3720, 213, 1, 1065, 856, 2812, 3706])).
% 2.65/2.84 tff(3722,plain,
% 2.65/2.84 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[279, 3721])).
% 2.65/2.84 tff(3723,plain,
% 2.65/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3724,plain,
% 2.65/2.84 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3725,plain,
% 2.65/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.65/2.84 inference(monotonicity,[status(thm)],[3724])).
% 2.65/2.84 tff(3726,plain,
% 2.65/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(transitivity,[status(thm)],[3725, 3723])).
% 2.65/2.84 tff(3727,plain,
% 2.65/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.84 inference(quant_inst,[status(thm)],[])).
% 2.65/2.84 tff(3728,plain,
% 2.65/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.65/2.84 inference(modus_ponens,[status(thm)],[3727, 3726])).
% 2.65/2.84 tff(3729,plain,
% 2.65/2.84 ($false),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3728, 76, 3722, 3704, 3714, 9])).
% 2.65/2.84 tff(3730,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.84 tff(3731,plain,
% 2.65/2.84 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3730, 3635, 3575, 1065, 3466, 2642, 7, 10, 9, 3629, 3620, 3618, 3577, 3442, 3073, 3549])).
% 2.65/2.84 tff(3732,plain,
% 2.65/2.84 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[450, 3731])).
% 2.65/2.84 tff(3733,plain,
% 2.65/2.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3734,plain,
% 2.65/2.84 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.65/2.84 inference(rewrite,[status(thm)],[])).
% 2.65/2.84 tff(3735,plain,
% 2.65/2.84 (((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.65/2.84 inference(monotonicity,[status(thm)],[3734])).
% 2.65/2.84 tff(3736,plain,
% 2.65/2.84 (((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.65/2.84 inference(transitivity,[status(thm)],[3735, 3733])).
% 2.65/2.84 tff(3737,plain,
% 2.65/2.84 ((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.65/2.84 inference(quant_inst,[status(thm)],[])).
% 2.65/2.84 tff(3738,plain,
% 2.65/2.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.65/2.84 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 2.65/2.84 tff(3739,plain,
% 2.65/2.84 ($false),
% 2.65/2.84 inference(unit_resolution,[status(thm)],[3738, 76, 3732, 3624, 3464, 3577, 3631])).
% 2.65/2.85 tff(3740,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.85 tff(3741,plain,
% 2.65/2.85 (~b(z, s(s(s(z))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3740, 2, 10, 9, 7])).
% 2.65/2.85 tff(3742,plain,
% 2.65/2.85 (r(z, s(s(s(z))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[581, 3741])).
% 2.65/2.85 tff(3743,plain,
% 2.65/2.85 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3486, 3742, 3482, 3464, 10])).
% 2.65/2.85 tff(3744,plain,
% 2.65/2.85 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[1871, 3743])).
% 2.65/2.85 tff(3745,plain,
% 2.65/2.85 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3622, 3744, 3073, 3442])).
% 2.65/2.85 tff(3746,plain,
% 2.65/2.85 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[250, 3745])).
% 2.65/2.85 tff(3747,plain,
% 2.65/2.85 (~r(s(s(s(s(z)))), z)),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3502, 3744, 3466, 2, 3742, 10])).
% 2.65/2.85 tff(3748,plain,
% 2.65/2.85 (b(s(s(s(s(z)))), z)),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[170, 3747])).
% 2.65/2.85 tff(3749,plain,
% 2.65/2.85 (~r(s(z), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[242, 3748, 2, 9, 7, 3746])).
% 2.65/2.85 tff(3750,plain,
% 2.65/2.85 (b(s(z), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[796, 3749])).
% 2.65/2.85 tff(3751,plain,
% 2.65/2.85 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3543, 3746, 3482, 10, 3742])).
% 2.65/2.85 tff(3752,plain,
% 2.65/2.85 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[2750, 3751])).
% 2.65/2.85 tff(3753,plain,
% 2.65/2.85 ($false),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[2357, 3752, 3750, 3744, 3466])).
% 2.65/2.85 tff(3754,plain,((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.85 tff(3755,plain,
% 2.65/2.85 (~r(s(z), z)),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3754, 10, 9, 7])).
% 2.65/2.85 tff(3756,plain,
% 2.65/2.85 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = z) | b(s(z), z) | r(s(z), z))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = z) | b(s(z), z) | r(s(z), z))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3757,plain,
% 2.65/2.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((s(z) = z) | b(s(z), z) | r(s(z), z))),
% 2.65/2.85 inference(quant_inst,[status(thm)],[])).
% 2.65/2.85 tff(3758,plain,
% 2.65/2.85 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (s(z) = z) | b(s(z), z) | r(s(z), z)),
% 2.65/2.85 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 2.65/2.85 tff(3759,plain,
% 2.65/2.85 (b(s(z), z) | r(s(z), z)),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3758, 110, 364])).
% 2.65/2.85 tff(3760,plain,
% 2.65/2.85 (b(s(z), z)),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3759, 3755])).
% 2.65/2.85 tff(3761,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3762,plain,
% 2.65/2.85 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3763,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.65/2.85 inference(monotonicity,[status(thm)],[3762])).
% 2.65/2.85 tff(3764,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.85 inference(transitivity,[status(thm)],[3763, 3761])).
% 2.65/2.85 tff(3765,plain,
% 2.65/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.65/2.85 inference(quant_inst,[status(thm)],[])).
% 2.65/2.85 tff(3766,plain,
% 2.65/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.65/2.85 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 2.65/2.85 tff(3767,plain,
% 2.65/2.85 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3766, 213, 3760, 7, 1410])).
% 2.65/2.85 tff(3768,plain,
% 2.65/2.85 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[450, 3767])).
% 2.65/2.85 tff(3769,plain,
% 2.65/2.85 (~r(s(s(s(z))), s(z))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[682, 3768, 9, 11])).
% 2.65/2.85 tff(3770,plain,
% 2.65/2.85 (b(s(s(s(z))), s(z))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[535, 3769])).
% 2.65/2.85 tff(3771,assumption,(b(s(z), z)), introduced(assumption)).
% 2.65/2.85 tff(3772,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3773,plain,
% 2.65/2.85 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3774,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 2.65/2.85 inference(monotonicity,[status(thm)],[3773])).
% 2.65/2.85 tff(3775,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.85 inference(transitivity,[status(thm)],[3774, 3772])).
% 2.65/2.85 tff(3776,plain,
% 2.65/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.85 inference(quant_inst,[status(thm)],[])).
% 2.65/2.85 tff(3777,plain,
% 2.65/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 2.65/2.85 inference(modus_ponens,[status(thm)],[3776, 3775])).
% 2.65/2.85 tff(3778,plain,
% 2.65/2.85 ($false),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3777, 213, 3771, 7, 8, 1016, 202])).
% 2.65/2.85 tff(3779,plain,((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.85 tff(3780,plain,
% 2.65/2.85 (~b(s(s(s(z))), z)),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3779, 3770, 7, 3760, 1410])).
% 2.65/2.85 tff(3781,plain,
% 2.65/2.85 (r(s(s(s(z))), z)),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[2303, 3780])).
% 2.65/2.85 tff(3782,plain,
% 2.65/2.85 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3783,plain,
% 2.65/2.85 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3784,plain,
% 2.65/2.85 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))))),
% 2.65/2.85 inference(monotonicity,[status(thm)],[3783])).
% 2.65/2.85 tff(3785,plain,
% 2.65/2.85 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.85 inference(transitivity,[status(thm)],[3784, 3782])).
% 2.65/2.85 tff(3786,plain,
% 2.65/2.85 ((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))),
% 2.65/2.85 inference(quant_inst,[status(thm)],[])).
% 2.65/2.85 tff(3787,plain,
% 2.65/2.85 ((~![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(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 2.65/2.85 inference(modus_ponens,[status(thm)],[3786, 3785])).
% 2.65/2.85 tff(3788,plain,
% 2.65/2.85 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3787, 76, 155, 11, 6, 691])).
% 2.65/2.85 tff(3789,plain,
% 2.65/2.85 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[2750, 3788])).
% 2.65/2.85 tff(3790,plain,
% 2.65/2.85 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3791,plain,
% 2.65/2.85 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3792,plain,
% 2.65/2.85 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.65/2.85 inference(monotonicity,[status(thm)],[3791])).
% 2.65/2.85 tff(3793,plain,
% 2.65/2.85 (((~![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(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.65/2.85 inference(transitivity,[status(thm)],[3792, 3790])).
% 2.65/2.85 tff(3794,plain,
% 2.65/2.85 ((~![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(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))),
% 2.65/2.85 inference(quant_inst,[status(thm)],[])).
% 2.65/2.85 tff(3795,plain,
% 2.65/2.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.65/2.85 inference(modus_ponens,[status(thm)],[3794, 3793])).
% 2.65/2.85 tff(3796,plain,
% 2.65/2.85 ($false),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3795, 76, 117, 6, 1027, 9, 1556])).
% 2.65/2.85 tff(3797,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.85 tff(3798,plain,
% 2.65/2.85 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[3797, 1027, 6, 117, 9])).
% 2.65/2.85 tff(3799,plain,
% 2.65/2.85 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[1871, 3798])).
% 2.65/2.85 tff(3800,plain,
% 2.65/2.85 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[199, 117, 9, 6])).
% 2.65/2.85 tff(3801,plain,
% 2.65/2.85 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.85 inference(unit_resolution,[status(thm)],[250, 3800])).
% 2.65/2.85 tff(3802,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3803,plain,
% 2.65/2.85 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.65/2.85 inference(rewrite,[status(thm)],[])).
% 2.65/2.85 tff(3804,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.65/2.85 inference(monotonicity,[status(thm)],[3803])).
% 2.65/2.85 tff(3805,plain,
% 2.65/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.65/2.85 inference(transitivity,[status(thm)],[3804, 3802])).
% 2.65/2.85 tff(3806,plain,
% 2.65/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.65/2.86 inference(quant_inst,[status(thm)],[])).
% 2.65/2.86 tff(3807,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.65/2.86 inference(modus_ponens,[status(thm)],[3806, 3805])).
% 2.65/2.86 tff(3808,plain,
% 2.65/2.86 ($false),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3807, 213, 3256, 3801, 3789, 3799])).
% 2.65/2.86 tff(3809,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.86 tff(3810,plain,
% 2.65/2.86 (~r(s(z), s(s(s(z))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3809, 117, 11, 6, 691, 155, 9])).
% 2.65/2.86 tff(3811,plain,
% 2.65/2.86 (b(s(z), s(s(s(z))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[564, 3810])).
% 2.65/2.86 tff(3812,plain,
% 2.65/2.86 (~r(s(s(s(z))), z)),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[2935, 1556, 10, 155])).
% 2.65/2.86 tff(3813,plain,
% 2.65/2.86 (b(s(s(s(z))), z)),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[2303, 3812])).
% 2.65/2.86 tff(3814,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3815,plain,
% 2.65/2.86 (((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3816,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.65/2.86 inference(monotonicity,[status(thm)],[3815])).
% 2.65/2.86 tff(3817,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.65/2.86 inference(transitivity,[status(thm)],[3816, 3814])).
% 2.65/2.86 tff(3818,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.86 inference(quant_inst,[status(thm)],[])).
% 2.65/2.86 tff(3819,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.65/2.86 inference(modus_ponens,[status(thm)],[3818, 3817])).
% 2.65/2.86 tff(3820,plain,
% 2.65/2.86 ($false),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3819, 213, 3771, 1, 856, 1016])).
% 2.65/2.86 tff(3821,plain,((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.86 tff(3822,plain,
% 2.65/2.86 (~b(z, s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3821, 3813, 3771, 856])).
% 2.65/2.86 tff(3823,plain,
% 2.65/2.86 (r(z, s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[370, 3822])).
% 2.65/2.86 tff(3824,plain,
% 2.65/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3825,plain,
% 2.65/2.86 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3826,plain,
% 2.65/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.65/2.86 inference(monotonicity,[status(thm)],[3825])).
% 2.65/2.86 tff(3827,plain,
% 2.65/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.65/2.86 inference(transitivity,[status(thm)],[3826, 3824])).
% 2.65/2.86 tff(3828,plain,
% 2.65/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))),
% 2.65/2.86 inference(quant_inst,[status(thm)],[])).
% 2.65/2.86 tff(3829,plain,
% 2.65/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.65/2.86 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 2.65/2.86 tff(3830,plain,
% 2.65/2.86 ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3829, 76, 117, 11, 6])).
% 2.65/2.86 tff(3831,plain,
% 2.65/2.86 (~r(s(s(s(z))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3830, 1556])).
% 2.65/2.86 tff(3832,plain,
% 2.65/2.86 (b(s(s(s(z))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[535, 3831])).
% 2.65/2.86 tff(3833,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3834,plain,
% 2.65/2.86 (((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3835,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.65/2.86 inference(monotonicity,[status(thm)],[3834])).
% 2.65/2.86 tff(3836,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.86 inference(transitivity,[status(thm)],[3835, 3833])).
% 2.65/2.86 tff(3837,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.65/2.86 inference(quant_inst,[status(thm)],[])).
% 2.65/2.86 tff(3838,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.65/2.86 inference(modus_ponens,[status(thm)],[3837, 3836])).
% 2.65/2.86 tff(3839,plain,
% 2.65/2.86 ($false),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3838, 213, 284, 856, 8, 2305])).
% 2.65/2.86 tff(3840,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.86 tff(3841,plain,
% 2.65/2.86 (~b(s(s(s(s(z)))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3840, 3832, 856, 2305])).
% 2.65/2.86 tff(3842,plain,
% 2.65/2.86 (r(s(s(s(s(z)))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[115, 3841])).
% 2.65/2.86 tff(3843,plain,
% 2.65/2.86 ($false),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[358, 3842, 3823, 10, 117])).
% 2.65/2.86 tff(3844,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.86 tff(3845,plain,
% 2.65/2.86 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3844, 117, 10, 3811, 3789, 3760, 11, 6, 155])).
% 2.65/2.86 tff(3846,plain,
% 2.65/2.86 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[1871, 3845])).
% 2.65/2.86 tff(3847,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3848,plain,
% 2.65/2.86 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3849,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))))),
% 2.65/2.86 inference(monotonicity,[status(thm)],[3848])).
% 2.65/2.86 tff(3850,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.86 inference(transitivity,[status(thm)],[3849, 3847])).
% 2.65/2.86 tff(3851,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.65/2.86 inference(quant_inst,[status(thm)],[])).
% 2.65/2.86 tff(3852,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))),
% 2.65/2.86 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 2.65/2.86 tff(3853,plain,
% 2.65/2.86 (~b(s(s(s(s(z)))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3852, 213, 3811, 3789, 3846])).
% 2.65/2.86 tff(3854,plain,
% 2.65/2.86 (r(s(s(s(s(z)))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[115, 3853])).
% 2.65/2.86 tff(3855,plain,
% 2.65/2.86 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[84, 3854, 9, 6])).
% 2.65/2.86 tff(3856,plain,
% 2.65/2.86 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[450, 3855])).
% 2.65/2.86 tff(3857,plain,
% 2.65/2.86 (~r(z, s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[358, 3854, 10, 117])).
% 2.65/2.86 tff(3858,plain,
% 2.65/2.86 (b(z, s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[370, 3857])).
% 2.65/2.86 tff(3859,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3860,plain,
% 2.65/2.86 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3861,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.65/2.86 inference(monotonicity,[status(thm)],[3860])).
% 2.65/2.86 tff(3862,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.86 inference(transitivity,[status(thm)],[3861, 3859])).
% 2.65/2.86 tff(3863,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.86 inference(quant_inst,[status(thm)],[])).
% 2.65/2.86 tff(3864,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.65/2.86 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 2.65/2.86 tff(3865,plain,
% 2.65/2.86 ($false),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3864, 213, 3771, 1, 3, 7])).
% 2.65/2.86 tff(3866,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.86 tff(3867,plain,
% 2.65/2.86 ($false),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3866, 3858, 3856, 7, 3760])).
% 2.65/2.86 tff(3868,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.86 tff(3869,plain,
% 2.65/2.86 (~r(s(z), s(s(s(s(z)))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3868, 691, 10, 9, 6, 11, 155, 7])).
% 2.65/2.86 tff(3870,plain,
% 2.65/2.86 (b(s(z), s(s(s(s(z)))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[796, 3869])).
% 2.65/2.86 tff(3871,plain,
% 2.65/2.86 (~r(z, s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[2880, 12, 691, 1027])).
% 2.65/2.86 tff(3872,plain,
% 2.65/2.86 (b(z, s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[370, 3871])).
% 2.65/2.86 tff(3873,plain,
% 2.65/2.86 ($false),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3866, 2650, 3872, 7, 3771])).
% 2.65/2.86 tff(3874,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.86 tff(3875,plain,
% 2.65/2.86 (~r(s(s(s(z))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3874, 1027, 3760, 9, 11, 691, 7])).
% 2.65/2.86 tff(3876,plain,
% 2.65/2.86 (b(s(s(s(z))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[535, 3875])).
% 2.65/2.86 tff(3877,plain,
% 2.65/2.86 ($false),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3067, 213, 782, 284, 8, 2305])).
% 2.65/2.86 tff(3878,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.86 tff(3879,plain,
% 2.65/2.86 (~b(s(s(s(s(z)))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[3878, 3876, 782, 2305])).
% 2.65/2.86 tff(3880,plain,
% 2.65/2.86 (r(s(s(s(s(z)))), s(z))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[115, 3879])).
% 2.65/2.86 tff(3881,plain,
% 2.65/2.86 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[2745, 3876, 782, 2305])).
% 2.65/2.86 tff(3882,plain,
% 2.65/2.86 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[1871, 3881])).
% 2.65/2.86 tff(3883,plain,
% 2.65/2.86 (~r(s(s(s(z))), z)),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[2935, 3882, 10, 155])).
% 2.65/2.86 tff(3884,plain,
% 2.65/2.86 (b(s(s(s(z))), z)),
% 2.65/2.86 inference(unit_resolution,[status(thm)],[2303, 3883])).
% 2.65/2.86 tff(3885,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3886,plain,
% 2.65/2.86 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.86 inference(rewrite,[status(thm)],[])).
% 2.65/2.86 tff(3887,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 2.65/2.86 inference(monotonicity,[status(thm)],[3886])).
% 2.65/2.86 tff(3888,plain,
% 2.65/2.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.86 inference(transitivity,[status(thm)],[3887, 3885])).
% 2.65/2.86 tff(3889,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.86 inference(quant_inst,[status(thm)],[])).
% 2.65/2.86 tff(3890,plain,
% 2.65/2.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 2.65/2.87 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 2.65/2.87 tff(3891,plain,
% 2.65/2.87 ($false),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3890, 213, 3771, 1, 8, 1016])).
% 2.65/2.87 tff(3892,plain,((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.87 tff(3893,plain,
% 2.65/2.87 (~b(z, s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3892, 3884, 3760, 3876])).
% 2.65/2.87 tff(3894,plain,
% 2.65/2.87 (r(z, s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[370, 3893])).
% 2.65/2.87 tff(3895,plain,
% 2.65/2.87 ($false),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2477, 76, 3894, 10, 3880, 691, 1027])).
% 2.65/2.87 tff(3896,plain,((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.87 tff(3897,plain,
% 2.65/2.87 (~r(s(z), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3896, 691, 10, 155, 3870, 3789, 9, 11, 7])).
% 2.65/2.87 tff(3898,plain,
% 2.65/2.87 (b(s(z), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[564, 3897])).
% 2.65/2.87 tff(3899,plain,
% 2.65/2.87 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2357, 3898, 3870, 3789])).
% 2.65/2.87 tff(3900,plain,
% 2.65/2.87 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[1871, 3899])).
% 2.65/2.87 tff(3901,plain,
% 2.65/2.87 (~r(s(s(s(z))), z)),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2935, 3900, 10, 155])).
% 2.65/2.87 tff(3902,plain,
% 2.65/2.87 (b(s(s(s(z))), z)),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2303, 3901])).
% 2.65/2.87 tff(3903,plain,
% 2.65/2.87 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2664, 3900, 6, 11])).
% 2.65/2.87 tff(3904,plain,
% 2.65/2.87 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[250, 3903])).
% 2.65/2.87 tff(3905,plain,
% 2.65/2.87 (~b(s(s(s(z))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2700, 3898, 3870, 3789])).
% 2.65/2.87 tff(3906,plain,
% 2.65/2.87 (r(s(s(s(z))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[535, 3905])).
% 2.65/2.87 tff(3907,plain,
% 2.65/2.87 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[682, 3906, 9, 11])).
% 2.65/2.87 tff(3908,plain,
% 2.65/2.87 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[450, 3907])).
% 2.65/2.87 tff(3909,plain,
% 2.65/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)))),
% 2.65/2.87 inference(rewrite,[status(thm)],[])).
% 2.65/2.87 tff(3910,plain,
% 2.65/2.87 (((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)))),
% 2.65/2.87 inference(rewrite,[status(thm)],[])).
% 2.65/2.87 tff(3911,plain,
% 2.65/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z))))),
% 2.65/2.87 inference(monotonicity,[status(thm)],[3910])).
% 2.65/2.87 tff(3912,plain,
% 2.65/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)))),
% 2.65/2.87 inference(transitivity,[status(thm)],[3911, 3909])).
% 2.65/2.87 tff(3913,plain,
% 2.65/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.65/2.87 inference(quant_inst,[status(thm)],[])).
% 2.65/2.87 tff(3914,plain,
% 2.65/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z))),
% 2.65/2.87 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 2.65/2.87 tff(3915,plain,
% 2.65/2.87 ($false),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3914, 213, 3760, 3870, 3908, 7, 3904, 3902, 3789])).
% 2.65/2.87 tff(3916,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.87 tff(3917,plain,
% 2.65/2.87 (~r(z, s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3916, 155, 6, 11, 10, 7, 9])).
% 2.65/2.87 tff(3918,plain,
% 2.65/2.87 (b(z, s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[581, 3917])).
% 2.65/2.87 tff(3919,plain,
% 2.65/2.87 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[1515, 3813, 7, 3918])).
% 2.65/2.87 tff(3920,plain,
% 2.65/2.87 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[1042, 3919])).
% 2.65/2.87 tff(3921,plain,
% 2.65/2.87 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2690, 1556, 10, 7, 6, 11])).
% 2.65/2.87 tff(3922,plain,
% 2.65/2.87 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2750, 3921])).
% 2.65/2.87 tff(3923,plain,
% 2.65/2.87 (~b(s(z), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2700, 3922, 782, 8])).
% 2.65/2.87 tff(3924,plain,
% 2.65/2.87 (r(s(z), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[564, 3923])).
% 2.65/2.87 tff(3925,plain,
% 2.65/2.87 ($false),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[1992, 3924, 3920, 9, 11])).
% 2.65/2.87 tff(3926,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.87 tff(3927,plain,
% 2.65/2.87 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3926, 8, 11, 782, 9, 7, 10, 6, 155])).
% 2.65/2.87 tff(3928,plain,
% 2.65/2.87 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[1871, 3927])).
% 2.65/2.87 tff(3929,plain,
% 2.65/2.87 (~b(s(s(s(s(z)))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2733, 3928, 8, 782])).
% 2.65/2.87 tff(3930,plain,
% 2.65/2.87 (r(s(s(s(s(z)))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[115, 3929])).
% 2.65/2.87 tff(3931,plain,
% 2.65/2.87 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2745, 3928, 782, 8])).
% 2.65/2.87 tff(3932,plain,
% 2.65/2.87 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[2750, 3931])).
% 2.65/2.87 tff(3933,plain,
% 2.65/2.87 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.87 inference(rewrite,[status(thm)],[])).
% 2.65/2.87 tff(3934,plain,
% 2.65/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 2.65/2.87 inference(monotonicity,[status(thm)],[3933])).
% 2.65/2.87 tff(3935,plain,
% 2.65/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.87 inference(transitivity,[status(thm)],[3934, 3885])).
% 2.65/2.87 tff(3936,plain,
% 2.65/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 2.65/2.87 inference(quant_inst,[status(thm)],[])).
% 2.65/2.87 tff(3937,plain,
% 2.65/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 2.65/2.87 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 2.65/2.87 tff(3938,plain,
% 2.65/2.87 (~b(s(s(s(z))), z)),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3937, 213, 3771, 1, 8])).
% 2.65/2.87 tff(3939,plain,
% 2.65/2.87 (r(s(s(s(z))), z)),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[996, 110, 97, 3938])).
% 2.65/2.87 tff(3940,plain,
% 2.65/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.87 inference(rewrite,[status(thm)],[])).
% 2.65/2.87 tff(3941,plain,
% 2.65/2.87 (((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.87 inference(rewrite,[status(thm)],[])).
% 2.65/2.87 tff(3942,plain,
% 2.65/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.65/2.87 inference(monotonicity,[status(thm)],[3941])).
% 2.65/2.87 tff(3943,plain,
% 2.65/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.87 inference(transitivity,[status(thm)],[3942, 3940])).
% 2.65/2.87 tff(3944,plain,
% 2.65/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))))),
% 2.65/2.87 inference(quant_inst,[status(thm)],[])).
% 2.65/2.87 tff(3945,plain,
% 2.65/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.65/2.87 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 2.65/2.87 tff(3946,plain,
% 2.65/2.87 (~b(z, s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3945, 213, 3771, 1, 8])).
% 2.65/2.87 tff(3947,plain,
% 2.65/2.87 (r(z, s(s(s(z))))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[581, 3946])).
% 2.65/2.87 tff(3948,plain,
% 2.65/2.87 (((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.87 inference(rewrite,[status(thm)],[])).
% 2.65/2.87 tff(3949,plain,
% 2.65/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.65/2.87 inference(monotonicity,[status(thm)],[3948])).
% 2.65/2.87 tff(3950,plain,
% 2.65/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.65/2.87 inference(transitivity,[status(thm)],[3949, 3433])).
% 2.65/2.87 tff(3951,plain,
% 2.65/2.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.65/2.87 inference(quant_inst,[status(thm)],[])).
% 2.65/2.87 tff(3952,plain,
% 2.65/2.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.65/2.87 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 2.65/2.87 tff(3953,plain,
% 2.65/2.87 ($false),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3952, 76, 155, 3947, 2410, 3939])).
% 2.65/2.87 tff(3954,plain,((~b(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.87 tff(3955,plain,
% 2.65/2.87 (~b(z, s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3954, 3932, 3760, 155, 8])).
% 2.65/2.87 tff(3956,plain,
% 2.65/2.87 (r(z, s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[370, 3955])).
% 2.65/2.87 tff(3957,plain,
% 2.65/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))),
% 2.65/2.87 inference(rewrite,[status(thm)],[])).
% 2.65/2.87 tff(3958,plain,
% 2.65/2.87 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))),
% 2.65/2.87 inference(rewrite,[status(thm)],[])).
% 2.65/2.87 tff(3959,plain,
% 2.65/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z))))),
% 2.65/2.87 inference(monotonicity,[status(thm)],[3958])).
% 2.65/2.87 tff(3960,plain,
% 2.65/2.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))),
% 2.65/2.87 inference(transitivity,[status(thm)],[3959, 3957])).
% 2.65/2.87 tff(3961,plain,
% 2.65/2.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
% 2.65/2.87 inference(quant_inst,[status(thm)],[])).
% 2.65/2.87 tff(3962,plain,
% 2.65/2.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z))),
% 2.65/2.87 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 2.65/2.87 tff(3963,plain,
% 2.65/2.87 ($false),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3962, 76, 3956, 3930, 155, 6, 9])).
% 2.65/2.87 tff(3964,plain,((~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.87 tff(3965,plain,
% 2.65/2.87 (~b(s(s(s(z))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3964, 782, 6, 9, 155, 11, 7, 10])).
% 2.65/2.87 tff(3966,plain,
% 2.65/2.87 (r(s(s(s(z))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[535, 3965])).
% 2.65/2.87 tff(3967,plain,
% 2.65/2.87 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[682, 3966, 9, 11])).
% 2.65/2.87 tff(3968,plain,
% 2.65/2.87 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[450, 3967])).
% 2.65/2.87 tff(3969,plain,
% 2.65/2.87 (~b(z, s(z))),
% 2.65/2.87 inference(unit_resolution,[status(thm)],[3866, 3968, 7, 3760])).
% 2.65/2.88 tff(3970,plain,
% 2.65/2.88 (r(z, s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[370, 3969])).
% 2.65/2.88 tff(3971,plain,
% 2.65/2.88 (~r(s(s(s(z))), z)),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2658, 76, 3970, 11, 9, 3966])).
% 2.65/2.88 tff(3972,plain,
% 2.65/2.88 (b(s(s(s(z))), z)),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2303, 3971])).
% 2.65/2.88 tff(3973,plain,
% 2.65/2.88 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[1515, 3972, 7, 3918])).
% 2.65/2.88 tff(3974,plain,
% 2.65/2.88 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[1042, 3973])).
% 2.65/2.88 tff(3975,plain,
% 2.65/2.88 (~r(s(z), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[1992, 3974, 9, 11])).
% 2.65/2.88 tff(3976,plain,
% 2.65/2.88 (b(s(z), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[564, 3975])).
% 2.65/2.88 tff(3977,plain,
% 2.65/2.88 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2684, 3974, 6, 11])).
% 2.65/2.88 tff(3978,plain,
% 2.65/2.88 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2750, 3977])).
% 2.65/2.88 tff(3979,plain,
% 2.65/2.88 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2357, 3978, 782, 3976])).
% 2.65/2.88 tff(3980,plain,
% 2.65/2.88 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[1871, 3979])).
% 2.65/2.88 tff(3981,plain,
% 2.65/2.88 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2664, 3980, 6, 11])).
% 2.65/2.88 tff(3982,plain,
% 2.65/2.88 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[250, 3981])).
% 2.65/2.88 tff(3983,plain,
% 2.65/2.88 (~r(s(s(s(s(z)))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[3962, 76, 3970, 155, 6, 9])).
% 2.65/2.88 tff(3984,plain,
% 2.65/2.88 (b(s(s(s(s(z)))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[115, 3983])).
% 2.65/2.88 tff(3985,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.88 inference(rewrite,[status(thm)],[])).
% 2.65/2.88 tff(3986,plain,
% 2.65/2.88 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.88 inference(rewrite,[status(thm)],[])).
% 2.65/2.88 tff(3987,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.65/2.88 inference(monotonicity,[status(thm)],[3986])).
% 2.65/2.88 tff(3988,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.88 inference(transitivity,[status(thm)],[3987, 3985])).
% 2.65/2.88 tff(3989,plain,
% 2.65/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.65/2.88 inference(quant_inst,[status(thm)],[])).
% 2.65/2.88 tff(3990,plain,
% 2.65/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.65/2.88 inference(modus_ponens,[status(thm)],[3989, 3988])).
% 2.65/2.88 tff(3991,plain,
% 2.65/2.88 ($false),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[3990, 213, 3760, 782, 3984, 3968, 7, 3982])).
% 2.65/2.88 tff(3992,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.88 tff(3993,plain,
% 2.65/2.88 (~b(s(z), s(s(s(s(z)))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[3992, 155, 6, 11, 9, 7, 10])).
% 2.65/2.88 tff(3994,plain,
% 2.65/2.88 (r(s(z), s(s(s(s(z)))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[796, 3993])).
% 2.65/2.88 tff(3995,plain,
% 2.65/2.88 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2684, 2410, 6, 11])).
% 2.65/2.88 tff(3996,plain,
% 2.65/2.88 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[1042, 3995])).
% 2.65/2.88 tff(3997,plain,
% 2.65/2.88 (~b(s(s(s(z))), z)),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[1515, 3996, 7, 1065])).
% 2.65/2.88 tff(3998,plain,
% 2.65/2.88 (r(s(s(s(z))), z)),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2303, 3997])).
% 2.65/2.88 tff(3999,plain,
% 2.65/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.88 inference(rewrite,[status(thm)],[])).
% 2.65/2.88 tff(4000,plain,
% 2.65/2.88 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.88 inference(rewrite,[status(thm)],[])).
% 2.65/2.88 tff(4001,plain,
% 2.65/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.65/2.88 inference(monotonicity,[status(thm)],[4000])).
% 2.65/2.88 tff(4002,plain,
% 2.65/2.88 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.88 inference(transitivity,[status(thm)],[4001, 3999])).
% 2.65/2.88 tff(4003,plain,
% 2.65/2.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.65/2.88 inference(quant_inst,[status(thm)],[])).
% 2.65/2.88 tff(4004,plain,
% 2.65/2.88 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.65/2.88 inference(modus_ponens,[status(thm)],[4003, 4002])).
% 2.65/2.88 tff(4005,plain,
% 2.65/2.88 ($false),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[4004, 76, 117, 11, 1027, 9, 2410])).
% 2.65/2.88 tff(4006,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.88 tff(4007,plain,
% 2.65/2.88 (~r(s(z), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[4006, 2410, 11, 9, 117])).
% 2.65/2.88 tff(4008,plain,
% 2.65/2.88 (b(s(z), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[564, 4007])).
% 2.65/2.88 tff(4009,plain,
% 2.65/2.88 (~r(s(s(s(z))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2658, 76, 350, 11, 9, 2296])).
% 2.65/2.88 tff(4010,plain,
% 2.65/2.88 (b(s(s(s(z))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[535, 4009])).
% 2.65/2.88 tff(4011,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.88 inference(rewrite,[status(thm)],[])).
% 2.65/2.88 tff(4012,plain,
% 2.65/2.88 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.88 inference(rewrite,[status(thm)],[])).
% 2.65/2.88 tff(4013,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.65/2.88 inference(monotonicity,[status(thm)],[4012])).
% 2.65/2.88 tff(4014,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.88 inference(transitivity,[status(thm)],[4013, 4011])).
% 2.65/2.88 tff(4015,plain,
% 2.65/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.65/2.88 inference(quant_inst,[status(thm)],[])).
% 2.65/2.88 tff(4016,plain,
% 2.65/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.65/2.88 inference(modus_ponens,[status(thm)],[4015, 4014])).
% 2.65/2.88 tff(4017,plain,
% 2.65/2.88 ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[4016, 213, 1507, 856, 468, 2350])).
% 2.65/2.88 tff(4018,plain,
% 2.65/2.88 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[4017, 4010])).
% 2.65/2.88 tff(4019,plain,
% 2.65/2.88 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[450, 4018])).
% 2.65/2.88 tff(4020,plain,
% 2.65/2.88 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[1749, 4019, 9, 350])).
% 2.65/2.88 tff(4021,plain,
% 2.65/2.88 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[233, 4020])).
% 2.65/2.88 tff(4022,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.88 inference(rewrite,[status(thm)],[])).
% 2.65/2.88 tff(4023,plain,
% 2.65/2.88 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.88 inference(rewrite,[status(thm)],[])).
% 2.65/2.88 tff(4024,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.65/2.88 inference(monotonicity,[status(thm)],[4023])).
% 2.65/2.88 tff(4025,plain,
% 2.65/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.65/2.88 inference(transitivity,[status(thm)],[4024, 4022])).
% 2.65/2.88 tff(4026,plain,
% 2.65/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 2.65/2.88 inference(quant_inst,[status(thm)],[])).
% 2.65/2.88 tff(4027,plain,
% 2.65/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.65/2.88 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 2.65/2.88 tff(4028,plain,
% 2.65/2.88 ($false),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[4027, 213, 1507, 1065, 856, 4010, 4021])).
% 2.65/2.88 tff(4029,plain,((~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.88 tff(4030,plain,
% 2.65/2.88 (~r(z, s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[4029, 3996, 1065, 4008, 9, 3801, 2350, 11, 3998])).
% 2.65/2.88 tff(4031,plain,
% 2.65/2.88 (b(z, s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[370, 4030])).
% 2.65/2.88 tff(4032,plain,
% 2.65/2.88 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[3866, 4031, 7, 3771])).
% 2.65/2.88 tff(4033,plain,
% 2.65/2.88 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[450, 4032])).
% 2.65/2.88 tff(4034,plain,
% 2.65/2.88 (~b(s(s(s(z))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[3954, 4031, 3771, 155, 2410])).
% 2.65/2.88 tff(4035,plain,
% 2.65/2.88 (r(s(s(s(z))), s(z))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[535, 4034])).
% 2.65/2.88 tff(4036,plain,
% 2.65/2.88 ($false),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[682, 4035, 4033, 9, 11])).
% 2.65/2.88 tff(4037,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.88 tff(4038,plain,
% 2.65/2.88 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[4037, 2350, 11, 3771, 155, 7, 1065, 9, 117, 6])).
% 2.65/2.88 tff(4039,plain,
% 2.65/2.88 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[2750, 4038])).
% 2.65/2.88 tff(4040,plain,
% 2.65/2.88 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[3807, 213, 3801, 4039, 2350])).
% 2.65/2.88 tff(4041,plain,
% 2.65/2.88 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.88 inference(unit_resolution,[status(thm)],[1042, 4040])).
% 2.65/2.88 tff(4042,plain,
% 2.65/2.88 (~r(s(z), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1992, 4041, 9, 11])).
% 2.65/2.89 tff(4043,plain,
% 2.65/2.89 (b(s(z), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[564, 4042])).
% 2.65/2.89 tff(4044,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4045,plain,
% 2.65/2.89 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4046,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 2.65/2.89 inference(monotonicity,[status(thm)],[4045])).
% 2.65/2.89 tff(4047,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.89 inference(transitivity,[status(thm)],[4046, 4044])).
% 2.65/2.89 tff(4048,plain,
% 2.65/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 2.65/2.89 inference(quant_inst,[status(thm)],[])).
% 2.65/2.89 tff(4049,plain,
% 2.65/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 2.65/2.89 inference(modus_ponens,[status(thm)],[4048, 4047])).
% 2.65/2.89 tff(4050,plain,
% 2.65/2.89 ($false),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4049, 213, 3771, 1065, 4043, 4039, 2350])).
% 2.65/2.89 tff(4051,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.89 tff(4052,plain,
% 2.65/2.89 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4051, 3918, 3760, 9, 11, 155, 7, 3994, 6])).
% 2.65/2.89 tff(4053,plain,
% 2.65/2.89 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1871, 4052])).
% 2.65/2.89 tff(4054,plain,
% 2.65/2.89 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2690, 4053, 10, 7, 6, 11])).
% 2.65/2.89 tff(4055,plain,
% 2.65/2.89 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2750, 4054])).
% 2.65/2.89 tff(4056,plain,
% 2.65/2.89 (~r(s(z), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[3797, 4053, 6, 3994, 9])).
% 2.65/2.89 tff(4057,plain,
% 2.65/2.89 (b(s(z), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[564, 4056])).
% 2.65/2.89 tff(4058,plain,
% 2.65/2.89 ($false),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[3844, 4057, 4055, 10, 3994, 4053, 3760, 11, 6, 155])).
% 2.65/2.89 tff(4059,plain,((~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.89 tff(4060,plain,
% 2.65/2.89 (~r(s(s(s(s(z)))), z)),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4059, 11, 10, 6, 9, 7])).
% 2.65/2.89 tff(4061,plain,
% 2.65/2.89 (b(s(s(s(s(z)))), z)),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[170, 4060])).
% 2.65/2.89 tff(4062,plain,
% 2.65/2.89 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[735, 2666, 7, 4061])).
% 2.65/2.89 tff(4063,plain,
% 2.65/2.89 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[233, 4062])).
% 2.65/2.89 tff(4064,plain,
% 2.65/2.89 (~r(s(s(s(z))), z)),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1350, 1556])).
% 2.65/2.89 tff(4065,plain,
% 2.65/2.89 (b(s(s(s(z))), z)),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2303, 4064])).
% 2.65/2.89 tff(4066,plain,
% 2.65/2.89 (~b(z, s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2313, 3922, 4061, 4065])).
% 2.65/2.89 tff(4067,plain,
% 2.65/2.89 (r(z, s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[581, 4066])).
% 2.65/2.89 tff(4068,plain,
% 2.65/2.89 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[3157, 4067, 11, 4063])).
% 2.65/2.89 tff(4069,plain,
% 2.65/2.89 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1042, 4068])).
% 2.65/2.89 tff(4070,plain,
% 2.65/2.89 (~r(s(s(s(z))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[3874, 1027, 3760, 9, 11, 4067, 7])).
% 2.65/2.89 tff(4071,plain,
% 2.65/2.89 (b(s(s(s(z))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[535, 4070])).
% 2.65/2.89 tff(4072,plain,
% 2.65/2.89 (~r(s(z), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[3797, 1027, 6, 1556, 9])).
% 2.65/2.89 tff(4073,plain,
% 2.65/2.89 (b(s(z), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[796, 4072])).
% 2.65/2.89 tff(4074,plain,
% 2.65/2.89 (~b(s(s(s(s(z)))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[3878, 4073, 3922, 4071])).
% 2.65/2.89 tff(4075,plain,
% 2.65/2.89 (r(s(s(s(s(z)))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[115, 4074])).
% 2.65/2.89 tff(4076,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4077,plain,
% 2.65/2.89 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4078,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.65/2.89 inference(monotonicity,[status(thm)],[4077])).
% 2.65/2.89 tff(4079,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.65/2.89 inference(transitivity,[status(thm)],[4078, 4076])).
% 2.65/2.89 tff(4080,plain,
% 2.65/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.65/2.89 inference(quant_inst,[status(thm)],[])).
% 2.65/2.89 tff(4081,plain,
% 2.65/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.65/2.89 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 2.65/2.89 tff(4082,plain,
% 2.65/2.89 ($false),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4081, 213, 3771, 1, 191, 7, 468])).
% 2.65/2.89 tff(4083,plain,((~b(s(s(s(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(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.89 tff(4084,plain,
% 2.65/2.89 (~b(z, s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4083, 2666, 7, 3760, 4061])).
% 2.65/2.89 tff(4085,plain,
% 2.65/2.89 (r(z, s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[370, 4084])).
% 2.65/2.89 tff(4086,plain,
% 2.65/2.89 ($false),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2477, 76, 4085, 10, 4075, 4067, 1027])).
% 2.65/2.89 tff(4087,plain,((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.89 tff(4088,plain,
% 2.65/2.89 (~r(s(z), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4087, 1556, 6, 10, 9, 11, 7])).
% 2.65/2.89 tff(4089,plain,
% 2.65/2.89 (b(s(z), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[564, 4088])).
% 2.65/2.89 tff(4090,plain,
% 2.65/2.89 (~b(s(s(s(z))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[3190, 4089, 4065, 9, 4063, 4069, 7])).
% 2.65/2.89 tff(4091,plain,
% 2.65/2.89 (r(s(s(s(z))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[535, 4090])).
% 2.65/2.89 tff(4092,plain,
% 2.65/2.89 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1749, 4063, 9, 4085])).
% 2.65/2.89 tff(4093,plain,
% 2.65/2.89 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[450, 4092])).
% 2.65/2.89 tff(4094,plain,
% 2.65/2.89 (~b(s(s(s(s(z)))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1024, 4089, 7, 4061, 2666, 4065, 4093])).
% 2.65/2.89 tff(4095,plain,
% 2.65/2.89 (r(s(s(s(s(z)))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[115, 4094])).
% 2.65/2.89 tff(4096,plain,
% 2.65/2.89 ($false),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[896, 76, 4095, 11, 9, 4091, 1556])).
% 2.65/2.89 tff(4097,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.89 tff(4098,plain,
% 2.65/2.89 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4097, 11, 9, 7, 6, 10])).
% 2.65/2.89 tff(4099,plain,
% 2.65/2.89 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1871, 4098])).
% 2.65/2.89 tff(4100,plain,
% 2.65/2.89 (~r(s(s(s(s(z)))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[84, 15, 9, 6])).
% 2.65/2.89 tff(4101,plain,
% 2.65/2.89 (b(s(s(s(s(z)))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[115, 4100])).
% 2.65/2.89 tff(4102,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4103,plain,
% 2.65/2.89 (((~b(z, s(z))) | (~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(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4104,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.65/2.89 inference(monotonicity,[status(thm)],[4103])).
% 2.65/2.89 tff(4105,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.65/2.89 inference(transitivity,[status(thm)],[4104, 4102])).
% 2.65/2.89 tff(4106,plain,
% 2.65/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))),
% 2.65/2.89 inference(quant_inst,[status(thm)],[])).
% 2.65/2.89 tff(4107,plain,
% 2.65/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 2.65/2.89 inference(modus_ponens,[status(thm)],[4106, 4105])).
% 2.65/2.89 tff(4108,plain,
% 2.65/2.89 ($false),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4107, 213, 3771, 1, 284, 191])).
% 2.65/2.89 tff(4109,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.89 tff(4110,plain,
% 2.65/2.89 (~b(z, s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4109, 4101, 3771, 191])).
% 2.65/2.89 tff(4111,plain,
% 2.65/2.89 (r(z, s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[370, 4110])).
% 2.65/2.89 tff(4112,plain,
% 2.65/2.89 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1749, 4111, 9, 15])).
% 2.65/2.89 tff(4113,plain,
% 2.65/2.89 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[233, 4112])).
% 2.65/2.89 tff(4114,plain,
% 2.65/2.89 (~b(s(z), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2733, 3299, 2350, 4101])).
% 2.65/2.89 tff(4115,plain,
% 2.65/2.89 (r(s(z), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[796, 4114])).
% 2.65/2.89 tff(4116,plain,
% 2.65/2.89 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[199, 4115, 9, 6])).
% 2.65/2.89 tff(4117,plain,
% 2.65/2.89 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[250, 4116])).
% 2.65/2.89 tff(4118,plain,
% 2.65/2.89 ($false),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[735, 4117, 4113, 7, 191])).
% 2.65/2.89 tff(4119,plain,((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.65/2.89 tff(4120,plain,
% 2.65/2.89 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4119, 4061, 7, 9, 6, 4099, 3760, 11])).
% 2.65/2.89 tff(4121,plain,
% 2.65/2.89 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[450, 4120])).
% 2.65/2.89 tff(4122,plain,
% 2.65/2.89 (~b(z, s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[3866, 3, 7, 3771])).
% 2.65/2.89 tff(4123,plain,
% 2.65/2.89 (r(z, s(z))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[370, 4122])).
% 2.65/2.89 tff(4124,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4125,plain,
% 2.65/2.89 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4126,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 2.65/2.89 inference(monotonicity,[status(thm)],[4125])).
% 2.65/2.89 tff(4127,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.89 inference(transitivity,[status(thm)],[4126, 4124])).
% 2.65/2.89 tff(4128,plain,
% 2.65/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.65/2.89 inference(quant_inst,[status(thm)],[])).
% 2.65/2.89 tff(4129,plain,
% 2.65/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 2.65/2.89 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 2.65/2.89 tff(4130,plain,
% 2.65/2.89 ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4129, 213, 3771, 191, 7, 2350])).
% 2.65/2.89 tff(4131,plain,
% 2.65/2.89 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[4130, 856, 3])).
% 2.65/2.89 tff(4132,plain,
% 2.65/2.89 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[1042, 4131])).
% 2.65/2.89 tff(4133,plain,
% 2.65/2.89 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2684, 4132, 6, 11])).
% 2.65/2.89 tff(4134,plain,
% 2.65/2.89 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2750, 4133])).
% 2.65/2.89 tff(4135,plain,
% 2.65/2.89 (~b(s(z), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[2357, 4134, 2350, 856])).
% 2.65/2.89 tff(4136,plain,
% 2.65/2.89 (r(s(z), s(s(s(s(z)))))),
% 2.65/2.89 inference(unit_resolution,[status(thm)],[796, 4135])).
% 2.65/2.89 tff(4137,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4138,plain,
% 2.65/2.89 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.65/2.89 inference(rewrite,[status(thm)],[])).
% 2.65/2.89 tff(4139,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))))),
% 2.65/2.89 inference(monotonicity,[status(thm)],[4138])).
% 2.65/2.89 tff(4140,plain,
% 2.65/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.75/2.90 inference(transitivity,[status(thm)],[4139, 4137])).
% 2.75/2.90 tff(4141,plain,
% 2.75/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))))),
% 2.75/2.90 inference(quant_inst,[status(thm)],[])).
% 2.75/2.90 tff(4142,plain,
% 2.75/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))),
% 2.75/2.90 inference(modus_ponens,[status(thm)],[4141, 4140])).
% 2.75/2.90 tff(4143,plain,
% 2.75/2.90 ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4142, 213, 3771, 191, 2350])).
% 2.75/2.90 tff(4144,plain,
% 2.75/2.90 (~b(s(s(s(s(z)))), s(z))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4143, 4134, 856])).
% 2.75/2.90 tff(4145,plain,
% 2.75/2.90 (r(s(s(s(s(z)))), s(z))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[115, 4144])).
% 2.75/2.90 tff(4146,plain,
% 2.75/2.90 ($false),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[358, 4145, 4136, 10, 4123])).
% 2.75/2.90 tff(4147,plain,((~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.90 tff(4148,plain,
% 2.75/2.90 (~b(s(z), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4147, 4061, 3760, 10, 4099, 6, 11, 4121, 7])).
% 2.75/2.90 tff(4149,plain,
% 2.75/2.90 (r(s(z), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[564, 4148])).
% 2.75/2.90 tff(4150,plain,
% 2.75/2.90 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[1992, 4149, 9, 11])).
% 2.75/2.90 tff(4151,plain,
% 2.75/2.90 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[1042, 4150])).
% 2.75/2.90 tff(4152,plain,
% 2.75/2.90 (~b(z, s(z))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[3866, 4121, 7, 3760])).
% 2.75/2.90 tff(4153,plain,
% 2.75/2.90 (r(z, s(z))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[370, 4152])).
% 2.75/2.90 tff(4154,plain,
% 2.75/2.90 (~r(z, s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2880, 12, 350, 1027])).
% 2.75/2.90 tff(4155,plain,
% 2.75/2.90 (b(z, s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[581, 4154])).
% 2.75/2.90 tff(4156,plain,
% 2.75/2.90 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2658, 76, 350, 11, 9])).
% 2.75/2.90 tff(4157,plain,
% 2.75/2.90 (~r(s(s(s(z))), z)),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4156, 12])).
% 2.75/2.90 tff(4158,plain,
% 2.75/2.90 (b(s(s(s(z))), z)),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2303, 4157])).
% 2.75/2.90 tff(4159,plain,
% 2.75/2.90 ($false),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[1515, 4158, 4155, 7, 3256])).
% 2.75/2.90 tff(4160,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.90 tff(4161,plain,
% 2.75/2.90 (~r(s(s(s(z))), s(z))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4160, 4153, 7, 11, 9, 4149])).
% 2.75/2.90 tff(4162,plain,
% 2.75/2.90 (b(s(s(s(z))), s(z))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[535, 4161])).
% 2.75/2.90 tff(4163,plain,
% 2.75/2.90 (~b(s(s(s(s(z)))), s(z))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2733, 782, 2350, 8])).
% 2.75/2.90 tff(4164,plain,
% 2.75/2.90 (r(s(s(s(s(z)))), s(z))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[115, 4163])).
% 2.75/2.90 tff(4165,plain,
% 2.75/2.90 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2745, 782, 2350, 8])).
% 2.75/2.90 tff(4166,plain,
% 2.75/2.90 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2750, 4165])).
% 2.75/2.90 tff(4167,plain,
% 2.75/2.90 ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2230, 76, 11, 6, 1027])).
% 2.75/2.90 tff(4168,plain,
% 2.75/2.90 ($false),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4167, 4166, 4164])).
% 2.75/2.90 tff(4169,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.90 tff(4170,plain,
% 2.75/2.90 (~b(s(z), s(s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4169, 11, 6, 4149, 4099, 4162])).
% 2.75/2.90 tff(4171,plain,
% 2.75/2.90 (r(s(z), s(s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[796, 4170])).
% 2.75/2.90 tff(4172,plain,
% 2.75/2.90 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[199, 4171, 9, 6])).
% 2.75/2.90 tff(4173,plain,
% 2.75/2.90 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[250, 4172])).
% 2.75/2.90 tff(4174,plain,
% 2.75/2.90 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4006, 4171, 11, 9, 4149])).
% 2.75/2.90 tff(4175,plain,
% 2.75/2.90 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2750, 4174])).
% 2.75/2.90 tff(4176,plain,
% 2.75/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.90 inference(rewrite,[status(thm)],[])).
% 2.75/2.90 tff(4177,plain,
% 2.75/2.90 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.90 inference(rewrite,[status(thm)],[])).
% 2.75/2.90 tff(4178,plain,
% 2.75/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.75/2.90 inference(monotonicity,[status(thm)],[4177])).
% 2.75/2.90 tff(4179,plain,
% 2.75/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.90 inference(transitivity,[status(thm)],[4178, 4176])).
% 2.75/2.90 tff(4180,plain,
% 2.75/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.75/2.90 inference(quant_inst,[status(thm)],[])).
% 2.75/2.90 tff(4181,plain,
% 2.75/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.75/2.90 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 2.75/2.90 tff(4182,plain,
% 2.75/2.90 ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4181, 213, 4061, 7, 4099])).
% 2.75/2.90 tff(4183,plain,
% 2.75/2.90 ($false),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4182, 4175, 4173, 4151])).
% 2.75/2.90 tff(4184,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.90 tff(4185,plain,
% 2.75/2.90 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4184, 6, 9, 7, 10])).
% 2.75/2.90 tff(4186,plain,
% 2.75/2.90 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[596, 4185])).
% 2.75/2.90 tff(4187,plain,
% 2.75/2.90 (~r(s(z), s(s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[199, 5, 9, 6])).
% 2.75/2.90 tff(4188,plain,
% 2.75/2.90 (b(s(z), s(s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[796, 4187])).
% 2.75/2.90 tff(4189,plain,
% 2.75/2.90 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2894, 5, 6, 10])).
% 2.75/2.90 tff(4190,plain,
% 2.75/2.90 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[233, 4189])).
% 2.75/2.90 tff(4191,plain,
% 2.75/2.90 (~r(s(s(s(s(z)))), z)),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2935, 3470, 10, 1556])).
% 2.75/2.90 tff(4192,plain,
% 2.75/2.90 (b(s(s(s(s(z)))), z)),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[170, 4191])).
% 2.75/2.90 tff(4193,plain,
% 2.75/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.75/2.90 inference(rewrite,[status(thm)],[])).
% 2.75/2.90 tff(4194,plain,
% 2.75/2.90 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.75/2.90 inference(rewrite,[status(thm)],[])).
% 2.75/2.90 tff(4195,plain,
% 2.75/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.75/2.90 inference(monotonicity,[status(thm)],[4194])).
% 2.75/2.90 tff(4196,plain,
% 2.75/2.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.75/2.90 inference(transitivity,[status(thm)],[4195, 4193])).
% 2.75/2.90 tff(4197,plain,
% 2.75/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.75/2.90 inference(quant_inst,[status(thm)],[])).
% 2.75/2.90 tff(4198,plain,
% 2.75/2.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.75/2.90 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 2.75/2.90 tff(4199,plain,
% 2.75/2.90 ($false),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4198, 213, 3771, 782, 4192, 7, 202])).
% 2.75/2.90 tff(4200,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.90 tff(4201,plain,
% 2.75/2.90 ($false),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4200, 4190, 4188, 3760, 7, 10, 1556, 4186])).
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% 2.75/2.90 tff(4203,plain,
% 2.75/2.90 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4202, 1556, 10, 7, 6, 9])).
% 2.75/2.90 tff(4204,plain,
% 2.75/2.90 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
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% 2.75/2.90 tff(4205,plain,
% 2.75/2.90 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4200, 782, 3760, 7, 10, 1556, 4186])).
% 2.75/2.90 tff(4206,plain,
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% 2.75/2.90 inference(monotonicity,[status(thm)],[4208])).
% 2.75/2.90 tff(4210,plain,
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% 2.75/2.90 inference(transitivity,[status(thm)],[4209, 4207])).
% 2.75/2.90 tff(4211,plain,
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% 2.75/2.90 inference(quant_inst,[status(thm)],[])).
% 2.75/2.90 tff(4212,plain,
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% 2.75/2.90 tff(4213,plain,
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% 2.75/2.90 inference(unit_resolution,[status(thm)],[4212, 213, 506, 1507, 468, 2305])).
% 2.75/2.90 tff(4214,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.90 tff(4215,plain,
% 2.75/2.90 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[4214, 2305, 4204, 4186])).
% 2.75/2.90 tff(4216,plain,
% 2.75/2.90 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[1042, 4215])).
% 2.75/2.90 tff(4217,plain,
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% 2.75/2.90 tff(4218,plain,
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% 2.75/2.90 tff(4219,plain,
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% 2.75/2.90 tff(4220,plain,
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% 2.75/2.90 inference(unit_resolution,[status(thm)],[2303, 4219])).
% 2.75/2.90 tff(4221,plain,
% 2.75/2.90 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
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% 2.75/2.90 tff(4222,plain,
% 2.75/2.90 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[819, 4221])).
% 2.75/2.90 tff(4223,plain,
% 2.75/2.90 (~r(s(s(s(s(z)))), z)),
% 2.75/2.90 inference(unit_resolution,[status(thm)],[2935, 2296, 10, 1556])).
% 2.75/2.91 tff(4224,plain,
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% 2.75/2.91 inference(unit_resolution,[status(thm)],[170, 4223])).
% 2.75/2.91 tff(4225,plain,
% 2.75/2.91 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[1275, 705, 10, 6, 598])).
% 2.75/2.91 tff(4226,plain,
% 2.75/2.91 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
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% 2.75/2.91 tff(4227,plain,
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% 2.75/2.91 tff(4228,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.91 tff(4229,plain,
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% 2.75/2.91 tff(4230,plain,
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% 2.75/2.91 tff(4231,plain,
% 2.75/2.91 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
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% 2.75/2.91 tff(4232,plain,
% 2.75/2.91 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[627, 4231])).
% 2.75/2.91 tff(4233,plain,
% 2.75/2.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
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% 2.75/2.91 tff(4234,plain,
% 2.75/2.91 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
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% 2.75/2.91 tff(4235,plain,
% 2.75/2.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.75/2.91 inference(monotonicity,[status(thm)],[4234])).
% 2.75/2.91 tff(4236,plain,
% 2.75/2.91 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
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% 2.75/2.91 inference(modus_ponens,[status(thm)],[4237, 4236])).
% 2.75/2.91 tff(4239,plain,
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% 2.75/2.91 tff(4240,assumption,(~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.75/2.91 tff(4241,assumption,(~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))), introduced(assumption)).
% 2.75/2.91 tff(4242,plain,
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% 2.75/2.91 tff(4243,plain,(r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))) | b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.91 tff(4244,plain,
% 2.75/2.91 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[4243, 4239])).
% 2.75/2.91 tff(4245,plain,
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% 2.75/2.91 inference(rewrite,[status(thm)],[])).
% 2.75/2.91 tff(4246,plain,
% 2.75/2.91 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.75/2.91 inference(rewrite,[status(thm)],[])).
% 2.75/2.91 tff(4247,plain,
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% 2.75/2.91 inference(monotonicity,[status(thm)],[4246])).
% 2.75/2.91 tff(4248,plain,
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% 2.75/2.91 inference(transitivity,[status(thm)],[4247, 4245])).
% 2.75/2.91 tff(4249,plain,
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% 2.75/2.91 inference(quant_inst,[status(thm)],[])).
% 2.75/2.91 tff(4250,plain,
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% 2.75/2.91 inference(modus_ponens,[status(thm)],[4249, 4248])).
% 2.75/2.91 tff(4251,plain,
% 2.75/2.91 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[4250, 76, 10, 705, 2296, 4232])).
% 2.75/2.91 tff(4252,plain,
% 2.75/2.91 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[653, 4251])).
% 2.75/2.91 tff(4253,plain,
% 2.75/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.75/2.91 inference(rewrite,[status(thm)],[])).
% 2.75/2.91 tff(4254,plain,
% 2.75/2.91 (((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.75/2.91 inference(rewrite,[status(thm)],[])).
% 2.75/2.91 tff(4255,plain,
% 2.75/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))))),
% 2.75/2.91 inference(monotonicity,[status(thm)],[4254])).
% 2.75/2.91 tff(4256,plain,
% 2.75/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.75/2.91 inference(transitivity,[status(thm)],[4255, 4253])).
% 2.75/2.91 tff(4257,plain,
% 2.75/2.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 2.75/2.91 inference(quant_inst,[status(thm)],[])).
% 2.75/2.91 tff(4258,plain,
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% 2.75/2.91 inference(modus_ponens,[status(thm)],[4257, 4256])).
% 2.75/2.91 tff(4259,plain,
% 2.75/2.91 ($false),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[4258, 213, 1065, 4252, 4244, 4222])).
% 2.75/2.91 tff(4260,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.91 tff(4261,plain,
% 2.75/2.91 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[4260, 4218, 10, 4220, 1556, 7, 4204, 6, 4206])).
% 2.75/2.91 tff(4262,plain,
% 2.75/2.91 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[316, 4261])).
% 2.75/2.91 tff(4263,plain,
% 2.75/2.91 (~r(s(s(s(s(z)))), z)),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[2935, 4220, 10, 1556])).
% 2.75/2.91 tff(4264,plain,
% 2.75/2.91 (b(s(s(s(s(z)))), z)),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[170, 4263])).
% 2.75/2.91 tff(4265,plain,
% 2.75/2.91 (~b(z, s(z))),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[4083, 4264, 7, 3760, 4204])).
% 2.75/2.91 tff(4266,plain,
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% 2.75/2.91 inference(unit_resolution,[status(thm)],[370, 4265])).
% 2.75/2.91 tff(4267,plain,
% 2.75/2.91 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[1749, 4266, 9, 4206])).
% 2.75/2.91 tff(4268,plain,
% 2.75/2.91 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.91 inference(unit_resolution,[status(thm)],[450, 4267])).
% 2.75/2.91 tff(4269,plain,
% 2.75/2.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.75/2.91 inference(rewrite,[status(thm)],[])).
% 2.75/2.91 tff(4270,plain,
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% 2.75/2.91 inference(rewrite,[status(thm)],[])).
% 2.75/2.91 tff(4271,plain,
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% 2.75/2.91 inference(monotonicity,[status(thm)],[4270])).
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% 2.75/2.92 inference(transitivity,[status(thm)],[4305, 4303])).
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% 2.75/2.92 ((~![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(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 2.75/2.92 inference(quant_inst,[status(thm)],[])).
% 2.75/2.92 tff(4308,plain,
% 2.75/2.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.75/2.92 inference(modus_ponens,[status(thm)],[4307, 4306])).
% 2.75/2.92 tff(4309,plain,
% 2.75/2.92 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[4308, 76, 10, 4286, 706])).
% 2.75/2.92 tff(4310,plain,
% 2.75/2.92 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[4309, 4298])).
% 2.75/2.92 tff(4311,plain,
% 2.75/2.92 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[627, 4310])).
% 2.75/2.92 tff(4312,plain,
% 2.75/2.92 ($false),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[2820, 4311, 4302, 7, 4300])).
% 2.75/2.92 tff(4313,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.92 tff(4314,plain,
% 2.75/2.92 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[4313, 4264, 4204, 7, 10, 6, 4206, 782, 9])).
% 2.75/2.92 tff(4315,plain,
% 2.75/2.92 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[610, 4314])).
% 2.75/2.92 tff(4316,plain,
% 2.75/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.92 inference(rewrite,[status(thm)],[])).
% 2.75/2.92 tff(4317,plain,
% 2.75/2.92 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.92 inference(rewrite,[status(thm)],[])).
% 2.75/2.92 tff(4318,plain,
% 2.75/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 2.75/2.92 inference(monotonicity,[status(thm)],[4317])).
% 2.75/2.92 tff(4319,plain,
% 2.75/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.92 inference(transitivity,[status(thm)],[4318, 4316])).
% 2.75/2.92 tff(4320,plain,
% 2.75/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.75/2.92 inference(quant_inst,[status(thm)],[])).
% 2.75/2.92 tff(4321,plain,
% 2.75/2.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 2.75/2.92 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 2.75/2.92 tff(4322,plain,
% 2.75/2.92 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[4321, 213, 4315, 4268, 4204, 4280, 2305])).
% 2.75/2.92 tff(4323,plain,
% 2.75/2.92 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[4322, 4262])).
% 2.75/2.92 tff(4324,plain,
% 2.75/2.92 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[436, 4323])).
% 2.75/2.92 tff(4325,plain,
% 2.75/2.92 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[1432, 4262, 782, 4315])).
% 2.75/2.92 tff(4326,plain,
% 2.75/2.92 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[338, 4325])).
% 2.75/2.92 tff(4327,plain,
% 2.75/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.92 inference(rewrite,[status(thm)],[])).
% 2.75/2.92 tff(4328,plain,
% 2.75/2.92 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.92 inference(rewrite,[status(thm)],[])).
% 2.75/2.92 tff(4329,plain,
% 2.75/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 2.75/2.92 inference(monotonicity,[status(thm)],[4328])).
% 2.75/2.92 tff(4330,plain,
% 2.75/2.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.92 inference(transitivity,[status(thm)],[4329, 4327])).
% 2.75/2.92 tff(4331,plain,
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% 2.75/2.92 tff(4343,plain,
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% 2.75/2.92 tff(4347,plain,
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% 2.75/2.92 inference(unit_resolution,[status(thm)],[1042, 4346])).
% 2.75/2.92 tff(4348,plain,
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% 2.75/2.92 tff(4349,plain,
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% 2.75/2.92 tff(4351,plain,
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% 2.75/2.92 inference(unit_resolution,[status(thm)],[370, 4350])).
% 2.75/2.92 tff(4352,plain,
% 2.75/2.92 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.92 inference(unit_resolution,[status(thm)],[1749, 4351, 9, 4206])).
% 2.75/2.92 tff(4353,plain,
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% 2.75/2.92 tff(4355,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.92 tff(4356,plain,
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% 2.75/2.92 inference(unit_resolution,[status(thm)],[4355, 1556, 9, 10, 7, 6])).
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% 2.75/2.92 tff(4361,plain,
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% 2.75/2.92 tff(4362,plain,
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% 2.75/2.92 tff(4365,plain,((~b(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.92 tff(4366,plain,
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% 2.75/2.92 tff(4367,plain,
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% 2.75/2.92 tff(4371,plain,
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% 2.75/2.92 tff(4376,plain,
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% 2.75/2.92 inference(rewrite,[status(thm)],[])).
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% 2.75/2.92 tff(4385,plain,
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% 2.75/2.93 tff(4387,plain,
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% 2.75/2.93 tff(4388,plain,
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% 2.75/2.93 tff(4389,plain,
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% 2.75/2.93 tff(4390,plain,
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% 2.75/2.94 inference(rewrite,[status(thm)],[])).
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% 2.75/2.94 inference(monotonicity,[status(thm)],[4466])).
% 2.75/2.94 tff(4468,plain,
% 2.75/2.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.75/2.94 inference(transitivity,[status(thm)],[4467, 4465])).
% 2.75/2.94 tff(4469,plain,
% 2.75/2.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 2.75/2.94 inference(quant_inst,[status(thm)],[])).
% 2.75/2.94 tff(4470,plain,
% 2.75/2.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.75/2.94 inference(modus_ponens,[status(thm)],[4469, 4468])).
% 2.75/2.94 tff(4471,plain,
% 2.75/2.94 ($false),
% 2.75/2.94 inference(unit_resolution,[status(thm)],[4470, 76, 117, 6, 252, 382, 9])).
% 2.75/2.94 tff(4472,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.94 tff(4473,plain,
% 2.75/2.94 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.94 inference(unit_resolution,[status(thm)],[4472, 4464, 6, 117, 9])).
% 2.75/2.94 tff(4474,plain,
% 2.75/2.94 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.94 inference(unit_resolution,[status(thm)],[436, 4473])).
% 2.75/2.94 tff(4475,plain,
% 2.75/2.94 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.94 inference(unit_resolution,[status(thm)],[2493, 4421, 7, 4186])).
% 2.75/2.94 tff(4476,plain,
% 2.75/2.94 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.94 inference(unit_resolution,[status(thm)],[1042, 4475])).
% 2.75/2.94 tff(4477,plain,
% 2.75/2.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.94 inference(rewrite,[status(thm)],[])).
% 2.75/2.94 tff(4478,plain,
% 2.75/2.94 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.94 inference(rewrite,[status(thm)],[])).
% 2.75/2.94 tff(4479,plain,
% 2.75/2.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.75/2.94 inference(monotonicity,[status(thm)],[4478])).
% 2.75/2.94 tff(4480,plain,
% 2.75/2.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.94 inference(transitivity,[status(thm)],[4479, 4477])).
% 2.75/2.94 tff(4481,plain,
% 2.75/2.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.75/2.94 inference(quant_inst,[status(thm)],[])).
% 2.75/2.94 tff(4482,plain,
% 2.75/2.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.75/2.94 inference(modus_ponens,[status(thm)],[4481, 4480])).
% 2.75/2.94 tff(4483,plain,
% 2.75/2.94 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.94 inference(unit_resolution,[status(thm)],[4482, 76, 6, 1028, 598, 2410])).
% 2.75/2.94 tff(4484,plain,
% 2.75/2.94 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.94 inference(unit_resolution,[status(thm)],[338, 4483])).
% 2.75/2.94 tff(4485,plain,
% 2.75/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.75/2.94 inference(rewrite,[status(thm)],[])).
% 2.75/2.94 tff(4486,plain,
% 2.75/2.94 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.75/2.94 inference(rewrite,[status(thm)],[])).
% 2.75/2.94 tff(4487,plain,
% 2.75/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.75/2.94 inference(monotonicity,[status(thm)],[4486])).
% 2.75/2.94 tff(4488,plain,
% 2.75/2.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.75/2.94 inference(transitivity,[status(thm)],[4487, 4485])).
% 2.75/2.94 tff(4489,plain,
% 2.75/2.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.75/2.94 inference(quant_inst,[status(thm)],[])).
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% 2.75/2.95 tff(4534,plain,
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% 2.75/2.95 inference(unit_resolution,[status(thm)],[4497, 4533, 9, 3760, 4418, 7, 3801, 6, 4523, 2410, 4521, 4517])).
% 2.75/2.95 tff(4535,plain,
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% 2.75/2.95 inference(unit_resolution,[status(thm)],[610, 4534])).
% 2.75/2.95 tff(4536,plain,
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% 2.75/2.95 tff(4538,plain,
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% 2.75/2.95 inference(unit_resolution,[status(thm)],[233, 4540])).
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% 2.75/2.95 tff(4543,plain,
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% 2.75/2.95 tff(4545,plain,
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% 2.75/2.95 inference(unit_resolution,[status(thm)],[370, 4544])).
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% 2.75/2.95 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.95 inference(unit_resolution,[status(thm)],[1749, 4545, 9, 4541])).
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% 2.75/2.95 tff(4548,plain,
% 2.75/2.95 ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 2.75/2.95 inference(unit_resolution,[status(thm)],[4384, 213, 3760, 4186, 7])).
% 2.75/2.95 tff(4549,plain,
% 2.75/2.95 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.95 inference(unit_resolution,[status(thm)],[4548, 4547, 856])).
% 2.75/2.95 tff(4550,plain,
% 2.75/2.95 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 2.75/2.95 tff(4551,plain,
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% 2.75/2.95 inference(unit_resolution,[status(thm)],[2412, 4550, 9, 6, 2410])).
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% 2.75/2.95 inference(unit_resolution,[status(thm)],[1813, 213, 4539, 4552, 4547, 4543])).
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% 2.75/2.95 tff(4555,plain,
% 2.75/2.95 (~r(s(s(s(s(z)))), s(s(s(z))))),
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% 2.75/2.95 tff(4556,plain,
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% 2.75/2.95 tff(4558,plain,
% 2.75/2.95 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 2.75/2.95 tff(4562,plain,
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% 2.75/2.95 inference(unit_resolution,[status(thm)],[115, 4561])).
% 2.75/2.95 tff(4563,plain,
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% 2.75/2.95 tff(4564,plain,
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% 2.75/2.95 inference(unit_resolution,[status(thm)],[535, 4563])).
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% 2.75/2.95 inference(transitivity,[status(thm)],[4567, 4565])).
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% 2.75/2.95 inference(modus_ponens,[status(thm)],[4569, 4568])).
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% 2.75/2.95 tff(4576,plain,
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% 2.75/2.95 tff(4579,plain,
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% 2.75/2.96 inference(rewrite,[status(thm)],[])).
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% 2.75/2.96 inference(monotonicity,[status(thm)],[4636])).
% 2.75/2.96 tff(4638,plain,
% 2.75/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.96 inference(transitivity,[status(thm)],[4637, 4635])).
% 2.75/2.96 tff(4639,plain,
% 2.75/2.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.96 inference(quant_inst,[status(thm)],[])).
% 2.75/2.96 tff(4640,plain,
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% 2.75/2.96 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 2.75/2.96 tff(4641,plain,
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% 2.75/2.96 inference(unit_resolution,[status(thm)],[4640, 213, 506, 468, 2305, 2350])).
% 2.75/2.96 tff(4642,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.96 tff(4643,plain,
% 2.75/2.96 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[4642, 4186, 4634, 4580])).
% 2.75/2.96 tff(4644,plain,
% 2.75/2.96 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[2750, 4643])).
% 2.75/2.96 tff(4645,plain,
% 2.75/2.96 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 2.75/2.96 tff(4646,plain,
% 2.75/2.96 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[1042, 4645])).
% 2.75/2.96 tff(4647,plain,
% 2.75/2.96 (~b(s(z), s(s(s(z))))),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[2366, 4646, 4186, 2985])).
% 2.75/2.96 tff(4648,plain,
% 2.75/2.96 (r(s(z), s(s(s(z))))),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[564, 4647])).
% 2.75/2.96 tff(4649,plain,
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% 2.75/2.96 inference(unit_resolution,[status(thm)],[2493, 4646, 7, 4186])).
% 2.75/2.96 tff(4650,plain,
% 2.75/2.96 (r(z, s(s(s(z))))),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[581, 4649])).
% 2.75/2.96 tff(4651,plain,
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% 2.75/2.96 inference(unit_resolution,[status(thm)],[3866, 2985, 7, 3760])).
% 2.75/2.96 tff(4652,plain,
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% 2.75/2.96 inference(unit_resolution,[status(thm)],[370, 4651])).
% 2.75/2.96 tff(4653,plain,
% 2.75/2.96 ($false),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[2477, 76, 4652, 10, 16, 4650, 4648])).
% 2.75/2.96 tff(4654,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.96 tff(4655,plain,
% 2.75/2.96 (~r(s(s(s(s(z)))), s(z))),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[4654, 6, 7, 9, 10])).
% 2.75/2.96 tff(4656,plain,
% 2.75/2.96 (b(s(s(s(s(z)))), s(z))),
% 2.75/2.96 inference(unit_resolution,[status(thm)],[115, 4655])).
% 2.75/2.96 tff(4657,plain,
% 2.75/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.96 inference(rewrite,[status(thm)],[])).
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% 2.75/2.96 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.96 inference(rewrite,[status(thm)],[])).
% 2.75/2.96 tff(4659,plain,
% 2.75/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 2.75/2.96 inference(monotonicity,[status(thm)],[4658])).
% 2.75/2.96 tff(4660,plain,
% 2.75/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.96 inference(transitivity,[status(thm)],[4659, 4657])).
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% 2.75/2.96 inference(quant_inst,[status(thm)],[])).
% 2.75/2.96 tff(4662,plain,
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% 2.75/2.96 inference(modus_ponens,[status(thm)],[4661, 4660])).
% 2.75/2.96 tff(4663,plain,
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% 2.75/2.96 tff(4664,plain,((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.96 tff(4665,plain,
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% 2.75/2.96 tff(4666,plain,
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% 2.75/2.96 tff(4667,plain,
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% 2.75/2.96 tff(4668,plain,
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% 2.75/2.96 tff(4669,plain,
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% 2.75/2.96 tff(4670,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.96 tff(4671,plain,
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% 2.75/2.96 tff(4672,plain,
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% 2.75/2.96 tff(4673,plain,
% 2.75/2.96 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
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% 2.75/2.96 tff(4674,plain,
% 2.75/2.96 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.75/2.96 inference(rewrite,[status(thm)],[])).
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% 2.75/2.96 tff(4682,plain,
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% 2.75/2.96 tff(4689,plain,
% 2.75/2.96 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
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% 2.75/2.96 inference(monotonicity,[status(thm)],[4689])).
% 2.75/2.96 tff(4691,plain,
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% 2.75/2.96 tff(4695,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
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% 2.75/2.96 tff(4701,plain,
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% 2.75/2.96 tff(4703,plain,
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% 2.75/2.96 tff(4710,plain,
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% 2.75/2.96 inference(rewrite,[status(thm)],[])).
% 2.75/2.96 tff(4713,plain,
% 2.75/2.96 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.96 inference(rewrite,[status(thm)],[])).
% 2.75/2.96 tff(4714,plain,
% 2.75/2.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.75/2.97 inference(monotonicity,[status(thm)],[4713])).
% 2.75/2.97 tff(4715,plain,
% 2.75/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.97 inference(transitivity,[status(thm)],[4714, 4712])).
% 2.75/2.97 tff(4716,plain,
% 2.75/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 2.75/2.97 inference(quant_inst,[status(thm)],[])).
% 2.75/2.97 tff(4717,plain,
% 2.75/2.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.75/2.97 inference(modus_ponens,[status(thm)],[4716, 4715])).
% 2.75/2.97 tff(4718,plain,
% 2.75/2.97 ($false),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4717, 213, 284, 4711, 8, 2350])).
% 2.75/2.97 tff(4719,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.97 tff(4720,plain,
% 2.75/2.97 (~b(s(s(s(s(z)))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4719, 3770, 4701, 11, 5, 9])).
% 2.75/2.97 tff(4721,plain,
% 2.75/2.97 (r(s(s(s(s(z)))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[115, 4720])).
% 2.75/2.97 tff(4722,plain,
% 2.75/2.97 (~r(s(z), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[358, 4721, 10, 350])).
% 2.75/2.97 tff(4723,plain,
% 2.75/2.97 (b(s(z), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[796, 4722])).
% 2.75/2.97 tff(4724,plain,
% 2.75/2.97 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[2745, 4723, 3770, 4701])).
% 2.75/2.97 tff(4725,plain,
% 2.75/2.97 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[2750, 4724])).
% 2.75/2.97 tff(4726,plain,
% 2.75/2.97 (((~![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(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.75/2.97 inference(rewrite,[status(thm)],[])).
% 2.75/2.97 tff(4727,plain,
% 2.75/2.97 (((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.75/2.97 inference(rewrite,[status(thm)],[])).
% 2.75/2.97 tff(4728,plain,
% 2.75/2.97 (((~![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(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, 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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))))),
% 2.75/2.97 inference(monotonicity,[status(thm)],[4727])).
% 2.75/2.97 tff(4729,plain,
% 2.75/2.97 (((~![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(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, 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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.75/2.97 inference(transitivity,[status(thm)],[4728, 4726])).
% 2.75/2.97 tff(4730,plain,
% 2.75/2.97 ((~![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(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 2.75/2.97 inference(quant_inst,[status(thm)],[])).
% 2.75/2.97 tff(4731,plain,
% 2.75/2.97 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 2.75/2.97 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 2.75/2.97 tff(4732,plain,
% 2.75/2.97 ($false),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4731, 76, 350, 4721, 4699, 4725, 3781])).
% 2.75/2.97 tff(4733,plain,((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.97 tff(4734,plain,
% 2.75/2.97 (~r(z, s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4733, 5, 11, 10, 9, 7])).
% 2.75/2.97 tff(4735,plain,
% 2.75/2.97 (b(z, s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[370, 4734])).
% 2.75/2.97 tff(4736,plain,
% 2.75/2.97 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[3866, 4735, 7, 3760])).
% 2.75/2.97 tff(4737,plain,
% 2.75/2.97 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[450, 4736])).
% 2.75/2.97 tff(4738,plain,
% 2.75/2.97 (~r(s(s(s(z))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[682, 4737, 9, 11])).
% 2.75/2.97 tff(4739,plain,
% 2.75/2.97 (b(s(s(s(z))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[535, 4738])).
% 2.75/2.97 tff(4740,plain,
% 2.75/2.97 (~b(s(s(s(z))), z)),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[3892, 4739, 3760, 4735])).
% 2.75/2.97 tff(4741,plain,
% 2.75/2.97 (r(s(s(s(z))), z)),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[2303, 4740])).
% 2.75/2.97 tff(4742,plain,
% 2.75/2.97 (~b(z, s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[3945, 213, 3760, 4735, 4739])).
% 2.75/2.97 tff(4743,plain,
% 2.75/2.97 (r(z, s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[581, 4742])).
% 2.75/2.97 tff(4744,plain,
% 2.75/2.97 ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[1492, 76, 10, 11, 5])).
% 2.75/2.97 tff(4745,plain,
% 2.75/2.97 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4744, 4743])).
% 2.75/2.97 tff(4746,plain,
% 2.75/2.97 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[233, 4745])).
% 2.75/2.97 tff(4747,plain,
% 2.75/2.97 (~b(s(s(s(s(z)))), z)),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[221, 4746, 7, 4697])).
% 2.75/2.97 tff(4748,plain,
% 2.75/2.97 (r(s(s(s(s(z)))), z)),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[170, 4747])).
% 2.75/2.97 tff(4749,plain,
% 2.75/2.97 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[2935, 4748, 10, 4741])).
% 2.75/2.97 tff(4750,plain,
% 2.75/2.97 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[1871, 4749])).
% 2.75/2.97 tff(4751,plain,
% 2.75/2.97 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[3954, 4748, 3760, 4735, 4739])).
% 2.75/2.97 tff(4752,plain,
% 2.75/2.97 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[2750, 4751])).
% 2.75/2.97 tff(4753,plain,
% 2.75/2.97 (~b(s(z), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[2745, 4752, 4739, 4750])).
% 2.75/2.97 tff(4754,plain,
% 2.75/2.97 (r(s(z), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[796, 4753])).
% 2.75/2.97 tff(4755,plain,
% 2.75/2.97 (~b(s(s(s(s(z)))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4719, 4750, 4739, 11, 5, 9])).
% 2.75/2.97 tff(4756,plain,
% 2.75/2.97 (r(s(s(s(s(z)))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[115, 4755])).
% 2.75/2.97 tff(4757,plain,
% 2.75/2.97 ($false),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[461, 4756, 4754, 5, 4737])).
% 2.75/2.97 tff(4758,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.97 tff(4759,plain,
% 2.75/2.97 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4758, 11, 9, 10, 7])).
% 2.75/2.97 tff(4760,plain,
% 2.75/2.97 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[250, 4759])).
% 2.75/2.97 tff(4761,plain,
% 2.75/2.97 (~b(s(s(s(s(z)))), z)),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4083, 1, 7, 3760, 4760])).
% 2.75/2.97 tff(4762,plain,
% 2.75/2.97 (r(s(s(s(s(z)))), z)),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[170, 4761])).
% 2.75/2.97 tff(4763,plain,
% 2.75/2.97 (~r(s(s(s(z))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[682, 4582, 9, 11])).
% 2.75/2.97 tff(4764,plain,
% 2.75/2.97 (b(s(s(s(z))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[535, 4763])).
% 2.75/2.97 tff(4765,plain,
% 2.75/2.97 (~b(z, s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[3945, 213, 3760, 1, 4764])).
% 2.75/2.97 tff(4766,plain,
% 2.75/2.97 (r(z, s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[581, 4765])).
% 2.75/2.97 tff(4767,plain,
% 2.75/2.97 (~b(s(s(s(z))), z)),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[3892, 4764, 3760, 1])).
% 2.75/2.97 tff(4768,plain,
% 2.75/2.97 (r(s(s(s(z))), z)),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[2303, 4767])).
% 2.75/2.97 tff(4769,plain,
% 2.75/2.97 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[2935, 4768, 10, 4762])).
% 2.75/2.97 tff(4770,plain,
% 2.75/2.97 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[1871, 4769])).
% 2.75/2.97 tff(4771,plain,
% 2.75/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.97 inference(rewrite,[status(thm)],[])).
% 2.75/2.97 tff(4772,plain,
% 2.75/2.97 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.97 inference(rewrite,[status(thm)],[])).
% 2.75/2.97 tff(4773,plain,
% 2.75/2.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.75/2.97 inference(monotonicity,[status(thm)],[4772])).
% 2.75/2.97 tff(4774,plain,
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% 2.75/2.97 inference(transitivity,[status(thm)],[4773, 4771])).
% 2.75/2.97 tff(4775,plain,
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% 2.75/2.97 inference(quant_inst,[status(thm)],[])).
% 2.75/2.97 tff(4776,plain,
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% 2.75/2.97 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 2.75/2.97 tff(4777,plain,
% 2.75/2.97 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[4776, 213, 4760, 4697, 4770])).
% 2.75/2.97 tff(4778,plain,
% 2.75/2.97 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[1042, 4777])).
% 2.75/2.97 tff(4779,plain,
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% 2.75/2.97 tff(4780,plain,
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% 2.75/2.97 tff(4781,plain,
% 2.75/2.97 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.75/2.97 inference(unit_resolution,[status(thm)],[3226, 598, 15, 9])).
% 2.75/2.97 tff(4782,plain,
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% 2.75/2.97 inference(unit_resolution,[status(thm)],[610, 4781])).
% 2.75/2.97 tff(4783,plain,
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% 2.75/2.97 tff(4784,plain,
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% 2.75/2.97 inference(rewrite,[status(thm)],[])).
% 2.75/2.97 tff(4785,plain,
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% 2.75/2.97 inference(monotonicity,[status(thm)],[4784])).
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% 2.75/2.97 inference(transitivity,[status(thm)],[4785, 4783])).
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% 2.75/2.97 tff(4789,plain,
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% 2.75/2.97 tff(4790,plain,
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% 2.75/2.97 tff(4791,plain,
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% 2.75/2.97 tff(4793,plain,
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% 2.75/2.97 tff(4801,plain,
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% 2.75/2.98 inference(unit_resolution,[status(thm)],[581, 4808])).
% 2.75/2.98 tff(4810,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4811,plain,
% 2.75/2.98 (((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4812,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.75/2.98 inference(monotonicity,[status(thm)],[4811])).
% 2.75/2.98 tff(4813,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.98 inference(transitivity,[status(thm)],[4812, 4810])).
% 2.75/2.98 tff(4814,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.75/2.98 inference(quant_inst,[status(thm)],[])).
% 2.75/2.98 tff(4815,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.75/2.98 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 2.75/2.98 tff(4816,plain,
% 2.75/2.98 ($false),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4815, 213, 3760, 2650, 4809, 7, 4805])).
% 2.75/2.98 tff(4817,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.98 tff(4818,plain,
% 2.75/2.98 (~r(s(s(s(z))), s(z))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4817, 11, 10, 7, 9])).
% 2.75/2.98 tff(4819,plain,
% 2.75/2.98 (b(s(s(s(z))), s(z))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[535, 4818])).
% 2.75/2.98 tff(4820,plain,
% 2.75/2.98 (~b(s(z), s(s(s(s(z)))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[790, 3, 4697, 4760])).
% 2.75/2.98 tff(4821,plain,
% 2.75/2.98 (r(s(z), s(s(s(s(z)))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[796, 4820])).
% 2.75/2.98 tff(4822,plain,
% 2.75/2.98 (~r(s(s(s(s(z)))), s(z))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[358, 4821, 10, 4802])).
% 2.75/2.98 tff(4823,plain,
% 2.75/2.98 (b(s(s(s(s(z)))), s(z))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[115, 4822])).
% 2.75/2.98 tff(4824,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4825,plain,
% 2.75/2.98 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4826,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.75/2.98 inference(monotonicity,[status(thm)],[4825])).
% 2.75/2.98 tff(4827,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(transitivity,[status(thm)],[4826, 4824])).
% 2.75/2.98 tff(4828,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.75/2.98 inference(quant_inst,[status(thm)],[])).
% 2.75/2.98 tff(4829,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.75/2.98 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 2.75/2.98 tff(4830,plain,
% 2.75/2.98 ($false),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4829, 213, 284, 3, 856, 468, 8])).
% 2.75/2.98 tff(4831,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.98 tff(4832,plain,
% 2.75/2.98 (~b(s(z), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4831, 4823, 3, 4760, 4819])).
% 2.75/2.98 tff(4833,plain,
% 2.75/2.98 (r(s(z), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[564, 4832])).
% 2.75/2.98 tff(4834,plain,
% 2.75/2.98 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[1992, 4833, 9, 11])).
% 2.75/2.98 tff(4835,plain,
% 2.75/2.98 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[1042, 4834])).
% 2.75/2.98 tff(4836,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4837,plain,
% 2.75/2.98 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4838,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.75/2.98 inference(monotonicity,[status(thm)],[4837])).
% 2.75/2.98 tff(4839,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(transitivity,[status(thm)],[4838, 4836])).
% 2.75/2.98 tff(4840,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.98 inference(quant_inst,[status(thm)],[])).
% 2.75/2.98 tff(4841,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.75/2.98 inference(modus_ponens,[status(thm)],[4840, 4839])).
% 2.75/2.98 tff(4842,plain,
% 2.75/2.98 ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4841, 213, 3, 4760, 4697, 4819])).
% 2.75/2.98 tff(4843,plain,
% 2.75/2.98 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4842, 4835])).
% 2.75/2.98 tff(4844,plain,
% 2.75/2.98 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[1871, 4843])).
% 2.75/2.98 tff(4845,plain,
% 2.75/2.98 (~r(s(s(s(s(z)))), z)),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[2935, 1556, 10, 2296])).
% 2.75/2.98 tff(4846,plain,
% 2.75/2.98 (b(s(s(s(s(z)))), z)),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[170, 4845])).
% 2.75/2.98 tff(4847,plain,
% 2.75/2.98 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[735, 4846, 7, 4760])).
% 2.75/2.98 tff(4848,plain,
% 2.75/2.98 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[233, 4847])).
% 2.75/2.98 tff(4849,plain,
% 2.75/2.98 (~b(z, s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[1073, 4846, 7, 4760, 4819, 4823, 3])).
% 2.75/2.98 tff(4850,plain,
% 2.75/2.98 (r(z, s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[581, 4849])).
% 2.75/2.98 tff(4851,plain,
% 2.75/2.98 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[3486, 4850, 1556, 4848, 10])).
% 2.75/2.98 tff(4852,plain,
% 2.75/2.98 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[1042, 4851])).
% 2.75/2.98 tff(4853,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4854,plain,
% 2.75/2.98 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4855,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.75/2.98 inference(monotonicity,[status(thm)],[4854])).
% 2.75/2.98 tff(4856,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(transitivity,[status(thm)],[4855, 4853])).
% 2.75/2.98 tff(4857,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 2.75/2.98 inference(quant_inst,[status(thm)],[])).
% 2.75/2.98 tff(4858,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.75/2.98 inference(modus_ponens,[status(thm)],[4857, 4856])).
% 2.75/2.98 tff(4859,plain,
% 2.75/2.98 ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4858, 213, 3760, 7, 4819])).
% 2.75/2.98 tff(4860,plain,
% 2.75/2.98 (~b(s(z), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4859, 4852, 3])).
% 2.75/2.98 tff(4861,plain,
% 2.75/2.98 (r(s(z), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[564, 4860])).
% 2.75/2.98 tff(4862,plain,
% 2.75/2.98 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4006, 4861, 11, 9, 4821])).
% 2.75/2.98 tff(4863,plain,
% 2.75/2.98 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[2750, 4862])).
% 2.75/2.98 tff(4864,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4865,plain,
% 2.75/2.98 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4866,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.75/2.98 inference(monotonicity,[status(thm)],[4865])).
% 2.75/2.98 tff(4867,plain,
% 2.75/2.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.98 inference(transitivity,[status(thm)],[4866, 4864])).
% 2.75/2.98 tff(4868,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.98 inference(quant_inst,[status(thm)],[])).
% 2.75/2.98 tff(4869,plain,
% 2.75/2.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.75/2.98 inference(modus_ponens,[status(thm)],[4868, 4867])).
% 2.75/2.98 tff(4870,plain,
% 2.75/2.98 ($false),
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% 2.75/2.98 tff(4871,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.98 tff(4872,plain,
% 2.75/2.98 (~r(s(s(s(z))), z)),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[4871, 4844, 11, 9, 3, 10, 7])).
% 2.75/2.98 tff(4873,plain,
% 2.75/2.98 (b(s(s(s(z))), z)),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[2303, 4872])).
% 2.75/2.98 tff(4874,plain,
% 2.75/2.98 (~b(z, s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[1515, 4873, 7, 4835])).
% 2.75/2.98 tff(4875,plain,
% 2.75/2.98 (r(z, s(s(s(z))))),
% 2.75/2.98 inference(unit_resolution,[status(thm)],[581, 4874])).
% 2.75/2.98 tff(4876,plain,
% 2.75/2.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4877,plain,
% 2.75/2.98 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z)))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.75/2.98 inference(rewrite,[status(thm)],[])).
% 2.75/2.98 tff(4878,plain,
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% 2.75/2.99 inference(monotonicity,[status(thm)],[4877])).
% 2.75/2.99 tff(4879,plain,
% 2.75/2.99 (((~![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(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.75/2.99 inference(transitivity,[status(thm)],[4878, 4876])).
% 2.75/2.99 tff(4880,plain,
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% 2.75/2.99 inference(quant_inst,[status(thm)],[])).
% 2.75/2.99 tff(4881,plain,
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% 2.75/2.99 inference(modus_ponens,[status(thm)],[4880, 4879])).
% 2.75/2.99 tff(4882,plain,
% 2.75/2.99 ($false),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4881, 76, 4802, 10, 4875, 4833, 4844])).
% 2.75/2.99 tff(4883,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.99 tff(4884,plain,
% 2.75/2.99 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4883, 11, 7, 10, 9])).
% 2.75/2.99 tff(4885,plain,
% 2.75/2.99 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[450, 4884])).
% 2.75/2.99 tff(4886,plain,
% 2.75/2.99 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[1749, 4885, 9, 4802])).
% 2.75/2.99 tff(4887,plain,
% 2.75/2.99 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[233, 4886])).
% 2.75/2.99 tff(4888,plain,
% 2.75/2.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[725, 467, 203, 468])).
% 2.75/2.99 tff(4889,plain,
% 2.75/2.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[316, 4888])).
% 2.75/2.99 tff(4890,plain,
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% 2.75/2.99 inference(unit_resolution,[status(thm)],[1207, 4889, 4598, 10, 3468])).
% 2.75/2.99 tff(4891,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.99 tff(4892,plain,
% 2.75/2.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4891, 4760, 4697, 10, 7, 4887])).
% 2.75/2.99 tff(4893,plain,
% 2.75/2.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[484, 4892])).
% 2.75/2.99 tff(4894,plain,
% 2.75/2.99 (~b(s(s(s(s(z)))), z)),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[221, 4887, 7, 4697])).
% 2.75/2.99 tff(4895,plain,
% 2.75/2.99 (r(s(s(s(s(z)))), z)),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[170, 4894])).
% 2.75/2.99 tff(4896,plain,
% 2.75/2.99 (~b(s(s(s(z))), z)),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[3779, 4887, 7, 3760, 4819])).
% 2.75/2.99 tff(4897,plain,
% 2.75/2.99 (r(s(s(s(z))), z)),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[2303, 4896])).
% 2.75/2.99 tff(4898,plain,
% 2.75/2.99 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[2935, 4897, 10, 4895])).
% 2.75/2.99 tff(4899,plain,
% 2.75/2.99 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[1871, 4898])).
% 2.75/2.99 tff(4900,plain,
% 2.75/2.99 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4776, 213, 4760, 4697, 4899])).
% 2.75/2.99 tff(4901,plain,
% 2.75/2.99 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[1042, 4900])).
% 2.75/2.99 tff(4902,plain,
% 2.75/2.99 (~r(s(z), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[1992, 4901, 9, 11])).
% 2.75/2.99 tff(4903,plain,
% 2.75/2.99 (b(s(z), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[564, 4902])).
% 2.75/2.99 tff(4904,plain,
% 2.75/2.99 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[3226, 4893, 4885, 9])).
% 2.75/2.99 tff(4905,plain,
% 2.75/2.99 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[610, 4904])).
% 2.75/2.99 tff(4906,plain,
% 2.75/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.99 inference(rewrite,[status(thm)],[])).
% 2.75/2.99 tff(4907,plain,
% 2.75/2.99 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.75/2.99 inference(rewrite,[status(thm)],[])).
% 2.75/2.99 tff(4908,plain,
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% 2.75/2.99 inference(monotonicity,[status(thm)],[4907])).
% 2.75/2.99 tff(4909,plain,
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% 2.75/2.99 inference(transitivity,[status(thm)],[4908, 4906])).
% 2.75/2.99 tff(4910,plain,
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% 2.75/2.99 inference(quant_inst,[status(thm)],[])).
% 2.75/2.99 tff(4911,plain,
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% 2.75/2.99 inference(modus_ponens,[status(thm)],[4910, 4909])).
% 2.75/2.99 tff(4912,plain,
% 2.75/2.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4911, 213, 4905, 4903, 4819])).
% 2.75/2.99 tff(4913,plain,
% 2.75/2.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[653, 4912])).
% 2.75/2.99 tff(4914,plain,
% 2.75/2.99 ($false),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[3341, 76, 11, 4901, 4913, 4893])).
% 2.75/2.99 tff(4915,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.99 tff(4916,plain,
% 2.75/2.99 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 2.75/2.99 tff(4917,plain,
% 2.75/2.99 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 2.75/2.99 tff(4918,plain,
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% 2.75/2.99 tff(4919,plain,
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% 2.75/2.99 inference(unit_resolution,[status(thm)],[233, 4918])).
% 2.75/2.99 tff(4920,plain,
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% 2.75/2.99 tff(4921,plain,
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% 2.75/2.99 inference(unit_resolution,[status(thm)],[370, 4920])).
% 2.75/2.99 tff(4922,plain,
% 2.75/2.99 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
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% 2.75/2.99 tff(4923,plain,
% 2.75/2.99 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[450, 4922])).
% 2.75/2.99 tff(4924,plain,
% 2.75/2.99 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[3462, 4917, 10, 4697, 7])).
% 2.75/2.99 tff(4925,plain,
% 2.75/2.99 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[1042, 4924])).
% 2.75/2.99 tff(4926,plain,
% 2.75/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.99 inference(rewrite,[status(thm)],[])).
% 2.75/2.99 tff(4927,plain,
% 2.75/2.99 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.99 inference(rewrite,[status(thm)],[])).
% 2.75/2.99 tff(4928,plain,
% 2.75/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 2.75/2.99 inference(monotonicity,[status(thm)],[4927])).
% 2.75/2.99 tff(4929,plain,
% 2.75/2.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 2.75/2.99 inference(transitivity,[status(thm)],[4928, 4926])).
% 2.75/2.99 tff(4930,plain,
% 2.75/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.75/2.99 inference(quant_inst,[status(thm)],[])).
% 2.75/2.99 tff(4931,plain,
% 2.75/2.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))),
% 2.75/2.99 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 2.75/2.99 tff(4932,plain,
% 2.75/2.99 ($false),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4931, 213, 3771, 1, 506, 7, 1016])).
% 2.75/2.99 tff(4933,plain,((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.99 tff(4934,plain,
% 2.75/2.99 (~b(s(s(s(z))), z)),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4933, 4921, 4917, 7, 3760])).
% 2.75/2.99 tff(4935,plain,
% 2.75/2.99 (r(s(s(s(z))), z)),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[2303, 4934])).
% 2.75/2.99 tff(4936,plain,
% 2.75/2.99 (~r(s(s(s(s(z)))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[1564, 1556, 1028, 15, 5])).
% 2.75/2.99 tff(4937,plain,
% 2.75/2.99 (b(s(s(s(s(z)))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[115, 4936])).
% 2.75/2.99 tff(4938,plain,
% 2.75/2.99 ($false),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4109, 4846, 4937, 3771, 1])).
% 2.75/2.99 tff(4939,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.99 tff(4940,plain,
% 2.75/2.99 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4939, 4921, 3760, 10, 4935, 4925, 4923, 5])).
% 2.75/2.99 tff(4941,plain,
% 2.75/2.99 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[1871, 4940])).
% 2.75/2.99 tff(4942,plain,
% 2.75/2.99 ($false),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[3738, 76, 15, 5, 1028, 12, 2410])).
% 2.75/2.99 tff(4943,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.99 tff(4944,plain,
% 2.75/2.99 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4943, 12, 5, 1028, 15])).
% 2.75/2.99 tff(4945,plain,
% 2.75/2.99 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[2750, 4944])).
% 2.75/2.99 tff(4946,plain,
% 2.75/2.99 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.99 inference(rewrite,[status(thm)],[])).
% 2.75/2.99 tff(4947,plain,
% 2.75/2.99 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.99 inference(rewrite,[status(thm)],[])).
% 2.75/2.99 tff(4948,plain,
% 2.75/2.99 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.75/2.99 inference(monotonicity,[status(thm)],[4947])).
% 2.75/2.99 tff(4949,plain,
% 2.75/2.99 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.99 inference(transitivity,[status(thm)],[4948, 4946])).
% 2.75/2.99 tff(4950,plain,
% 2.75/2.99 ((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.75/2.99 inference(quant_inst,[status(thm)],[])).
% 2.75/2.99 tff(4951,plain,
% 2.75/2.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.75/2.99 inference(modus_ponens,[status(thm)],[4950, 4949])).
% 2.75/2.99 tff(4952,plain,
% 2.75/2.99 ($false),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4951, 76, 117, 15, 5, 1028, 12])).
% 2.75/2.99 tff(4953,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.99 tff(4954,plain,
% 2.75/2.99 (~r(s(z), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4953, 12, 5, 1028, 15])).
% 2.75/2.99 tff(4955,plain,
% 2.75/2.99 (b(s(z), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[796, 4954])).
% 2.75/2.99 tff(4956,plain,
% 2.75/2.99 (~b(s(z), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[2357, 4955, 2350, 4945])).
% 2.75/2.99 tff(4957,plain,
% 2.75/2.99 (r(s(z), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[564, 4956])).
% 2.75/2.99 tff(4958,plain,
% 2.75/2.99 ($false),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4594, 76, 15, 1028, 4957, 12])).
% 2.75/2.99 tff(4959,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/2.99 tff(4960,plain,
% 2.75/2.99 (~r(s(s(s(z))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[4959, 4923, 4925, 4941, 5])).
% 2.75/2.99 tff(4961,plain,
% 2.75/2.99 (b(s(s(s(z))), s(z))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[535, 4960])).
% 2.75/2.99 tff(4962,plain,
% 2.75/2.99 (~b(z, s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[3945, 213, 3760, 4921, 4961])).
% 2.75/2.99 tff(4963,plain,
% 2.75/2.99 (r(z, s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[581, 4962])).
% 2.75/2.99 tff(4964,plain,
% 2.75/2.99 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[3543, 4963, 4919, 10, 5])).
% 2.75/2.99 tff(4965,plain,
% 2.75/2.99 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[2750, 4964])).
% 2.75/2.99 tff(4966,plain,
% 2.75/2.99 (~r(s(z), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[461, 16, 5, 15])).
% 2.75/2.99 tff(4967,plain,
% 2.75/2.99 (b(s(z), s(s(s(s(z)))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[796, 4966])).
% 2.75/2.99 tff(4968,plain,
% 2.75/2.99 (~r(s(z), s(s(s(z))))),
% 2.75/2.99 inference(unit_resolution,[status(thm)],[1659, 16, 1028, 5, 15])).
% 2.75/3.00 tff(4969,plain,
% 2.75/3.00 (b(s(z), s(s(s(z))))),
% 2.75/3.00 inference(unit_resolution,[status(thm)],[564, 4968])).
% 2.75/3.00 tff(4970,plain,
% 2.75/3.00 ($false),
% 2.75/3.00 inference(unit_resolution,[status(thm)],[2357, 4969, 4967, 2350, 2305])).
% 2.75/3.00 tff(4971,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.75/3.00 tff(4972,plain,
% 2.75/3.00 (~r(s(s(s(s(z)))), s(z))),
% 2.75/3.00 inference(unit_resolution,[status(thm)],[4971, 4965, 4941, 4925, 5, 4923])).
% 2.75/3.00 tff(4973,plain,
% 2.75/3.00 (b(s(s(s(s(z)))), s(z))),
% 2.75/3.00 inference(unit_resolution,[status(thm)],[115, 4972])).
% 2.75/3.00 tff(4974,plain,
% 2.75/3.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(4975,plain,
% 2.75/3.01 (((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(4976,plain,
% 2.75/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 2.75/3.01 inference(monotonicity,[status(thm)],[4975])).
% 2.75/3.01 tff(4977,plain,
% 2.75/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 2.75/3.01 inference(transitivity,[status(thm)],[4976, 4974])).
% 2.75/3.01 tff(4978,plain,
% 2.75/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 2.75/3.01 inference(quant_inst,[status(thm)],[])).
% 2.75/3.01 tff(4979,plain,
% 2.75/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 2.75/3.01 inference(modus_ponens,[status(thm)],[4978, 4977])).
% 2.75/3.01 tff(4980,plain,
% 2.75/3.01 ($false),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[4979, 213, 3760, 4921, 4973, 4961, 4965])).
% 2.75/3.01 tff(4981,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/3.01 tff(4982,plain,
% 2.75/3.01 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[4981, 10, 7, 9])).
% 2.75/3.01 tff(4983,plain,
% 2.75/3.01 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[250, 4982])).
% 2.75/3.01 tff(4984,plain,
% 2.75/3.01 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[3622, 4983, 4697, 4917])).
% 2.75/3.01 tff(4985,plain,
% 2.75/3.01 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[1871, 4984])).
% 2.75/3.01 tff(4986,plain,
% 2.75/3.01 (~r(z, s(s(s(z))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[3486, 4985, 4925, 4919, 10])).
% 2.75/3.01 tff(4987,plain,
% 2.75/3.01 (b(z, s(s(s(z))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[581, 4986])).
% 2.75/3.01 tff(4988,plain,
% 2.75/3.01 (~b(s(s(s(z))), z)),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[2797, 4987, 7, 4917])).
% 2.75/3.01 tff(4989,plain,
% 2.75/3.01 (r(s(s(s(z))), z)),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[2303, 4988])).
% 2.75/3.01 tff(4990,plain,
% 2.75/3.01 (~r(s(s(s(s(z)))), z)),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[2935, 4989, 10, 4985])).
% 2.75/3.01 tff(4991,plain,
% 2.75/3.01 (b(s(s(s(s(z)))), z)),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[170, 4990])).
% 2.75/3.01 tff(4992,plain,
% 2.75/3.01 (~b(z, s(z))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[4083, 4991, 7, 3760, 4983])).
% 2.75/3.01 tff(4993,plain,
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% 2.75/3.01 inference(unit_resolution,[status(thm)],[370, 4992])).
% 2.75/3.01 tff(4994,plain,
% 2.75/3.01 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[1749, 4993, 9, 4919])).
% 2.75/3.01 tff(4995,plain,
% 2.75/3.01 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[450, 4994])).
% 2.75/3.01 tff(4996,plain,
% 2.75/3.01 (~b(s(z), s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[790, 4995, 4697, 4983])).
% 2.75/3.01 tff(4997,plain,
% 2.75/3.01 (r(s(z), s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[796, 4996])).
% 2.75/3.01 tff(4998,plain,
% 2.75/3.01 (~r(s(s(s(s(z)))), s(z))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[358, 4997, 10, 4993])).
% 2.75/3.01 tff(4999,plain,
% 2.75/3.01 (b(s(s(s(s(z)))), s(z))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[115, 4998])).
% 2.75/3.01 tff(5000,plain,
% 2.75/3.01 (~b(s(s(s(z))), s(z))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[1073, 4999, 7, 4983, 4987, 4991, 4995])).
% 2.75/3.01 tff(5001,plain,
% 2.75/3.01 (r(s(s(s(z))), s(z))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[535, 5000])).
% 2.75/3.01 tff(5002,plain,
% 2.75/3.01 ($false),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[4570, 76, 4993, 4997, 5001, 4989, 4985])).
% 2.75/3.01 tff(5003,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/3.01 tff(5004,plain,
% 2.75/3.01 (~r(z, s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[5003, 9, 7])).
% 2.75/3.01 tff(5005,plain,
% 2.75/3.01 ((z = s(s(s(s(z))))) <=> (s(s(s(s(z)))) = z)),
% 2.75/3.01 inference(commutativity,[status(thm)],[])).
% 2.75/3.01 tff(5006,plain,
% 2.75/3.01 ((s(s(s(s(z)))) = z) <=> (z = s(s(s(s(z)))))),
% 2.75/3.01 inference(symmetry,[status(thm)],[5005])).
% 2.75/3.01 tff(5007,plain,
% 2.75/3.01 ((~(s(s(s(s(z)))) = z)) <=> (~(z = s(s(s(s(z))))))),
% 2.75/3.01 inference(monotonicity,[status(thm)],[5006])).
% 2.75/3.01 tff(5008,plain,
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% 2.75/3.01 inference(modus_ponens,[status(thm)],[166, 5007])).
% 2.75/3.01 tff(5009,plain,
% 2.75/3.01 (((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z))))))) <=> ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z))))))),
% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(5010,plain,
% 2.75/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | ((z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z))))))),
% 2.75/3.01 inference(quant_inst,[status(thm)],[])).
% 2.75/3.01 tff(5011,plain,
% 2.75/3.01 ((~![Y: $i, X: $i] : ((X = Y) | b(X, Y) | r(X, Y))) | (z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))),
% 2.75/3.01 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 2.75/3.01 tff(5012,plain,
% 2.75/3.01 ((z = s(s(s(s(z))))) | b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[5011, 110])).
% 2.75/3.01 tff(5013,plain,
% 2.75/3.01 (b(z, s(s(s(s(z))))) | r(z, s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[5012, 5008])).
% 2.75/3.01 tff(5014,plain,
% 2.75/3.01 (b(z, s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[5013, 5004])).
% 2.75/3.01 tff(5015,assumption,(b(z, s(s(s(s(z)))))), introduced(assumption)).
% 2.75/3.01 tff(5016,plain,
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% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(5017,plain,
% 2.75/3.01 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(5018,plain,
% 2.75/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.75/3.01 inference(monotonicity,[status(thm)],[5017])).
% 2.75/3.01 tff(5019,plain,
% 2.75/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.75/3.01 inference(transitivity,[status(thm)],[5018, 5016])).
% 2.75/3.01 tff(5020,plain,
% 2.75/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.75/3.01 inference(quant_inst,[status(thm)],[])).
% 2.75/3.01 tff(5021,plain,
% 2.75/3.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.75/3.01 inference(modus_ponens,[status(thm)],[5020, 5019])).
% 2.75/3.01 tff(5022,plain,
% 2.75/3.01 ($false),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[5021, 213, 5015, 191, 7, 468])).
% 2.75/3.01 tff(5023,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/3.01 tff(5024,plain,
% 2.75/3.01 (~b(s(s(s(s(z)))), z)),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[5023, 468, 7, 5014])).
% 2.75/3.01 tff(5025,plain,
% 2.75/3.01 (r(s(s(s(s(z)))), z)),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[170, 5024])).
% 2.75/3.01 tff(5026,plain,
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% 2.75/3.01 tff(5092,plain,
% 2.75/3.01 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[2750, 5091])).
% 2.75/3.01 tff(5093,plain,
% 2.75/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))))),
% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(5094,plain,
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% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(5095,plain,
% 2.75/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z)))))),
% 2.75/3.01 inference(monotonicity,[status(thm)],[5094])).
% 2.75/3.01 tff(5096,plain,
% 2.75/3.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))))),
% 2.75/3.01 inference(transitivity,[status(thm)],[5095, 5093])).
% 2.75/3.01 tff(5097,plain,
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% 2.75/3.01 inference(quant_inst,[status(thm)],[])).
% 2.75/3.01 tff(5098,plain,
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% 2.75/3.01 inference(modus_ponens,[status(thm)],[5097, 5096])).
% 2.75/3.01 tff(5099,plain,
% 2.75/3.01 ($false),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[5098, 213, 5084, 5014, 3, 7, 468, 8, 5092])).
% 2.75/3.01 tff(5100,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/3.01 tff(5101,plain,
% 2.75/3.01 (~r(s(s(s(s(z)))), s(z))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[5100, 468, 7, 3, 5082, 1507, 2, 5054, 9])).
% 2.75/3.01 tff(5102,plain,
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% 2.75/3.01 inference(unit_resolution,[status(thm)],[115, 5101])).
% 2.75/3.01 tff(5103,plain,
% 2.75/3.01 (~b(s(z), s(s(s(z))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[4831, 5102, 3, 468, 5082])).
% 2.75/3.01 tff(5104,plain,
% 2.75/3.01 (r(s(z), s(s(s(z))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[564, 5103])).
% 2.75/3.01 tff(5105,plain,
% 2.75/3.01 (~r(s(z), s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[3797, 5104, 1556, 5037, 9])).
% 2.75/3.01 tff(5106,plain,
% 2.75/3.01 (b(s(z), s(s(s(s(z)))))),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[796, 5105])).
% 2.75/3.01 tff(5107,plain,
% 2.75/3.01 ($false),
% 2.75/3.01 inference(unit_resolution,[status(thm)],[1813, 213, 5106, 5102, 3, 468])).
% 2.75/3.01 tff(5108,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.75/3.01 tff(5109,plain,
% 2.75/3.01 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
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% 2.75/3.01 tff(5110,plain,
% 2.75/3.01 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
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% 2.75/3.01 tff(5111,plain,
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% 2.75/3.01 tff(5112,plain,
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% 2.75/3.01 tff(5113,plain,
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% 2.75/3.01 tff(5114,plain,
% 2.75/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(5115,plain,
% 2.75/3.01 (((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(5116,plain,
% 2.75/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.75/3.01 inference(monotonicity,[status(thm)],[5115])).
% 2.75/3.01 tff(5117,plain,
% 2.75/3.01 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
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% 2.75/3.01 tff(5118,plain,
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% 2.75/3.01 inference(quant_inst,[status(thm)],[])).
% 2.75/3.01 tff(5119,plain,
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% 2.75/3.01 inference(modus_ponens,[status(thm)],[5118, 5117])).
% 2.75/3.01 tff(5120,plain,
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% 2.75/3.01 inference(unit_resolution,[status(thm)],[5119, 76, 2, 117, 5113, 691, 1027])).
% 2.75/3.01 tff(5121,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.75/3.01 tff(5122,plain,
% 2.75/3.01 (~r(s(z), s(s(s(s(z)))))),
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% 2.75/3.01 tff(5123,plain,
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% 2.75/3.01 tff(5125,plain,
% 2.75/3.01 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.75/3.01 inference(rewrite,[status(thm)],[])).
% 2.75/3.01 tff(5126,plain,
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% 2.75/3.01 inference(monotonicity,[status(thm)],[5125])).
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% 2.87/3.02 inference(rewrite,[status(thm)],[])).
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% 2.87/3.02 inference(monotonicity,[status(thm)],[5217])).
% 2.87/3.02 tff(5219,plain,
% 2.87/3.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.87/3.03 inference(transitivity,[status(thm)],[5218, 5216])).
% 2.87/3.03 tff(5220,plain,
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% 2.87/3.03 inference(quant_inst,[status(thm)],[])).
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% 2.87/3.03 tff(5224,plain,
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% 2.87/3.03 tff(5225,plain,
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% 2.87/3.03 tff(5226,plain,
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% 2.87/3.03 inference(monotonicity,[status(thm)],[5227])).
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% 2.87/3.03 tff(5232,plain,
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% 2.87/3.03 tff(5234,plain,
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% 2.87/3.03 tff(5236,plain,
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% 2.87/3.03 tff(5238,plain,
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% 2.87/3.03 tff(5262,plain,
% 2.87/3.03 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
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% 2.87/3.03 tff(5263,plain,
% 2.87/3.03 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[153, 5262])).
% 2.87/3.03 tff(5264,plain,
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% 2.87/3.03 inference(rewrite,[status(thm)],[])).
% 2.87/3.03 tff(5265,plain,
% 2.87/3.03 (((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.87/3.03 inference(rewrite,[status(thm)],[])).
% 2.87/3.03 tff(5266,plain,
% 2.87/3.03 (((~![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(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 2.87/3.03 inference(monotonicity,[status(thm)],[5265])).
% 2.87/3.03 tff(5267,plain,
% 2.87/3.03 (((~![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(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.87/3.03 inference(transitivity,[status(thm)],[5266, 5264])).
% 2.87/3.03 tff(5268,plain,
% 2.87/3.03 ((~![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(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.03 inference(quant_inst,[status(thm)],[])).
% 2.87/3.03 tff(5269,plain,
% 2.87/3.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 2.87/3.03 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 2.87/3.03 tff(5270,plain,
% 2.87/3.03 ($false),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[5269, 76, 2, 117, 5113, 5, 9])).
% 2.87/3.03 tff(5271,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.03 tff(5272,plain,
% 2.87/3.03 (~r(s(z), s(s(s(s(z)))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[5271, 5110, 2, 9, 7])).
% 2.87/3.03 tff(5273,plain,
% 2.87/3.03 (b(s(z), s(s(s(s(z)))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[796, 5272])).
% 2.87/3.03 tff(5274,plain,
% 2.87/3.03 (~b(s(s(s(s(z)))), s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[2538, 5273, 3, 5263])).
% 2.87/3.03 tff(5275,plain,
% 2.87/3.03 (r(s(s(s(s(z)))), s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[115, 5274])).
% 2.87/3.03 tff(5276,plain,
% 2.87/3.03 (~r(s(s(s(z))), s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[896, 76, 5275, 5261, 9, 1556])).
% 2.87/3.03 tff(5277,plain,
% 2.87/3.03 (b(s(s(s(z))), s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[535, 5276])).
% 2.87/3.03 tff(5278,plain,
% 2.87/3.03 ($false),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[5159, 213, 5015, 191, 7, 203])).
% 2.87/3.03 tff(5279,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.03 tff(5280,plain,
% 2.87/3.03 (~b(s(s(s(s(z)))), z)),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[5279, 5263, 7, 5014])).
% 2.87/3.03 tff(5281,plain,
% 2.87/3.03 (r(s(s(s(s(z)))), z)),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[170, 5280])).
% 2.87/3.03 tff(5282,plain,
% 2.87/3.03 (~r(z, s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[3355, 5281, 2, 5275])).
% 2.87/3.03 tff(5283,plain,
% 2.87/3.03 (b(z, s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[370, 5282])).
% 2.87/3.03 tff(5284,plain,
% 2.87/3.03 (~b(s(z), s(s(s(z))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[864, 5283, 3, 5277, 7])).
% 2.87/3.03 tff(5285,plain,
% 2.87/3.03 (r(s(z), s(s(s(z))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[564, 5284])).
% 2.87/3.03 tff(5286,plain,
% 2.87/3.03 (~r(z, s(s(s(z))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[1077, 5285, 2, 5261, 9])).
% 2.87/3.03 tff(5287,plain,
% 2.87/3.03 (b(z, s(s(s(z))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[581, 5286])).
% 2.87/3.03 tff(5288,plain,
% 2.87/3.03 (~b(s(s(s(z))), z)),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[1515, 5287, 7, 1507])).
% 2.87/3.03 tff(5289,plain,
% 2.87/3.03 (r(s(s(s(z))), z)),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[2303, 5288])).
% 2.87/3.03 tff(5290,plain,
% 2.87/3.03 (((~![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(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.87/3.03 inference(rewrite,[status(thm)],[])).
% 2.87/3.03 tff(5291,plain,
% 2.87/3.03 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.87/3.03 inference(rewrite,[status(thm)],[])).
% 2.87/3.03 tff(5292,plain,
% 2.87/3.03 (((~![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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $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(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.87/3.03 inference(monotonicity,[status(thm)],[5291])).
% 2.87/3.03 tff(5293,plain,
% 2.87/3.03 (((~![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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $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(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.87/3.03 inference(transitivity,[status(thm)],[5292, 5290])).
% 2.87/3.03 tff(5294,plain,
% 2.87/3.03 ((~![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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.03 inference(quant_inst,[status(thm)],[])).
% 2.87/3.03 tff(5295,plain,
% 2.87/3.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.87/3.03 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 2.87/3.03 tff(5296,plain,
% 2.87/3.03 ($false),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[5295, 76, 5281, 5261, 5110, 5289, 1556])).
% 2.87/3.03 tff(5297,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.03 tff(5298,plain,
% 2.87/3.03 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[5297, 2, 1507, 7, 9, 3])).
% 2.87/3.03 tff(5299,plain,
% 2.87/3.03 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[1871, 5298])).
% 2.87/3.03 tff(5300,plain,
% 2.87/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.87/3.03 inference(rewrite,[status(thm)],[])).
% 2.87/3.03 tff(5301,plain,
% 2.87/3.03 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(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(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.87/3.03 inference(rewrite,[status(thm)],[])).
% 2.87/3.03 tff(5302,plain,
% 2.87/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))))),
% 2.87/3.03 inference(monotonicity,[status(thm)],[5301])).
% 2.87/3.03 tff(5303,plain,
% 2.87/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.87/3.03 inference(transitivity,[status(thm)],[5302, 5300])).
% 2.87/3.03 tff(5304,plain,
% 2.87/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.87/3.03 inference(quant_inst,[status(thm)],[])).
% 2.87/3.03 tff(5305,plain,
% 2.87/3.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))),
% 2.87/3.03 inference(modus_ponens,[status(thm)],[5304, 5303])).
% 2.87/3.03 tff(5306,plain,
% 2.87/3.03 ($false),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[5305, 213, 5015, 1065, 2305, 2350])).
% 2.87/3.03 tff(5307,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.03 tff(5308,plain,
% 2.87/3.03 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[5307, 1065, 5014, 5299])).
% 2.87/3.03 tff(5309,plain,
% 2.87/3.03 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[2750, 5308])).
% 2.87/3.03 tff(5310,plain,
% 2.87/3.03 (~b(s(s(s(z))), z)),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[1515, 1065, 7, 1507])).
% 2.87/3.03 tff(5311,plain,
% 2.87/3.03 (r(s(s(s(z))), z)),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[2303, 5310])).
% 2.87/3.03 tff(5312,plain,
% 2.87/3.03 (~r(z, s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[4029, 856, 1507, 5299, 9, 468, 1065, 5027, 5311])).
% 2.87/3.03 tff(5313,plain,
% 2.87/3.03 (b(z, s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[370, 5312])).
% 2.87/3.03 tff(5314,plain,
% 2.87/3.03 (~b(s(s(s(z))), s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[864, 5313, 3, 856, 7])).
% 2.87/3.03 tff(5315,plain,
% 2.87/3.03 (r(s(s(s(z))), s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[535, 5314])).
% 2.87/3.03 tff(5316,plain,
% 2.87/3.03 (~r(s(s(s(s(z)))), s(z))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[3633, 5315, 2, 5309, 5025])).
% 2.87/3.03 tff(5317,plain,
% 2.87/3.03 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[2583, 5313, 3, 2, 5027, 1065, 856, 7])).
% 2.87/3.03 tff(5318,plain,
% 2.87/3.03 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.87/3.03 inference(unit_resolution,[status(thm)],[233, 5317])).
% 2.87/3.03 tff(5319,plain,
% 2.87/3.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.04 inference(rewrite,[status(thm)],[])).
% 2.87/3.04 tff(5320,plain,
% 2.87/3.04 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(s(z)))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.04 inference(rewrite,[status(thm)],[])).
% 2.87/3.04 tff(5321,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 2.87/3.04 inference(monotonicity,[status(thm)],[5320])).
% 2.87/3.04 tff(5322,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.04 inference(transitivity,[status(thm)],[5321, 5319])).
% 2.87/3.04 tff(5323,plain,
% 2.87/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(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(s(z))))))))))),
% 2.87/3.04 inference(quant_inst,[status(thm)],[])).
% 2.87/3.04 tff(5324,plain,
% 2.87/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 2.87/3.04 inference(modus_ponens,[status(thm)],[5323, 5322])).
% 2.87/3.04 tff(5325,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5324, 213, 5015, 284, 1507, 1065, 856, 468, 202])).
% 2.87/3.04 tff(5326,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5327,plain,
% 2.87/3.04 (~b(s(s(s(s(z)))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5326, 5318, 1507, 1065, 5014, 468, 856])).
% 2.87/3.04 tff(5328,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[115, 5327, 5316])).
% 2.87/3.04 tff(5329,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5330,plain,
% 2.87/3.04 (~b(s(z), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5329, 1065, 1507, 468, 2, 3, 7, 9])).
% 2.87/3.04 tff(5331,plain,
% 2.87/3.04 (r(s(z), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[564, 5330])).
% 2.87/3.04 tff(5332,plain,
% 2.87/3.04 (~r(s(z), s(s(s(s(z)))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[4006, 5331, 5027, 9, 5309])).
% 2.87/3.04 tff(5333,plain,
% 2.87/3.04 (b(s(z), s(s(s(s(z)))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[796, 5332])).
% 2.87/3.04 tff(5334,plain,
% 2.87/3.04 (~r(s(s(s(z))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2670, 5333, 2, 7, 9, 468, 5037, 5027])).
% 2.87/3.04 tff(5335,plain,
% 2.87/3.04 (~b(s(s(s(z))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[4169, 5333, 5299, 5037, 5027, 5331])).
% 2.87/3.04 tff(5336,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[535, 5335, 5334])).
% 2.87/3.04 tff(5337,plain,((~b(z, s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5338,plain,
% 2.87/3.04 (~b(z, s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5337, 468, 7, 9, 2, 1507, 3])).
% 2.87/3.04 tff(5339,plain,
% 2.87/3.04 (r(z, s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[581, 5338])).
% 2.87/3.04 tff(5340,plain,
% 2.87/3.04 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.87/3.04 inference(rewrite,[status(thm)],[])).
% 2.87/3.04 tff(5341,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.87/3.04 inference(monotonicity,[status(thm)],[5340])).
% 2.87/3.04 tff(5342,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.87/3.04 inference(transitivity,[status(thm)],[5341, 3802])).
% 2.87/3.04 tff(5343,plain,
% 2.87/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.87/3.04 inference(quant_inst,[status(thm)],[])).
% 2.87/3.04 tff(5344,plain,
% 2.87/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.87/3.04 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 2.87/3.04 tff(5345,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5344, 213, 1507, 468, 2305, 2350])).
% 2.87/3.04 tff(5346,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5347,plain,
% 2.87/3.04 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5346, 468, 1507, 5299])).
% 2.87/3.04 tff(5348,plain,
% 2.87/3.04 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2750, 5347])).
% 2.87/3.04 tff(5349,plain,
% 2.87/3.04 (~r(s(s(s(s(z)))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5249, 5348, 2, 5339, 5025])).
% 2.87/3.04 tff(5350,plain,
% 2.87/3.04 (b(s(s(s(s(z)))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[115, 5349])).
% 2.87/3.04 tff(5351,plain,
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% 2.87/3.04 inference(unit_resolution,[status(thm)],[3787, 76, 155, 11, 6, 691, 2410])).
% 2.87/3.04 tff(5352,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5353,plain,
% 2.87/3.04 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5352, 5348, 5037, 5025, 5339])).
% 2.87/3.04 tff(5354,plain,
% 2.87/3.04 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[596, 5353])).
% 2.87/3.04 tff(5355,plain,
% 2.87/3.04 (~b(s(z), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2366, 5354, 1507, 3])).
% 2.87/3.04 tff(5356,plain,
% 2.87/3.04 (r(s(z), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[564, 5355])).
% 2.87/3.04 tff(5357,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5119, 76, 2, 117, 155, 691, 1027])).
% 2.87/3.04 tff(5358,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5359,plain,
% 2.87/3.04 (~r(s(z), s(s(s(s(z)))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5358, 5356, 2, 5025, 5339])).
% 2.87/3.04 tff(5360,plain,
% 2.87/3.04 (b(s(z), s(s(s(s(z)))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[796, 5359])).
% 2.87/3.04 tff(5361,plain,
% 2.87/3.04 (~b(s(s(s(z))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2733, 5360, 5299, 5350])).
% 2.87/3.04 tff(5362,plain,
% 2.87/3.04 (~r(s(s(s(z))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5077, 5360, 3, 7, 468, 5339, 1507, 2, 9, 5350])).
% 2.87/3.04 tff(5363,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[535, 5362, 5361])).
% 2.87/3.04 tff(5364,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5365,plain,
% 2.87/3.04 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5364, 2, 7, 1507, 3, 9])).
% 2.87/3.04 tff(5366,plain,
% 2.87/3.04 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[250, 5365])).
% 2.87/3.04 tff(5367,plain,
% 2.87/3.04 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5259, 5366, 7, 1507, 9, 3, 2])).
% 2.87/3.04 tff(5368,plain,
% 2.87/3.04 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[596, 5367])).
% 2.87/3.04 tff(5369,plain,
% 2.87/3.04 (~r(s(z), s(s(s(s(z)))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5271, 5366, 2, 9, 7])).
% 2.87/3.04 tff(5370,plain,
% 2.87/3.04 (b(s(z), s(s(s(s(z)))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[796, 5369])).
% 2.87/3.04 tff(5371,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.04 inference(rewrite,[status(thm)],[])).
% 2.87/3.04 tff(5372,plain,
% 2.87/3.04 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.04 inference(rewrite,[status(thm)],[])).
% 2.87/3.04 tff(5373,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))))),
% 2.87/3.04 inference(monotonicity,[status(thm)],[5372])).
% 2.87/3.04 tff(5374,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.04 inference(transitivity,[status(thm)],[5373, 5371])).
% 2.87/3.04 tff(5375,plain,
% 2.87/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.04 inference(quant_inst,[status(thm)],[])).
% 2.87/3.04 tff(5376,plain,
% 2.87/3.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))),
% 2.87/3.04 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 2.87/3.04 tff(5377,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5376, 213, 5015, 782, 191, 856, 2350])).
% 2.87/3.04 tff(5378,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5379,plain,
% 2.87/3.04 (~b(s(s(s(s(z)))), z)),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5378, 856, 5370, 5014, 5299])).
% 2.87/3.04 tff(5380,plain,
% 2.87/3.04 (r(s(s(s(s(z)))), z)),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[170, 5379])).
% 2.87/3.04 tff(5381,plain,
% 2.87/3.04 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2357, 856, 5299, 5370])).
% 2.87/3.04 tff(5382,plain,
% 2.87/3.04 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2750, 5381])).
% 2.87/3.04 tff(5383,plain,
% 2.87/3.04 (~r(z, s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[3355, 16, 2, 155])).
% 2.87/3.04 tff(5384,plain,
% 2.87/3.04 (b(z, s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[370, 5383])).
% 2.87/3.04 tff(5385,plain,
% 2.87/3.04 (~r(s(s(s(z))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[3633, 16, 2, 2410, 155])).
% 2.87/3.04 tff(5386,plain,
% 2.87/3.04 (b(s(s(s(z))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[535, 5385])).
% 2.87/3.04 tff(5387,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[864, 5386, 5384, 3, 856, 7])).
% 2.87/3.04 tff(5388,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5389,plain,
% 2.87/3.04 (~r(s(s(s(s(z)))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5388, 856, 3, 7, 2, 5382, 5380])).
% 2.87/3.04 tff(5390,plain,
% 2.87/3.04 (b(s(s(s(s(z)))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[115, 5389])).
% 2.87/3.04 tff(5391,plain,
% 2.87/3.04 (~b(s(s(s(z))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[4719, 5390, 5299, 5366, 5368, 9])).
% 2.87/3.04 tff(5392,plain,
% 2.87/3.04 (r(s(s(s(z))), s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[535, 5391])).
% 2.87/3.04 tff(5393,plain,
% 2.87/3.04 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2538, 5390, 3, 5370])).
% 2.87/3.04 tff(5394,plain,
% 2.87/3.04 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[153, 5393])).
% 2.87/3.04 tff(5395,plain,
% 2.87/3.04 (~r(z, s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5352, 5394, 5368, 5382, 5380])).
% 2.87/3.04 tff(5396,plain,
% 2.87/3.04 (b(z, s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[581, 5395])).
% 2.87/3.04 tff(5397,plain,
% 2.87/3.04 (~b(s(s(s(z))), z)),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[1515, 5396, 7, 1507])).
% 2.87/3.04 tff(5398,plain,
% 2.87/3.04 (r(s(s(s(z))), z)),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2303, 5397])).
% 2.87/3.04 tff(5399,plain,
% 2.87/3.04 (~r(z, s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2775, 5398, 2, 5392])).
% 2.87/3.04 tff(5400,plain,
% 2.87/3.04 (b(z, s(z))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[370, 5399])).
% 2.87/3.04 tff(5401,plain,
% 2.87/3.04 ($false),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5187, 213, 5400, 5014, 5370, 5390])).
% 2.87/3.04 tff(5402,plain,((~b(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.04 tff(5403,plain,
% 2.87/3.04 (~b(s(z), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5402, 2, 7, 1507, 9, 3])).
% 2.87/3.04 tff(5404,plain,
% 2.87/3.04 (r(s(z), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[564, 5403])).
% 2.87/3.04 tff(5405,plain,
% 2.87/3.04 (~r(z, s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[1077, 5404, 2, 5368, 9])).
% 2.87/3.04 tff(5406,plain,
% 2.87/3.04 (b(z, s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[581, 5405])).
% 2.87/3.04 tff(5407,plain,
% 2.87/3.04 (~b(s(s(s(z))), z)),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[1515, 5406, 7, 1507])).
% 2.87/3.04 tff(5408,plain,
% 2.87/3.04 (r(s(s(s(z))), z)),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2303, 5407])).
% 2.87/3.04 tff(5409,plain,
% 2.87/3.04 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[5307, 5406, 5014, 5299])).
% 2.87/3.04 tff(5410,plain,
% 2.87/3.04 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.04 inference(unit_resolution,[status(thm)],[2750, 5409])).
% 2.87/3.04 tff(5411,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.87/3.04 inference(rewrite,[status(thm)],[])).
% 2.87/3.04 tff(5412,plain,
% 2.87/3.04 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.87/3.04 inference(rewrite,[status(thm)],[])).
% 2.87/3.04 tff(5413,plain,
% 2.87/3.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))))),
% 2.87/3.05 inference(monotonicity,[status(thm)],[5412])).
% 2.87/3.05 tff(5414,plain,
% 2.87/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.87/3.05 inference(transitivity,[status(thm)],[5413, 5411])).
% 2.87/3.05 tff(5415,plain,
% 2.87/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 2.87/3.05 inference(quant_inst,[status(thm)],[])).
% 2.87/3.05 tff(5416,plain,
% 2.87/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))),
% 2.87/3.05 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 2.87/3.05 tff(5417,plain,
% 2.87/3.05 ($false),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5416, 213, 5015, 191, 1065, 2350])).
% 2.87/3.05 tff(5418,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.05 tff(5419,plain,
% 2.87/3.05 (~b(s(s(s(s(z)))), z)),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5418, 5406, 5014, 5299])).
% 2.87/3.05 tff(5420,plain,
% 2.87/3.05 (r(s(s(s(s(z)))), z)),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[170, 5419])).
% 2.87/3.05 tff(5421,plain,
% 2.87/3.05 (~r(s(s(s(s(z)))), s(z))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[3266, 76, 5420, 5404, 5410, 5408])).
% 2.87/3.05 tff(5422,plain,
% 2.87/3.05 (b(s(s(s(s(z)))), s(z))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[115, 5421])).
% 2.87/3.05 tff(5423,plain,
% 2.87/3.05 (~b(s(s(s(z))), s(z))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[4719, 5422, 5299, 5366, 5368, 9])).
% 2.87/3.05 tff(5424,plain,
% 2.87/3.05 (r(s(s(s(z))), s(z))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[535, 5423])).
% 2.87/3.05 tff(5425,plain,
% 2.87/3.05 (~r(z, s(z))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[4160, 5424, 7, 5368, 9, 5404])).
% 2.87/3.05 tff(5426,plain,
% 2.87/3.05 (b(z, s(z))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[370, 5425])).
% 2.87/3.05 tff(5427,plain,
% 2.87/3.05 ($false),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5187, 213, 5426, 5014, 5370, 5422])).
% 2.87/3.05 tff(5428,plain,((~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.05 tff(5429,plain,
% 2.87/3.05 (~r(s(z), z)),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5428, 3, 9, 1507, 7])).
% 2.87/3.05 tff(5430,plain,
% 2.87/3.05 (b(s(z), z)),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[3759, 5429])).
% 2.87/3.05 tff(5431,plain,
% 2.87/3.05 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5279, 191, 7, 5014])).
% 2.87/3.05 tff(5432,plain,
% 2.87/3.05 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[153, 5431])).
% 2.87/3.05 tff(5433,plain,
% 2.87/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), 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(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.87/3.05 inference(rewrite,[status(thm)],[])).
% 2.87/3.05 tff(5434,plain,
% 2.87/3.05 (((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.87/3.05 inference(rewrite,[status(thm)],[])).
% 2.87/3.05 tff(5435,plain,
% 2.87/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 2.87/3.05 inference(monotonicity,[status(thm)],[5434])).
% 2.87/3.05 tff(5436,plain,
% 2.87/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 2.87/3.05 inference(transitivity,[status(thm)],[5435, 5433])).
% 2.87/3.05 tff(5437,plain,
% 2.87/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 2.87/3.05 inference(quant_inst,[status(thm)],[])).
% 2.87/3.05 tff(5438,plain,
% 2.87/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 2.87/3.05 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 2.87/3.05 tff(5439,plain,
% 2.87/3.05 ($false),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5438, 213, 3771, 5015, 782, 191])).
% 2.87/3.05 tff(5440,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.05 tff(5441,plain,
% 2.87/3.05 (~b(s(z), s(s(s(s(z)))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5440, 191, 5014, 3771])).
% 2.87/3.05 tff(5442,plain,
% 2.87/3.05 (r(s(z), s(s(s(s(z)))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[796, 5441])).
% 2.87/3.05 tff(5443,plain,
% 2.87/3.05 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5023, 191, 7, 5014])).
% 2.87/3.05 tff(5444,plain,
% 2.87/3.05 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[250, 5443])).
% 2.87/3.05 tff(5445,plain,
% 2.87/3.05 ($false),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[199, 5444, 5442, 9, 5432])).
% 2.87/3.05 tff(5446,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.05 tff(5447,plain,
% 2.87/3.05 (~b(s(s(s(s(z)))), z)),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5446, 5430, 7, 9])).
% 2.87/3.05 tff(5448,plain,
% 2.87/3.05 (r(s(s(s(s(z)))), z)),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[170, 5447])).
% 2.87/3.05 tff(5449,plain,
% 2.87/3.05 ($false),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[4709, 76, 117, 11, 5, 1027, 9])).
% 2.87/3.05 tff(5450,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.05 tff(5451,plain,
% 2.87/3.05 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[5450, 5, 117, 1027, 9])).
% 2.87/3.05 tff(5452,plain,
% 2.87/3.05 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[596, 5451])).
% 2.87/3.05 tff(5453,plain,
% 2.87/3.05 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[3448, 213, 5452, 1507, 201])).
% 2.87/3.05 tff(5454,plain,
% 2.87/3.05 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[1871, 5453])).
% 2.87/3.05 tff(5455,plain,
% 2.87/3.05 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[3458, 5452, 1507, 201])).
% 2.87/3.05 tff(5456,plain,
% 2.87/3.05 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.05 inference(unit_resolution,[status(thm)],[2750, 5455])).
% 2.87/3.05 tff(5457,plain,
% 2.87/3.05 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.87/3.05 inference(rewrite,[status(thm)],[])).
% 2.87/3.05 tff(5458,plain,
% 2.87/3.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.87/3.05 inference(monotonicity,[status(thm)],[5457])).
% 2.87/3.05 tff(5459,plain,
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% 2.87/3.05 tff(5460,plain,
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% 2.87/3.05 tff(5464,plain,
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% 2.87/3.05 tff(5465,plain,
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% 2.87/3.05 tff(5466,plain,
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% 2.87/3.05 tff(5467,plain,
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% 2.87/3.05 tff(5468,plain,
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% 2.87/3.05 tff(5469,plain,
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% 2.87/3.05 tff(5470,plain,
% 2.87/3.05 (~b(s(s(s(s(z)))), s(s(s(z))))),
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% 2.87/3.05 tff(5471,plain,
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% 2.87/3.05 inference(unit_resolution,[status(thm)],[2750, 5470])).
% 2.87/3.05 tff(5472,plain,
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% 2.87/3.05 tff(5473,plain,
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% 2.87/3.05 tff(5475,plain,
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% 2.87/3.05 tff(5476,plain,
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% 2.87/3.05 tff(5477,plain,
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% 2.87/3.05 inference(unit_resolution,[status(thm)],[581, 5476])).
% 2.87/3.05 tff(5478,plain,
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% 2.87/3.05 tff(5479,plain,
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% 2.87/3.05 inference(unit_resolution,[status(thm)],[370, 5478])).
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% 2.87/3.05 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
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% 2.87/3.05 tff(5481,plain,
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% 2.87/3.05 tff(5482,plain,
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% 2.87/3.05 inference(rewrite,[status(thm)],[])).
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% 2.87/3.05 inference(monotonicity,[status(thm)],[5483])).
% 2.87/3.05 tff(5485,plain,
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% 2.87/3.05 inference(quant_inst,[status(thm)],[])).
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% 2.87/3.05 tff(5490,plain,
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% 2.87/3.05 tff(5492,plain,
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% 2.87/3.05 tff(5493,plain,
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% 2.87/3.05 tff(5495,plain,
% 2.87/3.05 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.87/3.05 inference(rewrite,[status(thm)],[])).
% 2.87/3.05 tff(5496,plain,
% 2.87/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.87/3.05 inference(monotonicity,[status(thm)],[5495])).
% 2.87/3.05 tff(5497,plain,
% 2.87/3.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.87/3.05 inference(transitivity,[status(thm)],[5496, 5494])).
% 2.87/3.05 tff(5498,plain,
% 2.87/3.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.87/3.05 inference(quant_inst,[status(thm)],[])).
% 2.87/3.05 tff(5499,plain,
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% 2.87/3.05 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 2.87/3.05 tff(5500,plain,
% 2.87/3.05 ($false),
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% 2.87/3.06 inference(unit_resolution,[status(thm)],[2115, 5549, 5473, 1507])).
% 2.87/3.06 tff(5561,plain,
% 2.87/3.06 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.87/3.06 inference(unit_resolution,[status(thm)],[653, 5560])).
% 2.87/3.06 tff(5562,plain,
% 2.87/3.06 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.87/3.06 inference(rewrite,[status(thm)],[])).
% 2.87/3.06 tff(5563,plain,
% 2.87/3.06 (((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5564,plain,
% 2.87/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(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(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))))),
% 2.87/3.07 inference(monotonicity,[status(thm)],[5563])).
% 2.87/3.07 tff(5565,plain,
% 2.87/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(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(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 2.87/3.07 inference(transitivity,[status(thm)],[5564, 5562])).
% 2.87/3.07 tff(5566,plain,
% 2.87/3.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.87/3.07 inference(quant_inst,[status(thm)],[])).
% 2.87/3.07 tff(5567,plain,
% 2.87/3.07 ((~![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(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))),
% 2.87/3.07 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 2.87/3.07 tff(5568,plain,
% 2.87/3.07 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5567, 76, 5448, 5477, 5561])).
% 2.87/3.07 tff(5569,plain,
% 2.87/3.07 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5568, 5557])).
% 2.87/3.07 tff(5570,plain,
% 2.87/3.07 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[316, 5569])).
% 2.87/3.07 tff(5571,plain,
% 2.87/3.07 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5489, 5570, 5014, 5559])).
% 2.87/3.07 tff(5572,plain,
% 2.87/3.07 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[819, 5571])).
% 2.87/3.07 tff(5573,plain,
% 2.87/3.07 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5574,plain,
% 2.87/3.07 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(z)))) <=> ((~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5575,plain,
% 2.87/3.07 (((~![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(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(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(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.87/3.07 inference(monotonicity,[status(thm)],[5574])).
% 2.87/3.07 tff(5576,plain,
% 2.87/3.07 (((~![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(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(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(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.87/3.07 inference(transitivity,[status(thm)],[5575, 5573])).
% 2.87/3.07 tff(5577,plain,
% 2.87/3.07 ((~![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(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(z))))),
% 2.87/3.07 inference(quant_inst,[status(thm)],[])).
% 2.87/3.07 tff(5578,plain,
% 2.87/3.07 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.87/3.07 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 2.87/3.07 tff(5579,plain,
% 2.87/3.07 ($false),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5578, 76, 5543, 5477, 5561, 5547, 5572])).
% 2.87/3.07 tff(5580,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.07 tff(5581,plain,
% 2.87/3.07 (~r(s(z), s(s(s(z))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5580, 117, 7, 1507, 3, 9])).
% 2.87/3.07 tff(5582,plain,
% 2.87/3.07 (b(s(z), s(s(s(z))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[564, 5581])).
% 2.87/3.07 tff(5583,plain,
% 2.87/3.07 ($false),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[4858, 213, 3771, 3, 1507, 856, 7, 8])).
% 2.87/3.07 tff(5584,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.07 tff(5585,plain,
% 2.87/3.07 (~b(s(s(s(z))), s(z))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5584, 5582, 3, 1507, 5430, 7])).
% 2.87/3.07 tff(5586,plain,
% 2.87/3.07 (r(s(s(s(z))), s(z))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[535, 5585])).
% 2.87/3.07 tff(5587,plain,
% 2.87/3.07 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[2366, 5582, 1507, 3])).
% 2.87/3.07 tff(5588,plain,
% 2.87/3.07 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[596, 5587])).
% 2.87/3.07 tff(5589,plain,
% 2.87/3.07 ((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z)))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[2658, 76, 5543, 5588, 9])).
% 2.87/3.07 tff(5590,plain,
% 2.87/3.07 (~r(s(s(s(z))), z)),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5589, 5586])).
% 2.87/3.07 tff(5591,plain,
% 2.87/3.07 (b(s(s(s(z))), z)),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[2303, 5590])).
% 2.87/3.07 tff(5592,plain,
% 2.87/3.07 (~b(z, s(s(s(z))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[1515, 5591, 7, 1507])).
% 2.87/3.07 tff(5593,plain,
% 2.87/3.07 (r(z, s(s(s(z))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[581, 5592])).
% 2.87/3.07 tff(5594,plain,
% 2.87/3.07 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5595,plain,
% 2.87/3.07 (((~![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(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.87/3.07 inference(monotonicity,[status(thm)],[5594])).
% 2.87/3.07 tff(5596,plain,
% 2.87/3.07 (((~![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(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.87/3.07 inference(transitivity,[status(thm)],[5595, 518])).
% 2.87/3.07 tff(5597,plain,
% 2.87/3.07 ((~![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(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))),
% 2.87/3.07 inference(quant_inst,[status(thm)],[])).
% 2.87/3.07 tff(5598,plain,
% 2.87/3.07 ((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.87/3.07 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 2.87/3.07 tff(5599,plain,
% 2.87/3.07 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5598, 76, 117, 16, 12])).
% 2.87/3.07 tff(5600,plain,
% 2.87/3.07 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[1871, 5599])).
% 2.87/3.07 tff(5601,plain,
% 2.87/3.07 (((~![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(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5602,plain,
% 2.87/3.07 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5603,plain,
% 2.87/3.07 (((~![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(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))))),
% 2.87/3.07 inference(monotonicity,[status(thm)],[5602])).
% 2.87/3.07 tff(5604,plain,
% 2.87/3.07 (((~![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(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 2.87/3.07 inference(transitivity,[status(thm)],[5603, 5601])).
% 2.87/3.07 tff(5605,plain,
% 2.87/3.07 ((~![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(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)))),
% 2.87/3.07 inference(quant_inst,[status(thm)],[])).
% 2.87/3.07 tff(5606,plain,
% 2.87/3.07 ((~![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(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))),
% 2.87/3.07 inference(modus_ponens,[status(thm)],[5605, 5604])).
% 2.87/3.07 tff(5607,plain,
% 2.87/3.07 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5606, 76, 16, 155, 691, 12])).
% 2.87/3.07 tff(5608,plain,
% 2.87/3.07 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[550, 110, 5607])).
% 2.87/3.07 tff(5609,plain,
% 2.87/3.07 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5608, 540])).
% 2.87/3.07 tff(5610,plain,
% 2.87/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5611,plain,
% 2.87/3.07 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5612,plain,
% 2.87/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 2.87/3.07 inference(monotonicity,[status(thm)],[5611])).
% 2.87/3.07 tff(5613,plain,
% 2.87/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.07 inference(transitivity,[status(thm)],[5612, 5610])).
% 2.87/3.07 tff(5614,plain,
% 2.87/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.07 inference(quant_inst,[status(thm)],[])).
% 2.87/3.07 tff(5615,plain,
% 2.87/3.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 2.87/3.07 inference(modus_ponens,[status(thm)],[5614, 5613])).
% 2.87/3.07 tff(5616,plain,
% 2.87/3.07 ($false),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5615, 213, 5015, 1016, 5609, 5600])).
% 2.87/3.07 tff(5617,plain,((~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.07 tff(5618,plain,
% 2.87/3.07 (~r(s(s(s(s(z)))), s(z))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[5617, 5593, 5014, 5586, 5448, 117, 5591])).
% 2.87/3.07 tff(5619,plain,
% 2.87/3.07 (b(s(s(s(s(z)))), s(z))),
% 2.87/3.07 inference(unit_resolution,[status(thm)],[115, 5618])).
% 2.87/3.07 tff(5620,plain,
% 2.87/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5621,plain,
% 2.87/3.07 (((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.07 inference(rewrite,[status(thm)],[])).
% 2.87/3.07 tff(5622,plain,
% 2.87/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.87/3.07 inference(monotonicity,[status(thm)],[5621])).
% 2.87/3.07 tff(5623,plain,
% 2.87/3.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.07 inference(transitivity,[status(thm)],[5622, 5620])).
% 2.87/3.08 tff(5624,plain,
% 2.87/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.87/3.08 inference(quant_inst,[status(thm)],[])).
% 2.87/3.08 tff(5625,plain,
% 2.87/3.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.87/3.08 inference(modus_ponens,[status(thm)],[5624, 5623])).
% 2.87/3.08 tff(5626,plain,
% 2.87/3.08 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 2.87/3.08 inference(unit_resolution,[status(thm)],[5625, 213, 5430, 5619, 1507, 7, 5591])).
% 2.87/3.08 tff(5627,plain,
% 2.87/3.08 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.87/3.08 inference(unit_resolution,[status(thm)],[5626, 468])).
% 2.87/3.08 tff(5628,plain,
% 2.87/3.08 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.87/3.08 inference(unit_resolution,[status(thm)],[1871, 5627])).
% 2.87/3.08 tff(5629,plain,
% 2.87/3.08 ($false),
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% 2.87/3.08 tff(5632,plain,
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% 2.87/3.08 tff(5641,plain,
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% 2.87/3.08 tff(5642,plain,
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% 2.87/3.08 tff(5645,plain,
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% 2.87/3.08 tff(5646,plain,
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% 2.87/3.08 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
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% 2.87/3.08 inference(monotonicity,[status(thm)],[5656])).
% 2.87/3.08 tff(5658,plain,
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% 2.87/3.08 tff(5659,plain,
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% 2.87/3.08 inference(quant_inst,[status(thm)],[])).
% 2.87/3.08 tff(5660,plain,
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% 2.87/3.08 inference(unit_resolution,[status(thm)],[5661, 706])).
% 2.87/3.08 tff(5663,plain,
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% 2.87/3.08 inference(monotonicity,[status(thm)],[5665])).
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% 2.87/3.08 tff(5670,plain,
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% 2.87/3.08 tff(5671,plain,
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% 2.87/3.08 tff(5672,plain,
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% 2.87/3.08 inference(rewrite,[status(thm)],[])).
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% 2.87/3.08 inference(monotonicity,[status(thm)],[5673])).
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% 2.87/3.08 inference(transitivity,[status(thm)],[5674, 5672])).
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% 2.87/3.08 tff(5678,plain,
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% 2.87/3.08 tff(5682,plain,
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% 2.87/3.08 inference(monotonicity,[status(thm)],[5685])).
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% 2.87/3.09 inference(monotonicity,[status(thm)],[5707])).
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% 2.87/3.09 inference(transitivity,[status(thm)],[5708, 5706])).
% 2.87/3.09 tff(5710,plain,
% 2.87/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.09 inference(quant_inst,[status(thm)],[])).
% 2.87/3.09 tff(5711,plain,
% 2.87/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 2.87/3.09 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 2.87/3.09 tff(5712,plain,
% 2.87/3.09 ($false),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[5711, 213, 5015, 5654, 1016, 5705, 2350])).
% 2.87/3.09 tff(5713,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.09 tff(5714,plain,
% 2.87/3.09 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
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% 2.87/3.09 tff(5715,plain,
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% 2.87/3.09 inference(unit_resolution,[status(thm)],[627, 5714])).
% 2.87/3.09 tff(5716,plain,
% 2.87/3.09 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[5644, 5642, 5014, 5591])).
% 2.87/3.09 tff(5717,plain,
% 2.87/3.09 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[2750, 5716])).
% 2.87/3.09 tff(5718,plain,
% 2.87/3.09 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[2366, 856, 1507, 3])).
% 2.87/3.09 tff(5719,plain,
% 2.87/3.09 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[596, 5718])).
% 2.87/3.09 tff(5720,plain,
% 2.87/3.09 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[1890, 76, 5719, 706, 9, 12])).
% 2.87/3.09 tff(5721,plain,
% 2.87/3.09 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[4243, 5720])).
% 2.87/3.09 tff(5722,plain,
% 2.87/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.09 inference(rewrite,[status(thm)],[])).
% 2.87/3.09 tff(5723,plain,
% 2.87/3.09 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.09 inference(rewrite,[status(thm)],[])).
% 2.87/3.09 tff(5724,plain,
% 2.87/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 2.87/3.09 inference(monotonicity,[status(thm)],[5723])).
% 2.87/3.09 tff(5725,plain,
% 2.87/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.09 inference(transitivity,[status(thm)],[5724, 5722])).
% 2.87/3.09 tff(5726,plain,
% 2.87/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.87/3.09 inference(quant_inst,[status(thm)],[])).
% 2.87/3.09 tff(5727,plain,
% 2.87/3.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 2.87/3.09 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 2.87/3.09 tff(5728,plain,
% 2.87/3.09 ((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[5727, 213, 3771, 284, 2812, 1016, 2350])).
% 2.87/3.09 tff(5729,plain,
% 2.87/3.09 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[5728, 5721])).
% 2.87/3.09 tff(5730,plain,
% 2.87/3.09 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[316, 5729])).
% 2.87/3.09 tff(5731,plain,
% 2.87/3.09 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[3681, 76, 706, 12, 2410])).
% 2.87/3.09 tff(5732,plain,
% 2.87/3.09 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[5731, 5730])).
% 2.87/3.09 tff(5733,plain,
% 2.87/3.09 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.87/3.09 inference(unit_resolution,[status(thm)],[653, 5732])).
% 2.87/3.09 tff(5734,plain,
% 2.87/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.09 inference(rewrite,[status(thm)],[])).
% 2.87/3.09 tff(5735,plain,
% 2.87/3.09 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.09 inference(rewrite,[status(thm)],[])).
% 2.87/3.09 tff(5736,plain,
% 2.87/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 2.87/3.09 inference(monotonicity,[status(thm)],[5735])).
% 2.87/3.09 tff(5737,plain,
% 2.87/3.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.87/3.10 inference(transitivity,[status(thm)],[5736, 5734])).
% 2.87/3.10 tff(5738,plain,
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% 2.87/3.10 tff(5763,plain,
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% 2.87/3.10 inference(unit_resolution,[status(thm)],[5764, 5743, 5582, 5591, 5588, 5430, 117, 5632, 9, 5619, 3, 7, 5715])).
% 2.87/3.10 tff(5766,plain,
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% 2.87/3.10 inference(rewrite,[status(thm)],[])).
% 2.87/3.10 tff(5767,plain,
% 2.87/3.10 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.87/3.10 inference(rewrite,[status(thm)],[])).
% 2.87/3.10 tff(5768,plain,
% 2.87/3.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.87/3.10 inference(monotonicity,[status(thm)],[5767])).
% 2.87/3.10 tff(5769,plain,
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% 2.87/3.10 inference(transitivity,[status(thm)],[5768, 5766])).
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% 2.87/3.10 inference(quant_inst,[status(thm)],[])).
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% 2.87/3.10 tff(5773,plain,
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% 2.87/3.10 tff(5774,plain,
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% 2.87/3.10 tff(5776,plain,
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% 2.87/3.10 tff(5786,plain,
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% 2.87/3.11 tff(5836,plain,
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% 2.87/3.11 tff(5837,plain,
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% 2.87/3.11 inference(unit_resolution,[status(thm)],[279, 5836])).
% 2.87/3.11 tff(5838,plain,
% 2.87/3.11 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.87/3.11 inference(rewrite,[status(thm)],[])).
% 2.87/3.11 tff(5839,plain,
% 2.87/3.11 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.87/3.11 inference(rewrite,[status(thm)],[])).
% 2.87/3.11 tff(5840,plain,
% 2.87/3.11 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 2.87/3.11 inference(monotonicity,[status(thm)],[5839])).
% 2.87/3.11 tff(5841,plain,
% 2.87/3.11 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.87/3.11 inference(transitivity,[status(thm)],[5840, 5838])).
% 2.87/3.11 tff(5842,plain,
% 2.87/3.11 ((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.87/3.11 inference(quant_inst,[status(thm)],[])).
% 2.87/3.11 tff(5843,plain,
% 2.87/3.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 2.87/3.11 inference(modus_ponens,[status(thm)],[5842, 5841])).
% 2.87/3.11 tff(5844,plain,
% 2.87/3.11 ($false),
% 2.87/3.11 inference(unit_resolution,[status(thm)],[5843, 76, 11, 690, 1027, 5837, 9])).
% 2.87/3.11 tff(5845,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.11 tff(5846,plain,
% 2.87/3.11 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.87/3.11 inference(unit_resolution,[status(thm)],[5845, 5826, 5805, 9, 3, 5818, 5793, 11])).
% 2.87/3.11 tff(5847,plain,
% 2.87/3.11 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.87/3.11 inference(unit_resolution,[status(thm)],[653, 5846])).
% 2.87/3.11 tff(5848,plain,
% 2.87/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.87/3.11 inference(rewrite,[status(thm)],[])).
% 2.87/3.11 tff(5849,plain,
% 2.87/3.11 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.87/3.11 inference(rewrite,[status(thm)],[])).
% 2.87/3.11 tff(5850,plain,
% 2.87/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 2.87/3.11 inference(monotonicity,[status(thm)],[5849])).
% 2.87/3.11 tff(5851,plain,
% 2.87/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.87/3.11 inference(transitivity,[status(thm)],[5850, 5848])).
% 2.87/3.11 tff(5852,plain,
% 2.87/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.87/3.11 inference(quant_inst,[status(thm)],[])).
% 2.87/3.11 tff(5853,plain,
% 2.87/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 2.87/3.11 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 2.87/3.11 tff(5854,plain,
% 2.87/3.11 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.87/3.11 inference(unit_resolution,[status(thm)],[5853, 213, 5430, 1507, 7, 5803, 2812])).
% 2.87/3.11 tff(5855,plain,
% 2.87/3.11 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.11 inference(unit_resolution,[status(thm)],[5854, 5847])).
% 2.87/3.11 tff(5856,plain,
% 2.87/3.11 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.11 inference(unit_resolution,[status(thm)],[436, 5855])).
% 2.87/3.11 tff(5857,plain,
% 2.87/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.87/3.11 inference(rewrite,[status(thm)],[])).
% 2.87/3.11 tff(5858,plain,
% 2.87/3.11 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.87/3.11 inference(rewrite,[status(thm)],[])).
% 2.87/3.11 tff(5859,plain,
% 2.87/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))))),
% 2.87/3.11 inference(monotonicity,[status(thm)],[5858])).
% 2.87/3.11 tff(5860,plain,
% 2.87/3.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 2.87/3.11 inference(transitivity,[status(thm)],[5859, 5857])).
% 2.87/3.11 tff(5861,plain,
% 2.87/3.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.12 inference(quant_inst,[status(thm)],[])).
% 2.87/3.12 tff(5862,plain,
% 2.87/3.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))),
% 2.87/3.12 inference(modus_ponens,[status(thm)],[5861, 5860])).
% 2.87/3.12 tff(5863,plain,
% 2.87/3.12 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[5862, 213, 5430, 1507, 7, 5803, 2812])).
% 2.87/3.12 tff(5864,plain,
% 2.87/3.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[5863, 5847])).
% 2.87/3.12 tff(5865,plain,
% 2.87/3.12 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[484, 5864])).
% 2.87/3.12 tff(5866,plain,
% 2.87/3.12 (((~![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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.87/3.12 inference(rewrite,[status(thm)],[])).
% 2.87/3.12 tff(5867,plain,
% 2.87/3.12 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.87/3.12 inference(rewrite,[status(thm)],[])).
% 2.87/3.12 tff(5868,plain,
% 2.87/3.12 (((~![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(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.87/3.12 inference(monotonicity,[status(thm)],[5867])).
% 2.87/3.12 tff(5869,plain,
% 2.87/3.12 (((~![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(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.87/3.12 inference(transitivity,[status(thm)],[5868, 5866])).
% 2.87/3.12 tff(5870,plain,
% 2.87/3.12 ((~![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(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.12 inference(quant_inst,[status(thm)],[])).
% 2.87/3.12 tff(5871,plain,
% 2.87/3.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.87/3.12 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 2.87/3.12 tff(5872,plain,
% 2.87/3.12 ($false),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[5871, 76, 11, 382, 705, 3645, 1556])).
% 2.87/3.12 tff(5873,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.12 tff(5874,plain,
% 2.87/3.12 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[5873, 5856, 5826, 11, 1556])).
% 2.87/3.12 tff(5875,plain,
% 2.87/3.12 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[4243, 5874])).
% 2.87/3.12 tff(5876,plain,
% 2.87/3.12 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[876, 5875, 5803, 5847])).
% 2.87/3.12 tff(5877,plain,
% 2.87/3.12 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[279, 5876])).
% 2.87/3.12 tff(5878,plain,
% 2.87/3.12 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.12 inference(rewrite,[status(thm)],[])).
% 2.87/3.12 tff(5879,plain,
% 2.87/3.12 (((~![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(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 2.87/3.12 inference(monotonicity,[status(thm)],[5878])).
% 2.87/3.12 tff(5880,plain,
% 2.87/3.12 (((~![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(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.87/3.12 inference(transitivity,[status(thm)],[5879, 3723])).
% 2.87/3.12 tff(5881,plain,
% 2.87/3.12 ((~![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(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.87/3.12 inference(quant_inst,[status(thm)],[])).
% 2.87/3.12 tff(5882,plain,
% 2.87/3.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 2.87/3.12 inference(modus_ponens,[status(thm)],[5881, 5880])).
% 2.87/3.12 tff(5883,plain,
% 2.87/3.12 ($false),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[5882, 76, 5877, 5865, 5856, 9])).
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% 2.87/3.12 tff(5885,plain,
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% 2.87/3.12 tff(5886,plain,
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% 2.87/3.12 tff(5887,plain,
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% 2.87/3.12 tff(5888,plain,
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% 2.87/3.12 tff(5889,plain,
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% 2.87/3.12 tff(5890,plain,
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% 2.87/3.12 tff(5891,plain,
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% 2.87/3.12 tff(5892,plain,
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% 2.87/3.12 tff(5893,plain,
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% 2.87/3.12 inference(rewrite,[status(thm)],[])).
% 2.87/3.12 tff(5895,plain,
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% 2.87/3.12 inference(monotonicity,[status(thm)],[5894])).
% 2.87/3.12 tff(5896,plain,
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% 2.87/3.12 inference(transitivity,[status(thm)],[5895, 5893])).
% 2.87/3.12 tff(5897,plain,
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% 2.87/3.12 tff(5898,plain,
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% 2.87/3.12 inference(modus_ponens,[status(thm)],[5897, 5896])).
% 2.87/3.12 tff(5899,plain,
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% 2.87/3.12 inference(unit_resolution,[status(thm)],[5898, 213, 1507, 868, 467, 867])).
% 2.87/3.12 tff(5900,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.12 tff(5901,plain,
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% 2.87/3.12 tff(5902,plain,
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% 2.87/3.12 tff(5903,plain,
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% 2.87/3.12 tff(5904,plain,
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% 2.87/3.12 tff(5905,plain,
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% 2.87/3.12 tff(5906,plain,
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% 2.87/3.12 tff(5907,plain,
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% 2.87/3.12 tff(5908,plain,
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% 2.87/3.12 tff(5909,plain,
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% 2.87/3.12 tff(5910,plain,
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% 2.87/3.12 tff(5911,plain,
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% 2.87/3.12 tff(5912,plain,
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% 2.87/3.12 tff(5913,plain,
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% 2.87/3.12 tff(5915,plain,
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% 2.87/3.12 tff(5916,plain,
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% 2.87/3.12 tff(5917,plain,
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% 2.87/3.12 tff(5918,plain,
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% 2.87/3.12 tff(5919,plain,
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% 2.87/3.12 tff(5920,plain,
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% 2.87/3.12 tff(5921,plain,
% 2.87/3.12 ($false),
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% 2.87/3.12 tff(5922,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.87/3.12 tff(5923,plain,
% 2.87/3.12 (~b(s(z), s(s(s(z))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[5922, 5916, 5448, 5801, 5777, 5787, 3, 1507, 5430, 7])).
% 2.87/3.12 tff(5924,plain,
% 2.87/3.12 (r(s(z), s(s(s(z))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[564, 5923])).
% 2.87/3.12 tff(5925,plain,
% 2.87/3.12 (~r(s(s(s(z))), s(z))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[4160, 5924, 7, 5543, 9, 11])).
% 2.87/3.12 tff(5926,plain,
% 2.87/3.12 (b(s(s(s(z))), s(z))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[535, 5925])).
% 2.87/3.12 tff(5927,plain,
% 2.87/3.12 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[2745, 5926, 5916, 5777])).
% 2.87/3.12 tff(5928,plain,
% 2.87/3.12 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.87/3.12 inference(unit_resolution,[status(thm)],[2750, 5927])).
% 2.87/3.12 tff(5929,plain,
% 2.87/3.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 2.87/3.12 inference(rewrite,[status(thm)],[])).
% 2.87/3.12 tff(5930,plain,
% 2.87/3.12 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(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(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 2.87/3.12 inference(rewrite,[status(thm)],[])).
% 2.87/3.12 tff(5931,plain,
% 2.87/3.12 (((~![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(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))))),
% 2.87/3.12 inference(monotonicity,[status(thm)],[5930])).
% 2.87/3.12 tff(5932,plain,
% 2.87/3.12 (((~![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(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 2.87/3.12 inference(transitivity,[status(thm)],[5931, 5929])).
% 2.87/3.12 tff(5933,plain,
% 2.87/3.12 ((~![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(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)))),
% 2.87/3.12 inference(quant_inst,[status(thm)],[])).
% 2.87/3.12 tff(5934,plain,
% 2.87/3.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))),
% 2.97/3.12 inference(modus_ponens,[status(thm)],[5933, 5932])).
% 2.97/3.12 tff(5935,plain,
% 2.97/3.12 ($false),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[5934, 76, 5543, 5787, 5448, 5924, 5928])).
% 2.97/3.12 tff(5936,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.12 tff(5937,plain,
% 2.97/3.12 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[5936, 3, 9, 7, 1507])).
% 2.97/3.12 tff(5938,plain,
% 2.97/3.12 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[596, 5937])).
% 2.97/3.12 tff(5939,plain,
% 2.97/3.12 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[3458, 5938, 1507, 5791])).
% 2.97/3.12 tff(5940,plain,
% 2.97/3.12 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[2750, 5939])).
% 2.97/3.12 tff(5941,plain,
% 2.97/3.12 (~b(s(z), s(s(s(z))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[2366, 5938, 1507, 3])).
% 2.97/3.12 tff(5942,plain,
% 2.97/3.12 (r(s(z), s(s(s(z))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[564, 5941])).
% 2.97/3.12 tff(5943,plain,
% 2.97/3.12 ($false),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[5934, 76, 5543, 5787, 5448, 5942, 5940])).
% 2.97/3.12 tff(5944,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.12 tff(5945,plain,
% 2.97/3.12 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[5944, 1507, 9, 7])).
% 2.97/3.12 tff(5946,plain,
% 2.97/3.12 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[450, 5945])).
% 2.97/3.12 tff(5947,plain,
% 2.97/3.12 (~r(s(s(s(s(z)))), s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[84, 5037, 9, 5946])).
% 2.97/3.12 tff(5948,plain,
% 2.97/3.12 (b(s(s(s(s(z)))), s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[115, 5947])).
% 2.97/3.12 tff(5949,plain,
% 2.97/3.12 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[5271, 117, 2, 9, 7])).
% 2.97/3.12 tff(5950,plain,
% 2.97/3.12 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[250, 5949])).
% 2.97/3.12 tff(5951,plain,
% 2.97/3.12 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[4214, 5950, 1507, 506])).
% 2.97/3.12 tff(5952,plain,
% 2.97/3.12 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[2750, 5951])).
% 2.97/3.12 tff(5953,plain,
% 2.97/3.12 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[5042, 5952, 7, 5950, 506])).
% 2.97/3.12 tff(5954,plain,
% 2.97/3.12 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[233, 5953])).
% 2.97/3.12 tff(5955,plain,
% 2.97/3.12 (~r(s(z), s(s(s(s(z)))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[199, 5432, 9, 5444])).
% 2.97/3.12 tff(5956,plain,
% 2.97/3.12 (b(s(z), s(s(s(s(z)))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[796, 5955])).
% 2.97/3.12 tff(5957,plain,
% 2.97/3.12 (~r(s(s(s(s(z)))), s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[84, 5432, 9, 5946])).
% 2.97/3.12 tff(5958,plain,
% 2.97/3.12 (b(s(s(s(s(z)))), s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[115, 5957])).
% 2.97/3.12 tff(5959,plain,
% 2.97/3.12 (~b(z, s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[1142, 5958, 191, 5956])).
% 2.97/3.12 tff(5960,plain,
% 2.97/3.12 (r(z, s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[370, 5959])).
% 2.97/3.12 tff(5961,plain,
% 2.97/3.12 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[1749, 5960, 9, 5946])).
% 2.97/3.12 tff(5962,plain,
% 2.97/3.12 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[233, 5961])).
% 2.97/3.12 tff(5963,plain,
% 2.97/3.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[4610, 5962, 1507, 7, 506])).
% 2.97/3.12 tff(5964,plain,
% 2.97/3.12 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[484, 5963])).
% 2.97/3.12 tff(5965,plain,
% 2.97/3.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[5177, 5964, 191, 5014, 5956, 5444, 5432])).
% 2.97/3.12 tff(5966,plain,
% 2.97/3.12 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.97/3.12 inference(unit_resolution,[status(thm)],[3226, 5964, 5946, 9])).
% 2.97/3.13 tff(5967,plain,
% 2.97/3.13 ($false),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[610, 5966, 5965])).
% 2.97/3.13 tff(5968,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.13 tff(5969,plain,
% 2.97/3.13 (~b(s(s(s(s(z)))), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[5968, 506, 1507, 7, 9])).
% 2.97/3.13 tff(5970,plain,
% 2.97/3.13 (r(s(s(s(s(z)))), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[170, 5969])).
% 2.97/3.13 tff(5971,plain,
% 2.97/3.13 (((~![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(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(5972,plain,
% 2.97/3.13 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(5973,plain,
% 2.97/3.13 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 2.97/3.13 inference(monotonicity,[status(thm)],[5972])).
% 2.97/3.13 tff(5974,plain,
% 2.97/3.13 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(transitivity,[status(thm)],[5973, 5971])).
% 2.97/3.13 tff(5975,plain,
% 2.97/3.13 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))))),
% 2.97/3.13 inference(quant_inst,[status(thm)],[])).
% 2.97/3.13 tff(5976,plain,
% 2.97/3.13 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 2.97/3.13 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 2.97/3.13 tff(5977,plain,
% 2.97/3.13 ($false),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[5976, 76, 2, 117, 5970, 5954, 9])).
% 2.97/3.13 tff(5978,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.13 tff(5979,plain,
% 2.97/3.13 (~r(s(z), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[5978, 2, 9, 7, 506, 1507])).
% 2.97/3.13 tff(5980,plain,
% 2.97/3.13 (b(s(z), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[796, 5979])).
% 2.97/3.13 tff(5981,plain,
% 2.97/3.13 (~b(z, s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[5187, 213, 5014, 5980, 284])).
% 2.97/3.13 tff(5982,plain,
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% 2.97/3.13 inference(unit_resolution,[status(thm)],[370, 5981])).
% 2.97/3.13 tff(5983,plain,
% 2.97/3.13 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[1749, 5982, 9, 5946])).
% 2.97/3.13 tff(5984,plain,
% 2.97/3.13 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[233, 5983])).
% 2.97/3.13 tff(5985,plain,
% 2.97/3.13 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[4610, 5984, 1507, 7, 506])).
% 2.97/3.13 tff(5986,plain,
% 2.97/3.13 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[484, 5985])).
% 2.97/3.13 tff(5987,plain,
% 2.97/3.13 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[3226, 5986, 5946, 9])).
% 2.97/3.13 tff(5988,plain,
% 2.97/3.13 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[610, 5987])).
% 2.97/3.13 tff(5989,plain,
% 2.97/3.13 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[1265, 213, 5980, 284, 5988])).
% 2.97/3.13 tff(5990,plain,
% 2.97/3.13 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[316, 5989])).
% 2.97/3.13 tff(5991,plain,
% 2.97/3.13 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[1283, 213, 5980, 284, 5988])).
% 2.97/3.13 tff(5992,plain,
% 2.97/3.13 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[338, 5991])).
% 2.97/3.13 tff(5993,plain,
% 2.97/3.13 (~b(s(s(s(z))), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[1949, 5984, 7, 506])).
% 2.97/3.13 tff(5994,plain,
% 2.97/3.13 (r(s(s(s(z))), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[2303, 5993])).
% 2.97/3.13 tff(5995,plain,
% 2.97/3.13 (~r(s(s(s(z))), s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[2775, 5994, 2, 5982])).
% 2.97/3.13 tff(5996,plain,
% 2.97/3.13 (b(s(s(s(z))), s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[535, 5995])).
% 2.97/3.13 tff(5997,plain,
% 2.97/3.13 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[3878, 5996, 5980, 284])).
% 2.97/3.13 tff(5998,plain,
% 2.97/3.13 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[2750, 5997])).
% 2.97/3.13 tff(5999,plain,
% 2.97/3.13 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[5042, 5998, 7, 5984, 506])).
% 2.97/3.13 tff(6000,plain,
% 2.97/3.13 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[250, 5999])).
% 2.97/3.13 tff(6001,plain,
% 2.97/3.13 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[965, 5990, 6000, 5992])).
% 2.97/3.13 tff(6002,plain,
% 2.97/3.13 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[436, 6001])).
% 2.97/3.13 tff(6003,plain,
% 2.97/3.13 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[2115, 6002, 506, 1507])).
% 2.97/3.13 tff(6004,plain,
% 2.97/3.13 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[653, 6003])).
% 2.97/3.13 tff(6005,plain,
% 2.97/3.13 ($false),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[5567, 76, 155, 691, 690, 705, 13])).
% 2.97/3.13 tff(6006,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.13 tff(6007,plain,
% 2.97/3.13 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6006, 6004, 5112, 5970, 5990])).
% 2.97/3.13 tff(6008,plain,
% 2.97/3.13 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[627, 6007])).
% 2.97/3.13 tff(6009,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(6010,plain,
% 2.97/3.13 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(6011,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.97/3.13 inference(monotonicity,[status(thm)],[6010])).
% 2.97/3.13 tff(6012,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.97/3.13 inference(transitivity,[status(thm)],[6011, 6009])).
% 2.97/3.13 tff(6013,plain,
% 2.97/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.97/3.13 inference(quant_inst,[status(thm)],[])).
% 2.97/3.13 tff(6014,plain,
% 2.97/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 2.97/3.13 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 2.97/3.13 tff(6015,plain,
% 2.97/3.13 ($false),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6014, 213, 7, 6002, 6008, 5984])).
% 2.97/3.13 tff(6016,plain,((~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.13 tff(6017,plain,
% 2.97/3.13 (~r(s(z), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6016, 284, 506, 1507, 7, 9])).
% 2.97/3.13 tff(6018,plain,
% 2.97/3.13 (b(s(z), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[3759, 6017])).
% 2.97/3.13 tff(6019,plain,
% 2.97/3.13 (~b(s(z), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[5785, 6018, 5014, 284])).
% 2.97/3.13 tff(6020,plain,
% 2.97/3.13 (r(s(z), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[796, 6019])).
% 2.97/3.13 tff(6021,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(6022,plain,
% 2.97/3.13 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(6023,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z)))))),
% 2.97/3.13 inference(monotonicity,[status(thm)],[6022])).
% 2.97/3.13 tff(6024,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))))),
% 2.97/3.13 inference(transitivity,[status(thm)],[6023, 6021])).
% 2.97/3.13 tff(6025,plain,
% 2.97/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 2.97/3.13 inference(quant_inst,[status(thm)],[])).
% 2.97/3.13 tff(6026,plain,
% 2.97/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z)))),
% 2.97/3.13 inference(modus_ponens,[status(thm)],[6025, 6024])).
% 2.97/3.13 tff(6027,plain,
% 2.97/3.13 ($false),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6026, 213, 3771, 1, 5015, 284])).
% 2.97/3.13 tff(6028,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.13 tff(6029,plain,
% 2.97/3.13 (~b(z, s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6028, 6018, 5014, 284])).
% 2.97/3.13 tff(6030,plain,
% 2.97/3.13 (r(z, s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[370, 6029])).
% 2.97/3.13 tff(6031,plain,
% 2.97/3.13 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[1749, 6030, 9, 5946])).
% 2.97/3.13 tff(6032,plain,
% 2.97/3.13 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[233, 6031])).
% 2.97/3.13 tff(6033,plain,
% 2.97/3.13 (~b(s(s(s(z))), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[1949, 6032, 7, 506])).
% 2.97/3.13 tff(6034,plain,
% 2.97/3.13 (r(s(s(s(z))), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[2303, 6033])).
% 2.97/3.13 tff(6035,plain,
% 2.97/3.13 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[3438, 76, 5970, 5112, 6034])).
% 2.97/3.13 tff(6036,plain,
% 2.97/3.13 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[2750, 6035])).
% 2.97/3.13 tff(6037,plain,
% 2.97/3.13 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[4214, 6036, 1507, 506])).
% 2.97/3.13 tff(6038,plain,
% 2.97/3.13 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[250, 6037])).
% 2.97/3.13 tff(6039,plain,
% 2.97/3.13 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[3458, 6036, 1507, 506])).
% 2.97/3.13 tff(6040,plain,
% 2.97/3.13 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[153, 6039])).
% 2.97/3.13 tff(6041,plain,
% 2.97/3.13 ($false),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[199, 6040, 6038, 9, 6020])).
% 2.97/3.13 tff(6042,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.13 tff(6043,plain,
% 2.97/3.13 (~b(s(s(s(s(z)))), s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6042, 506, 1507, 9, 7])).
% 2.97/3.13 tff(6044,plain,
% 2.97/3.13 (r(s(s(s(s(z)))), s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[115, 6043])).
% 2.97/3.13 tff(6045,plain,
% 2.97/3.13 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[84, 6044, 9, 5946])).
% 2.97/3.13 tff(6046,plain,
% 2.97/3.13 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[153, 6045])).
% 2.97/3.13 tff(6047,plain,
% 2.97/3.13 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[1553, 467, 1507, 203, 506])).
% 2.97/3.13 tff(6048,plain,
% 2.97/3.13 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[316, 6047])).
% 2.97/3.13 tff(6049,plain,
% 2.97/3.13 ($false),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6006, 4600, 5133, 5112, 155, 6048])).
% 2.97/3.13 tff(6050,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.13 tff(6051,plain,
% 2.97/3.13 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6050, 5970, 1507, 6046, 506, 7])).
% 2.97/3.13 tff(6052,plain,
% 2.97/3.13 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[484, 6051])).
% 2.97/3.13 tff(6053,plain,
% 2.97/3.13 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[3226, 6052, 5946, 9])).
% 2.97/3.13 tff(6054,plain,
% 2.97/3.13 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[610, 6053])).
% 2.97/3.13 tff(6055,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(6056,plain,
% 2.97/3.13 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(6057,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 2.97/3.13 inference(monotonicity,[status(thm)],[6056])).
% 2.97/3.13 tff(6058,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.13 inference(transitivity,[status(thm)],[6057, 6055])).
% 2.97/3.13 tff(6059,plain,
% 2.97/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))),
% 2.97/3.13 inference(quant_inst,[status(thm)],[])).
% 2.97/3.13 tff(6060,plain,
% 2.97/3.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 2.97/3.13 inference(modus_ponens,[status(thm)],[6059, 6058])).
% 2.97/3.13 tff(6061,plain,
% 2.97/3.13 ($false),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6060, 213, 5015, 506, 1507, 203, 202])).
% 2.97/3.13 tff(6062,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.13 tff(6063,plain,
% 2.97/3.13 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[6062, 506, 5014, 1507, 6046])).
% 2.97/3.13 tff(6064,plain,
% 2.97/3.13 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[233, 6063])).
% 2.97/3.13 tff(6065,plain,
% 2.97/3.13 (~r(z, s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[1749, 6064, 9, 5946])).
% 2.97/3.13 tff(6066,plain,
% 2.97/3.13 (b(z, s(z))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[370, 6065])).
% 2.97/3.13 tff(6067,plain,
% 2.97/3.13 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[3458, 6046, 1507, 506])).
% 2.97/3.13 tff(6068,plain,
% 2.97/3.13 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[2750, 6067])).
% 2.97/3.13 tff(6069,plain,
% 2.97/3.13 (~r(s(z), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[5249, 6068, 5112, 6044, 5970])).
% 2.97/3.13 tff(6070,plain,
% 2.97/3.13 (b(s(z), z)),
% 2.97/3.13 inference(unit_resolution,[status(thm)],[3759, 6069])).
% 2.97/3.13 tff(6071,plain,
% 2.97/3.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.97/3.13 inference(rewrite,[status(thm)],[])).
% 2.97/3.13 tff(6072,plain,
% 2.97/3.13 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(6073,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[6072])).
% 2.97/3.14 tff(6074,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.97/3.14 inference(transitivity,[status(thm)],[6073, 6071])).
% 2.97/3.14 tff(6075,plain,
% 2.97/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.97/3.14 inference(quant_inst,[status(thm)],[])).
% 2.97/3.14 tff(6076,plain,
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% 2.97/3.14 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 2.97/3.14 tff(6077,plain,
% 2.97/3.14 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[6076, 213, 6070, 6066, 6054])).
% 2.97/3.14 tff(6078,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[819, 6077])).
% 2.97/3.14 tff(6079,plain,
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% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(6080,plain,
% 2.97/3.14 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(6081,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[6080])).
% 2.97/3.14 tff(6082,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 2.97/3.14 inference(transitivity,[status(thm)],[6081, 6079])).
% 2.97/3.14 tff(6083,plain,
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% 2.97/3.14 inference(quant_inst,[status(thm)],[])).
% 2.97/3.14 tff(6084,plain,
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% 2.97/3.14 inference(modus_ponens,[status(thm)],[6083, 6082])).
% 2.97/3.14 tff(6085,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[6084, 213, 6070, 6066, 6054])).
% 2.97/3.14 tff(6086,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[627, 6085])).
% 2.97/3.14 tff(6087,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[5035, 6046, 7, 5014])).
% 2.97/3.14 tff(6088,plain,
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% 2.97/3.14 tff(6089,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[461, 6088, 5946, 6044])).
% 2.97/3.14 tff(6090,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[796, 6089])).
% 2.97/3.14 tff(6091,plain,
% 2.97/3.14 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
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% 2.97/3.14 tff(6092,plain,
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% 2.97/3.14 tff(6093,plain,
% 2.97/3.14 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 2.97/3.14 tff(6094,plain,
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% 2.97/3.14 tff(6095,plain,
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% 2.97/3.14 tff(6096,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[436, 6095])).
% 2.97/3.14 tff(6097,plain,
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% 2.97/3.14 tff(6098,plain,
% 2.97/3.14 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
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% 2.97/3.14 tff(6099,plain,
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% 2.97/3.14 inference(monotonicity,[status(thm)],[6098])).
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% 2.97/3.14 tff(6103,plain,
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% 2.97/3.14 tff(6111,plain,
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% 2.97/3.14 tff(6112,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[535, 6117])).
% 2.97/3.14 tff(6119,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(6120,plain,
% 2.97/3.14 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(6121,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[6120])).
% 2.97/3.14 tff(6122,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.97/3.14 inference(transitivity,[status(thm)],[6121, 6119])).
% 2.97/3.14 tff(6123,plain,
% 2.97/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.97/3.14 inference(quant_inst,[status(thm)],[])).
% 2.97/3.14 tff(6124,plain,
% 2.97/3.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.97/3.14 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 2.97/3.14 tff(6125,plain,
% 2.97/3.14 ($false),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[6124, 213, 5015, 782, 284, 7, 468])).
% 2.97/3.14 tff(6126,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.14 tff(6127,plain,
% 2.97/3.14 (~b(s(z), s(s(s(s(z)))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[6126, 5948, 5014, 7, 468])).
% 2.97/3.14 tff(6128,plain,
% 2.97/3.14 (r(s(z), s(s(s(s(z)))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[796, 6127])).
% 2.97/3.14 tff(6129,plain,
% 2.97/3.14 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[3797, 1027, 117, 6, 9])).
% 2.97/3.14 tff(6130,plain,
% 2.97/3.14 (b(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[1871, 6129])).
% 2.97/3.14 tff(6131,plain,
% 2.97/3.14 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[4006, 1027, 117, 9, 11])).
% 2.97/3.14 tff(6132,plain,
% 2.97/3.14 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[2750, 6131])).
% 2.97/3.14 tff(6133,plain,
% 2.97/3.14 ($false),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[5346, 6132, 6130, 1507, 468])).
% 2.97/3.14 tff(6134,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.14 tff(6135,plain,
% 2.97/3.14 (~r(s(z), s(s(s(z))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[6134, 6128, 468, 1507, 9, 6106, 5037])).
% 2.97/3.14 tff(6136,plain,
% 2.97/3.14 (b(s(z), s(s(s(z))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[564, 6135])).
% 2.97/3.14 tff(6137,plain,
% 2.97/3.14 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[3840, 6136, 6118, 5948])).
% 2.97/3.14 tff(6138,plain,
% 2.97/3.14 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[2750, 6137])).
% 2.97/3.14 tff(6139,plain,
% 2.97/3.14 (~r(z, s(s(s(z))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[5352, 6138, 6106, 5037, 6116])).
% 2.97/3.14 tff(6140,plain,
% 2.97/3.14 (b(z, s(s(s(z))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[581, 6139])).
% 2.97/3.14 tff(6141,plain,
% 2.97/3.14 (~b(s(s(s(z))), z)),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[1515, 6140, 7, 1507])).
% 2.97/3.14 tff(6142,plain,
% 2.97/3.14 (r(s(s(s(z))), z)),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[2303, 6141])).
% 2.97/3.14 tff(6143,plain,
% 2.97/3.14 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[5326, 6140, 1507, 5948, 5014, 468, 6136])).
% 2.97/3.14 tff(6144,plain,
% 2.97/3.14 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[233, 6143])).
% 2.97/3.14 tff(6145,plain,
% 2.97/3.14 (~r(z, s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[1749, 738, 9, 15])).
% 2.97/3.14 tff(6146,plain,
% 2.97/3.14 (b(z, s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[370, 6145])).
% 2.97/3.14 tff(6147,plain,
% 2.97/3.14 (~b(s(z), z)),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[6028, 6146, 5015, 284])).
% 2.97/3.14 tff(6148,plain,
% 2.97/3.14 (~r(s(z), z)),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[3139, 6146, 1065, 738, 8, 9, 2296])).
% 2.97/3.14 tff(6149,plain,
% 2.97/3.14 ($false),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[3759, 6148, 6147])).
% 2.97/3.14 tff(6150,plain,((~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.14 tff(6151,plain,
% 2.97/3.14 ($false),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[6150, 6144, 6142, 6118, 9, 6140, 5014, 5948, 5946])).
% 2.97/3.14 tff(6152,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.14 tff(6153,plain,
% 2.97/3.14 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[6152, 1507, 9, 7])).
% 2.97/3.14 tff(6154,plain,
% 2.97/3.14 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[250, 6153])).
% 2.97/3.14 tff(6155,plain,
% 2.97/3.14 (~r(s(s(s(s(z)))), s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[461, 117, 15, 5])).
% 2.97/3.14 tff(6156,plain,
% 2.97/3.14 (b(s(s(s(s(z)))), s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[115, 6155])).
% 2.97/3.14 tff(6157,plain,
% 2.97/3.14 (~r(s(z), z)),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[5271, 117, 5, 9, 7])).
% 2.97/3.14 tff(6158,plain,
% 2.97/3.14 (b(s(z), z)),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[3759, 6157])).
% 2.97/3.14 tff(6159,plain,
% 2.97/3.14 (~b(z, s(z))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[6028, 6158, 5014, 6156])).
% 2.97/3.14 tff(6160,plain,
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% 2.97/3.14 inference(unit_resolution,[status(thm)],[370, 6159])).
% 2.97/3.14 tff(6161,plain,
% 2.97/3.14 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[1749, 6160, 9, 15])).
% 2.97/3.14 tff(6162,plain,
% 2.97/3.14 (b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[233, 6161])).
% 2.97/3.14 tff(6163,plain,
% 2.97/3.14 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[199, 117, 9, 5])).
% 2.97/3.14 tff(6164,plain,
% 2.97/3.14 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.14 inference(unit_resolution,[status(thm)],[153, 6163])).
% 2.97/3.14 tff(6165,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(6166,plain,
% 2.97/3.14 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.97/3.14 inference(rewrite,[status(thm)],[])).
% 2.97/3.14 tff(6167,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 2.97/3.14 inference(monotonicity,[status(thm)],[6166])).
% 2.97/3.14 tff(6168,plain,
% 2.97/3.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 2.97/3.14 inference(transitivity,[status(thm)],[6167, 6165])).
% 2.97/3.14 tff(6169,plain,
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% 2.97/3.15 inference(quant_inst,[status(thm)],[])).
% 2.97/3.15 tff(6170,plain,
% 2.97/3.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 2.97/3.15 inference(modus_ponens,[status(thm)],[6169, 6168])).
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6170, 213, 5014, 7, 6164, 6162])).
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% 2.97/3.15 tff(6173,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6172, 5946, 9, 7, 6154])).
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[796, 6173])).
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[581, 6175])).
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[1515, 6176, 7, 1507])).
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[2303, 6177])).
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% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
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% 2.97/3.15 tff(6180,plain,
% 2.97/3.15 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(6181,plain,
% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.97/3.15 inference(monotonicity,[status(thm)],[6180])).
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% 2.97/3.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.97/3.15 inference(transitivity,[status(thm)],[6181, 6179])).
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% 2.97/3.15 inference(modus_ponens,[status(thm)],[6183, 6182])).
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6184, 213, 5015, 782, 8])).
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6185, 6176, 1])).
% 2.97/3.15 tff(6187,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[564, 6186])).
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% 2.97/3.15 tff(6202,plain,
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% 2.97/3.15 tff(6238,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6237, 1027, 9, 7])).
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% 2.97/3.15 tff(6241,plain,
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% 2.97/3.15 inference(rewrite,[status(thm)],[])).
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% 2.97/3.15 inference(monotonicity,[status(thm)],[6241])).
% 2.97/3.15 tff(6243,plain,
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% 2.97/3.15 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 2.97/3.15 tff(6246,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6245, 76, 117, 6, 1028, 1027, 9])).
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% 2.97/3.15 tff(6248,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6247, 6, 9, 6233, 1027])).
% 2.97/3.15 tff(6249,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[796, 6248])).
% 2.97/3.15 tff(6250,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[5785, 6249, 5014, 6239])).
% 2.97/3.15 tff(6251,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[115, 6250])).
% 2.97/3.15 tff(6252,plain,
% 2.97/3.15 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[3866, 6239, 7, 1])).
% 2.97/3.15 tff(6253,plain,
% 2.97/3.15 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[450, 6252])).
% 2.97/3.15 tff(6254,plain,
% 2.97/3.15 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[84, 6253, 9, 16])).
% 2.97/3.15 tff(6255,plain,
% 2.97/3.15 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[153, 6254])).
% 2.97/3.15 tff(6256,plain,
% 2.97/3.15 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[1659, 6253, 6233, 16, 1027])).
% 2.97/3.15 tff(6257,plain,
% 2.97/3.15 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[250, 6256])).
% 2.97/3.15 tff(6258,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[5035, 6257, 6255, 7, 5014])).
% 2.97/3.15 tff(6259,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.15 tff(6260,plain,
% 2.97/3.15 (~b(z, s(z))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[6259, 6251, 1027, 9, 7])).
% 2.97/3.15 tff(6261,plain,
% 2.97/3.15 (~b(s(s(s(s(z)))), z)),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[5446, 6239, 7, 9])).
% 2.97/3.15 tff(6262,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[170, 6261])).
% 2.97/3.15 tff(6263,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[5789, 6251, 6262, 6, 9])).
% 2.97/3.15 tff(6264,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[370, 6263, 6260])).
% 2.97/3.15 tff(6265,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.15 tff(6266,plain,
% 2.97/3.15 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[6265, 1027, 9, 7])).
% 2.97/3.15 tff(6267,plain,
% 2.97/3.15 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[153, 6266])).
% 2.97/3.15 tff(6268,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6170, 213, 5015, 7, 203, 202])).
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% 2.97/3.15 tff(6270,plain,
% 2.97/3.15 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[6269, 6267, 7, 5014])).
% 2.97/3.15 tff(6271,plain,
% 2.97/3.15 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[233, 6270])).
% 2.97/3.15 tff(6272,plain,
% 2.97/3.15 (~b(s(z), s(s(s(s(z)))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[5785, 284, 5014, 6239])).
% 2.97/3.15 tff(6273,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[796, 6272])).
% 2.97/3.15 tff(6274,plain,
% 2.97/3.15 (~r(s(z), s(s(s(z))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[6247, 5037, 9, 6233, 117])).
% 2.97/3.15 tff(6275,plain,
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% 2.97/3.15 tff(6276,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[199, 5432, 5444, 9, 117])).
% 2.97/3.15 tff(6277,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.15 tff(6278,plain,
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% 2.97/3.15 inference(unit_resolution,[status(thm)],[6277, 117, 9, 7])).
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% 2.97/3.15 (~b(z, s(s(s(s(s(s(s(z))))))))),
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% 2.97/3.15 tff(6281,plain,
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% 2.97/3.15 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(6284,plain,
% 2.97/3.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.97/3.15 inference(monotonicity,[status(thm)],[6283])).
% 2.97/3.15 tff(6285,plain,
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% 2.97/3.15 inference(transitivity,[status(thm)],[6284, 6282])).
% 2.97/3.15 tff(6286,plain,
% 2.97/3.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))),
% 2.97/3.15 inference(quant_inst,[status(thm)],[])).
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% 2.97/3.15 inference(modus_ponens,[status(thm)],[6286, 6285])).
% 2.97/3.15 tff(6288,plain,
% 2.97/3.15 ($false),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[6287, 76, 155, 6, 6281, 1028, 2410])).
% 2.97/3.15 tff(6289,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.15 tff(6290,plain,
% 2.97/3.15 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[6289, 506, 5037, 6233, 7, 468, 6279])).
% 2.97/3.15 tff(6291,plain,
% 2.97/3.15 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[2750, 6290])).
% 2.97/3.15 tff(6292,plain,
% 2.97/3.15 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[4642, 6291, 468, 506])).
% 2.97/3.15 tff(6293,plain,
% 2.97/3.15 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[1871, 6292])).
% 2.97/3.15 tff(6294,plain,
% 2.97/3.15 (~b(s(s(s(z))), s(z))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[3840, 6291, 6275, 284])).
% 2.97/3.15 tff(6295,plain,
% 2.97/3.15 (r(s(s(s(z))), s(z))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[535, 6294])).
% 2.97/3.15 tff(6296,plain,
% 2.97/3.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(6297,plain,
% 2.97/3.15 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(6298,plain,
% 2.97/3.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.97/3.15 inference(monotonicity,[status(thm)],[6297])).
% 2.97/3.15 tff(6299,plain,
% 2.97/3.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.97/3.15 inference(transitivity,[status(thm)],[6298, 6296])).
% 2.97/3.15 tff(6300,plain,
% 2.97/3.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))))),
% 2.97/3.15 inference(quant_inst,[status(thm)],[])).
% 2.97/3.15 tff(6301,plain,
% 2.97/3.15 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.97/3.15 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 2.97/3.15 tff(6302,plain,
% 2.97/3.15 ($false),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[6301, 76, 117, 155, 12, 2296, 1556])).
% 2.97/3.15 tff(6303,plain,((~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.15 tff(6304,plain,
% 2.97/3.15 (~r(s(s(s(z))), z)),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[6303, 6295, 6279, 117, 6293])).
% 2.97/3.15 tff(6305,plain,
% 2.97/3.15 (b(s(s(s(z))), z)),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[2303, 6304])).
% 2.97/3.15 tff(6306,plain,
% 2.97/3.15 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[1949, 6305, 7, 506])).
% 2.97/3.15 tff(6307,plain,
% 2.97/3.15 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[233, 6306])).
% 2.97/3.15 tff(6308,plain,
% 2.97/3.15 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[4642, 2305, 468, 506])).
% 2.97/3.15 tff(6309,plain,
% 2.97/3.15 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[1871, 6308])).
% 2.97/3.15 tff(6310,plain,
% 2.97/3.15 (~b(s(s(s(z))), s(z))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[3840, 2305, 856, 284])).
% 2.97/3.15 tff(6311,plain,
% 2.97/3.15 (r(s(s(s(z))), s(z))),
% 2.97/3.15 inference(unit_resolution,[status(thm)],[535, 6310])).
% 2.97/3.15 tff(6312,plain,
% 2.97/3.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(6313,plain,
% 2.97/3.15 (((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.97/3.15 inference(rewrite,[status(thm)],[])).
% 2.97/3.15 tff(6314,plain,
% 2.97/3.15 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, 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)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[6313])).
% 2.97/3.16 tff(6315,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, 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)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[6314, 6312])).
% 2.97/3.16 tff(6316,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(6317,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[6316, 6315])).
% 2.97/3.16 tff(6318,plain,
% 2.97/3.16 (~r(s(s(s(z))), z)),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6317, 76, 350, 155, 6311, 6309])).
% 2.97/3.16 tff(6319,plain,
% 2.97/3.16 (b(s(s(s(z))), z)),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[2303, 6318])).
% 2.97/3.16 tff(6320,plain,
% 2.97/3.16 (~b(z, s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[2797, 6319, 7, 506])).
% 2.97/3.16 tff(6321,plain,
% 2.97/3.16 (r(z, s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[581, 6320])).
% 2.97/3.16 tff(6322,plain,
% 2.97/3.16 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[1949, 6319, 7, 506])).
% 2.97/3.16 tff(6323,plain,
% 2.97/3.16 (r(z, s(s(s(s(s(s(s(z))))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[233, 6322])).
% 2.97/3.16 tff(6324,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(6325,plain,
% 2.97/3.16 (((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(6326,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[6325])).
% 2.97/3.16 tff(6327,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[6326, 6324])).
% 2.97/3.16 tff(6328,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(6329,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 2.97/3.16 tff(6330,plain,
% 2.97/3.16 ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6329, 76, 350, 1028, 6311])).
% 2.97/3.16 tff(6331,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6330, 6323, 6321])).
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% 2.97/3.16 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 2.97/3.16 tff(6405,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6404, 76, 117, 6233, 6398, 9, 6380])).
% 2.97/3.16 tff(6406,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(6407,plain,
% 2.97/3.16 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6406, 6273, 9, 284, 7])).
% 2.97/3.16 tff(6408,plain,
% 2.97/3.16 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[5035, 6267, 7, 5014])).
% 2.97/3.16 tff(6409,plain,
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% 2.97/3.16 inference(unit_resolution,[status(thm)],[250, 6408])).
% 2.97/3.16 tff(6410,plain,
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% 2.97/3.16 tff(6411,plain,
% 2.97/3.16 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(6412,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[6411])).
% 2.97/3.16 tff(6413,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[6412, 6410])).
% 2.97/3.16 tff(6414,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(6415,plain,
% 2.97/3.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))),
% 2.97/3.16 inference(modus_ponens,[status(thm)],[6414, 6413])).
% 2.97/3.16 tff(6416,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6415, 76, 117, 5, 1027, 9, 2410])).
% 2.97/3.16 tff(6417,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(6418,plain,
% 2.97/3.16 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6417, 6273, 1027, 9, 6409])).
% 2.97/3.16 tff(6419,plain,
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% 2.97/3.16 inference(unit_resolution,[status(thm)],[2750, 6418, 6407])).
% 2.97/3.16 tff(6420,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(6421,plain,
% 2.97/3.16 (~b(s(s(s(s(z)))), s(z))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6420, 1027, 9, 7])).
% 2.97/3.16 tff(6422,plain,
% 2.97/3.16 (r(s(s(s(s(z)))), s(z))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[115, 6421])).
% 2.97/3.16 tff(6423,plain,
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% 2.97/3.16 inference(unit_resolution,[status(thm)],[6259, 6422, 1027, 9, 7])).
% 2.97/3.16 tff(6424,plain,
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% 2.97/3.16 inference(unit_resolution,[status(thm)],[370, 6423])).
% 2.97/3.16 tff(6425,plain,
% 2.97/3.16 (~r(z, s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6376, 6424, 6271, 6233, 9])).
% 2.97/3.16 tff(6426,plain,
% 2.97/3.16 (b(z, s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[581, 6425])).
% 2.97/3.16 tff(6427,plain,
% 2.97/3.16 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[596, 6234])).
% 2.97/3.16 tff(6428,plain,
% 2.97/3.16 (~b(s(s(s(z))), z)),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[2797, 6426, 7, 6427])).
% 2.97/3.16 tff(6429,plain,
% 2.97/3.16 (r(s(s(s(z))), z)),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[2303, 6428])).
% 2.97/3.16 tff(6430,plain,
% 2.97/3.16 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[4731, 76, 6424, 6422, 6262, 6429])).
% 2.97/3.16 tff(6431,plain,
% 2.97/3.16 (b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[2750, 6430])).
% 2.97/3.16 tff(6432,plain,
% 2.97/3.16 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[5307, 6431, 5014, 6426])).
% 2.97/3.16 tff(6433,plain,
% 2.97/3.16 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[1871, 6432])).
% 2.97/3.16 tff(6434,plain,
% 2.97/3.16 ($false),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6404, 76, 117, 1028, 1027, 9, 1556])).
% 2.97/3.16 tff(6435,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.16 tff(6436,plain,
% 2.97/3.16 (~r(s(z), s(s(s(s(z)))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6435, 6433, 6233, 9, 1027])).
% 2.97/3.16 tff(6437,plain,
% 2.97/3.16 (b(s(z), s(s(s(s(z)))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[796, 6436])).
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% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
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% 2.97/3.16 tff(6439,plain,
% 2.97/3.16 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(6440,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 2.97/3.16 inference(monotonicity,[status(thm)],[6439])).
% 2.97/3.16 tff(6441,plain,
% 2.97/3.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.97/3.16 inference(transitivity,[status(thm)],[6440, 6438])).
% 2.97/3.16 tff(6442,plain,
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% 2.97/3.16 inference(quant_inst,[status(thm)],[])).
% 2.97/3.16 tff(6443,plain,
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% 2.97/3.16 inference(modus_ponens,[status(thm)],[6442, 6441])).
% 2.97/3.16 tff(6444,plain,
% 2.97/3.16 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
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% 2.97/3.16 tff(6445,plain,
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% 2.97/3.16 tff(6446,plain,
% 2.97/3.16 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[5812, 6445, 5014, 16, 350, 155, 706])).
% 2.97/3.16 tff(6447,plain,
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% 2.97/3.16 tff(6448,plain,
% 2.97/3.16 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[2820, 6447, 7, 6445])).
% 2.97/3.16 tff(6449,plain,
% 2.97/3.16 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6406, 117, 9, 284, 7])).
% 2.97/3.16 tff(6450,plain,
% 2.97/3.16 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[2750, 6449])).
% 2.97/3.16 tff(6451,plain,
% 2.97/3.16 (~r(s(z), s(s(s(z))))),
% 2.97/3.16 inference(unit_resolution,[status(thm)],[6417, 117, 6364, 9, 6450])).
% 2.97/3.16 tff(6452,plain,
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% 2.97/3.16 inference(unit_resolution,[status(thm)],[564, 6451])).
% 2.97/3.16 tff(6453,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(6454,plain,
% 2.97/3.16 (((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.97/3.16 inference(rewrite,[status(thm)],[])).
% 2.97/3.16 tff(6455,plain,
% 2.97/3.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[6454])).
% 2.97/3.17 tff(6456,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 2.97/3.17 inference(transitivity,[status(thm)],[6455, 6453])).
% 2.97/3.17 tff(6457,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(6458,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 2.97/3.17 inference(modus_ponens,[status(thm)],[6457, 6456])).
% 2.97/3.17 tff(6459,plain,
% 2.97/3.17 ($false),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[6458, 213, 3771, 1065, 856, 1016])).
% 2.97/3.17 tff(6460,plain,((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.17 tff(6461,plain,
% 2.97/3.17 (~b(s(s(s(z))), z)),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[6460, 6368, 6378, 6452])).
% 2.97/3.17 tff(6462,plain,
% 2.97/3.17 (r(s(s(s(z))), z)),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[2303, 6461])).
% 2.97/3.17 tff(6463,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(6464,plain,
% 2.97/3.17 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(6465,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[6464])).
% 2.97/3.17 tff(6466,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 2.97/3.17 inference(transitivity,[status(thm)],[6465, 6463])).
% 2.97/3.17 tff(6467,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(6468,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 2.97/3.17 inference(modus_ponens,[status(thm)],[6467, 6466])).
% 2.97/3.17 tff(6469,plain,
% 2.97/3.17 ($false),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[6468, 213, 3771, 1065, 856, 8])).
% 2.97/3.17 tff(6470,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.17 tff(6471,plain,
% 2.97/3.17 (~b(s(s(s(z))), s(z))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[6470, 6368, 6378, 6452])).
% 2.97/3.17 tff(6472,plain,
% 2.97/3.17 (r(s(s(s(z))), s(z))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[535, 6471])).
% 2.97/3.17 tff(6473,plain,
% 2.97/3.17 (~r(s(s(s(z))), z)),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[2658, 76, 350, 11, 9, 12])).
% 2.97/3.17 tff(6474,plain,
% 2.97/3.17 (b(s(s(s(z))), z)),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[2303, 6473])).
% 2.97/3.17 tff(6475,plain,
% 2.97/3.17 ($false),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[6458, 213, 3771, 1065, 6382, 6474])).
% 2.97/3.17 tff(6476,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.17 tff(6477,plain,
% 2.97/3.17 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[6476, 6472, 6378, 6374, 9, 6368, 6233])).
% 2.97/3.17 tff(6478,plain,
% 2.97/3.17 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[596, 6477])).
% 2.97/3.17 tff(6479,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(6480,plain,
% 2.97/3.17 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(6481,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[6480])).
% 2.97/3.17 tff(6482,plain,
% 2.97/3.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 2.97/3.17 inference(transitivity,[status(thm)],[6481, 6479])).
% 2.97/3.17 tff(6483,plain,
% 2.97/3.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(6484,plain,
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% 2.97/3.17 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 2.97/3.17 tff(6485,plain,
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% 2.97/3.17 tff(6494,plain,
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% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(6495,plain,
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% 2.97/3.17 inference(monotonicity,[status(thm)],[6494])).
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% 2.97/3.17 inference(transitivity,[status(thm)],[6495, 6493])).
% 2.97/3.17 tff(6497,plain,
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% 2.97/3.17 inference(quant_inst,[status(thm)],[])).
% 2.97/3.17 tff(6498,plain,
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% 2.97/3.17 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 2.97/3.17 tff(6499,plain,
% 2.97/3.17 ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
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% 2.97/3.17 tff(6500,plain,
% 2.97/3.17 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[6499, 6492])).
% 2.97/3.17 tff(6501,plain,
% 2.97/3.17 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[316, 6500])).
% 2.97/3.17 tff(6502,plain,
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% 2.97/3.17 tff(6503,plain,
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% 2.97/3.17 inference(unit_resolution,[status(thm)],[338, 6502])).
% 2.97/3.17 tff(6504,plain,
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% 2.97/3.17 inference(unit_resolution,[status(thm)],[1295, 6492, 7, 467])).
% 2.97/3.17 tff(6505,plain,
% 2.97/3.17 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[436, 6504])).
% 2.97/3.17 tff(6506,plain,
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% 2.97/3.17 inference(unit_resolution,[status(thm)],[965, 6505, 6503, 6364, 6501])).
% 2.97/3.17 tff(6507,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.17 tff(6508,plain,
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% 2.97/3.17 tff(6509,plain,
% 2.97/3.17 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.17 inference(unit_resolution,[status(thm)],[484, 6508])).
% 2.97/3.17 tff(6510,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(6511,plain,
% 2.97/3.17 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.97/3.17 inference(rewrite,[status(thm)],[])).
% 2.97/3.17 tff(6512,plain,
% 2.97/3.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(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(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.97/3.17 inference(monotonicity,[status(thm)],[6511])).
% 2.97/3.17 tff(6513,plain,
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% 2.97/3.17 inference(transitivity,[status(thm)],[6512, 6510])).
% 2.97/3.17 tff(6514,plain,
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% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
% 2.97/3.18 tff(6515,plain,
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% 2.97/3.18 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 2.97/3.18 tff(6516,plain,
% 2.97/3.18 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6515, 76, 6279, 6372, 6509])).
% 2.97/3.18 tff(6517,plain,
% 2.97/3.18 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6516, 6488])).
% 2.97/3.18 tff(6518,plain,
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% 2.97/3.18 tff(6538,plain,
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% 2.97/3.18 inference(monotonicity,[status(thm)],[6543])).
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% 2.97/3.18 inference(transitivity,[status(thm)],[6544, 6542])).
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% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
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% 2.97/3.18 tff(6548,plain,
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% 2.97/3.18 tff(6549,plain,
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% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(6552,plain,
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% 2.97/3.18 inference(rewrite,[status(thm)],[])).
% 2.97/3.18 tff(6553,plain,
% 2.97/3.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.97/3.18 inference(monotonicity,[status(thm)],[6552])).
% 2.97/3.18 tff(6554,plain,
% 2.97/3.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.97/3.18 inference(transitivity,[status(thm)],[6553, 6551])).
% 2.97/3.18 tff(6555,plain,
% 2.97/3.18 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.18 inference(quant_inst,[status(thm)],[])).
% 2.97/3.18 tff(6556,plain,
% 2.97/3.18 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.97/3.18 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 2.97/3.18 tff(6557,plain,
% 2.97/3.18 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6556, 76, 6364, 6525, 6450])).
% 2.97/3.18 tff(6558,plain,
% 2.97/3.18 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6557, 6541])).
% 2.97/3.18 tff(6559,plain,
% 2.97/3.18 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[316, 6558])).
% 2.97/3.18 tff(6560,plain,
% 2.97/3.18 ($false),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[5233, 6559, 6550, 5014, 6533])).
% 2.97/3.18 tff(6561,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.18 tff(6562,plain,
% 2.97/3.18 (~r(s(z), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6561, 284, 9, 7, 283])).
% 2.97/3.18 tff(6563,plain,
% 2.97/3.18 (b(s(z), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[796, 6562])).
% 2.97/3.18 tff(6564,plain,
% 2.97/3.18 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6126, 6563, 5014, 7, 284])).
% 2.97/3.18 tff(6565,plain,
% 2.97/3.18 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[250, 6564])).
% 2.97/3.18 tff(6566,plain,
% 2.97/3.18 (~b(z, s(z))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[5187, 213, 5014, 6563, 284])).
% 2.97/3.18 tff(6567,plain,
% 2.97/3.18 (r(z, s(z))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[370, 6566])).
% 2.97/3.18 tff(6568,plain,
% 2.97/3.18 (~b(s(z), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[5785, 6563, 5014, 284])).
% 2.97/3.18 tff(6569,plain,
% 2.97/3.18 (r(s(z), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[3759, 6568])).
% 2.97/3.18 tff(6570,plain,
% 2.97/3.18 (~r(s(z), s(s(s(z))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6237, 6569, 9, 7])).
% 2.97/3.18 tff(6571,plain,
% 2.97/3.18 (b(s(z), s(s(s(z))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[564, 6570])).
% 2.97/3.18 tff(6572,plain,
% 2.97/3.18 (~b(z, s(z))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[5187, 213, 5014, 782, 284])).
% 2.97/3.18 tff(6573,plain,
% 2.97/3.18 (r(z, s(z))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[370, 6572])).
% 2.97/3.18 tff(6574,plain,
% 2.97/3.18 (~b(s(z), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[5785, 782, 5014, 284])).
% 2.97/3.18 tff(6575,plain,
% 2.97/3.18 (r(s(z), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[3759, 6574])).
% 2.97/3.18 tff(6576,plain,
% 2.97/3.18 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6126, 782, 5014, 7, 284])).
% 2.97/3.18 tff(6577,plain,
% 2.97/3.18 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[250, 6576])).
% 2.97/3.18 tff(6578,plain,
% 2.97/3.18 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6269, 202, 7, 5014])).
% 2.97/3.18 tff(6579,plain,
% 2.97/3.18 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[153, 6578])).
% 2.97/3.18 tff(6580,plain,
% 2.97/3.18 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6390, 11, 9, 5015, 350, 5, 284, 1028])).
% 2.97/3.18 tff(6581,plain,
% 2.97/3.18 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[2684, 11, 1028, 6])).
% 2.97/3.18 tff(6582,plain,
% 2.97/3.18 ($false),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[2750, 6581, 6580])).
% 2.97/3.18 tff(6583,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.18 tff(6584,plain,
% 2.97/3.18 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6583, 6579, 6233, 9, 5014, 6573, 6577, 284])).
% 2.97/3.18 tff(6585,plain,
% 2.97/3.18 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[596, 6584])).
% 2.97/3.18 tff(6586,plain,
% 2.97/3.18 (~b(s(s(s(z))), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[1949, 6585, 7, 202])).
% 2.97/3.18 tff(6587,plain,
% 2.97/3.18 (r(s(s(s(z))), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[2303, 6586])).
% 2.97/3.18 tff(6588,plain,
% 2.97/3.18 (~r(s(s(s(z))), s(z))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[2775, 6587, 6575, 6573])).
% 2.97/3.18 tff(6589,plain,
% 2.97/3.18 (b(s(s(s(z))), s(z))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[535, 6588])).
% 2.97/3.18 tff(6590,plain,
% 2.97/3.18 (~r(s(z), s(s(s(z))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6237, 6575, 9, 7])).
% 2.97/3.18 tff(6591,plain,
% 2.97/3.18 (b(s(z), s(s(s(z))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[564, 6590])).
% 2.97/3.18 tff(6592,plain,
% 2.97/3.18 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[5378, 191, 856, 5015, 782])).
% 2.97/3.18 tff(6593,plain,
% 2.97/3.18 (r(s(s(s(z))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[1871, 6592])).
% 2.97/3.18 tff(6594,plain,
% 2.97/3.18 (~b(s(z), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[5785, 782, 5015, 284])).
% 2.97/3.18 tff(6595,plain,
% 2.97/3.18 (r(s(z), z)),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[3759, 6594])).
% 2.97/3.18 tff(6596,plain,
% 2.97/3.18 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[5279, 191, 7, 5015])).
% 2.97/3.18 tff(6597,plain,
% 2.97/3.18 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[153, 6596])).
% 2.97/3.18 tff(6598,plain,
% 2.97/3.18 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[6126, 782, 5015, 7, 284])).
% 2.97/3.18 tff(6599,plain,
% 2.97/3.18 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[250, 6598])).
% 2.97/3.18 tff(6600,plain,
% 2.97/3.18 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[2664, 6593, 6599, 6597])).
% 2.97/3.18 tff(6601,plain,
% 2.97/3.18 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.18 inference(unit_resolution,[status(thm)],[596, 6600])).
% 2.97/3.19 tff(6602,plain,
% 2.97/3.19 (~b(s(s(s(z))), z)),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[1949, 6601, 7, 202])).
% 2.97/3.19 tff(6603,plain,
% 2.97/3.19 (r(s(s(s(z))), z)),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[2303, 6602])).
% 2.97/3.19 tff(6604,plain,
% 2.97/3.19 (~r(s(s(s(z))), s(z))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[2775, 6603, 6595, 5189])).
% 2.97/3.19 tff(6605,plain,
% 2.97/3.19 (b(s(s(s(z))), s(z))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[535, 6604])).
% 2.97/3.19 tff(6606,plain,
% 2.97/3.19 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[3878, 6605, 284, 782])).
% 2.97/3.19 tff(6607,plain,
% 2.97/3.19 (r(s(s(s(s(z)))), s(s(s(z))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[2750, 6606])).
% 2.97/3.19 tff(6608,plain,
% 2.97/3.19 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(6609,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 2.97/3.19 inference(monotonicity,[status(thm)],[6608])).
% 2.97/3.19 tff(6610,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 2.97/3.19 inference(transitivity,[status(thm)],[6609, 3006])).
% 2.97/3.19 tff(6611,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(quant_inst,[status(thm)],[])).
% 2.97/3.19 tff(6612,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 2.97/3.19 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 2.97/3.19 tff(6613,plain,
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% 2.97/3.19 inference(rewrite,[status(thm)],[])).
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% 2.97/3.19 inference(rewrite,[status(thm)],[])).
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% 2.97/3.19 inference(monotonicity,[status(thm)],[6682])).
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% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(transitivity,[status(thm)],[6683, 6681])).
% 2.97/3.19 tff(6685,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 2.97/3.19 inference(quant_inst,[status(thm)],[])).
% 2.97/3.19 tff(6686,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.97/3.19 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 2.97/3.19 tff(6687,plain,
% 2.97/3.19 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[6686, 76, 16, 5, 706])).
% 2.97/3.19 tff(6688,plain,
% 2.97/3.19 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[6687, 705])).
% 2.97/3.19 tff(6689,plain,
% 2.97/3.19 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[484, 6688])).
% 2.97/3.19 tff(6690,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(6691,plain,
% 2.97/3.19 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(rewrite,[status(thm)],[])).
% 2.97/3.19 tff(6692,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 2.97/3.19 inference(monotonicity,[status(thm)],[6691])).
% 2.97/3.19 tff(6693,plain,
% 2.97/3.19 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 2.97/3.19 inference(transitivity,[status(thm)],[6692, 6690])).
% 2.97/3.19 tff(6694,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 2.97/3.19 inference(quant_inst,[status(thm)],[])).
% 2.97/3.19 tff(6695,plain,
% 2.97/3.19 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.97/3.19 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 2.97/3.19 tff(6696,plain,
% 2.97/3.19 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[6695, 76, 16, 706, 1556])).
% 2.97/3.19 tff(6697,plain,
% 2.97/3.19 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[6696, 705])).
% 2.97/3.19 tff(6698,plain,
% 2.97/3.19 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 2.97/3.19 inference(unit_resolution,[status(thm)],[653, 6697])).
% 2.97/3.19 tff(6699,plain,
% 2.97/3.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(6700,plain,
% 3.04/3.20 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(6701,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.04/3.20 inference(monotonicity,[status(thm)],[6700])).
% 3.04/3.20 tff(6702,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.20 inference(transitivity,[status(thm)],[6701, 6699])).
% 3.04/3.20 tff(6703,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.20 inference(quant_inst,[status(thm)],[])).
% 3.04/3.20 tff(6704,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.04/3.20 inference(modus_ponens,[status(thm)],[6703, 6702])).
% 3.04/3.20 tff(6705,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6704, 213, 3, 6698, 856, 203, 6689, 464, 2305])).
% 3.04/3.20 tff(6706,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(6707,plain,
% 3.04/3.20 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6706, 6674, 856, 203, 6680, 2305, 16, 6676, 6672, 5])).
% 3.04/3.20 tff(6708,plain,
% 3.04/3.20 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[316, 6707])).
% 3.04/3.20 tff(6709,plain,
% 3.04/3.20 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6269, 203, 7, 5015])).
% 3.04/3.20 tff(6710,plain,
% 3.04/3.20 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[233, 6709])).
% 3.04/3.20 tff(6711,plain,
% 3.04/3.20 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[5233, 6708, 5015, 6680])).
% 3.04/3.20 tff(6712,plain,
% 3.04/3.20 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[627, 6711])).
% 3.04/3.20 tff(6713,plain,
% 3.04/3.20 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2574, 6712, 2, 6710, 6676])).
% 3.04/3.20 tff(6714,plain,
% 3.04/3.20 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[484, 6713])).
% 3.04/3.20 tff(6715,plain,
% 3.04/3.20 (~b(s(s(s(z))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2700, 2305, 782, 856])).
% 3.04/3.20 tff(6716,plain,
% 3.04/3.20 (r(s(s(s(z))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[535, 6715])).
% 3.04/3.20 tff(6717,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2125, 76, 2, 16, 12, 2296, 1556])).
% 3.04/3.20 tff(6718,plain,((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(6719,plain,
% 3.04/3.20 (~r(s(s(s(z))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6718, 6716, 16, 2, 6672])).
% 3.04/3.20 tff(6720,plain,
% 3.04/3.20 (b(s(s(s(z))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2303, 6719])).
% 3.04/3.20 tff(6721,plain,
% 3.04/3.20 (~b(z, s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2797, 6720, 7, 506])).
% 3.04/3.20 tff(6722,plain,
% 3.04/3.20 (r(z, s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[581, 6721])).
% 3.04/3.20 tff(6723,plain,
% 3.04/3.20 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1395, 6712, 2, 6676, 6722])).
% 3.04/3.20 tff(6724,plain,
% 3.04/3.20 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[653, 6723])).
% 3.04/3.20 tff(6725,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(6726,plain,
% 3.04/3.20 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(6727,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))))),
% 3.04/3.20 inference(monotonicity,[status(thm)],[6726])).
% 3.04/3.20 tff(6728,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.20 inference(transitivity,[status(thm)],[6727, 6725])).
% 3.04/3.20 tff(6729,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.20 inference(quant_inst,[status(thm)],[])).
% 3.04/3.20 tff(6730,plain,
% 3.04/3.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))),
% 3.04/3.20 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 3.04/3.20 tff(6731,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6730, 213, 6674, 6724, 856, 203, 6714, 2305, 6708])).
% 3.04/3.20 tff(6732,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(6733,plain,
% 3.04/3.20 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6732, 506, 203, 2, 5014, 6634, 6668, 7, 6638, 283, 1, 6233, 6670])).
% 3.04/3.20 tff(6734,plain,
% 3.04/3.20 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2750, 6733])).
% 3.04/3.20 tff(6735,plain,
% 3.04/3.20 (~r(z, s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[5249, 6734, 6634, 2, 6636])).
% 3.04/3.20 tff(6736,plain,
% 3.04/3.20 (b(z, s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[581, 6735])).
% 3.04/3.20 tff(6737,plain,
% 3.04/3.20 (~b(s(s(s(z))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2797, 6736, 7, 506])).
% 3.04/3.20 tff(6738,plain,
% 3.04/3.20 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6269, 203, 7, 5014])).
% 3.04/3.20 tff(6739,plain,
% 3.04/3.20 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[233, 6738])).
% 3.04/3.20 tff(6740,plain,
% 3.04/3.20 (~r(s(s(s(z))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3633, 6734, 6634, 2, 6636])).
% 3.04/3.20 tff(6741,plain,
% 3.04/3.20 (b(s(s(s(z))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[535, 6740])).
% 3.04/3.20 tff(6742,plain,
% 3.04/3.20 (~r(s(s(s(z))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3139, 6741, 1, 2, 6739, 9, 6736])).
% 3.04/3.20 tff(6743,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2303, 6742, 6737])).
% 3.04/3.20 tff(6744,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(6745,plain,
% 3.04/3.20 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6744, 2, 1, 9, 7, 203, 283])).
% 3.04/3.20 tff(6746,plain,
% 3.04/3.20 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[596, 6745])).
% 3.04/3.20 tff(6747,plain,
% 3.04/3.20 (~r(z, s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3157, 6746, 6233, 6739])).
% 3.04/3.20 tff(6748,plain,
% 3.04/3.20 (b(z, s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[581, 6747])).
% 3.04/3.20 tff(6749,plain,
% 3.04/3.20 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2583, 6748, 1, 6739, 2, 6746, 6638, 7])).
% 3.04/3.20 tff(6750,plain,
% 3.04/3.20 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1504, 6748, 9, 6233, 1, 6746])).
% 3.04/3.20 tff(6751,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[450, 6750, 6749])).
% 3.04/3.20 tff(6752,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(6753,plain,
% 3.04/3.20 (~r(s(z), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6752, 203, 1, 7, 9, 283])).
% 3.04/3.20 tff(6754,plain,
% 3.04/3.20 (b(s(z), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3759, 6753])).
% 3.04/3.20 tff(6755,plain,
% 3.04/3.20 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3866, 6754, 7, 1])).
% 3.04/3.20 tff(6756,plain,
% 3.04/3.20 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[450, 6755])).
% 3.04/3.20 tff(6757,plain,
% 3.04/3.20 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6172, 6756, 9, 7, 6668])).
% 3.04/3.20 tff(6758,plain,
% 3.04/3.20 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[796, 6757])).
% 3.04/3.20 tff(6759,plain,
% 3.04/3.20 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1564, 6756, 6233, 6634, 6668])).
% 3.04/3.20 tff(6760,plain,
% 3.04/3.20 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1871, 6759])).
% 3.04/3.20 tff(6761,plain,
% 3.04/3.20 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2357, 6760, 6758, 6638])).
% 3.04/3.20 tff(6762,plain,
% 3.04/3.20 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2750, 6761])).
% 3.04/3.20 tff(6763,plain,
% 3.04/3.20 (~r(s(s(s(z))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4959, 6760, 6233, 6668, 6756])).
% 3.04/3.20 tff(6764,plain,
% 3.04/3.20 (b(s(s(s(z))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[535, 6763])).
% 3.04/3.20 tff(6765,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3954, 6764, 6762, 1, 6754, 6636])).
% 3.04/3.20 tff(6766,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(6767,plain,
% 3.04/3.20 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6766, 1, 9, 7, 283])).
% 3.04/3.20 tff(6768,plain,
% 3.04/3.20 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[153, 6767])).
% 3.04/3.20 tff(6769,plain,
% 3.04/3.20 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[84, 6768, 9, 6634])).
% 3.04/3.20 tff(6770,plain,
% 3.04/3.20 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[450, 6769])).
% 3.04/3.20 tff(6771,plain,
% 3.04/3.20 (~b(s(z), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3866, 6770, 7, 1])).
% 3.04/3.20 tff(6772,plain,
% 3.04/3.20 (r(s(z), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[3759, 6771])).
% 3.04/3.20 tff(6773,plain,
% 3.04/3.20 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[199, 6768, 9, 6668])).
% 3.04/3.20 tff(6774,plain,
% 3.04/3.20 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[796, 6773])).
% 3.04/3.20 tff(6775,plain,
% 3.04/3.20 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2412, 6768, 9, 6233, 6634])).
% 3.04/3.20 tff(6776,plain,
% 3.04/3.20 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2750, 6775])).
% 3.04/3.20 tff(6777,plain,
% 3.04/3.20 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2357, 6776, 6774, 6638])).
% 3.04/3.20 tff(6778,plain,
% 3.04/3.20 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1871, 6777])).
% 3.04/3.20 tff(6779,plain,
% 3.04/3.20 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2664, 6778, 6668, 6768])).
% 3.04/3.20 tff(6780,plain,
% 3.04/3.20 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[596, 6779])).
% 3.04/3.20 tff(6781,plain,
% 3.04/3.20 (~b(s(s(s(z))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2700, 6776, 6774, 6638])).
% 3.04/3.20 tff(6782,plain,
% 3.04/3.20 (r(s(s(s(z))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[535, 6781])).
% 3.04/3.20 tff(6783,plain,
% 3.04/3.20 (~r(s(s(s(z))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6718, 6772, 6634, 6782, 6778])).
% 3.04/3.20 tff(6784,plain,
% 3.04/3.20 (b(s(s(s(z))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2303, 6783])).
% 3.04/3.20 tff(6785,plain,
% 3.04/3.20 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1949, 6784, 7, 6780])).
% 3.04/3.20 tff(6786,plain,
% 3.04/3.20 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[233, 6785])).
% 3.04/3.20 tff(6787,plain,
% 3.04/3.20 (~r(s(s(s(s(z)))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1960, 6786, 6634, 6768, 6772])).
% 3.04/3.20 tff(6788,plain,
% 3.04/3.20 (b(s(s(s(s(z)))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[170, 6787])).
% 3.04/3.20 tff(6789,plain,
% 3.04/3.20 ($false),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[5129, 213, 1, 5014, 6774, 6788])).
% 3.04/3.20 tff(6790,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.20 tff(6791,plain,
% 3.04/3.20 (~b(z, s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6790, 283, 9, 7])).
% 3.04/3.20 tff(6792,plain,
% 3.04/3.20 (r(z, s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[370, 6791])).
% 3.04/3.20 tff(6793,plain,
% 3.04/3.20 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[5789, 6262, 6634, 6792, 9])).
% 3.04/3.20 tff(6794,plain,
% 3.04/3.20 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[153, 6793])).
% 3.04/3.20 tff(6795,plain,
% 3.04/3.20 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[5035, 6794, 7, 5014])).
% 3.04/3.20 tff(6796,plain,
% 3.04/3.20 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[250, 6795])).
% 3.04/3.20 tff(6797,plain,
% 3.04/3.20 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1659, 6796, 6233, 6634, 1027])).
% 3.04/3.20 tff(6798,plain,
% 3.04/3.20 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[450, 6797])).
% 3.04/3.20 tff(6799,plain,
% 3.04/3.20 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6269, 6794, 7, 5014])).
% 3.04/3.20 tff(6800,plain,
% 3.04/3.20 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[233, 6799])).
% 3.04/3.20 tff(6801,plain,
% 3.04/3.20 (~r(z, s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6376, 6800, 6792, 6233, 9])).
% 3.04/3.20 tff(6802,plain,
% 3.04/3.20 (b(z, s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[581, 6801])).
% 3.04/3.20 tff(6803,plain,
% 3.04/3.20 (~b(s(s(s(z))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2797, 6802, 7, 6427])).
% 3.04/3.20 tff(6804,plain,
% 3.04/3.20 (r(s(s(s(z))), z)),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2303, 6803])).
% 3.04/3.20 tff(6805,plain,
% 3.04/3.20 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[4731, 76, 6792, 6634, 6262, 6804])).
% 3.04/3.20 tff(6806,plain,
% 3.04/3.20 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[2750, 6805])).
% 3.04/3.20 tff(6807,plain,
% 3.04/3.20 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[5307, 6806, 5014, 6802])).
% 3.04/3.20 tff(6808,plain,
% 3.04/3.20 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[1871, 6807])).
% 3.04/3.20 tff(6809,plain,
% 3.04/3.20 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[6435, 1027, 6233, 9, 6808])).
% 3.04/3.20 tff(6810,plain,
% 3.04/3.20 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.20 inference(unit_resolution,[status(thm)],[796, 6809])).
% 3.04/3.20 tff(6811,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(6812,plain,
% 3.04/3.20 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.20 inference(rewrite,[status(thm)],[])).
% 3.04/3.20 tff(6813,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.04/3.20 inference(monotonicity,[status(thm)],[6812])).
% 3.04/3.20 tff(6814,plain,
% 3.04/3.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[6813, 6811])).
% 3.04/3.21 tff(6815,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(6816,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[6815, 6814])).
% 3.04/3.21 tff(6817,plain,
% 3.04/3.21 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6816, 213, 3771, 5015, 782, 281, 283])).
% 3.04/3.21 tff(6818,plain,
% 3.04/3.21 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[819, 6817])).
% 3.04/3.21 tff(6819,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6820,plain,
% 3.04/3.21 (((~b(s(z), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6821,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[6820])).
% 3.04/3.21 tff(6822,plain,
% 3.04/3.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[6821, 6819])).
% 3.04/3.21 tff(6823,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(6824,plain,
% 3.04/3.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 3.04/3.21 tff(6825,plain,
% 3.04/3.21 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6824, 213, 3771, 281, 3, 7, 283])).
% 3.04/3.21 tff(6826,plain,
% 3.04/3.21 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[436, 6825])).
% 3.04/3.21 tff(6827,plain,
% 3.04/3.21 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5148, 281, 283, 3])).
% 3.04/3.21 tff(6828,plain,
% 3.04/3.21 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[484, 6827])).
% 3.04/3.21 tff(6829,plain,
% 3.04/3.21 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6830,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[6829])).
% 3.04/3.21 tff(6831,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[6830, 6097])).
% 3.04/3.21 tff(6832,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(6833,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[6832, 6831])).
% 3.04/3.21 tff(6834,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6833, 76, 738, 6828, 6826, 6818])).
% 3.04/3.21 tff(6835,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(6836,plain,
% 3.04/3.21 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6835, 6800, 6239, 5014, 6810, 283, 6798, 7])).
% 3.04/3.21 tff(6837,plain,
% 3.04/3.21 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[610, 6836])).
% 3.04/3.21 tff(6838,plain,
% 3.04/3.21 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6443, 76, 6792, 6800, 6837, 9])).
% 3.04/3.21 tff(6839,plain,
% 3.04/3.21 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[819, 6838])).
% 3.04/3.21 tff(6840,plain,
% 3.04/3.21 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5812, 6839, 5014, 6634, 6792, 6262, 6837])).
% 3.04/3.21 tff(6841,plain,
% 3.04/3.21 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[627, 6840])).
% 3.04/3.21 tff(6842,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5537, 213, 6239, 6798, 7, 6841, 6839])).
% 3.04/3.21 tff(6843,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(6844,plain,
% 3.04/3.21 (~r(s(z), s(s(s(z))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6843, 283, 9, 7])).
% 3.04/3.21 tff(6845,plain,
% 3.04/3.21 (b(s(z), s(s(s(z))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[564, 6844])).
% 3.04/3.21 tff(6846,plain,
% 3.04/3.21 (~b(s(s(s(s(z)))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5446, 3771, 7, 9])).
% 3.04/3.21 tff(6847,plain,
% 3.04/3.21 (r(s(s(s(s(z)))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[170, 6846])).
% 3.04/3.21 tff(6848,plain,
% 3.04/3.21 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5789, 6847, 16, 350, 9])).
% 3.04/3.21 tff(6849,plain,
% 3.04/3.21 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[153, 6848])).
% 3.04/3.21 tff(6850,plain,
% 3.04/3.21 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6269, 6849, 7, 5014])).
% 3.04/3.21 tff(6851,plain,
% 3.04/3.21 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[233, 6850])).
% 3.04/3.21 tff(6852,plain,
% 3.04/3.21 (~r(z, s(s(s(z))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6376, 6851, 350, 6233, 9])).
% 3.04/3.21 tff(6853,plain,
% 3.04/3.21 (b(z, s(s(s(z))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[581, 6852])).
% 3.04/3.21 tff(6854,plain,
% 3.04/3.21 (~b(s(s(s(z))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6460, 6853, 3771, 856])).
% 3.04/3.21 tff(6855,plain,
% 3.04/3.21 (r(s(s(s(z))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2303, 6854])).
% 3.04/3.21 tff(6856,plain,
% 3.04/3.21 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4731, 76, 350, 16, 6847, 6855])).
% 3.04/3.21 tff(6857,plain,
% 3.04/3.21 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2750, 6856])).
% 3.04/3.21 tff(6858,plain,
% 3.04/3.21 (~b(s(s(s(z))), s(z))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6470, 6853, 856, 3771])).
% 3.04/3.21 tff(6859,plain,
% 3.04/3.21 (r(s(s(s(z))), s(z))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[535, 6858])).
% 3.04/3.21 tff(6860,plain,
% 3.04/3.21 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6317, 76, 350, 6847, 6859, 6855])).
% 3.04/3.21 tff(6861,plain,
% 3.04/3.21 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[1871, 6860])).
% 3.04/3.21 tff(6862,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5307, 6861, 6857, 5014, 6853])).
% 3.04/3.21 tff(6863,plain,((~b(s(z), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(6864,plain,
% 3.04/3.21 (~b(s(z), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6863, 6792, 6634, 6845, 9, 7])).
% 3.04/3.21 tff(6865,plain,
% 3.04/3.21 (r(s(z), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[3759, 6864])).
% 3.04/3.21 tff(6866,plain,
% 3.04/3.21 (~r(s(s(s(s(z)))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[3355, 6865, 6634, 6792])).
% 3.04/3.21 tff(6867,plain,
% 3.04/3.21 (b(s(s(s(s(z)))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[170, 6866])).
% 3.04/3.21 tff(6868,plain,
% 3.04/3.21 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5279, 6867, 7, 5014])).
% 3.04/3.21 tff(6869,plain,
% 3.04/3.21 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[153, 6868])).
% 3.04/3.21 tff(6870,plain,
% 3.04/3.21 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5023, 6867, 7, 5014])).
% 3.04/3.21 tff(6871,plain,
% 3.04/3.21 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[250, 6870])).
% 3.04/3.21 tff(6872,plain,
% 3.04/3.21 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6277, 6867, 9, 7])).
% 3.04/3.21 tff(6873,plain,
% 3.04/3.21 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[796, 6872])).
% 3.04/3.21 tff(6874,plain,
% 3.04/3.21 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5378, 6873, 6845, 5014, 6867])).
% 3.04/3.21 tff(6875,plain,
% 3.04/3.21 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[1871, 6874])).
% 3.04/3.21 tff(6876,plain,
% 3.04/3.21 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2664, 6875, 6871, 6869])).
% 3.04/3.21 tff(6877,plain,
% 3.04/3.21 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[596, 6876])).
% 3.04/3.21 tff(6878,plain,
% 3.04/3.21 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2412, 6869, 9, 6233, 6634])).
% 3.04/3.21 tff(6879,plain,
% 3.04/3.21 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2750, 6878])).
% 3.04/3.21 tff(6880,plain,
% 3.04/3.21 (~b(s(s(s(z))), s(z))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2700, 6879, 6845, 6873])).
% 3.04/3.21 tff(6881,plain,
% 3.04/3.21 (r(s(s(s(z))), s(z))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[535, 6880])).
% 3.04/3.21 tff(6882,plain,
% 3.04/3.21 (~r(s(s(s(z))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6718, 6881, 6634, 6865, 6875])).
% 3.04/3.21 tff(6883,plain,
% 3.04/3.21 (b(s(s(s(z))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2303, 6882])).
% 3.04/3.21 tff(6884,plain,
% 3.04/3.21 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[3561, 6877, 6792, 9, 6865, 7, 6881])).
% 3.04/3.21 tff(6885,plain,
% 3.04/3.21 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[233, 6884])).
% 3.04/3.21 tff(6886,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[1949, 6885, 6883, 7, 6877])).
% 3.04/3.21 tff(6887,plain,((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(6888,plain,
% 3.04/3.21 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6887, 9, 7])).
% 3.04/3.21 tff(6889,plain,
% 3.04/3.21 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[279, 6888])).
% 3.04/3.21 tff(6890,plain,
% 3.04/3.21 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2558, 706, 6889, 16])).
% 3.04/3.21 tff(6891,plain,
% 3.04/3.21 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[338, 6890])).
% 3.04/3.21 tff(6892,plain,
% 3.04/3.21 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5489, 6445, 5014, 6891])).
% 3.04/3.21 tff(6893,plain,
% 3.04/3.21 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[316, 6892])).
% 3.04/3.21 tff(6894,plain,
% 3.04/3.21 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6687, 6893])).
% 3.04/3.21 tff(6895,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[484, 6894, 6448])).
% 3.04/3.21 tff(6896,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(6897,plain,
% 3.04/3.21 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6896, 6422, 6409, 7, 6424, 6262, 6271, 9])).
% 3.04/3.21 tff(6898,plain,
% 3.04/3.21 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[610, 6897])).
% 3.04/3.21 tff(6899,plain,
% 3.04/3.21 (~b(s(s(s(z))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2797, 1065, 7, 506])).
% 3.04/3.21 tff(6900,plain,
% 3.04/3.21 (r(s(s(s(z))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2303, 6899])).
% 3.04/3.21 tff(6901,plain,
% 3.04/3.21 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[2443, 717, 16, 155, 782, 281])).
% 3.04/3.21 tff(6902,plain,
% 3.04/3.21 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[627, 6901])).
% 3.04/3.21 tff(6903,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[5824, 213, 3771, 782, 281, 7, 203, 6902, 717])).
% 3.04/3.21 tff(6904,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(6905,plain,
% 3.04/3.21 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6904, 281, 782, 3771, 7, 203, 16, 155])).
% 3.04/3.21 tff(6906,plain,
% 3.04/3.21 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[316, 6905])).
% 3.04/3.21 tff(6907,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6908,plain,
% 3.04/3.21 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6909,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[6908])).
% 3.04/3.21 tff(6910,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[6909, 6907])).
% 3.04/3.21 tff(6911,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(6912,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[6911, 6910])).
% 3.04/3.21 tff(6913,plain,
% 3.04/3.21 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6912, 76, 155, 6906, 6900, 1556])).
% 3.04/3.21 tff(6914,plain,
% 3.04/3.21 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[4243, 6913])).
% 3.04/3.21 tff(6915,plain,
% 3.04/3.21 ($false),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[1704, 213, 782, 506, 281, 203, 467, 8, 867])).
% 3.04/3.21 tff(6916,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.21 tff(6917,plain,
% 3.04/3.21 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6916, 281, 506, 782, 203, 8, 6914])).
% 3.04/3.21 tff(6918,plain,
% 3.04/3.21 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[484, 6917])).
% 3.04/3.21 tff(6919,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6920,plain,
% 3.04/3.21 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6921,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.04/3.21 inference(monotonicity,[status(thm)],[6920])).
% 3.04/3.21 tff(6922,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(transitivity,[status(thm)],[6921, 6919])).
% 3.04/3.21 tff(6923,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.04/3.21 inference(quant_inst,[status(thm)],[])).
% 3.04/3.21 tff(6924,plain,
% 3.04/3.21 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.04/3.21 inference(modus_ponens,[status(thm)],[6923, 6922])).
% 3.04/3.21 tff(6925,plain,
% 3.04/3.21 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6924, 76, 738, 5, 6906])).
% 3.04/3.21 tff(6926,plain,
% 3.04/3.21 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[6925, 6918])).
% 3.04/3.21 tff(6927,plain,
% 3.04/3.21 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.21 inference(unit_resolution,[status(thm)],[627, 6926])).
% 3.04/3.21 tff(6928,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6929,plain,
% 3.04/3.21 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.21 inference(rewrite,[status(thm)],[])).
% 3.04/3.21 tff(6930,plain,
% 3.04/3.21 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[6929])).
% 3.04/3.22 tff(6931,plain,
% 3.04/3.22 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[6930, 6928])).
% 3.04/3.22 tff(6932,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(6933,plain,
% 3.04/3.22 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 3.04/3.22 tff(6934,plain,
% 3.04/3.22 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6933, 76, 1028, 6906, 1556])).
% 3.04/3.22 tff(6935,plain,
% 3.04/3.22 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6934, 6918])).
% 3.04/3.22 tff(6936,plain,
% 3.04/3.22 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[653, 6935])).
% 3.04/3.22 tff(6937,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(6938,plain,
% 3.04/3.22 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(6939,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[6938])).
% 3.04/3.22 tff(6940,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[6939, 6937])).
% 3.04/3.22 tff(6941,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(6942,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 3.04/3.22 tff(6943,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6942, 213, 1065, 6936, 6927, 6914])).
% 3.04/3.22 tff(6944,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(6945,plain,
% 3.04/3.22 (~b(s(s(s(z))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6944, 6898, 6233, 6433, 6271, 6409, 6427, 6437, 6267, 6426, 6262, 6239, 7, 6422])).
% 3.04/3.22 tff(6946,plain,
% 3.04/3.22 (r(s(s(s(z))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[535, 6945])).
% 3.04/3.22 tff(6947,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6317, 76, 6424, 6262, 6946, 6429, 6433])).
% 3.04/3.22 tff(6948,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(6949,plain,
% 3.04/3.22 (~r(s(z), s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6948, 9, 7])).
% 3.04/3.22 tff(6950,plain,
% 3.04/3.22 (b(s(z), s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[564, 6949])).
% 3.04/3.22 tff(6951,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[250, 3800, 6363])).
% 3.04/3.22 tff(6952,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(6953,plain,
% 3.04/3.22 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6952, 284, 6, 9, 7])).
% 3.04/3.22 tff(6954,plain,
% 3.04/3.22 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[796, 6953])).
% 3.04/3.22 tff(6955,plain,
% 3.04/3.22 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6622, 6954, 284, 7, 9])).
% 3.04/3.22 tff(6956,plain,
% 3.04/3.22 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[233, 6955])).
% 3.04/3.22 tff(6957,plain,
% 3.04/3.22 (~b(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5187, 213, 5014, 6954, 284])).
% 3.04/3.22 tff(6958,plain,
% 3.04/3.22 (r(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[370, 6957])).
% 3.04/3.22 tff(6959,plain,
% 3.04/3.22 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[3573, 6958, 2, 9, 6956, 7, 6950])).
% 3.04/3.22 tff(6960,plain,
% 3.04/3.22 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6126, 6954, 5014, 7, 284])).
% 3.04/3.22 tff(6961,plain,
% 3.04/3.22 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[250, 6960])).
% 3.04/3.22 tff(6962,plain,
% 3.04/3.22 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6583, 6958, 6233, 9, 5014, 284, 6961, 6])).
% 3.04/3.22 tff(6963,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[596, 6962, 6959])).
% 3.04/3.22 tff(6964,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(6965,plain,
% 3.04/3.22 (~b(s(s(s(s(z)))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6964, 6, 9, 2, 7])).
% 3.04/3.22 tff(6966,plain,
% 3.04/3.22 (r(s(s(s(s(z)))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[115, 6965])).
% 3.04/3.22 tff(6967,plain,
% 3.04/3.22 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[84, 6966, 9, 6])).
% 3.04/3.22 tff(6968,plain,
% 3.04/3.22 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[450, 6967])).
% 3.04/3.22 tff(6969,plain,
% 3.04/3.22 (~r(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[3355, 5025, 2, 6966])).
% 3.04/3.22 tff(6970,plain,
% 3.04/3.22 (b(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[370, 6969])).
% 3.04/3.22 tff(6971,plain,
% 3.04/3.22 (~b(s(s(s(z))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[864, 6970, 6968, 6950, 7])).
% 3.04/3.22 tff(6972,plain,
% 3.04/3.22 (r(s(s(s(z))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[535, 6971])).
% 3.04/3.22 tff(6973,plain,
% 3.04/3.22 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2412, 6966, 9, 6233, 6])).
% 3.04/3.22 tff(6974,plain,
% 3.04/3.22 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2750, 6973])).
% 3.04/3.22 tff(6975,plain,
% 3.04/3.22 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1960, 5025, 2, 6, 6966])).
% 3.04/3.22 tff(6976,plain,
% 3.04/3.22 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[233, 6975])).
% 3.04/3.22 tff(6977,plain,
% 3.04/3.22 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4472, 117, 6889, 6, 9])).
% 3.04/3.22 tff(6978,plain,
% 3.04/3.22 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[436, 6977])).
% 3.04/3.22 tff(6979,plain,
% 3.04/3.22 (~b(s(s(s(s(z)))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5023, 468, 7, 5015])).
% 3.04/3.22 tff(6980,plain,
% 3.04/3.22 (r(s(s(s(s(z)))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[170, 6979])).
% 3.04/3.22 tff(6981,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(6982,plain,
% 3.04/3.22 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(6983,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[6982])).
% 3.04/3.22 tff(6984,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[6983, 6981])).
% 3.04/3.22 tff(6985,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(6986,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[6985, 6984])).
% 3.04/3.22 tff(6987,plain,
% 3.04/3.22 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6986, 213, 281, 3, 7, 831, 202])).
% 3.04/3.22 tff(6988,plain,
% 3.04/3.22 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[627, 6987])).
% 3.04/3.22 tff(6989,plain,
% 3.04/3.22 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1442, 6988, 252, 6980, 16])).
% 3.04/3.22 tff(6990,plain,
% 3.04/3.22 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[338, 6989])).
% 3.04/3.22 tff(6991,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(6992,plain,
% 3.04/3.22 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.22 inference(rewrite,[status(thm)],[])).
% 3.04/3.22 tff(6993,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.22 inference(monotonicity,[status(thm)],[6992])).
% 3.04/3.22 tff(6994,plain,
% 3.04/3.22 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.22 inference(transitivity,[status(thm)],[6993, 6991])).
% 3.04/3.22 tff(6995,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.22 inference(quant_inst,[status(thm)],[])).
% 3.04/3.22 tff(6996,plain,
% 3.04/3.22 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.22 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 3.04/3.22 tff(6997,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6996, 213, 1, 5015, 281, 3, 7, 468, 6990])).
% 3.04/3.22 tff(6998,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(6999,plain,
% 3.04/3.22 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6998, 6978, 5014, 6968, 7, 468, 6889, 6966, 6970, 6976])).
% 3.04/3.22 tff(7000,plain,
% 3.04/3.22 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[610, 6999])).
% 3.04/3.22 tff(7001,plain,
% 3.04/3.22 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6656, 7000, 6966, 6972, 9, 468, 7, 2])).
% 3.04/3.22 tff(7002,plain,
% 3.04/3.22 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[596, 7001])).
% 3.04/3.22 tff(7003,plain,
% 3.04/3.22 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[4642, 7002, 468, 6974])).
% 3.04/3.22 tff(7004,plain,
% 3.04/3.22 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1871, 7003])).
% 3.04/3.22 tff(7005,plain,
% 3.04/3.22 (~b(s(s(s(z))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1949, 7002, 7, 6976])).
% 3.04/3.22 tff(7006,plain,
% 3.04/3.22 (r(s(s(s(z))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2303, 7005])).
% 3.04/3.22 tff(7007,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6303, 7006, 7004, 5025, 6972, 117])).
% 3.04/3.22 tff(7008,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(7009,plain,
% 3.04/3.22 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[7008, 468, 7, 9, 2, 6])).
% 3.04/3.22 tff(7010,plain,
% 3.04/3.22 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[796, 7009])).
% 3.04/3.22 tff(7011,plain,
% 3.04/3.22 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2357, 7010, 6974, 6950])).
% 3.04/3.22 tff(7012,plain,
% 3.04/3.22 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1871, 7011])).
% 3.04/3.22 tff(7013,plain,
% 3.04/3.22 (~r(s(s(s(z))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6718, 7012, 2, 6966, 6972])).
% 3.04/3.22 tff(7014,plain,
% 3.04/3.22 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2670, 7010, 468, 7, 9, 2, 6, 6972])).
% 3.04/3.22 tff(7015,plain,
% 3.04/3.22 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[596, 7014])).
% 3.04/3.22 tff(7016,plain,
% 3.04/3.22 (~b(s(s(s(z))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1949, 7015, 7, 6976])).
% 3.04/3.22 tff(7017,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2303, 7016, 7013])).
% 3.04/3.22 tff(7018,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(7019,plain,
% 3.04/3.22 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[7018, 6, 2, 9, 7])).
% 3.04/3.22 tff(7020,plain,
% 3.04/3.22 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[250, 7019])).
% 3.04/3.22 tff(7021,plain,
% 3.04/3.22 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5271, 7020, 2, 9, 7])).
% 3.04/3.22 tff(7022,plain,
% 3.04/3.22 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[796, 7021])).
% 3.04/3.22 tff(7023,plain,
% 3.04/3.22 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2357, 7022, 6974, 6950])).
% 3.04/3.22 tff(7024,plain,
% 3.04/3.22 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1871, 7023])).
% 3.04/3.22 tff(7025,plain,
% 3.04/3.22 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2664, 7024, 7020, 6])).
% 3.04/3.22 tff(7026,plain,
% 3.04/3.22 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[596, 7025])).
% 3.04/3.22 tff(7027,plain,
% 3.04/3.22 (~b(s(s(s(z))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2700, 7022, 6950, 6974])).
% 3.04/3.22 tff(7028,plain,
% 3.04/3.22 (r(s(s(s(z))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[535, 7027])).
% 3.04/3.22 tff(7029,plain,
% 3.04/3.22 (~r(s(s(s(z))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6718, 7024, 2, 6966, 7028])).
% 3.04/3.22 tff(7030,plain,
% 3.04/3.22 (b(s(s(s(z))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2303, 7029])).
% 3.04/3.22 tff(7031,plain,
% 3.04/3.22 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1949, 7030, 7, 7026])).
% 3.04/3.22 tff(7032,plain,
% 3.04/3.22 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[233, 7031])).
% 3.04/3.22 tff(7033,plain,
% 3.04/3.22 (~r(s(s(s(s(z)))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1960, 7032, 2, 6, 6966])).
% 3.04/3.22 tff(7034,plain,
% 3.04/3.22 (b(s(s(s(s(z)))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[170, 7033])).
% 3.04/3.22 tff(7035,plain,
% 3.04/3.22 (~b(z, s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2797, 7030, 7, 7026])).
% 3.04/3.22 tff(7036,plain,
% 3.04/3.22 (r(z, s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[581, 7035])).
% 3.04/3.22 tff(7037,plain,
% 3.04/3.22 (~r(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6376, 7036, 7032, 6233, 9])).
% 3.04/3.22 tff(7038,plain,
% 3.04/3.22 (b(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[370, 7037])).
% 3.04/3.22 tff(7039,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5129, 213, 7038, 5014, 7022, 7034])).
% 3.04/3.22 tff(7040,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(7041,plain,
% 3.04/3.22 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[7040, 2, 9, 7])).
% 3.04/3.22 tff(7042,plain,
% 3.04/3.22 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[153, 7041])).
% 3.04/3.22 tff(7043,plain,
% 3.04/3.22 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5035, 7042, 7, 5014])).
% 3.04/3.22 tff(7044,plain,
% 3.04/3.22 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[250, 7043])).
% 3.04/3.22 tff(7045,plain,
% 3.04/3.22 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5271, 7044, 2, 9, 7])).
% 3.04/3.22 tff(7046,plain,
% 3.04/3.22 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[796, 7045])).
% 3.04/3.22 tff(7047,plain,
% 3.04/3.22 (~b(s(s(s(s(z)))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5279, 7042, 7, 5014])).
% 3.04/3.22 tff(7048,plain,
% 3.04/3.22 (r(s(s(s(s(z)))), z)),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[170, 7047])).
% 3.04/3.22 tff(7049,plain,
% 3.04/3.22 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[6269, 7042, 7, 5014])).
% 3.04/3.22 tff(7050,plain,
% 3.04/3.22 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[233, 7049])).
% 3.04/3.22 tff(7051,plain,
% 3.04/3.22 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[2538, 284, 203, 782])).
% 3.04/3.22 tff(7052,plain,
% 3.04/3.22 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[450, 7051])).
% 3.04/3.22 tff(7053,plain,
% 3.04/3.22 (~r(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[1749, 7052, 9, 738])).
% 3.04/3.22 tff(7054,plain,
% 3.04/3.22 (b(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[370, 7053])).
% 3.04/3.22 tff(7055,plain,
% 3.04/3.22 ($false),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5187, 213, 7054, 5015, 782, 284])).
% 3.04/3.22 tff(7056,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.22 tff(7057,plain,
% 3.04/3.22 (~b(s(s(s(s(z)))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[7056, 7046, 5014, 9, 7050, 7042])).
% 3.04/3.22 tff(7058,plain,
% 3.04/3.22 (r(s(s(s(s(z)))), s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[115, 7057])).
% 3.04/3.22 tff(7059,plain,
% 3.04/3.22 (~r(z, s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[5249, 2410, 7058, 2, 7048])).
% 3.04/3.22 tff(7060,plain,
% 3.04/3.22 (b(z, s(s(s(z))))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[581, 7059])).
% 3.04/3.22 tff(7061,plain,
% 3.04/3.22 (~r(z, s(z))),
% 3.04/3.22 inference(unit_resolution,[status(thm)],[3355, 7058, 2, 7048])).
% 3.04/3.23 tff(7062,plain,
% 3.04/3.23 (b(z, s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[370, 7061])).
% 3.04/3.23 tff(7063,plain,
% 3.04/3.23 (~r(s(s(s(z))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[3633, 2410, 7058, 2, 7048])).
% 3.04/3.23 tff(7064,plain,
% 3.04/3.23 (b(s(s(s(z))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[535, 7063])).
% 3.04/3.23 tff(7065,plain,
% 3.04/3.23 (~r(s(s(s(z))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[3139, 7064, 2, 7062, 7050, 9, 7060])).
% 3.04/3.23 tff(7066,plain,
% 3.04/3.23 (~r(z, s(s(s(z))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[3157, 11, 6233, 7050])).
% 3.04/3.23 tff(7067,plain,
% 3.04/3.23 (b(z, s(s(s(z))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[581, 7066])).
% 3.04/3.23 tff(7068,plain,
% 3.04/3.23 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[2583, 7067, 7050, 7062, 2, 11, 6950, 7])).
% 3.04/3.23 tff(7069,plain,
% 3.04/3.23 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1504, 7067, 9, 6233, 11, 7062])).
% 3.04/3.23 tff(7070,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[450, 7069, 7068])).
% 3.04/3.23 tff(7071,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(7072,plain,
% 3.04/3.23 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[7071, 2, 9, 7])).
% 3.04/3.23 tff(7073,plain,
% 3.04/3.23 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[596, 7072])).
% 3.04/3.23 tff(7074,plain,
% 3.04/3.23 (~b(s(s(s(z))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[2797, 7060, 7, 7073])).
% 3.04/3.23 tff(7075,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[2303, 7074, 7065])).
% 3.04/3.23 tff(7076,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(7077,plain,
% 3.04/3.23 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[7076, 2, 7, 9])).
% 3.04/3.23 tff(7078,plain,
% 3.04/3.23 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[2750, 7077])).
% 3.04/3.23 tff(7079,plain,
% 3.04/3.23 (~b(s(s(s(z))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[2700, 7078, 6950, 7046])).
% 3.04/3.23 tff(7080,plain,
% 3.04/3.23 (r(s(s(s(z))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[535, 7079])).
% 3.04/3.23 tff(7081,plain,
% 3.04/3.23 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[2357, 7078, 7046, 6950])).
% 3.04/3.23 tff(7082,plain,
% 3.04/3.23 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1871, 7081])).
% 3.04/3.23 tff(7083,plain,
% 3.04/3.23 (~r(s(s(s(z))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[6718, 7082, 2, 7058, 7080])).
% 3.04/3.23 tff(7084,plain,
% 3.04/3.23 (b(s(s(s(z))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[2303, 7083])).
% 3.04/3.23 tff(7085,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[744, 76, 2, 738, 252, 9, 13])).
% 3.04/3.23 tff(7086,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(7087,plain,
% 3.04/3.23 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[7086, 2, 7050, 6889, 9])).
% 3.04/3.23 tff(7088,plain,
% 3.04/3.23 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[627, 7087])).
% 3.04/3.23 tff(7089,plain,
% 3.04/3.23 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1564, 7082, 6233, 7058, 7044])).
% 3.04/3.23 tff(7090,plain,
% 3.04/3.23 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[450, 7089])).
% 3.04/3.23 tff(7091,plain,
% 3.04/3.23 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[2558, 706, 252, 16])).
% 3.04/3.23 tff(7092,plain,
% 3.04/3.23 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[338, 7091])).
% 3.04/3.23 tff(7093,plain,
% 3.04/3.23 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[6706, 7092, 856, 203, 3, 2305, 16, 706, 1556, 5])).
% 3.04/3.23 tff(7094,plain,
% 3.04/3.23 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[316, 7093])).
% 3.04/3.23 tff(7095,plain,
% 3.04/3.23 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[839, 7094, 203, 7092])).
% 3.04/3.23 tff(7096,plain,
% 3.04/3.23 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[436, 7095])).
% 3.04/3.23 tff(7097,plain,
% 3.04/3.23 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[5233, 7094, 5015, 7092])).
% 3.04/3.23 tff(7098,plain,
% 3.04/3.23 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[627, 7097])).
% 3.04/3.23 tff(7099,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[1843, 7098, 7096, 252, 9, 2])).
% 3.04/3.23 tff(7100,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(7101,plain,
% 3.04/3.23 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[7100, 2, 9, 6889, 5014, 7042, 6950, 7090, 7078, 7058, 7082, 7044])).
% 3.04/3.23 tff(7102,plain,
% 3.04/3.23 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[610, 7101])).
% 3.04/3.23 tff(7103,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(7104,plain,
% 3.04/3.23 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(7105,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.04/3.23 inference(monotonicity,[status(thm)],[7104])).
% 3.04/3.23 tff(7106,plain,
% 3.04/3.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.04/3.23 inference(transitivity,[status(thm)],[7105, 7103])).
% 3.04/3.23 tff(7107,plain,
% 3.04/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.23 inference(quant_inst,[status(thm)],[])).
% 3.04/3.23 tff(7108,plain,
% 3.04/3.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.04/3.23 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 3.04/3.23 tff(7109,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[7108, 213, 281, 3, 856, 7, 831, 2812, 1016])).
% 3.04/3.23 tff(7110,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(7111,plain,
% 3.04/3.23 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[7110, 7102, 7090, 6950, 7, 7088, 7084])).
% 3.04/3.23 tff(7112,plain,
% 3.04/3.23 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[436, 7111])).
% 3.04/3.23 tff(7113,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(7114,plain,
% 3.04/3.23 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(7115,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.23 inference(monotonicity,[status(thm)],[7114])).
% 3.04/3.23 tff(7116,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.23 inference(transitivity,[status(thm)],[7115, 7113])).
% 3.04/3.23 tff(7117,plain,
% 3.04/3.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)))),
% 3.04/3.23 inference(quant_inst,[status(thm)],[])).
% 3.04/3.23 tff(7118,plain,
% 3.04/3.23 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.23 inference(modus_ponens,[status(thm)],[7117, 7116])).
% 3.04/3.23 tff(7119,plain,
% 3.04/3.23 ($false),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[7118, 76, 2, 7050, 6889, 7112, 9])).
% 3.04/3.23 tff(7120,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.23 tff(7121,plain,
% 3.04/3.23 (~r(s(z), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[7120, 9, 7])).
% 3.04/3.23 tff(7122,plain,
% 3.04/3.23 (b(s(z), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[3759, 7121])).
% 3.04/3.23 tff(7123,plain,
% 3.04/3.23 (~b(s(s(s(s(z)))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[5446, 7122, 7, 9])).
% 3.04/3.23 tff(7124,plain,
% 3.04/3.23 (r(s(s(s(s(z)))), z)),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[170, 7123])).
% 3.04/3.23 tff(7125,plain,
% 3.04/3.23 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[6370, 202, 7122, 7])).
% 3.04/3.23 tff(7126,plain,
% 3.04/3.23 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[450, 7125])).
% 3.04/3.23 tff(7127,plain,
% 3.04/3.23 (~r(s(s(s(s(z)))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[84, 6579, 9, 7126])).
% 3.04/3.23 tff(7128,plain,
% 3.04/3.23 (b(s(s(s(s(z)))), s(z))),
% 3.04/3.23 inference(unit_resolution,[status(thm)],[115, 7127])).
% 3.04/3.23 tff(7129,plain,
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% 3.04/3.23 inference(monotonicity,[status(thm)],[7148])).
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% 3.04/3.23 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
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% 3.04/3.23 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.23 inference(rewrite,[status(thm)],[])).
% 3.04/3.23 tff(7177,plain,
% 3.04/3.23 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[7176])).
% 3.04/3.24 tff(7178,plain,
% 3.04/3.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.24 inference(transitivity,[status(thm)],[7177, 7175])).
% 3.04/3.24 tff(7179,plain,
% 3.04/3.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(7180,plain,
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% 3.04/3.24 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 3.04/3.24 tff(7181,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7180, 76, 5, 1028, 690, 689, 382])).
% 3.04/3.24 tff(7182,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(7183,plain,
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% 3.04/3.24 inference(unit_resolution,[status(thm)],[7182, 7174, 6233, 5, 7162])).
% 3.04/3.24 tff(7184,plain,
% 3.04/3.24 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[436, 7183])).
% 3.04/3.24 tff(7185,plain,
% 3.04/3.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(7186,plain,
% 3.04/3.24 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(7187,plain,
% 3.04/3.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[7186])).
% 3.04/3.24 tff(7188,plain,
% 3.04/3.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.24 inference(transitivity,[status(thm)],[7187, 7185])).
% 3.04/3.24 tff(7189,plain,
% 3.04/3.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(7190,plain,
% 3.04/3.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.04/3.24 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 3.04/3.24 tff(7191,plain,
% 3.04/3.24 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7190, 76, 706, 6233, 7168])).
% 3.04/3.24 tff(7192,plain,
% 3.04/3.24 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7191, 7174])).
% 3.04/3.24 tff(7193,plain,
% 3.04/3.24 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[484, 7192])).
% 3.04/3.24 tff(7194,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1295, 7193, 7184, 7, 7160])).
% 3.04/3.24 tff(7195,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(7196,plain,
% 3.04/3.24 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7195, 7158, 7, 7136, 9, 7142])).
% 3.04/3.24 tff(7197,plain,
% 3.04/3.24 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[610, 7196])).
% 3.04/3.24 tff(7198,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(7199,plain,
% 3.04/3.24 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(7200,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[7199])).
% 3.04/3.24 tff(7201,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.24 inference(transitivity,[status(thm)],[7200, 7198])).
% 3.04/3.24 tff(7202,plain,
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% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(7203,plain,
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% 3.04/3.24 inference(modus_ponens,[status(thm)],[7202, 7201])).
% 3.04/3.24 tff(7204,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7203, 213, 281, 868, 856, 867])).
% 3.04/3.24 tff(7205,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(7206,plain,
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% 3.04/3.24 tff(7207,plain,
% 3.04/3.24 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[653, 7206])).
% 3.04/3.24 tff(7208,plain,
% 3.04/3.24 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[6531, 76, 7124, 7207, 7144, 7140])).
% 3.04/3.24 tff(7209,plain,
% 3.04/3.24 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[338, 7208])).
% 3.04/3.24 tff(7210,plain,
% 3.04/3.24 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
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% 3.04/3.24 tff(7211,plain,
% 3.04/3.24 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[153, 7210])).
% 3.04/3.24 tff(7212,plain,
% 3.04/3.24 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[6476, 7146, 7122, 7136, 9, 7138, 6233])).
% 3.04/3.24 tff(7213,plain,
% 3.04/3.24 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[596, 7212])).
% 3.04/3.24 tff(7214,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(7215,plain,
% 3.04/3.24 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(7216,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[7215])).
% 3.04/3.24 tff(7217,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.24 inference(transitivity,[status(thm)],[7216, 7214])).
% 3.04/3.24 tff(7218,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(7219,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.04/3.24 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 3.04/3.24 tff(7220,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7219, 213, 284, 506, 281, 856, 203, 467, 464])).
% 3.04/3.24 tff(7221,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(7222,plain,
% 3.04/3.24 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7221, 284, 7213, 7197, 6950, 7211, 7209])).
% 3.04/3.24 tff(7223,plain,
% 3.04/3.24 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[484, 7222])).
% 3.04/3.24 tff(7224,plain,
% 3.04/3.24 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[6547, 76, 7134, 6233, 7207])).
% 3.04/3.24 tff(7225,plain,
% 3.04/3.24 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7224, 7223])).
% 3.04/3.24 tff(7226,plain,
% 3.04/3.24 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[627, 7225])).
% 3.04/3.24 tff(7227,plain,
% 3.04/3.24 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[6556, 76, 7158, 7207, 7144])).
% 3.04/3.24 tff(7228,plain,
% 3.04/3.24 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7227, 7223])).
% 3.04/3.24 tff(7229,plain,
% 3.04/3.24 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[316, 7228])).
% 3.04/3.24 tff(7230,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[5233, 7229, 7226, 5014, 7209])).
% 3.04/3.24 tff(7231,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(7232,plain,
% 3.04/3.24 (~b(s(s(s(s(z)))), s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7231, 9, 7])).
% 3.04/3.24 tff(7233,plain,
% 3.04/3.24 (r(s(s(s(s(z)))), s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[115, 7232])).
% 3.04/3.24 tff(7234,plain,
% 3.04/3.24 (~r(z, s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[6863, 7233, 6950, 7122, 9, 7])).
% 3.04/3.24 tff(7235,plain,
% 3.04/3.24 (b(z, s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[370, 7234])).
% 3.04/3.24 tff(7236,plain,
% 3.04/3.24 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[3866, 7235, 7, 7122])).
% 3.04/3.24 tff(7237,plain,
% 3.04/3.24 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[450, 7236])).
% 3.04/3.24 tff(7238,plain,
% 3.04/3.24 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[84, 7237, 9, 7233])).
% 3.04/3.24 tff(7239,plain,
% 3.04/3.24 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[153, 7238])).
% 3.04/3.24 tff(7240,plain,
% 3.04/3.24 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[5035, 7239, 7, 5014])).
% 3.04/3.24 tff(7241,plain,
% 3.04/3.24 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[250, 7240])).
% 3.04/3.24 tff(7242,plain,
% 3.04/3.24 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[6172, 7241, 9, 7, 7237])).
% 3.04/3.24 tff(7243,plain,
% 3.04/3.24 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[796, 7242])).
% 3.04/3.24 tff(7244,plain,
% 3.04/3.24 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1564, 7241, 6233, 7233, 7237])).
% 3.04/3.24 tff(7245,plain,
% 3.04/3.24 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[1871, 7244])).
% 3.04/3.24 tff(7246,plain,
% 3.04/3.24 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[2357, 7245, 7243, 6950])).
% 3.04/3.24 tff(7247,plain,
% 3.04/3.24 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[2750, 7246])).
% 3.04/3.24 tff(7248,plain,
% 3.04/3.24 (~r(s(s(s(z))), s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[4959, 7245, 6233, 7237, 7241])).
% 3.04/3.24 tff(7249,plain,
% 3.04/3.24 (b(s(s(s(z))), s(z))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[535, 7248])).
% 3.04/3.24 tff(7250,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[3954, 7249, 7247, 7122, 7235, 7124])).
% 3.04/3.24 tff(7251,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(7252,plain,
% 3.04/3.24 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7251, 7])).
% 3.04/3.24 tff(7253,plain,
% 3.04/3.24 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[3417, 7252])).
% 3.04/3.24 tff(7254,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(7255,plain,
% 3.04/3.24 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.24 inference(rewrite,[status(thm)],[])).
% 3.04/3.24 tff(7256,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 3.04/3.24 inference(monotonicity,[status(thm)],[7255])).
% 3.04/3.24 tff(7257,plain,
% 3.04/3.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.24 inference(transitivity,[status(thm)],[7256, 7254])).
% 3.04/3.24 tff(7258,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.24 inference(quant_inst,[status(thm)],[])).
% 3.04/3.24 tff(7259,plain,
% 3.04/3.24 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 3.04/3.24 inference(modus_ponens,[status(thm)],[7258, 7257])).
% 3.04/3.24 tff(7260,plain,
% 3.04/3.24 ($false),
% 3.04/3.24 inference(unit_resolution,[status(thm)],[7259, 213, 1, 3, 7, 7253])).
% 3.04/3.24 tff(7261,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.24 tff(7262,plain,
% 3.04/3.25 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7261, 1, 7])).
% 3.04/3.25 tff(7263,plain,
% 3.04/3.25 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[450, 7262])).
% 3.04/3.25 tff(7264,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7265,plain,
% 3.04/3.25 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7266,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[7265])).
% 3.04/3.25 tff(7267,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.25 inference(transitivity,[status(thm)],[7266, 7264])).
% 3.04/3.25 tff(7268,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(7269,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 3.04/3.25 tff(7270,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7269, 213, 3771, 7, 4, 202])).
% 3.04/3.25 tff(7271,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7272,plain,
% 3.04/3.25 (~b(s(z), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7271, 202, 7, 7253])).
% 3.04/3.25 tff(7273,plain,
% 3.04/3.25 (r(s(z), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[3759, 7272])).
% 3.04/3.25 tff(7274,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7275,plain,
% 3.04/3.25 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7276,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[7275])).
% 3.04/3.25 tff(7277,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.25 inference(transitivity,[status(thm)],[7276, 7274])).
% 3.04/3.25 tff(7278,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(7279,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 3.04/3.25 tff(7280,plain,
% 3.04/3.25 (~b(z, s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7279, 213, 7, 7253, 202])).
% 3.04/3.25 tff(7281,plain,
% 3.04/3.25 (r(z, s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[370, 7280])).
% 3.04/3.25 tff(7282,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2477, 76, 350, 10, 16, 691, 1027])).
% 3.04/3.25 tff(7283,plain,((~r(s(z), s(s(s(z))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7284,plain,
% 3.04/3.25 (~r(z, s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7283, 16, 10, 1027, 7281])).
% 3.04/3.25 tff(7285,plain,
% 3.04/3.25 (b(z, s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[581, 7284])).
% 3.04/3.25 tff(7286,plain,
% 3.04/3.25 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[4433, 7285, 7, 202])).
% 3.04/3.25 tff(7287,plain,
% 3.04/3.25 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[596, 7286])).
% 3.04/3.25 tff(7288,plain,
% 3.04/3.25 (~r(s(s(s(s(z)))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[3355, 16, 7273, 7281])).
% 3.04/3.25 tff(7289,plain,
% 3.04/3.25 (b(s(s(s(s(z)))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[170, 7288])).
% 3.04/3.25 tff(7290,plain,
% 3.04/3.25 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[221, 7289, 7, 202])).
% 3.04/3.25 tff(7291,plain,
% 3.04/3.25 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[153, 7290])).
% 3.04/3.25 tff(7292,plain,
% 3.04/3.25 (~b(s(s(s(s(z)))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[735, 468, 7, 202])).
% 3.04/3.25 tff(7293,plain,
% 3.04/3.25 (r(s(s(s(s(z)))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[170, 7292])).
% 3.04/3.25 tff(7294,plain,
% 3.04/3.25 (~r(s(s(s(s(z)))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[3355, 7293, 7273, 7281])).
% 3.04/3.25 tff(7295,plain,
% 3.04/3.25 (b(s(s(s(s(z)))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[115, 7294])).
% 3.04/3.25 tff(7296,plain,
% 3.04/3.25 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[3405, 468, 7253, 782])).
% 3.04/3.25 tff(7297,plain,
% 3.04/3.25 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[153, 7296])).
% 3.04/3.25 tff(7298,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7299,plain,
% 3.04/3.25 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7300,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[7299])).
% 3.04/3.25 tff(7301,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.04/3.25 inference(transitivity,[status(thm)],[7300, 7298])).
% 3.04/3.25 tff(7302,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(7303,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 3.04/3.25 tff(7304,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7303, 213, 506, 1507, 856, 4])).
% 3.04/3.25 tff(7305,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7306,plain,
% 3.04/3.25 (~b(s(z), s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7305, 1507, 4, 506])).
% 3.04/3.25 tff(7307,plain,
% 3.04/3.25 (r(s(z), s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[564, 7306])).
% 3.04/3.25 tff(7308,plain,
% 3.04/3.25 (~b(z, s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2293, 1507, 506, 202])).
% 3.04/3.25 tff(7309,plain,
% 3.04/3.25 (r(z, s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[581, 7308])).
% 3.04/3.25 tff(7310,plain,
% 3.04/3.25 (~r(s(s(s(z))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2880, 7309, 350, 7307])).
% 3.04/3.25 tff(7311,plain,
% 3.04/3.25 (b(s(s(s(z))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[535, 7310])).
% 3.04/3.25 tff(7312,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7313,plain,
% 3.04/3.25 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7314,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[7313])).
% 3.04/3.25 tff(7315,plain,
% 3.04/3.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.25 inference(transitivity,[status(thm)],[7314, 7312])).
% 3.04/3.25 tff(7316,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(7317,plain,
% 3.04/3.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[7316, 7315])).
% 3.04/3.25 tff(7318,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7317, 213, 506, 1507, 7311, 4])).
% 3.04/3.25 tff(7319,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7320,plain,
% 3.04/3.25 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7319, 1507, 7253, 202, 7281])).
% 3.04/3.25 tff(7321,plain,
% 3.04/3.25 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[596, 7320])).
% 3.04/3.25 tff(7322,plain,
% 3.04/3.25 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[3878, 8, 284, 782])).
% 3.04/3.25 tff(7323,plain,
% 3.04/3.25 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2750, 7322])).
% 3.04/3.25 tff(7324,plain,
% 3.04/3.25 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[4169, 8, 6, 11, 782, 1027])).
% 3.04/3.25 tff(7325,plain,
% 3.04/3.25 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1871, 7324])).
% 3.04/3.25 tff(7326,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2690, 7325, 7323, 10, 7, 6, 11])).
% 3.04/3.25 tff(7327,plain,((~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7328,plain,
% 3.04/3.25 (~b(s(s(s(z))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7327, 7321, 7, 6, 10, 782, 1027, 284])).
% 3.04/3.25 tff(7329,plain,
% 3.04/3.25 (r(s(s(s(z))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[535, 7328])).
% 3.04/3.25 tff(7330,plain,
% 3.04/3.25 (~r(z, s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2880, 7329, 1027, 7281])).
% 3.04/3.25 tff(7331,plain,
% 3.04/3.25 (b(z, s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[581, 7330])).
% 3.04/3.25 tff(7332,plain,
% 3.04/3.25 (~r(s(s(s(z))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2775, 7329, 7273, 7281])).
% 3.04/3.25 tff(7333,plain,
% 3.04/3.25 (b(s(s(s(z))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2303, 7332])).
% 3.04/3.25 tff(7334,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1515, 7333, 7331, 7, 1507])).
% 3.04/3.25 tff(7335,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7336,plain,
% 3.04/3.25 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7335, 7297, 1027, 7, 10, 782, 7295, 202])).
% 3.04/3.25 tff(7337,plain,
% 3.04/3.25 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1042, 7336])).
% 3.04/3.25 tff(7338,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1813, 213, 782, 284, 3, 468])).
% 3.04/3.25 tff(7339,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7340,plain,
% 3.04/3.25 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7339, 7295, 782, 468])).
% 3.04/3.25 tff(7341,plain,
% 3.04/3.25 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[450, 7340])).
% 3.04/3.25 tff(7342,plain,
% 3.04/3.25 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[917, 706, 7273, 7281])).
% 3.04/3.25 tff(7343,plain,
% 3.04/3.25 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[627, 7342])).
% 3.04/3.25 tff(7344,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7345,plain,
% 3.04/3.25 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.25 inference(rewrite,[status(thm)],[])).
% 3.04/3.25 tff(7346,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.25 inference(monotonicity,[status(thm)],[7345])).
% 3.04/3.25 tff(7347,plain,
% 3.04/3.25 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.25 inference(transitivity,[status(thm)],[7346, 7344])).
% 3.04/3.25 tff(7348,plain,
% 3.04/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.25 inference(quant_inst,[status(thm)],[])).
% 3.04/3.25 tff(7349,plain,
% 3.04/3.25 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.25 inference(modus_ponens,[status(thm)],[7348, 7347])).
% 3.04/3.25 tff(7350,plain,
% 3.04/3.25 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7349, 76, 15, 706, 1028, 1027])).
% 3.04/3.25 tff(7351,plain,
% 3.04/3.25 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[436, 7350])).
% 3.04/3.25 tff(7352,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[6014, 213, 7, 7351, 7343, 202])).
% 3.04/3.25 tff(7353,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7354,plain,
% 3.04/3.25 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7353, 7341, 202, 7, 7337, 1027])).
% 3.04/3.25 tff(7355,plain,
% 3.04/3.25 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[610, 7354])).
% 3.04/3.25 tff(7356,plain,
% 3.04/3.25 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1265, 213, 782, 7295, 7355])).
% 3.04/3.25 tff(7357,plain,
% 3.04/3.25 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[316, 7356])).
% 3.04/3.25 tff(7358,plain,
% 3.04/3.25 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1207, 7357, 10, 7293])).
% 3.04/3.25 tff(7359,plain,
% 3.04/3.25 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[627, 7358])).
% 3.04/3.25 tff(7360,plain,
% 3.04/3.25 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[1283, 213, 782, 7295, 7355])).
% 3.04/3.25 tff(7361,plain,
% 3.04/3.25 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[338, 7360])).
% 3.04/3.25 tff(7362,plain,
% 3.04/3.25 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[3317, 7359, 7, 202])).
% 3.04/3.25 tff(7363,plain,
% 3.04/3.25 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[484, 7362])).
% 3.04/3.25 tff(7364,plain,
% 3.04/3.25 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[2251, 7363, 7297, 7361])).
% 3.04/3.25 tff(7365,plain,
% 3.04/3.25 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[436, 7364])).
% 3.04/3.25 tff(7366,plain,
% 3.04/3.25 ($false),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[6014, 213, 7, 7365, 7359, 202])).
% 3.04/3.25 tff(7367,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.25 tff(7368,plain,
% 3.04/3.25 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[7367, 782, 202, 10, 7, 1027])).
% 3.04/3.25 tff(7369,plain,
% 3.04/3.25 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.25 inference(unit_resolution,[status(thm)],[250, 7368])).
% 3.04/3.25 tff(7370,plain,
% 3.04/3.25 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2664, 7291, 7369, 7287])).
% 3.04/3.26 tff(7371,plain,
% 3.04/3.26 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1871, 7370])).
% 3.04/3.26 tff(7372,plain,
% 3.04/3.26 (~b(s(s(s(z))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[4169, 7371, 7291, 7287, 782, 1027])).
% 3.04/3.26 tff(7373,plain,
% 3.04/3.26 (r(s(s(s(z))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[535, 7372])).
% 3.04/3.26 tff(7374,plain,
% 3.04/3.26 (~r(s(s(s(z))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2775, 7373, 7273, 7281])).
% 3.04/3.26 tff(7375,plain,
% 3.04/3.26 (b(s(s(s(z))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2303, 7374])).
% 3.04/3.26 tff(7376,plain,
% 3.04/3.26 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2313, 7375, 7285, 7289])).
% 3.04/3.26 tff(7377,plain,
% 3.04/3.26 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2750, 7376])).
% 3.04/3.26 tff(7378,plain,
% 3.04/3.26 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1515, 7375, 7, 7285])).
% 3.04/3.26 tff(7379,plain,
% 3.04/3.26 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1042, 7378])).
% 3.04/3.26 tff(7380,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2684, 7379, 7377, 7291, 7287])).
% 3.04/3.26 tff(7381,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(7382,plain,
% 3.04/3.26 (~r(s(s(s(s(z)))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7381, 782, 7, 1027, 202, 10])).
% 3.04/3.26 tff(7383,plain,
% 3.04/3.26 (b(s(s(s(s(z)))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[115, 7382])).
% 3.04/3.26 tff(7384,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7385,plain,
% 3.04/3.26 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7386,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[7385])).
% 3.04/3.26 tff(7387,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.26 inference(transitivity,[status(thm)],[7386, 7384])).
% 3.04/3.26 tff(7388,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(7389,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[7388, 7387])).
% 3.04/3.26 tff(7390,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7389, 213, 284, 7, 203, 7253, 202])).
% 3.04/3.26 tff(7391,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(7392,plain,
% 3.04/3.26 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7391, 7383, 7, 202])).
% 3.04/3.26 tff(7393,plain,
% 3.04/3.26 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[153, 7392])).
% 3.04/3.26 tff(7394,plain,
% 3.04/3.26 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7335, 7393, 1027, 7, 10, 782, 7383, 202])).
% 3.04/3.26 tff(7395,plain,
% 3.04/3.26 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1042, 7394])).
% 3.04/3.26 tff(7396,plain,
% 3.04/3.26 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7391, 284, 7, 202])).
% 3.04/3.26 tff(7397,plain,
% 3.04/3.26 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[153, 7396])).
% 3.04/3.26 tff(7398,plain,
% 3.04/3.26 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1299, 281, 10, 5, 7397, 284, 782, 7])).
% 3.04/3.26 tff(7399,plain,
% 3.04/3.26 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[627, 7398])).
% 3.04/3.26 tff(7400,plain,
% 3.04/3.26 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[3317, 7399, 7, 202])).
% 3.04/3.26 tff(7401,plain,
% 3.04/3.26 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[484, 7400])).
% 3.04/3.26 tff(7402,plain,
% 3.04/3.26 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7403,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[7402])).
% 3.04/3.26 tff(7404,plain,
% 3.04/3.26 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[7403, 5162])).
% 3.04/3.26 tff(7405,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(7406,plain,
% 3.04/3.26 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 3.04/3.26 tff(7407,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7406, 76, 7397, 5, 7401, 1267])).
% 3.04/3.26 tff(7408,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(7409,plain,
% 3.04/3.26 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7408, 7369, 782, 7383, 7, 202, 10])).
% 3.04/3.26 tff(7410,plain,
% 3.04/3.26 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[610, 7409])).
% 3.04/3.26 tff(7411,plain,
% 3.04/3.26 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7353, 7410, 202, 7, 7395, 1027])).
% 3.04/3.26 tff(7412,plain,
% 3.04/3.26 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[450, 7411])).
% 3.04/3.26 tff(7413,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7414,plain,
% 3.04/3.26 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(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(s(z))))))))) | (~b(s(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(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7415,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(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(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[7414])).
% 3.04/3.26 tff(7416,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(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(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[7415, 7413])).
% 3.04/3.26 tff(7417,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(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(s(z))))))))) | (~b(s(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(s(z))))))))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(7418,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 3.04/3.26 tff(7419,plain,
% 3.04/3.26 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7418, 213, 284, 3, 4])).
% 3.04/3.26 tff(7420,plain,
% 3.04/3.26 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[153, 7419])).
% 3.04/3.26 tff(7421,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7422,plain,
% 3.04/3.26 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7423,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[7422])).
% 3.04/3.26 tff(7424,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[7423, 7421])).
% 3.04/3.26 tff(7425,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(7426,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 3.04/3.26 tff(7427,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7426, 213, 506, 3, 8, 4])).
% 3.04/3.26 tff(7428,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(7429,plain,
% 3.04/3.26 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7428, 8, 3, 4])).
% 3.04/3.26 tff(7430,plain,
% 3.04/3.26 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[596, 7429])).
% 3.04/3.26 tff(7431,plain,
% 3.04/3.26 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1867, 76, 7430, 7420, 5])).
% 3.04/3.26 tff(7432,assumption,(~(s(s(s(z))) = s(s(s(s(z)))))), introduced(assumption)).
% 3.04/3.26 tff(7433,plain,
% 3.04/3.26 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[516, 110, 7432, 7431])).
% 3.04/3.26 tff(7434,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7435,plain,
% 3.04/3.26 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.26 inference(rewrite,[status(thm)],[])).
% 3.04/3.26 tff(7436,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 3.04/3.26 inference(monotonicity,[status(thm)],[7435])).
% 3.04/3.26 tff(7437,plain,
% 3.04/3.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.26 inference(transitivity,[status(thm)],[7436, 7434])).
% 3.04/3.26 tff(7438,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.04/3.26 inference(quant_inst,[status(thm)],[])).
% 3.04/3.26 tff(7439,plain,
% 3.04/3.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 3.04/3.26 inference(modus_ponens,[status(thm)],[7438, 7437])).
% 3.04/3.26 tff(7440,plain,
% 3.04/3.26 ($false),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7439, 213, 284, 3, 8, 4, 7433])).
% 3.04/3.26 tff(7441,plain,((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (s(s(s(z))) = s(s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.26 tff(7442,plain,
% 3.04/3.26 ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7441, 505])).
% 3.04/3.26 tff(7443,plain,
% 3.04/3.26 (~b(s(s(s(z))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[7442, 7412, 7253, 7369, 7383])).
% 3.04/3.26 tff(7444,plain,
% 3.04/3.26 (r(s(s(s(z))), s(z))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[535, 7443])).
% 3.04/3.26 tff(7445,plain,
% 3.04/3.26 (~r(z, s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2880, 7444, 1027, 7281])).
% 3.04/3.26 tff(7446,plain,
% 3.04/3.26 (b(z, s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[581, 7445])).
% 3.04/3.26 tff(7447,plain,
% 3.04/3.26 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[4433, 7446, 7, 202])).
% 3.04/3.26 tff(7448,plain,
% 3.04/3.26 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[596, 7447])).
% 3.04/3.26 tff(7449,plain,
% 3.04/3.26 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2664, 7448, 7369, 7393])).
% 3.04/3.26 tff(7450,plain,
% 3.04/3.26 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[1871, 7449])).
% 3.04/3.26 tff(7451,plain,
% 3.04/3.26 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2684, 7448, 7393, 7395])).
% 3.04/3.26 tff(7452,plain,
% 3.04/3.26 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.04/3.26 inference(unit_resolution,[status(thm)],[2750, 7451])).
% 3.04/3.26 tff(7453,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[917, 7410, 7273, 7281])).
% 3.04/3.27 tff(7454,plain,
% 3.04/3.27 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[627, 7453])).
% 3.04/3.27 tff(7455,plain,
% 3.04/3.27 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[3317, 7454, 7, 202])).
% 3.04/3.27 tff(7456,plain,
% 3.04/3.27 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[484, 7455])).
% 3.04/3.27 tff(7457,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7190, 76, 7410, 7395, 7456, 7444])).
% 3.04/3.27 tff(7458,plain,
% 3.04/3.27 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[653, 7457])).
% 3.04/3.27 tff(7459,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7460,plain,
% 3.04/3.27 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7461,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[7460])).
% 3.04/3.27 tff(7462,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[7461, 7459])).
% 3.04/3.27 tff(7463,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(7464,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 3.04/3.27 tff(7465,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7464, 213, 7446, 7458, 7454, 7452, 7450])).
% 3.04/3.27 tff(7466,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(7467,plain,
% 3.04/3.27 (~b(s(z), s(s(s(s(z)))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7466, 202, 7, 1027, 10])).
% 3.04/3.27 tff(7468,plain,
% 3.04/3.27 (r(s(z), s(s(s(s(z)))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[796, 7467])).
% 3.04/3.27 tff(7469,plain,
% 3.04/3.27 (~r(s(s(s(s(z)))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[163, 7468, 10, 7273])).
% 3.04/3.27 tff(7470,plain,
% 3.04/3.27 (b(s(s(s(s(z)))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[170, 7469])).
% 3.04/3.27 tff(7471,plain,
% 3.04/3.27 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[735, 7470, 7, 202])).
% 3.04/3.27 tff(7472,plain,
% 3.04/3.27 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[250, 7471])).
% 3.04/3.27 tff(7473,plain,
% 3.04/3.27 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[221, 7470, 7, 202])).
% 3.04/3.27 tff(7474,plain,
% 3.04/3.27 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[153, 7473])).
% 3.04/3.27 tff(7475,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[917, 706, 2, 350])).
% 3.04/3.27 tff(7476,plain,
% 3.04/3.27 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[627, 7475])).
% 3.04/3.27 tff(7477,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7478,plain,
% 3.04/3.27 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7479,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[7478])).
% 3.04/3.27 tff(7480,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[7479, 7477])).
% 3.04/3.27 tff(7481,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(7482,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 3.04/3.27 tff(7483,plain,
% 3.04/3.27 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7482, 213, 171, 7476, 4445])).
% 3.04/3.27 tff(7484,plain,
% 3.04/3.27 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[316, 7483])).
% 3.04/3.27 tff(7485,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7486,plain,
% 3.04/3.27 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7487,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[7486])).
% 3.04/3.27 tff(7488,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[7487, 7485])).
% 3.04/3.27 tff(7489,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(7490,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 3.04/3.27 tff(7491,plain,
% 3.04/3.27 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7490, 213, 171, 7476, 4445])).
% 3.04/3.27 tff(7492,plain,
% 3.04/3.27 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[338, 7491])).
% 3.04/3.27 tff(7493,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[965, 705, 5, 689])).
% 3.04/3.27 tff(7494,plain,
% 3.04/3.27 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[436, 7493])).
% 3.04/3.27 tff(7495,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7406, 76, 6, 5, 705])).
% 3.04/3.27 tff(7496,plain,
% 3.04/3.27 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[484, 7495])).
% 3.04/3.27 tff(7497,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7498,plain,
% 3.04/3.27 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7499,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[7498])).
% 3.04/3.27 tff(7500,plain,
% 3.04/3.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[7499, 7497])).
% 3.04/3.27 tff(7501,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(7502,plain,
% 3.04/3.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 3.04/3.27 tff(7503,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7502, 213, 283, 467, 831, 4])).
% 3.04/3.27 tff(7504,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(7505,plain,
% 3.04/3.27 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7504, 7496, 7494, 4])).
% 3.04/3.27 tff(7506,plain,
% 3.04/3.27 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[279, 7505])).
% 3.04/3.27 tff(7507,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7508,plain,
% 3.04/3.27 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.27 inference(rewrite,[status(thm)],[])).
% 3.04/3.27 tff(7509,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.04/3.27 inference(monotonicity,[status(thm)],[7508])).
% 3.04/3.27 tff(7510,plain,
% 3.04/3.27 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.27 inference(transitivity,[status(thm)],[7509, 7507])).
% 3.04/3.27 tff(7511,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.04/3.27 inference(quant_inst,[status(thm)],[])).
% 3.04/3.27 tff(7512,plain,
% 3.04/3.27 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.04/3.27 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 3.04/3.27 tff(7513,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7512, 76, 117, 7506, 689, 705])).
% 3.04/3.27 tff(7514,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(7515,plain,
% 3.04/3.27 ($false),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7514, 7492, 7484, 4, 117, 6, 5])).
% 3.04/3.27 tff(7516,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.27 tff(7517,plain,
% 3.04/3.27 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[7516, 7468, 7253, 7474, 7472, 7281, 10, 7273])).
% 3.04/3.27 tff(7518,plain,
% 3.04/3.27 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[610, 7517])).
% 3.04/3.27 tff(7519,plain,
% 3.04/3.27 (~r(s(s(s(s(z)))), s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[358, 7468, 10, 7281])).
% 3.04/3.27 tff(7520,plain,
% 3.04/3.27 (b(s(s(s(s(z)))), s(z))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[115, 7519])).
% 3.04/3.27 tff(7521,plain,
% 3.04/3.27 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[260, 13, 10, 2, 117])).
% 3.04/3.27 tff(7522,plain,
% 3.04/3.27 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[279, 7521])).
% 3.04/3.27 tff(7523,plain,
% 3.04/3.27 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[347, 7522, 10, 284, 281])).
% 3.04/3.27 tff(7524,plain,
% 3.04/3.27 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.27 inference(unit_resolution,[status(thm)],[819, 7523])).
% 3.04/3.28 tff(7525,plain,
% 3.04/3.28 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[929, 7524, 10, 2, 117, 281, 13])).
% 3.04/3.28 tff(7526,plain,
% 3.04/3.28 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[338, 7525])).
% 3.04/3.28 tff(7527,plain,
% 3.04/3.28 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7514, 7526, 4, 117, 6, 5])).
% 3.04/3.28 tff(7528,plain,
% 3.04/3.28 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[316, 7527])).
% 3.04/3.28 tff(7529,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[290, 213, 284, 281, 7522, 7528])).
% 3.04/3.28 tff(7530,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(7531,plain,
% 3.04/3.28 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7530, 7520, 7518, 7253, 7468, 7474, 7472, 10, 7273])).
% 3.04/3.28 tff(7532,plain,
% 3.04/3.28 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[627, 7531])).
% 3.04/3.28 tff(7533,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7534,plain,
% 3.04/3.28 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7535,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[7534])).
% 3.04/3.28 tff(7536,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[7535, 7533])).
% 3.04/3.28 tff(7537,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(7538,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 3.04/3.28 tff(7539,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7538, 213, 284, 191, 281, 7, 2812, 7253, 717])).
% 3.04/3.28 tff(7540,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(7541,plain,
% 3.04/3.28 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7540, 7520, 7470, 7518, 7, 7532])).
% 3.04/3.28 tff(7542,plain,
% 3.04/3.28 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[316, 7541])).
% 3.04/3.28 tff(7543,plain,
% 3.04/3.28 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7514, 7542, 7253, 7468, 7474, 7472])).
% 3.04/3.28 tff(7544,plain,
% 3.04/3.28 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[338, 7543])).
% 3.04/3.28 tff(7545,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7546,plain,
% 3.04/3.28 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7547,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[7546])).
% 3.04/3.28 tff(7548,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[7547, 7545])).
% 3.04/3.28 tff(7549,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(7550,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 3.04/3.28 tff(7551,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7550, 213, 7520, 7470, 7518, 7, 7544, 7532, 7253])).
% 3.04/3.28 tff(7552,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(7553,plain,
% 3.04/3.28 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7552, 1027, 10, 7])).
% 3.04/3.28 tff(7554,plain,
% 3.04/3.28 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[233, 7553])).
% 3.04/3.28 tff(7555,plain,
% 3.04/3.28 (~r(s(z), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[358, 350, 10, 16])).
% 3.04/3.28 tff(7556,plain,
% 3.04/3.28 (b(s(z), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[796, 7555])).
% 3.04/3.28 tff(7557,plain,
% 3.04/3.28 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[3405, 7556, 4, 203])).
% 3.04/3.28 tff(7558,plain,
% 3.04/3.28 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[250, 7557])).
% 3.04/3.28 tff(7559,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7560,plain,
% 3.04/3.28 (((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(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(s(z)))))))))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7561,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, 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(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[7560])).
% 3.04/3.28 tff(7562,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, 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(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[7561, 7559])).
% 3.04/3.28 tff(7563,plain,
% 3.04/3.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(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(s(z))))))))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(7564,plain,
% 3.04/3.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[7563, 7562])).
% 3.04/3.28 tff(7565,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7564, 76, 350, 10, 16, 738, 7558])).
% 3.04/3.28 tff(7566,plain,((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(7567,plain,
% 3.04/3.28 (~r(z, s(z))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7566, 203, 16, 7554, 7253, 10])).
% 3.04/3.28 tff(7568,plain,
% 3.04/3.28 (b(z, s(z))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[370, 7567])).
% 3.04/3.28 tff(7569,plain,
% 3.04/3.28 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7261, 7568, 7])).
% 3.04/3.28 tff(7570,plain,
% 3.04/3.28 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[450, 7569])).
% 3.04/3.28 tff(7571,plain,
% 3.04/3.28 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[3405, 782, 7253, 203])).
% 3.04/3.28 tff(7572,plain,
% 3.04/3.28 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[250, 7571])).
% 3.04/3.28 tff(7573,plain,
% 3.04/3.28 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[1659, 7572, 1027, 16, 7570])).
% 3.04/3.28 tff(7574,plain,
% 3.04/3.28 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[1042, 7573])).
% 3.04/3.28 tff(7575,plain,
% 3.04/3.28 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[3462, 7574, 10, 203, 7])).
% 3.04/3.28 tff(7576,plain,
% 3.04/3.28 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[596, 7575])).
% 3.04/3.28 tff(7577,plain,
% 3.04/3.28 (~r(z, s(s(s(z))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[1492, 76, 10, 7576, 7554, 7572])).
% 3.04/3.28 tff(7578,plain,
% 3.04/3.28 (b(z, s(s(s(z))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[581, 7577])).
% 3.04/3.28 tff(7579,plain,
% 3.04/3.28 (~b(s(s(s(z))), z)),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[1515, 7578, 7, 7574])).
% 3.04/3.28 tff(7580,plain,
% 3.04/3.28 (r(s(s(s(z))), z)),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[2303, 7579])).
% 3.04/3.28 tff(7581,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7582,plain,
% 3.04/3.28 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7583,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[7582])).
% 3.04/3.28 tff(7584,plain,
% 3.04/3.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.28 inference(transitivity,[status(thm)],[7583, 7581])).
% 3.04/3.28 tff(7585,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(7586,plain,
% 3.04/3.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 3.04/3.28 tff(7587,plain,
% 3.04/3.28 ($false),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7586, 213, 3771, 1, 7, 4])).
% 3.04/3.28 tff(7588,plain,((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.28 tff(7589,plain,
% 3.04/3.28 (~b(s(z), z)),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7588, 7568, 7, 7253])).
% 3.04/3.28 tff(7590,plain,
% 3.04/3.28 (r(s(z), z)),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[3759, 7589])).
% 3.04/3.28 tff(7591,plain,
% 3.04/3.28 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[3405, 782, 4, 203])).
% 3.04/3.28 tff(7592,plain,
% 3.04/3.28 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[250, 7591])).
% 3.04/3.28 tff(7593,plain,
% 3.04/3.28 (~r(z, s(s(s(z))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[1492, 76, 10, 11, 738, 7592])).
% 3.04/3.28 tff(7594,plain,
% 3.04/3.28 (b(z, s(s(s(z))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[581, 7593])).
% 3.04/3.28 tff(7595,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7596,plain,
% 3.04/3.28 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.28 inference(rewrite,[status(thm)],[])).
% 3.04/3.28 tff(7597,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.28 inference(monotonicity,[status(thm)],[7596])).
% 3.04/3.28 tff(7598,plain,
% 3.04/3.28 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.28 inference(transitivity,[status(thm)],[7597, 7595])).
% 3.04/3.28 tff(7599,plain,
% 3.04/3.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.28 inference(quant_inst,[status(thm)],[])).
% 3.04/3.28 tff(7600,plain,
% 3.04/3.28 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.28 inference(modus_ponens,[status(thm)],[7599, 7598])).
% 3.04/3.28 tff(7601,plain,
% 3.04/3.28 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[7600, 76, 11, 738, 2296, 13])).
% 3.04/3.28 tff(7602,plain,
% 3.04/3.28 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[4243, 7601])).
% 3.04/3.28 tff(7603,plain,
% 3.04/3.28 (~r(s(s(s(z))), s(z))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[3133, 2296, 738, 2, 11])).
% 3.04/3.28 tff(7604,plain,
% 3.04/3.28 (b(s(s(s(z))), s(z))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[535, 7603])).
% 3.04/3.28 tff(7605,plain,
% 3.04/3.28 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.28 inference(unit_resolution,[status(thm)],[2574, 13, 738, 2, 706])).
% 3.04/3.28 tff(7606,plain,
% 3.04/3.28 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[484, 7605])).
% 3.04/3.29 tff(7607,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7608,plain,
% 3.04/3.29 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7609,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.29 inference(monotonicity,[status(thm)],[7608])).
% 3.04/3.29 tff(7610,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.29 inference(transitivity,[status(thm)],[7609, 7607])).
% 3.04/3.29 tff(7611,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(7612,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.29 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 3.04/3.29 tff(7613,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7612, 213, 782, 203, 467, 831, 4])).
% 3.04/3.29 tff(7614,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(7615,plain,
% 3.04/3.29 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7614, 7606, 4, 782, 203])).
% 3.04/3.29 tff(7616,plain,
% 3.04/3.29 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[436, 7615])).
% 3.04/3.29 tff(7617,plain,
% 3.04/3.29 (((~![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(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7618,plain,
% 3.04/3.29 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7619,plain,
% 3.04/3.29 (((~![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(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.04/3.29 inference(monotonicity,[status(thm)],[7618])).
% 3.04/3.29 tff(7620,plain,
% 3.04/3.29 (((~![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(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.29 inference(transitivity,[status(thm)],[7619, 7617])).
% 3.04/3.29 tff(7621,plain,
% 3.04/3.29 ((~![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(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(7622,plain,
% 3.04/3.29 ((~![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(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.29 inference(modus_ponens,[status(thm)],[7621, 7620])).
% 3.04/3.29 tff(7623,plain,
% 3.04/3.29 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7622, 76, 11, 7616, 2296, 13])).
% 3.04/3.29 tff(7624,plain,
% 3.04/3.29 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[4243, 7623])).
% 3.04/3.29 tff(7625,plain,
% 3.04/3.29 (((~![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(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7626,plain,
% 3.04/3.29 (((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7627,plain,
% 3.04/3.29 (((~![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(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.04/3.29 inference(monotonicity,[status(thm)],[7626])).
% 3.04/3.29 tff(7628,plain,
% 3.04/3.29 (((~![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(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.29 inference(transitivity,[status(thm)],[7627, 7625])).
% 3.04/3.29 tff(7629,plain,
% 3.04/3.29 ((~![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(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(7630,plain,
% 3.04/3.29 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.04/3.29 inference(modus_ponens,[status(thm)],[7629, 7628])).
% 3.04/3.29 tff(7631,plain,
% 3.04/3.29 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7630, 76, 706, 1027, 2296, 13])).
% 3.04/3.29 tff(7632,plain,
% 3.04/3.29 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[653, 7631])).
% 3.04/3.29 tff(7633,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5900, 7632, 7624, 7606, 1507])).
% 3.04/3.29 tff(7634,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(7635,plain,
% 3.04/3.29 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7634, 13, 1507, 1027, 2296, 11, 4, 782, 203, 738, 2])).
% 3.04/3.29 tff(7636,plain,
% 3.04/3.29 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[610, 7635])).
% 3.04/3.29 tff(7637,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[660, 213, 1, 281, 1065, 283, 8])).
% 3.04/3.29 tff(7638,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(7639,plain,
% 3.04/3.29 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7638, 7636, 7604, 1, 7594])).
% 3.04/3.29 tff(7640,plain,
% 3.04/3.29 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[279, 7639])).
% 3.04/3.29 tff(7641,plain,
% 3.04/3.29 (((~![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(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7642,plain,
% 3.04/3.29 (((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7643,plain,
% 3.04/3.29 (((~![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(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, 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(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.04/3.29 inference(monotonicity,[status(thm)],[7642])).
% 3.04/3.29 tff(7644,plain,
% 3.04/3.29 (((~![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(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, 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(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.04/3.29 inference(transitivity,[status(thm)],[7643, 7641])).
% 3.04/3.29 tff(7645,plain,
% 3.04/3.29 ((~![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(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(7646,plain,
% 3.04/3.29 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.04/3.29 inference(modus_ponens,[status(thm)],[7645, 7644])).
% 3.04/3.29 tff(7647,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7646, 76, 2, 690, 1027, 252, 2296])).
% 3.04/3.29 tff(7648,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(7649,plain,
% 3.04/3.29 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7648, 7640, 1027, 2, 2296])).
% 3.04/3.29 tff(7650,plain,
% 3.04/3.29 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[653, 7649])).
% 3.04/3.29 tff(7651,plain,
% 3.04/3.29 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7172, 7650, 7602, 7594])).
% 3.04/3.29 tff(7652,plain,
% 3.04/3.29 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[819, 7651])).
% 3.04/3.29 tff(7653,plain,
% 3.04/3.29 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[5900, 7650, 7602, 1507])).
% 3.04/3.29 tff(7654,plain,
% 3.04/3.29 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[484, 7653])).
% 3.04/3.29 tff(7655,plain,
% 3.04/3.29 ($false),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[1616, 7654, 7652, 10, 738, 7592])).
% 3.04/3.29 tff(7656,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.29 tff(7657,plain,
% 3.04/3.29 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7656, 7574, 7554, 10, 1027, 7590, 7580, 7576, 7568, 7253, 782, 203])).
% 3.04/3.29 tff(7658,plain,
% 3.04/3.29 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[627, 7657])).
% 3.04/3.29 tff(7659,plain,
% 3.04/3.29 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[1616, 598, 10, 738, 5])).
% 3.04/3.29 tff(7660,plain,
% 3.04/3.29 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[819, 7659])).
% 3.04/3.29 tff(7661,plain,
% 3.04/3.29 (~b(s(z), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7588, 1, 7, 7253])).
% 3.04/3.29 tff(7662,plain,
% 3.04/3.29 (r(s(z), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[3759, 7661])).
% 3.04/3.29 tff(7663,plain,
% 3.04/3.29 (~b(s(s(s(z))), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[1515, 1494, 7, 1507])).
% 3.04/3.29 tff(7664,plain,
% 3.04/3.29 (r(s(s(s(z))), z)),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[2303, 7663])).
% 3.04/3.29 tff(7665,plain,
% 3.04/3.29 (~r(s(s(s(z))), s(z))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[3133, 7664, 738, 7662, 11])).
% 3.04/3.29 tff(7666,plain,
% 3.04/3.29 (b(s(s(s(z))), s(z))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[535, 7665])).
% 3.04/3.29 tff(7667,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7668,plain,
% 3.04/3.29 (((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7669,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.04/3.29 inference(monotonicity,[status(thm)],[7668])).
% 3.04/3.29 tff(7670,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.04/3.29 inference(transitivity,[status(thm)],[7669, 7667])).
% 3.04/3.29 tff(7671,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.29 inference(quant_inst,[status(thm)],[])).
% 3.04/3.29 tff(7672,plain,
% 3.04/3.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.04/3.29 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 3.04/3.29 tff(7673,plain,
% 3.04/3.29 ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7672, 213, 1, 1494, 7666, 2812])).
% 3.04/3.29 tff(7674,plain,
% 3.04/3.29 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[7673, 7660])).
% 3.04/3.29 tff(7675,plain,
% 3.04/3.29 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.29 inference(unit_resolution,[status(thm)],[4243, 7674])).
% 3.04/3.29 tff(7676,plain,
% 3.04/3.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.29 inference(rewrite,[status(thm)],[])).
% 3.04/3.29 tff(7677,plain,
% 3.04/3.29 (((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.30 inference(rewrite,[status(thm)],[])).
% 3.04/3.30 tff(7678,plain,
% 3.04/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))))),
% 3.04/3.30 inference(monotonicity,[status(thm)],[7677])).
% 3.04/3.30 tff(7679,plain,
% 3.04/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.04/3.30 inference(transitivity,[status(thm)],[7678, 7676])).
% 3.04/3.30 tff(7680,plain,
% 3.04/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.04/3.30 inference(quant_inst,[status(thm)],[])).
% 3.04/3.30 tff(7681,plain,
% 3.04/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))),
% 3.04/3.30 inference(modus_ponens,[status(thm)],[7680, 7679])).
% 3.04/3.30 tff(7682,plain,
% 3.04/3.30 ($false),
% 3.04/3.30 inference(unit_resolution,[status(thm)],[7681, 213, 1507, 1065, 7, 831, 2812, 747])).
% 3.04/3.30 tff(7683,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.04/3.30 tff(7684,plain,
% 3.04/3.30 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.30 inference(unit_resolution,[status(thm)],[7683, 7660, 1507, 7, 1494, 2812])).
% 3.04/3.30 tff(7685,plain,
% 3.04/3.30 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.04/3.30 inference(unit_resolution,[status(thm)],[436, 7684])).
% 3.04/3.30 tff(7686,plain,
% 3.04/3.30 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.30 inference(rewrite,[status(thm)],[])).
% 3.15/3.30 tff(7687,plain,
% 3.15/3.30 (((~![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(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.15/3.30 inference(monotonicity,[status(thm)],[7686])).
% 3.15/3.30 tff(7688,plain,
% 3.15/3.30 (((~![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(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.30 inference(transitivity,[status(thm)],[7687, 844])).
% 3.15/3.30 tff(7689,plain,
% 3.15/3.30 ((~![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(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.30 inference(quant_inst,[status(thm)],[])).
% 3.15/3.30 tff(7690,plain,
% 3.15/3.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.30 inference(modus_ponens,[status(thm)],[7689, 7688])).
% 3.15/3.30 tff(7691,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7690, 76, 11, 598, 7685, 7675])).
% 3.15/3.30 tff(7692,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7693,plain,
% 3.15/3.30 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7692, 7658, 7568, 7576, 7574, 7, 10, 7554, 7572])).
% 3.15/3.30 tff(7694,plain,
% 3.15/3.30 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[484, 7693])).
% 3.15/3.30 tff(7695,plain,
% 3.15/3.30 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7614, 7694, 7253, 782, 203])).
% 3.15/3.30 tff(7696,plain,
% 3.15/3.30 (~r(s(s(s(z))), s(z))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[3133, 7580, 7554, 7590, 7576])).
% 3.15/3.30 tff(7697,plain,
% 3.15/3.30 (b(s(s(s(z))), s(z))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[535, 7696])).
% 3.15/3.30 tff(7698,plain,
% 3.15/3.30 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[2935, 155, 10, 2296])).
% 3.15/3.30 tff(7699,plain,
% 3.15/3.30 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[1871, 7698])).
% 3.15/3.30 tff(7700,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[3266, 76, 16, 155, 1027, 2410, 2296])).
% 3.15/3.30 tff(7701,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7702,plain,
% 3.15/3.30 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7701, 155, 1027, 16, 2296])).
% 3.15/3.30 tff(7703,plain,
% 3.15/3.30 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[2750, 7702])).
% 3.15/3.30 tff(7704,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[2745, 7703, 7699, 782, 8])).
% 3.15/3.30 tff(7705,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7706,plain,
% 3.15/3.30 (~r(s(s(s(s(z)))), z)),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7705, 782, 7697, 1027, 16, 7580, 10])).
% 3.15/3.30 tff(7707,plain,
% 3.15/3.30 (b(s(s(s(s(z)))), z)),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[170, 7706])).
% 3.15/3.30 tff(7708,plain,
% 3.15/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.30 inference(rewrite,[status(thm)],[])).
% 3.15/3.30 tff(7709,plain,
% 3.15/3.30 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.30 inference(rewrite,[status(thm)],[])).
% 3.15/3.30 tff(7710,plain,
% 3.15/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.15/3.30 inference(monotonicity,[status(thm)],[7709])).
% 3.15/3.30 tff(7711,plain,
% 3.15/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.30 inference(transitivity,[status(thm)],[7710, 7708])).
% 3.15/3.30 tff(7712,plain,
% 3.15/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.15/3.30 inference(quant_inst,[status(thm)],[])).
% 3.15/3.30 tff(7713,plain,
% 3.15/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.30 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 3.15/3.30 tff(7714,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7713, 213, 1, 191, 203, 467, 464, 2812, 4])).
% 3.15/3.30 tff(7715,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7716,plain,
% 3.15/3.30 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7715, 191, 1, 203, 467, 2812, 4])).
% 3.15/3.30 tff(7717,plain,
% 3.15/3.30 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[338, 7716])).
% 3.15/3.30 tff(7718,plain,
% 3.15/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.30 inference(rewrite,[status(thm)],[])).
% 3.15/3.30 tff(7719,plain,
% 3.15/3.30 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.30 inference(rewrite,[status(thm)],[])).
% 3.15/3.30 tff(7720,plain,
% 3.15/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.15/3.30 inference(monotonicity,[status(thm)],[7719])).
% 3.15/3.30 tff(7721,plain,
% 3.15/3.30 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.30 inference(transitivity,[status(thm)],[7720, 7718])).
% 3.15/3.30 tff(7722,plain,
% 3.15/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.30 inference(quant_inst,[status(thm)],[])).
% 3.15/3.30 tff(7723,plain,
% 3.15/3.30 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.15/3.30 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 3.15/3.30 tff(7724,plain,
% 3.15/3.30 ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7723, 213, 1, 203, 467, 2812, 4])).
% 3.15/3.30 tff(7725,plain,
% 3.15/3.30 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7724, 191])).
% 3.15/3.30 tff(7726,plain,
% 3.15/3.30 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[316, 7725])).
% 3.15/3.30 tff(7727,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[965, 7726, 7717, 5, 382])).
% 3.15/3.30 tff(7728,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7729,plain,
% 3.15/3.30 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7728, 7694, 7572, 7568, 203, 7707, 7658, 7253])).
% 3.15/3.30 tff(7730,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[436, 7729, 7695])).
% 3.15/3.30 tff(7731,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7732,plain,
% 3.15/3.30 (~b(s(z), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7731, 203, 7, 10, 1027, 16])).
% 3.15/3.30 tff(7733,plain,
% 3.15/3.30 (r(s(z), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[796, 7732])).
% 3.15/3.30 tff(7734,plain,
% 3.15/3.30 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[461, 7733, 16, 7570])).
% 3.15/3.30 tff(7735,plain,
% 3.15/3.30 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[250, 7734])).
% 3.15/3.30 tff(7736,plain,
% 3.15/3.30 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[590, 7735, 10, 16, 203, 7733])).
% 3.15/3.30 tff(7737,plain,
% 3.15/3.30 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[596, 7736])).
% 3.15/3.30 tff(7738,plain,
% 3.15/3.30 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[3157, 691, 11, 738])).
% 3.15/3.30 tff(7739,plain,
% 3.15/3.30 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[1042, 7738])).
% 3.15/3.30 tff(7740,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[1093, 76, 2, 117, 691, 1027, 1556])).
% 3.15/3.30 tff(7741,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7742,plain,
% 3.15/3.30 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7741, 691, 117, 2, 1027])).
% 3.15/3.30 tff(7743,plain,
% 3.15/3.30 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[1871, 7742])).
% 3.15/3.30 tff(7744,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[4776, 213, 1507, 468, 203, 2350])).
% 3.15/3.30 tff(7745,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7746,plain,
% 3.15/3.30 ($false),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7745, 7743, 7739, 468, 203])).
% 3.15/3.30 tff(7747,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.30 tff(7748,plain,
% 3.15/3.30 (~r(z, s(s(s(z))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7747, 7737, 203, 7733, 7590, 1027, 7735, 7554])).
% 3.15/3.30 tff(7749,plain,
% 3.15/3.30 (b(z, s(s(s(z))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[581, 7748])).
% 3.15/3.30 tff(7750,plain,
% 3.15/3.30 (~r(z, s(z))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7566, 203, 16, 738, 7253, 10])).
% 3.15/3.30 tff(7751,plain,
% 3.15/3.30 (b(z, s(z))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[370, 7750])).
% 3.15/3.30 tff(7752,plain,
% 3.15/3.30 (~b(s(z), z)),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[7588, 7751, 7, 7253])).
% 3.15/3.30 tff(7753,plain,
% 3.15/3.30 (r(s(z), z)),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[3759, 7752])).
% 3.15/3.30 tff(7754,plain,
% 3.15/3.30 (~r(s(s(s(s(z)))), z)),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[163, 117, 10, 7753])).
% 3.15/3.30 tff(7755,plain,
% 3.15/3.30 (b(s(s(s(s(z)))), z)),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[170, 7754])).
% 3.15/3.30 tff(7756,plain,
% 3.15/3.30 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[714, 706, 16, 117])).
% 3.15/3.30 tff(7757,plain,
% 3.15/3.30 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[316, 7756])).
% 3.15/3.30 tff(7758,plain,
% 3.15/3.30 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[725, 7757, 203, 468])).
% 3.15/3.30 tff(7759,plain,
% 3.15/3.30 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[484, 7758])).
% 3.15/3.30 tff(7760,plain,
% 3.15/3.30 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[2574, 7759, 738, 7753, 706])).
% 3.15/3.30 tff(7761,plain,
% 3.15/3.30 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.30 inference(unit_resolution,[status(thm)],[627, 7760])).
% 3.15/3.30 tff(7762,plain,
% 3.15/3.30 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[3089, 7761, 7, 7755, 468])).
% 3.15/3.31 tff(7763,plain,
% 3.15/3.31 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[819, 7762])).
% 3.15/3.31 tff(7764,plain,
% 3.15/3.31 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[828, 7763, 10, 738, 7759])).
% 3.15/3.31 tff(7765,plain,
% 3.15/3.31 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[338, 7764])).
% 3.15/3.31 tff(7766,plain,
% 3.15/3.31 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[839, 7765, 203, 7757])).
% 3.15/3.31 tff(7767,plain,
% 3.15/3.31 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[436, 7766])).
% 3.15/3.31 tff(7768,plain,
% 3.15/3.31 ($false),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[6833, 76, 738, 7759, 7767, 7763])).
% 3.15/3.31 tff(7769,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(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))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.31 tff(7770,plain,
% 3.15/3.31 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7769, 7735, 203, 10, 7, 7554, 16, 7733])).
% 3.15/3.31 tff(7771,plain,
% 3.15/3.31 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[610, 7770])).
% 3.15/3.31 tff(7772,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7773,plain,
% 3.15/3.31 (((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7774,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z)))))))),
% 3.15/3.31 inference(monotonicity,[status(thm)],[7773])).
% 3.15/3.31 tff(7775,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.31 inference(transitivity,[status(thm)],[7774, 7772])).
% 3.15/3.31 tff(7776,plain,
% 3.15/3.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.31 inference(quant_inst,[status(thm)],[])).
% 3.15/3.31 tff(7777,plain,
% 3.15/3.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z)))))),
% 3.15/3.31 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 3.15/3.31 tff(7778,plain,
% 3.15/3.31 ($false),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7777, 76, 2, 10, 117, 1027, 2296])).
% 3.15/3.31 tff(7779,plain,((~r(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), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.31 tff(7780,plain,
% 3.15/3.31 (~r(s(s(s(z))), z)),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7779, 7733, 10, 7590, 1027])).
% 3.15/3.31 tff(7781,plain,
% 3.15/3.31 (b(s(s(s(z))), z)),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[2303, 7780])).
% 3.15/3.31 tff(7782,plain,
% 3.15/3.31 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[379, 283, 1, 281, 7])).
% 3.15/3.31 tff(7783,plain,
% 3.15/3.31 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[450, 7782])).
% 3.15/3.31 tff(7784,plain,
% 3.15/3.31 (~r(z, s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[3157, 1028, 11, 738])).
% 3.15/3.31 tff(7785,plain,
% 3.15/3.31 (b(z, s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[581, 7784])).
% 3.15/3.31 tff(7786,plain,
% 3.15/3.31 (~b(s(s(s(z))), s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7638, 7785, 281, 1, 283])).
% 3.15/3.31 tff(7787,plain,
% 3.15/3.31 (r(s(s(s(z))), s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[535, 7786])).
% 3.15/3.31 tff(7788,plain,
% 3.15/3.31 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7789,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.15/3.31 inference(monotonicity,[status(thm)],[7788])).
% 3.15/3.31 tff(7790,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.15/3.31 inference(transitivity,[status(thm)],[7789, 4589])).
% 3.15/3.31 tff(7791,plain,
% 3.15/3.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.15/3.31 inference(quant_inst,[status(thm)],[])).
% 3.15/3.31 tff(7792,plain,
% 3.15/3.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.15/3.31 inference(modus_ponens,[status(thm)],[7791, 7790])).
% 3.15/3.31 tff(7793,plain,
% 3.15/3.31 ($false),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7792, 76, 15, 1028, 1027, 7787])).
% 3.15/3.31 tff(7794,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.31 tff(7795,plain,
% 3.15/3.31 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7794, 7783, 1027, 281, 1, 283, 11, 738])).
% 3.15/3.31 tff(7796,plain,
% 3.15/3.31 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[1042, 7795])).
% 3.15/3.31 tff(7797,plain,
% 3.15/3.31 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7745, 7796, 468, 203])).
% 3.15/3.31 tff(7798,plain,
% 3.15/3.31 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[1871, 7797])).
% 3.15/3.31 tff(7799,plain,
% 3.15/3.31 (~r(z, s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7741, 7798, 117, 7662, 1027])).
% 3.15/3.31 tff(7800,plain,
% 3.15/3.31 (b(z, s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[581, 7799])).
% 3.15/3.31 tff(7801,plain,
% 3.15/3.31 (~b(s(s(s(z))), s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7638, 7800, 281, 1, 283])).
% 3.15/3.31 tff(7802,plain,
% 3.15/3.31 (r(s(s(s(z))), s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[535, 7801])).
% 3.15/3.31 tff(7803,plain,
% 3.15/3.31 (~b(s(s(s(z))), z)),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[1515, 7800, 7, 7796])).
% 3.15/3.31 tff(7804,plain,
% 3.15/3.31 (r(s(s(s(z))), z)),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[2303, 7803])).
% 3.15/3.31 tff(7805,plain,
% 3.15/3.31 ($false),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[3133, 7804, 7802, 738, 7662, 11])).
% 3.15/3.31 tff(7806,plain,((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.31 tff(7807,plain,
% 3.15/3.31 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7806, 7737, 7554, 7, 7733, 7568, 7771, 1027, 7735, 203])).
% 3.15/3.31 tff(7808,plain,
% 3.15/3.31 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[279, 7807])).
% 3.15/3.31 tff(7809,plain,
% 3.15/3.31 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[260, 7808, 10, 7590, 7733])).
% 3.15/3.31 tff(7810,plain,
% 3.15/3.31 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[627, 7809])).
% 3.15/3.31 tff(7811,plain,
% 3.15/3.31 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[1515, 1016, 7, 1065])).
% 3.15/3.31 tff(7812,plain,
% 3.15/3.31 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[1042, 7811])).
% 3.15/3.31 tff(7813,plain,
% 3.15/3.31 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7814,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.15/3.31 inference(monotonicity,[status(thm)],[7813])).
% 3.15/3.31 tff(7815,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.15/3.31 inference(transitivity,[status(thm)],[7814, 3336])).
% 3.15/3.31 tff(7816,plain,
% 3.15/3.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(quant_inst,[status(thm)],[])).
% 3.15/3.31 tff(7817,plain,
% 3.15/3.31 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.15/3.31 inference(modus_ponens,[status(thm)],[7816, 7815])).
% 3.15/3.31 tff(7818,plain,
% 3.15/3.31 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7817, 76, 11, 7812, 598])).
% 3.15/3.31 tff(7819,plain,
% 3.15/3.31 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[653, 7818])).
% 3.15/3.31 tff(7820,plain,
% 3.15/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7821,plain,
% 3.15/3.31 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7822,plain,
% 3.15/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.15/3.31 inference(monotonicity,[status(thm)],[7821])).
% 3.15/3.31 tff(7823,plain,
% 3.15/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.31 inference(transitivity,[status(thm)],[7822, 7820])).
% 3.15/3.31 tff(7824,plain,
% 3.15/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.15/3.31 inference(quant_inst,[status(thm)],[])).
% 3.15/3.31 tff(7825,plain,
% 3.15/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.15/3.31 inference(modus_ponens,[status(thm)],[7824, 7823])).
% 3.15/3.31 tff(7826,plain,
% 3.15/3.31 ($false),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7825, 213, 1, 281, 1065, 7819, 2812, 1016])).
% 3.15/3.31 tff(7827,plain,((~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.31 tff(7828,plain,
% 3.15/3.31 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7827, 7810, 7568, 7781, 7771, 7737, 7749, 7])).
% 3.15/3.31 tff(7829,plain,
% 3.15/3.31 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[3589, 7810, 7, 7781, 7749])).
% 3.15/3.31 tff(7830,plain,
% 3.15/3.31 ($false),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[484, 7829, 7828])).
% 3.15/3.31 tff(7831,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.31 tff(7832,plain,
% 3.15/3.31 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7831, 16, 10, 1027, 7])).
% 3.15/3.31 tff(7833,plain,
% 3.15/3.31 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[153, 7832])).
% 3.15/3.31 tff(7834,plain,
% 3.15/3.31 (~b(z, s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7588, 3771, 7, 7253])).
% 3.15/3.31 tff(7835,plain,
% 3.15/3.31 (r(z, s(z))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[370, 7834])).
% 3.15/3.31 tff(7836,plain,
% 3.15/3.31 (~r(z, s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7283, 7835, 10, 1027, 16])).
% 3.15/3.31 tff(7837,plain,
% 3.15/3.31 (b(z, s(s(s(z))))),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[581, 7836])).
% 3.15/3.31 tff(7838,plain,
% 3.15/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7839,plain,
% 3.15/3.31 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7840,plain,
% 3.15/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.15/3.31 inference(monotonicity,[status(thm)],[7839])).
% 3.15/3.31 tff(7841,plain,
% 3.15/3.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.31 inference(transitivity,[status(thm)],[7840, 7838])).
% 3.15/3.31 tff(7842,plain,
% 3.15/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(quant_inst,[status(thm)],[])).
% 3.15/3.31 tff(7843,plain,
% 3.15/3.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.15/3.31 inference(modus_ponens,[status(thm)],[7842, 7841])).
% 3.15/3.31 tff(7844,plain,
% 3.15/3.31 ($false),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7843, 213, 3771, 1065, 7, 7253, 1016])).
% 3.15/3.31 tff(7845,plain,((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.31 tff(7846,plain,
% 3.15/3.31 (~b(s(s(s(z))), z)),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[7845, 3771, 7837, 7])).
% 3.15/3.31 tff(7847,plain,
% 3.15/3.31 (r(s(s(s(z))), z)),
% 3.15/3.31 inference(unit_resolution,[status(thm)],[2303, 7846])).
% 3.15/3.31 tff(7848,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7849,plain,
% 3.15/3.31 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.31 inference(rewrite,[status(thm)],[])).
% 3.15/3.31 tff(7850,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(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(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.31 inference(monotonicity,[status(thm)],[7849])).
% 3.15/3.31 tff(7851,plain,
% 3.15/3.31 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(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(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.32 inference(transitivity,[status(thm)],[7850, 7848])).
% 3.15/3.32 tff(7852,plain,
% 3.15/3.32 ((~![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(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))))),
% 3.15/3.32 inference(quant_inst,[status(thm)],[])).
% 3.15/3.32 tff(7853,plain,
% 3.15/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 3.15/3.32 inference(modus_ponens,[status(thm)],[7852, 7851])).
% 3.15/3.32 tff(7854,plain,
% 3.15/3.32 ($false),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7853, 76, 350, 10, 6, 738, 15])).
% 3.15/3.32 tff(7855,plain,((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.32 tff(7856,plain,
% 3.15/3.32 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7855, 7835, 10, 7833, 7554])).
% 3.15/3.32 tff(7857,plain,
% 3.15/3.32 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[450, 7856])).
% 3.15/3.32 tff(7858,plain,
% 3.15/3.32 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2894, 7833, 10, 7554])).
% 3.15/3.32 tff(7859,plain,
% 3.15/3.32 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[250, 7858])).
% 3.15/3.32 tff(7860,plain,
% 3.15/3.32 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2493, 506, 7, 1065])).
% 3.15/3.32 tff(7861,plain,
% 3.15/3.32 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1042, 7860])).
% 3.15/3.32 tff(7862,plain,
% 3.15/3.32 (~b(s(s(s(z))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7428, 506, 7253, 3])).
% 3.15/3.32 tff(7863,plain,
% 3.15/3.32 (r(s(s(s(z))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[535, 7862])).
% 3.15/3.32 tff(7864,plain,
% 3.15/3.32 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[4278, 12, 10, 16, 2296])).
% 3.15/3.32 tff(7865,plain,
% 3.15/3.32 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1871, 7864])).
% 3.15/3.32 tff(7866,plain,
% 3.15/3.32 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[4642, 7865, 468, 506])).
% 3.15/3.32 tff(7867,plain,
% 3.15/3.32 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2750, 7866])).
% 3.15/3.32 tff(7868,plain,
% 3.15/3.32 (((~![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(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.15/3.32 inference(rewrite,[status(thm)],[])).
% 3.15/3.32 tff(7869,plain,
% 3.15/3.32 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.15/3.32 inference(rewrite,[status(thm)],[])).
% 3.15/3.32 tff(7870,plain,
% 3.15/3.32 (((~![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(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.15/3.32 inference(monotonicity,[status(thm)],[7869])).
% 3.15/3.32 tff(7871,plain,
% 3.15/3.32 (((~![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(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.15/3.32 inference(transitivity,[status(thm)],[7870, 7868])).
% 3.15/3.32 tff(7872,plain,
% 3.15/3.32 ((~![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(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.32 inference(quant_inst,[status(thm)],[])).
% 3.15/3.32 tff(7873,plain,
% 3.15/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.15/3.32 inference(modus_ponens,[status(thm)],[7872, 7871])).
% 3.15/3.32 tff(7874,plain,
% 3.15/3.32 ($false),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7873, 76, 16, 6, 1028, 12, 7867])).
% 3.15/3.32 tff(7875,plain,((~r(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(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.32 tff(7876,plain,
% 3.15/3.32 ($false),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7875, 7863, 7861, 6, 16, 468, 506, 10, 2296])).
% 3.15/3.32 tff(7877,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.32 tff(7878,plain,
% 3.15/3.32 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7877, 7847, 16, 7859, 10, 7833, 7857, 7, 7837])).
% 3.15/3.32 tff(7879,plain,
% 3.15/3.32 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[596, 7878])).
% 3.15/3.32 tff(7880,plain,
% 3.15/3.32 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1349, 76, 10, 7879, 7833, 7847])).
% 3.15/3.32 tff(7881,plain,
% 3.15/3.32 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1871, 7880])).
% 3.15/3.32 tff(7882,plain,
% 3.15/3.32 (~r(s(z), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[358, 7835, 10, 16])).
% 3.15/3.32 tff(7883,plain,
% 3.15/3.32 (b(s(z), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[796, 7882])).
% 3.15/3.32 tff(7884,plain,
% 3.15/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.15/3.32 inference(rewrite,[status(thm)],[])).
% 3.15/3.32 tff(7885,plain,
% 3.15/3.32 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.15/3.32 inference(rewrite,[status(thm)],[])).
% 3.15/3.32 tff(7886,plain,
% 3.15/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))))),
% 3.15/3.32 inference(monotonicity,[status(thm)],[7885])).
% 3.15/3.32 tff(7887,plain,
% 3.15/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.15/3.32 inference(transitivity,[status(thm)],[7886, 7884])).
% 3.15/3.32 tff(7888,plain,
% 3.15/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.15/3.32 inference(quant_inst,[status(thm)],[])).
% 3.15/3.32 tff(7889,plain,
% 3.15/3.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))),
% 3.15/3.32 inference(modus_ponens,[status(thm)],[7888, 7887])).
% 3.15/3.32 tff(7890,plain,
% 3.15/3.32 ($false),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7889, 213, 3771, 7883, 7857, 7837, 7, 7859, 7881])).
% 3.15/3.32 tff(7891,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.32 tff(7892,plain,
% 3.15/3.32 (~b(s(z), z)),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7891, 16, 10, 7, 1027])).
% 3.15/3.32 tff(7893,plain,
% 3.15/3.32 (r(s(z), z)),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[3759, 7892])).
% 3.15/3.32 tff(7894,plain,
% 3.15/3.32 (~r(s(s(s(s(z)))), z)),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1960, 7893, 7554, 7833, 16])).
% 3.15/3.32 tff(7895,plain,
% 3.15/3.32 (b(s(s(s(s(z)))), z)),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[170, 7894])).
% 3.15/3.32 tff(7896,plain,
% 3.15/3.32 (~r(z, s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7283, 691, 10, 1027, 16])).
% 3.15/3.32 tff(7897,plain,
% 3.15/3.32 (b(z, s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[370, 7896])).
% 3.15/3.32 tff(7898,plain,
% 3.15/3.32 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7261, 7897, 7])).
% 3.15/3.32 tff(7899,plain,
% 3.15/3.32 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[450, 7898])).
% 3.15/3.32 tff(7900,plain,
% 3.15/3.32 (((~![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(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.32 inference(rewrite,[status(thm)],[])).
% 3.15/3.32 tff(7901,plain,
% 3.15/3.32 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(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(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.32 inference(rewrite,[status(thm)],[])).
% 3.15/3.32 tff(7902,plain,
% 3.15/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))))),
% 3.15/3.32 inference(monotonicity,[status(thm)],[7901])).
% 3.15/3.32 tff(7903,plain,
% 3.15/3.32 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.32 inference(transitivity,[status(thm)],[7902, 7900])).
% 3.15/3.32 tff(7904,plain,
% 3.15/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(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(s(z))))))))))),
% 3.15/3.32 inference(quant_inst,[status(thm)],[])).
% 3.15/3.32 tff(7905,plain,
% 3.15/3.32 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))),
% 3.15/3.32 inference(modus_ponens,[status(thm)],[7904, 7903])).
% 3.15/3.32 tff(7906,plain,
% 3.15/3.32 ($false),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7905, 76, 16, 6, 15, 1027, 2410])).
% 3.15/3.32 tff(7907,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.32 tff(7908,plain,
% 3.15/3.32 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7907, 7899, 7833, 16, 1027])).
% 3.15/3.32 tff(7909,plain,
% 3.15/3.32 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2750, 7908])).
% 3.15/3.32 tff(7910,plain,
% 3.15/3.32 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2909, 7909, 10, 7833, 7, 16, 7893, 1016])).
% 3.15/3.32 tff(7911,plain,
% 3.15/3.32 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[596, 7910])).
% 3.15/3.32 tff(7912,plain,
% 3.15/3.32 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[3157, 7911, 691, 7554])).
% 3.15/3.32 tff(7913,plain,
% 3.15/3.32 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1042, 7912])).
% 3.15/3.32 tff(7914,plain,
% 3.15/3.32 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[5346, 7913, 7859, 7909])).
% 3.15/3.32 tff(7915,plain,
% 3.15/3.32 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1871, 7914])).
% 3.15/3.32 tff(7916,plain,
% 3.15/3.32 ($false),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[3049, 76, 10, 7833, 7554, 691, 7915])).
% 3.15/3.32 tff(7917,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.32 tff(7918,plain,
% 3.15/3.32 (~r(z, s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7917, 1016, 7, 16, 10, 1027])).
% 3.15/3.32 tff(7919,plain,
% 3.15/3.32 (b(z, s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[581, 7918])).
% 3.15/3.32 tff(7920,plain,
% 3.15/3.32 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2313, 7919, 1016, 7895])).
% 3.15/3.32 tff(7921,plain,
% 3.15/3.32 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2750, 7920])).
% 3.15/3.32 tff(7922,plain,
% 3.15/3.32 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2797, 7919, 7, 1016])).
% 3.15/3.32 tff(7923,plain,
% 3.15/3.32 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[596, 7922])).
% 3.15/3.32 tff(7924,plain,
% 3.15/3.32 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1515, 7919, 7, 1016])).
% 3.15/3.32 tff(7925,plain,
% 3.15/3.32 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1042, 7924])).
% 3.15/3.32 tff(7926,plain,
% 3.15/3.32 ($false),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2684, 7925, 7923, 7833, 7921])).
% 3.15/3.32 tff(7927,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.32 tff(7928,plain,
% 3.15/3.32 (~b(s(s(s(z))), z)),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7927, 16, 7, 10, 1027])).
% 3.15/3.32 tff(7929,plain,
% 3.15/3.32 (r(s(s(s(z))), z)),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2303, 7928])).
% 3.15/3.32 tff(7930,plain,
% 3.15/3.32 ($false),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2033, 76, 2, 691, 1027, 2296])).
% 3.15/3.32 tff(7931,plain,((~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.32 tff(7932,plain,
% 3.15/3.32 (~r(z, s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7931, 7893, 1027, 7929])).
% 3.15/3.32 tff(7933,plain,
% 3.15/3.32 (b(z, s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[581, 7932])).
% 3.15/3.32 tff(7934,plain,
% 3.15/3.32 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7877, 506, 16, 7859, 10, 7833, 7929, 7, 7933])).
% 3.15/3.32 tff(7935,plain,
% 3.15/3.32 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[450, 7934])).
% 3.15/3.32 tff(7936,plain,
% 3.15/3.32 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7907, 7935, 7833, 16, 1027])).
% 3.15/3.32 tff(7937,plain,
% 3.15/3.32 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2750, 7936])).
% 3.15/3.32 tff(7938,plain,
% 3.15/3.32 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[4642, 7937, 7859, 506])).
% 3.15/3.32 tff(7939,plain,
% 3.15/3.32 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1871, 7938])).
% 3.15/3.32 tff(7940,plain,
% 3.15/3.32 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[4260, 7939, 10, 7833, 7933, 7, 7859, 7929, 7554])).
% 3.15/3.32 tff(7941,plain,
% 3.15/3.32 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[316, 7940])).
% 3.15/3.32 tff(7942,plain,
% 3.15/3.32 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[2493, 506, 7, 7933])).
% 3.15/3.32 tff(7943,plain,
% 3.15/3.32 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[1042, 7942])).
% 3.15/3.32 tff(7944,plain,
% 3.15/3.32 (~r(s(z), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7779, 7929, 10, 7893, 1027])).
% 3.15/3.32 tff(7945,plain,
% 3.15/3.32 (b(s(z), s(s(s(s(z)))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[796, 7944])).
% 3.15/3.32 tff(7946,plain,
% 3.15/3.32 (~r(s(s(s(z))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7875, 7943, 7833, 16, 7859, 506, 10, 7929])).
% 3.15/3.32 tff(7947,plain,
% 3.15/3.32 (b(s(s(s(z))), s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[535, 7946])).
% 3.15/3.32 tff(7948,plain,
% 3.15/3.32 (~r(z, s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7855, 7935, 10, 7833, 7554])).
% 3.15/3.32 tff(7949,plain,
% 3.15/3.32 (b(z, s(z))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[370, 7948])).
% 3.15/3.32 tff(7950,plain,
% 3.15/3.32 (~r(z, s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7931, 2, 1027, 2296])).
% 3.15/3.32 tff(7951,plain,
% 3.15/3.32 (b(z, s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[581, 7950])).
% 3.15/3.32 tff(7952,plain,
% 3.15/3.32 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7638, 281, 8, 1, 7951])).
% 3.15/3.32 tff(7953,plain,
% 3.15/3.32 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[279, 7952])).
% 3.15/3.32 tff(7954,plain,
% 3.15/3.32 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[7648, 7953, 1027, 2, 2296])).
% 3.15/3.32 tff(7955,plain,
% 3.15/3.32 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.32 inference(unit_resolution,[status(thm)],[653, 7954])).
% 3.15/3.32 tff(7956,plain,
% 3.15/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.32 inference(rewrite,[status(thm)],[])).
% 3.15/3.32 tff(7957,plain,
% 3.15/3.32 (((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.32 inference(rewrite,[status(thm)],[])).
% 3.15/3.32 tff(7958,plain,
% 3.15/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 3.15/3.32 inference(monotonicity,[status(thm)],[7957])).
% 3.15/3.32 tff(7959,plain,
% 3.15/3.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.33 inference(transitivity,[status(thm)],[7958, 7956])).
% 3.15/3.33 tff(7960,plain,
% 3.15/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.15/3.33 inference(quant_inst,[status(thm)],[])).
% 3.15/3.33 tff(7961,plain,
% 3.15/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 3.15/3.33 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 3.15/3.33 tff(7962,plain,
% 3.15/3.33 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7961, 213, 1, 506, 281, 7955, 7, 8])).
% 3.15/3.33 tff(7963,plain,
% 3.15/3.33 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[484, 7962])).
% 3.15/3.33 tff(7964,plain,
% 3.15/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(7965,plain,
% 3.15/3.33 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(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(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(7966,plain,
% 3.15/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.33 inference(monotonicity,[status(thm)],[7965])).
% 3.15/3.33 tff(7967,plain,
% 3.15/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(transitivity,[status(thm)],[7966, 7964])).
% 3.15/3.33 tff(7968,plain,
% 3.15/3.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.15/3.33 inference(quant_inst,[status(thm)],[])).
% 3.15/3.33 tff(7969,plain,
% 3.15/3.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.15/3.33 inference(modus_ponens,[status(thm)],[7968, 7967])).
% 3.15/3.33 tff(7970,plain,
% 3.15/3.33 ($false),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7969, 76, 16, 6, 7953, 7963, 1434])).
% 3.15/3.33 tff(7971,plain,((~b(s(s(s(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(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.33 tff(7972,plain,
% 3.15/3.33 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7971, 7949, 7833, 16, 506, 7, 7947, 1027, 7893, 7929, 7945, 7941])).
% 3.15/3.33 tff(7973,plain,
% 3.15/3.33 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[610, 7972])).
% 3.15/3.33 tff(7974,plain,
% 3.15/3.33 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[2574, 706, 738, 2, 13])).
% 3.15/3.33 tff(7975,plain,
% 3.15/3.33 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[484, 7974])).
% 3.15/3.33 tff(7976,plain,
% 3.15/3.33 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7504, 7351, 4, 7975])).
% 3.15/3.33 tff(7977,plain,
% 3.15/3.33 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[279, 7976])).
% 3.15/3.33 tff(7978,plain,
% 3.15/3.33 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7648, 7977, 1027, 2, 2296])).
% 3.15/3.33 tff(7979,plain,
% 3.15/3.33 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[653, 7978])).
% 3.15/3.33 tff(7980,plain,
% 3.15/3.33 ($false),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[1385, 213, 506, 7979, 7975, 7351])).
% 3.15/3.33 tff(7981,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.33 tff(7982,plain,
% 3.15/3.33 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7981, 7973, 1027, 7893, 7929, 7253, 7935, 7943, 7554, 506])).
% 3.15/3.33 tff(7983,plain,
% 3.15/3.33 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[627, 7982])).
% 3.15/3.33 tff(7984,plain,
% 3.15/3.33 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7349, 76, 7935, 7973, 7943, 1027])).
% 3.15/3.33 tff(7985,plain,
% 3.15/3.33 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[436, 7984])).
% 3.15/3.33 tff(7986,plain,
% 3.15/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(7987,plain,
% 3.15/3.33 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(7988,plain,
% 3.15/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.15/3.33 inference(monotonicity,[status(thm)],[7987])).
% 3.15/3.33 tff(7989,plain,
% 3.15/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.33 inference(transitivity,[status(thm)],[7988, 7986])).
% 3.15/3.33 tff(7990,plain,
% 3.15/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.33 inference(quant_inst,[status(thm)],[])).
% 3.15/3.33 tff(7991,plain,
% 3.15/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.15/3.33 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 3.15/3.33 tff(7992,plain,
% 3.15/3.33 ($false),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7991, 213, 7949, 7945, 7, 7859, 7985, 7983, 7941])).
% 3.15/3.33 tff(7993,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.33 tff(7994,plain,
% 3.15/3.33 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7993, 16, 1027, 7, 10])).
% 3.15/3.33 tff(7995,plain,
% 3.15/3.33 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[596, 7994])).
% 3.15/3.33 tff(7996,plain,
% 3.15/3.33 (~r(s(s(s(z))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[3133, 7995, 7554, 7893, 7929])).
% 3.15/3.33 tff(7997,plain,
% 3.15/3.33 (b(s(s(s(z))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[535, 7996])).
% 3.15/3.33 tff(7998,plain,
% 3.15/3.33 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[4169, 7997, 7833, 7945, 7995, 1027])).
% 3.15/3.33 tff(7999,plain,
% 3.15/3.33 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[1871, 7998])).
% 3.15/3.33 tff(8000,plain,
% 3.15/3.33 ($false),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[1349, 76, 10, 7995, 7833, 7929, 7999])).
% 3.15/3.33 tff(8001,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.33 tff(8002,plain,
% 3.15/3.33 (~r(s(s(s(s(z)))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[8001, 1027, 10, 7])).
% 3.15/3.33 tff(8003,plain,
% 3.15/3.33 (b(s(s(s(s(z)))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[115, 8002])).
% 3.15/3.33 tff(8004,plain,
% 3.15/3.33 (~b(z, s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7845, 3771, 1016, 7])).
% 3.15/3.33 tff(8005,plain,
% 3.15/3.33 (r(z, s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[581, 8004])).
% 3.15/3.33 tff(8006,plain,
% 3.15/3.33 (~r(s(s(s(z))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[2880, 691, 350, 1027])).
% 3.15/3.33 tff(8007,plain,
% 3.15/3.33 (b(s(s(s(z))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[533, 110, 8006, 528])).
% 3.15/3.33 tff(8008,plain,
% 3.15/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(8009,plain,
% 3.15/3.33 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(8010,plain,
% 3.15/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.15/3.33 inference(monotonicity,[status(thm)],[8009])).
% 3.15/3.33 tff(8011,plain,
% 3.15/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.33 inference(transitivity,[status(thm)],[8010, 8008])).
% 3.15/3.33 tff(8012,plain,
% 3.15/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.15/3.33 inference(quant_inst,[status(thm)],[])).
% 3.15/3.33 tff(8013,plain,
% 3.15/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.15/3.33 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 3.15/3.33 tff(8014,plain,
% 3.15/3.33 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[8013, 213, 3, 8007, 4])).
% 3.15/3.33 tff(8015,plain,
% 3.15/3.33 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[1042, 8014])).
% 3.15/3.33 tff(8016,plain,
% 3.15/3.33 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(8017,plain,
% 3.15/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.15/3.33 inference(monotonicity,[status(thm)],[8016])).
% 3.15/3.33 tff(8018,plain,
% 3.15/3.33 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.33 inference(transitivity,[status(thm)],[8017, 7421])).
% 3.15/3.33 tff(8019,plain,
% 3.15/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(quant_inst,[status(thm)],[])).
% 3.15/3.33 tff(8020,plain,
% 3.15/3.33 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.15/3.33 inference(modus_ponens,[status(thm)],[8019, 8018])).
% 3.15/3.33 tff(8021,plain,
% 3.15/3.33 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[8020, 213, 3, 8007, 4])).
% 3.15/3.33 tff(8022,plain,
% 3.15/3.33 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[596, 8021])).
% 3.15/3.33 tff(8023,plain,
% 3.15/3.33 ($false),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[3155, 76, 8022, 738, 8015, 691])).
% 3.15/3.33 tff(8024,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.33 tff(8025,plain,
% 3.15/3.33 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[8024, 7835, 7253, 1027, 738, 8005])).
% 3.15/3.33 tff(8026,plain,
% 3.15/3.33 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[450, 8025])).
% 3.15/3.33 tff(8027,plain,
% 3.15/3.33 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(8028,plain,
% 3.15/3.33 (((~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.33 tff(8029,plain,
% 3.15/3.33 (((~![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(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.15/3.33 inference(monotonicity,[status(thm)],[8028])).
% 3.15/3.33 tff(8030,plain,
% 3.15/3.33 (((~![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(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.33 inference(transitivity,[status(thm)],[8029, 8027])).
% 3.15/3.33 tff(8031,plain,
% 3.15/3.33 ((~![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(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.33 inference(quant_inst,[status(thm)],[])).
% 3.15/3.33 tff(8032,plain,
% 3.15/3.33 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.15/3.33 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 3.15/3.33 tff(8033,plain,
% 3.15/3.33 ($false),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[8032, 76, 7835, 738, 8026, 8005, 1027])).
% 3.15/3.33 tff(8034,plain,((~b(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.33 tff(8035,plain,
% 3.15/3.33 (~b(s(z), z)),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[8034, 1016, 1027, 7554, 7])).
% 3.15/3.33 tff(8036,plain,
% 3.15/3.33 (r(s(z), z)),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[3759, 8035])).
% 3.15/3.33 tff(8037,plain,
% 3.15/3.33 ($false),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[1492, 76, 10, 11, 738, 5, 691])).
% 3.15/3.33 tff(8038,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.33 tff(8039,plain,
% 3.15/3.33 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[8038, 11, 10, 738, 691])).
% 3.15/3.33 tff(8040,plain,
% 3.15/3.33 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[250, 8039])).
% 3.15/3.33 tff(8041,plain,
% 3.15/3.33 (~b(s(z), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[3405, 8040, 4, 203])).
% 3.15/3.33 tff(8042,plain,
% 3.15/3.33 (~r(s(z), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[7747, 8040, 691, 203, 2, 1027, 11, 738])).
% 3.15/3.33 tff(8043,plain,
% 3.15/3.33 ($false),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[796, 8042, 8041])).
% 3.15/3.33 tff(8044,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.33 tff(8045,plain,
% 3.15/3.33 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[8044, 203, 691, 8036, 1027, 7554, 7253, 10])).
% 3.15/3.33 tff(8046,plain,
% 3.15/3.33 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[596, 8045])).
% 3.15/3.33 tff(8047,plain,
% 3.15/3.33 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[3462, 8046, 10, 203, 7])).
% 3.15/3.33 tff(8048,plain,
% 3.15/3.33 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[1042, 8047])).
% 3.15/3.33 tff(8049,plain,
% 3.15/3.33 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[3486, 8048, 10, 7554, 691])).
% 3.15/3.33 tff(8050,plain,
% 3.15/3.33 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[1871, 8049])).
% 3.15/3.33 tff(8051,plain,
% 3.15/3.33 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[3622, 8050, 203, 8046])).
% 3.15/3.33 tff(8052,plain,
% 3.15/3.33 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[250, 8051])).
% 3.15/3.33 tff(8053,plain,
% 3.15/3.33 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[3543, 8052, 10, 7554, 691])).
% 3.15/3.33 tff(8054,plain,
% 3.15/3.33 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.33 inference(unit_resolution,[status(thm)],[2750, 8053])).
% 3.15/3.33 tff(8055,plain,
% 3.15/3.33 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.15/3.33 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8056,plain,
% 3.15/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.15/3.34 inference(monotonicity,[status(thm)],[8055])).
% 3.15/3.34 tff(8057,plain,
% 3.15/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.15/3.34 inference(transitivity,[status(thm)],[8056, 7413])).
% 3.15/3.34 tff(8058,plain,
% 3.15/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.15/3.34 inference(quant_inst,[status(thm)],[])).
% 3.15/3.34 tff(8059,plain,
% 3.15/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.15/3.34 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 3.15/3.34 tff(8060,plain,
% 3.15/3.34 ($false),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8059, 213, 284, 3, 203, 4])).
% 3.15/3.34 tff(8061,plain,((~b(s(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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.34 tff(8062,plain,
% 3.15/3.34 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8061, 203, 7253, 8003])).
% 3.15/3.34 tff(8063,plain,
% 3.15/3.34 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[450, 8062])).
% 3.15/3.34 tff(8064,plain,
% 3.15/3.34 (~r(s(s(s(z))), s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[4959, 8052, 8048, 8063, 8050])).
% 3.15/3.34 tff(8065,plain,
% 3.15/3.34 (b(s(s(s(z))), s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[535, 8064])).
% 3.15/3.34 tff(8066,plain,
% 3.15/3.34 (~b(s(z), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[2745, 8065, 8050, 8054])).
% 3.15/3.34 tff(8067,plain,
% 3.15/3.34 (r(s(z), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[796, 8066])).
% 3.15/3.34 tff(8068,plain,
% 3.15/3.34 (~r(s(s(s(s(z)))), z)),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[163, 8067, 10, 8036])).
% 3.15/3.34 tff(8069,plain,
% 3.15/3.34 (b(s(s(s(s(z)))), z)),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[170, 8068])).
% 3.15/3.34 tff(8070,plain,
% 3.15/3.34 (~r(z, s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8032, 76, 7554, 8063, 691, 1027])).
% 3.15/3.34 tff(8071,plain,
% 3.15/3.34 (b(z, s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[370, 8070])).
% 3.15/3.34 tff(8072,plain,
% 3.15/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.34 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8073,plain,
% 3.15/3.34 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.34 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8074,plain,
% 3.15/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 3.15/3.34 inference(monotonicity,[status(thm)],[8073])).
% 3.15/3.34 tff(8075,plain,
% 3.15/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.34 inference(transitivity,[status(thm)],[8074, 8072])).
% 3.15/3.34 tff(8076,plain,
% 3.15/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.15/3.34 inference(quant_inst,[status(thm)],[])).
% 3.15/3.34 tff(8077,plain,
% 3.15/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))),
% 3.15/3.34 inference(modus_ponens,[status(thm)],[8076, 8075])).
% 3.15/3.34 tff(8078,plain,
% 3.15/3.34 ($false),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8077, 213, 8071, 8069, 8046, 203, 7253, 1016, 8050])).
% 3.15/3.34 tff(8079,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.34 tff(8080,plain,
% 3.15/3.34 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8079, 691, 10, 1016, 7, 1027])).
% 3.15/3.34 tff(8081,plain,
% 3.15/3.34 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[153, 8080])).
% 3.15/3.34 tff(8082,plain,
% 3.15/3.34 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[2894, 8081, 10, 7554])).
% 3.15/3.34 tff(8083,plain,
% 3.15/3.34 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[250, 8082])).
% 3.15/3.34 tff(8084,plain,
% 3.15/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.15/3.34 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8085,plain,
% 3.15/3.34 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.15/3.34 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8086,plain,
% 3.15/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.15/3.34 inference(monotonicity,[status(thm)],[8085])).
% 3.15/3.34 tff(8087,plain,
% 3.15/3.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.15/3.34 inference(transitivity,[status(thm)],[8086, 8084])).
% 3.15/3.34 tff(8088,plain,
% 3.15/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.34 inference(quant_inst,[status(thm)],[])).
% 3.15/3.34 tff(8089,plain,
% 3.15/3.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.15/3.34 inference(modus_ponens,[status(thm)],[8088, 8087])).
% 3.15/3.34 tff(8090,plain,
% 3.15/3.34 ($false),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8089, 213, 782, 284, 468, 4])).
% 3.15/3.34 tff(8091,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.34 tff(8092,plain,
% 3.15/3.34 (~b(s(z), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8091, 8083, 8003, 7253])).
% 3.15/3.34 tff(8093,plain,
% 3.15/3.34 (r(s(z), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[796, 8092])).
% 3.15/3.34 tff(8094,plain,
% 3.15/3.34 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[7741, 8093, 691, 8036, 1027])).
% 3.15/3.34 tff(8095,plain,
% 3.15/3.34 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[1871, 8094])).
% 3.15/3.34 tff(8096,plain,
% 3.15/3.34 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[7741, 117, 691, 2, 1027])).
% 3.15/3.34 tff(8097,plain,
% 3.15/3.34 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[1871, 8096])).
% 3.15/3.34 tff(8098,plain,
% 3.15/3.34 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[4642, 8097, 468, 506])).
% 3.15/3.34 tff(8099,plain,
% 3.15/3.34 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[2750, 8098])).
% 3.15/3.34 tff(8100,plain,
% 3.15/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.34 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8101,plain,
% 3.15/3.34 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(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(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.34 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8102,plain,
% 3.15/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))))),
% 3.15/3.34 inference(monotonicity,[status(thm)],[8101])).
% 3.15/3.34 tff(8103,plain,
% 3.15/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.15/3.34 inference(transitivity,[status(thm)],[8102, 8100])).
% 3.15/3.34 tff(8104,plain,
% 3.15/3.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)))),
% 3.15/3.34 inference(quant_inst,[status(thm)],[])).
% 3.15/3.34 tff(8105,plain,
% 3.15/3.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))),
% 3.15/3.34 inference(modus_ponens,[status(thm)],[8104, 8103])).
% 3.15/3.34 tff(8106,plain,
% 3.15/3.34 ($false),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8105, 76, 2, 10, 117, 1027, 8099])).
% 3.15/3.34 tff(8107,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.34 tff(8108,plain,
% 3.15/3.34 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8107, 8093, 10, 1027, 8083, 8036, 691])).
% 3.15/3.34 tff(8109,plain,
% 3.15/3.34 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[596, 8108])).
% 3.15/3.34 tff(8110,plain,
% 3.15/3.34 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[3157, 8109, 691, 7554])).
% 3.15/3.34 tff(8111,plain,
% 3.15/3.34 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[1042, 8110])).
% 3.15/3.34 tff(8112,plain,
% 3.15/3.34 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[5346, 8111, 8083, 8095])).
% 3.15/3.34 tff(8113,plain,
% 3.15/3.34 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[2750, 8112])).
% 3.15/3.34 tff(8114,plain,
% 3.15/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.34 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8115,plain,
% 3.15/3.34 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.34 inference(rewrite,[status(thm)],[])).
% 3.15/3.34 tff(8116,plain,
% 3.15/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))))),
% 3.15/3.34 inference(monotonicity,[status(thm)],[8115])).
% 3.15/3.34 tff(8117,plain,
% 3.15/3.34 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.34 inference(transitivity,[status(thm)],[8116, 8114])).
% 3.15/3.34 tff(8118,plain,
% 3.15/3.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))),
% 3.15/3.34 inference(quant_inst,[status(thm)],[])).
% 3.15/3.34 tff(8119,plain,
% 3.15/3.34 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 3.15/3.34 inference(modus_ponens,[status(thm)],[8118, 8117])).
% 3.15/3.34 tff(8120,plain,
% 3.15/3.34 ($false),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8119, 76, 10, 8109, 7554, 691, 8113])).
% 3.15/3.34 tff(8121,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.34 tff(8122,plain,
% 3.15/3.34 (~r(z, s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8121, 1016, 1027, 10, 7])).
% 3.15/3.34 tff(8123,plain,
% 3.15/3.34 (b(z, s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[581, 8122])).
% 3.15/3.34 tff(8124,plain,
% 3.15/3.34 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[1515, 8123, 7, 1016])).
% 3.15/3.34 tff(8125,plain,
% 3.15/3.34 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[1042, 8124])).
% 3.15/3.34 tff(8126,plain,
% 3.15/3.34 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[2797, 8123, 7, 1016])).
% 3.15/3.34 tff(8127,plain,
% 3.15/3.34 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[596, 8126])).
% 3.15/3.34 tff(8128,plain,
% 3.15/3.34 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[2894, 5, 10, 7554])).
% 3.15/3.34 tff(8129,plain,
% 3.15/3.34 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[153, 8128])).
% 3.15/3.34 tff(8130,plain,
% 3.15/3.34 ($false),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[2622, 213, 191, 1065, 7, 203, 1016])).
% 3.15/3.34 tff(8131,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.34 tff(8132,plain,
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% 3.15/3.34 inference(unit_resolution,[status(thm)],[8131, 8129, 7, 8123, 1016])).
% 3.15/3.34 tff(8133,plain,
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% 3.15/3.34 inference(unit_resolution,[status(thm)],[170, 8132])).
% 3.15/3.34 tff(8134,plain,
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% 3.15/3.34 inference(unit_resolution,[status(thm)],[163, 8133, 10, 8036])).
% 3.15/3.34 tff(8135,plain,
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% 3.15/3.34 inference(unit_resolution,[status(thm)],[796, 8134])).
% 3.15/3.34 tff(8136,plain,
% 3.15/3.34 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[2894, 5, 10, 738])).
% 3.15/3.34 tff(8137,plain,
% 3.15/3.34 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[153, 8136])).
% 3.15/3.34 tff(8138,plain,
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% 3.15/3.34 inference(unit_resolution,[status(thm)],[8131, 8137, 7, 1065, 1016])).
% 3.15/3.34 tff(8139,plain,
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% 3.15/3.34 inference(unit_resolution,[status(thm)],[170, 8138])).
% 3.15/3.34 tff(8140,plain,
% 3.15/3.34 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[1207, 1267, 10, 8139])).
% 3.15/3.34 tff(8141,plain,
% 3.15/3.34 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
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% 3.15/3.34 tff(8142,plain,
% 3.15/3.34 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[3589, 8141, 7, 1016, 1065])).
% 3.15/3.34 tff(8143,plain,
% 3.15/3.34 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[484, 8142])).
% 3.15/3.34 tff(8144,plain,
% 3.15/3.34 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[1616, 8143, 10, 738, 5])).
% 3.15/3.34 tff(8145,plain,
% 3.15/3.34 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[819, 8144])).
% 3.15/3.34 tff(8146,plain,
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% 3.15/3.34 inference(unit_resolution,[status(thm)],[5221, 213, 7, 1287, 8141, 8145])).
% 3.15/3.34 tff(8147,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.34 tff(8148,plain,
% 3.15/3.34 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8147, 5, 10, 7554, 7, 1016, 8123, 8135, 8003])).
% 3.15/3.34 tff(8149,plain,
% 3.15/3.34 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[610, 8148])).
% 3.15/3.34 tff(8150,plain,
% 3.15/3.34 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.34 inference(unit_resolution,[status(thm)],[8061, 8129, 7253, 8003])).
% 3.15/3.34 tff(8151,plain,
% 3.15/3.34 (r(s(s(s(s(s(s(s(z))))))), s(z))),
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% 3.15/3.35 tff(8153,plain,
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% 3.15/3.35 tff(8154,plain,
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% 3.15/3.35 inference(unit_resolution,[status(thm)],[484, 8154])).
% 3.15/3.35 tff(8156,plain,
% 3.15/3.35 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[2574, 8155, 7554, 8036, 8149])).
% 3.15/3.35 tff(8157,plain,
% 3.15/3.35 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[627, 8156])).
% 3.15/3.35 tff(8158,plain,
% 3.15/3.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
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% 3.15/3.35 inference(quant_inst,[status(thm)],[])).
% 3.15/3.35 tff(8160,plain,
% 3.15/3.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.15/3.35 inference(modus_ponens,[status(thm)],[8159, 8158])).
% 3.15/3.35 tff(8161,plain,
% 3.15/3.35 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8160, 76, 8127, 8151, 8149])).
% 3.15/3.35 tff(8162,plain,
% 3.15/3.35 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8161, 8155])).
% 3.15/3.35 tff(8163,plain,
% 3.15/3.35 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[653, 8162])).
% 3.15/3.35 tff(8164,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8165,plain,
% 3.15/3.35 (((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8166,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.15/3.35 inference(monotonicity,[status(thm)],[8165])).
% 3.15/3.35 tff(8167,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.35 inference(transitivity,[status(thm)],[8166, 8164])).
% 3.15/3.35 tff(8168,plain,
% 3.15/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.15/3.35 inference(quant_inst,[status(thm)],[])).
% 3.15/3.35 tff(8169,plain,
% 3.15/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.15/3.35 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 3.15/3.35 tff(8170,plain,
% 3.15/3.35 ($false),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8169, 213, 8123, 8163, 8157, 1016])).
% 3.15/3.35 tff(8171,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.35 tff(8172,plain,
% 3.15/3.35 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8171, 1016, 1027, 10, 7])).
% 3.15/3.35 tff(8173,plain,
% 3.15/3.35 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[250, 8172])).
% 3.15/3.35 tff(8174,plain,
% 3.15/3.35 (~b(s(z), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8091, 8173, 8003, 7253])).
% 3.15/3.35 tff(8175,plain,
% 3.15/3.35 (r(s(z), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[796, 8174])).
% 3.15/3.35 tff(8176,plain,
% 3.15/3.35 (~r(s(s(s(s(z)))), z)),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[163, 8175, 10, 8036])).
% 3.15/3.35 tff(8177,plain,
% 3.15/3.35 (b(s(s(s(s(z)))), z)),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[170, 8176])).
% 3.15/3.35 tff(8178,plain,
% 3.15/3.35 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[2313, 8177, 1016, 8123])).
% 3.15/3.35 tff(8179,plain,
% 3.15/3.35 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[2750, 8178])).
% 3.15/3.35 tff(8180,plain,
% 3.15/3.35 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8131, 8177, 7, 8123, 1016])).
% 3.15/3.35 tff(8181,plain,
% 3.15/3.35 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[153, 8180])).
% 3.15/3.35 tff(8182,plain,
% 3.15/3.35 ($false),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[2684, 8181, 8179, 8127, 8125])).
% 3.15/3.35 tff(8183,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.35 tff(8184,plain,
% 3.15/3.35 (~b(s(s(s(z))), z)),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8183, 1027, 10, 7])).
% 3.15/3.35 tff(8185,plain,
% 3.15/3.35 (r(s(s(s(z))), z)),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[2303, 8184])).
% 3.15/3.35 tff(8186,plain,
% 3.15/3.35 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8061, 3, 4, 284])).
% 3.15/3.35 tff(8187,plain,
% 3.15/3.35 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[153, 8186])).
% 3.15/3.35 tff(8188,plain,
% 3.15/3.35 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[2894, 8187, 10, 738])).
% 3.15/3.35 tff(8189,plain,
% 3.15/3.35 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[250, 8188])).
% 3.15/3.35 tff(8190,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8191,plain,
% 3.15/3.35 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8192,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.15/3.35 inference(monotonicity,[status(thm)],[8191])).
% 3.15/3.35 tff(8193,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.15/3.35 inference(transitivity,[status(thm)],[8192, 8190])).
% 3.15/3.35 tff(8194,plain,
% 3.15/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.15/3.35 inference(quant_inst,[status(thm)],[])).
% 3.15/3.35 tff(8195,plain,
% 3.15/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.15/3.35 inference(modus_ponens,[status(thm)],[8194, 8193])).
% 3.15/3.35 tff(8196,plain,
% 3.15/3.35 ($false),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8195, 213, 284, 3, 8189, 4])).
% 3.15/3.35 tff(8197,plain,((~b(s(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(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.35 tff(8198,plain,
% 3.15/3.35 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8197, 8003, 7253, 10, 7554])).
% 3.15/3.35 tff(8199,plain,
% 3.15/3.35 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[450, 8198])).
% 3.15/3.35 tff(8200,plain,
% 3.15/3.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8201,plain,
% 3.15/3.35 (((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8202,plain,
% 3.15/3.35 (((~![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(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.35 inference(monotonicity,[status(thm)],[8201])).
% 3.15/3.35 tff(8203,plain,
% 3.15/3.35 (((~![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(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.35 inference(transitivity,[status(thm)],[8202, 8200])).
% 3.15/3.35 tff(8204,plain,
% 3.15/3.35 ((~![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(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.35 inference(quant_inst,[status(thm)],[])).
% 3.15/3.35 tff(8205,plain,
% 3.15/3.35 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 3.15/3.35 inference(modus_ponens,[status(thm)],[8204, 8203])).
% 3.15/3.35 tff(8206,plain,
% 3.15/3.35 ($false),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8205, 76, 350, 10, 117, 738, 15])).
% 3.15/3.35 tff(8207,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.35 tff(8208,plain,
% 3.15/3.35 (~r(s(z), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8207, 7835, 10, 7554, 8199])).
% 3.15/3.35 tff(8209,plain,
% 3.15/3.35 (b(s(z), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[796, 8208])).
% 3.15/3.35 tff(8210,plain,
% 3.15/3.35 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[7855, 7835, 10, 8199, 7554])).
% 3.15/3.35 tff(8211,plain,
% 3.15/3.35 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[153, 8210])).
% 3.15/3.35 tff(8212,plain,
% 3.15/3.35 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8024, 691, 4, 1027, 738, 350])).
% 3.15/3.35 tff(8213,plain,
% 3.15/3.35 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[450, 8212])).
% 3.15/3.35 tff(8214,plain,
% 3.15/3.35 ($false),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8032, 76, 350, 738, 8213, 691, 1027])).
% 3.15/3.35 tff(8215,plain,((~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.35 tff(8216,plain,
% 3.15/3.35 (~r(z, s(s(s(z))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8215, 7835, 7554, 1027, 7253])).
% 3.15/3.35 tff(8217,plain,
% 3.15/3.35 (b(z, s(s(s(z))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[581, 8216])).
% 3.15/3.35 tff(8218,plain,
% 3.15/3.35 (~r(s(s(s(z))), s(z))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[4959, 2350, 1028, 5, 15])).
% 3.15/3.35 tff(8219,plain,
% 3.15/3.35 (~b(s(s(s(z))), s(z))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[2733, 2350, 284, 782])).
% 3.15/3.35 tff(8220,plain,
% 3.15/3.35 ($false),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[535, 8219, 8218])).
% 3.15/3.35 tff(8221,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.35 tff(8222,plain,
% 3.15/3.35 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8221, 7861, 284, 782, 7572, 15])).
% 3.15/3.35 tff(8223,plain,
% 3.15/3.35 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[1871, 8222])).
% 3.15/3.35 tff(8224,plain,
% 3.15/3.35 (~r(s(s(s(s(z)))), z)),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[2935, 8223, 10, 2296])).
% 3.15/3.35 tff(8225,plain,
% 3.15/3.35 (b(s(s(s(s(z)))), z)),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[170, 8224])).
% 3.15/3.35 tff(8226,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8227,plain,
% 3.15/3.35 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8228,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))))),
% 3.15/3.35 inference(monotonicity,[status(thm)],[8227])).
% 3.15/3.35 tff(8229,plain,
% 3.15/3.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 3.15/3.35 inference(transitivity,[status(thm)],[8228, 8226])).
% 3.15/3.35 tff(8230,plain,
% 3.15/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.15/3.35 inference(quant_inst,[status(thm)],[])).
% 3.15/3.35 tff(8231,plain,
% 3.15/3.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))),
% 3.15/3.35 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 3.15/3.35 tff(8232,plain,
% 3.15/3.35 ($false),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8231, 213, 3771, 782, 8225, 506, 1065, 203, 7253])).
% 3.15/3.35 tff(8233,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.35 tff(8234,plain,
% 3.15/3.35 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[8233, 3771, 8209, 8217, 8211, 10, 8185, 8003, 8199, 7])).
% 3.15/3.35 tff(8235,plain,
% 3.15/3.35 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.35 inference(unit_resolution,[status(thm)],[596, 8234])).
% 3.15/3.35 tff(8236,plain,
% 3.15/3.35 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8237,plain,
% 3.15/3.35 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.15/3.35 inference(rewrite,[status(thm)],[])).
% 3.15/3.35 tff(8238,plain,
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% 3.15/3.36 inference(modus_ponens,[status(thm)],[8240, 8239])).
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% 3.15/3.36 inference(unit_resolution,[status(thm)],[8241, 76, 11, 738, 15, 12, 2296])).
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% 3.15/3.36 inference(unit_resolution,[status(thm)],[1871, 8246])).
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% 3.15/3.36 inference(unit_resolution,[status(thm)],[2750, 8248])).
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% 3.15/3.36 tff(8260,plain,
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% 3.15/3.36 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.15/3.36 tff(8266,plain,
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% 3.15/3.36 inference(unit_resolution,[status(thm)],[610, 8285])).
% 3.15/3.36 tff(8287,plain,
% 3.15/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.36 inference(rewrite,[status(thm)],[])).
% 3.15/3.36 tff(8288,plain,
% 3.15/3.36 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.36 inference(rewrite,[status(thm)],[])).
% 3.15/3.36 tff(8289,plain,
% 3.15/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.15/3.36 inference(monotonicity,[status(thm)],[8288])).
% 3.15/3.36 tff(8290,plain,
% 3.15/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.36 inference(transitivity,[status(thm)],[8289, 8287])).
% 3.15/3.36 tff(8291,plain,
% 3.15/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.15/3.36 inference(quant_inst,[status(thm)],[])).
% 3.15/3.36 tff(8292,plain,
% 3.15/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.15/3.36 inference(modus_ponens,[status(thm)],[8291, 8290])).
% 3.15/3.36 tff(8293,plain,
% 3.15/3.36 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.15/3.36 inference(unit_resolution,[status(thm)],[8292, 213, 782, 284, 203, 467])).
% 3.15/3.36 tff(8294,plain,
% 3.15/3.36 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.36 inference(unit_resolution,[status(thm)],[8293, 8286])).
% 3.15/3.36 tff(8295,plain,
% 3.15/3.36 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.36 inference(unit_resolution,[status(thm)],[316, 8294])).
% 3.15/3.36 tff(8296,plain,
% 3.15/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.36 inference(rewrite,[status(thm)],[])).
% 3.15/3.36 tff(8297,plain,
% 3.15/3.36 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.36 inference(rewrite,[status(thm)],[])).
% 3.15/3.36 tff(8298,plain,
% 3.15/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.15/3.36 inference(monotonicity,[status(thm)],[8297])).
% 3.15/3.36 tff(8299,plain,
% 3.15/3.36 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.36 inference(transitivity,[status(thm)],[8298, 8296])).
% 3.15/3.36 tff(8300,plain,
% 3.15/3.36 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.36 inference(quant_inst,[status(thm)],[])).
% 3.15/3.36 tff(8301,plain,
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% 3.15/3.36 inference(modus_ponens,[status(thm)],[8300, 8299])).
% 3.15/3.36 tff(8302,plain,
% 3.15/3.36 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.36 inference(unit_resolution,[status(thm)],[8301, 213, 782, 284, 203, 467])).
% 3.15/3.36 tff(8303,plain,
% 3.15/3.36 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.36 inference(unit_resolution,[status(thm)],[8302, 8286])).
% 3.15/3.36 tff(8304,plain,
% 3.15/3.36 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.36 inference(unit_resolution,[status(thm)],[338, 8303])).
% 3.15/3.36 tff(8305,plain,
% 3.15/3.36 ($false),
% 3.15/3.36 inference(unit_resolution,[status(thm)],[965, 8304, 8295, 7572, 8259])).
% 3.15/3.36 tff(8306,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.37 tff(8307,plain,
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% 3.15/3.37 inference(unit_resolution,[status(thm)],[8306, 8257, 8003, 8251, 1027, 8185, 1507, 11, 7554, 350, 8253, 7])).
% 3.15/3.37 tff(8308,plain,
% 3.15/3.37 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[484, 8307])).
% 3.15/3.37 tff(8309,plain,
% 3.15/3.37 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[1616, 8308, 10, 7554, 8255])).
% 3.15/3.37 tff(8310,plain,
% 3.15/3.37 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[819, 8309])).
% 3.15/3.37 tff(8311,plain,
% 3.15/3.37 (~r(z, s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8215, 350, 7554, 1027, 7253])).
% 3.15/3.37 tff(8312,plain,
% 3.15/3.37 (b(z, s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[581, 8311])).
% 3.15/3.37 tff(8313,plain,
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% 3.15/3.37 inference(rewrite,[status(thm)],[])).
% 3.15/3.37 tff(8314,plain,
% 3.15/3.37 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.37 inference(rewrite,[status(thm)],[])).
% 3.15/3.37 tff(8315,plain,
% 3.15/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.37 inference(monotonicity,[status(thm)],[8314])).
% 3.15/3.37 tff(8316,plain,
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% 3.15/3.37 inference(transitivity,[status(thm)],[8315, 8313])).
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% 3.15/3.37 inference(quant_inst,[status(thm)],[])).
% 3.15/3.37 tff(8318,plain,
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% 3.15/3.37 inference(modus_ponens,[status(thm)],[8317, 8316])).
% 3.15/3.37 tff(8319,plain,
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% 3.15/3.37 tff(8321,plain,
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% 3.15/3.37 tff(8322,plain,
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% 3.15/3.37 inference(unit_resolution,[status(thm)],[627, 8321])).
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% 3.15/3.37 tff(8324,plain,
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% 3.15/3.37 tff(8325,plain,
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% 3.15/3.37 tff(8326,plain,
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% 3.15/3.37 inference(unit_resolution,[status(thm)],[8325, 706])).
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% 3.15/3.37 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[653, 8326])).
% 3.15/3.37 tff(8328,plain,
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% 3.15/3.37 tff(8329,plain,
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% 3.15/3.37 tff(8330,plain,
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% 3.15/3.37 inference(unit_resolution,[status(thm)],[316, 8330])).
% 3.15/3.37 tff(8332,plain,
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% 3.15/3.37 tff(8343,plain,
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% 3.15/3.37 inference(unit_resolution,[status(thm)],[596, 8374])).
% 3.15/3.37 tff(8376,plain,
% 3.15/3.37 (~r(z, s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[7931, 8353, 1027, 8185])).
% 3.15/3.37 tff(8377,plain,
% 3.15/3.37 (b(z, s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[581, 8376])).
% 3.15/3.37 tff(8378,plain,
% 3.15/3.37 (~r(s(s(s(z))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8243, 8375, 7554, 8199, 8185])).
% 3.15/3.37 tff(8379,plain,
% 3.15/3.37 (b(s(s(s(z))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[535, 8378])).
% 3.15/3.37 tff(8380,plain,
% 3.15/3.37 (~b(z, s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[3003, 8379, 8003, 8377, 8355])).
% 3.15/3.37 tff(8381,plain,
% 3.15/3.37 (r(z, s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[370, 8380])).
% 3.15/3.37 tff(8382,plain,
% 3.15/3.37 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2733, 8379, 8003, 8355])).
% 3.15/3.37 tff(8383,plain,
% 3.15/3.37 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[1871, 8382])).
% 3.15/3.37 tff(8384,plain,
% 3.15/3.37 ($false),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8345, 8383, 8381, 7, 8373, 1027, 10, 8375])).
% 3.15/3.37 tff(8385,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.37 tff(8386,plain,
% 3.15/3.37 (~r(s(z), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8385, 10, 7])).
% 3.15/3.37 tff(8387,plain,
% 3.15/3.37 (b(s(z), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[564, 8386])).
% 3.15/3.37 tff(8388,plain,
% 3.15/3.37 (~r(s(s(s(s(z)))), z)),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[163, 117, 10, 7273])).
% 3.15/3.37 tff(8389,plain,
% 3.15/3.37 (b(s(s(s(s(z)))), z)),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[170, 8388])).
% 3.15/3.37 tff(8390,plain,
% 3.15/3.37 (~r(s(s(s(s(z)))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[358, 117, 10, 7281])).
% 3.15/3.37 tff(8391,plain,
% 3.15/3.37 (b(s(s(s(s(z)))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[115, 8390])).
% 3.15/3.37 tff(8392,plain,
% 3.15/3.37 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[7391, 8391, 7, 202])).
% 3.15/3.37 tff(8393,plain,
% 3.15/3.37 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[153, 8392])).
% 3.15/3.37 tff(8394,plain,
% 3.15/3.37 (~r(s(z), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[163, 7293, 10, 7273])).
% 3.15/3.37 tff(8395,plain,
% 3.15/3.37 (b(s(z), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[796, 8394])).
% 3.15/3.37 tff(8396,plain,
% 3.15/3.37 ($false),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8091, 7295, 8395, 468, 7253])).
% 3.15/3.37 tff(8397,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.37 tff(8398,plain,
% 3.15/3.37 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8397, 202, 7, 10])).
% 3.15/3.37 tff(8399,plain,
% 3.15/3.37 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[250, 8398])).
% 3.15/3.37 tff(8400,plain,
% 3.15/3.37 (~b(z, s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[4433, 506, 7, 202])).
% 3.15/3.37 tff(8401,plain,
% 3.15/3.37 (r(z, s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[581, 8400])).
% 3.15/3.37 tff(8402,plain,
% 3.15/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.37 inference(rewrite,[status(thm)],[])).
% 3.15/3.37 tff(8403,plain,
% 3.15/3.37 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z)))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.37 inference(rewrite,[status(thm)],[])).
% 3.15/3.37 tff(8404,plain,
% 3.15/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.15/3.37 inference(monotonicity,[status(thm)],[8403])).
% 3.15/3.37 tff(8405,plain,
% 3.15/3.37 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.15/3.37 inference(transitivity,[status(thm)],[8404, 8402])).
% 3.15/3.37 tff(8406,plain,
% 3.15/3.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(z))))),
% 3.15/3.37 inference(quant_inst,[status(thm)],[])).
% 3.15/3.37 tff(8407,plain,
% 3.15/3.37 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.15/3.37 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 3.15/3.37 tff(8408,plain,
% 3.15/3.37 ($false),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8407, 76, 350, 10, 117, 691, 2410])).
% 3.15/3.37 tff(8409,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.37 tff(8410,plain,
% 3.15/3.37 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8409, 8401, 10, 7281, 117])).
% 3.15/3.37 tff(8411,plain,
% 3.15/3.37 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2750, 8410])).
% 3.15/3.37 tff(8412,plain,
% 3.15/3.37 (~b(s(s(s(z))), z)),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[1949, 506, 7, 202])).
% 3.15/3.37 tff(8413,plain,
% 3.15/3.37 (r(s(s(s(z))), z)),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2303, 8412])).
% 3.15/3.37 tff(8414,plain,
% 3.15/3.37 (~r(s(s(s(z))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2775, 8413, 7281, 7273])).
% 3.15/3.37 tff(8415,plain,
% 3.15/3.37 (b(s(s(s(z))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[535, 8414])).
% 3.15/3.37 tff(8416,plain,
% 3.15/3.37 ($false),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[3840, 8415, 8411, 8387, 8391])).
% 3.15/3.37 tff(8417,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.37 tff(8418,plain,
% 3.15/3.37 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8417, 117, 10, 7, 202])).
% 3.15/3.37 tff(8419,plain,
% 3.15/3.37 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[596, 8418])).
% 3.15/3.37 tff(8420,plain,
% 3.15/3.37 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2664, 8419, 8399, 8393])).
% 3.15/3.37 tff(8421,plain,
% 3.15/3.37 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[1871, 8420])).
% 3.15/3.37 tff(8422,plain,
% 3.15/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.37 inference(rewrite,[status(thm)],[])).
% 3.15/3.37 tff(8423,plain,
% 3.15/3.37 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.37 inference(rewrite,[status(thm)],[])).
% 3.15/3.37 tff(8424,plain,
% 3.15/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 3.15/3.37 inference(monotonicity,[status(thm)],[8423])).
% 3.15/3.37 tff(8425,plain,
% 3.15/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.15/3.37 inference(transitivity,[status(thm)],[8424, 8422])).
% 3.15/3.37 tff(8426,plain,
% 3.15/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.15/3.37 inference(quant_inst,[status(thm)],[])).
% 3.15/3.37 tff(8427,plain,
% 3.15/3.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 3.15/3.37 inference(modus_ponens,[status(thm)],[8426, 8425])).
% 3.15/3.37 tff(8428,plain,
% 3.15/3.37 ($false),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8427, 213, 191, 7, 1016, 202, 2350])).
% 3.15/3.37 tff(8429,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.37 tff(8430,plain,
% 3.15/3.37 (~b(s(s(s(z))), z)),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8429, 8421, 7, 202, 8389])).
% 3.15/3.37 tff(8431,plain,
% 3.15/3.37 (r(s(s(s(z))), z)),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2303, 8430])).
% 3.15/3.37 tff(8432,plain,
% 3.15/3.37 (~r(s(s(s(z))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2775, 8431, 7281, 7273])).
% 3.15/3.37 tff(8433,plain,
% 3.15/3.37 (b(s(s(s(z))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[535, 8432])).
% 3.15/3.37 tff(8434,plain,
% 3.15/3.37 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[3840, 8433, 8387, 8391])).
% 3.15/3.37 tff(8435,plain,
% 3.15/3.37 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2750, 8434])).
% 3.15/3.37 tff(8436,plain,
% 3.15/3.37 (~r(z, s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8409, 8435, 10, 7281, 117])).
% 3.15/3.37 tff(8437,plain,
% 3.15/3.37 (b(z, s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[581, 8436])).
% 3.15/3.37 tff(8438,plain,
% 3.15/3.37 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2684, 8435, 8393, 8419])).
% 3.15/3.37 tff(8439,plain,
% 3.15/3.37 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[1042, 8438])).
% 3.15/3.37 tff(8440,plain,
% 3.15/3.37 ($false),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[4027, 213, 8439, 8437, 8387, 8433, 202])).
% 3.15/3.37 tff(8441,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.37 tff(8442,plain,
% 3.15/3.37 (~r(s(z), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8441, 202, 10, 7])).
% 3.15/3.37 tff(8443,plain,
% 3.15/3.37 (b(s(z), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[796, 8442])).
% 3.15/3.37 tff(8444,plain,
% 3.15/3.37 ($false),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[2775, 7863, 8413, 7281, 7273])).
% 3.15/3.37 tff(8445,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.37 tff(8446,plain,
% 3.15/3.37 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[8445, 3, 7, 202])).
% 3.15/3.37 tff(8447,plain,
% 3.15/3.37 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[596, 8446])).
% 3.15/3.37 tff(8448,plain,
% 3.15/3.37 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[735, 8389, 7, 202])).
% 3.15/3.37 tff(8449,plain,
% 3.15/3.37 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[250, 8448])).
% 3.15/3.37 tff(8450,plain,
% 3.15/3.37 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[7516, 8393, 7253, 8449, 117, 7281, 10, 7273])).
% 3.15/3.37 tff(8451,plain,
% 3.15/3.37 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[610, 8450])).
% 3.15/3.37 tff(8452,plain,
% 3.15/3.37 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.37 inference(unit_resolution,[status(thm)],[3415, 110, 3412, 3411])).
% 3.15/3.37 tff(8453,plain,
% 3.15/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.15/3.37 inference(rewrite,[status(thm)],[])).
% 3.15/3.37 tff(8454,plain,
% 3.15/3.37 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.15/3.37 inference(rewrite,[status(thm)],[])).
% 3.15/3.37 tff(8455,plain,
% 3.15/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.15/3.37 inference(monotonicity,[status(thm)],[8454])).
% 3.15/3.37 tff(8456,plain,
% 3.15/3.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.15/3.38 inference(transitivity,[status(thm)],[8455, 8453])).
% 3.15/3.38 tff(8457,plain,
% 3.15/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.38 inference(quant_inst,[status(thm)],[])).
% 3.15/3.38 tff(8458,plain,
% 3.15/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.15/3.38 inference(modus_ponens,[status(thm)],[8457, 8456])).
% 3.15/3.38 tff(8459,plain,
% 3.15/3.38 ($false),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8458, 213, 281, 3, 831, 8452])).
% 3.15/3.38 tff(8460,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | r(s(z), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.38 tff(8461,plain,
% 3.15/3.38 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8460, 8451, 7252, 3])).
% 3.15/3.38 tff(8462,plain,
% 3.15/3.38 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[436, 8461])).
% 3.15/3.38 tff(8463,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.15/3.38 inference(rewrite,[status(thm)],[])).
% 3.15/3.38 tff(8464,plain,
% 3.15/3.38 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.15/3.38 inference(rewrite,[status(thm)],[])).
% 3.15/3.38 tff(8465,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.15/3.38 inference(monotonicity,[status(thm)],[8464])).
% 3.15/3.38 tff(8466,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.15/3.38 inference(transitivity,[status(thm)],[8465, 8463])).
% 3.15/3.38 tff(8467,plain,
% 3.15/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.15/3.38 inference(quant_inst,[status(thm)],[])).
% 3.15/3.38 tff(8468,plain,
% 3.15/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.15/3.38 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 3.15/3.38 tff(8469,plain,
% 3.15/3.38 ($false),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8468, 213, 281, 3, 467, 4])).
% 3.15/3.38 tff(8470,plain,((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.38 tff(8471,plain,
% 3.15/3.38 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8470, 8451, 7253, 3])).
% 3.15/3.38 tff(8472,plain,
% 3.15/3.38 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[484, 8471])).
% 3.15/3.38 tff(8473,plain,
% 3.15/3.38 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[7530, 8451, 117, 7253, 8391, 8393, 8449, 10, 7273])).
% 3.15/3.38 tff(8474,plain,
% 3.15/3.38 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[627, 8473])).
% 3.15/3.38 tff(8475,plain,
% 3.15/3.38 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[7540, 8474, 8391, 8389, 7, 8451])).
% 3.15/3.38 tff(8476,plain,
% 3.15/3.38 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[316, 8475])).
% 3.15/3.38 tff(8477,plain,
% 3.15/3.38 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1275, 6, 598, 705, 10])).
% 3.15/3.38 tff(8478,plain,
% 3.15/3.38 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[627, 8477])).
% 3.15/3.38 tff(8479,plain,
% 3.15/3.38 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2251, 6, 598, 382])).
% 3.15/3.38 tff(8480,plain,
% 3.15/3.38 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[338, 8479])).
% 3.15/3.38 tff(8481,plain,
% 3.15/3.38 (((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.38 inference(rewrite,[status(thm)],[])).
% 3.15/3.38 tff(8482,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.15/3.38 inference(monotonicity,[status(thm)],[8481])).
% 3.15/3.38 tff(8483,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.15/3.38 inference(transitivity,[status(thm)],[8482, 7485])).
% 3.15/3.38 tff(8484,plain,
% 3.15/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.15/3.38 inference(quant_inst,[status(thm)],[])).
% 3.15/3.38 tff(8485,plain,
% 3.15/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.38 inference(modus_ponens,[status(thm)],[8484, 8483])).
% 3.15/3.38 tff(8486,plain,
% 3.15/3.38 ($false),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8485, 213, 191, 8480, 8478, 747])).
% 3.15/3.38 tff(8487,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.38 tff(8488,plain,
% 3.15/3.38 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8487, 8476, 10, 8393, 8389, 8472, 8462])).
% 3.15/3.38 tff(8489,plain,
% 3.15/3.38 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[819, 8488])).
% 3.15/3.38 tff(8490,plain,
% 3.15/3.38 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[347, 8489, 10, 8391, 8451])).
% 3.15/3.38 tff(8491,plain,
% 3.15/3.38 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[3216, 8489, 7273, 117, 8476])).
% 3.15/3.38 tff(8492,plain,
% 3.15/3.38 ($false),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[279, 8491, 8490])).
% 3.15/3.38 tff(8493,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.38 tff(8494,plain,
% 3.15/3.38 (~r(s(z), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8493, 3, 7, 10, 202])).
% 3.15/3.38 tff(8495,plain,
% 3.15/3.38 (b(s(z), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[796, 8494])).
% 3.15/3.38 tff(8496,plain,
% 3.15/3.38 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[221, 191, 7, 202])).
% 3.15/3.38 tff(8497,plain,
% 3.15/3.38 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[153, 8496])).
% 3.15/3.38 tff(8498,plain,
% 3.15/3.38 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[735, 191, 7, 202])).
% 3.15/3.38 tff(8499,plain,
% 3.15/3.38 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[250, 8498])).
% 3.15/3.38 tff(8500,plain,
% 3.15/3.38 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2664, 8499, 11, 8497])).
% 3.15/3.38 tff(8501,plain,
% 3.15/3.38 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1871, 8500])).
% 3.15/3.38 tff(8502,plain,
% 3.15/3.38 (~b(s(s(s(z))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8429, 191, 7, 202, 8501])).
% 3.15/3.38 tff(8503,plain,
% 3.15/3.38 (r(s(s(s(z))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2303, 8502])).
% 3.15/3.38 tff(8504,plain,
% 3.15/3.38 (~r(s(s(s(z))), s(z))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2775, 8503, 7281, 7273])).
% 3.15/3.38 tff(8505,plain,
% 3.15/3.38 (b(s(s(s(z))), s(z))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[535, 8504])).
% 3.15/3.38 tff(8506,plain,
% 3.15/3.38 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2357, 8501, 856, 782])).
% 3.15/3.38 tff(8507,plain,
% 3.15/3.38 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2750, 8506])).
% 3.15/3.38 tff(8508,plain,
% 3.15/3.38 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2684, 8507, 8497, 11])).
% 3.15/3.38 tff(8509,plain,
% 3.15/3.38 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1042, 8508])).
% 3.15/3.38 tff(8510,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.38 inference(rewrite,[status(thm)],[])).
% 3.15/3.38 tff(8511,plain,
% 3.15/3.38 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.38 inference(rewrite,[status(thm)],[])).
% 3.15/3.38 tff(8512,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.15/3.38 inference(monotonicity,[status(thm)],[8511])).
% 3.15/3.38 tff(8513,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.15/3.38 inference(transitivity,[status(thm)],[8512, 8510])).
% 3.15/3.38 tff(8514,plain,
% 3.15/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.38 inference(quant_inst,[status(thm)],[])).
% 3.15/3.38 tff(8515,plain,
% 3.15/3.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.15/3.38 inference(modus_ponens,[status(thm)],[8514, 8513])).
% 3.15/3.38 tff(8516,plain,
% 3.15/3.38 ($false),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8515, 213, 8509, 856, 8505, 7253])).
% 3.15/3.38 tff(8517,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.38 tff(8518,plain,
% 3.15/3.38 (~b(s(s(s(s(z)))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8517, 8447, 7, 202, 8387, 8495])).
% 3.15/3.38 tff(8519,plain,
% 3.15/3.38 (r(s(s(s(s(z)))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[170, 8518])).
% 3.15/3.38 tff(8520,plain,
% 3.15/3.38 (~r(s(s(s(s(z)))), s(z))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[3355, 8519, 7273, 7281])).
% 3.15/3.38 tff(8521,plain,
% 3.15/3.38 (b(s(s(s(s(z)))), s(z))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[115, 8520])).
% 3.15/3.38 tff(8522,plain,
% 3.15/3.38 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[7391, 8521, 7, 202])).
% 3.15/3.38 tff(8523,plain,
% 3.15/3.38 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[153, 8522])).
% 3.15/3.38 tff(8524,plain,
% 3.15/3.38 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[7339, 8521, 3, 8495])).
% 3.15/3.38 tff(8525,plain,
% 3.15/3.38 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[250, 8524])).
% 3.15/3.38 tff(8526,plain,
% 3.15/3.38 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2664, 8525, 8447, 8523])).
% 3.15/3.38 tff(8527,plain,
% 3.15/3.38 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1871, 8526])).
% 3.15/3.38 tff(8528,plain,
% 3.15/3.38 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2357, 8527, 8387, 8495])).
% 3.15/3.38 tff(8529,plain,
% 3.15/3.38 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2750, 8528])).
% 3.15/3.38 tff(8530,plain,
% 3.15/3.38 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2684, 8529, 8523, 8447])).
% 3.15/3.38 tff(8531,plain,
% 3.15/3.38 (~r(z, s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[3502, 8527, 10, 8387, 7273, 8519])).
% 3.15/3.38 tff(8532,plain,
% 3.15/3.38 (b(z, s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[581, 8531])).
% 3.15/3.38 tff(8533,plain,
% 3.15/3.38 (~b(s(s(s(z))), s(z))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[7442, 8525, 7253, 3, 8521])).
% 3.15/3.38 tff(8534,plain,
% 3.15/3.38 (r(s(s(s(z))), s(z))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[535, 8533])).
% 3.15/3.38 tff(8535,plain,
% 3.15/3.38 (~r(s(s(s(z))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2775, 8534, 7281, 7273])).
% 3.15/3.38 tff(8536,plain,
% 3.15/3.38 (b(s(s(s(z))), z)),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[2303, 8535])).
% 3.15/3.38 tff(8537,plain,
% 3.15/3.38 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1515, 8536, 7, 8532])).
% 3.15/3.38 tff(8538,plain,
% 3.15/3.38 ($false),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1042, 8537, 8530])).
% 3.15/3.38 tff(8539,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.38 tff(8540,plain,
% 3.15/3.38 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8539, 202, 10, 7])).
% 3.15/3.38 tff(8541,plain,
% 3.15/3.38 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[450, 8540])).
% 3.15/3.38 tff(8542,plain,
% 3.15/3.38 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[8517, 7289, 7, 202, 856, 782])).
% 3.15/3.38 tff(8543,plain,
% 3.15/3.38 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[596, 8542])).
% 3.15/3.38 tff(8544,plain,
% 3.15/3.38 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[7305, 8543, 7253, 856])).
% 3.15/3.38 tff(8545,plain,
% 3.15/3.38 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1042, 8544])).
% 3.15/3.38 tff(8546,plain,
% 3.15/3.38 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1564, 8545, 16, 5, 15])).
% 3.15/3.38 tff(8547,plain,
% 3.15/3.38 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.38 inference(unit_resolution,[status(thm)],[1871, 8546])).
% 3.15/3.38 tff(8548,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.38 inference(rewrite,[status(thm)],[])).
% 3.15/3.38 tff(8549,plain,
% 3.15/3.38 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.38 inference(rewrite,[status(thm)],[])).
% 3.15/3.38 tff(8550,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.15/3.38 inference(monotonicity,[status(thm)],[8549])).
% 3.15/3.38 tff(8551,plain,
% 3.15/3.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(transitivity,[status(thm)],[8550, 8548])).
% 3.15/3.39 tff(8552,plain,
% 3.15/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(quant_inst,[status(thm)],[])).
% 3.15/3.39 tff(8553,plain,
% 3.15/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.15/3.39 inference(modus_ponens,[status(thm)],[8552, 8551])).
% 3.15/3.39 tff(8554,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8553, 213, 782, 7289, 8543, 856, 7253, 202, 8547])).
% 3.15/3.39 tff(8555,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8556,plain,
% 3.15/3.39 (~r(s(s(s(s(z)))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8555, 8443, 8387, 202, 8399, 8541, 7])).
% 3.15/3.39 tff(8557,plain,
% 3.15/3.39 (b(s(s(s(s(z)))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[115, 8556])).
% 3.15/3.39 tff(8558,plain,
% 3.15/3.39 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[7408, 8557, 202, 8399, 7, 8443, 10])).
% 3.15/3.39 tff(8559,plain,
% 3.15/3.39 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[610, 8558])).
% 3.15/3.39 tff(8560,plain,
% 3.15/3.39 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[7305, 506, 7253, 8387])).
% 3.15/3.39 tff(8561,plain,
% 3.15/3.39 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[1042, 8560])).
% 3.15/3.39 tff(8562,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8371, 8561, 8413, 8443, 8557, 8399, 7273, 10, 8541])).
% 3.15/3.39 tff(8563,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8564,plain,
% 3.15/3.39 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8563, 202, 7, 10])).
% 3.15/3.39 tff(8565,plain,
% 3.15/3.39 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[596, 8564])).
% 3.15/3.39 tff(8566,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8517, 8565, 7, 202, 8387, 8443])).
% 3.15/3.39 tff(8567,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[170, 8566])).
% 3.15/3.39 tff(8568,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[7391, 8557, 7, 202])).
% 3.15/3.39 tff(8569,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[153, 8568])).
% 3.15/3.39 tff(8570,plain,
% 3.15/3.39 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2664, 8565, 8399, 8569])).
% 3.15/3.39 tff(8571,plain,
% 3.15/3.39 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[1871, 8570])).
% 3.15/3.39 tff(8572,plain,
% 3.15/3.39 (~r(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[3502, 8571, 10, 8387, 7273, 8567])).
% 3.15/3.39 tff(8573,plain,
% 3.15/3.39 (b(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[581, 8572])).
% 3.15/3.39 tff(8574,plain,
% 3.15/3.39 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[3589, 7476, 7, 1016, 1065])).
% 3.15/3.39 tff(8575,plain,
% 3.15/3.39 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[484, 8574])).
% 3.15/3.39 tff(8576,plain,
% 3.15/3.39 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2797, 1065, 7, 1016])).
% 3.15/3.39 tff(8577,plain,
% 3.15/3.39 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[596, 8576])).
% 3.15/3.39 tff(8578,plain,
% 3.15/3.39 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8160, 76, 8577, 15, 706, 8575])).
% 3.15/3.39 tff(8579,plain,
% 3.15/3.39 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[653, 8578])).
% 3.15/3.39 tff(8580,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8169, 213, 1065, 8579, 7476, 1016])).
% 3.15/3.39 tff(8581,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8582,plain,
% 3.15/3.39 (~b(s(s(s(z))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8581, 8573, 7281, 8541, 7, 7273, 8559])).
% 3.15/3.39 tff(8583,plain,
% 3.15/3.39 (~b(s(s(s(z))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2733, 8571, 8443, 8557])).
% 3.15/3.39 tff(8584,plain,
% 3.15/3.39 (r(s(s(s(z))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[535, 8583])).
% 3.15/3.39 tff(8585,plain,
% 3.15/3.39 (~r(s(s(s(z))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2775, 8584, 7281, 7273])).
% 3.15/3.39 tff(8586,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2303, 8585, 8582])).
% 3.15/3.39 tff(8587,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8588,plain,
% 3.15/3.39 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8587, 10, 7])).
% 3.15/3.39 tff(8589,plain,
% 3.15/3.39 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[233, 8588])).
% 3.15/3.39 tff(8590,plain,
% 3.15/3.39 (~b(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2797, 506, 7, 1016])).
% 3.15/3.39 tff(8591,plain,
% 3.15/3.39 (r(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[581, 8590])).
% 3.15/3.39 tff(8592,plain,
% 3.15/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(rewrite,[status(thm)],[])).
% 3.15/3.39 tff(8593,plain,
% 3.15/3.39 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(rewrite,[status(thm)],[])).
% 3.15/3.39 tff(8594,plain,
% 3.15/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.15/3.39 inference(monotonicity,[status(thm)],[8593])).
% 3.15/3.39 tff(8595,plain,
% 3.15/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(transitivity,[status(thm)],[8594, 8592])).
% 3.15/3.39 tff(8596,plain,
% 3.15/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(quant_inst,[status(thm)],[])).
% 3.15/3.39 tff(8597,plain,
% 3.15/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.15/3.39 inference(modus_ponens,[status(thm)],[8596, 8595])).
% 3.15/3.39 tff(8598,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8597, 213, 506, 856, 468, 203, 4])).
% 3.15/3.39 tff(8599,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8600,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8599, 506, 7253, 8387, 468])).
% 3.15/3.39 tff(8601,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[153, 8600])).
% 3.15/3.39 tff(8602,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2807, 76, 10, 8601, 8589, 8561, 8591])).
% 3.15/3.39 tff(8603,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8604,plain,
% 3.15/3.39 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8603, 1016, 468, 7, 10])).
% 3.15/3.39 tff(8605,plain,
% 3.15/3.39 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[596, 8604])).
% 3.15/3.39 tff(8606,plain,
% 3.15/3.39 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[3157, 691, 11, 8589])).
% 3.15/3.39 tff(8607,plain,
% 3.15/3.39 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[1042, 8606])).
% 3.15/3.39 tff(8608,plain,
% 3.15/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(rewrite,[status(thm)],[])).
% 3.15/3.39 tff(8609,plain,
% 3.15/3.39 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(rewrite,[status(thm)],[])).
% 3.15/3.39 tff(8610,plain,
% 3.15/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.15/3.39 inference(monotonicity,[status(thm)],[8609])).
% 3.15/3.39 tff(8611,plain,
% 3.15/3.39 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.15/3.39 inference(transitivity,[status(thm)],[8610, 8608])).
% 3.15/3.39 tff(8612,plain,
% 3.15/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.15/3.39 inference(quant_inst,[status(thm)],[])).
% 3.15/3.39 tff(8613,plain,
% 3.15/3.39 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.15/3.39 inference(modus_ponens,[status(thm)],[8612, 8611])).
% 3.15/3.39 tff(8614,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8613, 213, 1, 191, 1507, 856, 7, 468, 2305])).
% 3.15/3.39 tff(8615,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8616,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8615, 8607, 191, 1, 8387, 7, 468])).
% 3.15/3.39 tff(8617,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2750, 8616])).
% 3.15/3.39 tff(8618,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8119, 76, 10, 11, 8589, 691, 8617])).
% 3.15/3.39 tff(8619,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(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(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8620,plain,
% 3.15/3.39 (~r(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8619, 8605, 10, 191, 1, 7, 468])).
% 3.15/3.39 tff(8621,plain,
% 3.15/3.39 (b(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[581, 8620])).
% 3.15/3.39 tff(8622,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8131, 8621, 7, 191, 1016])).
% 3.15/3.39 tff(8623,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[153, 8622])).
% 3.15/3.39 tff(8624,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2313, 8621, 191, 1016])).
% 3.15/3.39 tff(8625,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2750, 8624])).
% 3.15/3.39 tff(8626,plain,
% 3.15/3.39 (((~![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(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.39 inference(rewrite,[status(thm)],[])).
% 3.15/3.39 tff(8627,plain,
% 3.15/3.39 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.39 inference(rewrite,[status(thm)],[])).
% 3.15/3.39 tff(8628,plain,
% 3.15/3.39 (((~![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(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 3.15/3.39 inference(monotonicity,[status(thm)],[8627])).
% 3.15/3.39 tff(8629,plain,
% 3.15/3.39 (((~![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(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.39 inference(transitivity,[status(thm)],[8628, 8626])).
% 3.15/3.39 tff(8630,plain,
% 3.15/3.39 ((~![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(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 3.15/3.39 inference(quant_inst,[status(thm)],[])).
% 3.15/3.39 tff(8631,plain,
% 3.15/3.39 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 3.15/3.39 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 3.15/3.39 tff(8632,plain,
% 3.15/3.39 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8631, 76, 16, 8605, 7263])).
% 3.15/3.39 tff(8633,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8632, 8625, 8623])).
% 3.15/3.39 tff(8634,plain,((~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8635,plain,
% 3.15/3.39 (~b(s(s(s(z))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8634, 191, 16, 7, 10, 1, 468])).
% 3.15/3.39 tff(8636,plain,
% 3.15/3.39 (r(s(s(s(z))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2303, 8635])).
% 3.15/3.39 tff(8637,plain,
% 3.15/3.39 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[7305, 506, 4, 856])).
% 3.15/3.39 tff(8638,plain,
% 3.15/3.39 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[1042, 8637])).
% 3.15/3.39 tff(8639,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8599, 506, 4, 856, 468])).
% 3.15/3.39 tff(8640,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[153, 8639])).
% 3.15/3.39 tff(8641,plain,
% 3.15/3.39 (~r(s(s(s(z))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[7875, 8640, 16, 2296, 468, 506, 10, 8638])).
% 3.15/3.39 tff(8642,plain,
% 3.15/3.39 (b(s(s(s(z))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[535, 8641])).
% 3.15/3.39 tff(8643,plain,
% 3.15/3.39 (~b(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[1530, 213, 1, 856, 8642])).
% 3.15/3.39 tff(8644,plain,
% 3.15/3.39 (r(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[581, 8643])).
% 3.15/3.39 tff(8645,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2807, 76, 10, 8640, 738, 8638, 8644])).
% 3.15/3.39 tff(8646,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8647,plain,
% 3.15/3.39 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8646, 8636, 8589, 1, 8387, 16, 10, 468, 7253])).
% 3.15/3.39 tff(8648,plain,
% 3.15/3.39 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[596, 8647])).
% 3.15/3.39 tff(8649,plain,
% 3.15/3.39 (~r(s(s(s(z))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8243, 8648, 8589, 7263, 8636])).
% 3.15/3.39 tff(8650,plain,
% 3.15/3.39 (b(s(s(s(z))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[535, 8649])).
% 3.15/3.39 tff(8651,plain,
% 3.15/3.39 (~r(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8619, 8648, 10, 191, 1, 7, 468])).
% 3.15/3.39 tff(8652,plain,
% 3.15/3.39 (b(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[581, 8651])).
% 3.15/3.39 tff(8653,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[588, 213, 1, 8652, 8387, 8650])).
% 3.15/3.39 tff(8654,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8655,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8654, 16, 10, 7, 468, 1])).
% 3.15/3.39 tff(8656,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[170, 8655])).
% 3.15/3.39 tff(8657,plain,
% 3.15/3.39 (~r(s(z), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[163, 8656, 10, 7662])).
% 3.15/3.39 tff(8658,plain,
% 3.15/3.39 (b(s(z), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[796, 8657])).
% 3.15/3.39 tff(8659,plain,
% 3.15/3.39 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[1960, 8656, 8589, 7662, 16])).
% 3.15/3.39 tff(8660,plain,
% 3.15/3.39 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[153, 8659])).
% 3.15/3.39 tff(8661,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[3405, 8660, 8658, 7253, 468])).
% 3.15/3.39 tff(8662,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8663,plain,
% 3.15/3.39 (~r(s(s(s(s(z)))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8662, 468, 10, 7, 1])).
% 3.15/3.39 tff(8664,plain,
% 3.15/3.39 (b(s(s(s(s(z)))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[115, 8663])).
% 3.15/3.39 tff(8665,plain,
% 3.15/3.39 (~b(s(z), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8091, 8664, 468, 7253])).
% 3.15/3.39 tff(8666,plain,
% 3.15/3.39 (r(s(z), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[796, 8665])).
% 3.15/3.39 tff(8667,plain,
% 3.15/3.39 (~r(s(s(s(s(z)))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[163, 8666, 10, 7662])).
% 3.15/3.39 tff(8668,plain,
% 3.15/3.39 (b(s(s(s(s(z)))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[170, 8667])).
% 3.15/3.39 tff(8669,plain,
% 3.15/3.39 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8619, 691, 10, 8668, 1, 7, 468])).
% 3.15/3.39 tff(8670,plain,
% 3.15/3.39 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[596, 8669])).
% 3.15/3.39 tff(8671,plain,
% 3.15/3.39 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[7305, 8670, 7253, 8387])).
% 3.15/3.39 tff(8672,plain,
% 3.15/3.39 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[1042, 8671])).
% 3.15/3.39 tff(8673,plain,
% 3.15/3.39 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8599, 8670, 7253, 8387, 468])).
% 3.15/3.39 tff(8674,plain,
% 3.15/3.39 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[153, 8673])).
% 3.15/3.39 tff(8675,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2807, 76, 10, 8674, 8589, 8672, 691])).
% 3.15/3.39 tff(8676,plain,((~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8677,plain,
% 3.15/3.39 (~r(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8676, 468, 10, 1, 7])).
% 3.15/3.39 tff(8678,plain,
% 3.15/3.39 (b(z, s(s(s(z))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[581, 8677])).
% 3.15/3.39 tff(8679,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[588, 213, 1, 1065, 856, 8])).
% 3.15/3.39 tff(8680,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.15/3.39 tff(8681,plain,
% 3.15/3.39 (~b(s(s(s(z))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8680, 8678, 1, 8387])).
% 3.15/3.39 tff(8682,plain,
% 3.15/3.39 (r(s(s(s(z))), s(z))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[535, 8681])).
% 3.15/3.39 tff(8683,plain,
% 3.15/3.39 (~b(s(s(s(z))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8603, 506, 468, 7, 10])).
% 3.15/3.39 tff(8684,plain,
% 3.15/3.39 (r(s(s(s(z))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[2303, 8683])).
% 3.15/3.39 tff(8685,plain,
% 3.15/3.39 (~b(s(z), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[8091, 284, 468, 7253])).
% 3.15/3.39 tff(8686,plain,
% 3.15/3.39 (r(s(z), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[796, 8685])).
% 3.15/3.39 tff(8687,plain,
% 3.15/3.39 (~r(s(s(s(s(z)))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[163, 8686, 10, 2])).
% 3.15/3.39 tff(8688,plain,
% 3.15/3.39 (b(s(s(s(s(z)))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[170, 8687])).
% 3.15/3.39 tff(8689,plain,
% 3.15/3.39 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[260, 252, 10, 2, 8686])).
% 3.15/3.39 tff(8690,plain,
% 3.15/3.39 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[627, 8689])).
% 3.15/3.39 tff(8691,plain,
% 3.15/3.39 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[3089, 8690, 7, 468, 8688])).
% 3.15/3.39 tff(8692,plain,
% 3.15/3.39 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[819, 8691])).
% 3.15/3.39 tff(8693,plain,
% 3.15/3.39 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[7540, 8690, 284, 8688, 7, 281])).
% 3.15/3.39 tff(8694,plain,
% 3.15/3.39 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[316, 8693])).
% 3.15/3.39 tff(8695,plain,
% 3.15/3.39 ($false),
% 3.15/3.39 inference(unit_resolution,[status(thm)],[3216, 8694, 8692, 2, 8686, 252])).
% 3.15/3.39 tff(8696,plain,((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8697,plain,
% 3.25/3.40 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8696, 281, 8664, 7, 7662, 468, 10])).
% 3.25/3.40 tff(8698,plain,
% 3.25/3.40 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[279, 8697])).
% 3.25/3.40 tff(8699,plain,
% 3.25/3.40 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[347, 8698, 10, 8664, 281])).
% 3.25/3.40 tff(8700,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8701,plain,
% 3.25/3.40 (((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8702,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.25/3.40 inference(monotonicity,[status(thm)],[8701])).
% 3.25/3.40 tff(8703,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(transitivity,[status(thm)],[8702, 8700])).
% 3.25/3.40 tff(8704,plain,
% 3.25/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))))),
% 3.25/3.40 inference(quant_inst,[status(thm)],[])).
% 3.25/3.40 tff(8705,plain,
% 3.25/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.25/3.40 inference(modus_ponens,[status(thm)],[8704, 8703])).
% 3.25/3.40 tff(8706,plain,
% 3.25/3.40 ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8705, 213, 1, 281, 8678, 8387])).
% 3.25/3.40 tff(8707,plain,
% 3.25/3.40 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8706, 8698])).
% 3.25/3.40 tff(8708,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[819, 8707, 8699])).
% 3.25/3.40 tff(8709,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8710,plain,
% 3.25/3.40 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8709, 468, 10, 7, 1])).
% 3.25/3.40 tff(8711,plain,
% 3.25/3.40 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[610, 8710])).
% 3.25/3.40 tff(8712,plain,
% 3.25/3.40 (((~![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(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8713,plain,
% 3.25/3.40 ((~![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(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.40 inference(quant_inst,[status(thm)],[])).
% 3.25/3.40 tff(8714,plain,
% 3.25/3.40 ((~![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(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.40 inference(modus_ponens,[status(thm)],[8713, 8712])).
% 3.25/3.40 tff(8715,plain,
% 3.25/3.40 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8714, 76, 7662, 8711, 8682, 8684])).
% 3.25/3.40 tff(8716,plain,
% 3.25/3.40 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[4243, 8715])).
% 3.25/3.40 tff(8717,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8718,plain,
% 3.25/3.40 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8719,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.25/3.40 inference(monotonicity,[status(thm)],[8718])).
% 3.25/3.40 tff(8720,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(transitivity,[status(thm)],[8719, 8717])).
% 3.25/3.40 tff(8721,plain,
% 3.25/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(z))))),
% 3.25/3.40 inference(quant_inst,[status(thm)],[])).
% 3.25/3.40 tff(8722,plain,
% 3.25/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.25/3.40 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 3.25/3.40 tff(8723,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8722, 213, 1, 1065, 868, 856, 867])).
% 3.25/3.40 tff(8724,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8725,plain,
% 3.25/3.40 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8724, 8716, 8678, 8387, 1])).
% 3.25/3.40 tff(8726,plain,
% 3.25/3.40 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[653, 8725])).
% 3.25/3.40 tff(8727,plain,
% 3.25/3.40 (((~![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(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8728,plain,
% 3.25/3.40 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8729,plain,
% 3.25/3.40 (((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.25/3.40 inference(monotonicity,[status(thm)],[8728])).
% 3.25/3.40 tff(8730,plain,
% 3.25/3.40 (((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.25/3.40 inference(transitivity,[status(thm)],[8729, 8727])).
% 3.25/3.40 tff(8731,plain,
% 3.25/3.40 ((~![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(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.40 inference(quant_inst,[status(thm)],[])).
% 3.25/3.40 tff(8732,plain,
% 3.25/3.40 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.25/3.40 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 3.25/3.40 tff(8733,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8732, 76, 15, 1028, 690, 382, 12])).
% 3.25/3.40 tff(8734,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8735,plain,
% 3.25/3.40 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8734, 8726, 7263, 8682, 8561])).
% 3.25/3.40 tff(8736,plain,
% 3.25/3.40 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[436, 8735])).
% 3.25/3.40 tff(8737,plain,
% 3.25/3.40 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[7190, 76, 8711, 8561, 8682])).
% 3.25/3.40 tff(8738,plain,
% 3.25/3.40 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8737, 8726])).
% 3.25/3.40 tff(8739,plain,
% 3.25/3.40 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[484, 8738])).
% 3.25/3.40 tff(8740,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8741,plain,
% 3.25/3.40 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(rewrite,[status(thm)],[])).
% 3.25/3.40 tff(8742,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.25/3.40 inference(monotonicity,[status(thm)],[8741])).
% 3.25/3.40 tff(8743,plain,
% 3.25/3.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(transitivity,[status(thm)],[8742, 8740])).
% 3.25/3.40 tff(8744,plain,
% 3.25/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.40 inference(quant_inst,[status(thm)],[])).
% 3.25/3.40 tff(8745,plain,
% 3.25/3.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.25/3.40 inference(modus_ponens,[status(thm)],[8744, 8743])).
% 3.25/3.40 tff(8746,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8745, 213, 506, 8387, 8739, 8736, 7253])).
% 3.25/3.40 tff(8747,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8748,plain,
% 3.25/3.40 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8747, 468, 1, 7, 10])).
% 3.25/3.40 tff(8749,plain,
% 3.25/3.40 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[596, 8748])).
% 3.25/3.40 tff(8750,plain,
% 3.25/3.40 (~b(s(s(s(z))), z)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[2313, 2305, 191, 1065])).
% 3.25/3.40 tff(8751,plain,
% 3.25/3.40 (r(s(s(s(z))), z)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[2303, 8750])).
% 3.25/3.40 tff(8752,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8243, 6311, 8751, 738, 15, 11])).
% 3.25/3.40 tff(8753,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8754,plain,
% 3.25/3.40 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8753, 8749, 7263, 8589, 8387, 8664, 8668, 8678])).
% 3.25/3.40 tff(8755,plain,
% 3.25/3.40 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[2750, 8754])).
% 3.25/3.40 tff(8756,plain,
% 3.25/3.40 (~r(s(s(s(z))), z)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[3133, 8749, 8589, 8682, 7662])).
% 3.25/3.40 tff(8757,plain,
% 3.25/3.40 (b(s(s(s(z))), z)),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[2303, 8756])).
% 3.25/3.40 tff(8758,plain,
% 3.25/3.40 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8131, 1016, 7, 191, 1065])).
% 3.25/3.40 tff(8759,plain,
% 3.25/3.40 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[153, 8758])).
% 3.25/3.40 tff(8760,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[2684, 7812, 8759, 11, 2410])).
% 3.25/3.40 tff(8761,plain,((~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8762,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8761, 8757, 8755, 8749, 7, 8678, 8668])).
% 3.25/3.40 tff(8763,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(z))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8764,plain,
% 3.25/3.40 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8763, 1, 7, 10])).
% 3.25/3.40 tff(8765,plain,
% 3.25/3.40 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[250, 8764])).
% 3.25/3.40 tff(8766,plain,
% 3.25/3.40 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[3543, 691, 10, 738, 5])).
% 3.25/3.40 tff(8767,plain,
% 3.25/3.40 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[2750, 8766])).
% 3.25/3.40 tff(8768,plain,
% 3.25/3.40 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8038, 691, 10, 738, 5])).
% 3.25/3.40 tff(8769,plain,
% 3.25/3.40 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[596, 8768])).
% 3.25/3.40 tff(8770,plain,
% 3.25/3.40 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[7305, 8769, 4, 856])).
% 3.25/3.40 tff(8771,plain,
% 3.25/3.40 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1042, 8770])).
% 3.25/3.40 tff(8772,plain,
% 3.25/3.40 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[3486, 8771, 10, 738, 691])).
% 3.25/3.40 tff(8773,plain,
% 3.25/3.40 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[1871, 8772])).
% 3.25/3.40 tff(8774,plain,
% 3.25/3.40 (~r(s(s(s(z))), s(z))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[4959, 8773, 15, 5, 8771])).
% 3.25/3.40 tff(8775,plain,
% 3.25/3.40 (b(s(s(s(z))), s(z))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[535, 8774])).
% 3.25/3.40 tff(8776,plain,
% 3.25/3.40 (~r(s(s(s(s(z)))), s(z))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[4971, 8773, 5, 15, 8767, 8771])).
% 3.25/3.40 tff(8777,plain,
% 3.25/3.40 (b(s(s(s(s(z)))), s(z))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[115, 8776])).
% 3.25/3.40 tff(8778,plain,
% 3.25/3.40 ($false),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[3840, 8777, 8775, 856, 8767])).
% 3.25/3.40 tff(8779,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.40 tff(8780,plain,
% 3.25/3.40 (~r(z, s(s(s(z))))),
% 3.25/3.40 inference(unit_resolution,[status(thm)],[8779, 8765, 8387, 7263, 10, 8589, 7253])).
% 3.25/3.41 tff(8781,plain,
% 3.25/3.41 (b(z, s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[581, 8780])).
% 3.25/3.41 tff(8782,plain,
% 3.25/3.41 (~b(s(s(s(z))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8680, 8781, 1, 8387])).
% 3.25/3.41 tff(8783,plain,
% 3.25/3.41 (r(s(s(s(z))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[535, 8782])).
% 3.25/3.41 tff(8784,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1003, 213, 1, 1065, 856, 1016])).
% 3.25/3.41 tff(8785,plain,((~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8786,plain,
% 3.25/3.41 (~b(s(s(s(z))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8785, 1, 8781, 8387])).
% 3.25/3.41 tff(8787,plain,
% 3.25/3.41 (r(s(s(s(z))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2303, 8786])).
% 3.25/3.41 tff(8788,plain,
% 3.25/3.41 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8243, 8787, 8589, 7263, 8783])).
% 3.25/3.41 tff(8789,plain,
% 3.25/3.41 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[596, 8788])).
% 3.25/3.41 tff(8790,plain,
% 3.25/3.41 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7305, 8789, 7253, 8387])).
% 3.25/3.41 tff(8791,plain,
% 3.25/3.41 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1042, 8790])).
% 3.25/3.41 tff(8792,plain,
% 3.25/3.41 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[4959, 8791, 7263, 8765, 8783])).
% 3.25/3.41 tff(8793,plain,
% 3.25/3.41 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1871, 8792])).
% 3.25/3.41 tff(8794,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1564, 8793, 8765, 8791, 7263])).
% 3.25/3.41 tff(8795,plain,
% 3.25/3.41 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[4959, 8561, 15, 5, 12])).
% 3.25/3.41 tff(8796,plain,
% 3.25/3.41 (~r(z, s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8779, 5, 8387, 15, 10, 8589, 7253])).
% 3.25/3.41 tff(8797,plain,
% 3.25/3.41 (b(z, s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[581, 8796])).
% 3.25/3.41 tff(8798,plain,
% 3.25/3.41 (~b(s(s(s(z))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2797, 506, 7, 8797])).
% 3.25/3.41 tff(8799,plain,
% 3.25/3.41 (r(s(s(s(z))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2303, 8798])).
% 3.25/3.41 tff(8800,plain,
% 3.25/3.41 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2935, 8799, 10, 155])).
% 3.25/3.41 tff(8801,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1871, 8800, 8795])).
% 3.25/3.41 tff(8802,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8803,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8802, 8789, 10, 7263, 8765, 8783, 7])).
% 3.25/3.41 tff(8804,plain,
% 3.25/3.41 (b(s(s(s(s(z)))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[170, 8803])).
% 3.25/3.41 tff(8805,plain,
% 3.25/3.41 (~r(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[4953, 8791, 7263, 8765, 8783])).
% 3.25/3.41 tff(8806,plain,
% 3.25/3.41 (b(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[796, 8805])).
% 3.25/3.41 tff(8807,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1142, 8806, 1, 8804])).
% 3.25/3.41 tff(8808,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[115, 8807, 8794])).
% 3.25/3.41 tff(8809,plain,((~b(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8810,plain,
% 3.25/3.41 (~b(z, s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8809, 10, 7])).
% 3.25/3.41 tff(8811,plain,
% 3.25/3.41 (r(z, s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[370, 8810])).
% 3.25/3.41 tff(8812,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2894, 5, 10, 8589])).
% 3.25/3.41 tff(8813,plain,
% 3.25/3.41 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[153, 8812])).
% 3.25/3.41 tff(8814,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7566, 8813, 8589, 8811, 7253, 10])).
% 3.25/3.41 tff(8815,plain,
% 3.25/3.41 (b(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[115, 8814])).
% 3.25/3.41 tff(8816,plain,
% 3.25/3.41 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8197, 8815, 7253, 10, 8589])).
% 3.25/3.41 tff(8817,plain,
% 3.25/3.41 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[450, 8816])).
% 3.25/3.41 tff(8818,plain,
% 3.25/3.41 (~r(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8207, 8817, 10, 8589, 8811])).
% 3.25/3.41 tff(8819,plain,
% 3.25/3.41 (b(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[796, 8818])).
% 3.25/3.41 tff(8820,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7566, 8137, 738, 350, 4, 10])).
% 3.25/3.41 tff(8821,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8779, 5, 856, 691, 10, 738, 4])).
% 3.25/3.41 tff(8822,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[450, 8821])).
% 3.25/3.41 tff(8823,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8197, 8822, 4, 10, 738])).
% 3.25/3.41 tff(8824,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[115, 8823, 8820])).
% 3.25/3.41 tff(8825,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8826,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8825, 691, 10, 8589, 8811, 8387, 7253])).
% 3.25/3.41 tff(8827,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[250, 8826])).
% 3.25/3.41 tff(8828,plain,
% 3.25/3.41 (~r(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8207, 15, 10, 738, 350])).
% 3.25/3.41 tff(8829,plain,
% 3.25/3.41 (b(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[796, 8828])).
% 3.25/3.41 tff(8830,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7855, 15, 10, 738, 350])).
% 3.25/3.41 tff(8831,plain,
% 3.25/3.41 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[153, 8830])).
% 3.25/3.41 tff(8832,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[3405, 8831, 8829, 4, 468])).
% 3.25/3.41 tff(8833,plain,((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8834,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8833, 8827, 7253, 10, 8589, 8811])).
% 3.25/3.41 tff(8835,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[450, 8834])).
% 3.25/3.41 tff(8836,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8197, 3, 7253, 10, 8589])).
% 3.25/3.41 tff(8837,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[115, 8836])).
% 3.25/3.41 tff(8838,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7566, 8837, 8589, 8811, 7253, 10])).
% 3.25/3.41 tff(8839,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[153, 8838])).
% 3.25/3.41 tff(8840,plain,
% 3.25/3.41 (~r(s(z), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[3355, 8837, 8811, 155])).
% 3.25/3.41 tff(8841,plain,
% 3.25/3.41 (b(s(z), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[3759, 8840])).
% 3.25/3.41 tff(8842,plain,
% 3.25/3.41 (~r(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[358, 8837, 10, 8811])).
% 3.25/3.41 tff(8843,plain,
% 3.25/3.41 (b(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[796, 8842])).
% 3.25/3.41 tff(8844,plain,
% 3.25/3.41 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2935, 2296, 10, 155])).
% 3.25/3.41 tff(8845,plain,
% 3.25/3.41 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1871, 8844])).
% 3.25/3.41 tff(8846,plain,
% 3.25/3.41 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[5922, 8845, 8387, 691, 3, 155, 8837, 8843, 8841, 7])).
% 3.25/3.41 tff(8847,plain,
% 3.25/3.41 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1042, 8846])).
% 3.25/3.41 tff(8848,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2357, 8845, 8387, 8843])).
% 3.25/3.41 tff(8849,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2750, 8848])).
% 3.25/3.41 tff(8850,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[6618, 8849, 8847, 155, 8839, 2296])).
% 3.25/3.41 tff(8851,plain,((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8852,plain,
% 3.25/3.41 (~r(s(s(s(z))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8851, 3, 691, 155, 7, 10])).
% 3.25/3.41 tff(8853,plain,
% 3.25/3.41 (b(s(s(s(z))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2303, 8852])).
% 3.25/3.41 tff(8854,plain,
% 3.25/3.41 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8603, 8853, 8827, 7, 10])).
% 3.25/3.41 tff(8855,plain,
% 3.25/3.41 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[596, 8854])).
% 3.25/3.41 tff(8856,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[5352, 8855, 691, 155, 8839])).
% 3.25/3.41 tff(8857,plain,
% 3.25/3.41 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2750, 8856])).
% 3.25/3.41 tff(8858,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[3914, 213, 8841, 8843, 3, 7, 8827, 8853, 8857])).
% 3.25/3.41 tff(8859,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8860,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8859, 8835, 691, 7, 10])).
% 3.25/3.41 tff(8861,plain,
% 3.25/3.41 (b(s(s(s(s(z)))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[170, 8860])).
% 3.25/3.41 tff(8862,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8197, 8835, 7253, 10, 8589])).
% 3.25/3.41 tff(8863,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[115, 8862])).
% 3.25/3.41 tff(8864,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7566, 8863, 8589, 8811, 7253, 10])).
% 3.25/3.41 tff(8865,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[153, 8864])).
% 3.25/3.41 tff(8866,plain,
% 3.25/3.41 (~r(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[358, 8863, 10, 8811])).
% 3.25/3.41 tff(8867,plain,
% 3.25/3.41 (b(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[796, 8866])).
% 3.25/3.41 tff(8868,plain,
% 3.25/3.41 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1349, 76, 10, 11, 8865, 2296])).
% 3.25/3.41 tff(8869,plain,
% 3.25/3.41 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1871, 8868])).
% 3.25/3.41 tff(8870,plain,
% 3.25/3.41 (~b(s(z), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[4147, 8869, 10, 8387, 8861, 8865, 11, 8835, 7])).
% 3.25/3.41 tff(8871,plain,
% 3.25/3.41 (r(s(z), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[3759, 8870])).
% 3.25/3.41 tff(8872,plain,
% 3.25/3.41 (~r(s(s(s(z))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2775, 8871, 8811, 2296])).
% 3.25/3.41 tff(8873,plain,
% 3.25/3.41 (b(s(s(s(z))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[535, 8872])).
% 3.25/3.41 tff(8874,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[3157, 11, 691, 8589])).
% 3.25/3.41 tff(8875,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1042, 8874])).
% 3.25/3.41 tff(8876,plain,
% 3.25/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.41 inference(rewrite,[status(thm)],[])).
% 3.25/3.41 tff(8877,plain,
% 3.25/3.41 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.41 inference(rewrite,[status(thm)],[])).
% 3.25/3.41 tff(8878,plain,
% 3.25/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.25/3.41 inference(monotonicity,[status(thm)],[8877])).
% 3.25/3.41 tff(8879,plain,
% 3.25/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.41 inference(transitivity,[status(thm)],[8878, 8876])).
% 3.25/3.41 tff(8880,plain,
% 3.25/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.25/3.41 inference(quant_inst,[status(thm)],[])).
% 3.25/3.41 tff(8881,plain,
% 3.25/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.25/3.41 inference(modus_ponens,[status(thm)],[8880, 8879])).
% 3.25/3.41 tff(8882,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8881, 213, 8835, 8875, 8827, 8873, 7253, 8869])).
% 3.25/3.41 tff(8883,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8884,plain,
% 3.25/3.41 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8883, 2296, 10, 7, 691])).
% 3.25/3.41 tff(8885,plain,
% 3.25/3.41 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[596, 8884])).
% 3.25/3.41 tff(8886,plain,
% 3.25/3.41 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7305, 8885, 7253, 8387])).
% 3.25/3.41 tff(8887,plain,
% 3.25/3.41 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1042, 8886])).
% 3.25/3.41 tff(8888,plain,
% 3.25/3.41 (~b(s(s(s(z))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7428, 8885, 7253, 8835])).
% 3.25/3.41 tff(8889,plain,
% 3.25/3.41 (r(s(s(s(z))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[535, 8888])).
% 3.25/3.41 tff(8890,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7875, 8889, 8887, 8863, 8865, 8827, 2296, 10, 8885])).
% 3.25/3.41 tff(8891,plain,((~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8892,plain,
% 3.25/3.41 (~r(s(s(s(z))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8891, 691, 7, 10])).
% 3.25/3.41 tff(8893,plain,
% 3.25/3.41 (b(s(s(s(z))), z)),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2303, 8892])).
% 3.25/3.41 tff(8894,plain,
% 3.25/3.41 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8603, 8893, 8827, 7, 10])).
% 3.25/3.41 tff(8895,plain,
% 3.25/3.41 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[596, 8894])).
% 3.25/3.41 tff(8896,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[3157, 8895, 691, 8589])).
% 3.25/3.41 tff(8897,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1042, 8896])).
% 3.25/3.41 tff(8898,plain,
% 3.25/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.25/3.41 inference(rewrite,[status(thm)],[])).
% 3.25/3.41 tff(8899,plain,
% 3.25/3.41 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.25/3.41 inference(rewrite,[status(thm)],[])).
% 3.25/3.41 tff(8900,plain,
% 3.25/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.25/3.41 inference(monotonicity,[status(thm)],[8899])).
% 3.25/3.41 tff(8901,plain,
% 3.25/3.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.25/3.41 inference(transitivity,[status(thm)],[8900, 8898])).
% 3.25/3.41 tff(8902,plain,
% 3.25/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.25/3.41 inference(quant_inst,[status(thm)],[])).
% 3.25/3.41 tff(8903,plain,
% 3.25/3.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.25/3.41 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 3.25/3.41 tff(8904,plain,
% 3.25/3.41 (~b(s(s(s(z))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8903, 213, 8867, 8861, 8835, 8897, 7, 8893])).
% 3.25/3.41 tff(8905,plain,
% 3.25/3.41 (r(s(s(s(z))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[535, 8904])).
% 3.25/3.41 tff(8906,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8833, 468, 7253, 10, 8589, 8811])).
% 3.25/3.41 tff(8907,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[450, 8906])).
% 3.25/3.41 tff(8908,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8197, 8907, 7253, 10, 8589])).
% 3.25/3.41 tff(8909,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[115, 8908])).
% 3.25/3.41 tff(8910,plain,
% 3.25/3.41 (~r(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[358, 8909, 10, 8811])).
% 3.25/3.41 tff(8911,plain,
% 3.25/3.41 (b(s(z), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[796, 8910])).
% 3.25/3.41 tff(8912,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7566, 8909, 8589, 8811, 7253, 10])).
% 3.25/3.41 tff(8913,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[153, 8912])).
% 3.25/3.41 tff(8914,plain,
% 3.25/3.41 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8470, 281, 7253, 8907])).
% 3.25/3.41 tff(8915,plain,
% 3.25/3.41 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[484, 8914])).
% 3.25/3.41 tff(8916,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[4228, 8915, 468, 8913, 10, 191, 8589, 7])).
% 3.25/3.41 tff(8917,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[316, 8916])).
% 3.25/3.41 tff(8918,plain,
% 3.25/3.41 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8460, 281, 7252, 8907])).
% 3.25/3.41 tff(8919,plain,
% 3.25/3.41 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[436, 8918])).
% 3.25/3.41 tff(8920,plain,
% 3.25/3.41 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2251, 8919, 8913, 8915])).
% 3.25/3.41 tff(8921,plain,
% 3.25/3.41 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[338, 8920])).
% 3.25/3.41 tff(8922,plain,
% 3.25/3.41 ($false),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1432, 8921, 8917, 8911, 281])).
% 3.25/3.41 tff(8923,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.41 tff(8924,plain,
% 3.25/3.41 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8923, 8827, 10, 8861, 7])).
% 3.25/3.41 tff(8925,plain,
% 3.25/3.41 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[610, 8924])).
% 3.25/3.41 tff(8926,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1767, 282, 10, 738, 6])).
% 3.25/3.41 tff(8927,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[316, 8926])).
% 3.25/3.41 tff(8928,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[4296, 8927, 468, 3, 782])).
% 3.25/3.41 tff(8929,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[338, 8928])).
% 3.25/3.41 tff(8930,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[828, 8929, 10, 738, 282])).
% 3.25/3.41 tff(8931,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[484, 8930])).
% 3.25/3.41 tff(8932,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[3157, 11, 691, 738])).
% 3.25/3.41 tff(8933,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[1042, 8932])).
% 3.25/3.41 tff(8934,plain,
% 3.25/3.41 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[699, 8929, 10, 691, 282])).
% 3.25/3.41 tff(8935,plain,
% 3.25/3.41 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[653, 8934])).
% 3.25/3.41 tff(8936,plain,
% 3.25/3.41 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[5900, 8935, 8933, 8931])).
% 3.25/3.41 tff(8937,plain,
% 3.25/3.41 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[4243, 8936])).
% 3.25/3.41 tff(8938,plain,
% 3.25/3.41 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[8197, 3, 4, 10, 738])).
% 3.25/3.41 tff(8939,plain,
% 3.25/3.41 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[115, 8938])).
% 3.25/3.41 tff(8940,plain,
% 3.25/3.41 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[2558, 8929, 8939, 706])).
% 3.25/3.41 tff(8941,plain,
% 3.25/3.41 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[279, 8940])).
% 3.25/3.41 tff(8942,plain,
% 3.25/3.41 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[7504, 8941, 4, 8931])).
% 3.25/3.41 tff(8943,plain,
% 3.25/3.41 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.41 inference(unit_resolution,[status(thm)],[436, 8942])).
% 3.25/3.41 tff(8944,plain,
% 3.25/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.41 inference(rewrite,[status(thm)],[])).
% 3.25/3.41 tff(8945,plain,
% 3.25/3.41 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.41 inference(rewrite,[status(thm)],[])).
% 3.25/3.41 tff(8946,plain,
% 3.25/3.41 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.25/3.42 inference(monotonicity,[status(thm)],[8945])).
% 3.25/3.42 tff(8947,plain,
% 3.25/3.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.42 inference(transitivity,[status(thm)],[8946, 8944])).
% 3.25/3.42 tff(8948,plain,
% 3.25/3.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(quant_inst,[status(thm)],[])).
% 3.25/3.42 tff(8949,plain,
% 3.25/3.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.42 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 3.25/3.42 tff(8950,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8949, 76, 11, 706, 382, 12, 3645])).
% 3.25/3.42 tff(8951,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(8952,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8951, 8943, 8937, 12, 11, 706])).
% 3.25/3.42 tff(8953,plain,((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(8954,plain,
% 3.25/3.42 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8953, 8925, 8895, 8905, 7253, 10, 8589, 691, 8827, 8835, 8867, 8865])).
% 3.25/3.42 tff(8955,plain,
% 3.25/3.42 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[819, 8954])).
% 3.25/3.42 tff(8956,plain,
% 3.25/3.42 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3089, 8955, 7, 8827, 8861])).
% 3.25/3.42 tff(8957,plain,
% 3.25/3.42 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8953, 706, 8895, 8905, 7253, 10, 8589, 691, 8827, 8835, 8867, 8865])).
% 3.25/3.42 tff(8958,plain,
% 3.25/3.42 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[819, 8957])).
% 3.25/3.42 tff(8959,plain,
% 3.25/3.42 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3089, 8958, 7, 8827, 8861])).
% 3.25/3.42 tff(8960,plain,
% 3.25/3.42 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[627, 8959])).
% 3.25/3.42 tff(8961,plain,
% 3.25/3.42 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[4308, 76, 10, 8863, 706])).
% 3.25/3.42 tff(8962,plain,
% 3.25/3.42 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8961, 8960])).
% 3.25/3.42 tff(8963,plain,
% 3.25/3.42 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[316, 8962])).
% 3.25/3.42 tff(8964,plain,
% 3.25/3.42 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[4296, 8963, 8827, 8835, 8867])).
% 3.25/3.42 tff(8965,plain,
% 3.25/3.42 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[338, 8964])).
% 3.25/3.42 tff(8966,plain,
% 3.25/3.42 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2558, 8965, 8863, 706])).
% 3.25/3.42 tff(8967,plain,
% 3.25/3.42 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[279, 8966])).
% 3.25/3.42 tff(8968,plain,
% 3.25/3.42 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[5669, 76, 706, 691, 8905])).
% 3.25/3.42 tff(8969,plain,
% 3.25/3.42 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8968, 8960])).
% 3.25/3.42 tff(8970,plain,
% 3.25/3.42 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[653, 8969])).
% 3.25/3.42 tff(8971,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.25/3.42 inference(rewrite,[status(thm)],[])).
% 3.25/3.42 tff(8972,plain,
% 3.25/3.42 (((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.25/3.42 inference(rewrite,[status(thm)],[])).
% 3.25/3.42 tff(8973,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.25/3.42 inference(monotonicity,[status(thm)],[8972])).
% 3.25/3.42 tff(8974,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.25/3.42 inference(transitivity,[status(thm)],[8973, 8971])).
% 3.25/3.42 tff(8975,plain,
% 3.25/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.25/3.42 inference(quant_inst,[status(thm)],[])).
% 3.25/3.42 tff(8976,plain,
% 3.25/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.25/3.42 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 3.25/3.42 tff(8977,plain,
% 3.25/3.42 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8976, 213, 3771, 8835, 8970, 7, 8967, 8893])).
% 3.25/3.42 tff(8978,plain,
% 3.25/3.42 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[436, 8977])).
% 3.25/3.42 tff(8979,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.42 inference(rewrite,[status(thm)],[])).
% 3.25/3.42 tff(8980,plain,
% 3.25/3.42 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.42 inference(rewrite,[status(thm)],[])).
% 3.25/3.42 tff(8981,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.25/3.42 inference(monotonicity,[status(thm)],[8980])).
% 3.25/3.42 tff(8982,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.42 inference(transitivity,[status(thm)],[8981, 8979])).
% 3.25/3.42 tff(8983,plain,
% 3.25/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.42 inference(quant_inst,[status(thm)],[])).
% 3.25/3.42 tff(8984,plain,
% 3.25/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.25/3.42 inference(modus_ponens,[status(thm)],[8983, 8982])).
% 3.25/3.42 tff(8985,plain,
% 3.25/3.42 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8984, 213, 8835, 8970, 8387, 8967, 7253])).
% 3.25/3.42 tff(8986,plain,
% 3.25/3.42 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[484, 8985])).
% 3.25/3.42 tff(8987,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2251, 8986, 8978, 8865, 8965])).
% 3.25/3.42 tff(8988,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(8989,plain,
% 3.25/3.42 (~b(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8988, 8925, 7, 691, 10])).
% 3.25/3.42 tff(8990,plain,
% 3.25/3.42 (r(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3759, 8989])).
% 3.25/3.42 tff(8991,plain,
% 3.25/3.42 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[917, 8990, 8811, 8925])).
% 3.25/3.42 tff(8992,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[627, 8991, 8956])).
% 3.25/3.42 tff(8993,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(8994,plain,
% 3.25/3.42 (~r(z, s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8993, 10, 7])).
% 3.25/3.42 tff(8995,plain,
% 3.25/3.42 (b(z, s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[581, 8994])).
% 3.25/3.42 tff(8996,plain,
% 3.25/3.42 (~b(s(s(s(z))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2797, 506, 7, 8995])).
% 3.25/3.42 tff(8997,plain,
% 3.25/3.42 (r(s(s(s(z))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2303, 8996])).
% 3.25/3.42 tff(8998,plain,
% 3.25/3.42 (~r(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8371, 8997, 8815, 8819, 5, 8561, 10, 8817])).
% 3.25/3.42 tff(8999,plain,
% 3.25/3.42 (~b(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8233, 8997, 8995, 8819, 8813, 10, 506, 8815, 8817, 7])).
% 3.25/3.42 tff(9000,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3759, 8999, 8998])).
% 3.25/3.42 tff(9001,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(9002,plain,
% 3.25/3.42 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[9001, 5, 7, 10])).
% 3.25/3.42 tff(9003,plain,
% 3.25/3.42 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[596, 9002])).
% 3.25/3.42 tff(9004,plain,
% 3.25/3.42 (~b(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[7845, 1016, 8995, 7])).
% 3.25/3.42 tff(9005,plain,
% 3.25/3.42 (r(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3759, 9004])).
% 3.25/3.42 tff(9006,plain,
% 3.25/3.42 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8147, 1016, 10, 8589, 7, 5, 8995, 8815, 8819])).
% 3.25/3.42 tff(9007,plain,
% 3.25/3.42 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[610, 9006])).
% 3.25/3.42 tff(9008,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8581, 9007, 9005, 8811, 8995, 7, 8817, 1016])).
% 3.25/3.42 tff(9009,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(9010,plain,
% 3.25/3.42 (~b(s(s(s(z))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[9009, 5, 10, 7])).
% 3.25/3.42 tff(9011,plain,
% 3.25/3.42 (r(s(s(s(z))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2303, 9010])).
% 3.25/3.42 tff(9012,plain,
% 3.25/3.42 (~r(s(s(s(z))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8243, 9011, 8589, 8817, 9003])).
% 3.25/3.42 tff(9013,plain,
% 3.25/3.42 (b(s(s(s(z))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[535, 9012])).
% 3.25/3.42 tff(9014,plain,
% 3.25/3.42 (~b(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[6470, 9013, 8387, 8995])).
% 3.25/3.42 tff(9015,plain,
% 3.25/3.42 (r(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3759, 9014])).
% 3.25/3.42 tff(9016,plain,
% 3.25/3.42 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8371, 9015, 8815, 8819, 5, 9011, 10, 8817])).
% 3.25/3.42 tff(9017,plain,
% 3.25/3.42 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1042, 9016])).
% 3.25/3.42 tff(9018,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8515, 213, 9017, 8387, 9013, 7253])).
% 3.25/3.42 tff(9019,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(9020,plain,
% 3.25/3.42 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[9019, 10, 7])).
% 3.25/3.42 tff(9021,plain,
% 3.25/3.42 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[250, 9020])).
% 3.25/3.42 tff(9022,plain,
% 3.25/3.42 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8833, 9021, 7253, 10, 8589, 8811])).
% 3.25/3.42 tff(9023,plain,
% 3.25/3.42 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[450, 9022])).
% 3.25/3.42 tff(9024,plain,
% 3.25/3.42 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8197, 9023, 7253, 10, 8589])).
% 3.25/3.42 tff(9025,plain,
% 3.25/3.42 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[115, 9024])).
% 3.25/3.42 tff(9026,plain,
% 3.25/3.42 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[7566, 9025, 8589, 8811, 7253, 10])).
% 3.25/3.42 tff(9027,plain,
% 3.25/3.42 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[153, 9026])).
% 3.25/3.42 tff(9028,plain,
% 3.25/3.42 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[7877, 2296, 8995, 9021, 10, 9023, 9025, 7, 9027])).
% 3.25/3.42 tff(9029,plain,
% 3.25/3.42 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[596, 9028])).
% 3.25/3.42 tff(9030,plain,
% 3.25/3.42 (~r(s(z), s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[358, 9025, 10, 8811])).
% 3.25/3.42 tff(9031,plain,
% 3.25/3.42 (b(s(z), s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[796, 9030])).
% 3.25/3.42 tff(9032,plain,
% 3.25/3.42 (~b(s(s(s(z))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2700, 2305, 856, 782])).
% 3.25/3.42 tff(9033,plain,
% 3.25/3.42 (r(s(s(s(z))), s(z))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[535, 9032])).
% 3.25/3.42 tff(9034,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[4278, 9033, 2417, 10, 16, 2296])).
% 3.25/3.42 tff(9035,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(9036,plain,
% 3.25/3.42 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[9035, 2296, 9025, 10, 8387, 9031])).
% 3.25/3.42 tff(9037,plain,
% 3.25/3.42 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2750, 9036])).
% 3.25/3.42 tff(9038,plain,
% 3.25/3.42 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2690, 9037, 10, 7, 9027, 9029])).
% 3.25/3.42 tff(9039,plain,
% 3.25/3.42 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1871, 9038])).
% 3.25/3.42 tff(9040,plain,
% 3.25/3.42 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2684, 9037, 9027, 9029])).
% 3.25/3.42 tff(9041,plain,
% 3.25/3.42 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1042, 9040])).
% 3.25/3.42 tff(9042,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.42 inference(rewrite,[status(thm)],[])).
% 3.25/3.42 tff(9043,plain,
% 3.25/3.42 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.42 inference(rewrite,[status(thm)],[])).
% 3.25/3.42 tff(9044,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.25/3.42 inference(monotonicity,[status(thm)],[9043])).
% 3.25/3.42 tff(9045,plain,
% 3.25/3.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.25/3.42 inference(transitivity,[status(thm)],[9044, 9042])).
% 3.25/3.42 tff(9046,plain,
% 3.25/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.42 inference(quant_inst,[status(thm)],[])).
% 3.25/3.42 tff(9047,plain,
% 3.25/3.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.25/3.42 inference(modus_ponens,[status(thm)],[9046, 9045])).
% 3.25/3.42 tff(9048,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[9047, 213, 782, 191, 1507, 1065, 856, 468, 4])).
% 3.25/3.42 tff(9049,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(9050,plain,
% 3.25/3.42 (~b(s(s(s(s(z)))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[9049, 9041, 9031, 8995, 8387, 9021, 7253])).
% 3.25/3.42 tff(9051,plain,
% 3.25/3.42 (r(s(s(s(s(z)))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[170, 9050])).
% 3.25/3.42 tff(9052,plain,
% 3.25/3.42 (~r(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[5388, 9051, 8387, 7, 9023, 9025, 9037])).
% 3.25/3.42 tff(9053,plain,
% 3.25/3.42 (b(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3759, 9052])).
% 3.25/3.42 tff(9054,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[7889, 213, 9053, 9031, 9023, 8995, 7, 9021, 9039])).
% 3.25/3.42 tff(9055,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(9056,plain,
% 3.25/3.42 (~r(s(s(s(z))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[9055, 10, 7])).
% 3.25/3.42 tff(9057,plain,
% 3.25/3.42 (b(s(s(s(z))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2303, 9056])).
% 3.25/3.42 tff(9058,plain,
% 3.25/3.42 (~b(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[7845, 9057, 8995, 7])).
% 3.25/3.42 tff(9059,plain,
% 3.25/3.42 (r(s(z), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3759, 9058])).
% 3.25/3.42 tff(9060,plain,
% 3.25/3.42 (~r(s(s(s(s(z)))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[3355, 9059, 8811, 9025])).
% 3.25/3.42 tff(9061,plain,
% 3.25/3.42 (b(s(s(s(s(z)))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[170, 9060])).
% 3.25/3.42 tff(9062,plain,
% 3.25/3.42 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[8603, 9057, 9021, 7, 10])).
% 3.25/3.42 tff(9063,plain,
% 3.25/3.42 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[596, 9062])).
% 3.25/3.42 tff(9064,plain,
% 3.25/3.42 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1515, 9057, 7, 8995])).
% 3.25/3.42 tff(9065,plain,
% 3.25/3.42 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[1042, 9064])).
% 3.25/3.42 tff(9066,plain,
% 3.25/3.42 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2684, 9065, 9027, 9063])).
% 3.25/3.42 tff(9067,plain,
% 3.25/3.42 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2750, 9066])).
% 3.25/3.42 tff(9068,plain,
% 3.25/3.42 ($false),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[2313, 9067, 9061, 8995, 9057])).
% 3.25/3.42 tff(9069,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.42 tff(9070,plain,
% 3.25/3.42 (~r(z, s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[9069, 7])).
% 3.25/3.42 tff(9071,plain,
% 3.25/3.42 (b(z, s(s(s(s(z)))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[5013, 9070])).
% 3.25/3.42 tff(9072,plain,
% 3.25/3.42 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[5035, 468, 7, 9071])).
% 3.25/3.42 tff(9073,plain,
% 3.25/3.42 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[153, 9072])).
% 3.25/3.42 tff(9074,plain,
% 3.25/3.42 (~b(s(s(s(s(z)))), z)),
% 3.25/3.42 inference(unit_resolution,[status(thm)],[5279, 203, 7, 9071])).
% 3.25/3.43 tff(9075,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[170, 9074])).
% 3.25/3.43 tff(9076,plain,
% 3.25/3.43 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1949, 202, 7, 1016])).
% 3.25/3.43 tff(9077,plain,
% 3.25/3.43 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[596, 9076])).
% 3.25/3.43 tff(9078,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[6269, 202, 7, 9071])).
% 3.25/3.43 tff(9079,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[153, 9078])).
% 3.25/3.43 tff(9080,plain,
% 3.25/3.43 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2664, 9079, 5, 9077])).
% 3.25/3.43 tff(9081,plain,
% 3.25/3.43 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1871, 9080])).
% 3.25/3.43 tff(9082,plain,
% 3.25/3.43 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2684, 9079, 1028, 9077])).
% 3.25/3.43 tff(9083,plain,
% 3.25/3.43 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2750, 9082])).
% 3.25/3.43 tff(9084,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[5644, 9083, 9081, 9071, 1016])).
% 3.25/3.43 tff(9085,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9086,plain,
% 3.25/3.43 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9085, 1016, 1028, 5, 7])).
% 3.25/3.43 tff(9087,plain,
% 3.25/3.43 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[233, 9086])).
% 3.25/3.43 tff(9088,plain,
% 3.25/3.43 (~b(s(z), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[8034, 9087, 1027, 1016, 7])).
% 3.25/3.43 tff(9089,plain,
% 3.25/3.43 (r(s(z), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[3759, 9088])).
% 3.25/3.43 tff(9090,plain,
% 3.25/3.43 (~r(z, s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[5358, 9075, 1027, 117, 9089])).
% 3.25/3.43 tff(9091,plain,
% 3.25/3.43 (b(z, s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[581, 9090])).
% 3.25/3.43 tff(9092,plain,
% 3.25/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.25/3.43 inference(rewrite,[status(thm)],[])).
% 3.25/3.43 tff(9093,plain,
% 3.25/3.43 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.25/3.43 inference(rewrite,[status(thm)],[])).
% 3.25/3.43 tff(9094,plain,
% 3.25/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.25/3.43 inference(monotonicity,[status(thm)],[9093])).
% 3.25/3.43 tff(9095,plain,
% 3.25/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.25/3.43 inference(transitivity,[status(thm)],[9094, 9092])).
% 3.25/3.43 tff(9096,plain,
% 3.25/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 3.25/3.43 inference(quant_inst,[status(thm)],[])).
% 3.25/3.43 tff(9097,plain,
% 3.25/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.25/3.43 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 3.25/3.43 tff(9098,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9097, 213, 5015, 1065, 1016, 2305])).
% 3.25/3.43 tff(9099,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9100,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9099, 9091, 9071, 1016])).
% 3.25/3.43 tff(9101,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2750, 9100])).
% 3.25/3.43 tff(9102,plain,
% 3.25/3.43 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.25/3.43 inference(rewrite,[status(thm)],[])).
% 3.25/3.43 tff(9103,plain,
% 3.25/3.43 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.25/3.43 inference(rewrite,[status(thm)],[])).
% 3.25/3.43 tff(9104,plain,
% 3.25/3.43 (((~![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(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(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(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.25/3.43 inference(monotonicity,[status(thm)],[9103])).
% 3.25/3.43 tff(9105,plain,
% 3.25/3.43 (((~![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(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(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(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.25/3.43 inference(transitivity,[status(thm)],[9104, 9102])).
% 3.25/3.43 tff(9106,plain,
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% 3.25/3.43 inference(quant_inst,[status(thm)],[])).
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% 3.25/3.43 inference(modus_ponens,[status(thm)],[9106, 9105])).
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% 3.25/3.43 tff(9110,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[9109, 9101, 117, 5, 1028])).
% 3.25/3.43 tff(9111,plain,
% 3.25/3.43 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[450, 9110])).
% 3.25/3.43 tff(9112,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[7261, 9111, 7])).
% 3.25/3.43 tff(9113,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[370, 9112])).
% 3.25/3.43 tff(9114,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[8061, 9111, 7253, 203])).
% 3.25/3.43 tff(9115,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[115, 9114])).
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[3355, 9115, 9113, 9089, 9075])).
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% 3.25/3.43 tff(9118,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9117, 1016, 117, 5, 1028, 7, 1027])).
% 3.25/3.43 tff(9119,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[153, 9118])).
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[8215, 691, 1027, 9087, 7253])).
% 3.25/3.43 tff(9121,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[370, 9120])).
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% 3.25/3.43 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[7261, 9121, 7])).
% 3.25/3.43 tff(9123,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[450, 9122])).
% 3.25/3.43 tff(9124,plain,
% 3.25/3.43 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[7741, 691, 1027, 117, 9089])).
% 3.25/3.43 tff(9125,plain,
% 3.25/3.43 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1871, 9124])).
% 3.25/3.43 tff(9126,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[5644, 9125, 9071, 1016])).
% 3.25/3.43 tff(9127,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2750, 9126])).
% 3.25/3.43 tff(9128,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[9109, 9127, 9123, 117, 5, 1028])).
% 3.25/3.43 tff(9129,plain,((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9130,plain,
% 3.25/3.43 (~r(z, s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9129, 1016, 5, 1028, 117, 7, 1027])).
% 3.25/3.43 tff(9131,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[581, 9130])).
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% 3.25/3.43 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2797, 9131, 7, 1016])).
% 3.25/3.43 tff(9133,plain,
% 3.25/3.43 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[596, 9132])).
% 3.25/3.43 tff(9134,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9099, 9131, 9071, 1016])).
% 3.25/3.43 tff(9135,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2750, 9134])).
% 3.25/3.43 tff(9136,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2684, 9135, 9133, 1028, 9119])).
% 3.25/3.43 tff(9137,plain,((~b(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9138,plain,
% 3.25/3.43 (~b(s(s(s(z))), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9137, 1028, 7, 5, 117, 1027])).
% 3.25/3.43 tff(9139,plain,
% 3.25/3.43 (r(s(s(s(z))), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2303, 9138])).
% 3.25/3.43 tff(9140,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[7931, 691, 1027, 2296])).
% 3.25/3.43 tff(9141,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[3759, 9140])).
% 3.25/3.43 tff(9142,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[7588, 9141, 7, 7253])).
% 3.25/3.43 tff(9143,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[370, 9142])).
% 3.25/3.43 tff(9144,plain,
% 3.25/3.43 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[7271, 9141, 7, 7253])).
% 3.25/3.43 tff(9145,plain,
% 3.25/3.43 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[233, 9144])).
% 3.25/3.43 tff(9146,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[8215, 9145, 9143, 1027, 691, 7253])).
% 3.25/3.43 tff(9147,plain,((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9148,plain,
% 3.25/3.43 (~r(z, s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9147, 9139, 7, 1027])).
% 3.25/3.43 tff(9149,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[581, 9148])).
% 3.25/3.43 tff(9150,plain,
% 3.25/3.43 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9109, 2410, 117, 5, 1028])).
% 3.25/3.43 tff(9151,plain,
% 3.25/3.43 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[450, 9150])).
% 3.25/3.43 tff(9152,plain,
% 3.25/3.43 (~r(s(s(s(s(z)))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[7701, 2410, 1027, 2296, 155])).
% 3.25/3.43 tff(9153,plain,
% 3.25/3.43 (b(s(s(s(s(z)))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[115, 9152])).
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[8061, 9153, 9151, 4, 203])).
% 3.25/3.43 tff(9155,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9156,plain,
% 3.25/3.43 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9155, 203, 7253, 1027, 9139, 9075, 117, 5, 1028])).
% 3.25/3.43 tff(9157,plain,
% 3.25/3.43 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2750, 9156])).
% 3.25/3.43 tff(9158,plain,
% 3.25/3.43 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[5307, 9157, 9071, 9149])).
% 3.25/3.43 tff(9159,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[1871, 9158])).
% 3.25/3.43 tff(9160,plain,
% 3.25/3.43 ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[5295, 76, 9075, 5, 9139])).
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% 3.25/3.43 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 3.25/3.43 tff(9162,plain,
% 3.25/3.43 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[596, 9161])).
% 3.25/3.43 tff(9163,plain,
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% 3.25/3.43 inference(unit_resolution,[status(thm)],[6303, 9159, 117, 9075, 9139])).
% 3.25/3.43 tff(9164,plain,
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% 3.25/3.43 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[7428, 9164, 7253, 9162])).
% 3.25/3.43 tff(9166,plain,
% 3.25/3.43 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[450, 9165])).
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% 3.25/3.43 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.25/3.43 inference(rewrite,[status(thm)],[])).
% 3.25/3.43 tff(9168,plain,
% 3.25/3.43 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.25/3.43 inference(rewrite,[status(thm)],[])).
% 3.25/3.43 tff(9169,plain,
% 3.25/3.43 (((~![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(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.25/3.43 inference(monotonicity,[status(thm)],[9168])).
% 3.25/3.43 tff(9170,plain,
% 3.25/3.43 (((~![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(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.25/3.43 inference(transitivity,[status(thm)],[9169, 9167])).
% 3.25/3.43 tff(9171,plain,
% 3.25/3.43 ((~![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(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.25/3.43 inference(quant_inst,[status(thm)],[])).
% 3.25/3.43 tff(9172,plain,
% 3.25/3.43 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.25/3.43 inference(modus_ponens,[status(thm)],[9171, 9170])).
% 3.25/3.43 tff(9173,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9172, 76, 9166, 5, 1028, 1027, 9159])).
% 3.25/3.43 tff(9174,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9175,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9174, 1028, 5, 1027, 117, 7])).
% 3.25/3.43 tff(9176,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[153, 9175])).
% 3.25/3.43 tff(9177,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[5307, 2350, 5015, 1065])).
% 3.25/3.43 tff(9178,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2750, 9177])).
% 3.25/3.43 tff(9179,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[5418, 2350, 5015, 1065])).
% 3.25/3.43 tff(9180,plain,
% 3.25/3.43 (r(s(s(s(s(z)))), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[170, 9179])).
% 3.25/3.43 tff(9181,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[6618, 9180, 9178, 1028, 6, 2296])).
% 3.25/3.43 tff(9182,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9183,plain,
% 3.25/3.43 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9182, 1028, 9176, 9139, 9071, 9149])).
% 3.25/3.43 tff(9184,plain,
% 3.25/3.43 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1871, 9183])).
% 3.25/3.43 tff(9185,plain,
% 3.25/3.43 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2664, 9184, 5, 9176])).
% 3.25/3.43 tff(9186,plain,
% 3.25/3.43 (~b(s(s(s(z))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[7428, 3, 7253, 506])).
% 3.25/3.43 tff(9187,plain,
% 3.25/3.43 (r(s(s(s(z))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[535, 9186])).
% 3.25/3.43 tff(9188,plain,
% 3.25/3.43 (~r(s(s(s(s(z)))), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[6303, 9187, 117, 1556, 2296])).
% 3.25/3.43 tff(9189,plain,
% 3.25/3.43 (b(s(s(s(s(z)))), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[170, 9188])).
% 3.25/3.43 tff(9190,plain,
% 3.25/3.43 (~b(z, s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[7261, 3, 7])).
% 3.25/3.43 tff(9191,plain,
% 3.25/3.43 (r(z, s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[370, 9190])).
% 3.25/3.43 tff(9192,plain,
% 3.25/3.43 (~r(s(z), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[2775, 9187, 2296, 9191])).
% 3.25/3.43 tff(9193,plain,
% 3.25/3.43 (b(s(z), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[3759, 9192])).
% 3.25/3.43 tff(9194,plain,
% 3.25/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(s(s(s(z))))))), z)))),
% 3.25/3.43 inference(rewrite,[status(thm)],[])).
% 3.25/3.43 tff(9195,plain,
% 3.25/3.43 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(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(s(s(s(z))))))), z)))),
% 3.25/3.43 inference(rewrite,[status(thm)],[])).
% 3.25/3.43 tff(9196,plain,
% 3.25/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(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(s(s(s(z))))))), z))))),
% 3.25/3.43 inference(monotonicity,[status(thm)],[9195])).
% 3.25/3.43 tff(9197,plain,
% 3.25/3.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(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(s(s(s(z))))))), z)))),
% 3.25/3.43 inference(transitivity,[status(thm)],[9196, 9194])).
% 3.25/3.43 tff(9198,plain,
% 3.25/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.43 inference(quant_inst,[status(thm)],[])).
% 3.25/3.43 tff(9199,plain,
% 3.25/3.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 3.25/3.43 inference(modus_ponens,[status(thm)],[9198, 9197])).
% 3.25/3.43 tff(9200,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9199, 213, 9193, 9071, 9189, 7, 7253])).
% 3.25/3.43 tff(9201,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9202,plain,
% 3.25/3.43 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9201, 1556, 117, 7, 9139, 506])).
% 3.25/3.43 tff(9203,plain,
% 3.25/3.43 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[450, 9202])).
% 3.25/3.43 tff(9204,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9172, 76, 9203, 5, 1028, 1027, 1556])).
% 3.25/3.43 tff(9205,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9206,plain,
% 3.25/3.43 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9205, 9184, 1028, 1027, 117, 7, 5])).
% 3.25/3.43 tff(9207,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[596, 9206, 9185])).
% 3.25/3.43 tff(9208,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9209,plain,
% 3.25/3.43 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9208, 5, 117, 7, 1027])).
% 3.25/3.43 tff(9210,plain,
% 3.25/3.43 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1042, 9209])).
% 3.25/3.43 tff(9211,plain,
% 3.25/3.43 (~b(z, s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[1515, 1016, 7, 9210])).
% 3.25/3.43 tff(9212,plain,
% 3.25/3.43 (r(z, s(s(s(z))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[581, 9211])).
% 3.25/3.43 tff(9213,plain,
% 3.25/3.43 (~r(s(z), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[5358, 9075, 1027, 117, 691])).
% 3.25/3.43 tff(9214,plain,
% 3.25/3.43 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[6269, 203, 7, 9071])).
% 3.25/3.43 tff(9215,plain,
% 3.25/3.43 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[233, 9214])).
% 3.25/3.43 tff(9216,plain,
% 3.25/3.43 (~b(s(z), z)),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[8034, 9215, 1027, 1016, 7])).
% 3.25/3.43 tff(9217,plain,
% 3.25/3.43 ($false),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[3759, 9216, 9213])).
% 3.25/3.43 tff(9218,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.43 tff(9219,plain,
% 3.25/3.43 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.43 inference(unit_resolution,[status(thm)],[9218, 1016, 1027, 7, 117, 9212])).
% 3.25/3.43 tff(9220,plain,
% 3.25/3.44 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[153, 9219])).
% 3.25/3.44 tff(9221,plain,
% 3.25/3.44 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[2664, 11, 5, 6])).
% 3.25/3.44 tff(9222,plain,
% 3.25/3.44 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[1871, 9221])).
% 3.25/3.44 tff(9223,plain,
% 3.25/3.44 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[5644, 9222, 5015, 1016])).
% 3.25/3.44 tff(9224,plain,
% 3.25/3.44 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[2750, 9223])).
% 3.25/3.44 tff(9225,plain,
% 3.25/3.44 (~r(s(s(s(s(z)))), z)),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[5352, 9224, 691, 6, 11])).
% 3.25/3.44 tff(9226,plain,
% 3.25/3.44 (b(s(s(s(s(z)))), z)),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[170, 9225])).
% 3.25/3.44 tff(9227,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.25/3.44 inference(rewrite,[status(thm)],[])).
% 3.25/3.44 tff(9228,plain,
% 3.25/3.44 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.25/3.44 inference(rewrite,[status(thm)],[])).
% 3.25/3.44 tff(9229,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 3.25/3.44 inference(monotonicity,[status(thm)],[9228])).
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% 3.25/3.44 inference(transitivity,[status(thm)],[9229, 9227])).
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% 3.25/3.44 inference(quant_inst,[status(thm)],[])).
% 3.25/3.44 tff(9232,plain,
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% 3.25/3.44 inference(modus_ponens,[status(thm)],[9231, 9230])).
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[9232, 213, 5015, 9226, 1016, 9222])).
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% 3.25/3.44 tff(9235,plain,
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[9234, 1016, 9071, 9212, 9220, 5])).
% 3.25/3.44 tff(9236,plain,
% 3.25/3.44 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[596, 9235])).
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[1949, 9236, 7, 1016])).
% 3.25/3.44 tff(9238,plain,
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[233, 9237])).
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[8034, 9238, 1027, 1016, 7])).
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[3759, 9239])).
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[7741, 9240, 1027, 117, 9212])).
% 3.25/3.44 tff(9242,plain,
% 3.25/3.44 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[1871, 9241])).
% 3.25/3.44 tff(9243,plain,
% 3.25/3.44 (~r(s(s(s(s(z)))), z)),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[5358, 9240, 1027, 117, 9212])).
% 3.25/3.44 tff(9244,plain,
% 3.25/3.44 (b(s(s(s(s(z)))), z)),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[170, 9243])).
% 3.25/3.44 tff(9245,plain,
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[9232, 213, 9071, 9244, 1016, 9242])).
% 3.25/3.44 tff(9246,plain,((~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.44 tff(9247,plain,
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[1871, 9253])).
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[5307, 9254, 9071, 9250])).
% 3.25/3.44 tff(9256,plain,
% 3.25/3.44 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[2750, 9255])).
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% 3.25/3.44 tff(9260,plain,
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% 3.25/3.44 tff(9261,plain,
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% 3.25/3.44 tff(9265,plain,
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% 3.25/3.44 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
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% 3.25/3.44 inference(monotonicity,[status(thm)],[9266])).
% 3.25/3.44 tff(9268,plain,
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% 3.25/3.44 inference(transitivity,[status(thm)],[9267, 9265])).
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% 3.25/3.44 tff(9275,plain,
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% 3.25/3.44 tff(9282,plain,
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% 3.25/3.44 tff(9283,plain,
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% 3.25/3.44 inference(unit_resolution,[status(thm)],[535, 9283])).
% 3.25/3.44 tff(9285,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.25/3.44 inference(rewrite,[status(thm)],[])).
% 3.25/3.44 tff(9286,plain,
% 3.25/3.44 (((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.25/3.44 inference(rewrite,[status(thm)],[])).
% 3.25/3.44 tff(9287,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.25/3.44 inference(monotonicity,[status(thm)],[9286])).
% 3.25/3.44 tff(9288,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.25/3.44 inference(transitivity,[status(thm)],[9287, 9285])).
% 3.25/3.44 tff(9289,plain,
% 3.25/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.44 inference(quant_inst,[status(thm)],[])).
% 3.25/3.44 tff(9290,plain,
% 3.25/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.25/3.44 inference(modus_ponens,[status(thm)],[9289, 9288])).
% 3.25/3.44 tff(9291,plain,
% 3.25/3.44 ($false),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[9290, 213, 281, 283, 831, 4])).
% 3.25/3.44 tff(9292,plain,((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.44 tff(9293,plain,
% 3.25/3.44 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[9292, 831, 7253, 281])).
% 3.25/3.44 tff(9294,plain,
% 3.25/3.44 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[279, 9293])).
% 3.25/3.44 tff(9295,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.44 inference(rewrite,[status(thm)],[])).
% 3.25/3.44 tff(9296,plain,
% 3.25/3.44 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.44 inference(rewrite,[status(thm)],[])).
% 3.25/3.44 tff(9297,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 3.25/3.44 inference(monotonicity,[status(thm)],[9296])).
% 3.25/3.44 tff(9298,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.44 inference(transitivity,[status(thm)],[9297, 9295])).
% 3.25/3.44 tff(9299,plain,
% 3.25/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.44 inference(quant_inst,[status(thm)],[])).
% 3.25/3.44 tff(9300,plain,
% 3.25/3.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 3.25/3.44 inference(modus_ponens,[status(thm)],[9299, 9298])).
% 3.25/3.44 tff(9301,plain,
% 3.25/3.44 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[9300, 213, 284, 281, 1507, 203, 8])).
% 3.25/3.44 tff(9302,plain,
% 3.25/3.44 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[9301, 467])).
% 3.25/3.44 tff(9303,plain,
% 3.25/3.44 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[316, 9302])).
% 3.25/3.44 tff(9304,plain,
% 3.25/3.44 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[476, 203, 467, 464])).
% 3.25/3.44 tff(9305,plain,
% 3.25/3.44 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[250, 9304])).
% 3.25/3.44 tff(9306,plain,
% 3.25/3.44 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[6415, 76, 117, 9305, 1027, 2410])).
% 3.25/3.44 tff(9307,plain,
% 3.25/3.44 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.44 inference(unit_resolution,[status(thm)],[3415, 110, 9306, 3411])).
% 3.25/3.44 tff(9308,plain,
% 3.25/3.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.44 inference(rewrite,[status(thm)],[])).
% 3.25/3.44 tff(9309,plain,
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% 3.25/3.45 inference(rewrite,[status(thm)],[])).
% 3.25/3.45 tff(9310,plain,
% 3.25/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.25/3.45 inference(monotonicity,[status(thm)],[9309])).
% 3.25/3.45 tff(9311,plain,
% 3.25/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.45 inference(transitivity,[status(thm)],[9310, 9308])).
% 3.25/3.45 tff(9312,plain,
% 3.25/3.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.25/3.45 inference(quant_inst,[status(thm)],[])).
% 3.25/3.45 tff(9313,plain,
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% 3.25/3.45 inference(modus_ponens,[status(thm)],[9312, 9311])).
% 3.25/3.45 tff(9314,plain,
% 3.25/3.45 ($false),
% 3.25/3.45 inference(unit_resolution,[status(thm)],[9313, 213, 284, 203, 467, 831, 9307])).
% 3.25/3.45 tff(9315,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.45 tff(9316,plain,
% 3.25/3.45 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.45 inference(unit_resolution,[status(thm)],[9315, 467, 1027, 117, 203, 2410, 831, 284])).
% 3.25/3.45 tff(9317,plain,
% 3.25/3.45 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.45 inference(unit_resolution,[status(thm)],[338, 9316])).
% 3.25/3.45 tff(9318,plain,
% 3.25/3.45 ($false),
% 3.25/3.45 inference(unit_resolution,[status(thm)],[7512, 76, 117, 252, 9317, 9303])).
% 3.25/3.45 tff(9319,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.45 tff(9320,plain,
% 3.25/3.45 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.45 inference(unit_resolution,[status(thm)],[9319, 9294, 117, 9280, 281, 1507, 203, 9284, 1027, 2410, 831])).
% 3.25/3.45 tff(9321,plain,
% 3.25/3.45 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.45 inference(unit_resolution,[status(thm)],[484, 9320])).
% 3.25/3.45 tff(9322,plain,
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% 3.25/3.45 inference(rewrite,[status(thm)],[])).
% 3.25/3.45 tff(9323,plain,
% 3.25/3.45 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.45 inference(rewrite,[status(thm)],[])).
% 3.25/3.45 tff(9324,plain,
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% 3.25/3.45 inference(monotonicity,[status(thm)],[9323])).
% 3.25/3.45 tff(9325,plain,
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% 3.25/3.45 inference(transitivity,[status(thm)],[9324, 9322])).
% 3.25/3.45 tff(9326,plain,
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% 3.25/3.45 inference(modus_ponens,[status(thm)],[9326, 9325])).
% 3.25/3.45 tff(9328,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[9327, 76, 350, 9215, 9282, 9321, 9276])).
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% 3.25/3.45 tff(9330,plain,
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% 3.25/3.45 tff(9331,plain,
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% 3.25/3.45 tff(9332,plain,
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% 3.25/3.45 tff(9333,plain,
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% 3.25/3.45 tff(9334,plain,
% 3.25/3.45 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
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% 3.25/3.45 tff(9335,plain,
% 3.25/3.45 (r(s(s(s(s(s(s(s(z))))))), s(z))),
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% 3.25/3.45 tff(9336,plain,
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% 3.25/3.45 tff(9337,plain,
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% 3.25/3.45 tff(9338,plain,
% 3.25/3.45 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.25/3.45 tff(9339,plain,
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% 3.25/3.45 tff(9340,plain,
% 3.25/3.45 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.25/3.45 tff(9341,plain,
% 3.25/3.45 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.25/3.45 tff(9342,plain,
% 3.25/3.45 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.45 inference(rewrite,[status(thm)],[])).
% 3.25/3.45 tff(9343,plain,
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% 3.25/3.45 inference(rewrite,[status(thm)],[])).
% 3.25/3.45 tff(9344,plain,
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% 3.25/3.45 inference(monotonicity,[status(thm)],[9343])).
% 3.25/3.45 tff(9345,plain,
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% 3.25/3.45 inference(transitivity,[status(thm)],[9344, 9342])).
% 3.25/3.45 tff(9346,plain,
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% 3.25/3.45 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 3.25/3.45 tff(9348,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[9347, 76, 11, 598, 2410])).
% 3.25/3.45 tff(9349,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[9348, 9341])).
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[316, 9349])).
% 3.25/3.45 tff(9351,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[5489, 9350, 5015, 9337])).
% 3.25/3.45 tff(9352,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[338, 9351])).
% 3.25/3.45 tff(9353,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[6531, 76, 155, 9341, 9352, 2410, 2296])).
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% 3.25/3.45 tff(9356,plain,
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% 3.25/3.45 tff(9358,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[316, 9360])).
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% 3.25/3.45 inference(monotonicity,[status(thm)],[9363])).
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% 3.25/3.45 inference(transitivity,[status(thm)],[9364, 9362])).
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% 3.25/3.45 tff(9370,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[965, 9370, 9361, 5, 9331])).
% 3.25/3.45 tff(9372,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.45 tff(9373,plain,
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% 3.25/3.45 inference(unit_resolution,[status(thm)],[189, 9375])).
% 3.25/3.45 tff(9377,plain,
% 3.25/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.25/3.45 inference(rewrite,[status(thm)],[])).
% 3.25/3.45 tff(9378,plain,
% 3.25/3.45 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.25/3.45 inference(rewrite,[status(thm)],[])).
% 3.25/3.45 tff(9379,plain,
% 3.25/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))))),
% 3.25/3.45 inference(monotonicity,[status(thm)],[9378])).
% 3.25/3.45 tff(9380,plain,
% 3.25/3.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.25/3.46 inference(transitivity,[status(thm)],[9379, 9377])).
% 3.25/3.46 tff(9381,plain,
% 3.25/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))),
% 3.25/3.46 inference(quant_inst,[status(thm)],[])).
% 3.25/3.46 tff(9382,plain,
% 3.25/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.25/3.46 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 3.25/3.46 tff(9383,plain,
% 3.25/3.46 ($false),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9382, 213, 3771, 3, 4, 202])).
% 3.25/3.46 tff(9384,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.46 tff(9385,plain,
% 3.25/3.46 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9384, 202, 4, 3771])).
% 3.25/3.46 tff(9386,plain,
% 3.25/3.46 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[450, 9385])).
% 3.25/3.46 tff(9387,plain,
% 3.25/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9388,plain,
% 3.25/3.46 (((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9389,plain,
% 3.25/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.25/3.46 inference(monotonicity,[status(thm)],[9388])).
% 3.25/3.46 tff(9390,plain,
% 3.25/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.25/3.46 inference(transitivity,[status(thm)],[9389, 9387])).
% 3.25/3.46 tff(9391,plain,
% 3.25/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.25/3.46 inference(quant_inst,[status(thm)],[])).
% 3.25/3.46 tff(9392,plain,
% 3.25/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.25/3.46 inference(modus_ponens,[status(thm)],[9391, 9390])).
% 3.25/3.46 tff(9393,plain,
% 3.25/3.46 ($false),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9392, 76, 350, 155, 15, 5, 14])).
% 3.25/3.46 tff(9394,plain,((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.46 tff(9395,plain,
% 3.25/3.46 (~r(s(s(s(s(z)))), z)),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9394, 15, 14, 5, 350])).
% 3.25/3.46 tff(9396,plain,
% 3.25/3.46 (b(s(s(s(s(z)))), z)),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[170, 9395])).
% 3.25/3.46 tff(9397,plain,
% 3.25/3.46 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[5499, 213, 3771, 5015, 9396])).
% 3.25/3.46 tff(9398,plain,
% 3.25/3.46 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[115, 9397])).
% 3.25/3.46 tff(9399,plain,
% 3.25/3.46 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9400,plain,
% 3.25/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 3.25/3.46 inference(monotonicity,[status(thm)],[9399])).
% 3.25/3.46 tff(9401,plain,
% 3.25/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.25/3.46 inference(transitivity,[status(thm)],[9400, 5433])).
% 3.25/3.46 tff(9402,plain,
% 3.25/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.25/3.46 inference(quant_inst,[status(thm)],[])).
% 3.25/3.46 tff(9403,plain,
% 3.25/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 3.25/3.46 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 3.25/3.46 tff(9404,plain,
% 3.25/3.46 (~b(s(z), s(s(s(s(z)))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9403, 213, 3771, 5015, 9396])).
% 3.25/3.46 tff(9405,plain,
% 3.25/3.46 (r(s(z), s(s(s(s(z)))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[796, 9404])).
% 3.25/3.46 tff(9406,plain,
% 3.25/3.46 ($false),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[459, 76, 9405, 9398, 15, 5])).
% 3.25/3.46 tff(9407,plain,((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.46 tff(9408,plain,
% 3.25/3.46 (~r(z, s(z))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9407, 9386, 3771, 5015, 9376, 5])).
% 3.25/3.46 tff(9409,plain,
% 3.25/3.46 (b(z, s(z))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[370, 9408])).
% 3.25/3.46 tff(9410,plain,
% 3.25/3.46 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[6028, 9409, 5015, 3771])).
% 3.25/3.46 tff(9411,plain,
% 3.25/3.46 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[115, 9410])).
% 3.25/3.46 tff(9412,plain,
% 3.25/3.46 (~r(s(z), s(s(s(s(z)))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[461, 9411, 9386, 5])).
% 3.25/3.46 tff(9413,plain,
% 3.25/3.46 (b(s(z), s(s(s(s(z)))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[796, 9412])).
% 3.25/3.46 tff(9414,plain,
% 3.25/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9415,plain,
% 3.25/3.46 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9416,plain,
% 3.25/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.25/3.46 inference(monotonicity,[status(thm)],[9415])).
% 3.25/3.46 tff(9417,plain,
% 3.25/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.46 inference(transitivity,[status(thm)],[9416, 9414])).
% 3.25/3.46 tff(9418,plain,
% 3.25/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(z))))),
% 3.25/3.46 inference(quant_inst,[status(thm)],[])).
% 3.25/3.46 tff(9419,plain,
% 3.25/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.46 inference(modus_ponens,[status(thm)],[9418, 9417])).
% 3.25/3.46 tff(9420,plain,
% 3.25/3.46 ($false),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9419, 213, 1, 5015, 782, 467, 464, 4, 202])).
% 3.25/3.46 tff(9421,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.46 tff(9422,plain,
% 3.25/3.46 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9421, 464, 5015, 782, 1, 4, 202])).
% 3.25/3.46 tff(9423,plain,
% 3.25/3.46 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[484, 9422])).
% 3.25/3.46 tff(9424,plain,
% 3.25/3.46 ($false),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[6686, 76, 16, 5, 706, 9423, 5491])).
% 3.25/3.46 tff(9425,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.46 tff(9426,plain,
% 3.25/3.46 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9425, 9411, 5, 706, 5015, 747, 9413, 9409, 4, 202])).
% 3.25/3.46 tff(9427,plain,
% 3.25/3.46 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[338, 9426])).
% 3.25/3.46 tff(9428,plain,
% 3.25/3.46 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[1594, 76, 9386, 5, 706, 9427])).
% 3.25/3.46 tff(9429,plain,
% 3.25/3.46 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[436, 9428])).
% 3.25/3.46 tff(9430,plain,
% 3.25/3.46 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[2558, 9427, 706, 9411])).
% 3.25/3.46 tff(9431,plain,
% 3.25/3.46 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[279, 9430])).
% 3.25/3.46 tff(9432,plain,
% 3.25/3.46 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[7504, 9431, 9429, 4])).
% 3.25/3.46 tff(9433,plain,
% 3.25/3.46 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[484, 9432])).
% 3.25/3.46 tff(9434,plain,
% 3.25/3.46 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[6686, 76, 9411, 5, 706])).
% 3.25/3.46 tff(9435,plain,
% 3.25/3.46 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9434, 9433])).
% 3.25/3.46 tff(9436,plain,
% 3.25/3.46 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[316, 9435])).
% 3.25/3.46 tff(9437,plain,
% 3.25/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9438,plain,
% 3.25/3.46 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9439,plain,
% 3.25/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.25/3.46 inference(monotonicity,[status(thm)],[9438])).
% 3.25/3.46 tff(9440,plain,
% 3.25/3.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.46 inference(transitivity,[status(thm)],[9439, 9437])).
% 3.25/3.46 tff(9441,plain,
% 3.25/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))),
% 3.25/3.46 inference(quant_inst,[status(thm)],[])).
% 3.25/3.46 tff(9442,plain,
% 3.25/3.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.25/3.46 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 3.25/3.46 tff(9443,plain,
% 3.25/3.46 ($false),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9442, 213, 3771, 5015, 9413, 9429, 4, 9436, 202])).
% 3.25/3.46 tff(9444,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.46 tff(9445,plain,
% 3.25/3.46 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[9444, 5, 5015, 4, 3771, 706, 747])).
% 3.25/3.46 tff(9446,plain,
% 3.25/3.46 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[233, 9445])).
% 3.25/3.46 tff(9447,plain,
% 3.25/3.46 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[5519, 117, 747, 350, 706, 3771, 5015])).
% 3.25/3.46 tff(9448,plain,
% 3.25/3.46 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[338, 9447])).
% 3.25/3.46 tff(9449,plain,
% 3.25/3.46 (~b(s(s(s(s(z)))), z)),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[5501, 284, 5015, 3771])).
% 3.25/3.46 tff(9450,plain,
% 3.25/3.46 (r(s(s(s(s(z)))), z)),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[170, 9449])).
% 3.25/3.46 tff(9451,plain,
% 3.25/3.46 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[5529, 9450, 7420, 738, 689])).
% 3.25/3.46 tff(9452,plain,
% 3.25/3.46 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.46 inference(unit_resolution,[status(thm)],[627, 9451])).
% 3.25/3.46 tff(9453,plain,
% 3.25/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9454,plain,
% 3.25/3.46 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(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(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(rewrite,[status(thm)],[])).
% 3.25/3.46 tff(9455,plain,
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% 3.25/3.46 inference(monotonicity,[status(thm)],[9454])).
% 3.25/3.46 tff(9456,plain,
% 3.25/3.46 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(transitivity,[status(thm)],[9455, 9453])).
% 3.25/3.46 tff(9457,plain,
% 3.25/3.46 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.46 inference(quant_inst,[status(thm)],[])).
% 3.25/3.46 tff(9458,plain,
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% 3.25/3.47 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 3.25/3.47 tff(9459,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9458, 76, 155, 6, 738, 14])).
% 3.25/3.47 tff(9460,plain,((~r(s(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(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9461,plain,
% 3.25/3.47 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9460, 9450, 7420, 738])).
% 3.25/3.47 tff(9462,plain,
% 3.25/3.47 (b(s(s(s(s(s(s(s(z))))))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[189, 9461])).
% 3.25/3.47 tff(9463,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[5537, 213, 3771, 3, 9462, 9452, 747])).
% 3.25/3.47 tff(9464,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9465,plain,
% 3.25/3.47 (~b(s(s(s(s(z)))), s(z))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9464, 689, 3, 747, 738, 3771, 4, 5015])).
% 3.25/3.47 tff(9466,plain,
% 3.25/3.47 (r(s(s(s(s(z)))), s(z))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[115, 9465])).
% 3.25/3.47 tff(9467,plain,
% 3.25/3.47 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[712, 76, 117, 9466, 706])).
% 3.25/3.47 tff(9468,plain,
% 3.25/3.47 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[316, 9467])).
% 3.25/3.47 tff(9469,plain,
% 3.25/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.47 inference(rewrite,[status(thm)],[])).
% 3.25/3.47 tff(9470,plain,
% 3.25/3.47 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.47 inference(rewrite,[status(thm)],[])).
% 3.25/3.47 tff(9471,plain,
% 3.25/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.25/3.47 inference(monotonicity,[status(thm)],[9470])).
% 3.25/3.47 tff(9472,plain,
% 3.25/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.47 inference(transitivity,[status(thm)],[9471, 9469])).
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% 3.25/3.47 inference(quant_inst,[status(thm)],[])).
% 3.25/3.47 tff(9474,plain,
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% 3.25/3.47 inference(modus_ponens,[status(thm)],[9473, 9472])).
% 3.25/3.47 tff(9475,plain,
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% 3.25/3.47 inference(unit_resolution,[status(thm)],[9474, 213, 5015, 191, 717, 747])).
% 3.25/3.47 tff(9476,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9477,plain,
% 3.25/3.47 (~b(s(s(s(s(z)))), z)),
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% 3.25/3.47 tff(9478,plain,
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% 3.25/3.47 inference(unit_resolution,[status(thm)],[170, 9477])).
% 3.25/3.47 tff(9479,plain,
% 3.25/3.47 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
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% 3.25/3.47 tff(9480,plain,
% 3.25/3.47 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[627, 9479])).
% 3.25/3.47 tff(9481,plain,
% 3.25/3.47 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.25/3.47 tff(9482,plain,
% 3.25/3.47 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[279, 9481])).
% 3.25/3.47 tff(9483,plain,
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% 3.25/3.47 tff(9484,plain,
% 3.25/3.47 (((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.47 inference(rewrite,[status(thm)],[])).
% 3.25/3.47 tff(9485,plain,
% 3.25/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.25/3.47 inference(monotonicity,[status(thm)],[9484])).
% 3.25/3.47 tff(9486,plain,
% 3.25/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.47 inference(transitivity,[status(thm)],[9485, 9483])).
% 3.25/3.47 tff(9487,plain,
% 3.25/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))),
% 3.25/3.47 inference(quant_inst,[status(thm)],[])).
% 3.25/3.47 tff(9488,plain,
% 3.25/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.47 inference(modus_ponens,[status(thm)],[9487, 9486])).
% 3.25/3.47 tff(9489,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9488, 213, 3771, 9482, 9480, 747])).
% 3.25/3.47 tff(9490,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9491,plain,
% 3.25/3.47 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9490, 9448, 747, 350, 5015, 117, 706, 3771, 9446, 4])).
% 3.25/3.47 tff(9492,plain,
% 3.25/3.47 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[450, 9491])).
% 3.25/3.47 tff(9493,plain,
% 3.25/3.47 (~r(s(s(s(s(s(s(s(z))))))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9407, 9492, 3771, 5015, 350, 5])).
% 3.25/3.47 tff(9494,plain,
% 3.25/3.47 (b(s(s(s(s(s(s(s(z))))))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[189, 9493])).
% 3.25/3.47 tff(9495,plain,
% 3.25/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.47 inference(rewrite,[status(thm)],[])).
% 3.25/3.47 tff(9496,plain,
% 3.25/3.47 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.47 inference(rewrite,[status(thm)],[])).
% 3.25/3.47 tff(9497,plain,
% 3.25/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.25/3.47 inference(monotonicity,[status(thm)],[9496])).
% 3.25/3.47 tff(9498,plain,
% 3.25/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.47 inference(transitivity,[status(thm)],[9497, 9495])).
% 3.25/3.47 tff(9499,plain,
% 3.25/3.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.47 inference(quant_inst,[status(thm)],[])).
% 3.25/3.47 tff(9500,plain,
% 3.25/3.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.47 inference(modus_ponens,[status(thm)],[9499, 9498])).
% 3.25/3.47 tff(9501,plain,
% 3.25/3.47 ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9500, 76, 117, 5, 706])).
% 3.25/3.47 tff(9502,plain,
% 3.25/3.47 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9501, 9492])).
% 3.25/3.47 tff(9503,plain,
% 3.25/3.47 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[436, 9502])).
% 3.25/3.47 tff(9504,plain,
% 3.25/3.47 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[1295, 9503, 747, 9494])).
% 3.25/3.47 tff(9505,plain,
% 3.25/3.47 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[484, 9504])).
% 3.25/3.47 tff(9506,plain,
% 3.25/3.47 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[8318, 76, 9446, 9492, 706, 9505])).
% 3.25/3.47 tff(9507,plain,
% 3.25/3.47 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[627, 9506])).
% 3.25/3.47 tff(9508,plain,
% 3.25/3.47 (((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.47 inference(rewrite,[status(thm)],[])).
% 3.25/3.47 tff(9509,plain,
% 3.25/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.25/3.47 inference(monotonicity,[status(thm)],[9508])).
% 3.25/3.47 tff(9510,plain,
% 3.25/3.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.47 inference(transitivity,[status(thm)],[9509, 5216])).
% 3.25/3.47 tff(9511,plain,
% 3.25/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.25/3.47 inference(quant_inst,[status(thm)],[])).
% 3.25/3.47 tff(9512,plain,
% 3.25/3.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.47 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 3.25/3.47 tff(9513,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9512, 213, 9494, 9503, 9507, 747])).
% 3.25/3.47 tff(9514,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9515,plain,
% 3.25/3.47 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9514, 9374, 7253, 9071, 7835, 117, 5, 3771])).
% 3.25/3.47 tff(9516,plain,
% 3.25/3.47 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[819, 9515])).
% 3.25/3.47 tff(9517,plain,
% 3.25/3.47 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9500, 76, 117, 9335, 5, 9374])).
% 3.25/3.47 tff(9518,plain,
% 3.25/3.47 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[436, 9517])).
% 3.25/3.47 tff(9519,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9313, 213, 284, 203, 467, 831, 4])).
% 3.25/3.47 tff(9520,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9521,plain,
% 3.25/3.47 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9520, 9518, 203, 9333, 7253])).
% 3.25/3.47 tff(9522,plain,
% 3.25/3.47 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[484, 9521])).
% 3.25/3.47 tff(9523,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9327, 76, 7835, 9215, 9335, 9522, 9516])).
% 3.25/3.47 tff(9524,plain,((~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9525,plain,
% 3.25/3.47 (~b(s(z), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9524, 203, 117, 5, 1027, 7])).
% 3.25/3.47 tff(9526,plain,
% 3.25/3.47 (r(s(z), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[3759, 9525])).
% 3.25/3.47 tff(9527,plain,
% 3.25/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.25/3.47 inference(rewrite,[status(thm)],[])).
% 3.25/3.47 tff(9528,plain,
% 3.25/3.47 (((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.25/3.47 inference(rewrite,[status(thm)],[])).
% 3.25/3.47 tff(9529,plain,
% 3.25/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, 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(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))))),
% 3.25/3.47 inference(monotonicity,[status(thm)],[9528])).
% 3.25/3.47 tff(9530,plain,
% 3.25/3.47 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, 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(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))))),
% 3.25/3.47 inference(transitivity,[status(thm)],[9529, 9527])).
% 3.25/3.47 tff(9531,plain,
% 3.25/3.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.25/3.47 inference(quant_inst,[status(thm)],[])).
% 3.25/3.47 tff(9532,plain,
% 3.25/3.47 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))),
% 3.25/3.47 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 3.25/3.47 tff(9533,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9532, 76, 9526, 117, 1027, 9256, 9248])).
% 3.25/3.47 tff(9534,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9535,plain,
% 3.25/3.47 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9534, 5, 1027, 117, 7])).
% 3.25/3.47 tff(9536,plain,
% 3.25/3.47 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[153, 9535])).
% 3.25/3.47 tff(9537,plain,
% 3.25/3.47 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[2664, 9536, 5, 9252])).
% 3.25/3.47 tff(9538,plain,
% 3.25/3.47 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[1871, 9537])).
% 3.25/3.47 tff(9539,plain,
% 3.25/3.47 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[5307, 9538, 9071, 9250])).
% 3.25/3.47 tff(9540,plain,
% 3.25/3.47 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[2750, 9539])).
% 3.25/3.47 tff(9541,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9532, 76, 2, 117, 1027, 2410, 2296])).
% 3.25/3.47 tff(9542,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9543,plain,
% 3.25/3.47 (~r(s(z), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9542, 9540, 1027, 117, 9248])).
% 3.25/3.47 tff(9544,plain,
% 3.25/3.47 (b(s(z), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[3759, 9543])).
% 3.25/3.47 tff(9545,plain,
% 3.25/3.47 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[7271, 9544, 7, 7253])).
% 3.25/3.47 tff(9546,plain,
% 3.25/3.47 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[233, 9545])).
% 3.25/3.47 tff(9547,plain,
% 3.25/3.47 (~b(s(s(s(s(z)))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[5418, 9538, 9071, 9250])).
% 3.25/3.47 tff(9548,plain,
% 3.25/3.47 (r(s(s(s(s(z)))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[170, 9547])).
% 3.25/3.47 tff(9549,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[4678, 76, 9548, 9536, 9546, 9540, 9248])).
% 3.25/3.47 tff(9550,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9551,plain,
% 3.25/3.47 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9550, 117, 1027, 7])).
% 3.25/3.47 tff(9552,plain,
% 3.25/3.47 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[250, 9551])).
% 3.25/3.47 tff(9553,plain,
% 3.25/3.47 (~b(s(s(s(s(z)))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[5023, 9552, 7, 9071])).
% 3.25/3.47 tff(9554,plain,
% 3.25/3.47 (r(s(s(s(s(z)))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[170, 9553])).
% 3.25/3.47 tff(9555,plain,
% 3.25/3.47 (~r(s(z), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[5358, 691, 1027, 117, 9554])).
% 3.25/3.47 tff(9556,plain,
% 3.25/3.47 (b(s(z), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[3759, 9555])).
% 3.25/3.47 tff(9557,plain,
% 3.25/3.47 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[7271, 9556, 7, 7253])).
% 3.25/3.47 tff(9558,plain,
% 3.25/3.47 (~r(s(s(s(z))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9147, 691, 7, 1027])).
% 3.25/3.47 tff(9559,plain,
% 3.25/3.47 (b(s(s(s(z))), z)),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[2303, 9558])).
% 3.25/3.47 tff(9560,plain,
% 3.25/3.47 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[8034, 9556, 1027, 9559, 7])).
% 3.25/3.47 tff(9561,plain,
% 3.25/3.47 ($false),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[233, 9560, 9557])).
% 3.25/3.47 tff(9562,plain,((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.47 tff(9563,plain,
% 3.25/3.47 (~r(z, s(s(s(z))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[9562, 117, 7, 1027])).
% 3.25/3.47 tff(9564,plain,
% 3.25/3.47 (b(z, s(s(s(z))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[581, 9563])).
% 3.25/3.47 tff(9565,plain,
% 3.25/3.47 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.47 inference(unit_resolution,[status(thm)],[5035, 9552, 7, 9071])).
% 3.25/3.47 tff(9566,plain,
% 3.25/3.47 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[153, 9565])).
% 3.25/3.48 tff(9567,plain,
% 3.25/3.48 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[2797, 1016, 7, 1065])).
% 3.25/3.48 tff(9568,plain,
% 3.25/3.48 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9099, 1016, 9071, 1065])).
% 3.25/3.48 tff(9569,plain,
% 3.25/3.48 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[2750, 9568])).
% 3.25/3.48 tff(9570,plain,
% 3.25/3.48 ($false),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[2684, 9569, 7812, 11, 6])).
% 3.25/3.48 tff(9571,plain,((~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.48 tff(9572,plain,
% 3.25/3.48 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9571, 1016, 6, 1065, 7])).
% 3.25/3.48 tff(9573,plain,
% 3.25/3.48 ($false),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[596, 9572, 9567])).
% 3.25/3.48 tff(9574,plain,((~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.48 tff(9575,plain,
% 3.25/3.48 (~b(s(s(s(z))), z)),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9574, 9566, 9564, 7])).
% 3.25/3.48 tff(9576,plain,
% 3.25/3.48 (r(s(s(s(z))), z)),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[2303, 9575])).
% 3.25/3.48 tff(9577,plain,
% 3.25/3.48 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[4433, 202, 7, 9564])).
% 3.25/3.48 tff(9578,plain,
% 3.25/3.48 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[596, 9577])).
% 3.25/3.48 tff(9579,plain,
% 3.25/3.48 (~b(s(s(s(z))), z)),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9571, 9578, 9566, 9564, 7])).
% 3.25/3.48 tff(9580,plain,
% 3.25/3.48 (r(s(s(s(z))), z)),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[2303, 9579])).
% 3.25/3.48 tff(9581,plain,
% 3.25/3.48 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9542, 9580, 1027, 117, 7273])).
% 3.25/3.48 tff(9582,plain,
% 3.25/3.48 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[2750, 9581])).
% 3.25/3.48 tff(9583,plain,
% 3.25/3.48 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[5307, 9582, 9071, 9564])).
% 3.25/3.48 tff(9584,plain,
% 3.25/3.48 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[1871, 9583])).
% 3.25/3.48 tff(9585,plain,
% 3.25/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9586,plain,
% 3.25/3.48 (((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9587,plain,
% 3.25/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, 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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 3.25/3.48 inference(monotonicity,[status(thm)],[9586])).
% 3.25/3.48 tff(9588,plain,
% 3.25/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, 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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.25/3.48 inference(transitivity,[status(thm)],[9587, 9585])).
% 3.25/3.48 tff(9589,plain,
% 3.25/3.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))))),
% 3.25/3.48 inference(quant_inst,[status(thm)],[])).
% 3.25/3.48 tff(9590,plain,
% 3.25/3.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.25/3.48 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 3.25/3.48 tff(9591,plain,
% 3.25/3.48 ($false),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9590, 76, 7273, 117, 9554, 1027, 9584])).
% 3.25/3.48 tff(9592,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.48 tff(9593,plain,
% 3.25/3.48 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9592, 117, 1027, 7])).
% 3.25/3.48 tff(9594,plain,
% 3.25/3.48 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[233, 9593])).
% 3.25/3.48 tff(9595,plain,
% 3.25/3.48 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[2493, 506, 7, 9564])).
% 3.25/3.48 tff(9596,plain,
% 3.25/3.48 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[1042, 9595])).
% 3.25/3.48 tff(9597,plain,
% 3.25/3.48 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[6618, 9596, 9554, 9566, 9576])).
% 3.25/3.48 tff(9598,plain,
% 3.25/3.48 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[2750, 9597])).
% 3.25/3.48 tff(9599,plain,
% 3.25/3.48 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9182, 9596, 9566, 9576, 9071, 9564])).
% 3.25/3.48 tff(9600,plain,
% 3.25/3.48 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[1871, 9599])).
% 3.25/3.48 tff(9601,plain,
% 3.25/3.48 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9201, 9600, 117, 7, 9576, 506])).
% 3.25/3.48 tff(9602,plain,
% 3.25/3.48 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[450, 9601])).
% 3.25/3.48 tff(9603,plain,
% 3.25/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9604,plain,
% 3.25/3.48 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9605,plain,
% 3.25/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.48 inference(monotonicity,[status(thm)],[9604])).
% 3.25/3.48 tff(9606,plain,
% 3.25/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.48 inference(transitivity,[status(thm)],[9605, 9603])).
% 3.25/3.48 tff(9607,plain,
% 3.25/3.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)))),
% 3.25/3.48 inference(quant_inst,[status(thm)],[])).
% 3.25/3.48 tff(9608,plain,
% 3.25/3.48 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 3.25/3.48 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 3.25/3.48 tff(9609,plain,
% 3.25/3.48 ($false),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9608, 76, 16, 155, 6, 738, 15])).
% 3.25/3.48 tff(9610,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.48 tff(9611,plain,
% 3.25/3.48 (~r(s(s(s(s(z)))), s(z))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9610, 9602, 9566, 9594, 9554])).
% 3.25/3.48 tff(9612,plain,
% 3.25/3.48 (b(s(s(s(s(z)))), s(z))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[115, 9611])).
% 3.25/3.48 tff(9613,plain,
% 3.25/3.48 (~r(s(s(s(z))), s(z))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[6303, 9600, 117, 9554, 9576])).
% 3.25/3.48 tff(9614,plain,
% 3.25/3.48 (b(s(s(s(z))), s(z))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[535, 9613])).
% 3.25/3.48 tff(9615,plain,
% 3.25/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9616,plain,
% 3.25/3.48 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9617,plain,
% 3.25/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.25/3.48 inference(monotonicity,[status(thm)],[9616])).
% 3.25/3.48 tff(9618,plain,
% 3.25/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.48 inference(transitivity,[status(thm)],[9617, 9615])).
% 3.25/3.48 tff(9619,plain,
% 3.25/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.48 inference(quant_inst,[status(thm)],[])).
% 3.25/3.48 tff(9620,plain,
% 3.25/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.25/3.48 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 3.25/3.48 tff(9621,plain,
% 3.25/3.48 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9620, 213, 284, 506, 281, 468, 467, 8])).
% 3.25/3.48 tff(9622,plain,
% 3.25/3.48 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[4243, 9621])).
% 3.25/3.48 tff(9623,plain,
% 3.25/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9624,plain,
% 3.25/3.48 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9625,plain,
% 3.25/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 3.25/3.48 inference(monotonicity,[status(thm)],[9624])).
% 3.25/3.48 tff(9626,plain,
% 3.25/3.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.48 inference(transitivity,[status(thm)],[9625, 9623])).
% 3.25/3.48 tff(9627,plain,
% 3.25/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.25/3.48 inference(quant_inst,[status(thm)],[])).
% 3.25/3.48 tff(9628,plain,
% 3.25/3.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 3.25/3.48 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 3.25/3.48 tff(9629,plain,
% 3.25/3.48 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[9628, 213, 284, 506, 281, 468, 467, 8])).
% 3.25/3.48 tff(9630,plain,
% 3.25/3.48 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.48 inference(unit_resolution,[status(thm)],[653, 9629])).
% 3.25/3.48 tff(9631,plain,
% 3.25/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9632,plain,
% 3.25/3.48 (((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.48 inference(rewrite,[status(thm)],[])).
% 3.25/3.48 tff(9633,plain,
% 3.25/3.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.25/3.49 inference(monotonicity,[status(thm)],[9632])).
% 3.25/3.49 tff(9634,plain,
% 3.25/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.49 inference(transitivity,[status(thm)],[9633, 9631])).
% 3.25/3.49 tff(9635,plain,
% 3.25/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.49 inference(quant_inst,[status(thm)],[])).
% 3.25/3.49 tff(9636,plain,
% 3.25/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.25/3.49 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 3.25/3.49 tff(9637,plain,
% 3.25/3.49 ($false),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9636, 76, 1028, 9630, 382, 9622])).
% 3.25/3.49 tff(9638,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.49 tff(9639,plain,
% 3.25/3.49 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9638, 382, 1028, 284, 506, 468, 467, 8])).
% 3.25/3.49 tff(9640,plain,
% 3.25/3.49 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[610, 9639])).
% 3.25/3.49 tff(9641,plain,
% 3.25/3.49 ($false),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[7349, 76, 15, 9640, 1028, 1027, 382])).
% 3.25/3.49 tff(9642,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.49 tff(9643,plain,
% 3.25/3.49 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9642, 467, 1028, 1027, 284, 506, 468, 15, 8])).
% 3.25/3.49 tff(9644,plain,
% 3.25/3.49 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[436, 9643])).
% 3.25/3.49 tff(9645,plain,
% 3.25/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.49 inference(rewrite,[status(thm)],[])).
% 3.25/3.49 tff(9646,plain,
% 3.25/3.49 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.49 inference(rewrite,[status(thm)],[])).
% 3.25/3.49 tff(9647,plain,
% 3.25/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.25/3.49 inference(monotonicity,[status(thm)],[9646])).
% 3.25/3.49 tff(9648,plain,
% 3.25/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.49 inference(transitivity,[status(thm)],[9647, 9645])).
% 3.25/3.49 tff(9649,plain,
% 3.25/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.25/3.49 inference(quant_inst,[status(thm)],[])).
% 3.25/3.49 tff(9650,plain,
% 3.25/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.25/3.49 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 3.25/3.49 tff(9651,plain,
% 3.25/3.49 ($false),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9650, 213, 506, 467, 8, 9644, 4])).
% 3.25/3.49 tff(9652,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.49 tff(9653,plain,
% 3.25/3.49 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9652, 506, 9614, 7253, 9596, 1027, 9612, 9552, 9602])).
% 3.25/3.49 tff(9654,plain,
% 3.25/3.49 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[484, 9653])).
% 3.25/3.49 tff(9655,plain,
% 3.25/3.49 ($false),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9590, 76, 2, 117, 155, 1027, 1556])).
% 3.25/3.49 tff(9656,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.49 tff(9657,plain,
% 3.25/3.49 (~r(s(z), z)),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9656, 9600, 9554, 1027, 117])).
% 3.25/3.49 tff(9658,plain,
% 3.25/3.49 (b(s(z), z)),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[3759, 9657])).
% 3.25/3.49 tff(9659,plain,
% 3.25/3.49 (~b(z, s(z))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[7588, 9658, 7, 7253])).
% 3.25/3.49 tff(9660,plain,
% 3.25/3.49 (r(z, s(z))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[370, 9659])).
% 3.25/3.49 tff(9661,plain,
% 3.25/3.49 ($false),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9327, 76, 350, 738, 15, 598, 282])).
% 3.25/3.49 tff(9662,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.49 tff(9663,plain,
% 3.25/3.49 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9662, 9654, 9594, 9602, 9660])).
% 3.25/3.49 tff(9664,plain,
% 3.25/3.49 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[819, 9663])).
% 3.25/3.49 tff(9665,plain,
% 3.25/3.49 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[5529, 13, 6, 155, 738])).
% 3.25/3.49 tff(9666,plain,
% 3.25/3.49 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[338, 9665])).
% 3.25/3.49 tff(9667,plain,
% 3.25/3.49 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[6515, 76, 155, 738, 598])).
% 3.25/3.49 tff(9668,plain,
% 3.25/3.49 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9667, 13])).
% 3.25/3.49 tff(9669,plain,
% 3.25/3.49 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[316, 9668])).
% 3.25/3.49 tff(9670,plain,
% 3.25/3.49 ($false),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[5489, 9669, 9666, 5015, 747])).
% 3.25/3.49 tff(9671,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.49 tff(9672,plain,
% 3.25/3.49 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9671, 9664, 9071, 9554, 9594, 9654, 9566])).
% 3.25/3.49 tff(9673,plain,
% 3.25/3.49 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[627, 9672])).
% 3.25/3.49 tff(9674,plain,
% 3.25/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.49 inference(rewrite,[status(thm)],[])).
% 3.25/3.49 tff(9675,plain,
% 3.25/3.49 (((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.49 inference(rewrite,[status(thm)],[])).
% 3.25/3.49 tff(9676,plain,
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% 3.25/3.49 inference(monotonicity,[status(thm)],[9675])).
% 3.25/3.49 tff(9677,plain,
% 3.25/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.25/3.49 inference(transitivity,[status(thm)],[9676, 9674])).
% 3.25/3.49 tff(9678,plain,
% 3.25/3.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.25/3.49 inference(quant_inst,[status(thm)],[])).
% 3.25/3.49 tff(9679,plain,
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% 3.25/3.49 inference(modus_ponens,[status(thm)],[9678, 9677])).
% 3.25/3.49 tff(9680,plain,
% 3.25/3.49 ($false),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9679, 213, 9071, 7, 468, 831, 2812, 747])).
% 3.25/3.49 tff(9681,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.49 tff(9682,plain,
% 3.25/3.49 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9681, 9673, 9552, 7, 9664])).
% 3.25/3.49 tff(9683,plain,
% 3.25/3.49 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[436, 9682])).
% 3.25/3.49 tff(9684,plain,
% 3.25/3.49 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[2251, 9683, 9566, 9654])).
% 3.25/3.49 tff(9685,plain,
% 3.25/3.49 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[338, 9684])).
% 3.25/3.49 tff(9686,plain,
% 3.25/3.49 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[5489, 9685, 9071, 9664])).
% 3.25/3.49 tff(9687,plain,
% 3.25/3.49 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[316, 9686])).
% 3.25/3.49 tff(9688,plain,
% 3.25/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.49 inference(rewrite,[status(thm)],[])).
% 3.25/3.49 tff(9689,plain,
% 3.25/3.49 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.49 inference(rewrite,[status(thm)],[])).
% 3.25/3.49 tff(9690,plain,
% 3.25/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.25/3.49 inference(monotonicity,[status(thm)],[9689])).
% 3.25/3.49 tff(9691,plain,
% 3.25/3.49 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.25/3.49 inference(transitivity,[status(thm)],[9690, 9688])).
% 3.25/3.49 tff(9692,plain,
% 3.25/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.25/3.49 inference(quant_inst,[status(thm)],[])).
% 3.25/3.49 tff(9693,plain,
% 3.25/3.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.25/3.49 inference(modus_ponens,[status(thm)],[9692, 9691])).
% 3.25/3.49 tff(9694,plain,
% 3.25/3.49 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9693, 76, 9566, 9654, 9600])).
% 3.25/3.49 tff(9695,plain,
% 3.25/3.49 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[9694, 9687])).
% 3.25/3.49 tff(9696,plain,
% 3.25/3.49 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.25/3.49 tff(9697,plain,
% 3.25/3.49 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[5519, 9685, 9071, 117, 9660, 9658, 9664])).
% 3.25/3.49 tff(9698,plain,
% 3.25/3.49 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.25/3.49 inference(unit_resolution,[status(thm)],[610, 9697])).
% 3.25/3.49 tff(9699,plain,
% 3.25/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
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% 3.25/3.49 inference(rewrite,[status(thm)],[])).
% 3.25/3.49 tff(9701,plain,
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% 3.25/3.49 inference(monotonicity,[status(thm)],[9700])).
% 3.25/3.49 tff(9702,plain,
% 3.25/3.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.25/3.50 inference(transitivity,[status(thm)],[9701, 9699])).
% 3.25/3.50 tff(9703,plain,
% 3.25/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.25/3.50 inference(quant_inst,[status(thm)],[])).
% 3.25/3.50 tff(9704,plain,
% 3.25/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))),
% 3.25/3.50 inference(modus_ponens,[status(thm)],[9703, 9702])).
% 3.25/3.50 tff(9705,plain,
% 3.25/3.50 ($false),
% 3.25/3.50 inference(unit_resolution,[status(thm)],[9704, 213, 9658, 9612, 9698, 9564, 9696, 9685, 9598])).
% 3.25/3.50 tff(9706,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.25/3.50 tff(9707,plain,
% 3.25/3.50 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.50 inference(unit_resolution,[status(thm)],[9706, 117, 7, 1027])).
% 3.25/3.50 tff(9708,plain,
% 3.25/3.50 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.25/3.50 inference(unit_resolution,[status(thm)],[596, 9707])).
% 3.25/3.50 tff(9709,plain,
% 3.25/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.50 inference(rewrite,[status(thm)],[])).
% 3.35/3.50 tff(9710,plain,
% 3.35/3.50 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.50 inference(rewrite,[status(thm)],[])).
% 3.35/3.50 tff(9711,plain,
% 3.35/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 3.35/3.50 inference(monotonicity,[status(thm)],[9710])).
% 3.35/3.50 tff(9712,plain,
% 3.35/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.50 inference(transitivity,[status(thm)],[9711, 9709])).
% 3.35/3.50 tff(9713,plain,
% 3.35/3.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.50 inference(quant_inst,[status(thm)],[])).
% 3.35/3.50 tff(9714,plain,
% 3.35/3.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.35/3.50 inference(modus_ponens,[status(thm)],[9713, 9712])).
% 3.35/3.50 tff(9715,plain,
% 3.35/3.50 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9714, 76, 9554, 9708, 9594, 9576])).
% 3.35/3.50 tff(9716,plain,
% 3.35/3.50 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[1871, 9715])).
% 3.35/3.50 tff(9717,plain,
% 3.35/3.50 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[5307, 9716, 9071, 9564])).
% 3.35/3.50 tff(9718,plain,
% 3.35/3.50 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[2750, 9717])).
% 3.35/3.50 tff(9719,plain,
% 3.35/3.50 ($false),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[4678, 76, 9554, 9566, 9594, 9718, 9576])).
% 3.35/3.50 tff(9720,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.50 tff(9721,plain,
% 3.35/3.50 (~r(s(z), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9720, 1027, 7])).
% 3.35/3.50 tff(9722,plain,
% 3.35/3.50 (b(s(z), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[796, 9721])).
% 3.35/3.50 tff(9723,plain,
% 3.35/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.35/3.50 inference(rewrite,[status(thm)],[])).
% 3.35/3.50 tff(9724,plain,
% 3.35/3.50 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.35/3.50 inference(rewrite,[status(thm)],[])).
% 3.35/3.50 tff(9725,plain,
% 3.35/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 3.35/3.50 inference(monotonicity,[status(thm)],[9724])).
% 3.35/3.50 tff(9726,plain,
% 3.35/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.35/3.50 inference(transitivity,[status(thm)],[9725, 9723])).
% 3.35/3.50 tff(9727,plain,
% 3.35/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))),
% 3.35/3.50 inference(quant_inst,[status(thm)],[])).
% 3.35/3.50 tff(9728,plain,
% 3.35/3.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 3.35/3.50 inference(modus_ponens,[status(thm)],[9727, 9726])).
% 3.35/3.50 tff(9729,plain,
% 3.35/3.50 ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9728, 213, 9071, 782, 7, 7253])).
% 3.35/3.50 tff(9730,plain,
% 3.35/3.50 (~b(z, s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9729, 202])).
% 3.35/3.50 tff(9731,plain,
% 3.35/3.50 (r(z, s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[370, 9730])).
% 3.35/3.50 tff(9732,plain,
% 3.35/3.50 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9234, 9077, 9071, 691, 9079, 1016])).
% 3.35/3.50 tff(9733,plain,
% 3.35/3.50 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[250, 9732])).
% 3.35/3.50 tff(9734,plain,
% 3.35/3.50 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[6126, 9733, 9071, 7, 782])).
% 3.35/3.50 tff(9735,plain,
% 3.35/3.50 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[115, 9734])).
% 3.35/3.50 tff(9736,plain,
% 3.35/3.50 (~b(s(s(s(s(z)))), z)),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[5023, 9733, 7, 9071])).
% 3.35/3.50 tff(9737,plain,
% 3.35/3.50 (r(s(s(s(s(z)))), z)),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[170, 9736])).
% 3.35/3.50 tff(9738,plain,
% 3.35/3.50 ($false),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[3355, 9737, 9735, 9731, 7273])).
% 3.35/3.50 tff(9739,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.50 tff(9740,plain,
% 3.35/3.50 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9739, 691, 9722, 7, 9559])).
% 3.35/3.50 tff(9741,plain,
% 3.35/3.50 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[233, 9740])).
% 3.35/3.50 tff(9742,plain,
% 3.35/3.50 (~r(z, s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[8215, 9741, 1027, 691, 7253])).
% 3.35/3.50 tff(9743,plain,
% 3.35/3.50 (b(z, s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[370, 9742])).
% 3.35/3.50 tff(9744,plain,
% 3.35/3.50 ($false),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[5187, 213, 1, 5015, 782, 284])).
% 3.35/3.50 tff(9745,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.50 tff(9746,plain,
% 3.35/3.50 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9745, 9743, 9071, 9722])).
% 3.35/3.50 tff(9747,plain,
% 3.35/3.50 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[115, 9746])).
% 3.35/3.50 tff(9748,plain,
% 3.35/3.50 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[7261, 9743, 7])).
% 3.35/3.50 tff(9749,plain,
% 3.35/3.50 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[450, 9748])).
% 3.35/3.50 tff(9750,plain,
% 3.35/3.50 (~b(s(z), z)),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[8034, 9741, 1027, 9559, 7])).
% 3.35/3.50 tff(9751,plain,
% 3.35/3.50 (r(s(z), z)),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[3759, 9750])).
% 3.35/3.50 tff(9752,plain,
% 3.35/3.50 ($false),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[5129, 213, 1, 5015, 782, 191])).
% 3.35/3.50 tff(9753,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.50 tff(9754,plain,
% 3.35/3.50 (~b(s(s(s(s(z)))), z)),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9753, 9743, 9071, 9722])).
% 3.35/3.50 tff(9755,plain,
% 3.35/3.50 (r(s(s(s(s(z)))), z)),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[170, 9754])).
% 3.35/3.50 tff(9756,plain,
% 3.35/3.50 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[1960, 9755, 9741, 9751, 9747])).
% 3.35/3.50 tff(9757,plain,
% 3.35/3.50 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[153, 9756])).
% 3.35/3.50 tff(9758,plain,
% 3.35/3.50 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[3405, 9757, 7253, 9722])).
% 3.35/3.50 tff(9759,plain,
% 3.35/3.50 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[250, 9758])).
% 3.35/3.50 tff(9760,plain,
% 3.35/3.50 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[1659, 9759, 1027, 9749, 9747])).
% 3.35/3.50 tff(9761,plain,
% 3.35/3.50 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[5249, 9755, 691, 9751, 9747])).
% 3.35/3.50 tff(9762,plain,
% 3.35/3.50 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[2750, 9761])).
% 3.35/3.50 tff(9763,plain,
% 3.35/3.50 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[5249, 16, 691, 9751, 9075])).
% 3.35/3.50 tff(9764,plain,
% 3.35/3.50 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[2750, 9763])).
% 3.35/3.50 tff(9765,plain,
% 3.35/3.50 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[5644, 9764, 9071, 9559])).
% 3.35/3.50 tff(9766,plain,
% 3.35/3.50 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[1871, 9765])).
% 3.35/3.50 tff(9767,plain,
% 3.35/3.50 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[3405, 203, 7253, 9722])).
% 3.35/3.50 tff(9768,plain,
% 3.35/3.50 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[250, 9767])).
% 3.35/3.50 tff(9769,plain,
% 3.35/3.50 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[3157, 11, 691, 9741])).
% 3.35/3.50 tff(9770,plain,
% 3.35/3.50 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[1042, 9769])).
% 3.35/3.50 tff(9771,plain,
% 3.35/3.50 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[3405, 203, 4, 782])).
% 3.35/3.50 tff(9772,plain,
% 3.35/3.50 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[250, 9771])).
% 3.35/3.50 tff(9773,plain,
% 3.35/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.50 inference(rewrite,[status(thm)],[])).
% 3.35/3.50 tff(9774,plain,
% 3.35/3.50 (((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.50 inference(rewrite,[status(thm)],[])).
% 3.35/3.50 tff(9775,plain,
% 3.35/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 3.35/3.50 inference(monotonicity,[status(thm)],[9774])).
% 3.35/3.50 tff(9776,plain,
% 3.35/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.50 inference(transitivity,[status(thm)],[9775, 9773])).
% 3.35/3.50 tff(9777,plain,
% 3.35/3.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.50 inference(quant_inst,[status(thm)],[])).
% 3.35/3.50 tff(9778,plain,
% 3.35/3.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.35/3.50 inference(modus_ponens,[status(thm)],[9777, 9776])).
% 3.35/3.50 tff(9779,plain,
% 3.35/3.50 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9778, 76, 16, 11, 9772, 12])).
% 3.35/3.50 tff(9780,plain,
% 3.35/3.50 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[1871, 9779])).
% 3.35/3.50 tff(9781,plain,
% 3.35/3.50 ($false),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[3274, 213, 1507, 203, 2305, 9780])).
% 3.35/3.50 tff(9782,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.50 tff(9783,plain,
% 3.35/3.50 (~r(s(s(s(z))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9782, 9764, 7253, 203, 9770, 16, 11, 9722])).
% 3.35/3.50 tff(9784,plain,
% 3.35/3.50 (b(s(s(s(z))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[535, 9783])).
% 3.35/3.50 tff(9785,plain,
% 3.35/3.50 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[1462, 76, 2, 16, 155, 706])).
% 3.35/3.50 tff(9786,plain,
% 3.35/3.50 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[338, 9785])).
% 3.35/3.50 tff(9787,plain,
% 3.35/3.50 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[6686, 76, 16, 5, 706, 598])).
% 3.35/3.50 tff(9788,plain,
% 3.35/3.50 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[316, 9787])).
% 3.35/3.50 tff(9789,plain,
% 3.35/3.50 ($false),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[5233, 9788, 9786, 5015, 8322])).
% 3.35/3.50 tff(9790,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.50 tff(9791,plain,
% 3.35/3.50 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9790, 598, 16, 5, 9071, 2, 155, 7263, 738])).
% 3.35/3.50 tff(9792,plain,
% 3.35/3.50 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[610, 9791])).
% 3.35/3.50 tff(9793,plain,
% 3.35/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.50 inference(rewrite,[status(thm)],[])).
% 3.35/3.50 tff(9794,plain,
% 3.35/3.50 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.50 inference(rewrite,[status(thm)],[])).
% 3.35/3.50 tff(9795,plain,
% 3.35/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.35/3.50 inference(monotonicity,[status(thm)],[9794])).
% 3.35/3.50 tff(9796,plain,
% 3.35/3.50 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.50 inference(transitivity,[status(thm)],[9795, 9793])).
% 3.35/3.50 tff(9797,plain,
% 3.35/3.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.50 inference(quant_inst,[status(thm)],[])).
% 3.35/3.50 tff(9798,plain,
% 3.35/3.50 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.50 inference(modus_ponens,[status(thm)],[9797, 9796])).
% 3.35/3.50 tff(9799,plain,
% 3.35/3.50 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[9798, 76, 11, 5, 598, 1556])).
% 3.35/3.50 tff(9800,plain,
% 3.35/3.50 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.50 inference(unit_resolution,[status(thm)],[4243, 9799])).
% 3.35/3.50 tff(9801,plain,
% 3.35/3.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.35/3.51 inference(rewrite,[status(thm)],[])).
% 3.35/3.51 tff(9802,plain,
% 3.35/3.51 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.35/3.51 inference(rewrite,[status(thm)],[])).
% 3.35/3.51 tff(9803,plain,
% 3.35/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.35/3.51 inference(monotonicity,[status(thm)],[9802])).
% 3.35/3.51 tff(9804,plain,
% 3.35/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.35/3.51 inference(transitivity,[status(thm)],[9803, 9801])).
% 3.35/3.51 tff(9805,plain,
% 3.35/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.51 inference(quant_inst,[status(thm)],[])).
% 3.35/3.51 tff(9806,plain,
% 3.35/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.35/3.51 inference(modus_ponens,[status(thm)],[9805, 9804])).
% 3.35/3.51 tff(9807,plain,
% 3.35/3.51 ($false),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9806, 213, 281, 7, 8, 2812, 7253, 867, 1016])).
% 3.35/3.51 tff(9808,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.51 tff(9809,plain,
% 3.35/3.51 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9808, 9792, 7, 8, 9800, 1016])).
% 3.35/3.51 tff(9810,plain,
% 3.35/3.51 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[627, 9809])).
% 3.35/3.51 tff(9811,plain,
% 3.35/3.51 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[1454, 9810, 16, 155, 1, 782, 9792])).
% 3.35/3.51 tff(9812,plain,
% 3.35/3.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9667, 9810])).
% 3.35/3.51 tff(9813,plain,
% 3.35/3.51 ($false),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[316, 9812, 9811])).
% 3.35/3.51 tff(9814,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.51 tff(9815,plain,
% 3.35/3.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9814, 16, 9741, 9075, 9743, 9722, 7, 9784, 9559, 11, 9768, 9766, 9751])).
% 3.35/3.51 tff(9816,plain,
% 3.35/3.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[484, 9815])).
% 3.35/3.51 tff(9817,plain,
% 3.35/3.51 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[5249, 16, 691, 2, 155])).
% 3.35/3.51 tff(9818,plain,
% 3.35/3.51 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[2750, 9817])).
% 3.35/3.51 tff(9819,plain,
% 3.35/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.51 inference(rewrite,[status(thm)],[])).
% 3.35/3.51 tff(9820,plain,
% 3.35/3.51 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.51 inference(rewrite,[status(thm)],[])).
% 3.35/3.51 tff(9821,plain,
% 3.35/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.35/3.51 inference(monotonicity,[status(thm)],[9820])).
% 3.35/3.51 tff(9822,plain,
% 3.35/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.51 inference(transitivity,[status(thm)],[9821, 9819])).
% 3.35/3.51 tff(9823,plain,
% 3.35/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.51 inference(quant_inst,[status(thm)],[])).
% 3.35/3.51 tff(9824,plain,
% 3.35/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.35/3.51 inference(modus_ponens,[status(thm)],[9823, 9822])).
% 3.35/3.51 tff(9825,plain,
% 3.35/3.51 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9824, 213, 203, 467, 8, 4, 9818])).
% 3.35/3.51 tff(9826,plain,
% 3.35/3.51 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9825, 9786])).
% 3.35/3.51 tff(9827,plain,
% 3.35/3.51 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[653, 9826])).
% 3.35/3.51 tff(9828,plain,
% 3.35/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.51 inference(rewrite,[status(thm)],[])).
% 3.35/3.51 tff(9829,plain,
% 3.35/3.51 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.51 inference(rewrite,[status(thm)],[])).
% 3.35/3.51 tff(9830,plain,
% 3.35/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.35/3.51 inference(monotonicity,[status(thm)],[9829])).
% 3.35/3.51 tff(9831,plain,
% 3.35/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(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(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.51 inference(transitivity,[status(thm)],[9830, 9828])).
% 3.35/3.51 tff(9832,plain,
% 3.35/3.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.51 inference(quant_inst,[status(thm)],[])).
% 3.35/3.51 tff(9833,plain,
% 3.35/3.51 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.51 inference(modus_ponens,[status(thm)],[9832, 9831])).
% 3.35/3.51 tff(9834,plain,
% 3.35/3.51 ($false),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9833, 76, 16, 706, 690, 1027, 705])).
% 3.35/3.51 tff(9835,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.51 tff(9836,plain,
% 3.35/3.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9835, 9827, 1027, 16, 706])).
% 3.35/3.51 tff(9837,plain,
% 3.35/3.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[316, 9836])).
% 3.35/3.51 tff(9838,plain,
% 3.35/3.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[1395, 9827, 2, 691, 706])).
% 3.35/3.51 tff(9839,plain,
% 3.35/3.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[627, 9838])).
% 3.35/3.51 tff(9840,plain,
% 3.35/3.51 ($false),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[5233, 9839, 9837, 5015, 9786])).
% 3.35/3.51 tff(9841,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.51 tff(9842,plain,
% 3.35/3.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9841, 16, 9751, 691, 1027, 9071, 203, 9816, 9784, 7253, 9075])).
% 3.35/3.51 tff(9843,plain,
% 3.35/3.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[610, 9842])).
% 3.35/3.51 tff(9844,plain,
% 3.35/3.51 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[7614, 467, 4, 782, 203])).
% 3.35/3.51 tff(9845,plain,
% 3.35/3.51 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[436, 9844])).
% 3.35/3.51 tff(9846,plain,
% 3.35/3.51 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[1454, 13, 16, 155, 1, 782, 281])).
% 3.35/3.51 tff(9847,plain,
% 3.35/3.51 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[316, 9846])).
% 3.35/3.51 tff(9848,plain,
% 3.35/3.51 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[965, 9847, 9772, 9845])).
% 3.35/3.51 tff(9849,plain,
% 3.35/3.51 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[338, 9848])).
% 3.35/3.51 tff(9850,plain,
% 3.35/3.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[6006, 9847, 691, 155, 13])).
% 3.35/3.51 tff(9851,plain,
% 3.35/3.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[653, 9850])).
% 3.35/3.51 tff(9852,plain,
% 3.35/3.51 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9824, 213, 203, 467, 8, 4, 2305])).
% 3.35/3.51 tff(9853,plain,
% 3.35/3.51 ($false),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9852, 9851, 9849])).
% 3.35/3.51 tff(9854,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.51 tff(9855,plain,
% 3.35/3.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9854, 9816, 203, 9784, 7253, 9764, 691, 9075, 16, 9743, 9722, 9843])).
% 3.35/3.51 tff(9856,plain,
% 3.35/3.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[627, 9855])).
% 3.35/3.51 tff(9857,plain,
% 3.35/3.51 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[2820, 9856, 7, 9816])).
% 3.35/3.51 tff(9858,plain,
% 3.35/3.51 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[819, 9857])).
% 3.35/3.51 tff(9859,plain,
% 3.35/3.51 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[7614, 9816, 7253, 9722, 203])).
% 3.35/3.51 tff(9860,plain,
% 3.35/3.51 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[436, 9859])).
% 3.35/3.51 tff(9861,plain,
% 3.35/3.51 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9808, 9856, 7, 9784, 9843, 9559])).
% 3.35/3.51 tff(9862,plain,
% 3.35/3.51 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[4243, 9861])).
% 3.35/3.51 tff(9863,plain,
% 3.35/3.51 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[5873, 9862, 11, 9766, 9860])).
% 3.35/3.51 tff(9864,plain,
% 3.35/3.51 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[316, 9863])).
% 3.35/3.51 tff(9865,plain,
% 3.35/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.51 inference(rewrite,[status(thm)],[])).
% 3.35/3.51 tff(9866,plain,
% 3.35/3.51 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.51 inference(rewrite,[status(thm)],[])).
% 3.35/3.51 tff(9867,plain,
% 3.35/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 3.35/3.51 inference(monotonicity,[status(thm)],[9866])).
% 3.35/3.51 tff(9868,plain,
% 3.35/3.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.51 inference(transitivity,[status(thm)],[9867, 9865])).
% 3.35/3.51 tff(9869,plain,
% 3.35/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.51 inference(quant_inst,[status(thm)],[])).
% 3.35/3.51 tff(9870,plain,
% 3.35/3.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 3.35/3.51 inference(modus_ponens,[status(thm)],[9869, 9868])).
% 3.35/3.51 tff(9871,plain,
% 3.35/3.51 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9870, 213, 203, 9816, 9784, 7253, 9764])).
% 3.35/3.51 tff(9872,plain,
% 3.35/3.51 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[9871, 9864])).
% 3.35/3.51 tff(9873,plain,
% 3.35/3.51 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.51 inference(unit_resolution,[status(thm)],[653, 9872])).
% 3.35/3.51 tff(9874,plain,
% 3.35/3.51 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.52 inference(rewrite,[status(thm)],[])).
% 3.35/3.52 tff(9875,plain,
% 3.35/3.52 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.52 inference(rewrite,[status(thm)],[])).
% 3.35/3.52 tff(9876,plain,
% 3.35/3.52 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.35/3.52 inference(monotonicity,[status(thm)],[9875])).
% 3.35/3.52 tff(9877,plain,
% 3.35/3.52 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.52 inference(transitivity,[status(thm)],[9876, 9874])).
% 3.35/3.52 tff(9878,plain,
% 3.35/3.52 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.52 inference(quant_inst,[status(thm)],[])).
% 3.35/3.52 tff(9879,plain,
% 3.35/3.52 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.52 inference(modus_ponens,[status(thm)],[9878, 9877])).
% 3.35/3.52 tff(9880,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9879, 76, 11, 9741, 691, 9873, 9858])).
% 3.35/3.52 tff(9881,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9882,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9881, 9757, 691, 9747, 7, 1027])).
% 3.35/3.52 tff(9883,plain,
% 3.35/3.52 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[596, 9882])).
% 3.35/3.52 tff(9884,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3458, 9883, 9757, 9762])).
% 3.35/3.52 tff(9885,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1042, 9884, 9760])).
% 3.35/3.52 tff(9886,plain,((~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9887,plain,
% 3.35/3.52 (~r(z, s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9886, 1027, 7])).
% 3.35/3.52 tff(9888,plain,
% 3.35/3.52 (b(z, s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[581, 9887])).
% 3.35/3.52 tff(9889,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5418, 191, 9071, 9888])).
% 3.35/3.52 tff(9890,plain,
% 3.35/3.52 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1871, 9889])).
% 3.35/3.52 tff(9891,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5279, 191, 7, 9071])).
% 3.35/3.52 tff(9892,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[153, 9891])).
% 3.35/3.52 tff(9893,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5023, 191, 7, 9071])).
% 3.35/3.52 tff(9894,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[250, 9893])).
% 3.35/3.52 tff(9895,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2664, 9890, 9894, 9892])).
% 3.35/3.52 tff(9896,plain,
% 3.35/3.52 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[596, 9895])).
% 3.35/3.52 tff(9897,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2493, 9896, 7, 9888])).
% 3.35/3.52 tff(9898,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1042, 9897])).
% 3.35/3.52 tff(9899,plain,
% 3.35/3.52 (~b(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9753, 191, 9071, 9722])).
% 3.35/3.52 tff(9900,plain,
% 3.35/3.52 (r(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[370, 9899])).
% 3.35/3.52 tff(9901,plain,
% 3.35/3.52 (~b(s(z), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5440, 191, 9071, 9722])).
% 3.35/3.52 tff(9902,plain,
% 3.35/3.52 (r(s(z), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3759, 9901])).
% 3.35/3.52 tff(9903,plain,
% 3.35/3.52 (~b(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9574, 9892, 9888, 7])).
% 3.35/3.52 tff(9904,plain,
% 3.35/3.52 (r(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2303, 9903])).
% 3.35/3.52 tff(9905,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2775, 9904, 9902, 9900])).
% 3.35/3.52 tff(9906,plain,
% 3.35/3.52 (b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 9905])).
% 3.35/3.52 tff(9907,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7428, 9906, 7253, 9896])).
% 3.35/3.52 tff(9908,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 9907])).
% 3.35/3.52 tff(9909,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9172, 76, 9908, 9894, 9898, 1027, 9890])).
% 3.35/3.52 tff(9910,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9911,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9910, 1027, 7])).
% 3.35/3.52 tff(9912,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[170, 9911])).
% 3.35/3.52 tff(9913,plain,
% 3.35/3.52 (~b(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7845, 3771, 9888, 7])).
% 3.35/3.52 tff(9914,plain,
% 3.35/3.52 (r(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2303, 9913])).
% 3.35/3.52 tff(9915,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5785, 3771, 9071, 9722])).
% 3.35/3.52 tff(9916,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[115, 9915])).
% 3.35/3.52 tff(9917,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7701, 9916, 1027, 9914, 9912])).
% 3.35/3.52 tff(9918,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2750, 9917])).
% 3.35/3.52 tff(9919,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5307, 9918, 9071, 9888])).
% 3.35/3.52 tff(9920,plain,
% 3.35/3.52 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1871, 9919])).
% 3.35/3.52 tff(9921,plain,
% 3.35/3.52 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7271, 3771, 7, 7253])).
% 3.35/3.52 tff(9922,plain,
% 3.35/3.52 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[233, 9921])).
% 3.35/3.52 tff(9923,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9714, 76, 155, 11, 738, 2296, 1556])).
% 3.35/3.52 tff(9924,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9925,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9924, 9922, 9912, 9914, 9920])).
% 3.35/3.52 tff(9926,plain,
% 3.35/3.52 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[596, 9925])).
% 3.35/3.52 tff(9927,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2493, 9926, 7, 9888])).
% 3.35/3.52 tff(9928,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1042, 9927])).
% 3.35/3.52 tff(9929,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[6317, 76, 350, 155, 12, 2296, 1556])).
% 3.35/3.52 tff(9930,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9931,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9930, 7835, 9912, 9914, 9920])).
% 3.35/3.52 tff(9932,plain,
% 3.35/3.52 (b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 9931])).
% 3.35/3.52 tff(9933,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7428, 9926, 7253, 9932])).
% 3.35/3.52 tff(9934,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 9933])).
% 3.35/3.52 tff(9935,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1659, 9934, 1027, 9916, 9928])).
% 3.35/3.52 tff(9936,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[250, 9935])).
% 3.35/3.52 tff(9937,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9610, 9934, 9912, 9922, 9916])).
% 3.35/3.52 tff(9938,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[153, 9937])).
% 3.35/3.52 tff(9939,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5035, 9938, 9936, 7, 9071])).
% 3.35/3.52 tff(9940,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9941,plain,
% 3.35/3.52 (~b(s(z), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9940, 1027, 7])).
% 3.35/3.52 tff(9942,plain,
% 3.35/3.52 (r(s(z), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3759, 9941])).
% 3.35/3.52 tff(9943,plain,
% 3.35/3.52 (~b(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2797, 506, 7, 9888])).
% 3.35/3.52 tff(9944,plain,
% 3.35/3.52 (r(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2303, 9943])).
% 3.35/3.52 tff(9945,plain,
% 3.35/3.52 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[4433, 506, 7, 9888])).
% 3.35/3.52 tff(9946,plain,
% 3.35/3.52 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[233, 9945])).
% 3.35/3.52 tff(9947,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2493, 506, 7, 9888])).
% 3.35/3.52 tff(9948,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1042, 9947])).
% 3.35/3.52 tff(9949,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9182, 6, 1028, 2296, 5015, 1065])).
% 3.35/3.52 tff(9950,plain,
% 3.35/3.52 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1871, 9949])).
% 3.35/3.52 tff(9951,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1960, 6, 155, 2, 738])).
% 3.35/3.52 tff(9952,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[115, 9951])).
% 3.35/3.52 tff(9953,plain,
% 3.35/3.52 (~b(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9745, 9952, 5015, 782])).
% 3.35/3.52 tff(9954,plain,
% 3.35/3.52 (r(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[370, 9953])).
% 3.35/3.52 tff(9955,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[6618, 6, 155, 1028, 2296])).
% 3.35/3.52 tff(9956,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2750, 9955])).
% 3.35/3.52 tff(9957,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3878, 9956, 782, 9952])).
% 3.35/3.52 tff(9958,plain,
% 3.35/3.52 (r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 9957])).
% 3.35/3.52 tff(9959,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9930, 9958, 9954, 155, 2296, 9950])).
% 3.35/3.52 tff(9960,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9961,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9960, 9944, 9912, 9722, 9071, 9948, 9888, 9942, 9946])).
% 3.35/3.52 tff(9962,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[153, 9961])).
% 3.35/3.52 tff(9963,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[6126, 468, 9071, 7, 782])).
% 3.35/3.52 tff(9964,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[115, 9963])).
% 3.35/3.52 tff(9965,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1960, 9964, 9073, 155, 2, 738])).
% 3.35/3.52 tff(9966,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9967,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9966, 9946, 9942, 9912, 7, 9722])).
% 3.35/3.52 tff(9968,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[250, 9967])).
% 3.35/3.52 tff(9969,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7701, 9178, 1027, 2296, 155])).
% 3.35/3.52 tff(9970,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[115, 9969])).
% 3.35/3.52 tff(9971,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[8061, 9970, 4, 203])).
% 3.35/3.52 tff(9972,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[8221, 9970, 782, 1028, 5, 2350])).
% 3.35/3.52 tff(9973,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 9972, 9971])).
% 3.35/3.52 tff(9974,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9975,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9974, 9948, 9722, 9968, 7253, 9962, 1027, 9944, 9912, 9071, 9888])).
% 3.35/3.52 tff(9976,plain,
% 3.35/3.52 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1871, 9975])).
% 3.35/3.52 tff(9977,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9172, 76, 9968, 9948, 1027, 9976])).
% 3.35/3.52 tff(9978,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 9977])).
% 3.35/3.52 tff(9979,plain,
% 3.35/3.52 (~b(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7261, 9978, 7])).
% 3.35/3.52 tff(9980,plain,
% 3.35/3.52 (r(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[370, 9979])).
% 3.35/3.52 tff(9981,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7428, 9978, 7253, 506])).
% 3.35/3.52 tff(9982,plain,
% 3.35/3.52 (r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 9981])).
% 3.35/3.52 tff(9983,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9930, 9982, 9980, 9912, 9944, 9976])).
% 3.35/3.52 tff(9984,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(9985,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9984, 1027, 7])).
% 3.35/3.52 tff(9986,plain,
% 3.35/3.52 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[596, 9985])).
% 3.35/3.52 tff(9987,plain,
% 3.35/3.52 ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9728, 213, 9071, 9722, 7, 7253])).
% 3.35/3.52 tff(9988,plain,
% 3.35/3.52 (~b(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9987, 202])).
% 3.35/3.52 tff(9989,plain,
% 3.35/3.52 (r(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[370, 9988])).
% 3.35/3.52 tff(9990,plain,
% 3.35/3.52 (~b(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9574, 9079, 9888, 7])).
% 3.35/3.52 tff(9991,plain,
% 3.35/3.52 (r(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2303, 9990])).
% 3.35/3.52 tff(9992,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2775, 9991, 9942, 9989])).
% 3.35/3.52 tff(9993,plain,
% 3.35/3.52 (b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 9992])).
% 3.35/3.52 tff(9994,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[4169, 9993, 1027, 9722, 9986, 9079])).
% 3.35/3.52 tff(9995,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3355, 9989, 9912, 9942])).
% 3.35/3.52 tff(9996,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[115, 9995])).
% 3.35/3.52 tff(9997,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[8091, 9996, 9722, 7253])).
% 3.35/3.52 tff(9998,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[250, 9997])).
% 3.35/3.52 tff(9999,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2664, 9998, 9986, 9079])).
% 3.35/3.52 tff(10000,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1871, 9999, 9994])).
% 3.35/3.52 tff(10001,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(10002,plain,
% 3.35/3.52 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10001, 1027, 7])).
% 3.35/3.52 tff(10003,plain,
% 3.35/3.52 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[233, 10002])).
% 3.35/3.52 tff(10004,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9966, 10003, 9942, 9912, 7, 9722])).
% 3.35/3.52 tff(10005,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[250, 10004])).
% 3.35/3.52 tff(10006,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1515, 1016, 7, 9888])).
% 3.35/3.52 tff(10007,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1042, 10006])).
% 3.35/3.52 tff(10008,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9099, 1016, 9071, 9888])).
% 3.35/3.52 tff(10009,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2750, 10008])).
% 3.35/3.52 tff(10010,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9574, 1016, 9888, 7])).
% 3.35/3.52 tff(10011,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[153, 10010])).
% 3.35/3.52 tff(10012,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[4943, 12, 1028, 5, 2410])).
% 3.35/3.52 tff(10013,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 10012])).
% 3.35/3.52 tff(10014,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3633, 12, 155, 2, 2410])).
% 3.35/3.52 tff(10015,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[115, 10014])).
% 3.35/3.52 tff(10016,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[8061, 10015, 10013, 4, 203])).
% 3.35/3.52 tff(10017,plain,((~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(10018,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10017, 10011, 7253, 9912, 9942, 10009, 10007, 10005])).
% 3.35/3.52 tff(10019,plain,
% 3.35/3.52 (b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 10018])).
% 3.35/3.52 tff(10020,plain,
% 3.35/3.52 (~b(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9745, 284, 9071, 782])).
% 3.35/3.52 tff(10021,plain,
% 3.35/3.52 (r(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[370, 10020])).
% 3.35/3.52 tff(10022,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7442, 284, 7253, 5, 8])).
% 3.35/3.52 tff(10023,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 10022])).
% 3.35/3.52 tff(10024,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[8581, 10023, 1065, 1016, 7, 10021, 2])).
% 3.35/3.52 tff(10025,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[610, 10024])).
% 3.35/3.52 tff(10026,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1265, 213, 782, 284, 10025])).
% 3.35/3.52 tff(10027,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[316, 10026])).
% 3.35/3.52 tff(10028,plain,
% 3.35/3.52 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9574, 1016, 1065, 7])).
% 3.35/3.52 tff(10029,plain,
% 3.35/3.52 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[153, 10028])).
% 3.35/3.52 tff(10030,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1283, 213, 782, 284, 10025])).
% 3.35/3.52 tff(10031,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[338, 10030])).
% 3.35/3.52 tff(10032,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[965, 10027, 5, 10031])).
% 3.35/3.52 tff(10033,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[436, 10032])).
% 3.35/3.52 tff(10034,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7614, 10033, 7253, 782, 10029])).
% 3.35/3.52 tff(10035,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[484, 10034])).
% 3.35/3.52 tff(10036,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[6924, 76, 738, 5, 10035, 10027])).
% 3.35/3.52 tff(10037,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[627, 10036])).
% 3.35/3.52 tff(10038,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5832, 76, 11, 5, 10035, 10027])).
% 3.35/3.52 tff(10039,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[653, 10038])).
% 3.35/3.52 tff(10040,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[8169, 213, 1065, 10039, 10037, 1016])).
% 3.35/3.52 tff(10041,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(10042,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10041, 1016, 9888, 10003, 10005, 9986, 9722, 7, 9942, 10019])).
% 3.35/3.52 tff(10043,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[115, 10042])).
% 3.35/3.52 tff(10044,plain,
% 3.35/3.52 (~r(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3355, 10043, 9912, 9942])).
% 3.35/3.52 tff(10045,plain,
% 3.35/3.52 (b(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[370, 10044])).
% 3.35/3.52 tff(10046,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1659, 10043, 1027, 10005, 10007])).
% 3.35/3.52 tff(10047,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 10046])).
% 3.35/3.52 tff(10048,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7261, 10047, 10045, 7])).
% 3.35/3.52 tff(10049,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(10050,plain,
% 3.35/3.52 (~b(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10049, 1027, 7])).
% 3.35/3.52 tff(10051,plain,
% 3.35/3.52 (r(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2303, 10050])).
% 3.35/3.52 tff(10052,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9924, 10051, 9912, 9986, 10003])).
% 3.35/3.52 tff(10053,plain,
% 3.35/3.52 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1871, 10052])).
% 3.35/3.52 tff(10054,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[5307, 10053, 9071, 9888])).
% 3.35/3.52 tff(10055,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2750, 10054])).
% 3.35/3.52 tff(10056,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3133, 10051, 9942, 9986, 10003])).
% 3.35/3.52 tff(10057,plain,
% 3.35/3.52 (b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 10056])).
% 3.35/3.52 tff(10058,plain,
% 3.35/3.52 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2733, 10053, 9722, 10057])).
% 3.35/3.52 tff(10059,plain,
% 3.35/3.52 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[115, 10058])).
% 3.35/3.52 tff(10060,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7701, 10059, 10055, 1027, 10051, 9912])).
% 3.35/3.52 tff(10061,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(10062,plain,
% 3.35/3.52 (~r(s(z), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10061, 7])).
% 3.35/3.52 tff(10063,plain,
% 3.35/3.52 (b(s(z), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[564, 10062])).
% 3.35/3.52 tff(10064,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9199, 213, 3771, 9071, 191, 7, 7253])).
% 3.35/3.52 tff(10065,plain,((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(10066,plain,
% 3.35/3.52 (~b(s(z), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10065, 191, 7])).
% 3.35/3.52 tff(10067,plain,
% 3.35/3.52 (r(s(z), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[3759, 10066])).
% 3.35/3.52 tff(10068,plain,
% 3.35/3.52 (~b(z, s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9574, 1016, 6, 7])).
% 3.35/3.52 tff(10069,plain,
% 3.35/3.52 (r(z, s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[581, 10068])).
% 3.35/3.52 tff(10070,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1949, 1016, 7, 202])).
% 3.35/3.52 tff(10071,plain,
% 3.35/3.52 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[596, 10070])).
% 3.35/3.52 tff(10072,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[9234, 10071, 10069, 9071, 6, 5, 1016])).
% 3.35/3.52 tff(10073,plain,((~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(10074,plain,
% 3.35/3.52 (~b(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10073, 202, 9894, 7, 9892])).
% 3.35/3.52 tff(10075,plain,
% 3.35/3.52 (r(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2303, 10074])).
% 3.35/3.52 tff(10076,plain,
% 3.35/3.52 (~r(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2775, 2296, 2, 12])).
% 3.35/3.52 tff(10077,plain,
% 3.35/3.52 (b(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[370, 10076])).
% 3.35/3.52 tff(10078,plain,
% 3.35/3.52 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7261, 10077, 7])).
% 3.35/3.52 tff(10079,plain,
% 3.35/3.52 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 10078])).
% 3.35/3.52 tff(10080,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[4953, 10079, 5, 117, 12])).
% 3.35/3.52 tff(10081,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1042, 10080])).
% 3.35/3.52 tff(10082,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7305, 10081, 7253, 10063])).
% 3.35/3.52 tff(10083,plain,
% 3.35/3.52 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[596, 10082])).
% 3.35/3.52 tff(10084,plain,
% 3.35/3.52 (((~![X0: $i, 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(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.35/3.52 inference(rewrite,[status(thm)],[])).
% 3.35/3.52 tff(10085,plain,
% 3.35/3.52 (((~r(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.35/3.52 inference(rewrite,[status(thm)],[])).
% 3.35/3.52 tff(10086,plain,
% 3.35/3.52 (((~![X0: $i, 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(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))))),
% 3.35/3.52 inference(monotonicity,[status(thm)],[10085])).
% 3.35/3.52 tff(10087,plain,
% 3.35/3.52 (((~![X0: $i, 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(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.35/3.52 inference(transitivity,[status(thm)],[10086, 10084])).
% 3.35/3.52 tff(10088,plain,
% 3.35/3.52 ((~![X0: $i, 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(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.52 inference(quant_inst,[status(thm)],[])).
% 3.35/3.52 tff(10089,plain,
% 3.35/3.52 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))),
% 3.35/3.52 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 3.35/3.52 tff(10090,plain,
% 3.35/3.52 ($false),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10089, 76, 2, 10083, 10079, 12, 2296])).
% 3.35/3.52 tff(10091,plain,((~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.52 tff(10092,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[10091, 10075, 10067, 9894, 117, 7])).
% 3.35/3.52 tff(10093,plain,
% 3.35/3.52 (b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 10092])).
% 3.35/3.52 tff(10094,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[461, 16, 9894, 117])).
% 3.35/3.52 tff(10095,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[450, 10094])).
% 3.35/3.52 tff(10096,plain,
% 3.35/3.52 (~b(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[7261, 10095, 7])).
% 3.35/3.52 tff(10097,plain,
% 3.35/3.52 (r(z, s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[370, 10096])).
% 3.35/3.52 tff(10098,plain,
% 3.35/3.52 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[8445, 10095, 7, 202])).
% 3.35/3.52 tff(10099,plain,
% 3.35/3.52 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[596, 10098])).
% 3.35/3.52 tff(10100,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2664, 10099, 9892, 9894])).
% 3.35/3.52 tff(10101,plain,
% 3.35/3.52 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[1871, 10100])).
% 3.35/3.52 tff(10102,plain,
% 3.35/3.52 (~b(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[8429, 10101, 7, 202, 191])).
% 3.35/3.52 tff(10103,plain,
% 3.35/3.52 (r(s(s(s(z))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2303, 10102])).
% 3.35/3.52 tff(10104,plain,
% 3.35/3.52 (~r(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[2775, 10103, 10067, 10097])).
% 3.35/3.52 tff(10105,plain,
% 3.35/3.52 (b(s(s(s(z))), s(z))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[535, 10104])).
% 3.35/3.52 tff(10106,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[712, 76, 117, 16, 706])).
% 3.35/3.52 tff(10107,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[314, 110, 311, 10106])).
% 3.35/3.52 tff(10108,plain,
% 3.35/3.52 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[915, 76, 2, 350, 706])).
% 3.35/3.52 tff(10109,plain,
% 3.35/3.52 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.52 inference(unit_resolution,[status(thm)],[625, 110, 622, 10108])).
% 3.35/3.52 tff(10110,plain,
% 3.35/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.52 inference(rewrite,[status(thm)],[])).
% 3.35/3.52 tff(10111,plain,
% 3.35/3.52 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.52 inference(rewrite,[status(thm)],[])).
% 3.35/3.52 tff(10112,plain,
% 3.35/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.35/3.52 inference(monotonicity,[status(thm)],[10111])).
% 3.35/3.52 tff(10113,plain,
% 3.35/3.52 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.52 inference(transitivity,[status(thm)],[10112, 10110])).
% 3.35/3.53 tff(10114,plain,
% 3.35/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.53 inference(quant_inst,[status(thm)],[])).
% 3.35/3.53 tff(10115,plain,
% 3.35/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.53 inference(modus_ponens,[status(thm)],[10114, 10113])).
% 3.35/3.53 tff(10116,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10115, 213, 5015, 191, 10109, 10107])).
% 3.35/3.53 tff(10117,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10118,plain,
% 3.35/3.53 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10117, 10097, 9071, 10067, 117, 191, 16])).
% 3.35/3.53 tff(10119,plain,
% 3.35/3.53 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[610, 10118])).
% 3.35/3.53 tff(10120,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.53 inference(rewrite,[status(thm)],[])).
% 3.35/3.53 tff(10121,plain,
% 3.35/3.53 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.53 inference(rewrite,[status(thm)],[])).
% 3.35/3.53 tff(10122,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.35/3.53 inference(monotonicity,[status(thm)],[10121])).
% 3.35/3.53 tff(10123,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.53 inference(transitivity,[status(thm)],[10122, 10120])).
% 3.35/3.53 tff(10124,plain,
% 3.35/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.53 inference(quant_inst,[status(thm)],[])).
% 3.35/3.53 tff(10125,plain,
% 3.35/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.35/3.53 inference(modus_ponens,[status(thm)],[10124, 10123])).
% 3.35/3.53 tff(10126,plain,
% 3.35/3.53 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10125, 213, 10119, 10095, 10105, 7253])).
% 3.35/3.53 tff(10127,plain,
% 3.35/3.53 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[8460, 10119, 7252, 10095])).
% 3.35/3.53 tff(10128,plain,
% 3.35/3.53 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[436, 10127])).
% 3.35/3.53 tff(10129,plain,
% 3.35/3.53 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[8470, 10119, 7253, 10095])).
% 3.35/3.53 tff(10130,plain,
% 3.35/3.53 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[484, 10129])).
% 3.35/3.53 tff(10131,plain,
% 3.35/3.53 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[849, 76, 10099, 10130, 10128])).
% 3.35/3.53 tff(10132,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[4243, 10131, 10126])).
% 3.35/3.53 tff(10133,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10134,plain,
% 3.35/3.53 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10133, 202, 7, 191, 117])).
% 3.35/3.53 tff(10135,plain,
% 3.35/3.53 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[115, 10134])).
% 3.35/3.53 tff(10136,plain,
% 3.35/3.53 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[7442, 10093, 7253, 9894, 10135])).
% 3.35/3.53 tff(10137,plain,
% 3.35/3.53 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[450, 10136])).
% 3.35/3.53 tff(10138,plain,
% 3.35/3.53 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[3840, 10093, 10063, 10135])).
% 3.35/3.53 tff(10139,plain,
% 3.35/3.53 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2750, 10138])).
% 3.35/3.53 tff(10140,plain,
% 3.35/3.53 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[9109, 10139, 9894, 117, 10137])).
% 3.35/3.53 tff(10141,plain,
% 3.35/3.53 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[1042, 10140])).
% 3.35/3.53 tff(10142,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[8515, 213, 10141, 10063, 10093, 7253])).
% 3.35/3.53 tff(10143,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10144,plain,
% 3.35/3.53 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10143, 117, 7, 191])).
% 3.35/3.53 tff(10145,plain,
% 3.35/3.53 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[233, 10144])).
% 3.35/3.53 tff(10146,plain,
% 3.35/3.53 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[7428, 506, 4, 8])).
% 3.35/3.53 tff(10147,plain,
% 3.35/3.53 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[450, 10146])).
% 3.35/3.53 tff(10148,plain,
% 3.35/3.53 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[9109, 8638, 5, 117, 10147])).
% 3.35/3.53 tff(10149,plain,
% 3.35/3.53 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2750, 10148])).
% 3.35/3.53 tff(10150,plain,
% 3.35/3.53 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[461, 10147, 5, 117])).
% 3.35/3.53 tff(10151,plain,
% 3.35/3.53 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[115, 10150])).
% 3.35/3.53 tff(10152,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[3840, 10151, 10149, 856, 8])).
% 3.35/3.53 tff(10153,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10154,plain,
% 3.35/3.53 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10153, 8, 856, 5, 117, 4])).
% 3.35/3.53 tff(10155,plain,
% 3.35/3.53 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[596, 10154])).
% 3.35/3.53 tff(10156,plain,
% 3.35/3.53 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2664, 10155, 6, 5])).
% 3.35/3.53 tff(10157,plain,
% 3.35/3.53 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[1871, 10156])).
% 3.35/3.53 tff(10158,plain,
% 3.35/3.53 (~b(z, s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[5418, 10157, 5015, 191])).
% 3.35/3.53 tff(10159,plain,
% 3.35/3.53 (r(z, s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[581, 10158])).
% 3.35/3.53 tff(10160,plain,
% 3.35/3.53 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[3157, 10159, 738, 10155])).
% 3.35/3.53 tff(10161,plain,
% 3.35/3.53 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[1042, 10160])).
% 3.35/3.53 tff(10162,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[8515, 213, 10161, 856, 8, 4])).
% 3.35/3.53 tff(10163,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10164,plain,
% 3.35/3.53 (~b(s(s(s(z))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10163, 10145, 7253, 10063, 9071, 191, 9892, 9894, 117])).
% 3.35/3.53 tff(10165,plain,
% 3.35/3.53 (r(s(s(s(z))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[535, 10164])).
% 3.35/3.53 tff(10166,plain,
% 3.35/3.53 (~r(s(s(s(z))), z)),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10091, 10165, 10067, 9894, 117, 7])).
% 3.35/3.53 tff(10167,plain,
% 3.35/3.53 (b(s(s(s(z))), z)),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2303, 10166])).
% 3.35/3.53 tff(10168,plain,
% 3.35/3.53 (~b(z, s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[9574, 10167, 9892, 7])).
% 3.35/3.53 tff(10169,plain,
% 3.35/3.53 (r(z, s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[581, 10168])).
% 3.35/3.53 tff(10170,plain,
% 3.35/3.53 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[9234, 10169, 9071, 9892, 9894, 10167])).
% 3.35/3.53 tff(10171,plain,
% 3.35/3.53 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[596, 10170])).
% 3.35/3.53 tff(10172,plain,
% 3.35/3.53 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[7305, 10171, 7253, 10063])).
% 3.35/3.53 tff(10173,plain,
% 3.35/3.53 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[1042, 10172])).
% 3.35/3.53 tff(10174,plain,
% 3.35/3.53 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[4953, 10173, 9894, 117, 10165])).
% 3.35/3.53 tff(10175,plain,
% 3.35/3.53 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[450, 10174])).
% 3.35/3.53 tff(10176,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.53 inference(rewrite,[status(thm)],[])).
% 3.35/3.53 tff(10177,plain,
% 3.35/3.53 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.53 inference(rewrite,[status(thm)],[])).
% 3.35/3.53 tff(10178,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.35/3.53 inference(monotonicity,[status(thm)],[10177])).
% 3.35/3.53 tff(10179,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.53 inference(transitivity,[status(thm)],[10178, 10176])).
% 3.35/3.53 tff(10180,plain,
% 3.35/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.53 inference(quant_inst,[status(thm)],[])).
% 3.35/3.53 tff(10181,plain,
% 3.35/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.35/3.53 inference(modus_ponens,[status(thm)],[10180, 10179])).
% 3.35/3.53 tff(10182,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10181, 213, 10171, 10175, 10063, 7253])).
% 3.35/3.53 tff(10183,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10184,plain,
% 3.35/3.53 (~r(s(z), s(s(s(s(z)))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10183, 191, 7])).
% 3.35/3.53 tff(10185,plain,
% 3.35/3.53 (b(s(z), s(s(s(s(z)))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[796, 10184])).
% 3.35/3.53 tff(10186,plain,
% 3.35/3.53 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[5378, 10185, 9071, 10063, 191])).
% 3.35/3.53 tff(10187,plain,
% 3.35/3.53 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[1871, 10186])).
% 3.35/3.53 tff(10188,plain,
% 3.35/3.53 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2664, 10187, 9892, 9894])).
% 3.35/3.53 tff(10189,plain,
% 3.35/3.53 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[596, 10188])).
% 3.35/3.53 tff(10190,plain,
% 3.35/3.53 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[7305, 10189, 7253, 10063])).
% 3.35/3.53 tff(10191,plain,
% 3.35/3.53 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[1042, 10190])).
% 3.35/3.53 tff(10192,plain,
% 3.35/3.53 (~b(z, s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[9753, 10185, 9071, 191])).
% 3.35/3.53 tff(10193,plain,
% 3.35/3.53 (r(z, s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[370, 10192])).
% 3.35/3.53 tff(10194,plain,
% 3.35/3.53 (~r(s(s(s(z))), z)),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2775, 12, 2, 350])).
% 3.35/3.53 tff(10195,plain,
% 3.35/3.53 (b(s(s(s(z))), z)),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2303, 10194])).
% 3.35/3.53 tff(10196,plain,
% 3.35/3.53 (~b(z, s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[9574, 10195, 6, 7])).
% 3.35/3.53 tff(10197,plain,
% 3.35/3.53 (r(z, s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[581, 10196])).
% 3.35/3.53 tff(10198,plain,
% 3.35/3.53 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10073, 10195, 5, 7, 6])).
% 3.35/3.53 tff(10199,plain,
% 3.35/3.53 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[233, 10198])).
% 3.35/3.53 tff(10200,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[6329, 76, 350, 10199, 1028, 10197, 12])).
% 3.35/3.53 tff(10201,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10202,plain,
% 3.35/3.53 (~r(s(s(s(z))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10201, 10193, 10191, 9894, 7, 9892, 10067])).
% 3.35/3.53 tff(10203,plain,
% 3.35/3.53 (b(s(s(s(z))), s(z))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[535, 10202])).
% 3.35/3.53 tff(10204,plain,
% 3.35/3.53 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2700, 10203, 10063, 10185])).
% 3.35/3.53 tff(10205,plain,
% 3.35/3.53 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2750, 10204])).
% 3.35/3.53 tff(10206,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[6612, 76, 9894, 10191, 10205, 10187])).
% 3.35/3.53 tff(10207,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10208,plain,
% 3.35/3.53 (~b(s(s(s(s(z)))), z)),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10207, 7])).
% 3.35/3.53 tff(10209,plain,
% 3.35/3.53 (r(s(s(s(s(z)))), z)),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[170, 10208])).
% 3.35/3.53 tff(10210,plain,
% 3.35/3.53 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[6289, 506, 468, 9073, 7, 10209, 1028])).
% 3.35/3.53 tff(10211,plain,
% 3.35/3.53 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2750, 10210])).
% 3.35/3.53 tff(10212,plain,
% 3.35/3.53 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[7305, 1507, 7253, 10063])).
% 3.35/3.53 tff(10213,plain,
% 3.35/3.53 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[596, 10212])).
% 3.35/3.53 tff(10214,plain,
% 3.35/3.53 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[9924, 2296, 10209, 10213, 738])).
% 3.35/3.53 tff(10215,plain,
% 3.35/3.53 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[1871, 10214])).
% 3.35/3.53 tff(10216,plain,
% 3.35/3.53 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[5346, 10215, 468, 1507])).
% 3.35/3.53 tff(10217,plain,
% 3.35/3.53 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[2750, 10216])).
% 3.35/3.53 tff(10218,plain,
% 3.35/3.53 (~r(z, s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[5352, 10217, 10209, 9073, 10213])).
% 3.35/3.53 tff(10219,plain,
% 3.35/3.53 (b(z, s(s(s(z))))),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[581, 10218])).
% 3.35/3.53 tff(10220,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.53 inference(rewrite,[status(thm)],[])).
% 3.35/3.53 tff(10221,plain,
% 3.35/3.53 (((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.53 inference(rewrite,[status(thm)],[])).
% 3.35/3.53 tff(10222,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.35/3.53 inference(monotonicity,[status(thm)],[10221])).
% 3.35/3.53 tff(10223,plain,
% 3.35/3.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.53 inference(transitivity,[status(thm)],[10222, 10220])).
% 3.35/3.53 tff(10224,plain,
% 3.35/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.35/3.53 inference(quant_inst,[status(thm)],[])).
% 3.35/3.53 tff(10225,plain,
% 3.35/3.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.35/3.53 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 3.35/3.53 tff(10226,plain,
% 3.35/3.53 ($false),
% 3.35/3.53 inference(unit_resolution,[status(thm)],[10225, 213, 9071, 284, 1507, 1065, 10063, 7, 468])).
% 3.35/3.53 tff(10227,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.53 tff(10228,plain,
% 3.35/3.54 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10227, 10219, 1507, 7, 468])).
% 3.35/3.54 tff(10229,plain,
% 3.35/3.54 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[115, 10228])).
% 3.35/3.54 tff(10230,plain,
% 3.35/3.54 ($false),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[4731, 76, 350, 10229, 10209, 10217, 2296])).
% 3.35/3.54 tff(10231,plain,((~r(s(s(s(z))), z)) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.54 tff(10232,plain,
% 3.35/3.54 (~r(s(s(s(z))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10231, 1507, 350, 7, 468, 738])).
% 3.35/3.54 tff(10233,plain,
% 3.35/3.54 (b(s(s(s(z))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2303, 10232])).
% 3.35/3.54 tff(10234,plain,
% 3.35/3.54 (~b(z, s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[9574, 10233, 9073, 7])).
% 3.35/3.54 tff(10235,plain,
% 3.35/3.54 (r(z, s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[581, 10234])).
% 3.35/3.54 tff(10236,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10237,plain,
% 3.35/3.54 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10238,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.35/3.54 inference(monotonicity,[status(thm)],[10237])).
% 3.35/3.54 tff(10239,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.54 inference(transitivity,[status(thm)],[10238, 10236])).
% 3.35/3.54 tff(10240,plain,
% 3.35/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.54 inference(quant_inst,[status(thm)],[])).
% 3.35/3.54 tff(10241,plain,
% 3.35/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.35/3.54 inference(modus_ponens,[status(thm)],[10240, 10239])).
% 3.35/3.54 tff(10242,plain,
% 3.35/3.54 ($false),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10241, 213, 5015, 782, 1507, 856, 468, 4, 1016])).
% 3.35/3.54 tff(10243,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.54 tff(10244,plain,
% 3.35/3.54 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10243, 1507, 9071, 10063, 468, 7253, 10233])).
% 3.35/3.54 tff(10245,plain,
% 3.35/3.54 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[796, 10244])).
% 3.35/3.54 tff(10246,plain,
% 3.35/3.54 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[5617, 10245, 9071, 10209, 12, 10233, 10235])).
% 3.35/3.54 tff(10247,plain,
% 3.35/3.54 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[5352, 10235, 10209, 9073, 10213])).
% 3.35/3.54 tff(10248,plain,
% 3.35/3.54 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2750, 10247])).
% 3.35/3.54 tff(10249,plain,
% 3.35/3.54 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[3830, 12])).
% 3.35/3.54 tff(10250,plain,
% 3.35/3.54 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[1871, 10249])).
% 3.35/3.54 tff(10251,plain,
% 3.35/3.54 (~r(s(z), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2880, 12, 691, 350])).
% 3.35/3.54 tff(10252,plain,
% 3.35/3.54 (b(s(z), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[564, 10251])).
% 3.35/3.54 tff(10253,plain,
% 3.35/3.54 ($false),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[3852, 213, 284, 10252, 2305, 10250])).
% 3.35/3.54 tff(10254,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.54 tff(10255,plain,
% 3.35/3.54 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10254, 10245, 350, 10235, 9073, 12, 10248, 10213])).
% 3.35/3.54 tff(10256,plain,
% 3.35/3.54 ($false),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[115, 10255, 10246])).
% 3.35/3.54 tff(10257,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.54 tff(10258,plain,
% 3.35/3.54 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10257, 12, 350, 468, 7, 738])).
% 3.35/3.54 tff(10259,plain,
% 3.35/3.54 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[1042, 10258])).
% 3.35/3.54 tff(10260,plain,
% 3.35/3.54 (~r(z, s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[6329, 76, 350, 738, 10259, 12])).
% 3.35/3.54 tff(10261,plain,
% 3.35/3.54 (b(z, s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[581, 10260])).
% 3.35/3.54 tff(10262,plain,
% 3.35/3.54 (~b(s(s(s(z))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[9574, 10261, 9073, 7])).
% 3.35/3.54 tff(10263,plain,
% 3.35/3.54 (r(s(s(s(z))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2303, 10262])).
% 3.35/3.54 tff(10264,plain,
% 3.35/3.54 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[9930, 10263, 10209, 350, 12])).
% 3.35/3.54 tff(10265,plain,
% 3.35/3.54 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[9182, 10263, 9073, 10259, 9071, 10261])).
% 3.35/3.54 tff(10266,plain,
% 3.35/3.54 ($false),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[1871, 10265, 10264])).
% 3.35/3.54 tff(10267,plain,((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.54 tff(10268,plain,
% 3.35/3.54 (~r(s(s(s(z))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10267, 7835, 7, 9922, 468])).
% 3.35/3.54 tff(10269,plain,
% 3.35/3.54 (b(s(s(s(z))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[535, 10268])).
% 3.35/3.54 tff(10270,plain,
% 3.35/3.54 (~b(z, s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[6470, 10269, 10063, 3771])).
% 3.35/3.54 tff(10271,plain,
% 3.35/3.54 (r(z, s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[581, 10270])).
% 3.35/3.54 tff(10272,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10273,plain,
% 3.35/3.54 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10274,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.35/3.54 inference(monotonicity,[status(thm)],[10273])).
% 3.35/3.54 tff(10275,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.54 inference(transitivity,[status(thm)],[10274, 10272])).
% 3.35/3.54 tff(10276,plain,
% 3.35/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.54 inference(quant_inst,[status(thm)],[])).
% 3.35/3.54 tff(10277,plain,
% 3.35/3.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.35/3.54 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 3.35/3.54 tff(10278,plain,
% 3.35/3.54 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10277, 213, 3771, 10063, 7, 10269, 7253])).
% 3.35/3.54 tff(10279,plain,
% 3.35/3.54 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[1042, 10278])).
% 3.35/3.54 tff(10280,plain,
% 3.35/3.54 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[3157, 10279, 9922, 10271])).
% 3.35/3.54 tff(10281,plain,
% 3.35/3.54 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[596, 10280])).
% 3.35/3.54 tff(10282,plain,
% 3.35/3.54 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[6289, 10281, 468, 9073, 7, 10209, 10279])).
% 3.35/3.54 tff(10283,plain,
% 3.35/3.54 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2750, 10282])).
% 3.35/3.54 tff(10284,plain,
% 3.35/3.54 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[6332, 10283, 10063, 7, 10209, 468, 7835, 10279, 10281])).
% 3.35/3.54 tff(10285,plain,
% 3.35/3.54 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[7428, 10281, 7253, 10269])).
% 3.35/3.54 tff(10286,plain,
% 3.35/3.54 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[450, 10285])).
% 3.35/3.54 tff(10287,plain,
% 3.35/3.54 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[9610, 10286, 10209, 9922, 9073])).
% 3.35/3.54 tff(10288,plain,
% 3.35/3.54 ($false),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[115, 10287, 10284])).
% 3.35/3.54 tff(10289,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.54 tff(10290,plain,
% 3.35/3.54 (~b(s(z), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10289, 468, 7])).
% 3.35/3.54 tff(10291,plain,
% 3.35/3.54 (r(s(z), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[3759, 10290])).
% 3.35/3.54 tff(10292,plain,
% 3.35/3.54 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[4642, 2305, 506, 468])).
% 3.35/3.54 tff(10293,plain,
% 3.35/3.54 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[1871, 10292])).
% 3.35/3.54 tff(10294,plain,
% 3.35/3.54 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[8445, 202, 7, 506])).
% 3.35/3.54 tff(10295,plain,
% 3.35/3.54 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[450, 10294])).
% 3.35/3.54 tff(10296,plain,
% 3.35/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(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(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10297,plain,
% 3.35/3.54 (((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(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(s(z)))))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10298,plain,
% 3.35/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, 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)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))))),
% 3.35/3.54 inference(monotonicity,[status(thm)],[10297])).
% 3.35/3.54 tff(10299,plain,
% 3.35/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, 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)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.35/3.54 inference(transitivity,[status(thm)],[10298, 10296])).
% 3.35/3.54 tff(10300,plain,
% 3.35/3.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(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(s(z))))))))))),
% 3.35/3.54 inference(quant_inst,[status(thm)],[])).
% 3.35/3.54 tff(10301,plain,
% 3.35/3.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.35/3.54 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 3.35/3.54 tff(10302,plain,
% 3.35/3.54 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10301, 76, 10291, 10209, 9073, 10295])).
% 3.35/3.54 tff(10303,plain,
% 3.35/3.54 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[115, 10302])).
% 3.35/3.54 tff(10304,plain,
% 3.35/3.54 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[8091, 10303, 468, 7253])).
% 3.35/3.54 tff(10305,plain,
% 3.35/3.54 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[796, 10304])).
% 3.35/3.54 tff(10306,plain,
% 3.35/3.54 (~b(s(s(s(z))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[3840, 10303, 10063, 2305])).
% 3.35/3.54 tff(10307,plain,
% 3.35/3.54 (r(s(s(s(z))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[535, 10306])).
% 3.35/3.54 tff(10308,plain,
% 3.35/3.54 ($false),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[6303, 10307, 10305, 10209, 10293, 3470])).
% 3.35/3.54 tff(10309,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.54 tff(10310,plain,
% 3.35/3.54 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10309, 10211, 468, 7, 506])).
% 3.35/3.54 tff(10311,plain,
% 3.35/3.54 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[233, 10310])).
% 3.35/3.54 tff(10312,plain,
% 3.35/3.54 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[1960, 10311, 10209, 9073, 10291])).
% 3.35/3.54 tff(10313,plain,
% 3.35/3.54 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[115, 10312])).
% 3.35/3.54 tff(10314,plain,
% 3.35/3.54 (~r(z, s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[6332, 10313, 10063, 7, 10209, 468, 10211, 1028, 506])).
% 3.35/3.54 tff(10315,plain,
% 3.35/3.54 (b(z, s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[370, 10314])).
% 3.35/3.54 tff(10316,plain,
% 3.35/3.54 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[7261, 10315, 7])).
% 3.35/3.54 tff(10317,plain,
% 3.35/3.54 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[450, 10316])).
% 3.35/3.54 tff(10318,plain,
% 3.35/3.54 (~b(s(s(s(z))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[3840, 10313, 10063, 10211])).
% 3.35/3.54 tff(10319,plain,
% 3.35/3.54 (r(s(s(s(z))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[535, 10318])).
% 3.35/3.54 tff(10320,plain,
% 3.35/3.54 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[9966, 10311, 468, 10209, 7, 10291])).
% 3.35/3.54 tff(10321,plain,
% 3.35/3.54 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[796, 10320])).
% 3.35/3.54 tff(10322,plain,
% 3.35/3.54 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[4642, 10211, 506, 468])).
% 3.35/3.54 tff(10323,plain,
% 3.35/3.54 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[1871, 10322])).
% 3.35/3.54 tff(10324,plain,
% 3.35/3.54 (~r(s(s(s(z))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[6303, 10319, 10209, 10323, 10321])).
% 3.35/3.54 tff(10325,plain,
% 3.35/3.54 (b(s(s(s(z))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2303, 10324])).
% 3.35/3.54 tff(10326,plain,
% 3.35/3.54 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[1960, 738, 10209, 6, 2])).
% 3.35/3.54 tff(10327,plain,
% 3.35/3.54 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[115, 10326])).
% 3.35/3.54 tff(10328,plain,
% 3.35/3.54 (~b(s(s(s(z))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[3840, 10327, 10063, 2305])).
% 3.35/3.54 tff(10329,plain,
% 3.35/3.54 (r(s(s(s(z))), s(z))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[535, 10328])).
% 3.35/3.54 tff(10330,plain,
% 3.35/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10331,plain,
% 3.35/3.54 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10332,plain,
% 3.35/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.35/3.54 inference(monotonicity,[status(thm)],[10331])).
% 3.35/3.54 tff(10333,plain,
% 3.35/3.54 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.54 inference(transitivity,[status(thm)],[10332, 10330])).
% 3.35/3.54 tff(10334,plain,
% 3.35/3.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.54 inference(quant_inst,[status(thm)],[])).
% 3.35/3.54 tff(10335,plain,
% 3.35/3.54 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.54 inference(modus_ponens,[status(thm)],[10334, 10333])).
% 3.35/3.54 tff(10336,plain,
% 3.35/3.54 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10335, 76, 117, 706, 10329, 1556])).
% 3.35/3.54 tff(10337,plain,
% 3.35/3.54 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[4243, 10336])).
% 3.35/3.54 tff(10338,plain,
% 3.35/3.54 (~r(s(s(s(z))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[6303, 10329, 10209, 1556, 117])).
% 3.35/3.54 tff(10339,plain,
% 3.35/3.54 (b(s(s(s(z))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2303, 10338])).
% 3.35/3.54 tff(10340,plain,
% 3.35/3.54 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2574, 598, 2, 2892, 706])).
% 3.35/3.54 tff(10341,plain,
% 3.35/3.54 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[627, 10340])).
% 3.35/3.54 tff(10342,plain,
% 3.35/3.54 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[5233, 10341, 5015, 717])).
% 3.35/3.54 tff(10343,plain,
% 3.35/3.54 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[338, 10342])).
% 3.35/3.54 tff(10344,plain,
% 3.35/3.54 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[2251, 10343, 6, 598])).
% 3.35/3.54 tff(10345,plain,
% 3.35/3.54 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[436, 10344])).
% 3.35/3.54 tff(10346,plain,
% 3.35/3.54 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[7190, 76, 706, 1028, 12])).
% 3.35/3.54 tff(10347,plain,
% 3.35/3.54 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[10346, 598])).
% 3.35/3.54 tff(10348,plain,
% 3.35/3.54 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.54 inference(unit_resolution,[status(thm)],[653, 10347])).
% 3.35/3.54 tff(10349,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10350,plain,
% 3.35/3.54 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.54 inference(rewrite,[status(thm)],[])).
% 3.35/3.54 tff(10351,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.35/3.54 inference(monotonicity,[status(thm)],[10350])).
% 3.35/3.54 tff(10352,plain,
% 3.35/3.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.55 inference(transitivity,[status(thm)],[10351, 10349])).
% 3.35/3.55 tff(10353,plain,
% 3.35/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(quant_inst,[status(thm)],[])).
% 3.35/3.55 tff(10354,plain,
% 3.35/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.35/3.55 inference(modus_ponens,[status(thm)],[10353, 10352])).
% 3.35/3.55 tff(10355,plain,
% 3.35/3.55 ($false),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10354, 213, 506, 10348, 7, 10345, 867, 1016])).
% 3.35/3.55 tff(10356,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.55 tff(10357,plain,
% 3.35/3.55 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10356, 598, 7, 9071, 1016, 6, 867, 506, 706, 1028, 12, 2])).
% 3.35/3.55 tff(10358,plain,
% 3.35/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.55 inference(rewrite,[status(thm)],[])).
% 3.35/3.55 tff(10359,plain,
% 3.35/3.55 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.55 inference(rewrite,[status(thm)],[])).
% 3.35/3.55 tff(10360,plain,
% 3.35/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.35/3.55 inference(monotonicity,[status(thm)],[10359])).
% 3.35/3.55 tff(10361,plain,
% 3.35/3.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.55 inference(transitivity,[status(thm)],[10360, 10358])).
% 3.35/3.55 tff(10362,plain,
% 3.35/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.55 inference(quant_inst,[status(thm)],[])).
% 3.35/3.55 tff(10363,plain,
% 3.35/3.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.55 inference(modus_ponens,[status(thm)],[10362, 10361])).
% 3.35/3.55 tff(10364,plain,
% 3.35/3.55 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10363, 76, 6, 15, 706])).
% 3.35/3.55 tff(10365,plain,
% 3.35/3.55 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10364, 598])).
% 3.35/3.55 tff(10366,plain,
% 3.35/3.55 ($false),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[316, 10365, 10357])).
% 3.35/3.55 tff(10367,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.55 tff(10368,plain,
% 3.35/3.55 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10367, 706, 7263, 6, 7, 10339, 10337, 506, 1028, 10329, 2])).
% 3.35/3.55 tff(10369,plain,
% 3.35/3.55 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[484, 10368])).
% 3.35/3.55 tff(10370,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.55 inference(rewrite,[status(thm)],[])).
% 3.35/3.55 tff(10371,plain,
% 3.35/3.55 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.55 inference(rewrite,[status(thm)],[])).
% 3.35/3.55 tff(10372,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.35/3.55 inference(monotonicity,[status(thm)],[10371])).
% 3.35/3.55 tff(10373,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.55 inference(transitivity,[status(thm)],[10372, 10370])).
% 3.35/3.55 tff(10374,plain,
% 3.35/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.55 inference(quant_inst,[status(thm)],[])).
% 3.35/3.55 tff(10375,plain,
% 3.35/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.35/3.55 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 3.35/3.55 tff(10376,plain,
% 3.35/3.55 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10375, 213, 1, 506, 10369, 7253, 10337, 10339])).
% 3.35/3.55 tff(10377,plain,
% 3.35/3.55 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[627, 10376])).
% 3.35/3.55 tff(10378,plain,
% 3.35/3.55 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[5529, 10377, 6, 10209, 738])).
% 3.35/3.55 tff(10379,plain,
% 3.35/3.55 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[338, 10378])).
% 3.35/3.55 tff(10380,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.55 inference(rewrite,[status(thm)],[])).
% 3.35/3.55 tff(10381,plain,
% 3.35/3.55 (((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.55 inference(rewrite,[status(thm)],[])).
% 3.35/3.55 tff(10382,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.35/3.55 inference(monotonicity,[status(thm)],[10381])).
% 3.35/3.55 tff(10383,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.55 inference(transitivity,[status(thm)],[10382, 10380])).
% 3.35/3.55 tff(10384,plain,
% 3.35/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(quant_inst,[status(thm)],[])).
% 3.35/3.55 tff(10385,plain,
% 3.35/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.35/3.55 inference(modus_ponens,[status(thm)],[10384, 10383])).
% 3.35/3.55 tff(10386,plain,
% 3.35/3.55 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10385, 213, 506, 7, 10369, 10337, 10339])).
% 3.35/3.55 tff(10387,plain,
% 3.35/3.55 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[436, 10386])).
% 3.35/3.55 tff(10388,plain,
% 3.35/3.55 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[8734, 10387, 10329, 7263, 1028])).
% 3.35/3.55 tff(10389,plain,
% 3.35/3.55 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[653, 10388])).
% 3.35/3.55 tff(10390,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.55 inference(rewrite,[status(thm)],[])).
% 3.35/3.55 tff(10391,plain,
% 3.35/3.55 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.55 inference(rewrite,[status(thm)],[])).
% 3.35/3.55 tff(10392,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.35/3.55 inference(monotonicity,[status(thm)],[10391])).
% 3.35/3.55 tff(10393,plain,
% 3.35/3.55 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.55 inference(transitivity,[status(thm)],[10392, 10390])).
% 3.35/3.55 tff(10394,plain,
% 3.35/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.55 inference(quant_inst,[status(thm)],[])).
% 3.35/3.55 tff(10395,plain,
% 3.35/3.55 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.55 inference(modus_ponens,[status(thm)],[10394, 10393])).
% 3.35/3.55 tff(10396,plain,
% 3.35/3.55 ($false),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10395, 213, 10389, 10379, 10337, 2305])).
% 3.35/3.55 tff(10397,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.55 tff(10398,plain,
% 3.35/3.55 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10397, 10211, 9073, 10311, 1028, 10315, 506, 7, 10291, 10321, 10323])).
% 3.35/3.55 tff(10399,plain,
% 3.35/3.55 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[610, 10398])).
% 3.35/3.55 tff(10400,plain,
% 3.35/3.55 (~b(s(s(s(z))), s(z))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[3840, 284, 10063, 2305])).
% 3.35/3.55 tff(10401,plain,
% 3.35/3.55 (r(s(s(s(z))), s(z))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[535, 10400])).
% 3.35/3.55 tff(10402,plain,
% 3.35/3.55 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[1295, 831, 7, 467])).
% 3.35/3.55 tff(10403,plain,
% 3.35/3.55 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[819, 10402])).
% 3.35/3.55 tff(10404,plain,
% 3.35/3.55 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[2840, 506, 282, 691, 467])).
% 3.35/3.55 tff(10405,plain,
% 3.35/3.55 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[1042, 10404])).
% 3.35/3.55 tff(10406,plain,
% 3.35/3.55 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[8734, 690, 10405, 15, 12])).
% 3.35/3.55 tff(10407,plain,
% 3.35/3.55 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[436, 10406])).
% 3.35/3.55 tff(10408,plain,
% 3.35/3.55 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10385, 213, 506, 7, 467, 1016])).
% 3.35/3.55 tff(10409,plain,
% 3.35/3.55 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10408, 10407])).
% 3.35/3.55 tff(10410,plain,
% 3.35/3.55 ((s(s(s(z))) = s(s(s(s(s(s(s(s(s(z)))))))))) | r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[853, 110, 10409])).
% 3.35/3.55 tff(10411,plain,
% 3.35/3.55 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[10410, 66])).
% 3.35/3.55 tff(10412,plain,
% 3.35/3.55 ($false),
% 3.35/3.55 inference(unit_resolution,[status(thm)],[2838, 76, 691, 690, 282, 10411])).
% 3.35/3.55 tff(10413,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.56 tff(10414,plain,
% 3.35/3.56 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10413, 10403, 7, 1016, 7263, 506, 10401, 467, 691])).
% 3.35/3.56 tff(10415,plain,
% 3.35/3.56 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[653, 10414])).
% 3.35/3.56 tff(10416,plain,
% 3.35/3.56 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[3216, 10403, 2, 117, 9294])).
% 3.35/3.56 tff(10417,plain,
% 3.35/3.56 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[316, 10416])).
% 3.35/3.56 tff(10418,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.56 inference(rewrite,[status(thm)],[])).
% 3.35/3.56 tff(10419,plain,
% 3.35/3.56 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.56 inference(rewrite,[status(thm)],[])).
% 3.35/3.56 tff(10420,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 3.35/3.56 inference(monotonicity,[status(thm)],[10419])).
% 3.35/3.56 tff(10421,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.56 inference(transitivity,[status(thm)],[10420, 10418])).
% 3.35/3.56 tff(10422,plain,
% 3.35/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.56 inference(quant_inst,[status(thm)],[])).
% 3.35/3.56 tff(10423,plain,
% 3.35/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 3.35/3.56 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 3.35/3.56 tff(10424,plain,
% 3.35/3.56 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10423, 213, 1, 284, 281, 1016, 2305])).
% 3.35/3.56 tff(10425,plain,
% 3.35/3.56 ($false),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10424, 10417, 10415])).
% 3.35/3.56 tff(10426,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.56 tff(10427,plain,
% 3.35/3.56 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10426, 467, 10313, 10399, 10325, 10211, 10291, 10321, 7, 506, 10315, 691])).
% 3.35/3.56 tff(10428,plain,
% 3.35/3.56 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[436, 10427])).
% 3.35/3.56 tff(10429,plain,
% 3.35/3.56 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[8734, 10428, 10319, 10317, 1028])).
% 3.35/3.56 tff(10430,plain,
% 3.35/3.56 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[653, 10429])).
% 3.35/3.56 tff(10431,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.56 inference(rewrite,[status(thm)],[])).
% 3.35/3.56 tff(10432,plain,
% 3.35/3.56 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.56 inference(rewrite,[status(thm)],[])).
% 3.35/3.56 tff(10433,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z)))))))),
% 3.35/3.56 inference(monotonicity,[status(thm)],[10432])).
% 3.35/3.56 tff(10434,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.56 inference(transitivity,[status(thm)],[10433, 10431])).
% 3.35/3.56 tff(10435,plain,
% 3.35/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.35/3.56 inference(quant_inst,[status(thm)],[])).
% 3.35/3.56 tff(10436,plain,
% 3.35/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z)))))),
% 3.35/3.56 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 3.35/3.56 tff(10437,plain,
% 3.35/3.56 ($false),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10436, 213, 10399, 10430, 10063, 468, 467, 7253, 10211])).
% 3.35/3.56 tff(10438,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.56 tff(10439,plain,
% 3.35/3.56 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10438, 506, 1028, 7, 468, 691])).
% 3.35/3.56 tff(10440,plain,
% 3.35/3.56 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[484, 10439])).
% 3.35/3.56 tff(10441,plain,
% 3.35/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.56 inference(rewrite,[status(thm)],[])).
% 3.35/3.56 tff(10442,plain,
% 3.35/3.56 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.56 inference(rewrite,[status(thm)],[])).
% 3.35/3.56 tff(10443,plain,
% 3.35/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.35/3.56 inference(monotonicity,[status(thm)],[10442])).
% 3.35/3.56 tff(10444,plain,
% 3.35/3.56 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.56 inference(transitivity,[status(thm)],[10443, 10441])).
% 3.35/3.56 tff(10445,plain,
% 3.35/3.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.56 inference(quant_inst,[status(thm)],[])).
% 3.35/3.56 tff(10446,plain,
% 3.35/3.56 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.56 inference(modus_ponens,[status(thm)],[10445, 10444])).
% 3.35/3.56 tff(10447,plain,
% 3.35/3.56 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10446, 76, 10311, 1028, 691, 10440])).
% 3.35/3.56 tff(10448,plain,
% 3.35/3.56 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[819, 10447])).
% 3.35/3.56 tff(10449,plain,
% 3.35/3.56 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[9671, 10448, 9071, 10209, 9073, 10311, 10440])).
% 3.35/3.56 tff(10450,plain,
% 3.35/3.56 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[627, 10449])).
% 3.35/3.56 tff(10451,plain,
% 3.35/3.56 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[9681, 10450, 468, 7, 10448])).
% 3.35/3.56 tff(10452,plain,
% 3.35/3.56 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[436, 10451])).
% 3.35/3.56 tff(10453,plain,
% 3.35/3.56 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[8734, 10452, 10319, 10317, 1028])).
% 3.35/3.56 tff(10454,plain,
% 3.35/3.56 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[653, 10453])).
% 3.35/3.56 tff(10455,plain,
% 3.35/3.56 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[2251, 10452, 9073, 10440])).
% 3.35/3.56 tff(10456,plain,
% 3.35/3.56 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[338, 10455])).
% 3.35/3.56 tff(10457,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.56 inference(rewrite,[status(thm)],[])).
% 3.35/3.56 tff(10458,plain,
% 3.35/3.56 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.56 inference(rewrite,[status(thm)],[])).
% 3.35/3.56 tff(10459,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.35/3.56 inference(monotonicity,[status(thm)],[10458])).
% 3.35/3.56 tff(10460,plain,
% 3.35/3.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.56 inference(transitivity,[status(thm)],[10459, 10457])).
% 3.35/3.56 tff(10461,plain,
% 3.35/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.56 inference(quant_inst,[status(thm)],[])).
% 3.35/3.56 tff(10462,plain,
% 3.35/3.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.35/3.56 inference(modus_ponens,[status(thm)],[10461, 10460])).
% 3.35/3.56 tff(10463,plain,
% 3.35/3.56 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10462, 213, 10315, 10313, 10399, 10325, 10211])).
% 3.35/3.56 tff(10464,plain,
% 3.35/3.56 ($false),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10463, 10456, 10454])).
% 3.35/3.56 tff(10465,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.56 tff(10466,plain,
% 3.35/3.56 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10465, 691, 468, 7, 1028])).
% 3.35/3.56 tff(10467,plain,
% 3.35/3.56 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[596, 10466])).
% 3.35/3.56 tff(10468,plain,
% 3.35/3.56 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[2684, 10467, 9073, 1028])).
% 3.35/3.56 tff(10469,plain,
% 3.35/3.56 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[2750, 10468])).
% 3.35/3.56 tff(10470,plain,
% 3.35/3.56 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[3157, 10467, 1028, 691])).
% 3.35/3.56 tff(10471,plain,
% 3.35/3.56 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[233, 10470])).
% 3.35/3.56 tff(10472,plain,
% 3.35/3.56 (~b(z, s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[7279, 213, 7, 7253, 10471])).
% 3.35/3.56 tff(10473,plain,
% 3.35/3.56 (r(z, s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[370, 10472])).
% 3.35/3.56 tff(10474,plain,
% 3.35/3.56 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[3355, 10473, 10209, 10291])).
% 3.35/3.56 tff(10475,plain,
% 3.35/3.56 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[115, 10474])).
% 3.35/3.56 tff(10476,plain,
% 3.35/3.56 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[8091, 10475, 468, 7253])).
% 3.35/3.56 tff(10477,plain,
% 3.35/3.56 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[796, 10476])).
% 3.35/3.56 tff(10478,plain,
% 3.35/3.56 (~b(s(s(s(z))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[3840, 10475, 10063, 10469])).
% 3.35/3.56 tff(10479,plain,
% 3.35/3.56 (r(s(s(s(z))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[535, 10478])).
% 3.35/3.56 tff(10480,plain,
% 3.35/3.56 ($false),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10254, 10479, 10477, 10473, 691, 9073, 10475, 10469, 10467])).
% 3.35/3.56 tff(10481,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.56 tff(10482,plain,
% 3.35/3.56 (~r(z, s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10481, 1028, 7, 468])).
% 3.35/3.56 tff(10483,plain,
% 3.35/3.56 (b(z, s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[581, 10482])).
% 3.35/3.56 tff(10484,plain,
% 3.35/3.56 (~b(s(s(s(z))), z)),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[9574, 10483, 9073, 7])).
% 3.35/3.56 tff(10485,plain,
% 3.35/3.56 (r(s(s(s(z))), z)),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[2303, 10484])).
% 3.35/3.56 tff(10486,plain,
% 3.35/3.56 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[9182, 10485, 9073, 1028, 9071, 10483])).
% 3.35/3.56 tff(10487,plain,
% 3.35/3.56 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[1871, 10486])).
% 3.35/3.56 tff(10488,plain,
% 3.35/3.56 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[6618, 10485, 10209, 9073, 1028])).
% 3.35/3.56 tff(10489,plain,
% 3.35/3.56 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[2750, 10488])).
% 3.35/3.56 tff(10490,plain,
% 3.35/3.56 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[3840, 8, 856, 2305])).
% 3.35/3.56 tff(10491,plain,
% 3.35/3.56 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[115, 10490])).
% 3.35/3.56 tff(10492,plain,
% 3.35/3.56 (~b(z, s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[8680, 8, 856, 1065])).
% 3.35/3.56 tff(10493,plain,
% 3.35/3.56 (r(z, s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[370, 10492])).
% 3.35/3.56 tff(10494,plain,
% 3.35/3.56 ($false),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[3355, 10493, 10491, 155, 2])).
% 3.35/3.56 tff(10495,plain,((~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.56 tff(10496,plain,
% 3.35/3.56 (~b(s(s(s(z))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[10495, 10483, 10291, 10063, 10209, 10489])).
% 3.35/3.56 tff(10497,plain,
% 3.35/3.56 (r(s(s(s(z))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[535, 10496])).
% 3.35/3.56 tff(10498,plain,
% 3.35/3.56 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[6718, 10497, 10291, 10487, 10485])).
% 3.35/3.56 tff(10499,plain,
% 3.35/3.56 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[115, 10498])).
% 3.35/3.56 tff(10500,plain,
% 3.35/3.56 (~r(z, s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[2775, 10497, 10291, 10485])).
% 3.35/3.56 tff(10501,plain,
% 3.35/3.56 (b(z, s(z))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[370, 10500])).
% 3.35/3.56 tff(10502,plain,
% 3.35/3.56 (~r(s(z), s(s(s(s(z)))))),
% 3.35/3.56 inference(unit_resolution,[status(thm)],[6303, 10497, 10209, 10485, 10487])).
% 3.35/3.57 tff(10503,plain,
% 3.35/3.57 (b(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[796, 10502])).
% 3.35/3.57 tff(10504,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[9745, 10503, 10501, 9071, 10499])).
% 3.35/3.57 tff(10505,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10506,plain,
% 3.35/3.57 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10505, 468, 7])).
% 3.35/3.57 tff(10507,plain,
% 3.35/3.57 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1042, 10506])).
% 3.35/3.57 tff(10508,plain,
% 3.35/3.57 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[7305, 10507, 7253, 10063])).
% 3.35/3.57 tff(10509,plain,
% 3.35/3.57 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[596, 10508])).
% 3.35/3.57 tff(10510,plain,
% 3.35/3.57 (~r(z, s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[3355, 16, 10209, 2])).
% 3.35/3.57 tff(10511,plain,
% 3.35/3.57 (b(z, s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[370, 10510])).
% 3.35/3.57 tff(10512,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[7261, 10511, 7])).
% 3.35/3.57 tff(10513,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[450, 10512])).
% 3.35/3.57 tff(10514,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10301, 76, 2, 16, 10209, 6, 10513])).
% 3.35/3.57 tff(10515,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10516,plain,
% 3.35/3.57 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10515, 10291, 9073, 7])).
% 3.35/3.57 tff(10517,plain,
% 3.35/3.57 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[115, 10516])).
% 3.35/3.57 tff(10518,plain,
% 3.35/3.57 (~b(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10227, 10517, 10507, 7, 468])).
% 3.35/3.57 tff(10519,plain,
% 3.35/3.57 (r(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[581, 10518])).
% 3.35/3.57 tff(10520,plain,
% 3.35/3.57 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5352, 10519, 10209, 9073, 10509])).
% 3.35/3.57 tff(10521,plain,
% 3.35/3.57 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2750, 10520])).
% 3.35/3.57 tff(10522,plain,
% 3.35/3.57 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5346, 10521, 468, 10507])).
% 3.35/3.57 tff(10523,plain,
% 3.35/3.57 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1871, 10522])).
% 3.35/3.57 tff(10524,plain,
% 3.35/3.57 (~b(s(s(s(z))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[3840, 10521, 10063, 10517])).
% 3.35/3.57 tff(10525,plain,
% 3.35/3.57 (r(s(s(s(z))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[535, 10524])).
% 3.35/3.57 tff(10526,plain,
% 3.35/3.57 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[8091, 10517, 468, 7253])).
% 3.35/3.57 tff(10527,plain,
% 3.35/3.57 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[796, 10526])).
% 3.35/3.57 tff(10528,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[3829, 76, 10527, 10509, 9073, 10525, 10523])).
% 3.35/3.57 tff(10529,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10530,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10529, 7])).
% 3.35/3.57 tff(10531,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[250, 10530])).
% 3.35/3.57 tff(10532,plain,
% 3.35/3.57 (~b(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[6470, 8, 10063, 3771])).
% 3.35/3.57 tff(10533,plain,
% 3.35/3.57 (r(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[581, 10532])).
% 3.35/3.57 tff(10534,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5584, 1507, 10063, 3771, 8, 7])).
% 3.35/3.57 tff(10535,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[450, 10534])).
% 3.35/3.57 tff(10536,plain,
% 3.35/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.35/3.57 inference(rewrite,[status(thm)],[])).
% 3.35/3.57 tff(10537,plain,
% 3.35/3.57 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.35/3.57 inference(rewrite,[status(thm)],[])).
% 3.35/3.57 tff(10538,plain,
% 3.35/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))))),
% 3.35/3.57 inference(monotonicity,[status(thm)],[10537])).
% 3.35/3.57 tff(10539,plain,
% 3.35/3.57 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.35/3.57 inference(transitivity,[status(thm)],[10538, 10536])).
% 3.35/3.57 tff(10540,plain,
% 3.35/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.35/3.57 inference(quant_inst,[status(thm)],[])).
% 3.35/3.57 tff(10541,plain,
% 3.35/3.57 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 3.35/3.57 inference(modus_ponens,[status(thm)],[10540, 10539])).
% 3.35/3.57 tff(10542,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10541, 76, 7835, 10213, 9922, 10535, 10533])).
% 3.35/3.57 tff(10543,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10544,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10543, 8, 3771, 7])).
% 3.35/3.57 tff(10545,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1042, 10544])).
% 3.35/3.57 tff(10546,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[3157, 10545, 9922, 10533])).
% 3.35/3.57 tff(10547,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[596, 10546])).
% 3.35/3.57 tff(10548,plain,
% 3.35/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.35/3.57 inference(rewrite,[status(thm)],[])).
% 3.35/3.57 tff(10549,plain,
% 3.35/3.57 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.35/3.57 inference(rewrite,[status(thm)],[])).
% 3.35/3.57 tff(10550,plain,
% 3.35/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.35/3.57 inference(monotonicity,[status(thm)],[10549])).
% 3.35/3.57 tff(10551,plain,
% 3.35/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.35/3.57 inference(transitivity,[status(thm)],[10550, 10548])).
% 3.35/3.57 tff(10552,plain,
% 3.35/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 3.35/3.57 inference(quant_inst,[status(thm)],[])).
% 3.35/3.57 tff(10553,plain,
% 3.35/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.35/3.57 inference(modus_ponens,[status(thm)],[10552, 10551])).
% 3.35/3.57 tff(10554,plain,
% 3.35/3.57 (~b(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10553, 213, 3771, 9071, 10547, 203, 8, 7253])).
% 3.35/3.57 tff(10555,plain,
% 3.35/3.57 (r(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2303, 10554])).
% 3.35/3.57 tff(10556,plain,
% 3.35/3.57 (~r(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10153, 10547, 10063, 10531, 8, 7253])).
% 3.35/3.57 tff(10557,plain,
% 3.35/3.57 (b(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[796, 10556])).
% 3.35/3.57 tff(10558,plain,
% 3.35/3.57 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2700, 10557, 10063, 8])).
% 3.35/3.57 tff(10559,plain,
% 3.35/3.57 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2750, 10558])).
% 3.35/3.57 tff(10560,plain,
% 3.35/3.57 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5785, 10557, 9071, 3771])).
% 3.35/3.57 tff(10561,plain,
% 3.35/3.57 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[115, 10560])).
% 3.35/3.57 tff(10562,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[4731, 76, 7835, 10561, 10209, 10559, 10555])).
% 3.35/3.57 tff(10563,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10564,plain,
% 3.35/3.57 (~b(s(s(s(z))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10563, 203, 3771, 7])).
% 3.35/3.57 tff(10565,plain,
% 3.35/3.57 (r(s(s(s(z))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[535, 10564])).
% 3.35/3.57 tff(10566,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[9778, 76, 16, 11, 5, 12])).
% 3.35/3.57 tff(10567,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1871, 10566])).
% 3.35/3.57 tff(10568,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5606, 76, 16, 155, 691, 12, 2410])).
% 3.35/3.57 tff(10569,plain,((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10570,plain,
% 3.35/3.57 (~r(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10569, 2410, 155, 12, 16])).
% 3.35/3.57 tff(10571,plain,
% 3.35/3.57 (b(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[581, 10570])).
% 3.35/3.57 tff(10572,plain,
% 3.35/3.57 (~b(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[6460, 10571, 856, 3771])).
% 3.35/3.57 tff(10573,plain,
% 3.35/3.57 (r(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2303, 10572])).
% 3.35/3.57 tff(10574,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[4731, 76, 350, 16, 155, 2410, 10573])).
% 3.35/3.57 tff(10575,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10576,plain,
% 3.35/3.57 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10575, 16, 350, 155, 856, 3771, 12])).
% 3.35/3.57 tff(10577,plain,
% 3.35/3.57 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2750, 10576])).
% 3.35/3.57 tff(10578,plain,
% 3.35/3.57 (~b(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5307, 10567, 5015, 10577])).
% 3.35/3.57 tff(10579,plain,
% 3.35/3.57 (r(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[581, 10578])).
% 3.35/3.57 tff(10580,plain,
% 3.35/3.57 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[3157, 10579, 738, 11])).
% 3.35/3.57 tff(10581,plain,
% 3.35/3.57 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1042, 10580])).
% 3.35/3.57 tff(10582,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[3274, 213, 10581, 203, 10577, 10567])).
% 3.35/3.57 tff(10583,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10584,plain,
% 3.35/3.57 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10583, 11, 738, 203, 5015, 5, 12, 350, 155, 856, 3771])).
% 3.35/3.57 tff(10585,plain,
% 3.35/3.57 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[115, 10584])).
% 3.35/3.57 tff(10586,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[8061, 10585, 4, 203])).
% 3.35/3.57 tff(10587,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[450, 10586])).
% 3.35/3.57 tff(10588,plain,
% 3.35/3.57 (~r(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[8243, 10587, 738, 12, 11])).
% 3.35/3.57 tff(10589,plain,
% 3.35/3.57 (b(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2303, 10588])).
% 3.35/3.57 tff(10590,plain,
% 3.35/3.57 (~b(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[6460, 10589, 856, 3771])).
% 3.35/3.57 tff(10591,plain,
% 3.35/3.57 (r(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[581, 10590])).
% 3.35/3.57 tff(10592,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10541, 76, 350, 11, 738, 10587, 10591])).
% 3.35/3.57 tff(10593,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10594,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10593, 10565, 9922, 10063, 3771, 7835, 7253, 203, 9071, 10531, 10209])).
% 3.35/3.57 tff(10595,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[596, 10594])).
% 3.35/3.57 tff(10596,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[7305, 10595, 7253, 10063])).
% 3.35/3.57 tff(10597,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1042, 10596])).
% 3.35/3.57 tff(10598,plain,
% 3.35/3.57 (~r(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[6329, 76, 7835, 9922, 10597, 10565])).
% 3.35/3.57 tff(10599,plain,
% 3.35/3.57 (b(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[581, 10598])).
% 3.35/3.57 tff(10600,plain,
% 3.35/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.57 inference(rewrite,[status(thm)],[])).
% 3.35/3.57 tff(10601,plain,
% 3.35/3.57 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.57 inference(rewrite,[status(thm)],[])).
% 3.35/3.57 tff(10602,plain,
% 3.35/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.35/3.57 inference(monotonicity,[status(thm)],[10601])).
% 3.35/3.57 tff(10603,plain,
% 3.35/3.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.57 inference(transitivity,[status(thm)],[10602, 10600])).
% 3.35/3.57 tff(10604,plain,
% 3.35/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.57 inference(quant_inst,[status(thm)],[])).
% 3.35/3.57 tff(10605,plain,
% 3.35/3.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.35/3.57 inference(modus_ponens,[status(thm)],[10604, 10603])).
% 3.35/3.57 tff(10606,plain,
% 3.35/3.57 (~b(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10605, 213, 3771, 9071, 10595, 10063, 203, 7253])).
% 3.35/3.57 tff(10607,plain,
% 3.35/3.57 (r(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2303, 10606])).
% 3.35/3.57 tff(10608,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[9930, 10607, 10209, 7835, 10565])).
% 3.35/3.57 tff(10609,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1871, 10608])).
% 3.35/3.57 tff(10610,plain,
% 3.35/3.57 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5307, 10609, 9071, 10599])).
% 3.35/3.57 tff(10611,plain,
% 3.35/3.57 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2750, 10610])).
% 3.35/3.57 tff(10612,plain,
% 3.35/3.57 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10575, 10611, 7835, 10209, 10063, 3771, 10565])).
% 3.35/3.57 tff(10613,plain,
% 3.35/3.57 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[4959, 10609, 10565, 10531, 10597])).
% 3.35/3.57 tff(10614,plain,
% 3.35/3.57 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[450, 10613])).
% 3.35/3.57 tff(10615,plain,
% 3.35/3.57 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[8061, 10614, 7253, 203])).
% 3.35/3.57 tff(10616,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[115, 10615, 10612])).
% 3.35/3.57 tff(10617,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10618,plain,
% 3.35/3.57 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10617, 3771, 7])).
% 3.35/3.57 tff(10619,plain,
% 3.35/3.57 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[153, 10618])).
% 3.35/3.57 tff(10620,plain,
% 3.35/3.57 (~b(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[6460, 1065, 856, 3771])).
% 3.35/3.57 tff(10621,plain,
% 3.35/3.57 (r(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2303, 10620])).
% 3.35/3.57 tff(10622,plain,
% 3.35/3.57 (~b(s(s(s(z))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[6470, 1065, 856, 3771])).
% 3.35/3.57 tff(10623,plain,
% 3.35/3.57 (r(s(s(s(z))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[535, 10622])).
% 3.35/3.57 tff(10624,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[9930, 10621, 155, 350, 10623])).
% 3.35/3.57 tff(10625,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1871, 10624])).
% 3.35/3.57 tff(10626,plain,
% 3.35/3.57 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5307, 10625, 5015, 1065])).
% 3.35/3.57 tff(10627,plain,
% 3.35/3.57 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2750, 10626])).
% 3.35/3.57 tff(10628,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[4678, 76, 155, 6, 738, 10627, 10621])).
% 3.35/3.57 tff(10629,plain,((~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10630,plain,
% 3.35/3.57 (~b(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10629, 10619, 10209, 9922, 9071, 7835, 10063, 3771])).
% 3.35/3.57 tff(10631,plain,
% 3.35/3.57 (r(z, s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[581, 10630])).
% 3.35/3.57 tff(10632,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[3157, 10545, 9922, 10631])).
% 3.35/3.57 tff(10633,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[596, 10632])).
% 3.35/3.57 tff(10634,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[7428, 10633, 7253, 8])).
% 3.35/3.57 tff(10635,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[450, 10634])).
% 3.35/3.57 tff(10636,plain,
% 3.35/3.57 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[9610, 10635, 10209, 9922, 10619])).
% 3.35/3.57 tff(10637,plain,
% 3.35/3.57 (~r(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10153, 10633, 10063, 10531, 8, 7253])).
% 3.35/3.57 tff(10638,plain,
% 3.35/3.57 (b(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[796, 10637])).
% 3.35/3.57 tff(10639,plain,
% 3.35/3.57 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5785, 10638, 9071, 3771])).
% 3.35/3.57 tff(10640,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[115, 10639, 10636])).
% 3.35/3.57 tff(10641,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10642,plain,
% 3.35/3.57 (~b(s(s(s(z))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10641, 3771, 7])).
% 3.35/3.57 tff(10643,plain,
% 3.35/3.57 (r(s(s(s(z))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[535, 10642])).
% 3.35/3.57 tff(10644,plain,
% 3.35/3.57 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5785, 284, 5015, 3771])).
% 3.35/3.57 tff(10645,plain,
% 3.35/3.57 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[796, 10644])).
% 3.35/3.57 tff(10646,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[9930, 2296, 155, 350, 12])).
% 3.35/3.57 tff(10647,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1871, 10646])).
% 3.35/3.57 tff(10648,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[5352, 2410, 155, 6, 691])).
% 3.35/3.57 tff(10649,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[596, 10648])).
% 3.35/3.57 tff(10650,plain,
% 3.35/3.57 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[6618, 2410, 155, 6, 2296])).
% 3.35/3.57 tff(10651,plain,
% 3.35/3.57 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1042, 10650])).
% 3.35/3.57 tff(10652,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[7305, 10651, 10649, 4, 856])).
% 3.35/3.57 tff(10653,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10654,plain,
% 3.35/3.57 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10653, 2296, 856, 155, 6, 4, 691])).
% 3.35/3.57 tff(10655,plain,
% 3.35/3.57 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2750, 10654])).
% 3.35/3.57 tff(10656,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10254, 10655, 350, 6, 691, 12, 284, 117])).
% 3.35/3.57 tff(10657,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[596, 10656])).
% 3.35/3.57 tff(10658,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[7305, 10657, 4, 856])).
% 3.35/3.57 tff(10659,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1042, 10658])).
% 3.35/3.57 tff(10660,plain,
% 3.35/3.57 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[4959, 10659, 12, 5, 10647])).
% 3.35/3.57 tff(10661,plain,
% 3.35/3.57 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[450, 10660])).
% 3.35/3.57 tff(10662,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10181, 213, 10657, 10661, 856, 4])).
% 3.35/3.57 tff(10663,plain,((~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.57 tff(10664,plain,
% 3.35/3.57 (~r(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10663, 284, 4, 12, 5, 350, 6, 691, 856, 10645, 155])).
% 3.35/3.57 tff(10665,plain,
% 3.35/3.57 (b(s(s(s(z))), z)),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[2303, 10664])).
% 3.35/3.57 tff(10666,plain,
% 3.35/3.57 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[9234, 10665, 5015, 5, 6, 691])).
% 3.35/3.57 tff(10667,plain,
% 3.35/3.57 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[596, 10666])).
% 3.35/3.57 tff(10668,plain,
% 3.35/3.57 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[7305, 10667, 4, 856])).
% 3.35/3.57 tff(10669,plain,
% 3.35/3.57 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[1042, 10668])).
% 3.35/3.57 tff(10670,plain,
% 3.35/3.57 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[4953, 10669, 5, 10645, 12])).
% 3.35/3.57 tff(10671,plain,
% 3.35/3.57 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[450, 10670])).
% 3.35/3.57 tff(10672,plain,
% 3.35/3.57 ($false),
% 3.35/3.57 inference(unit_resolution,[status(thm)],[10181, 213, 10667, 10671, 856, 4])).
% 3.35/3.57 tff(10673,plain,((~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10674,plain,
% 3.35/3.58 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10673, 10643, 7253, 10531, 10063, 9071, 10619, 10631, 7835, 10209, 3771])).
% 3.35/3.58 tff(10675,plain,
% 3.35/3.58 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[115, 10674])).
% 3.35/3.58 tff(10676,plain,
% 3.35/3.58 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[9610, 10675, 10209, 9922, 10619])).
% 3.35/3.58 tff(10677,plain,
% 3.35/3.58 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[450, 10676])).
% 3.35/3.58 tff(10678,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10181, 213, 506, 3, 856, 4])).
% 3.35/3.58 tff(10679,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10680,plain,
% 3.35/3.58 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10679, 10677, 10063, 7253])).
% 3.35/3.58 tff(10681,plain,
% 3.35/3.58 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[596, 10680])).
% 3.35/3.58 tff(10682,plain,
% 3.35/3.58 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2664, 10681, 10531, 10619])).
% 3.35/3.58 tff(10683,plain,
% 3.35/3.58 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1871, 10682])).
% 3.35/3.58 tff(10684,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10575, 10675, 7835, 10209, 10063, 3771, 10643])).
% 3.35/3.58 tff(10685,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2750, 10684])).
% 3.35/3.58 tff(10686,plain,
% 3.35/3.58 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[3157, 10681, 9922, 10631])).
% 3.35/3.58 tff(10687,plain,
% 3.35/3.58 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1042, 10686])).
% 3.35/3.58 tff(10688,plain,
% 3.35/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.58 inference(rewrite,[status(thm)],[])).
% 3.35/3.58 tff(10689,plain,
% 3.35/3.58 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.58 inference(rewrite,[status(thm)],[])).
% 3.35/3.58 tff(10690,plain,
% 3.35/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.35/3.58 inference(monotonicity,[status(thm)],[10689])).
% 3.35/3.58 tff(10691,plain,
% 3.35/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.58 inference(transitivity,[status(thm)],[10690, 10688])).
% 3.35/3.58 tff(10692,plain,
% 3.35/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.58 inference(quant_inst,[status(thm)],[])).
% 3.35/3.58 tff(10693,plain,
% 3.35/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.35/3.58 inference(modus_ponens,[status(thm)],[10692, 10691])).
% 3.35/3.58 tff(10694,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10693, 213, 10687, 10063, 7253, 10685, 10683])).
% 3.35/3.58 tff(10695,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10696,plain,
% 3.35/3.58 (~b(s(z), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10695, 7])).
% 3.35/3.58 tff(10697,plain,
% 3.35/3.58 (r(s(z), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[3759, 10696])).
% 3.35/3.58 tff(10698,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[8515, 213, 1507, 856, 8, 4])).
% 3.35/3.58 tff(10699,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10700,plain,
% 3.35/3.58 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10699, 8, 10063, 7253])).
% 3.35/3.58 tff(10701,plain,
% 3.35/3.58 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1042, 10700])).
% 3.35/3.58 tff(10702,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[3355, 10493, 155, 2])).
% 3.35/3.58 tff(10703,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[115, 10702])).
% 3.35/3.58 tff(10704,plain,
% 3.35/3.58 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10495, 8, 2, 856, 155, 1065])).
% 3.35/3.58 tff(10705,plain,
% 3.35/3.58 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2750, 10704])).
% 3.35/3.58 tff(10706,plain,
% 3.35/3.58 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[7442, 10703, 4, 5, 8])).
% 3.35/3.58 tff(10707,plain,
% 3.35/3.58 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[450, 10706])).
% 3.35/3.58 tff(10708,plain,
% 3.35/3.58 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10699, 8, 856, 4])).
% 3.35/3.58 tff(10709,plain,
% 3.35/3.58 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1042, 10708])).
% 3.35/3.58 tff(10710,plain,
% 3.35/3.58 (~r(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[9109, 10709, 5, 10707, 10705])).
% 3.35/3.58 tff(10711,plain,
% 3.35/3.58 (b(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[796, 10710])).
% 3.35/3.58 tff(10712,plain,
% 3.35/3.58 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2733, 10711, 10703, 8])).
% 3.35/3.58 tff(10713,plain,
% 3.35/3.58 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1871, 10712])).
% 3.35/3.58 tff(10714,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[3011, 76, 5, 10709, 10705, 10713])).
% 3.35/3.58 tff(10715,plain,((~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10716,plain,
% 3.35/3.58 (~b(s(s(s(z))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10715, 1065, 10063, 7253, 10209, 10697, 10531])).
% 3.35/3.58 tff(10717,plain,
% 3.35/3.58 (r(s(s(s(z))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[535, 10716])).
% 3.35/3.58 tff(10718,plain,
% 3.35/3.58 (~b(s(s(s(z))), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[8785, 1, 10063, 1065])).
% 3.35/3.58 tff(10719,plain,
% 3.35/3.58 (r(s(s(s(z))), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2303, 10718])).
% 3.35/3.58 tff(10720,plain,
% 3.35/3.58 (~r(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10091, 10719, 10531, 10697, 10717, 7])).
% 3.35/3.58 tff(10721,plain,
% 3.35/3.58 (b(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[796, 10720])).
% 3.35/3.58 tff(10722,plain,
% 3.35/3.58 (~b(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[9745, 10721, 9071, 1])).
% 3.35/3.58 tff(10723,plain,
% 3.35/3.58 (r(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[115, 10722])).
% 3.35/3.58 tff(10724,plain,
% 3.35/3.58 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[6718, 10723, 10697, 10717, 10719])).
% 3.35/3.58 tff(10725,plain,
% 3.35/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.58 inference(rewrite,[status(thm)],[])).
% 3.35/3.58 tff(10726,plain,
% 3.35/3.58 (((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.58 inference(rewrite,[status(thm)],[])).
% 3.35/3.58 tff(10727,plain,
% 3.35/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.35/3.58 inference(monotonicity,[status(thm)],[10726])).
% 3.35/3.58 tff(10728,plain,
% 3.35/3.58 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.35/3.58 inference(transitivity,[status(thm)],[10727, 10725])).
% 3.35/3.58 tff(10729,plain,
% 3.35/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))),
% 3.35/3.58 inference(quant_inst,[status(thm)],[])).
% 3.35/3.58 tff(10730,plain,
% 3.35/3.58 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.35/3.58 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 3.35/3.58 tff(10731,plain,
% 3.35/3.58 ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10730, 213, 1065, 10063, 7, 7253])).
% 3.35/3.58 tff(10732,plain,
% 3.35/3.58 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10731, 1])).
% 3.35/3.58 tff(10733,plain,
% 3.35/3.58 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[233, 10732])).
% 3.35/3.58 tff(10734,plain,
% 3.35/3.58 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[3133, 10733, 10697, 10717, 10719])).
% 3.35/3.58 tff(10735,plain,
% 3.35/3.58 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[596, 10734])).
% 3.35/3.58 tff(10736,plain,
% 3.35/3.58 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[7305, 10735, 7253, 10063])).
% 3.35/3.58 tff(10737,plain,
% 3.35/3.58 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1042, 10736])).
% 3.35/3.58 tff(10738,plain,
% 3.35/3.58 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[4959, 10737, 10717, 10531, 7263])).
% 3.35/3.58 tff(10739,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1871, 10738, 10724])).
% 3.35/3.58 tff(10740,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10741,plain,
% 3.35/3.58 (~b(z, s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10740, 1065, 7])).
% 3.35/3.58 tff(10742,plain,
% 3.35/3.58 (r(z, s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[370, 10741])).
% 3.35/3.58 tff(10743,plain,
% 3.35/3.58 (~r(s(s(s(z))), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2775, 10742, 10697, 10717])).
% 3.35/3.58 tff(10744,plain,
% 3.35/3.58 (b(s(s(s(z))), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2303, 10743])).
% 3.35/3.58 tff(10745,plain,
% 3.35/3.58 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1515, 10744, 7, 1065])).
% 3.35/3.58 tff(10746,plain,
% 3.35/3.58 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1042, 10745])).
% 3.35/3.58 tff(10747,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[9574, 10744, 1065, 7])).
% 3.35/3.58 tff(10748,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[153, 10747])).
% 3.35/3.58 tff(10749,plain,
% 3.35/3.58 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[9099, 10744, 9071, 1065])).
% 3.35/3.58 tff(10750,plain,
% 3.35/3.58 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2750, 10749])).
% 3.35/3.58 tff(10751,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10017, 10750, 10748, 7253, 10209, 10697, 10717, 10746, 10531])).
% 3.35/3.58 tff(10752,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10753,plain,
% 3.35/3.58 (~b(z, s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10752, 7])).
% 3.35/3.58 tff(10754,plain,
% 3.35/3.58 (r(z, s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[581, 10753])).
% 3.35/3.58 tff(10755,plain,
% 3.35/3.58 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[3157, 11, 10754, 10701])).
% 3.35/3.58 tff(10756,plain,
% 3.35/3.58 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[233, 10755])).
% 3.35/3.58 tff(10757,plain,
% 3.35/3.58 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[6269, 10756, 7, 9071])).
% 3.35/3.58 tff(10758,plain,
% 3.35/3.58 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[153, 10757])).
% 3.35/3.58 tff(10759,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10515, 10758, 10697, 7])).
% 3.35/3.58 tff(10760,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[115, 10759])).
% 3.35/3.58 tff(10761,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[5352, 10758, 10209, 10754, 11])).
% 3.35/3.58 tff(10762,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2750, 10761])).
% 3.35/3.58 tff(10763,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[3840, 10762, 10760, 10063, 8])).
% 3.35/3.58 tff(10764,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10765,plain,
% 3.35/3.58 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10764, 8, 7])).
% 3.35/3.58 tff(10766,plain,
% 3.35/3.58 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[596, 10765])).
% 3.35/3.58 tff(10767,plain,
% 3.35/3.58 (~r(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10153, 10766, 10063, 10531, 8, 7253])).
% 3.35/3.58 tff(10768,plain,
% 3.35/3.58 (b(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[796, 10767])).
% 3.35/3.58 tff(10769,plain,
% 3.35/3.58 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2700, 10768, 10063, 8])).
% 3.35/3.58 tff(10770,plain,
% 3.35/3.58 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2750, 10769])).
% 3.35/3.58 tff(10771,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[5249, 10770, 10209, 10697, 10754])).
% 3.35/3.58 tff(10772,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[115, 10771])).
% 3.35/3.58 tff(10773,plain,
% 3.35/3.58 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2733, 10772, 10768, 8])).
% 3.35/3.58 tff(10774,plain,
% 3.35/3.58 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1871, 10773])).
% 3.35/3.58 tff(10775,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[6612, 76, 10531, 10701, 10770, 10774])).
% 3.35/3.58 tff(10776,plain,((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10777,plain,
% 3.35/3.58 (~b(s(s(s(z))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10776, 7])).
% 3.35/3.58 tff(10778,plain,
% 3.35/3.58 (r(s(s(s(z))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[535, 10777])).
% 3.35/3.58 tff(10779,plain,
% 3.35/3.58 (~r(z, s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[3355, 16, 10209, 10697])).
% 3.35/3.58 tff(10780,plain,
% 3.35/3.58 (b(z, s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[370, 10779])).
% 3.35/3.58 tff(10781,plain,
% 3.35/3.58 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[7261, 10780, 7])).
% 3.35/3.58 tff(10782,plain,
% 3.35/3.58 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[450, 10781])).
% 3.35/3.58 tff(10783,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10569, 16, 10209, 10754, 10778])).
% 3.35/3.58 tff(10784,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2750, 10783])).
% 3.35/3.58 tff(10785,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10515, 16, 10697, 7])).
% 3.35/3.58 tff(10786,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[153, 10785])).
% 3.35/3.58 tff(10787,plain,
% 3.35/3.58 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[9782, 10786, 7253, 10778, 1507, 16, 10213, 10784])).
% 3.35/3.58 tff(10788,plain,
% 3.35/3.58 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[796, 10787])).
% 3.35/3.58 tff(10789,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[461, 10788, 10782, 10531, 16])).
% 3.35/3.58 tff(10790,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10791,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10790, 1507, 7])).
% 3.35/3.58 tff(10792,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[115, 10791])).
% 3.35/3.58 tff(10793,plain,
% 3.35/3.58 (~r(s(s(s(z))), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2775, 350, 10697, 10778])).
% 3.35/3.58 tff(10794,plain,
% 3.35/3.58 (b(s(s(s(z))), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2303, 10793])).
% 3.35/3.58 tff(10795,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[9234, 10794, 9071, 10531, 11, 10754])).
% 3.35/3.58 tff(10796,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[153, 10795])).
% 3.35/3.58 tff(10797,plain,
% 3.35/3.58 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[8061, 10796, 7253, 284])).
% 3.35/3.58 tff(10798,plain,
% 3.35/3.58 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[450, 10797])).
% 3.35/3.58 tff(10799,plain,
% 3.35/3.58 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[6269, 10796, 7, 9071])).
% 3.35/3.58 tff(10800,plain,
% 3.35/3.58 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[233, 10799])).
% 3.35/3.58 tff(10801,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10541, 76, 350, 11, 10800, 10798, 10754])).
% 3.35/3.58 tff(10802,plain,((~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10803,plain,
% 3.35/3.58 (~r(z, s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10802, 10213, 10792, 7])).
% 3.35/3.58 tff(10804,plain,
% 3.35/3.58 (b(z, s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[370, 10803])).
% 3.35/3.58 tff(10805,plain,
% 3.35/3.58 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[9745, 1, 9071, 284])).
% 3.35/3.58 tff(10806,plain,
% 3.35/3.58 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[796, 10805])).
% 3.35/3.58 tff(10807,plain,
% 3.35/3.58 (~r(s(s(s(z))), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10091, 10806, 10531, 10697, 10778, 7])).
% 3.35/3.58 tff(10808,plain,
% 3.35/3.58 (b(s(s(s(z))), z)),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2303, 10807])).
% 3.35/3.58 tff(10809,plain,
% 3.35/3.58 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[5644, 10808, 9071, 2305])).
% 3.35/3.58 tff(10810,plain,
% 3.35/3.58 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[1871, 10809])).
% 3.35/3.58 tff(10811,plain,
% 3.35/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.58 inference(rewrite,[status(thm)],[])).
% 3.35/3.58 tff(10812,plain,
% 3.35/3.58 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.58 inference(rewrite,[status(thm)],[])).
% 3.35/3.58 tff(10813,plain,
% 3.35/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 3.35/3.58 inference(monotonicity,[status(thm)],[10812])).
% 3.35/3.58 tff(10814,plain,
% 3.35/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.35/3.58 inference(transitivity,[status(thm)],[10813, 10811])).
% 3.35/3.58 tff(10815,plain,
% 3.35/3.58 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.58 inference(quant_inst,[status(thm)],[])).
% 3.35/3.58 tff(10816,plain,
% 3.35/3.58 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.35/3.58 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 3.35/3.58 tff(10817,plain,
% 3.35/3.58 ($false),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10816, 76, 10806, 11, 7263, 10778, 10810])).
% 3.35/3.58 tff(10818,plain,((~b(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.58 tff(10819,plain,
% 3.35/3.58 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10818, 10804, 10213, 7, 10792])).
% 3.35/3.58 tff(10820,plain,
% 3.35/3.58 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2750, 10819])).
% 3.35/3.58 tff(10821,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[5352, 10820, 10209, 10754, 10213])).
% 3.35/3.58 tff(10822,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[153, 10821])).
% 3.35/3.58 tff(10823,plain,
% 3.35/3.58 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[6269, 10822, 7, 9071])).
% 3.35/3.58 tff(10824,plain,
% 3.35/3.58 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[233, 10823])).
% 3.35/3.58 tff(10825,plain,
% 3.35/3.58 (~r(z, s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10802, 11, 284, 7])).
% 3.35/3.58 tff(10826,plain,
% 3.35/3.58 (b(z, s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[370, 10825])).
% 3.35/3.58 tff(10827,plain,
% 3.35/3.58 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[10818, 10826, 11, 7, 284])).
% 3.35/3.58 tff(10828,plain,
% 3.35/3.58 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[2750, 10827])).
% 3.35/3.58 tff(10829,plain,
% 3.35/3.58 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[5352, 10828, 10209, 10754, 11])).
% 3.35/3.58 tff(10830,plain,
% 3.35/3.58 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[153, 10829])).
% 3.35/3.58 tff(10831,plain,
% 3.35/3.58 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[7261, 10826, 7])).
% 3.35/3.58 tff(10832,plain,
% 3.35/3.58 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.58 inference(unit_resolution,[status(thm)],[450, 10831])).
% 3.35/3.58 tff(10833,plain,
% 3.35/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.58 inference(rewrite,[status(thm)],[])).
% 3.35/3.58 tff(10834,plain,
% 3.35/3.58 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.58 inference(rewrite,[status(thm)],[])).
% 3.35/3.58 tff(10835,plain,
% 3.35/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.35/3.58 inference(monotonicity,[status(thm)],[10834])).
% 3.35/3.58 tff(10836,plain,
% 3.35/3.58 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.59 inference(transitivity,[status(thm)],[10835, 10833])).
% 3.35/3.59 tff(10837,plain,
% 3.35/3.59 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.59 inference(quant_inst,[status(thm)],[])).
% 3.35/3.59 tff(10838,plain,
% 3.35/3.59 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.59 inference(modus_ponens,[status(thm)],[10837, 10836])).
% 3.35/3.59 tff(10839,plain,
% 3.35/3.59 ($false),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10838, 76, 11, 15, 598, 12, 3645])).
% 3.35/3.59 tff(10840,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.59 tff(10841,plain,
% 3.35/3.59 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10840, 3645, 10832, 10778, 11])).
% 3.35/3.59 tff(10842,plain,
% 3.35/3.59 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[484, 10841])).
% 3.35/3.59 tff(10843,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[9520, 10842, 10830, 284, 7253])).
% 3.35/3.59 tff(10844,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[436, 10843])).
% 3.35/3.59 tff(10845,plain,
% 3.35/3.59 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[8951, 10844, 11, 10778, 3645])).
% 3.35/3.59 tff(10846,plain,
% 3.35/3.59 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[610, 10845])).
% 3.35/3.59 tff(10847,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.59 inference(rewrite,[status(thm)],[])).
% 3.35/3.59 tff(10848,plain,
% 3.35/3.59 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.59 inference(rewrite,[status(thm)],[])).
% 3.35/3.59 tff(10849,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.35/3.59 inference(monotonicity,[status(thm)],[10848])).
% 3.35/3.59 tff(10850,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.59 inference(transitivity,[status(thm)],[10849, 10847])).
% 3.35/3.59 tff(10851,plain,
% 3.35/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.35/3.59 inference(quant_inst,[status(thm)],[])).
% 3.35/3.59 tff(10852,plain,
% 3.35/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.59 inference(modus_ponens,[status(thm)],[10851, 10850])).
% 3.35/3.59 tff(10853,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10852, 213, 10826, 284, 10846, 7, 10830, 10842])).
% 3.35/3.59 tff(10854,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[316, 10853])).
% 3.35/3.59 tff(10855,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.59 inference(rewrite,[status(thm)],[])).
% 3.35/3.59 tff(10856,plain,
% 3.35/3.59 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.59 inference(rewrite,[status(thm)],[])).
% 3.35/3.59 tff(10857,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.35/3.59 inference(monotonicity,[status(thm)],[10856])).
% 3.35/3.59 tff(10858,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.59 inference(transitivity,[status(thm)],[10857, 10855])).
% 3.35/3.59 tff(10859,plain,
% 3.35/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.59 inference(quant_inst,[status(thm)],[])).
% 3.35/3.59 tff(10860,plain,
% 3.35/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.59 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 3.35/3.59 tff(10861,plain,
% 3.35/3.59 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10860, 213, 10826, 284, 10846, 7, 10830, 10842])).
% 3.35/3.59 tff(10862,plain,
% 3.35/3.59 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[338, 10861])).
% 3.35/3.59 tff(10863,plain,
% 3.35/3.59 ($false),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[965, 10862, 10854, 10531, 10844])).
% 3.35/3.59 tff(10864,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.59 tff(10865,plain,
% 3.35/3.59 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10864, 10792, 7, 10213])).
% 3.35/3.59 tff(10866,plain,
% 3.35/3.59 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[4243, 10865])).
% 3.35/3.59 tff(10867,plain,
% 3.35/3.59 (~b(s(z), s(s(s(s(z)))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[9745, 10804, 9071, 10792])).
% 3.35/3.59 tff(10868,plain,
% 3.35/3.59 (r(s(z), s(s(s(s(z)))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[796, 10867])).
% 3.35/3.59 tff(10869,plain,
% 3.35/3.59 (~r(s(s(s(z))), z)),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10091, 10868, 10531, 10697, 10778, 7])).
% 3.35/3.59 tff(10870,plain,
% 3.35/3.59 (b(s(s(s(z))), z)),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[2303, 10869])).
% 3.35/3.59 tff(10871,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.59 inference(rewrite,[status(thm)],[])).
% 3.35/3.59 tff(10872,plain,
% 3.35/3.59 (((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.59 inference(rewrite,[status(thm)],[])).
% 3.35/3.59 tff(10873,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.35/3.59 inference(monotonicity,[status(thm)],[10872])).
% 3.35/3.59 tff(10874,plain,
% 3.35/3.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.59 inference(transitivity,[status(thm)],[10873, 10871])).
% 3.35/3.59 tff(10875,plain,
% 3.35/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.35/3.59 inference(quant_inst,[status(thm)],[])).
% 3.35/3.59 tff(10876,plain,
% 3.35/3.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.35/3.59 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 3.35/3.59 tff(10877,plain,
% 3.35/3.59 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10876, 213, 1507, 868, 7, 10870])).
% 3.35/3.59 tff(10878,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10877, 867])).
% 3.35/3.59 tff(10879,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[436, 10878])).
% 3.35/3.59 tff(10880,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[7205, 867, 10063, 868])).
% 3.35/3.59 tff(10881,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[610, 10880])).
% 3.35/3.59 tff(10882,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[7261, 10804, 7])).
% 3.35/3.59 tff(10883,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[450, 10882])).
% 3.35/3.59 tff(10884,plain,
% 3.35/3.59 ($false),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[9500, 76, 10868, 10883, 10531, 10881, 10879])).
% 3.35/3.59 tff(10885,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.59 tff(10886,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10885, 10866, 1507, 7])).
% 3.35/3.59 tff(10887,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[653, 10886])).
% 3.35/3.59 tff(10888,plain,
% 3.35/3.59 ($false),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[9879, 76, 11, 738, 691, 690, 282])).
% 3.35/3.59 tff(10889,plain,((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.59 tff(10890,plain,
% 3.35/3.59 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10889, 10887, 10824, 10754, 10213])).
% 3.35/3.59 tff(10891,plain,
% 3.35/3.59 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[819, 10890])).
% 3.35/3.59 tff(10892,plain,
% 3.35/3.59 ($false),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[9500, 76, 117, 15, 5, 706, 382])).
% 3.35/3.59 tff(10893,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.59 tff(10894,plain,
% 3.35/3.59 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10893, 382, 7263, 10531, 10806])).
% 3.35/3.59 tff(10895,plain,
% 3.35/3.59 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[610, 10894])).
% 3.35/3.59 tff(10896,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[2820, 467, 7, 747])).
% 3.35/3.59 tff(10897,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[627, 10896])).
% 3.35/3.59 tff(10898,plain,
% 3.35/3.59 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10852, 213, 1, 284, 281, 7, 203])).
% 3.35/3.59 tff(10899,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10898, 467])).
% 3.35/3.59 tff(10900,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[316, 10899])).
% 3.35/3.59 tff(10901,plain,
% 3.35/3.59 ($false),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[6006, 10900, 10897, 10754, 10209, 690])).
% 3.35/3.59 tff(10902,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.59 tff(10903,plain,
% 3.35/3.59 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10902, 10895, 1, 284, 690, 7, 203, 747])).
% 3.35/3.59 tff(10904,plain,
% 3.35/3.59 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[484, 10903])).
% 3.35/3.59 tff(10905,plain,
% 3.35/3.59 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[6556, 76, 10531, 690, 2410])).
% 3.35/3.59 tff(10906,plain,
% 3.35/3.59 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[10905, 10904])).
% 3.35/3.59 tff(10907,plain,
% 3.35/3.59 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[316, 10906])).
% 3.35/3.59 tff(10908,plain,
% 3.35/3.59 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[5489, 10907, 9071, 747])).
% 3.35/3.59 tff(10909,plain,
% 3.35/3.59 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.59 inference(unit_resolution,[status(thm)],[338, 10908])).
% 3.35/3.59 tff(10910,plain,
% 3.35/3.59 (((~![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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.59 inference(rewrite,[status(thm)],[])).
% 3.35/3.59 tff(10911,plain,
% 3.35/3.59 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.59 inference(rewrite,[status(thm)],[])).
% 3.35/3.59 tff(10912,plain,
% 3.35/3.59 (((~![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(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(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(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.35/3.60 inference(monotonicity,[status(thm)],[10911])).
% 3.35/3.60 tff(10913,plain,
% 3.35/3.60 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(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(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.35/3.60 inference(transitivity,[status(thm)],[10912, 10910])).
% 3.35/3.60 tff(10914,plain,
% 3.35/3.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.35/3.60 inference(quant_inst,[status(thm)],[])).
% 3.35/3.60 tff(10915,plain,
% 3.35/3.60 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.35/3.60 inference(modus_ponens,[status(thm)],[10914, 10913])).
% 3.35/3.60 tff(10916,plain,
% 3.35/3.60 ($false),
% 3.35/3.60 inference(unit_resolution,[status(thm)],[10915, 76, 10806, 7263, 10531, 10909, 382])).
% 3.35/3.60 tff(10917,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.35/3.60 tff(10918,plain,
% 3.35/3.60 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.60 inference(unit_resolution,[status(thm)],[10917, 10891, 10887, 10820, 10804, 10792, 7, 10822])).
% 3.35/3.60 tff(10919,plain,
% 3.35/3.60 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.35/3.60 inference(unit_resolution,[status(thm)],[436, 10918])).
% 3.35/3.60 tff(10920,plain,
% 3.35/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.35/3.60 inference(rewrite,[status(thm)],[])).
% 3.35/3.60 tff(10921,plain,
% 3.35/3.60 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.60 inference(rewrite,[status(thm)],[])).
% 3.45/3.60 tff(10922,plain,
% 3.45/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.45/3.60 inference(monotonicity,[status(thm)],[10921])).
% 3.45/3.60 tff(10923,plain,
% 3.45/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.60 inference(transitivity,[status(thm)],[10922, 10920])).
% 3.45/3.60 tff(10924,plain,
% 3.45/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.60 inference(quant_inst,[status(thm)],[])).
% 3.45/3.60 tff(10925,plain,
% 3.45/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.45/3.60 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 3.45/3.60 tff(10926,plain,
% 3.45/3.60 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10925, 213, 9071, 10822, 10919, 10866, 10870, 10891])).
% 3.45/3.60 tff(10927,plain,
% 3.45/3.60 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[1871, 10926])).
% 3.45/3.60 tff(10928,plain,
% 3.45/3.60 ($false),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10816, 76, 10868, 10213, 10883, 10778, 10927])).
% 3.45/3.60 tff(10929,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.60 tff(10930,plain,
% 3.45/3.60 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10929, 7])).
% 3.45/3.60 tff(10931,plain,
% 3.45/3.60 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[1042, 10930])).
% 3.45/3.60 tff(10932,plain,
% 3.45/3.60 (~r(s(s(s(s(z)))), s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[3355, 9191, 10209, 10697])).
% 3.45/3.60 tff(10933,plain,
% 3.45/3.60 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10679, 3, 10063, 7253])).
% 3.45/3.60 tff(10934,plain,
% 3.45/3.60 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[596, 10933])).
% 3.45/3.60 tff(10935,plain,
% 3.45/3.60 (~b(s(s(s(s(z)))), s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10802, 10934, 9191, 7])).
% 3.45/3.60 tff(10936,plain,
% 3.45/3.60 ($false),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[115, 10935, 10932])).
% 3.45/3.60 tff(10937,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.60 tff(10938,plain,
% 3.45/3.60 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10937, 7])).
% 3.45/3.60 tff(10939,plain,
% 3.45/3.60 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[450, 10938])).
% 3.45/3.60 tff(10940,plain,
% 3.45/3.60 (~r(s(z), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[4953, 10939, 10531, 10778, 10931])).
% 3.45/3.60 tff(10941,plain,
% 3.45/3.60 (b(s(z), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[796, 10940])).
% 3.45/3.60 tff(10942,plain,
% 3.45/3.60 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[4959, 10939, 10778, 10531, 10931])).
% 3.45/3.60 tff(10943,plain,
% 3.45/3.60 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[1871, 10942])).
% 3.45/3.60 tff(10944,plain,
% 3.45/3.60 (~r(s(s(s(s(z)))), s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[1564, 10943, 10531, 10939, 10931])).
% 3.45/3.60 tff(10945,plain,
% 3.45/3.60 (b(s(s(s(s(z)))), s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[115, 10944])).
% 3.45/3.60 tff(10946,plain,
% 3.45/3.60 (~b(z, s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[9745, 10945, 9071, 10941])).
% 3.45/3.60 tff(10947,plain,
% 3.45/3.60 (r(z, s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[370, 10946])).
% 3.45/3.60 tff(10948,plain,
% 3.45/3.60 (~r(s(s(s(z))), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[2775, 10947, 10697, 10778])).
% 3.45/3.60 tff(10949,plain,
% 3.45/3.60 (b(s(s(s(z))), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[2303, 10948])).
% 3.45/3.60 tff(10950,plain,
% 3.45/3.60 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[9085, 10949, 10531, 10931, 7])).
% 3.45/3.60 tff(10951,plain,
% 3.45/3.60 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[233, 10950])).
% 3.45/3.60 tff(10952,plain,
% 3.45/3.60 ($false),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[6329, 76, 10947, 10951, 10931, 10754, 10778])).
% 3.45/3.60 tff(10953,plain,(~b(s(s(s(s(s(s(s(z))))))), z)), inference(lemma,lemma(discharge,[]))).
% 3.45/3.60 tff(10954,plain,
% 3.45/3.60 (r(s(s(s(s(s(s(s(z))))))), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[189, 10953])).
% 3.45/3.60 tff(10955,plain,
% 3.45/3.60 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[790, 782, 468, 3])).
% 3.45/3.60 tff(10956,plain,
% 3.45/3.60 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[153, 10955])).
% 3.45/3.60 tff(10957,plain,
% 3.45/3.60 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[2412, 1028, 9, 10956, 16])).
% 3.45/3.60 tff(10958,plain,
% 3.45/3.60 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[2750, 10957])).
% 3.45/3.60 tff(10959,plain,
% 3.45/3.60 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[4642, 10958, 468, 506])).
% 3.45/3.60 tff(10960,plain,
% 3.45/3.60 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[1871, 10959])).
% 3.45/3.60 tff(10961,plain,
% 3.45/3.60 (~b(s(s(s(z))), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[2313, 10958, 191, 1065])).
% 3.45/3.60 tff(10962,plain,
% 3.45/3.60 (r(s(s(s(z))), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[2303, 10961])).
% 3.45/3.60 tff(10963,plain,
% 3.45/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.60 inference(rewrite,[status(thm)],[])).
% 3.45/3.60 tff(10964,plain,
% 3.45/3.60 (((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.60 inference(rewrite,[status(thm)],[])).
% 3.45/3.60 tff(10965,plain,
% 3.45/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.45/3.60 inference(monotonicity,[status(thm)],[10964])).
% 3.45/3.60 tff(10966,plain,
% 3.45/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.60 inference(transitivity,[status(thm)],[10965, 10963])).
% 3.45/3.60 tff(10967,plain,
% 3.45/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.60 inference(quant_inst,[status(thm)],[])).
% 3.45/3.60 tff(10968,plain,
% 3.45/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.45/3.60 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 3.45/3.60 tff(10969,plain,
% 3.45/3.60 ($false),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10968, 213, 5015, 782, 191, 3, 468])).
% 3.45/3.60 tff(10970,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.60 tff(10971,plain,
% 3.45/3.60 (~b(z, s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10970, 782, 468, 191, 3])).
% 3.45/3.60 tff(10972,plain,
% 3.45/3.60 (r(z, s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[5013, 10971])).
% 3.45/3.60 tff(10973,plain,
% 3.45/3.60 ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[2324, 10954])).
% 3.45/3.60 tff(10974,plain,
% 3.45/3.60 (~r(s(z), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10973, 10956, 9, 1027, 506, 16])).
% 3.45/3.60 tff(10975,plain,
% 3.45/3.60 (b(s(z), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[3759, 10974])).
% 3.45/3.60 tff(10976,plain,
% 3.45/3.60 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[1837, 706, 9, 10956, 16])).
% 3.45/3.60 tff(10977,plain,
% 3.45/3.60 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[338, 10976])).
% 3.45/3.60 tff(10978,plain,
% 3.45/3.60 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[4296, 10977, 3, 468, 782])).
% 3.45/3.60 tff(10979,plain,
% 3.45/3.60 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[316, 10978])).
% 3.45/3.60 tff(10980,plain,
% 3.45/3.60 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[4308, 76, 10972, 16, 706, 10979])).
% 3.45/3.60 tff(10981,plain,
% 3.45/3.60 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[627, 10980])).
% 3.45/3.60 tff(10982,plain,
% 3.45/3.60 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[9835, 10979, 1027, 16, 706])).
% 3.45/3.60 tff(10983,plain,
% 3.45/3.60 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[653, 10982])).
% 3.45/3.60 tff(10984,plain,
% 3.45/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.60 inference(rewrite,[status(thm)],[])).
% 3.45/3.60 tff(10985,plain,
% 3.45/3.60 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.60 inference(rewrite,[status(thm)],[])).
% 3.45/3.60 tff(10986,plain,
% 3.45/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.45/3.60 inference(monotonicity,[status(thm)],[10985])).
% 3.45/3.60 tff(10987,plain,
% 3.45/3.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.60 inference(transitivity,[status(thm)],[10986, 10984])).
% 3.45/3.60 tff(10988,plain,
% 3.45/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.60 inference(quant_inst,[status(thm)],[])).
% 3.45/3.60 tff(10989,plain,
% 3.45/3.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.45/3.60 inference(modus_ponens,[status(thm)],[10988, 10987])).
% 3.45/3.60 tff(10990,plain,
% 3.45/3.60 ($false),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10989, 213, 3771, 191, 10983, 10977, 8, 10981, 2305])).
% 3.45/3.60 tff(10991,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.60 tff(10992,plain,
% 3.45/3.60 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[10991, 10958, 191, 8, 10975, 16, 1027, 3, 468, 782, 9])).
% 3.45/3.60 tff(10993,plain,
% 3.45/3.60 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.45/3.60 inference(unit_resolution,[status(thm)],[610, 10992])).
% 3.45/3.60 tff(10994,plain,
% 3.45/3.60 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.60 inference(rewrite,[status(thm)],[])).
% 3.45/3.60 tff(10995,plain,
% 3.45/3.60 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.60 inference(rewrite,[status(thm)],[])).
% 3.45/3.60 tff(10996,plain,
% 3.45/3.60 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.45/3.60 inference(monotonicity,[status(thm)],[10995])).
% 3.45/3.60 tff(10997,plain,
% 3.45/3.60 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))) <=> ((~![X0: $i, X3: $i, X2: $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(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(transitivity,[status(thm)],[10996, 10994])).
% 3.45/3.61 tff(10998,plain,
% 3.45/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)))),
% 3.45/3.61 inference(quant_inst,[status(thm)],[])).
% 3.45/3.61 tff(10999,plain,
% 3.45/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.61 inference(modus_ponens,[status(thm)],[10998, 10997])).
% 3.45/3.61 tff(11000,plain,
% 3.45/3.61 ($false),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[10999, 76, 10, 689, 3645, 2296, 1556])).
% 3.45/3.61 tff(11001,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.61 tff(11002,plain,
% 3.45/3.61 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11001, 3645, 10, 2296, 1556])).
% 3.45/3.61 tff(11003,plain,
% 3.45/3.61 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[338, 11002])).
% 3.45/3.61 tff(11004,plain,
% 3.45/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11005,plain,
% 3.45/3.61 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11006,plain,
% 3.45/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.45/3.61 inference(monotonicity,[status(thm)],[11005])).
% 3.45/3.61 tff(11007,plain,
% 3.45/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(transitivity,[status(thm)],[11006, 11004])).
% 3.45/3.61 tff(11008,plain,
% 3.45/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.45/3.61 inference(quant_inst,[status(thm)],[])).
% 3.45/3.61 tff(11009,plain,
% 3.45/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.61 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 3.45/3.61 tff(11010,plain,
% 3.45/3.61 ((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11009, 213, 3771, 782, 191, 281])).
% 3.45/3.61 tff(11011,plain,
% 3.45/3.61 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11010, 11003])).
% 3.45/3.61 tff(11012,plain,
% 3.45/3.61 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[279, 11011])).
% 3.45/3.61 tff(11013,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11014,plain,
% 3.45/3.61 (((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11015,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.45/3.61 inference(monotonicity,[status(thm)],[11014])).
% 3.45/3.61 tff(11016,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(transitivity,[status(thm)],[11015, 11013])).
% 3.45/3.61 tff(11017,plain,
% 3.45/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(quant_inst,[status(thm)],[])).
% 3.45/3.61 tff(11018,plain,
% 3.45/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.61 inference(modus_ponens,[status(thm)],[11017, 11016])).
% 3.45/3.61 tff(11019,plain,
% 3.45/3.61 ($false),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11018, 76, 1028, 1027, 11012, 9, 3645])).
% 3.45/3.61 tff(11020,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.61 tff(11021,plain,
% 3.45/3.61 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11020, 1028, 1027, 9, 10975, 782, 191, 10993, 10972, 10962, 10960])).
% 3.45/3.61 tff(11022,plain,
% 3.45/3.61 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[4243, 11021])).
% 3.45/3.61 tff(11023,plain,
% 3.45/3.61 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[7172, 868, 1065, 867])).
% 3.45/3.61 tff(11024,plain,
% 3.45/3.61 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[819, 11023])).
% 3.45/3.61 tff(11025,plain,
% 3.45/3.61 ((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[390, 10954])).
% 3.45/3.61 tff(11026,plain,
% 3.45/3.61 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11025, 11024, 382])).
% 3.45/3.61 tff(11027,plain,
% 3.45/3.61 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[627, 11026])).
% 3.45/3.61 tff(11028,plain,
% 3.45/3.61 ($false),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[6942, 213, 1065, 868, 11027, 867])).
% 3.45/3.61 tff(11029,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.61 tff(11030,plain,
% 3.45/3.61 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11029, 382, 867, 1065])).
% 3.45/3.61 tff(11031,plain,
% 3.45/3.61 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[653, 11030])).
% 3.45/3.61 tff(11032,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11033,plain,
% 3.45/3.61 (((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11034,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.45/3.61 inference(monotonicity,[status(thm)],[11033])).
% 3.45/3.61 tff(11035,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.45/3.61 inference(transitivity,[status(thm)],[11034, 11032])).
% 3.45/3.61 tff(11036,plain,
% 3.45/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(quant_inst,[status(thm)],[])).
% 3.45/3.61 tff(11037,plain,
% 3.45/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.45/3.61 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 3.45/3.61 tff(11038,plain,
% 3.45/3.61 ($false),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11037, 76, 10954, 1028, 11031, 382, 2296])).
% 3.45/3.61 tff(11039,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.61 tff(11040,plain,
% 3.45/3.61 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11039, 1028, 10962, 11022, 1065])).
% 3.45/3.61 tff(11041,plain,
% 3.45/3.61 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[436, 11040])).
% 3.45/3.61 tff(11042,plain,
% 3.45/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11043,plain,
% 3.45/3.61 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11044,plain,
% 3.45/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.45/3.61 inference(monotonicity,[status(thm)],[11043])).
% 3.45/3.61 tff(11045,plain,
% 3.45/3.61 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.61 inference(transitivity,[status(thm)],[11044, 11042])).
% 3.45/3.61 tff(11046,plain,
% 3.45/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(quant_inst,[status(thm)],[])).
% 3.45/3.61 tff(11047,plain,
% 3.45/3.61 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.45/3.61 inference(modus_ponens,[status(thm)],[11046, 11045])).
% 3.45/3.61 tff(11048,plain,
% 3.45/3.61 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11047, 213, 506, 10993, 8, 11041, 11022])).
% 3.45/3.61 tff(11049,plain,
% 3.45/3.61 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[484, 11048])).
% 3.45/3.61 tff(11050,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11051,plain,
% 3.45/3.61 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(rewrite,[status(thm)],[])).
% 3.45/3.61 tff(11052,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.61 inference(monotonicity,[status(thm)],[11051])).
% 3.45/3.61 tff(11053,plain,
% 3.45/3.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(transitivity,[status(thm)],[11052, 11050])).
% 3.45/3.61 tff(11054,plain,
% 3.45/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.61 inference(quant_inst,[status(thm)],[])).
% 3.45/3.61 tff(11055,plain,
% 3.45/3.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.61 inference(modus_ponens,[status(thm)],[11054, 11053])).
% 3.45/3.61 tff(11056,plain,
% 3.45/3.61 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[11055, 76, 1028, 1027, 11049, 9])).
% 3.45/3.61 tff(11057,plain,
% 3.45/3.61 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[279, 11056])).
% 3.45/3.61 tff(11058,plain,
% 3.45/3.61 ($false),
% 3.45/3.61 inference(unit_resolution,[status(thm)],[443, 213, 10993, 3, 11057, 11041])).
% 3.45/3.61 tff(11059,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.62 tff(11060,plain,
% 3.45/3.62 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11059, 782, 1027, 9, 506, 8, 1065, 3, 191, 16, 468])).
% 3.45/3.62 tff(11061,plain,
% 3.45/3.62 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[1042, 11060])).
% 3.45/3.62 tff(11062,plain,
% 3.45/3.62 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[2293, 11061, 506, 1065])).
% 3.45/3.62 tff(11063,plain,
% 3.45/3.62 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[233, 11062])).
% 3.45/3.62 tff(11064,plain,
% 3.45/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11065,plain,
% 3.45/3.62 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11066,plain,
% 3.45/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.62 inference(monotonicity,[status(thm)],[11065])).
% 3.45/3.62 tff(11067,plain,
% 3.45/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.62 inference(transitivity,[status(thm)],[11066, 11064])).
% 3.45/3.62 tff(11068,plain,
% 3.45/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))))),
% 3.45/3.62 inference(quant_inst,[status(thm)],[])).
% 3.45/3.62 tff(11069,plain,
% 3.45/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.62 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 3.45/3.62 tff(11070,plain,
% 3.45/3.62 ($false),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11069, 76, 350, 10972, 16, 11063, 9])).
% 3.45/3.62 tff(11071,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.62 tff(11072,plain,
% 3.45/3.62 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11071, 350, 16, 9, 506, 1065, 1027, 8, 3, 191, 468])).
% 3.45/3.62 tff(11073,plain,
% 3.45/3.62 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[796, 11072])).
% 3.45/3.62 tff(11074,plain,
% 3.45/3.62 (~r(z, s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[358, 11073, 16, 350])).
% 3.45/3.62 tff(11075,plain,
% 3.45/3.62 (b(z, s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[5013, 11074])).
% 3.45/3.62 tff(11076,plain,
% 3.45/3.62 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[5418, 11075, 191, 1065])).
% 3.45/3.62 tff(11077,plain,
% 3.45/3.62 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[1871, 11076])).
% 3.45/3.62 tff(11078,plain,
% 3.45/3.62 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[6435, 11077, 9, 1027, 11073])).
% 3.45/3.62 tff(11079,plain,
% 3.45/3.62 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[1042, 11078])).
% 3.45/3.62 tff(11080,plain,
% 3.45/3.62 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[4214, 11079, 468, 506])).
% 3.45/3.62 tff(11081,plain,
% 3.45/3.62 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[2750, 11080])).
% 3.45/3.62 tff(11082,plain,
% 3.45/3.62 ($false),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[5461, 76, 11073, 1027, 11081, 11077])).
% 3.45/3.62 tff(11083,plain,((~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.62 tff(11084,plain,
% 3.45/3.62 (~r(z, s(z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11083, 1065, 468, 506, 9, 191, 1027, 16, 8, 3])).
% 3.45/3.62 tff(11085,plain,
% 3.45/3.62 (b(z, s(z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[370, 11084])).
% 3.45/3.62 tff(11086,plain,
% 3.45/3.62 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[3041, 213, 11085, 191, 506, 3, 468, 8])).
% 3.45/3.62 tff(11087,plain,
% 3.45/3.62 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[1871, 11086])).
% 3.45/3.62 tff(11088,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11089,plain,
% 3.45/3.62 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11090,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.45/3.62 inference(monotonicity,[status(thm)],[11089])).
% 3.45/3.62 tff(11091,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.62 inference(transitivity,[status(thm)],[11090, 11088])).
% 3.45/3.62 tff(11092,plain,
% 3.45/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.62 inference(quant_inst,[status(thm)],[])).
% 3.45/3.62 tff(11093,plain,
% 3.45/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.45/3.62 inference(modus_ponens,[status(thm)],[11092, 11091])).
% 3.45/3.62 tff(11094,plain,
% 3.45/3.62 ($false),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11093, 213, 3771, 1, 506, 3, 8])).
% 3.45/3.62 tff(11095,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.62 tff(11096,plain,
% 3.45/3.62 (~b(s(z), z)),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11095, 11085, 506, 3, 8])).
% 3.45/3.62 tff(11097,plain,
% 3.45/3.62 (r(s(z), z)),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[3759, 11096])).
% 3.45/3.62 tff(11098,plain,
% 3.45/3.62 ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[2283, 10954])).
% 3.45/3.62 tff(11099,plain,
% 3.45/3.62 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11098, 11097, 9])).
% 3.45/3.62 tff(11100,plain,
% 3.45/3.62 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[233, 11099])).
% 3.45/3.62 tff(11101,plain,
% 3.45/3.62 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[2293, 11100, 506, 1065])).
% 3.45/3.62 tff(11102,plain,
% 3.45/3.62 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[1042, 11101])).
% 3.45/3.62 tff(11103,plain,
% 3.45/3.62 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[10973, 11097, 9, 1027, 506, 16])).
% 3.45/3.62 tff(11104,plain,
% 3.45/3.62 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[153, 11103])).
% 3.45/3.62 tff(11105,plain,
% 3.45/3.62 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[790, 11104, 468, 3])).
% 3.45/3.62 tff(11106,plain,
% 3.45/3.62 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[796, 11105])).
% 3.45/3.62 tff(11107,plain,
% 3.45/3.62 ($false),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[6435, 11106, 11102, 9, 1027, 11087])).
% 3.45/3.62 tff(11108,plain,((~b(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.62 tff(11109,plain,
% 3.45/3.62 (~b(z, s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11108, 191, 1027, 468, 3, 506, 16, 8, 9])).
% 3.45/3.62 tff(11110,plain,
% 3.45/3.62 (r(z, s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[581, 11109])).
% 3.45/3.62 tff(11111,plain,
% 3.45/3.62 ((~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[2271, 10954])).
% 3.45/3.62 tff(11112,plain,
% 3.45/3.62 (~r(s(z), z)),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11111, 11110, 1027, 9])).
% 3.45/3.62 tff(11113,plain,
% 3.45/3.62 (b(s(z), z)),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[3759, 11112])).
% 3.45/3.62 tff(11114,plain,
% 3.45/3.62 (~b(z, s(z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11095, 11113, 506, 3, 8])).
% 3.45/3.62 tff(11115,plain,
% 3.45/3.62 (r(z, s(z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[370, 11114])).
% 3.45/3.62 tff(11116,plain,
% 3.45/3.62 (~r(z, s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[7283, 11115, 1027, 16, 11110])).
% 3.45/3.62 tff(11117,plain,
% 3.45/3.62 (b(z, s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[5013, 11116])).
% 3.45/3.62 tff(11118,plain,
% 3.45/3.62 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[10970, 11117, 468, 191, 3])).
% 3.45/3.62 tff(11119,plain,
% 3.45/3.62 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[796, 11118])).
% 3.45/3.62 tff(11120,plain,
% 3.45/3.62 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[9232, 213, 5015, 191, 1016])).
% 3.45/3.62 tff(11121,plain,
% 3.45/3.62 (~b(s(s(s(s(z)))), s(z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[5501, 191, 5015, 3771])).
% 3.45/3.62 tff(11122,plain,
% 3.45/3.62 (r(s(s(s(s(z)))), s(z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[115, 11121])).
% 3.45/3.62 tff(11123,plain,
% 3.45/3.62 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[5598, 76, 117, 11122, 12])).
% 3.45/3.62 tff(11124,plain,
% 3.45/3.62 ($false),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[1871, 11123, 11120])).
% 3.45/3.62 tff(11125,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.62 tff(11126,plain,
% 3.45/3.62 (~r(s(s(s(z))), s(z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11125, 191, 117, 5015, 1016, 3771])).
% 3.45/3.62 tff(11127,plain,
% 3.45/3.62 (b(s(s(s(z))), s(z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[535, 11126])).
% 3.45/3.62 tff(11128,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11129,plain,
% 3.45/3.62 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11130,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.45/3.62 inference(monotonicity,[status(thm)],[11129])).
% 3.45/3.62 tff(11131,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.62 inference(transitivity,[status(thm)],[11130, 11128])).
% 3.45/3.62 tff(11132,plain,
% 3.45/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.62 inference(quant_inst,[status(thm)],[])).
% 3.45/3.62 tff(11133,plain,
% 3.45/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.45/3.62 inference(modus_ponens,[status(thm)],[11132, 11131])).
% 3.45/3.62 tff(11134,plain,
% 3.45/3.62 ($false),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11133, 213, 3771, 5015, 191, 11127, 1016])).
% 3.45/3.62 tff(11135,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.62 tff(11136,plain,
% 3.45/3.62 (~b(s(s(s(z))), z)),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11135, 11119, 191, 11113, 11117])).
% 3.45/3.62 tff(11137,plain,
% 3.45/3.62 (r(s(s(s(z))), z)),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[2303, 11136])).
% 3.45/3.62 tff(11138,plain,
% 3.45/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11139,plain,
% 3.45/3.62 (((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11140,plain,
% 3.45/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.45/3.62 inference(monotonicity,[status(thm)],[11139])).
% 3.45/3.62 tff(11141,plain,
% 3.45/3.62 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.62 inference(transitivity,[status(thm)],[11140, 11138])).
% 3.45/3.62 tff(11142,plain,
% 3.45/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.45/3.62 inference(quant_inst,[status(thm)],[])).
% 3.45/3.62 tff(11143,plain,
% 3.45/3.62 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.45/3.62 inference(modus_ponens,[status(thm)],[11142, 11141])).
% 3.45/3.62 tff(11144,plain,
% 3.45/3.62 ($false),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11143, 76, 14, 1028, 691, 2296])).
% 3.45/3.62 tff(11145,plain,((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.62 tff(11146,plain,
% 3.45/3.62 ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), z))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11145, 10954])).
% 3.45/3.62 tff(11147,plain,
% 3.45/3.62 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11146, 11137, 11110])).
% 3.45/3.62 tff(11148,plain,
% 3.45/3.62 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[1042, 11147])).
% 3.45/3.62 tff(11149,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11150,plain,
% 3.45/3.62 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.62 inference(rewrite,[status(thm)],[])).
% 3.45/3.62 tff(11151,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.45/3.62 inference(monotonicity,[status(thm)],[11150])).
% 3.45/3.62 tff(11152,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.62 inference(transitivity,[status(thm)],[11151, 11149])).
% 3.45/3.62 tff(11153,plain,
% 3.45/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.62 inference(quant_inst,[status(thm)],[])).
% 3.45/3.62 tff(11154,plain,
% 3.45/3.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.45/3.62 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 3.45/3.62 tff(11155,plain,
% 3.45/3.62 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[11154, 213, 11117, 191, 468])).
% 3.45/3.62 tff(11156,plain,
% 3.45/3.62 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.62 inference(unit_resolution,[status(thm)],[233, 11155])).
% 3.45/3.62 tff(11157,plain,
% 3.45/3.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11158,plain,
% 3.45/3.63 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11159,plain,
% 3.45/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.45/3.63 inference(monotonicity,[status(thm)],[11158])).
% 3.45/3.63 tff(11160,plain,
% 3.45/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.45/3.63 inference(transitivity,[status(thm)],[11159, 11157])).
% 3.45/3.63 tff(11161,plain,
% 3.45/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.45/3.63 inference(quant_inst,[status(thm)],[])).
% 3.45/3.63 tff(11162,plain,
% 3.45/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.45/3.63 inference(modus_ponens,[status(thm)],[11161, 11160])).
% 3.45/3.63 tff(11163,plain,
% 3.45/3.63 ($false),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11162, 213, 3771, 5015, 191, 281, 2812])).
% 3.45/3.63 tff(11164,plain,((~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.63 tff(11165,plain,
% 3.45/3.63 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11164, 281, 191, 5015, 3771])).
% 3.45/3.63 tff(11166,plain,
% 3.45/3.63 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[627, 11165])).
% 3.45/3.63 tff(11167,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11168,plain,
% 3.45/3.63 (((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11169,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.45/3.63 inference(monotonicity,[status(thm)],[11168])).
% 3.45/3.63 tff(11170,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.63 inference(transitivity,[status(thm)],[11169, 11167])).
% 3.45/3.63 tff(11171,plain,
% 3.45/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(quant_inst,[status(thm)],[])).
% 3.45/3.63 tff(11172,plain,
% 3.45/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.45/3.63 inference(modus_ponens,[status(thm)],[11171, 11170])).
% 3.45/3.63 tff(11173,plain,
% 3.45/3.63 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11172, 76, 10954, 691, 690, 13])).
% 3.45/3.63 tff(11174,plain,
% 3.45/3.63 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[484, 11173])).
% 3.45/3.63 tff(11175,plain,
% 3.45/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11176,plain,
% 3.45/3.63 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11177,plain,
% 3.45/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.45/3.63 inference(monotonicity,[status(thm)],[11176])).
% 3.45/3.63 tff(11178,plain,
% 3.45/3.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.63 inference(transitivity,[status(thm)],[11177, 11175])).
% 3.45/3.63 tff(11179,plain,
% 3.45/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.63 inference(quant_inst,[status(thm)],[])).
% 3.45/3.63 tff(11180,plain,
% 3.45/3.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.45/3.63 inference(modus_ponens,[status(thm)],[11179, 11178])).
% 3.45/3.63 tff(11181,plain,
% 3.45/3.63 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11180, 213, 506, 281, 1507, 8])).
% 3.45/3.63 tff(11182,plain,
% 3.45/3.63 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11181, 11174])).
% 3.45/3.63 tff(11183,plain,
% 3.45/3.63 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[4243, 11182])).
% 3.45/3.63 tff(11184,plain,
% 3.45/3.63 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[5148, 11174, 3, 281])).
% 3.45/3.63 tff(11185,plain,
% 3.45/3.63 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[279, 11184])).
% 3.45/3.63 tff(11186,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11187,plain,
% 3.45/3.63 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11188,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.45/3.63 inference(monotonicity,[status(thm)],[11187])).
% 3.45/3.63 tff(11189,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.63 inference(transitivity,[status(thm)],[11188, 11186])).
% 3.45/3.63 tff(11190,plain,
% 3.45/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))),
% 3.45/3.63 inference(quant_inst,[status(thm)],[])).
% 3.45/3.63 tff(11191,plain,
% 3.45/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.63 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 3.45/3.63 tff(11192,plain,
% 3.45/3.63 ($false),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11191, 76, 690, 1027, 11185, 11183])).
% 3.45/3.63 tff(11193,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.63 tff(11194,plain,
% 3.45/3.63 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11193, 281, 506, 1027, 1507, 8, 3, 691, 11166])).
% 3.45/3.63 tff(11195,plain,
% 3.45/3.63 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[653, 11194])).
% 3.45/3.63 tff(11196,plain,
% 3.45/3.63 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[1626, 11195, 506, 1507])).
% 3.45/3.63 tff(11197,plain,
% 3.45/3.63 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[484, 11196])).
% 3.45/3.63 tff(11198,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11199,plain,
% 3.45/3.63 (((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(rewrite,[status(thm)],[])).
% 3.45/3.63 tff(11200,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.63 inference(monotonicity,[status(thm)],[11199])).
% 3.45/3.63 tff(11201,plain,
% 3.45/3.63 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(transitivity,[status(thm)],[11200, 11198])).
% 3.45/3.63 tff(11202,plain,
% 3.45/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(quant_inst,[status(thm)],[])).
% 3.45/3.63 tff(11203,plain,
% 3.45/3.63 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.63 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 3.45/3.63 tff(11204,plain,
% 3.45/3.63 ($false),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11203, 76, 738, 10954, 11197, 11166])).
% 3.45/3.63 tff(11205,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.63 tff(11206,plain,
% 3.45/3.63 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11205, 11156, 506, 11148, 1027, 8, 3, 11110, 191, 11117, 11113])).
% 3.45/3.63 tff(11207,plain,
% 3.45/3.63 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[610, 11206])).
% 3.45/3.63 tff(11208,plain,
% 3.45/3.63 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[9476, 191, 5015, 747])).
% 3.45/3.63 tff(11209,plain,
% 3.45/3.63 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[316, 11208])).
% 3.45/3.63 tff(11210,plain,
% 3.45/3.63 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[5440, 191, 5015, 3771])).
% 3.45/3.63 tff(11211,plain,
% 3.45/3.63 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[796, 11210])).
% 3.45/3.63 tff(11212,plain,
% 3.45/3.63 ($false),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[714, 11211, 11209, 706, 16])).
% 3.45/3.63 tff(11213,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.63 tff(11214,plain,
% 3.45/3.63 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11213, 11207, 191, 11117, 11113, 16])).
% 3.45/3.63 tff(11215,plain,
% 3.45/3.63 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[819, 11214])).
% 3.45/3.63 tff(11216,plain,
% 3.45/3.63 ($false),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[5213, 76, 11115, 11207, 11110, 1027, 11215])).
% 3.45/3.63 tff(11217,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.63 tff(11218,plain,
% 3.45/3.63 (~b(s(s(s(s(z)))), z)),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11217, 1027, 16, 506, 8, 3, 468, 9])).
% 3.45/3.63 tff(11219,plain,
% 3.45/3.63 (r(s(s(s(s(z)))), z)),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[170, 11218])).
% 3.45/3.63 tff(11220,plain,
% 3.45/3.63 ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[1970, 10954])).
% 3.45/3.63 tff(11221,plain,
% 3.45/3.63 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[11220, 11219, 9, 16])).
% 3.45/3.63 tff(11222,plain,
% 3.45/3.63 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[153, 11221])).
% 3.45/3.63 tff(11223,plain,
% 3.45/3.63 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[3622, 11222, 468, 506])).
% 3.45/3.63 tff(11224,plain,
% 3.45/3.63 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[1871, 11223])).
% 3.45/3.63 tff(11225,plain,
% 3.45/3.63 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[790, 11222, 468, 3])).
% 3.45/3.63 tff(11226,plain,
% 3.45/3.63 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[796, 11225])).
% 3.45/3.63 tff(11227,plain,
% 3.45/3.63 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[6435, 11224, 9, 1027, 11226])).
% 3.45/3.63 tff(11228,plain,
% 3.45/3.63 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[1042, 11227])).
% 3.45/3.63 tff(11229,plain,
% 3.45/3.63 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[4214, 11228, 468, 506])).
% 3.45/3.63 tff(11230,plain,
% 3.45/3.63 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[2750, 11229])).
% 3.45/3.63 tff(11231,plain,
% 3.45/3.63 ($false),
% 3.45/3.63 inference(unit_resolution,[status(thm)],[5461, 76, 11226, 1027, 11230, 11224])).
% 3.45/3.64 tff(11232,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.64 tff(11233,plain,
% 3.45/3.64 (~r(s(z), s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11232, 8, 506, 9, 3, 16, 468])).
% 3.45/3.64 tff(11234,plain,
% 3.45/3.64 (b(s(z), s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[564, 11233])).
% 3.45/3.64 tff(11235,plain,
% 3.45/3.64 ($false),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[3571, 213, 506, 3, 11234, 8])).
% 3.45/3.64 tff(11236,plain,((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.64 tff(11237,plain,
% 3.45/3.64 (~b(s(s(s(z))), s(z))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11236, 506, 3, 9, 16, 468])).
% 3.45/3.64 tff(11238,plain,
% 3.45/3.64 (r(s(s(s(z))), s(z))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[535, 11237])).
% 3.45/3.64 tff(11239,plain,
% 3.45/3.64 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[3622, 2350, 468, 506])).
% 3.45/3.64 tff(11240,plain,
% 3.45/3.64 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[153, 11239])).
% 3.45/3.64 tff(11241,plain,
% 3.45/3.64 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[4642, 2350, 468, 506])).
% 3.45/3.64 tff(11242,plain,
% 3.45/3.64 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2750, 11241])).
% 3.45/3.64 tff(11243,plain,
% 3.45/3.64 ($false),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2412, 11242, 11240, 9, 1028, 16])).
% 3.45/3.64 tff(11244,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.64 tff(11245,plain,
% 3.45/3.64 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11244, 1028, 9, 16, 468, 506])).
% 3.45/3.64 tff(11246,plain,
% 3.45/3.64 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[1871, 11245])).
% 3.45/3.64 tff(11247,plain,
% 3.45/3.64 ($false),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[5598, 76, 117, 16, 12, 1556])).
% 3.45/3.64 tff(11248,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.64 tff(11249,plain,
% 3.45/3.64 (~r(s(z), s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11248, 11246, 11238, 16])).
% 3.45/3.64 tff(11250,plain,
% 3.45/3.64 (b(s(z), s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[796, 11249])).
% 3.45/3.64 tff(11251,plain,
% 3.45/3.64 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[790, 11250, 468, 3])).
% 3.45/3.64 tff(11252,plain,
% 3.45/3.64 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[153, 11251])).
% 3.45/3.64 tff(11253,plain,
% 3.45/3.64 (~r(s(s(s(s(z)))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11220, 11252, 9, 16])).
% 3.45/3.64 tff(11254,plain,
% 3.45/3.64 (b(s(s(s(s(z)))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[170, 11253])).
% 3.45/3.64 tff(11255,plain,
% 3.45/3.64 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2412, 11252, 9, 1028, 16])).
% 3.45/3.64 tff(11256,plain,
% 3.45/3.64 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2750, 11255])).
% 3.45/3.64 tff(11257,plain,
% 3.45/3.64 (~b(z, s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[10970, 11254, 468, 11250, 3])).
% 3.45/3.64 tff(11258,plain,
% 3.45/3.64 (r(z, s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[5013, 11257])).
% 3.45/3.64 tff(11259,plain,
% 3.45/3.64 (~r(s(s(s(z))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[4278, 11258, 11238, 16, 11246])).
% 3.45/3.64 tff(11260,plain,
% 3.45/3.64 (b(s(s(s(z))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2303, 11259])).
% 3.45/3.64 tff(11261,plain,
% 3.45/3.64 (~b(z, s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2313, 11260, 11254, 11256])).
% 3.45/3.64 tff(11262,plain,
% 3.45/3.64 (r(z, s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[581, 11261])).
% 3.45/3.64 tff(11263,plain,
% 3.45/3.64 ($false),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2427, 76, 350, 10, 16, 691, 1556])).
% 3.45/3.64 tff(11264,plain,((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.64 tff(11265,plain,
% 3.45/3.64 (~r(z, s(z))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11264, 11258, 16, 11262, 11246])).
% 3.45/3.64 tff(11266,plain,
% 3.45/3.64 (b(z, s(z))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[370, 11265])).
% 3.45/3.64 tff(11267,plain,
% 3.45/3.64 (~r(s(z), s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11248, 1556, 11238, 16])).
% 3.45/3.64 tff(11268,plain,
% 3.45/3.64 (b(s(z), s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[796, 11267])).
% 3.45/3.64 tff(11269,plain,
% 3.45/3.64 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[790, 11268, 468, 3])).
% 3.45/3.64 tff(11270,plain,
% 3.45/3.64 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[153, 11269])).
% 3.45/3.64 tff(11271,plain,
% 3.45/3.64 (~r(s(s(s(s(z)))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11220, 11270, 9, 16])).
% 3.45/3.64 tff(11272,plain,
% 3.45/3.64 (b(s(s(s(s(z)))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[170, 11271])).
% 3.45/3.64 tff(11273,plain,
% 3.45/3.64 (~b(z, s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[10970, 11272, 468, 11268, 3])).
% 3.45/3.64 tff(11274,plain,
% 3.45/3.64 (r(z, s(s(s(s(z)))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[5013, 11273])).
% 3.45/3.64 tff(11275,plain,
% 3.45/3.64 (~r(s(s(s(z))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[4278, 11274, 11238, 16, 1556])).
% 3.45/3.64 tff(11276,plain,
% 3.45/3.64 (b(s(s(s(z))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2303, 11275])).
% 3.45/3.64 tff(11277,plain,
% 3.45/3.64 (~b(s(z), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[3821, 1, 11276, 856])).
% 3.45/3.64 tff(11278,plain,
% 3.45/3.64 (r(s(z), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[3759, 11277])).
% 3.45/3.64 tff(11279,plain,
% 3.45/3.64 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2405, 10954])).
% 3.45/3.64 tff(11280,plain,
% 3.45/3.64 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11279, 11278, 11270, 9, 11274])).
% 3.45/3.64 tff(11281,plain,
% 3.45/3.64 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[627, 11280])).
% 3.45/3.64 tff(11282,plain,
% 3.45/3.64 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[6695, 76, 16, 706, 10979, 1556])).
% 3.45/3.64 tff(11283,plain,
% 3.45/3.64 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[653, 11282])).
% 3.45/3.64 tff(11284,plain,
% 3.45/3.64 (~r(s(s(s(s(z)))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11220, 10956, 9, 16])).
% 3.45/3.64 tff(11285,plain,
% 3.45/3.64 (b(s(s(s(s(z)))), z)),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[170, 11284])).
% 3.45/3.64 tff(11286,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.45/3.64 inference(rewrite,[status(thm)],[])).
% 3.45/3.64 tff(11287,plain,
% 3.45/3.64 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.45/3.64 inference(rewrite,[status(thm)],[])).
% 3.45/3.64 tff(11288,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.45/3.64 inference(monotonicity,[status(thm)],[11287])).
% 3.45/3.64 tff(11289,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.45/3.64 inference(transitivity,[status(thm)],[11288, 11286])).
% 3.45/3.64 tff(11290,plain,
% 3.45/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.45/3.64 inference(quant_inst,[status(thm)],[])).
% 3.45/3.64 tff(11291,plain,
% 3.45/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.45/3.64 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 3.45/3.64 tff(11292,plain,
% 3.45/3.64 ($false),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11291, 213, 1, 11285, 11283, 856, 10977, 2812, 2305])).
% 3.45/3.64 tff(11293,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.64 tff(11294,plain,
% 3.45/3.64 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11293, 1, 856, 11281, 2305, 16, 1556, 3, 468, 11268, 9])).
% 3.45/3.64 tff(11295,plain,
% 3.45/3.64 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[610, 11294])).
% 3.45/3.64 tff(11296,plain,
% 3.45/3.64 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2528, 10954])).
% 3.45/3.64 tff(11297,plain,
% 3.45/3.64 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11296, 598, 2, 9])).
% 3.45/3.64 tff(11298,plain,
% 3.45/3.64 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[279, 11297])).
% 3.45/3.64 tff(11299,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.45/3.64 inference(rewrite,[status(thm)],[])).
% 3.45/3.64 tff(11300,plain,
% 3.45/3.64 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.45/3.64 inference(rewrite,[status(thm)],[])).
% 3.45/3.64 tff(11301,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.45/3.64 inference(monotonicity,[status(thm)],[11300])).
% 3.45/3.64 tff(11302,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.45/3.64 inference(transitivity,[status(thm)],[11301, 11299])).
% 3.45/3.64 tff(11303,plain,
% 3.45/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.64 inference(quant_inst,[status(thm)],[])).
% 3.45/3.64 tff(11304,plain,
% 3.45/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.45/3.64 inference(modus_ponens,[status(thm)],[11303, 11302])).
% 3.45/3.64 tff(11305,plain,
% 3.45/3.64 ((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11304, 213, 782, 281, 3, 468])).
% 3.45/3.64 tff(11306,plain,
% 3.45/3.64 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11305, 11298])).
% 3.45/3.64 tff(11307,plain,
% 3.45/3.64 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[436, 11306])).
% 3.45/3.64 tff(11308,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.45/3.64 inference(rewrite,[status(thm)],[])).
% 3.45/3.64 tff(11309,plain,
% 3.45/3.64 (((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.45/3.64 inference(rewrite,[status(thm)],[])).
% 3.45/3.64 tff(11310,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.45/3.64 inference(monotonicity,[status(thm)],[11309])).
% 3.45/3.64 tff(11311,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.45/3.64 inference(transitivity,[status(thm)],[11310, 11308])).
% 3.45/3.64 tff(11312,plain,
% 3.45/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.45/3.64 inference(quant_inst,[status(thm)],[])).
% 3.45/3.64 tff(11313,plain,
% 3.45/3.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.45/3.64 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 3.45/3.64 tff(11314,plain,
% 3.45/3.64 ((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11313, 213, 782, 281, 856, 2305])).
% 3.45/3.64 tff(11315,plain,
% 3.45/3.64 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11314, 11298])).
% 3.45/3.64 tff(11316,plain,
% 3.45/3.64 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[338, 11315])).
% 3.45/3.64 tff(11317,plain,
% 3.45/3.64 ($false),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[2251, 11316, 11307, 10956, 598])).
% 3.45/3.64 tff(11318,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.64 tff(11319,plain,
% 3.45/3.64 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[11318, 11295, 11268, 856, 2305, 3, 468, 11278, 9])).
% 3.45/3.64 tff(11320,plain,
% 3.45/3.64 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.64 inference(unit_resolution,[status(thm)],[484, 11319])).
% 3.45/3.64 tff(11321,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.64 inference(rewrite,[status(thm)],[])).
% 3.45/3.64 tff(11322,plain,
% 3.45/3.64 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.64 inference(rewrite,[status(thm)],[])).
% 3.45/3.64 tff(11323,plain,
% 3.45/3.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.45/3.65 inference(monotonicity,[status(thm)],[11322])).
% 3.45/3.65 tff(11324,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.65 inference(transitivity,[status(thm)],[11323, 11321])).
% 3.45/3.65 tff(11325,plain,
% 3.45/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.45/3.65 inference(quant_inst,[status(thm)],[])).
% 3.45/3.65 tff(11326,plain,
% 3.45/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.45/3.65 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 3.45/3.65 tff(11327,plain,
% 3.45/3.65 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11326, 213, 11272, 506, 468, 11281, 11276])).
% 3.45/3.65 tff(11328,plain,
% 3.45/3.65 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11327, 11320])).
% 3.45/3.65 tff(11329,plain,
% 3.45/3.65 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[4243, 11328])).
% 3.45/3.65 tff(11330,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11331,plain,
% 3.45/3.65 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11332,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.45/3.65 inference(monotonicity,[status(thm)],[11331])).
% 3.45/3.65 tff(11333,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.45/3.65 inference(transitivity,[status(thm)],[11332, 11330])).
% 3.45/3.65 tff(11334,plain,
% 3.45/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.65 inference(quant_inst,[status(thm)],[])).
% 3.45/3.65 tff(11335,plain,
% 3.45/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.45/3.65 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 3.45/3.65 tff(11336,plain,
% 3.45/3.65 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11335, 213, 1, 11272, 11295, 3, 468])).
% 3.45/3.65 tff(11337,plain,
% 3.45/3.65 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11336, 11320])).
% 3.45/3.65 tff(11338,plain,
% 3.45/3.65 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[316, 11337])).
% 3.45/3.65 tff(11339,plain,
% 3.45/3.65 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[5148, 11320, 3, 11295])).
% 3.45/3.65 tff(11340,plain,
% 3.45/3.65 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[279, 11339])).
% 3.45/3.65 tff(11341,plain,
% 3.45/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11342,plain,
% 3.45/3.65 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11343,plain,
% 3.45/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.45/3.65 inference(monotonicity,[status(thm)],[11342])).
% 3.45/3.65 tff(11344,plain,
% 3.45/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.45/3.65 inference(transitivity,[status(thm)],[11343, 11341])).
% 3.45/3.65 tff(11345,plain,
% 3.45/3.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.45/3.65 inference(quant_inst,[status(thm)],[])).
% 3.45/3.65 tff(11346,plain,
% 3.45/3.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.45/3.65 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 3.45/3.65 tff(11347,plain,
% 3.45/3.65 ($false),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11346, 76, 11340, 11338, 11238, 11329, 1556])).
% 3.45/3.65 tff(11348,plain,((~b(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.65 tff(11349,plain,
% 3.45/3.65 (~b(s(z), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11348, 11266, 3, 468, 506, 11246, 11256, 9, 16])).
% 3.45/3.65 tff(11350,plain,
% 3.45/3.65 (r(s(z), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[564, 11349])).
% 3.45/3.65 tff(11351,plain,
% 3.45/3.65 (~r(s(z), z)),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[10973, 11350, 9, 11252, 506, 16])).
% 3.45/3.65 tff(11352,plain,
% 3.45/3.65 (b(s(z), z)),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[3759, 11351])).
% 3.45/3.65 tff(11353,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11354,plain,
% 3.45/3.65 (((~b(s(z), 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(z), z)) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11355,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))))),
% 3.45/3.65 inference(monotonicity,[status(thm)],[11354])).
% 3.45/3.65 tff(11356,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.45/3.65 inference(transitivity,[status(thm)],[11355, 11353])).
% 3.45/3.65 tff(11357,plain,
% 3.45/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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)))))))),
% 3.45/3.65 inference(quant_inst,[status(thm)],[])).
% 3.45/3.65 tff(11358,plain,
% 3.45/3.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z))))))),
% 3.45/3.65 inference(modus_ponens,[status(thm)],[11357, 11356])).
% 3.45/3.65 tff(11359,plain,
% 3.45/3.65 ($false),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11358, 213, 11352, 11266, 11250, 11254])).
% 3.45/3.65 tff(11360,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.65 tff(11361,plain,
% 3.45/3.65 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11360, 506, 9, 16, 3, 468])).
% 3.45/3.65 tff(11362,plain,
% 3.45/3.65 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[1042, 11361])).
% 3.45/3.65 tff(11363,plain,
% 3.45/3.65 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[4214, 11362, 468, 506])).
% 3.45/3.65 tff(11364,plain,
% 3.45/3.65 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[2750, 11363])).
% 3.45/3.65 tff(11365,plain,
% 3.45/3.65 (~b(s(z), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[2366, 11362, 506, 3])).
% 3.45/3.65 tff(11366,plain,
% 3.45/3.65 (r(s(z), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[564, 11365])).
% 3.45/3.65 tff(11367,plain,
% 3.45/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11368,plain,
% 3.45/3.65 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11369,plain,
% 3.45/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))))),
% 3.45/3.65 inference(monotonicity,[status(thm)],[11368])).
% 3.45/3.65 tff(11370,plain,
% 3.45/3.65 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 3.45/3.65 inference(transitivity,[status(thm)],[11369, 11367])).
% 3.45/3.65 tff(11371,plain,
% 3.45/3.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))))),
% 3.45/3.65 inference(quant_inst,[status(thm)],[])).
% 3.45/3.65 tff(11372,plain,
% 3.45/3.65 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))),
% 3.45/3.65 inference(modus_ponens,[status(thm)],[11371, 11370])).
% 3.45/3.65 tff(11373,plain,
% 3.45/3.65 ($false),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11372, 76, 16, 11366, 11238, 11364])).
% 3.45/3.65 tff(11374,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.65 tff(11375,plain,
% 3.45/3.65 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11374, 9, 468, 3, 16])).
% 3.45/3.65 tff(11376,plain,
% 3.45/3.65 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[596, 11375])).
% 3.45/3.65 tff(11377,plain,
% 3.45/3.65 ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[896, 76, 16, 11376, 9])).
% 3.45/3.65 tff(11378,plain,
% 3.45/3.65 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11377, 12])).
% 3.45/3.65 tff(11379,plain,
% 3.45/3.65 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[1871, 11378])).
% 3.45/3.65 tff(11380,plain,
% 3.45/3.65 ($false),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[2076, 76, 16, 6, 9, 12, 2410])).
% 3.45/3.65 tff(11381,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.65 tff(11382,plain,
% 3.45/3.65 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11381, 2410, 9, 12, 16])).
% 3.45/3.65 tff(11383,plain,
% 3.45/3.65 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[153, 11382])).
% 3.45/3.65 tff(11384,plain,
% 3.45/3.65 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[790, 11383, 468, 3])).
% 3.45/3.65 tff(11385,plain,
% 3.45/3.65 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[796, 11384])).
% 3.45/3.65 tff(11386,plain,
% 3.45/3.65 (~r(s(z), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[4006, 11385, 9, 11376, 2410])).
% 3.45/3.65 tff(11387,plain,
% 3.45/3.65 (b(s(z), s(s(s(z))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[564, 11386])).
% 3.45/3.65 tff(11388,plain,
% 3.45/3.65 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11098, 2, 9])).
% 3.45/3.65 tff(11389,plain,
% 3.45/3.65 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[233, 11388])).
% 3.45/3.65 tff(11390,plain,
% 3.45/3.65 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[790, 203, 468, 3])).
% 3.45/3.65 tff(11391,plain,
% 3.45/3.65 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[796, 11390])).
% 3.45/3.65 tff(11392,plain,
% 3.45/3.65 ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[179, 10954])).
% 3.45/3.65 tff(11393,plain,
% 3.45/3.65 (~r(z, s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[11392, 2, 11391, 9])).
% 3.45/3.65 tff(11394,plain,
% 3.45/3.65 (b(z, s(s(s(s(z)))))),
% 3.45/3.65 inference(unit_resolution,[status(thm)],[5013, 11393])).
% 3.45/3.65 tff(11395,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11396,plain,
% 3.45/3.65 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.65 inference(rewrite,[status(thm)],[])).
% 3.45/3.65 tff(11397,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.45/3.65 inference(monotonicity,[status(thm)],[11396])).
% 3.45/3.65 tff(11398,plain,
% 3.45/3.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.66 inference(transitivity,[status(thm)],[11397, 11395])).
% 3.45/3.66 tff(11399,plain,
% 3.45/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))),
% 3.45/3.66 inference(quant_inst,[status(thm)],[])).
% 3.45/3.66 tff(11400,plain,
% 3.45/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.45/3.66 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 3.45/3.66 tff(11401,plain,
% 3.45/3.66 ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11400, 213, 1, 3, 468, 203])).
% 3.45/3.66 tff(11402,plain,
% 3.45/3.66 ($false),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11401, 11394, 11389])).
% 3.45/3.66 tff(11403,plain,((~r(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.66 tff(11404,plain,
% 3.45/3.66 (~r(s(z), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11403, 1, 3, 468, 203, 9])).
% 3.45/3.66 tff(11405,plain,
% 3.45/3.66 (b(s(z), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[3759, 11404])).
% 3.45/3.66 tff(11406,plain,
% 3.45/3.66 (~b(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[3821, 11405, 856, 1])).
% 3.45/3.66 tff(11407,plain,
% 3.45/3.66 (r(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2303, 11406])).
% 3.45/3.66 tff(11408,plain,
% 3.45/3.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11409,plain,
% 3.45/3.66 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))) <=> ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11410,plain,
% 3.45/3.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(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(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.66 inference(monotonicity,[status(thm)],[11409])).
% 3.45/3.66 tff(11411,plain,
% 3.45/3.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(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(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.66 inference(transitivity,[status(thm)],[11410, 11408])).
% 3.45/3.66 tff(11412,plain,
% 3.45/3.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)))),
% 3.45/3.66 inference(quant_inst,[status(thm)],[])).
% 3.45/3.66 tff(11413,plain,
% 3.45/3.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.66 inference(modus_ponens,[status(thm)],[11412, 11411])).
% 3.45/3.66 tff(11414,plain,
% 3.45/3.66 ($false),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11413, 76, 11, 738, 14, 2296])).
% 3.45/3.66 tff(11415,plain,((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.66 tff(11416,plain,
% 3.45/3.66 ((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11415, 10954])).
% 3.45/3.66 tff(11417,plain,
% 3.45/3.66 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11416, 11407, 11])).
% 3.45/3.66 tff(11418,plain,
% 3.45/3.66 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[233, 11417])).
% 3.45/3.66 tff(11419,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11420,plain,
% 3.45/3.66 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11421,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))))),
% 3.45/3.66 inference(monotonicity,[status(thm)],[11420])).
% 3.45/3.66 tff(11422,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.66 inference(transitivity,[status(thm)],[11421, 11419])).
% 3.45/3.66 tff(11423,plain,
% 3.45/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.66 inference(quant_inst,[status(thm)],[])).
% 3.45/3.66 tff(11424,plain,
% 3.45/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.45/3.66 inference(modus_ponens,[status(thm)],[11423, 11422])).
% 3.45/3.66 tff(11425,plain,
% 3.45/3.66 ($false),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11424, 213, 11405, 1, 3, 11418])).
% 3.45/3.66 tff(11426,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.66 tff(11427,plain,
% 3.45/3.66 (~b(z, s(z))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11426, 11387, 11376, 3, 468, 11383, 9])).
% 3.45/3.66 tff(11428,plain,
% 3.45/3.66 (r(z, s(z))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[370, 11427])).
% 3.45/3.66 tff(11429,plain,
% 3.45/3.66 (~r(z, s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[358, 11428, 16, 11385])).
% 3.45/3.66 tff(11430,plain,
% 3.45/3.66 (b(z, s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5013, 11429])).
% 3.45/3.66 tff(11431,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11432,plain,
% 3.45/3.66 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11433,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 3.45/3.66 inference(monotonicity,[status(thm)],[11432])).
% 3.45/3.66 tff(11434,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.66 inference(transitivity,[status(thm)],[11433, 11431])).
% 3.45/3.66 tff(11435,plain,
% 3.45/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.66 inference(quant_inst,[status(thm)],[])).
% 3.45/3.66 tff(11436,plain,
% 3.45/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 3.45/3.66 inference(modus_ponens,[status(thm)],[11435, 11434])).
% 3.45/3.66 tff(11437,plain,
% 3.45/3.66 (~b(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11436, 213, 11430, 468, 11383, 11379])).
% 3.45/3.66 tff(11438,plain,
% 3.45/3.66 (~r(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2658, 76, 11428, 11376, 9, 12])).
% 3.45/3.66 tff(11439,plain,
% 3.45/3.66 ($false),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2303, 11438, 11437])).
% 3.45/3.66 tff(11440,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.66 tff(11441,plain,
% 3.45/3.66 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11440, 12, 9, 468, 16, 3])).
% 3.45/3.66 tff(11442,plain,
% 3.45/3.66 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2750, 11441])).
% 3.45/3.66 tff(11443,plain,
% 3.45/3.66 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5346, 11442, 468, 11379])).
% 3.45/3.66 tff(11444,plain,
% 3.45/3.66 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[1042, 11443])).
% 3.45/3.66 tff(11445,plain,
% 3.45/3.66 (~r(s(z), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[1992, 11444, 9, 11376])).
% 3.45/3.66 tff(11446,plain,
% 3.45/3.66 (b(s(z), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[564, 11445])).
% 3.45/3.66 tff(11447,plain,
% 3.45/3.66 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2357, 11446, 11379, 11442])).
% 3.45/3.66 tff(11448,plain,
% 3.45/3.66 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[796, 11447])).
% 3.45/3.66 tff(11449,plain,
% 3.45/3.66 (~b(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5644, 5015, 2350, 2305])).
% 3.45/3.66 tff(11450,plain,
% 3.45/3.66 (r(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2303, 11449])).
% 3.45/3.66 tff(11451,plain,
% 3.45/3.66 (~b(z, s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5307, 5015, 2350, 2305])).
% 3.45/3.66 tff(11452,plain,
% 3.45/3.66 (r(z, s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[581, 11451])).
% 3.45/3.66 tff(11453,plain,
% 3.45/3.66 ($false),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11146, 11452, 11450, 1028])).
% 3.45/3.66 tff(11454,plain,((~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.66 tff(11455,plain,
% 3.45/3.66 (~b(z, s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11454, 11444, 11379, 11442])).
% 3.45/3.66 tff(11456,plain,
% 3.45/3.66 (r(z, s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5013, 11455])).
% 3.45/3.66 tff(11457,plain,
% 3.45/3.66 (~r(z, s(z))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[358, 11456, 16, 11448])).
% 3.45/3.66 tff(11458,plain,
% 3.45/3.66 (b(z, s(z))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[370, 11457])).
% 3.45/3.66 tff(11459,plain,
% 3.45/3.66 (~r(s(z), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11392, 11456, 11448, 9])).
% 3.45/3.66 tff(11460,plain,
% 3.45/3.66 (b(s(z), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[3759, 11459])).
% 3.45/3.66 tff(11461,plain,
% 3.45/3.66 (~b(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[3821, 11460, 11446, 11458])).
% 3.45/3.66 tff(11462,plain,
% 3.45/3.66 (r(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2303, 11461])).
% 3.45/3.66 tff(11463,plain,
% 3.45/3.66 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11416, 11462, 11376])).
% 3.45/3.66 tff(11464,plain,
% 3.45/3.66 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[233, 11463])).
% 3.45/3.66 tff(11465,plain,
% 3.45/3.66 ($false),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11424, 213, 11460, 11458, 3, 11464])).
% 3.45/3.66 tff(11466,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.66 tff(11467,plain,
% 3.45/3.66 (~r(s(s(s(z))), s(z))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11466, 9, 3, 16, 468])).
% 3.45/3.66 tff(11468,plain,
% 3.45/3.66 (b(s(s(s(z))), s(z))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[535, 11467])).
% 3.45/3.66 tff(11469,plain,
% 3.45/3.66 ((~r(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2147, 10954])).
% 3.45/3.66 tff(11470,plain,
% 3.45/3.66 (~r(s(z), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11469, 1027, 11376, 9])).
% 3.45/3.66 tff(11471,plain,
% 3.45/3.66 (b(s(z), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[3759, 11470])).
% 3.45/3.66 tff(11472,plain,
% 3.45/3.66 (~r(s(z), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[4006, 2410, 9, 11376, 1027])).
% 3.45/3.66 tff(11473,plain,
% 3.45/3.66 (b(s(z), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[796, 11472])).
% 3.45/3.66 tff(11474,plain,
% 3.45/3.66 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[790, 11473, 468, 3])).
% 3.45/3.66 tff(11475,plain,
% 3.45/3.66 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[153, 11474])).
% 3.45/3.66 tff(11476,plain,
% 3.45/3.66 ($false),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2230, 76, 16, 11376, 11475, 1027, 2410])).
% 3.45/3.66 tff(11477,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.66 tff(11478,plain,
% 3.45/3.66 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11477, 1027, 16, 468, 3, 9])).
% 3.45/3.66 tff(11479,plain,
% 3.45/3.66 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2750, 11478])).
% 3.45/3.66 tff(11480,plain,
% 3.45/3.66 (~r(z, s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[358, 117, 16, 350])).
% 3.45/3.66 tff(11481,plain,
% 3.45/3.66 (b(z, s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5013, 11480])).
% 3.45/3.66 tff(11482,plain,
% 3.45/3.66 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5346, 2305, 468, 3256])).
% 3.45/3.66 tff(11483,plain,
% 3.45/3.66 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[1871, 11482])).
% 3.45/3.66 tff(11484,plain,
% 3.45/3.66 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[3797, 117, 9, 1027, 11483])).
% 3.45/3.66 tff(11485,plain,
% 3.45/3.66 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[153, 11484])).
% 3.45/3.66 tff(11486,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11487,plain,
% 3.45/3.66 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(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(s(z))))))))) | (~b(s(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(s(z)))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11488,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(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(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.45/3.66 inference(monotonicity,[status(thm)],[11487])).
% 3.45/3.66 tff(11489,plain,
% 3.45/3.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(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(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.66 inference(transitivity,[status(thm)],[11488, 11486])).
% 3.45/3.66 tff(11490,plain,
% 3.45/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(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(s(z))))))))) | (~b(s(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(s(z))))))))))),
% 3.45/3.66 inference(quant_inst,[status(thm)],[])).
% 3.45/3.66 tff(11491,plain,
% 3.45/3.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.45/3.66 inference(modus_ponens,[status(thm)],[11490, 11489])).
% 3.45/3.66 tff(11492,plain,
% 3.45/3.66 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11491, 213, 11481, 468, 11485])).
% 3.45/3.66 tff(11493,plain,
% 3.45/3.66 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[233, 11492])).
% 3.45/3.66 tff(11494,plain,
% 3.45/3.66 (~r(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11416, 11493, 11])).
% 3.45/3.66 tff(11495,plain,
% 3.45/3.66 (b(s(s(s(z))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[2303, 11494])).
% 3.45/3.66 tff(11496,plain,
% 3.45/3.66 (~b(z, s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[9099, 11495, 2305, 11481])).
% 3.45/3.66 tff(11497,plain,
% 3.45/3.66 (r(z, s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[581, 11496])).
% 3.45/3.66 tff(11498,plain,
% 3.45/3.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11499,plain,
% 3.45/3.66 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z)))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.66 inference(rewrite,[status(thm)],[])).
% 3.45/3.66 tff(11500,plain,
% 3.45/3.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, 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(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))))),
% 3.45/3.66 inference(monotonicity,[status(thm)],[11499])).
% 3.45/3.66 tff(11501,plain,
% 3.45/3.66 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, 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(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))))),
% 3.45/3.66 inference(transitivity,[status(thm)],[11500, 11498])).
% 3.45/3.66 tff(11502,plain,
% 3.45/3.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z))))),
% 3.45/3.66 inference(quant_inst,[status(thm)],[])).
% 3.45/3.66 tff(11503,plain,
% 3.45/3.66 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))),
% 3.45/3.66 inference(modus_ponens,[status(thm)],[11502, 11501])).
% 3.45/3.66 tff(11504,plain,
% 3.45/3.66 ($false),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11503, 76, 350, 11, 11493, 11497, 1027])).
% 3.45/3.66 tff(11505,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(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(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.66 tff(11506,plain,
% 3.45/3.66 (~r(s(z), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11505, 350, 11376, 1027, 11479, 468, 16, 9])).
% 3.45/3.66 tff(11507,plain,
% 3.45/3.66 (b(s(z), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[796, 11506])).
% 3.45/3.66 tff(11508,plain,
% 3.45/3.66 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[790, 11507, 468, 3])).
% 3.45/3.66 tff(11509,plain,
% 3.45/3.66 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[153, 11508])).
% 3.45/3.66 tff(11510,plain,
% 3.45/3.66 (~r(s(s(s(s(z)))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[11220, 11509, 9, 16])).
% 3.45/3.66 tff(11511,plain,
% 3.45/3.66 (b(s(s(s(s(z)))), z)),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[170, 11510])).
% 3.45/3.66 tff(11512,plain,
% 3.45/3.66 (~b(z, s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[10970, 11511, 468, 11507, 3])).
% 3.45/3.66 tff(11513,plain,
% 3.45/3.66 (r(z, s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5013, 11512])).
% 3.45/3.66 tff(11514,plain,
% 3.45/3.66 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[1992, 1027, 9, 11376])).
% 3.45/3.66 tff(11515,plain,
% 3.45/3.66 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[1042, 11514])).
% 3.45/3.66 tff(11516,plain,
% 3.45/3.66 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[5346, 11479, 468, 11515])).
% 3.45/3.66 tff(11517,plain,
% 3.45/3.66 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.66 inference(unit_resolution,[status(thm)],[1871, 11516])).
% 3.45/3.66 tff(11518,plain,
% 3.45/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11519,plain,
% 3.45/3.67 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11520,plain,
% 3.45/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 3.45/3.67 inference(monotonicity,[status(thm)],[11519])).
% 3.45/3.67 tff(11521,plain,
% 3.45/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.45/3.67 inference(transitivity,[status(thm)],[11520, 11518])).
% 3.45/3.67 tff(11522,plain,
% 3.45/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.45/3.67 inference(quant_inst,[status(thm)],[])).
% 3.45/3.67 tff(11523,plain,
% 3.45/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.45/3.67 inference(modus_ponens,[status(thm)],[11522, 11521])).
% 3.45/3.67 tff(11524,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11523, 76, 11, 6, 14, 2296, 1556])).
% 3.45/3.67 tff(11525,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11526,plain,
% 3.45/3.67 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11525, 10954])).
% 3.45/3.67 tff(11527,plain,
% 3.45/3.67 (~r(s(s(s(z))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11526, 11509, 11376, 11517])).
% 3.45/3.67 tff(11528,plain,
% 3.45/3.67 (b(s(s(s(z))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2303, 11527])).
% 3.45/3.67 tff(11529,plain,
% 3.45/3.67 (~b(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2313, 11511, 11479, 11528])).
% 3.45/3.67 tff(11530,plain,
% 3.45/3.67 (r(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[581, 11529])).
% 3.45/3.67 tff(11531,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[7283, 11530, 11513, 1027, 16, 350])).
% 3.45/3.67 tff(11532,plain,((~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11533,plain,
% 3.45/3.67 (~r(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11532, 1027, 16, 468, 3, 9])).
% 3.45/3.67 tff(11534,plain,
% 3.45/3.67 (b(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[370, 11533])).
% 3.45/3.67 tff(11535,plain,
% 3.45/3.67 (~b(s(s(s(z))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[3892, 11534, 11468, 11471])).
% 3.45/3.67 tff(11536,plain,
% 3.45/3.67 (r(s(s(s(z))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2303, 11535])).
% 3.45/3.67 tff(11537,plain,
% 3.45/3.67 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11416, 11536, 11376])).
% 3.45/3.67 tff(11538,plain,
% 3.45/3.67 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[233, 11537])).
% 3.45/3.67 tff(11539,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11424, 213, 11471, 11534, 3, 11538])).
% 3.45/3.67 tff(11540,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11541,plain,
% 3.45/3.67 (~r(s(z), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11540, 9, 16, 468, 3])).
% 3.45/3.67 tff(11542,plain,
% 3.45/3.67 (b(s(z), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[564, 11541])).
% 3.45/3.67 tff(11543,plain,
% 3.45/3.67 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11544,plain,
% 3.45/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.45/3.67 inference(monotonicity,[status(thm)],[11543])).
% 3.45/3.67 tff(11545,plain,
% 3.45/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.67 inference(transitivity,[status(thm)],[11544, 2756])).
% 3.45/3.67 tff(11546,plain,
% 3.45/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.45/3.67 inference(quant_inst,[status(thm)],[])).
% 3.45/3.67 tff(11547,plain,
% 3.45/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.45/3.67 inference(modus_ponens,[status(thm)],[11546, 11545])).
% 3.45/3.67 tff(11548,plain,
% 3.45/3.67 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11547, 213, 3, 11542, 11468])).
% 3.45/3.67 tff(11549,plain,
% 3.45/3.67 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[1042, 11548])).
% 3.45/3.67 tff(11550,plain,
% 3.45/3.67 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2700, 782, 11468, 11542])).
% 3.45/3.67 tff(11551,plain,
% 3.45/3.67 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2750, 11550])).
% 3.45/3.67 tff(11552,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2412, 11551, 10956, 9, 11549, 16])).
% 3.45/3.67 tff(11553,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11554,plain,
% 3.45/3.67 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11553, 9, 16, 468, 3])).
% 3.45/3.67 tff(11555,plain,
% 3.45/3.67 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[796, 11554])).
% 3.45/3.67 tff(11556,plain,
% 3.45/3.67 (~r(s(z), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11098, 738, 9])).
% 3.45/3.67 tff(11557,plain,
% 3.45/3.67 (b(s(z), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[3759, 11556])).
% 3.45/3.67 tff(11558,plain,
% 3.45/3.67 (~r(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[3157, 738, 11, 1028])).
% 3.45/3.67 tff(11559,plain,
% 3.45/3.67 (b(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[581, 11558])).
% 3.45/3.67 tff(11560,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[6470, 11559, 11557, 8, 856])).
% 3.45/3.67 tff(11561,plain,((~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11562,plain,
% 3.45/3.67 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11561, 11468, 11542, 11376, 11549, 9])).
% 3.45/3.67 tff(11563,plain,
% 3.45/3.67 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[233, 11562])).
% 3.45/3.67 tff(11564,plain,
% 3.45/3.67 (~b(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11426, 203, 11376, 3, 468, 11542, 9])).
% 3.45/3.67 tff(11565,plain,
% 3.45/3.67 (r(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[370, 11564])).
% 3.45/3.67 tff(11566,plain,
% 3.45/3.67 (~r(z, s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[358, 11565, 16, 11555])).
% 3.45/3.67 tff(11567,plain,
% 3.45/3.67 (b(z, s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[5013, 11566])).
% 3.45/3.67 tff(11568,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11491, 213, 11567, 468, 203, 11563])).
% 3.45/3.67 tff(11569,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11570,plain,
% 3.45/3.67 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11569, 9, 16, 3, 468])).
% 3.45/3.67 tff(11571,plain,
% 3.45/3.67 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[153, 11570])).
% 3.45/3.67 tff(11572,plain,
% 3.45/3.67 (~r(s(s(s(s(z)))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11220, 11571, 9, 16])).
% 3.45/3.67 tff(11573,plain,
% 3.45/3.67 (b(s(s(s(s(z)))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[170, 11572])).
% 3.45/3.67 tff(11574,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11154, 213, 5015, 191, 468, 202])).
% 3.45/3.67 tff(11575,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11576,plain,
% 3.45/3.67 (~b(z, s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11575, 11573, 468, 11563])).
% 3.45/3.67 tff(11577,plain,
% 3.45/3.67 (r(z, s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[5013, 11576])).
% 3.45/3.67 tff(11578,plain,
% 3.45/3.67 (~r(s(z), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11392, 11577, 11555, 9])).
% 3.45/3.67 tff(11579,plain,
% 3.45/3.67 (b(s(z), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[3759, 11578])).
% 3.45/3.67 tff(11580,plain,
% 3.45/3.67 (~r(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[358, 11577, 16, 11555])).
% 3.45/3.67 tff(11581,plain,
% 3.45/3.67 (b(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[370, 11580])).
% 3.45/3.67 tff(11582,plain,
% 3.45/3.67 (~b(s(s(s(z))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[3892, 11581, 11468, 11579])).
% 3.45/3.67 tff(11583,plain,
% 3.45/3.67 (r(s(s(s(z))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2303, 11582])).
% 3.45/3.67 tff(11584,plain,
% 3.45/3.67 (~b(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[8680, 11581, 11468, 11542])).
% 3.45/3.67 tff(11585,plain,
% 3.45/3.67 (r(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[581, 11584])).
% 3.45/3.67 tff(11586,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11146, 11585, 11583, 11549])).
% 3.45/3.67 tff(11587,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11588,plain,
% 3.45/3.67 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11587, 468, 16, 3])).
% 3.45/3.67 tff(11589,plain,
% 3.45/3.67 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[3417, 11588])).
% 3.45/3.67 tff(11590,plain,
% 3.45/3.67 (~b(s(z), s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[3405, 203, 468, 11589])).
% 3.45/3.67 tff(11591,plain,
% 3.45/3.67 (r(s(z), s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[796, 11590])).
% 3.45/3.67 tff(11592,plain,
% 3.45/3.67 (~b(s(s(s(z))), s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[7428, 506, 11589, 3])).
% 3.45/3.67 tff(11593,plain,
% 3.45/3.67 (r(s(s(s(z))), s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[535, 11592])).
% 3.45/3.67 tff(11594,plain,
% 3.45/3.67 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11372, 76, 16, 1027, 11593])).
% 3.45/3.67 tff(11595,plain,
% 3.45/3.67 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2750, 11594])).
% 3.45/3.67 tff(11596,plain,
% 3.45/3.67 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[4642, 11595, 468, 506])).
% 3.45/3.67 tff(11597,plain,
% 3.45/3.67 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[1871, 11596])).
% 3.45/3.67 tff(11598,plain,
% 3.45/3.67 (~r(s(z), s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11248, 11597, 11593, 16])).
% 3.45/3.67 tff(11599,plain,
% 3.45/3.67 (b(s(z), s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[796, 11598])).
% 3.45/3.67 tff(11600,plain,
% 3.45/3.67 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[790, 11599, 468, 3])).
% 3.45/3.67 tff(11601,plain,
% 3.45/3.67 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[153, 11600])).
% 3.45/3.67 tff(11602,plain,
% 3.45/3.67 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[4214, 11595, 468, 506])).
% 3.45/3.67 tff(11603,plain,
% 3.45/3.67 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[1042, 11602])).
% 3.45/3.67 tff(11604,plain,
% 3.45/3.67 (~r(s(s(s(z))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[4278, 10, 12, 16, 1556])).
% 3.45/3.67 tff(11605,plain,
% 3.45/3.67 (b(s(s(s(z))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2303, 11604])).
% 3.45/3.67 tff(11606,plain,
% 3.45/3.67 (~r(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11264, 350, 16, 10, 1556])).
% 3.45/3.67 tff(11607,plain,
% 3.45/3.67 (b(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[581, 11606])).
% 3.45/3.67 tff(11608,plain,
% 3.45/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(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(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11609,plain,
% 3.45/3.67 (((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(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(s(z)))))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11610,plain,
% 3.45/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z))))),
% 3.45/3.67 inference(monotonicity,[status(thm)],[11609])).
% 3.45/3.67 tff(11611,plain,
% 3.45/3.67 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.45/3.67 inference(transitivity,[status(thm)],[11610, 11608])).
% 3.45/3.67 tff(11612,plain,
% 3.45/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(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(s(z))))))))))),
% 3.45/3.67 inference(quant_inst,[status(thm)],[])).
% 3.45/3.67 tff(11613,plain,
% 3.45/3.67 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z))),
% 3.45/3.67 inference(modus_ponens,[status(thm)],[11612, 11611])).
% 3.45/3.67 tff(11614,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11613, 76, 350, 16, 155, 6, 14])).
% 3.45/3.67 tff(11615,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11616,plain,
% 3.45/3.67 ((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11615, 10954])).
% 3.45/3.67 tff(11617,plain,
% 3.45/3.67 (~r(s(s(s(s(z)))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11616, 350, 16, 6])).
% 3.45/3.67 tff(11618,plain,
% 3.45/3.67 (b(s(s(s(s(z)))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[170, 11617])).
% 3.45/3.67 tff(11619,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2313, 11618, 11607, 2305, 1016])).
% 3.45/3.67 tff(11620,plain,((~r(z, s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11621,plain,
% 3.45/3.67 (~r(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11620, 11605, 2305, 16, 6, 10, 1556])).
% 3.45/3.67 tff(11622,plain,
% 3.45/3.67 (b(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[370, 11621])).
% 3.45/3.67 tff(11623,plain,
% 3.45/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11624,plain,
% 3.45/3.67 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11625,plain,
% 3.45/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))))),
% 3.45/3.67 inference(monotonicity,[status(thm)],[11624])).
% 3.45/3.67 tff(11626,plain,
% 3.45/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.67 inference(transitivity,[status(thm)],[11625, 11623])).
% 3.45/3.67 tff(11627,plain,
% 3.45/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.67 inference(quant_inst,[status(thm)],[])).
% 3.45/3.67 tff(11628,plain,
% 3.45/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.45/3.67 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 3.45/3.67 tff(11629,plain,
% 3.45/3.67 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11628, 213, 11622, 3, 4])).
% 3.45/3.67 tff(11630,plain,
% 3.45/3.67 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[233, 11629])).
% 3.45/3.67 tff(11631,plain,
% 3.45/3.67 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[9460, 10954])).
% 3.45/3.67 tff(11632,plain,
% 3.45/3.67 (~r(s(s(s(s(z)))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11631, 11630, 6])).
% 3.45/3.67 tff(11633,plain,
% 3.45/3.67 (b(s(s(s(s(z)))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[170, 11632])).
% 3.45/3.67 tff(11634,plain,
% 3.45/3.67 (~r(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[3486, 11630, 1556, 10, 1028])).
% 3.45/3.67 tff(11635,plain,
% 3.45/3.67 (b(z, s(s(s(z))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[581, 11634])).
% 3.45/3.67 tff(11636,plain,
% 3.45/3.67 ($false),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[2313, 11635, 11633, 2305, 11605])).
% 3.45/3.67 tff(11637,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.67 tff(11638,plain,
% 3.45/3.67 (~r(z, s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11637, 11595, 11597, 11603, 11601, 3, 11589, 16, 11593])).
% 3.45/3.67 tff(11639,plain,
% 3.45/3.67 (b(z, s(s(s(s(z)))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[5013, 11638])).
% 3.45/3.67 tff(11640,plain,
% 3.45/3.67 (~b(s(s(s(s(z)))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[10970, 11639, 468, 11599, 3])).
% 3.45/3.67 tff(11641,plain,
% 3.45/3.67 (r(s(s(s(s(z)))), z)),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[170, 11640])).
% 3.45/3.67 tff(11642,plain,
% 3.45/3.67 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11631, 11641, 11601])).
% 3.45/3.67 tff(11643,plain,
% 3.45/3.67 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[233, 11642])).
% 3.45/3.67 tff(11644,plain,
% 3.45/3.67 (~r(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[11616, 11641, 16, 11601])).
% 3.45/3.67 tff(11645,plain,
% 3.45/3.67 (b(z, s(z))),
% 3.45/3.67 inference(unit_resolution,[status(thm)],[370, 11644])).
% 3.45/3.67 tff(11646,plain,
% 3.45/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11647,plain,
% 3.45/3.67 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.45/3.67 inference(rewrite,[status(thm)],[])).
% 3.45/3.67 tff(11648,plain,
% 3.45/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z))))))))),
% 3.45/3.67 inference(monotonicity,[status(thm)],[11647])).
% 3.45/3.67 tff(11649,plain,
% 3.45/3.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.45/3.67 inference(transitivity,[status(thm)],[11648, 11646])).
% 3.45/3.67 tff(11650,plain,
% 3.45/3.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))),
% 3.45/3.68 inference(quant_inst,[status(thm)],[])).
% 3.45/3.68 tff(11651,plain,
% 3.45/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z))))))),
% 3.45/3.68 inference(modus_ponens,[status(thm)],[11650, 11649])).
% 3.45/3.68 tff(11652,plain,
% 3.45/3.68 ($false),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11651, 213, 11645, 11639, 11599, 3, 11589, 11643])).
% 3.45/3.68 tff(11653,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.68 tff(11654,plain,
% 3.45/3.68 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11653, 1027, 16, 468, 3])).
% 3.45/3.68 tff(11655,plain,
% 3.45/3.68 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[596, 11654])).
% 3.45/3.68 tff(11656,plain,
% 3.45/3.68 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11628, 213, 1, 3, 11589])).
% 3.45/3.68 tff(11657,plain,
% 3.45/3.68 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[233, 11656])).
% 3.45/3.68 tff(11658,plain,
% 3.45/3.68 (~r(s(s(s(z))), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11416, 11657, 11655])).
% 3.45/3.68 tff(11659,plain,
% 3.45/3.68 (b(s(s(s(z))), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[2303, 11658])).
% 3.45/3.68 tff(11660,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.68 inference(rewrite,[status(thm)],[])).
% 3.45/3.68 tff(11661,plain,
% 3.45/3.68 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.68 inference(rewrite,[status(thm)],[])).
% 3.45/3.68 tff(11662,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.45/3.68 inference(monotonicity,[status(thm)],[11661])).
% 3.45/3.68 tff(11663,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.68 inference(transitivity,[status(thm)],[11662, 11660])).
% 3.45/3.68 tff(11664,plain,
% 3.45/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.68 inference(quant_inst,[status(thm)],[])).
% 3.45/3.68 tff(11665,plain,
% 3.45/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.45/3.68 inference(modus_ponens,[status(thm)],[11664, 11663])).
% 3.45/3.68 tff(11666,plain,
% 3.45/3.68 ($false),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11665, 213, 1, 3, 8, 4, 1016])).
% 3.45/3.68 tff(11667,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.68 tff(11668,plain,
% 3.45/3.68 (~b(s(s(s(z))), s(z))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11667, 1, 3, 11589, 11659])).
% 3.45/3.68 tff(11669,plain,
% 3.45/3.68 (r(s(s(s(z))), s(z))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[535, 11668])).
% 3.45/3.68 tff(11670,plain,
% 3.45/3.68 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11372, 76, 16, 1027, 11669])).
% 3.45/3.68 tff(11671,plain,
% 3.45/3.68 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[2750, 11670])).
% 3.45/3.68 tff(11672,plain,
% 3.45/3.68 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11248, 11669, 11591, 16])).
% 3.45/3.68 tff(11673,plain,
% 3.45/3.68 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[1871, 11672])).
% 3.45/3.68 tff(11674,plain,
% 3.45/3.68 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[7745, 11673, 468, 203])).
% 3.45/3.68 tff(11675,plain,
% 3.45/3.68 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[1042, 11674])).
% 3.45/3.68 tff(11676,plain,
% 3.45/3.68 (~r(z, s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[3157, 11675, 11655, 11657])).
% 3.45/3.68 tff(11677,plain,
% 3.45/3.68 (b(z, s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[581, 11676])).
% 3.45/3.68 tff(11678,plain,
% 3.45/3.68 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[725, 7757, 468, 203])).
% 3.45/3.68 tff(11679,plain,
% 3.45/3.68 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[484, 11678])).
% 3.45/3.68 tff(11680,plain,
% 3.45/3.68 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11248, 12, 117, 16])).
% 3.45/3.68 tff(11681,plain,
% 3.45/3.68 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[1871, 11680])).
% 3.45/3.68 tff(11682,plain,
% 3.45/3.68 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[7745, 11681, 468, 203])).
% 3.45/3.68 tff(11683,plain,
% 3.45/3.68 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[1042, 11682])).
% 3.45/3.68 tff(11684,plain,
% 3.45/3.68 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[7190, 76, 706, 11683, 11679, 12])).
% 3.45/3.68 tff(11685,plain,
% 3.45/3.68 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[653, 11684])).
% 3.45/3.68 tff(11686,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.68 inference(rewrite,[status(thm)],[])).
% 3.45/3.68 tff(11687,plain,
% 3.45/3.68 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.68 inference(rewrite,[status(thm)],[])).
% 3.45/3.68 tff(11688,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.45/3.68 inference(monotonicity,[status(thm)],[11687])).
% 3.45/3.68 tff(11689,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.45/3.68 inference(transitivity,[status(thm)],[11688, 11686])).
% 3.45/3.68 tff(11690,plain,
% 3.45/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.45/3.68 inference(quant_inst,[status(thm)],[])).
% 3.45/3.68 tff(11691,plain,
% 3.45/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.45/3.68 inference(modus_ponens,[status(thm)],[11690, 11689])).
% 3.45/3.68 tff(11692,plain,
% 3.45/3.68 ($false),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11691, 213, 1065, 11685, 1016, 2305, 7757])).
% 3.45/3.68 tff(11693,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.68 tff(11694,plain,
% 3.45/3.68 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11693, 11677, 11659, 11671, 11669, 468, 203, 16, 11591])).
% 3.45/3.68 tff(11695,plain,
% 3.45/3.68 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[610, 11694])).
% 3.45/3.68 tff(11696,plain,
% 3.45/3.68 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[8460, 11695, 11588, 3])).
% 3.45/3.68 tff(11697,plain,
% 3.45/3.68 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[436, 11696])).
% 3.45/3.68 tff(11698,plain,
% 3.45/3.68 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11372, 76, 16, 1027, 12])).
% 3.45/3.68 tff(11699,plain,
% 3.45/3.68 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[550, 110, 11698])).
% 3.45/3.68 tff(11700,plain,
% 3.45/3.68 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11699, 540])).
% 3.45/3.68 tff(11701,plain,
% 3.45/3.68 ($false),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[5615, 213, 5015, 1016, 11700, 5600])).
% 3.45/3.68 tff(11702,plain,((~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.68 tff(11703,plain,
% 3.45/3.68 (~b(z, s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11702, 11669, 1027, 11591, 16, 11659])).
% 3.45/3.68 tff(11704,plain,
% 3.45/3.68 (r(z, s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[5013, 11703])).
% 3.45/3.68 tff(11705,plain,
% 3.45/3.68 (~b(s(s(s(s(z)))), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[2313, 11671, 11677, 11659])).
% 3.45/3.68 tff(11706,plain,
% 3.45/3.68 (r(s(s(s(s(z)))), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[170, 11705])).
% 3.45/3.68 tff(11707,plain,
% 3.45/3.68 (~r(s(z), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[163, 11706, 11591, 11704])).
% 3.45/3.68 tff(11708,plain,
% 3.45/3.68 (b(s(z), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[3759, 11707])).
% 3.45/3.68 tff(11709,plain,
% 3.45/3.68 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[6084, 213, 11708, 1, 11695])).
% 3.45/3.68 tff(11710,plain,
% 3.45/3.68 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[627, 11709])).
% 3.45/3.68 tff(11711,plain,
% 3.45/3.68 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[6076, 213, 11708, 1, 11695])).
% 3.45/3.68 tff(11712,plain,
% 3.45/3.68 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[819, 11711])).
% 3.45/3.68 tff(11713,plain,
% 3.45/3.68 ($false),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11025, 11712, 11710, 11697])).
% 3.45/3.68 tff(11714,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.68 tff(11715,plain,
% 3.45/3.68 (~b(z, s(z))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11714, 203, 468, 3, 16, 1027])).
% 3.45/3.68 tff(11716,plain,
% 3.45/3.68 (r(z, s(z))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[370, 11715])).
% 3.45/3.68 tff(11717,plain,
% 3.45/3.68 (~r(z, s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[358, 11716, 16, 11591])).
% 3.45/3.68 tff(11718,plain,
% 3.45/3.68 (b(z, s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[5013, 11717])).
% 3.45/3.68 tff(11719,plain,
% 3.45/3.68 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11491, 213, 11718, 468, 203])).
% 3.45/3.68 tff(11720,plain,
% 3.45/3.68 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[233, 11719])).
% 3.45/3.68 tff(11721,plain,
% 3.45/3.68 (~r(z, s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[8215, 11720, 11589, 1027, 11716])).
% 3.45/3.68 tff(11722,plain,
% 3.45/3.68 (b(z, s(s(s(z))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[581, 11721])).
% 3.45/3.68 tff(11723,plain,
% 3.45/3.68 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11415, 2296, 14, 11])).
% 3.45/3.68 tff(11724,plain,
% 3.45/3.68 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[233, 11723])).
% 3.45/3.68 tff(11725,plain,
% 3.45/3.68 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[9384, 11724, 4, 3771])).
% 3.45/3.68 tff(11726,plain,
% 3.45/3.68 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[450, 11725])).
% 3.45/3.68 tff(11727,plain,
% 3.45/3.68 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[461, 11122, 117, 15])).
% 3.45/3.68 tff(11728,plain,
% 3.45/3.68 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[250, 11727])).
% 3.45/3.68 tff(11729,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.68 inference(rewrite,[status(thm)],[])).
% 3.45/3.68 tff(11730,plain,
% 3.45/3.68 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.68 inference(rewrite,[status(thm)],[])).
% 3.45/3.68 tff(11731,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))))),
% 3.45/3.68 inference(monotonicity,[status(thm)],[11730])).
% 3.45/3.68 tff(11732,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.68 inference(transitivity,[status(thm)],[11731, 11729])).
% 3.45/3.68 tff(11733,plain,
% 3.45/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.68 inference(quant_inst,[status(thm)],[])).
% 3.45/3.68 tff(11734,plain,
% 3.45/3.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 3.45/3.68 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 3.45/3.68 tff(11735,plain,
% 3.45/3.68 ($false),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11734, 213, 5015, 191, 1507, 1065, 11728, 202])).
% 3.45/3.68 tff(11736,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.68 tff(11737,plain,
% 3.45/3.68 (~b(s(s(s(s(z)))), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11736, 1507, 5015, 1065, 11724, 117, 15, 3771])).
% 3.45/3.68 tff(11738,plain,
% 3.45/3.68 (r(s(s(s(s(z)))), z)),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[170, 11737])).
% 3.45/3.68 tff(11739,plain,
% 3.45/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.68 inference(rewrite,[status(thm)],[])).
% 3.45/3.68 tff(11740,plain,
% 3.45/3.68 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.68 inference(rewrite,[status(thm)],[])).
% 3.45/3.68 tff(11741,plain,
% 3.45/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(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(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.45/3.68 inference(monotonicity,[status(thm)],[11740])).
% 3.45/3.68 tff(11742,plain,
% 3.45/3.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(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(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.45/3.68 inference(transitivity,[status(thm)],[11741, 11739])).
% 3.45/3.68 tff(11743,plain,
% 3.45/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.45/3.68 inference(quant_inst,[status(thm)],[])).
% 3.45/3.68 tff(11744,plain,
% 3.45/3.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.45/3.68 inference(modus_ponens,[status(thm)],[11743, 11742])).
% 3.45/3.68 tff(11745,plain,
% 3.45/3.68 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[11744, 76, 117, 11738, 15, 14])).
% 3.45/3.68 tff(11746,plain,
% 3.45/3.68 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.45/3.68 inference(unit_resolution,[status(thm)],[250, 11745])).
% 3.45/3.68 tff(11747,plain,
% 3.45/3.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11748,plain,
% 3.45/3.69 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11749,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))))),
% 3.45/3.69 inference(monotonicity,[status(thm)],[11748])).
% 3.45/3.69 tff(11750,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(transitivity,[status(thm)],[11749, 11747])).
% 3.45/3.69 tff(11751,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))),
% 3.45/3.69 inference(quant_inst,[status(thm)],[])).
% 3.45/3.69 tff(11752,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))),
% 3.45/3.69 inference(modus_ponens,[status(thm)],[11751, 11750])).
% 3.45/3.69 tff(11753,plain,
% 3.45/3.69 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11752, 213, 5015, 1065, 468, 2305, 11724])).
% 3.45/3.69 tff(11754,plain,
% 3.45/3.69 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[153, 11753])).
% 3.45/3.69 tff(11755,plain,
% 3.45/3.69 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11523, 76, 11, 11754, 14, 2296])).
% 3.45/3.69 tff(11756,plain,
% 3.45/3.69 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[1871, 11755])).
% 3.45/3.69 tff(11757,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11758,plain,
% 3.45/3.69 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11759,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))))),
% 3.45/3.69 inference(monotonicity,[status(thm)],[11758])).
% 3.45/3.69 tff(11760,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(transitivity,[status(thm)],[11759, 11757])).
% 3.45/3.69 tff(11761,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.69 inference(quant_inst,[status(thm)],[])).
% 3.45/3.69 tff(11762,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 3.45/3.69 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 3.45/3.69 tff(11763,plain,
% 3.45/3.69 ($false),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11762, 213, 1507, 1065, 2305, 11724, 11756])).
% 3.45/3.69 tff(11764,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.69 tff(11765,plain,
% 3.45/3.69 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11764, 1507, 1065, 11, 14, 2296, 5015, 11746])).
% 3.45/3.69 tff(11766,plain,
% 3.45/3.69 ((s(s(s(s(z)))) = s(s(s(z)))) | r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[550, 110, 11765])).
% 3.45/3.69 tff(11767,plain,
% 3.45/3.69 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11766, 540])).
% 3.45/3.69 tff(11768,plain,
% 3.45/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11769,plain,
% 3.45/3.69 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11770,plain,
% 3.45/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 3.45/3.69 inference(monotonicity,[status(thm)],[11769])).
% 3.45/3.69 tff(11771,plain,
% 3.45/3.69 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.45/3.69 inference(transitivity,[status(thm)],[11770, 11768])).
% 3.45/3.69 tff(11772,plain,
% 3.45/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 3.45/3.69 inference(quant_inst,[status(thm)],[])).
% 3.45/3.69 tff(11773,plain,
% 3.45/3.69 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 3.45/3.69 inference(modus_ponens,[status(thm)],[11772, 11771])).
% 3.45/3.69 tff(11774,plain,
% 3.45/3.69 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11773, 76, 11738, 11, 14])).
% 3.45/3.69 tff(11775,plain,
% 3.45/3.69 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11774, 11767])).
% 3.45/3.69 tff(11776,plain,
% 3.45/3.69 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[153, 11775])).
% 3.45/3.69 tff(11777,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11778,plain,
% 3.45/3.69 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z)))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11779,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))))),
% 3.45/3.69 inference(monotonicity,[status(thm)],[11778])).
% 3.45/3.69 tff(11780,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(transitivity,[status(thm)],[11779, 11777])).
% 3.45/3.69 tff(11781,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(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(s(z))))))))))),
% 3.45/3.69 inference(quant_inst,[status(thm)],[])).
% 3.45/3.69 tff(11782,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 3.45/3.69 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 3.45/3.69 tff(11783,plain,
% 3.45/3.69 ($false),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11782, 213, 5015, 1507, 1065, 11746, 11776, 11724])).
% 3.45/3.69 tff(11784,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.69 tff(11785,plain,
% 3.45/3.69 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11784, 2296, 1065, 11, 14, 5015, 117, 11726, 3771])).
% 3.45/3.69 tff(11786,plain,
% 3.45/3.69 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[1042, 11785])).
% 3.45/3.69 tff(11787,plain,
% 3.45/3.69 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11523, 76, 11, 6, 14, 2296])).
% 3.45/3.69 tff(11788,plain,
% 3.45/3.69 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[1871, 11787])).
% 3.45/3.69 tff(11789,plain,
% 3.45/3.69 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[2684, 6, 11, 1028])).
% 3.45/3.69 tff(11790,plain,
% 3.45/3.69 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[550, 110, 11789])).
% 3.45/3.69 tff(11791,plain,
% 3.45/3.69 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11790, 540])).
% 3.45/3.69 tff(11792,plain,
% 3.45/3.69 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11793,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))))),
% 3.45/3.69 inference(monotonicity,[status(thm)],[11792])).
% 3.45/3.69 tff(11794,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.45/3.69 inference(transitivity,[status(thm)],[11793, 5300])).
% 3.45/3.69 tff(11795,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 3.45/3.69 inference(quant_inst,[status(thm)],[])).
% 3.45/3.69 tff(11796,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))),
% 3.45/3.69 inference(modus_ponens,[status(thm)],[11795, 11794])).
% 3.45/3.69 tff(11797,plain,
% 3.45/3.69 ($false),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11796, 213, 5015, 1065, 11791, 11788])).
% 3.45/3.69 tff(11798,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.69 tff(11799,plain,
% 3.45/3.69 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11798, 2296, 1065, 11, 14, 5015, 11786])).
% 3.45/3.69 tff(11800,plain,
% 3.45/3.69 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[153, 11799])).
% 3.45/3.69 tff(11801,plain,
% 3.45/3.69 ($false),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11154, 213, 5015, 191, 11728, 202])).
% 3.45/3.69 tff(11802,plain,((~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.69 tff(11803,plain,
% 3.45/3.69 (~b(s(s(s(s(z)))), z)),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11802, 11724, 5015, 117, 11726, 3771])).
% 3.45/3.69 tff(11804,plain,
% 3.45/3.69 (r(s(s(s(s(z)))), z)),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[170, 11803])).
% 3.45/3.69 tff(11805,plain,
% 3.45/3.69 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11744, 76, 117, 11804, 11726, 14])).
% 3.45/3.69 tff(11806,plain,
% 3.45/3.69 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[250, 11805])).
% 3.45/3.69 tff(11807,plain,
% 3.45/3.69 ($false),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11491, 213, 5015, 11806, 11800, 11724])).
% 3.45/3.69 tff(11808,plain,((~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.45/3.69 tff(11809,plain,
% 3.45/3.69 (~r(s(s(s(z))), z)),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[11808, 1065, 5015, 11, 14, 117, 3771, 4])).
% 3.45/3.69 tff(11810,plain,
% 3.45/3.69 (b(s(s(s(z))), z)),
% 3.45/3.69 inference(unit_resolution,[status(thm)],[2303, 11809])).
% 3.45/3.69 tff(11811,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11812,plain,
% 3.45/3.69 (((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.69 inference(rewrite,[status(thm)],[])).
% 3.45/3.69 tff(11813,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.45/3.69 inference(monotonicity,[status(thm)],[11812])).
% 3.45/3.69 tff(11814,plain,
% 3.45/3.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.45/3.69 inference(transitivity,[status(thm)],[11813, 11811])).
% 3.45/3.69 tff(11815,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 3.45/3.69 inference(quant_inst,[status(thm)],[])).
% 3.45/3.69 tff(11816,plain,
% 3.45/3.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.55/3.70 inference(modus_ponens,[status(thm)],[11815, 11814])).
% 3.55/3.70 tff(11817,plain,
% 3.55/3.70 (~b(s(s(s(z))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11816, 213, 3771, 1065, 11810])).
% 3.55/3.70 tff(11818,plain,
% 3.55/3.70 (r(s(s(s(z))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[535, 11817])).
% 3.55/3.70 tff(11819,plain,
% 3.55/3.70 (~b(s(s(s(s(z)))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11125, 11818, 117, 5015, 11810, 3771])).
% 3.55/3.70 tff(11820,plain,
% 3.55/3.70 (r(s(s(s(s(z)))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[170, 11819])).
% 3.55/3.70 tff(11821,plain,
% 3.55/3.70 (((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.70 inference(rewrite,[status(thm)],[])).
% 3.55/3.70 tff(11822,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.55/3.70 inference(monotonicity,[status(thm)],[11821])).
% 3.55/3.70 tff(11823,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.70 inference(transitivity,[status(thm)],[11822, 6453])).
% 3.55/3.70 tff(11824,plain,
% 3.55/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))))),
% 3.55/3.70 inference(quant_inst,[status(thm)],[])).
% 3.55/3.70 tff(11825,plain,
% 3.55/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.55/3.70 inference(modus_ponens,[status(thm)],[11824, 11823])).
% 3.55/3.70 tff(11826,plain,
% 3.55/3.70 (~b(s(z), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11825, 213, 3771, 1065, 11810])).
% 3.55/3.70 tff(11827,plain,
% 3.55/3.70 (r(s(z), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[564, 11826])).
% 3.55/3.70 tff(11828,plain,
% 3.55/3.70 (~r(s(s(s(s(z)))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11702, 11810, 5015, 117, 11818, 11827])).
% 3.55/3.70 tff(11829,plain,
% 3.55/3.70 (b(s(s(s(s(z)))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[115, 11828])).
% 3.55/3.70 tff(11830,plain,
% 3.55/3.70 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[8061, 203, 284, 4])).
% 3.55/3.70 tff(11831,plain,
% 3.55/3.70 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[450, 11830])).
% 3.55/3.70 tff(11832,plain,
% 3.55/3.70 ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11744, 76, 117, 155, 14])).
% 3.55/3.70 tff(11833,plain,
% 3.55/3.70 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11832, 11831])).
% 3.55/3.70 tff(11834,plain,
% 3.55/3.70 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[250, 11833])).
% 3.55/3.70 tff(11835,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.55/3.70 inference(rewrite,[status(thm)],[])).
% 3.55/3.70 tff(11836,plain,
% 3.55/3.70 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.55/3.70 inference(rewrite,[status(thm)],[])).
% 3.55/3.70 tff(11837,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.55/3.70 inference(monotonicity,[status(thm)],[11836])).
% 3.55/3.70 tff(11838,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.55/3.70 inference(transitivity,[status(thm)],[11837, 11835])).
% 3.55/3.70 tff(11839,plain,
% 3.55/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.55/3.70 inference(quant_inst,[status(thm)],[])).
% 3.55/3.70 tff(11840,plain,
% 3.55/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.55/3.70 inference(modus_ponens,[status(thm)],[11839, 11838])).
% 3.55/3.70 tff(11841,plain,
% 3.55/3.70 ($false),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11840, 213, 284, 11834, 203, 4])).
% 3.55/3.70 tff(11842,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.70 tff(11843,plain,
% 3.55/3.70 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11842, 11829, 4, 117, 11820, 14])).
% 3.55/3.70 tff(11844,plain,
% 3.55/3.70 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[153, 11843])).
% 3.55/3.70 tff(11845,plain,
% 3.55/3.70 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[9460, 11844, 14, 11820])).
% 3.55/3.70 tff(11846,plain,
% 3.55/3.70 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[233, 11845])).
% 3.55/3.70 tff(11847,plain,
% 3.55/3.70 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[9384, 11846, 4, 3771])).
% 3.55/3.70 tff(11848,plain,
% 3.55/3.70 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[450, 11847])).
% 3.55/3.70 tff(11849,plain,
% 3.55/3.70 ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11744, 76, 117, 11820, 14])).
% 3.55/3.70 tff(11850,plain,
% 3.55/3.70 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11849, 11848])).
% 3.55/3.70 tff(11851,plain,
% 3.55/3.70 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[250, 11850])).
% 3.55/3.70 tff(11852,plain,
% 3.55/3.70 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[4594, 76, 11848, 11827, 11818])).
% 3.55/3.70 tff(11853,plain,
% 3.55/3.70 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[1042, 11852])).
% 3.55/3.70 tff(11854,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.70 inference(rewrite,[status(thm)],[])).
% 3.55/3.70 tff(11855,plain,
% 3.55/3.70 (((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.70 inference(rewrite,[status(thm)],[])).
% 3.55/3.70 tff(11856,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.55/3.70 inference(monotonicity,[status(thm)],[11855])).
% 3.55/3.70 tff(11857,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.70 inference(transitivity,[status(thm)],[11856, 11854])).
% 3.55/3.70 tff(11858,plain,
% 3.55/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.70 inference(quant_inst,[status(thm)],[])).
% 3.55/3.70 tff(11859,plain,
% 3.55/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.55/3.70 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 3.55/3.70 tff(11860,plain,
% 3.55/3.70 ($false),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11859, 213, 5015, 11853, 1065, 11851, 11810, 11846])).
% 3.55/3.70 tff(11861,plain,((~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.70 tff(11862,plain,
% 3.55/3.70 ((~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11861, 10954])).
% 3.55/3.70 tff(11863,plain,
% 3.55/3.70 (~b(s(z), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11862, 11722, 11589, 11655, 11591, 11718])).
% 3.55/3.70 tff(11864,plain,
% 3.55/3.70 (r(s(z), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[3759, 11863])).
% 3.55/3.70 tff(11865,plain,
% 3.55/3.70 (~r(s(s(s(s(z)))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[3355, 11864, 16, 11716])).
% 3.55/3.70 tff(11866,plain,
% 3.55/3.70 (b(s(s(s(s(z)))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[170, 11865])).
% 3.55/3.70 tff(11867,plain,
% 3.55/3.70 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[10117, 11866, 11718, 11864, 16, 11591, 11716])).
% 3.55/3.70 tff(11868,plain,
% 3.55/3.70 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[610, 11867])).
% 3.55/3.70 tff(11869,plain,
% 3.55/3.70 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[8470, 11868, 11589, 3])).
% 3.55/3.70 tff(11870,plain,
% 3.55/3.70 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[484, 11869])).
% 3.55/3.70 tff(11871,plain,
% 3.55/3.70 (~r(s(s(s(z))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11416, 11720, 11655])).
% 3.55/3.70 tff(11872,plain,
% 3.55/3.70 (b(s(s(s(z))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[2303, 11871])).
% 3.55/3.70 tff(11873,plain,
% 3.55/3.70 (~r(s(s(s(z))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11702, 11872, 1027, 11591, 16, 11718])).
% 3.55/3.70 tff(11874,plain,
% 3.55/3.70 (b(s(s(s(z))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[535, 11873])).
% 3.55/3.70 tff(11875,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.70 inference(rewrite,[status(thm)],[])).
% 3.55/3.70 tff(11876,plain,
% 3.55/3.70 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.70 inference(rewrite,[status(thm)],[])).
% 3.55/3.70 tff(11877,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 3.55/3.70 inference(monotonicity,[status(thm)],[11876])).
% 3.55/3.70 tff(11878,plain,
% 3.55/3.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.70 inference(transitivity,[status(thm)],[11877, 11875])).
% 3.55/3.70 tff(11879,plain,
% 3.55/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.55/3.70 inference(quant_inst,[status(thm)],[])).
% 3.55/3.70 tff(11880,plain,
% 3.55/3.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 3.55/3.70 inference(modus_ponens,[status(thm)],[11879, 11878])).
% 3.55/3.70 tff(11881,plain,
% 3.55/3.70 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11880, 213, 11868, 3, 11874, 11589])).
% 3.55/3.70 tff(11882,plain,
% 3.55/3.70 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[653, 11881])).
% 3.55/3.70 tff(11883,plain,
% 3.55/3.70 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[8013, 213, 3, 11874, 11589])).
% 3.55/3.70 tff(11884,plain,
% 3.55/3.70 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[1042, 11883])).
% 3.55/3.70 tff(11885,plain,
% 3.55/3.70 ($false),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[7817, 76, 11655, 11884, 11882, 11870])).
% 3.55/3.70 tff(11886,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.70 tff(11887,plain,
% 3.55/3.70 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11886, 1027, 16, 3, 468])).
% 3.55/3.70 tff(11888,plain,
% 3.55/3.70 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[153, 11887])).
% 3.55/3.70 tff(11889,plain,
% 3.55/3.70 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[2230, 76, 16, 11655, 11888, 1027])).
% 3.55/3.70 tff(11890,plain,
% 3.55/3.70 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[2750, 11889])).
% 3.55/3.70 tff(11891,plain,
% 3.55/3.70 (~r(s(s(s(s(z)))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11616, 350, 16, 11888])).
% 3.55/3.70 tff(11892,plain,
% 3.55/3.70 (b(s(s(s(s(z)))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[170, 11891])).
% 3.55/3.70 tff(11893,plain,
% 3.55/3.70 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11416, 2296, 11])).
% 3.55/3.70 tff(11894,plain,
% 3.55/3.70 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[233, 11893])).
% 3.55/3.70 tff(11895,plain,
% 3.55/3.70 (~b(s(z), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[9384, 11894, 4, 3])).
% 3.55/3.70 tff(11896,plain,
% 3.55/3.70 (r(s(z), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[3759, 11895])).
% 3.55/3.70 tff(11897,plain,
% 3.55/3.70 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11526, 2296, 11, 6])).
% 3.55/3.70 tff(11898,plain,
% 3.55/3.70 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[1871, 11897])).
% 3.55/3.70 tff(11899,plain,
% 3.55/3.70 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[5346, 11898, 468, 2305])).
% 3.55/3.70 tff(11900,plain,
% 3.55/3.70 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[1042, 11899])).
% 3.55/3.70 tff(11901,plain,
% 3.55/3.70 (~b(z, s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11454, 11900, 11898, 2305])).
% 3.55/3.70 tff(11902,plain,
% 3.55/3.70 (r(z, s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[5013, 11901])).
% 3.55/3.70 tff(11903,plain,
% 3.55/3.70 (~r(s(z), s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[7779, 11902, 1027, 2296, 11896])).
% 3.55/3.70 tff(11904,plain,
% 3.55/3.70 (b(s(z), s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[796, 11903])).
% 3.55/3.70 tff(11905,plain,
% 3.55/3.70 (~b(s(s(s(z))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[2745, 11904, 11898, 2305])).
% 3.55/3.70 tff(11906,plain,
% 3.55/3.70 (r(s(s(s(z))), s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[535, 11905])).
% 3.55/3.70 tff(11907,plain,
% 3.55/3.70 (~r(z, s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[2775, 11906, 2296, 11896])).
% 3.55/3.70 tff(11908,plain,
% 3.55/3.70 (b(z, s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[370, 11907])).
% 3.55/3.70 tff(11909,plain,
% 3.55/3.70 ($false),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11628, 213, 11908, 3, 4, 11894])).
% 3.55/3.70 tff(11910,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.70 tff(11911,plain,
% 3.55/3.70 (~r(s(s(s(z))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11910, 11890, 11589, 3, 1027, 468, 11655, 11888])).
% 3.55/3.70 tff(11912,plain,
% 3.55/3.70 (b(s(s(s(z))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[2303, 11911])).
% 3.55/3.70 tff(11913,plain,
% 3.55/3.70 (~b(z, s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[2313, 11892, 11890, 11912])).
% 3.55/3.70 tff(11914,plain,
% 3.55/3.70 (r(z, s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[581, 11913])).
% 3.55/3.70 tff(11915,plain,
% 3.55/3.70 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[8024, 11914, 11589, 1027, 350, 3])).
% 3.55/3.70 tff(11916,plain,
% 3.55/3.70 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[233, 11915])).
% 3.55/3.70 tff(11917,plain,
% 3.55/3.70 (~r(z, s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[7283, 11914, 1027, 16, 350])).
% 3.55/3.70 tff(11918,plain,
% 3.55/3.70 (b(z, s(s(s(s(z)))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[5013, 11917])).
% 3.55/3.70 tff(11919,plain,
% 3.55/3.70 ($false),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11575, 11918, 11916, 468, 11892])).
% 3.55/3.70 tff(11920,plain,((~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.70 tff(11921,plain,
% 3.55/3.70 (~r(z, s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11920, 1027, 468, 16, 3])).
% 3.55/3.70 tff(11922,plain,
% 3.55/3.70 (b(z, s(z))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[370, 11921])).
% 3.55/3.70 tff(11923,plain,
% 3.55/3.70 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11628, 213, 11922, 3, 11589])).
% 3.55/3.70 tff(11924,plain,
% 3.55/3.70 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[233, 11923])).
% 3.55/3.70 tff(11925,plain,
% 3.55/3.70 (~r(s(s(s(s(z)))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[11631, 11924, 11888])).
% 3.55/3.70 tff(11926,plain,
% 3.55/3.70 (b(s(s(s(s(z)))), z)),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[170, 11925])).
% 3.55/3.70 tff(11927,plain,
% 3.55/3.70 (~b(z, s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[2313, 11926, 11890, 11912])).
% 3.55/3.70 tff(11928,plain,
% 3.55/3.70 (r(z, s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[581, 11927])).
% 3.55/3.70 tff(11929,plain,
% 3.55/3.70 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.70 inference(unit_resolution,[status(thm)],[3157, 11928, 11655, 11924])).
% 3.55/3.70 tff(11930,plain,
% 3.55/3.71 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1042, 11929])).
% 3.55/3.71 tff(11931,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[5346, 11930, 468, 11890])).
% 3.55/3.71 tff(11932,plain,
% 3.55/3.71 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1871, 11931])).
% 3.55/3.71 tff(11933,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11667, 11922, 3, 11589, 11912])).
% 3.55/3.71 tff(11934,plain,
% 3.55/3.71 (r(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[535, 11933])).
% 3.55/3.71 tff(11935,plain,
% 3.55/3.71 (~r(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11248, 11932, 11934, 16])).
% 3.55/3.71 tff(11936,plain,
% 3.55/3.71 (b(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[796, 11935])).
% 3.55/3.71 tff(11937,plain,
% 3.55/3.71 (~b(z, s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[10970, 11936, 468, 11926, 3])).
% 3.55/3.71 tff(11938,plain,
% 3.55/3.71 (r(z, s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[5013, 11937])).
% 3.55/3.71 tff(11939,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3049, 76, 11938, 11888, 11924, 11928, 11932])).
% 3.55/3.71 tff(11940,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(11941,plain,
% 3.55/3.71 (~r(s(z), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11940, 468, 3, 16])).
% 3.55/3.71 tff(11942,plain,
% 3.55/3.71 (b(s(z), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[564, 11941])).
% 3.55/3.71 tff(11943,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[10679, 11942, 3, 11589])).
% 3.55/3.71 tff(11944,plain,
% 3.55/3.71 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[596, 11943])).
% 3.55/3.71 tff(11945,plain,
% 3.55/3.71 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11416, 2296, 11944])).
% 3.55/3.71 tff(11946,plain,
% 3.55/3.71 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[233, 11945])).
% 3.55/3.71 tff(11947,plain,
% 3.55/3.71 (~b(s(z), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[9384, 11946, 11589, 3])).
% 3.55/3.71 tff(11948,plain,
% 3.55/3.71 (r(s(z), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3759, 11947])).
% 3.55/3.71 tff(11949,plain,
% 3.55/3.71 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.55/3.71 inference(rewrite,[status(thm)],[])).
% 3.55/3.71 tff(11950,plain,
% 3.55/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))))),
% 3.55/3.71 inference(monotonicity,[status(thm)],[11949])).
% 3.55/3.71 tff(11951,plain,
% 3.55/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.55/3.71 inference(transitivity,[status(thm)],[11950, 11623])).
% 3.55/3.71 tff(11952,plain,
% 3.55/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))),
% 3.55/3.71 inference(quant_inst,[status(thm)],[])).
% 3.55/3.71 tff(11953,plain,
% 3.55/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.55/3.71 inference(modus_ponens,[status(thm)],[11952, 11951])).
% 3.55/3.71 tff(11954,plain,
% 3.55/3.71 (~b(z, s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11953, 213, 3, 11589, 11946])).
% 3.55/3.71 tff(11955,plain,
% 3.55/3.71 (r(z, s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[370, 11954])).
% 3.55/3.71 tff(11956,plain,
% 3.55/3.71 (~r(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2775, 11955, 2296, 11948])).
% 3.55/3.71 tff(11957,plain,
% 3.55/3.71 (b(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[535, 11956])).
% 3.55/3.71 tff(11958,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[10699, 11957, 11589, 11942])).
% 3.55/3.71 tff(11959,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1042, 11958])).
% 3.55/3.71 tff(11960,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3355, 11955, 16, 11948])).
% 3.55/3.71 tff(11961,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[170, 11960])).
% 3.55/3.71 tff(11962,plain,
% 3.55/3.71 (~b(z, s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11575, 11961, 468, 11946])).
% 3.55/3.71 tff(11963,plain,
% 3.55/3.71 (r(z, s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[5013, 11962])).
% 3.55/3.71 tff(11964,plain,
% 3.55/3.71 (~r(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[358, 11963, 16, 11955])).
% 3.55/3.71 tff(11965,plain,
% 3.55/3.71 (b(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[796, 11964])).
% 3.55/3.71 tff(11966,plain,
% 3.55/3.71 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[790, 11965, 468, 3])).
% 3.55/3.71 tff(11967,plain,
% 3.55/3.71 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[153, 11966])).
% 3.55/3.71 tff(11968,plain,
% 3.55/3.71 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[9035, 11965, 16, 11942, 2296, 11963])).
% 3.55/3.71 tff(11969,plain,
% 3.55/3.71 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2750, 11968])).
% 3.55/3.71 tff(11970,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2684, 11969, 11967, 11944, 11959])).
% 3.55/3.71 tff(11971,plain,((~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(11972,plain,
% 3.55/3.71 (~r(s(s(s(z))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11971, 468, 16, 3])).
% 3.55/3.71 tff(11973,plain,
% 3.55/3.71 (b(s(s(s(z))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2303, 11972])).
% 3.55/3.71 tff(11974,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[10699, 1507, 4, 856])).
% 3.55/3.71 tff(11975,plain,
% 3.55/3.71 (r(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[535, 11974])).
% 3.55/3.71 tff(11976,plain,
% 3.55/3.71 (~b(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[10243, 1507, 468, 856, 1016, 4, 5015])).
% 3.55/3.71 tff(11977,plain,
% 3.55/3.71 (r(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[796, 11976])).
% 3.55/3.71 tff(11978,plain,
% 3.55/3.71 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11248, 11977, 11975, 16])).
% 3.55/3.71 tff(11979,plain,
% 3.55/3.71 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1871, 11978])).
% 3.55/3.71 tff(11980,plain,
% 3.55/3.71 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[7745, 11979, 468, 1507])).
% 3.55/3.71 tff(11981,plain,
% 3.55/3.71 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[153, 11980])).
% 3.55/3.71 tff(11982,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11616, 11981, 16, 350])).
% 3.55/3.71 tff(11983,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[170, 11982])).
% 3.55/3.71 tff(11984,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[9232, 213, 5015, 11983, 1016, 11979])).
% 3.55/3.71 tff(11985,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(11986,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11985, 350, 11973, 16, 5015, 468, 11942, 11589])).
% 3.55/3.71 tff(11987,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1042, 11986])).
% 3.55/3.71 tff(11988,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2684, 11987, 11944, 2410])).
% 3.55/3.71 tff(11989,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[153, 11988])).
% 3.55/3.71 tff(11990,plain,
% 3.55/3.71 (~b(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3405, 11989, 468, 11589])).
% 3.55/3.71 tff(11991,plain,
% 3.55/3.71 (r(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[796, 11990])).
% 3.55/3.71 tff(11992,plain,
% 3.55/3.71 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11491, 213, 5015, 468, 11989])).
% 3.55/3.71 tff(11993,plain,
% 3.55/3.71 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[233, 11992])).
% 3.55/3.71 tff(11994,plain,
% 3.55/3.71 (~r(z, s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3157, 11993, 11944, 11987])).
% 3.55/3.71 tff(11995,plain,
% 3.55/3.71 (b(z, s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[581, 11994])).
% 3.55/3.71 tff(11996,plain,
% 3.55/3.71 (~b(s(z), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[6460, 11995, 11942, 11973])).
% 3.55/3.71 tff(11997,plain,
% 3.55/3.71 (r(s(z), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3759, 11996])).
% 3.55/3.71 tff(11998,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3355, 11997, 16, 350])).
% 3.55/3.71 tff(11999,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[170, 11998])).
% 3.55/3.71 tff(12000,plain,
% 3.55/3.71 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[10117, 11999, 5015, 11997, 16, 11991, 350])).
% 3.55/3.71 tff(12001,plain,
% 3.55/3.71 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[610, 12000])).
% 3.55/3.71 tff(12002,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[8470, 12001, 11589, 3])).
% 3.55/3.71 tff(12003,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[484, 12002])).
% 3.55/3.71 tff(12004,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[8460, 12001, 11588, 3])).
% 3.55/3.71 tff(12005,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[436, 12004])).
% 3.55/3.71 tff(12006,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[5418, 11999, 5015, 11995])).
% 3.55/3.71 tff(12007,plain,
% 3.55/3.71 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1871, 12006])).
% 3.55/3.71 tff(12008,plain,
% 3.55/3.71 (~r(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11248, 12007, 11991, 16])).
% 3.55/3.71 tff(12009,plain,
% 3.55/3.71 (b(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[535, 12008])).
% 3.55/3.71 tff(12010,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[8460, 281, 3412, 3])).
% 3.55/3.71 tff(12011,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[436, 12010])).
% 3.55/3.71 tff(12012,plain,
% 3.55/3.71 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[849, 76, 11, 598, 12011])).
% 3.55/3.71 tff(12013,plain,
% 3.55/3.71 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[853, 110, 12012, 3644])).
% 3.55/3.71 tff(12014,plain,
% 3.55/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.71 inference(rewrite,[status(thm)],[])).
% 3.55/3.71 tff(12015,plain,
% 3.55/3.71 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.71 inference(rewrite,[status(thm)],[])).
% 3.55/3.71 tff(12016,plain,
% 3.55/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.55/3.71 inference(monotonicity,[status(thm)],[12015])).
% 3.55/3.71 tff(12017,plain,
% 3.55/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.71 inference(transitivity,[status(thm)],[12016, 12014])).
% 3.55/3.71 tff(12018,plain,
% 3.55/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.71 inference(quant_inst,[status(thm)],[])).
% 3.55/3.71 tff(12019,plain,
% 3.55/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.55/3.71 inference(modus_ponens,[status(thm)],[12018, 12017])).
% 3.55/3.71 tff(12020,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12019, 213, 281, 856, 8, 2812, 12013, 1016])).
% 3.55/3.71 tff(12021,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | r(s(z), s(s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(12022,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12021, 12009, 11588, 11942, 11973, 12001, 11944, 12003, 3])).
% 3.55/3.71 tff(12023,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[627, 12022])).
% 3.55/3.71 tff(12024,plain,
% 3.55/3.71 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11025, 12023, 12005])).
% 3.55/3.71 tff(12025,plain,
% 3.55/3.71 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[819, 12024])).
% 3.55/3.71 tff(12026,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[9476, 12025, 11999, 5015])).
% 3.55/3.71 tff(12027,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[316, 12026])).
% 3.55/3.71 tff(12028,plain,
% 3.55/3.71 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[5873, 12027, 11944, 12007, 12005])).
% 3.55/3.71 tff(12029,plain,
% 3.55/3.71 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[4243, 12028])).
% 3.55/3.71 tff(12030,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11029, 12029, 11995, 12005])).
% 3.55/3.71 tff(12031,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[653, 12030])).
% 3.55/3.71 tff(12032,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3341, 76, 11944, 11987, 12031, 12003])).
% 3.55/3.71 tff(12033,plain,((~r(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(12034,plain,
% 3.55/3.71 (~r(z, s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12033, 2410, 3, 16, 468, 5015])).
% 3.55/3.71 tff(12035,plain,
% 3.55/3.71 (b(z, s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[370, 12034])).
% 3.55/3.71 tff(12036,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11667, 12035, 3, 11589, 11973])).
% 3.55/3.71 tff(12037,plain,
% 3.55/3.71 (r(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[535, 12036])).
% 3.55/3.71 tff(12038,plain,
% 3.55/3.71 (~b(s(z), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3821, 12035, 11942, 11973])).
% 3.55/3.71 tff(12039,plain,
% 3.55/3.71 (r(s(z), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3759, 12038])).
% 3.55/3.71 tff(12040,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3633, 12037, 16, 2410, 12039])).
% 3.55/3.71 tff(12041,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[170, 12040])).
% 3.55/3.71 tff(12042,plain,
% 3.55/3.71 (~b(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[10970, 12041, 468, 5015, 3])).
% 3.55/3.71 tff(12043,plain,
% 3.55/3.71 (r(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[796, 12042])).
% 3.55/3.71 tff(12044,plain,
% 3.55/3.71 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11248, 12043, 12037, 16])).
% 3.55/3.71 tff(12045,plain,
% 3.55/3.71 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1871, 12044])).
% 3.55/3.71 tff(12046,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[9232, 213, 5015, 12041, 11973, 12045])).
% 3.55/3.71 tff(12047,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(12048,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12047, 5015, 16, 468, 3])).
% 3.55/3.71 tff(12049,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2750, 12048])).
% 3.55/3.71 tff(12050,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[5644, 12049, 5015, 11973])).
% 3.55/3.71 tff(12051,plain,
% 3.55/3.71 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1871, 12050])).
% 3.55/3.71 tff(12052,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11667, 1, 3, 11589, 11973])).
% 3.55/3.71 tff(12053,plain,
% 3.55/3.71 (r(s(s(s(z))), s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[535, 12052])).
% 3.55/3.71 tff(12054,plain,
% 3.55/3.71 (~r(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11248, 12053, 12051, 16])).
% 3.55/3.71 tff(12055,plain,
% 3.55/3.71 (b(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[796, 12054])).
% 3.55/3.71 tff(12056,plain,
% 3.55/3.71 (~b(z, s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[9099, 12049, 5015, 11973])).
% 3.55/3.71 tff(12057,plain,
% 3.55/3.71 (r(z, s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[581, 12056])).
% 3.55/3.71 tff(12058,plain,
% 3.55/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.55/3.71 inference(rewrite,[status(thm)],[])).
% 3.55/3.71 tff(12059,plain,
% 3.55/3.71 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.55/3.71 inference(rewrite,[status(thm)],[])).
% 3.55/3.71 tff(12060,plain,
% 3.55/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.55/3.71 inference(monotonicity,[status(thm)],[12059])).
% 3.55/3.71 tff(12061,plain,
% 3.55/3.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.55/3.71 inference(transitivity,[status(thm)],[12060, 12058])).
% 3.55/3.71 tff(12062,plain,
% 3.55/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(quant_inst,[status(thm)],[])).
% 3.55/3.71 tff(12063,plain,
% 3.55/3.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.55/3.71 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 3.55/3.71 tff(12064,plain,
% 3.55/3.71 ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12063, 213, 5015, 3, 468, 11589])).
% 3.55/3.71 tff(12065,plain,
% 3.55/3.71 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12064, 1])).
% 3.55/3.71 tff(12066,plain,
% 3.55/3.71 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[233, 12065])).
% 3.55/3.71 tff(12067,plain,
% 3.55/3.71 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3157, 12066, 11944, 12057])).
% 3.55/3.71 tff(12068,plain,
% 3.55/3.71 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1042, 12067])).
% 3.55/3.71 tff(12069,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[10243, 12068, 12055, 468, 11942, 11973, 11589, 5015])).
% 3.55/3.71 tff(12070,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(12071,plain,
% 3.55/3.71 (~b(z, s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12070, 5015, 468, 16, 3])).
% 3.55/3.71 tff(12072,plain,
% 3.55/3.71 (r(z, s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[370, 12071])).
% 3.55/3.71 tff(12073,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11985, 12072, 11973, 16, 5015, 468, 11942, 11589])).
% 3.55/3.71 tff(12074,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1042, 12073])).
% 3.55/3.71 tff(12075,plain,
% 3.55/3.71 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3157, 12074, 11944, 12057])).
% 3.55/3.71 tff(12076,plain,
% 3.55/3.71 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[233, 12075])).
% 3.55/3.71 tff(12077,plain,
% 3.55/3.71 (~b(s(z), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[9384, 12076, 11589, 3])).
% 3.55/3.71 tff(12078,plain,
% 3.55/3.71 (r(s(z), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3759, 12077])).
% 3.55/3.71 tff(12079,plain,
% 3.55/3.71 (~b(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11575, 12076, 468, 5015])).
% 3.55/3.71 tff(12080,plain,
% 3.55/3.71 (r(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[170, 12079])).
% 3.55/3.71 tff(12081,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3355, 12080, 12078, 16, 12072])).
% 3.55/3.71 tff(12082,plain,((~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(12083,plain,
% 3.55/3.71 (~b(z, s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12082, 468, 16, 3])).
% 3.55/3.71 tff(12084,plain,
% 3.55/3.71 (r(z, s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[5013, 12083])).
% 3.55/3.71 tff(12085,plain,
% 3.55/3.71 (~b(z, s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[8785, 1, 11942, 11973])).
% 3.55/3.71 tff(12086,plain,
% 3.55/3.71 (r(z, s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[581, 12085])).
% 3.55/3.71 tff(12087,plain,
% 3.55/3.71 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3157, 11657, 11944, 12086])).
% 3.55/3.71 tff(12088,plain,
% 3.55/3.71 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1042, 12087])).
% 3.55/3.71 tff(12089,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[8119, 76, 10, 11, 738, 691, 2410])).
% 3.55/3.71 tff(12090,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(12091,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12090, 11657, 11944, 12084, 12086])).
% 3.55/3.71 tff(12092,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2750, 12091])).
% 3.55/3.71 tff(12093,plain,
% 3.55/3.71 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[5346, 12092, 468, 12088])).
% 3.55/3.71 tff(12094,plain,
% 3.55/3.71 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1871, 12093])).
% 3.55/3.71 tff(12095,plain,
% 3.55/3.71 (~r(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11248, 12094, 12053, 16])).
% 3.55/3.71 tff(12096,plain,
% 3.55/3.71 (b(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[796, 12095])).
% 3.55/3.71 tff(12097,plain,
% 3.55/3.71 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[790, 12096, 468, 3])).
% 3.55/3.71 tff(12098,plain,
% 3.55/3.71 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[153, 12097])).
% 3.55/3.71 tff(12099,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3049, 76, 12084, 12098, 11657, 12086, 12094])).
% 3.55/3.71 tff(12100,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(12101,plain,
% 3.55/3.71 (~b(z, s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12100, 468, 3, 16])).
% 3.55/3.71 tff(12102,plain,
% 3.55/3.71 (r(z, s(z))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[370, 12101])).
% 3.55/3.71 tff(12103,plain,
% 3.55/3.71 (~r(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[358, 12102, 16, 12084])).
% 3.55/3.71 tff(12104,plain,
% 3.55/3.71 (b(s(z), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[796, 12103])).
% 3.55/3.71 tff(12105,plain,
% 3.55/3.71 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[790, 12104, 468, 3])).
% 3.55/3.71 tff(12106,plain,
% 3.55/3.71 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[153, 12105])).
% 3.55/3.71 tff(12107,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11616, 12106, 16, 12102])).
% 3.55/3.71 tff(12108,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), z)),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[170, 12107])).
% 3.55/3.71 tff(12109,plain,
% 3.55/3.71 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2313, 1065, 191, 1016])).
% 3.55/3.71 tff(12110,plain,
% 3.55/3.71 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2750, 12109])).
% 3.55/3.71 tff(12111,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[9049, 1065, 856, 191, 782, 468, 4])).
% 3.55/3.71 tff(12112,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1042, 12111])).
% 3.55/3.71 tff(12113,plain,
% 3.55/3.71 ($false),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2684, 12112, 12110, 11, 6])).
% 3.55/3.71 tff(12114,plain,((~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.71 tff(12115,plain,
% 3.55/3.71 (~b(z, s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[12114, 11944, 12106, 11942, 12108, 12104, 468, 11589, 11973])).
% 3.55/3.71 tff(12116,plain,
% 3.55/3.71 (r(z, s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[581, 12115])).
% 3.55/3.71 tff(12117,plain,
% 3.55/3.71 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11264, 12116, 16, 12084, 12102])).
% 3.55/3.71 tff(12118,plain,
% 3.55/3.71 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1871, 12117])).
% 3.55/3.71 tff(12119,plain,
% 3.55/3.71 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2357, 12118, 11942, 12104])).
% 3.55/3.71 tff(12120,plain,
% 3.55/3.71 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2750, 12119])).
% 3.55/3.71 tff(12121,plain,
% 3.55/3.71 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[11264, 691, 16, 12084, 12102])).
% 3.55/3.71 tff(12122,plain,
% 3.55/3.71 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[1871, 12121])).
% 3.55/3.71 tff(12123,plain,
% 3.55/3.71 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[3417, 3412])).
% 3.55/3.71 tff(12124,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[8470, 281, 12123, 3])).
% 3.55/3.71 tff(12125,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[484, 12124])).
% 3.55/3.71 tff(12126,plain,
% 3.55/3.71 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[2251, 12125, 10956, 12011])).
% 3.55/3.71 tff(12127,plain,
% 3.55/3.71 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[338, 12126])).
% 3.55/3.71 tff(12128,plain,
% 3.55/3.71 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[4296, 12127, 3, 468, 782])).
% 3.55/3.71 tff(12129,plain,
% 3.55/3.71 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.71 inference(unit_resolution,[status(thm)],[316, 12128])).
% 3.55/3.72 tff(12130,plain,
% 3.55/3.72 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[8487, 12129, 10, 191, 10956, 12125, 12011])).
% 3.55/3.72 tff(12131,plain,
% 3.55/3.72 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[819, 12130])).
% 3.55/3.72 tff(12132,plain,
% 3.55/3.72 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[10679, 856, 3, 12123])).
% 3.55/3.72 tff(12133,plain,
% 3.55/3.72 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[596, 12132])).
% 3.55/3.72 tff(12134,plain,
% 3.55/3.72 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[10699, 8, 4, 856])).
% 3.55/3.72 tff(12135,plain,
% 3.55/3.72 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[1042, 12134])).
% 3.55/3.72 tff(12136,plain,
% 3.55/3.72 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[2700, 8, 856, 782])).
% 3.55/3.72 tff(12137,plain,
% 3.55/3.72 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[2750, 12136])).
% 3.55/3.72 tff(12138,plain,
% 3.55/3.72 ($false),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[2684, 12137, 12135, 11, 6])).
% 3.55/3.72 tff(12139,plain,((~b(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.72 tff(12140,plain,
% 3.55/3.72 (~b(s(s(s(z))), s(z))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[12139, 12133, 10956, 856, 782, 12123])).
% 3.55/3.72 tff(12141,plain,
% 3.55/3.72 (r(s(s(s(z))), s(z))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[535, 12140])).
% 3.55/3.72 tff(12142,plain,
% 3.55/3.72 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[849, 76, 12133, 12125, 12011])).
% 3.55/3.72 tff(12143,plain,
% 3.55/3.72 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[4243, 12142])).
% 3.55/3.72 tff(12144,plain,
% 3.55/3.72 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[7205, 12143, 856, 281])).
% 3.55/3.72 tff(12145,plain,
% 3.55/3.72 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[653, 12144])).
% 3.55/3.72 tff(12146,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12147,plain,
% 3.55/3.72 (((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12148,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.55/3.72 inference(monotonicity,[status(thm)],[12147])).
% 3.55/3.72 tff(12149,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(transitivity,[status(thm)],[12148, 12146])).
% 3.55/3.72 tff(12150,plain,
% 3.55/3.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(quant_inst,[status(thm)],[])).
% 3.55/3.72 tff(12151,plain,
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% 3.55/3.72 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 3.55/3.72 tff(12152,plain,
% 3.55/3.72 ($false),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[12151, 76, 350, 691, 12145, 12141, 12131])).
% 3.55/3.72 tff(12153,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | r(s(z), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.72 tff(12154,plain,
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% 3.55/3.72 tff(12155,plain,
% 3.55/3.72 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[610, 12154])).
% 3.55/3.72 tff(12156,plain,
% 3.55/3.72 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[917, 12155, 12102, 2])).
% 3.55/3.72 tff(12157,plain,
% 3.55/3.72 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[627, 12156])).
% 3.55/3.72 tff(12158,plain,
% 3.55/3.72 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[4296, 717, 3, 468, 782])).
% 3.55/3.72 tff(12159,plain,
% 3.55/3.72 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[338, 12158])).
% 3.55/3.72 tff(12160,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12161,plain,
% 3.55/3.72 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12162,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(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(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.55/3.72 inference(monotonicity,[status(thm)],[12161])).
% 3.55/3.72 tff(12163,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(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(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(transitivity,[status(thm)],[12162, 12160])).
% 3.55/3.72 tff(12164,plain,
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% 3.55/3.72 inference(quant_inst,[status(thm)],[])).
% 3.55/3.72 tff(12165,plain,
% 3.55/3.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.55/3.72 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 3.55/3.72 tff(12166,plain,
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% 3.55/3.72 inference(unit_resolution,[status(thm)],[12165, 76, 350, 10, 706, 689, 282])).
% 3.55/3.72 tff(12167,plain,((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.72 tff(12168,plain,
% 3.55/3.72 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[12167, 12159, 10, 706, 350])).
% 3.55/3.72 tff(12169,plain,
% 3.55/3.72 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[819, 12168])).
% 3.55/3.72 tff(12170,plain,
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% 3.55/3.72 tff(12171,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.72 tff(12172,plain,
% 3.55/3.72 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
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% 3.55/3.72 tff(12173,plain,
% 3.55/3.72 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[316, 12172])).
% 3.55/3.72 tff(12174,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12175,plain,
% 3.55/3.72 (((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(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(s(s(s(z)))))))))))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12176,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, 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(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.55/3.72 inference(monotonicity,[status(thm)],[12175])).
% 3.55/3.72 tff(12177,plain,
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% 3.55/3.72 inference(transitivity,[status(thm)],[12176, 12174])).
% 3.55/3.72 tff(12178,plain,
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% 3.55/3.72 inference(quant_inst,[status(thm)],[])).
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% 3.55/3.72 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 3.55/3.72 tff(12180,plain,
% 3.55/3.72 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.55/3.72 tff(12181,plain,
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% 3.55/3.72 inference(unit_resolution,[status(thm)],[819, 12180])).
% 3.55/3.72 tff(12182,plain,
% 3.55/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12183,plain,
% 3.55/3.72 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12184,plain,
% 3.55/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.55/3.72 inference(monotonicity,[status(thm)],[12183])).
% 3.55/3.72 tff(12185,plain,
% 3.55/3.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.72 inference(transitivity,[status(thm)],[12184, 12182])).
% 3.55/3.72 tff(12186,plain,
% 3.55/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.55/3.72 inference(quant_inst,[status(thm)],[])).
% 3.55/3.72 tff(12187,plain,
% 3.55/3.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.55/3.72 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 3.55/3.72 tff(12188,plain,
% 3.55/3.72 ($false),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[12187, 213, 12108, 12157, 11973, 12181, 12122])).
% 3.55/3.72 tff(12189,plain,((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.72 tff(12190,plain,
% 3.55/3.72 (~r(s(z), z)),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[12189, 12116, 3, 468, 16])).
% 3.55/3.72 tff(12191,plain,
% 3.55/3.72 (b(s(z), z)),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[3759, 12190])).
% 3.55/3.72 tff(12192,plain,
% 3.55/3.72 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[9384, 12191, 11589, 3])).
% 3.55/3.72 tff(12193,plain,
% 3.55/3.72 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[233, 12192])).
% 3.55/3.72 tff(12194,plain,
% 3.55/3.72 ($false),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[12090, 12193, 12120, 11944, 12084, 12116])).
% 3.55/3.72 tff(12195,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.72 tff(12196,plain,
% 3.55/3.72 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[12195, 3, 16])).
% 3.55/3.72 tff(12197,plain,
% 3.55/3.72 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[250, 12196])).
% 3.55/3.72 tff(12198,plain,
% 3.55/3.72 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[11416, 11, 2296])).
% 3.55/3.72 tff(12199,plain,
% 3.55/3.72 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[233, 12198])).
% 3.55/3.72 tff(12200,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12201,plain,
% 3.55/3.72 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.55/3.72 inference(rewrite,[status(thm)],[])).
% 3.55/3.72 tff(12202,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))))),
% 3.55/3.72 inference(monotonicity,[status(thm)],[12201])).
% 3.55/3.72 tff(12203,plain,
% 3.55/3.72 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.55/3.72 inference(transitivity,[status(thm)],[12202, 12200])).
% 3.55/3.72 tff(12204,plain,
% 3.55/3.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.55/3.72 inference(quant_inst,[status(thm)],[])).
% 3.55/3.72 tff(12205,plain,
% 3.55/3.72 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))),
% 3.55/3.72 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 3.55/3.72 tff(12206,plain,
% 3.55/3.72 ($false),
% 3.55/3.72 inference(unit_resolution,[status(thm)],[12205, 76, 11, 10954, 9, 12, 2296])).
% 3.55/3.72 tff(12207,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12208,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12207, 9, 11, 2296])).
% 3.55/3.73 tff(12209,plain,
% 3.55/3.73 (b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12208])).
% 3.55/3.73 tff(12210,plain,
% 3.55/3.73 (~r(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11146, 1028, 2296])).
% 3.55/3.73 tff(12211,plain,
% 3.55/3.73 (b(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[581, 12210])).
% 3.55/3.73 tff(12212,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.73 inference(rewrite,[status(thm)],[])).
% 3.55/3.73 tff(12213,plain,
% 3.55/3.73 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.73 inference(rewrite,[status(thm)],[])).
% 3.55/3.73 tff(12214,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.55/3.73 inference(monotonicity,[status(thm)],[12213])).
% 3.55/3.73 tff(12215,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.73 inference(transitivity,[status(thm)],[12214, 12212])).
% 3.55/3.73 tff(12216,plain,
% 3.55/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.73 inference(quant_inst,[status(thm)],[])).
% 3.55/3.73 tff(12217,plain,
% 3.55/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.55/3.73 inference(modus_ponens,[status(thm)],[12216, 12215])).
% 3.55/3.73 tff(12218,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12217, 76, 10, 5, 10954, 1028, 2296])).
% 3.55/3.73 tff(12219,plain,((~r(s(s(s(z))), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12220,plain,
% 3.55/3.73 (~r(z, s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12219, 1028, 12197, 2296])).
% 3.55/3.73 tff(12221,plain,
% 3.55/3.73 (b(z, s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[5013, 12220])).
% 3.55/3.73 tff(12222,plain,
% 3.55/3.73 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11798, 10954])).
% 3.55/3.73 tff(12223,plain,
% 3.55/3.73 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12222, 12221, 11, 2296, 1028, 12211])).
% 3.55/3.73 tff(12224,plain,
% 3.55/3.73 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[153, 12223])).
% 3.55/3.73 tff(12225,plain,
% 3.55/3.73 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[5463, 1027, 5, 9, 117])).
% 3.55/3.73 tff(12226,plain,
% 3.55/3.73 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1042, 12225])).
% 3.55/3.73 tff(12227,plain,
% 3.55/3.73 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[7701, 1027, 16, 155, 2296])).
% 3.55/3.73 tff(12228,plain,
% 3.55/3.73 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2750, 12227])).
% 3.55/3.73 tff(12229,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11454, 12228, 5015, 12226])).
% 3.55/3.73 tff(12230,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[6435, 12226, 117, 9, 1027])).
% 3.55/3.73 tff(12231,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1871, 12230, 12229])).
% 3.55/3.73 tff(12232,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12233,plain,
% 3.55/3.73 (~r(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12232, 2296, 9, 5015, 12197, 16, 155, 117])).
% 3.55/3.73 tff(12234,plain,
% 3.55/3.73 (b(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[564, 12233])).
% 3.55/3.73 tff(12235,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.55/3.73 inference(rewrite,[status(thm)],[])).
% 3.55/3.73 tff(12236,plain,
% 3.55/3.73 (((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.55/3.73 inference(rewrite,[status(thm)],[])).
% 3.55/3.73 tff(12237,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(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(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.55/3.73 inference(monotonicity,[status(thm)],[12236])).
% 3.55/3.73 tff(12238,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(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(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.55/3.73 inference(transitivity,[status(thm)],[12237, 12235])).
% 3.55/3.73 tff(12239,plain,
% 3.55/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.55/3.73 inference(quant_inst,[status(thm)],[])).
% 3.55/3.73 tff(12240,plain,
% 3.55/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.55/3.73 inference(modus_ponens,[status(thm)],[12239, 12238])).
% 3.55/3.73 tff(12241,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12240, 76, 155, 5, 14, 1028, 691])).
% 3.55/3.73 tff(12242,plain,((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12243,plain,
% 3.55/3.73 ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12242, 10954])).
% 3.55/3.73 tff(12244,plain,
% 3.55/3.73 (~r(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12243, 1028, 5, 155])).
% 3.55/3.73 tff(12245,plain,
% 3.55/3.73 (b(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[581, 12244])).
% 3.55/3.73 tff(12246,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[8680, 12245, 1, 856])).
% 3.55/3.73 tff(12247,plain,
% 3.55/3.73 (r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12246])).
% 3.55/3.73 tff(12248,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[6303, 12247, 117, 2296, 155])).
% 3.55/3.73 tff(12249,plain,
% 3.55/3.73 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1871, 12248])).
% 3.55/3.73 tff(12250,plain,
% 3.55/3.73 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11454, 12249, 5015, 1028])).
% 3.55/3.73 tff(12251,plain,
% 3.55/3.73 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2750, 12250])).
% 3.55/3.73 tff(12252,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.73 inference(rewrite,[status(thm)],[])).
% 3.55/3.73 tff(12253,plain,
% 3.55/3.73 (((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.73 inference(rewrite,[status(thm)],[])).
% 3.55/3.73 tff(12254,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.55/3.73 inference(monotonicity,[status(thm)],[12253])).
% 3.55/3.73 tff(12255,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.73 inference(transitivity,[status(thm)],[12254, 12252])).
% 3.55/3.73 tff(12256,plain,
% 3.55/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.55/3.73 inference(quant_inst,[status(thm)],[])).
% 3.55/3.73 tff(12257,plain,
% 3.55/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.55/3.73 inference(modus_ponens,[status(thm)],[12256, 12255])).
% 3.55/3.73 tff(12258,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12257, 76, 5, 10954, 1028, 12251, 2296])).
% 3.55/3.73 tff(12259,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12260,plain,
% 3.55/3.73 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12259, 2296, 12197, 5015, 117, 155, 1, 12234])).
% 3.55/3.73 tff(12261,plain,
% 3.55/3.73 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1042, 12260])).
% 3.55/3.73 tff(12262,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2366, 12261, 12234, 3])).
% 3.55/3.73 tff(12263,plain,
% 3.55/3.73 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[596, 12262])).
% 3.55/3.73 tff(12264,plain,
% 3.55/3.73 ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12205, 76, 10954, 9, 2296])).
% 3.55/3.73 tff(12265,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12264, 12263])).
% 3.55/3.73 tff(12266,plain,
% 3.55/3.73 (b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12265])).
% 3.55/3.73 tff(12267,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2761, 213, 3, 12261, 12234, 12266])).
% 3.55/3.73 tff(12268,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12269,plain,
% 3.55/3.73 (~r(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12268, 9, 3, 5015, 117, 155, 1, 16])).
% 3.55/3.73 tff(12270,plain,
% 3.55/3.73 (b(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2303, 12269])).
% 3.55/3.73 tff(12271,plain,
% 3.55/3.73 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[6417, 1027, 5, 9, 117])).
% 3.55/3.73 tff(12272,plain,
% 3.55/3.73 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2750, 12271])).
% 3.55/3.73 tff(12273,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[5644, 12272, 5015, 1016])).
% 3.55/3.73 tff(12274,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1871, 12230, 12273])).
% 3.55/3.73 tff(12275,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12276,plain,
% 3.55/3.73 (~r(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12275, 9, 117, 5015, 12270, 12197])).
% 3.55/3.73 tff(12277,plain,
% 3.55/3.73 (b(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[564, 12276])).
% 3.55/3.73 tff(12278,plain,
% 3.55/3.73 (~b(s(z), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[3821, 12277, 1, 12270])).
% 3.55/3.73 tff(12279,plain,
% 3.55/3.73 (r(s(z), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[3759, 12278])).
% 3.55/3.73 tff(12280,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[5269, 76, 12279, 117, 155, 12197, 9])).
% 3.55/3.73 tff(12281,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12282,plain,
% 3.55/3.73 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12281, 1, 155, 117, 5015, 3, 16])).
% 3.55/3.73 tff(12283,plain,
% 3.55/3.73 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[3417, 12282])).
% 3.55/3.73 tff(12284,plain,
% 3.55/3.73 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11628, 213, 1, 3, 12283])).
% 3.55/3.73 tff(12285,plain,
% 3.55/3.73 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[233, 12284])).
% 3.55/3.73 tff(12286,plain,
% 3.55/3.73 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[7701, 2296, 16, 155, 1027])).
% 3.55/3.73 tff(12287,plain,
% 3.55/3.73 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2750, 12286])).
% 3.55/3.73 tff(12288,plain,
% 3.55/3.73 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11631, 738, 155])).
% 3.55/3.73 tff(12289,plain,
% 3.55/3.73 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[153, 12288])).
% 3.55/3.73 tff(12290,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11416, 2296, 738])).
% 3.55/3.73 tff(12291,plain,
% 3.55/3.73 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[596, 12290])).
% 3.55/3.73 tff(12292,plain,
% 3.55/3.73 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[3458, 12291, 12289, 12287])).
% 3.55/3.73 tff(12293,plain,
% 3.55/3.73 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1042, 12292])).
% 3.55/3.73 tff(12294,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11454, 12293, 5015, 12287])).
% 3.55/3.73 tff(12295,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[7428, 12291, 4, 3])).
% 3.55/3.73 tff(12296,plain,
% 3.55/3.73 (r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12295])).
% 3.55/3.73 tff(12297,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[6303, 12296, 117, 2296, 155])).
% 3.55/3.73 tff(12298,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1871, 12297, 12294])).
% 3.55/3.73 tff(12299,plain,((~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12300,plain,
% 3.55/3.73 (~r(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12299, 1027, 155, 5015, 12283, 3, 12285, 16, 117])).
% 3.55/3.73 tff(12301,plain,
% 3.55/3.73 (b(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2303, 12300])).
% 3.55/3.73 tff(12302,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11667, 12301, 3, 1, 12283])).
% 3.55/3.73 tff(12303,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11702, 12301, 117, 5015, 16, 1027])).
% 3.55/3.73 tff(12304,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12303, 12302])).
% 3.55/3.73 tff(12305,plain,((~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12306,plain,
% 3.55/3.73 (~r(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12305, 1, 5015, 16, 3, 117, 155])).
% 3.55/3.73 tff(12307,plain,
% 3.55/3.73 (b(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[564, 12306])).
% 3.55/3.73 tff(12308,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[10679, 12307, 3, 12283])).
% 3.55/3.73 tff(12309,plain,
% 3.55/3.73 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[596, 12308])).
% 3.55/3.73 tff(12310,plain,
% 3.55/3.73 (~r(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11416, 12309, 12285])).
% 3.55/3.73 tff(12311,plain,
% 3.55/3.73 (b(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2303, 12310])).
% 3.55/3.73 tff(12312,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11667, 12311, 3, 1, 12283])).
% 3.55/3.73 tff(12313,plain,
% 3.55/3.73 (r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12312])).
% 3.55/3.73 tff(12314,plain,
% 3.55/3.73 (~b(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[8785, 12311, 1, 12307])).
% 3.55/3.73 tff(12315,plain,
% 3.55/3.73 (r(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[581, 12314])).
% 3.55/3.73 tff(12316,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[5617, 12315, 12313, 16, 117, 5015, 155, 12311])).
% 3.55/3.73 tff(12317,plain,((~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12318,plain,
% 3.55/3.73 (~b(z, s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12317, 155, 117, 5015, 16, 3])).
% 3.55/3.73 tff(12319,plain,
% 3.55/3.73 (r(z, s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[370, 12318])).
% 3.55/3.73 tff(12320,plain,
% 3.55/3.73 (~r(s(z), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[3355, 12319, 16, 155])).
% 3.55/3.73 tff(12321,plain,
% 3.55/3.73 (b(s(z), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[3759, 12320])).
% 3.55/3.73 tff(12322,plain,
% 3.55/3.73 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12232, 1027, 2296, 5015, 12197, 16, 155, 117])).
% 3.55/3.73 tff(12323,plain,
% 3.55/3.73 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[3417, 12322])).
% 3.55/3.73 tff(12324,plain,
% 3.55/3.73 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[9384, 12323, 12321, 3])).
% 3.55/3.73 tff(12325,plain,
% 3.55/3.73 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12299, 12323, 155, 5015, 2296, 3, 1027, 16, 117])).
% 3.55/3.73 tff(12326,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[233, 12325, 12324])).
% 3.55/3.73 tff(12327,plain,((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12328,plain,
% 3.55/3.73 (~r(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12327, 2296, 5015, 155, 3, 16, 117])).
% 3.55/3.73 tff(12329,plain,
% 3.55/3.73 (b(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[564, 12328])).
% 3.55/3.73 tff(12330,plain,
% 3.55/3.73 (~b(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[6470, 8, 3771, 856])).
% 3.55/3.73 tff(12331,plain,
% 3.55/3.73 (r(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[581, 12330])).
% 3.55/3.73 tff(12332,plain,
% 3.55/3.73 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12243, 12331, 5, 155])).
% 3.55/3.73 tff(12333,plain,
% 3.55/3.73 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1042, 12332])).
% 3.55/3.73 tff(12334,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2761, 213, 3, 12333, 856, 8])).
% 3.55/3.73 tff(12335,plain,((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12336,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12335, 12329, 3, 12197, 155, 12321])).
% 3.55/3.73 tff(12337,plain,
% 3.55/3.73 (r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12336])).
% 3.55/3.73 tff(12338,plain,
% 3.55/3.73 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[10575, 12337, 16, 155, 12319, 12321, 12329])).
% 3.55/3.73 tff(12339,plain,
% 3.55/3.73 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2750, 12338])).
% 3.55/3.73 tff(12340,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11248, 12337, 117, 16])).
% 3.55/3.73 tff(12341,plain,
% 3.55/3.73 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1871, 12340])).
% 3.55/3.73 tff(12342,plain,
% 3.55/3.73 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11454, 12341, 5015, 12339])).
% 3.55/3.73 tff(12343,plain,
% 3.55/3.73 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1042, 12342])).
% 3.55/3.73 tff(12344,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2366, 12343, 12329, 3])).
% 3.55/3.73 tff(12345,plain,
% 3.55/3.73 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[596, 12344])).
% 3.55/3.73 tff(12346,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.55/3.73 inference(rewrite,[status(thm)],[])).
% 3.55/3.73 tff(12347,plain,
% 3.55/3.73 (((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.55/3.73 inference(rewrite,[status(thm)],[])).
% 3.55/3.73 tff(12348,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, 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(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))))),
% 3.55/3.73 inference(monotonicity,[status(thm)],[12347])).
% 3.55/3.73 tff(12349,plain,
% 3.55/3.73 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, 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(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))))),
% 3.55/3.73 inference(transitivity,[status(thm)],[12348, 12346])).
% 3.55/3.73 tff(12350,plain,
% 3.55/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.73 inference(quant_inst,[status(thm)],[])).
% 3.55/3.73 tff(12351,plain,
% 3.55/3.73 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))),
% 3.55/3.73 inference(modus_ponens,[status(thm)],[12350, 12349])).
% 3.55/3.73 tff(12352,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12351, 76, 12319, 12345, 10954, 12337, 2296])).
% 3.55/3.73 tff(12353,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12354,plain,
% 3.55/3.73 (~r(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12353, 155, 5015, 16, 3, 117])).
% 3.55/3.73 tff(12355,plain,
% 3.55/3.73 (b(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2303, 12354])).
% 3.55/3.73 tff(12356,plain,
% 3.55/3.73 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12275, 1027, 117, 5015, 1016, 12197])).
% 3.55/3.73 tff(12357,plain,
% 3.55/3.73 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[3417, 12356])).
% 3.55/3.73 tff(12358,plain,
% 3.55/3.73 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[9384, 12357, 3771, 3])).
% 3.55/3.73 tff(12359,plain,
% 3.55/3.73 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[233, 12358])).
% 3.55/3.73 tff(12360,plain,
% 3.55/3.73 (~r(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[8215, 12359, 350, 1027, 12357])).
% 3.55/3.73 tff(12361,plain,
% 3.55/3.73 (~r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11702, 1027, 117, 5015, 16, 1016])).
% 3.55/3.73 tff(12362,plain,
% 3.55/3.73 (b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12361])).
% 3.55/3.73 tff(12363,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[7428, 12357, 12362, 3])).
% 3.55/3.73 tff(12364,plain,
% 3.55/3.73 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[596, 12363])).
% 3.55/3.73 tff(12365,plain,
% 3.55/3.73 (~b(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11862, 12364, 3771, 12357, 117, 5015])).
% 3.55/3.73 tff(12366,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[581, 12365, 12360])).
% 3.55/3.73 tff(12367,plain,((~r(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12368,plain,
% 3.55/3.73 (~r(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12367, 12321, 117, 5015, 12319, 3, 16, 12355])).
% 3.55/3.73 tff(12369,plain,
% 3.55/3.73 (b(s(z), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[564, 12368])).
% 3.55/3.73 tff(12370,plain,
% 3.55/3.73 (~b(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[6460, 12369, 12321, 12355])).
% 3.55/3.73 tff(12371,plain,
% 3.55/3.73 (r(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[581, 12370])).
% 3.55/3.73 tff(12372,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12335, 12369, 3, 12197, 155, 12321])).
% 3.55/3.73 tff(12373,plain,
% 3.55/3.73 (r(s(s(s(z))), s(z))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[535, 12372])).
% 3.55/3.73 tff(12374,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[5617, 12373, 12371, 16, 117, 5015, 155, 12355])).
% 3.55/3.73 tff(12375,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12376,plain,
% 3.55/3.73 (~r(s(s(s(s(z)))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12375, 5015, 117, 16, 3])).
% 3.55/3.73 tff(12377,plain,
% 3.55/3.73 (b(s(s(s(s(z)))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[170, 12376])).
% 3.55/3.73 tff(12378,plain,
% 3.55/3.73 ($false),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[9232, 213, 5015, 191, 1016, 2350])).
% 3.55/3.73 tff(12379,plain,((~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.73 tff(12380,plain,
% 3.55/3.73 (~b(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[12379, 11681, 12377, 5015])).
% 3.55/3.73 tff(12381,plain,
% 3.55/3.73 (r(s(s(s(z))), z)),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2303, 12380])).
% 3.55/3.73 tff(12382,plain,
% 3.55/3.73 (~b(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[5418, 11681, 5015, 12377])).
% 3.55/3.73 tff(12383,plain,
% 3.55/3.73 (r(z, s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[581, 12382])).
% 3.55/3.73 tff(12384,plain,
% 3.55/3.73 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[11146, 2296, 691])).
% 3.55/3.73 tff(12385,plain,
% 3.55/3.73 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[1042, 12384])).
% 3.55/3.73 tff(12386,plain,
% 3.55/3.73 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.73 inference(unit_resolution,[status(thm)],[2366, 12385, 856, 3])).
% 3.55/3.74 tff(12387,plain,
% 3.55/3.74 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[596, 12386])).
% 3.55/3.74 tff(12388,plain,
% 3.55/3.74 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11416, 12387, 2296])).
% 3.55/3.74 tff(12389,plain,
% 3.55/3.74 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[233, 12388])).
% 3.55/3.74 tff(12390,plain,
% 3.55/3.74 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12207, 12387, 12, 2296])).
% 3.55/3.74 tff(12391,plain,
% 3.55/3.74 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3417, 12390])).
% 3.55/3.74 tff(12392,plain,
% 3.55/3.74 (~b(s(z), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[9384, 12391, 12389, 3])).
% 3.55/3.74 tff(12393,plain,
% 3.55/3.74 (r(s(z), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3759, 12392])).
% 3.55/3.74 tff(12394,plain,
% 3.55/3.74 (~r(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[2775, 12393, 12, 2296])).
% 3.55/3.74 tff(12395,plain,
% 3.55/3.74 (b(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[370, 12394])).
% 3.55/3.74 tff(12396,plain,
% 3.55/3.74 ($false),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11628, 213, 12395, 3, 12391, 12389])).
% 3.55/3.74 tff(12397,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12398,plain,
% 3.55/3.74 (~b(s(z), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12397, 12381, 12, 3, 12383])).
% 3.55/3.74 tff(12399,plain,
% 3.55/3.74 (r(s(z), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[564, 12398])).
% 3.55/3.74 tff(12400,plain,
% 3.55/3.74 (~r(s(z), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[7931, 12399, 12383, 12381])).
% 3.55/3.74 tff(12401,plain,
% 3.55/3.74 (b(s(z), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3759, 12400])).
% 3.55/3.74 tff(12402,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11146, 12381, 12383])).
% 3.55/3.74 tff(12403,plain,
% 3.55/3.74 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[1042, 12402])).
% 3.55/3.74 tff(12404,plain,
% 3.55/3.74 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[5463, 12399, 12197, 12403, 117])).
% 3.55/3.74 tff(12405,plain,
% 3.55/3.74 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3417, 12404])).
% 3.55/3.74 tff(12406,plain,
% 3.55/3.74 (~b(z, s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11861, 11, 117, 14, 12123, 3771, 5015])).
% 3.55/3.74 tff(12407,plain,
% 3.55/3.74 (r(z, s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[581, 12406])).
% 3.55/3.74 tff(12408,plain,
% 3.55/3.74 (~b(s(s(s(s(z)))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11135, 1016, 5015, 3771, 117])).
% 3.55/3.74 tff(12409,plain,
% 3.55/3.74 (r(s(s(s(s(z)))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[170, 12408])).
% 3.55/3.74 tff(12410,plain,
% 3.55/3.74 (~r(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11615, 12409, 16, 6, 14])).
% 3.55/3.74 tff(12411,plain,
% 3.55/3.74 (b(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[370, 12410])).
% 3.55/3.74 tff(12412,plain,
% 3.55/3.74 (~b(s(z), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3821, 12411, 3771, 1016])).
% 3.55/3.74 tff(12413,plain,
% 3.55/3.74 (r(s(z), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[564, 12412])).
% 3.55/3.74 tff(12414,plain,
% 3.55/3.74 (~r(s(s(s(z))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11702, 12413, 5015, 117, 16, 1016])).
% 3.55/3.74 tff(12415,plain,
% 3.55/3.74 (b(s(s(s(z))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[535, 12414])).
% 3.55/3.74 tff(12416,plain,
% 3.55/3.74 ($false),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3890, 213, 3771, 12411, 12415, 1016])).
% 3.55/3.74 tff(12417,plain,((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12418,plain,
% 3.55/3.74 (~b(s(s(s(z))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12417, 6, 5015, 117, 16, 3771, 14])).
% 3.55/3.74 tff(12419,plain,
% 3.55/3.74 (r(s(s(s(z))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[2303, 12418])).
% 3.55/3.74 tff(12420,plain,
% 3.55/3.74 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11523, 76, 11, 6, 14, 12419])).
% 3.55/3.74 tff(12421,plain,
% 3.55/3.74 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[1871, 12420])).
% 3.55/3.74 tff(12422,plain,
% 3.55/3.74 (~b(z, s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11861, 11, 117, 14, 4, 3771, 5015])).
% 3.55/3.74 tff(12423,plain,
% 3.55/3.74 (r(z, s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[581, 12422])).
% 3.55/3.74 tff(12424,plain,
% 3.55/3.74 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11415, 12419, 14, 11])).
% 3.55/3.74 tff(12425,plain,
% 3.55/3.74 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[233, 12424])).
% 3.55/3.74 tff(12426,plain,
% 3.55/3.74 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[9384, 12425, 4, 3771])).
% 3.55/3.74 tff(12427,plain,
% 3.55/3.74 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[450, 12426])).
% 3.55/3.74 tff(12428,plain,
% 3.55/3.74 (~b(s(s(s(s(z)))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11802, 12427, 5015, 117, 12425, 3771])).
% 3.55/3.74 tff(12429,plain,
% 3.55/3.74 (r(s(s(s(s(z)))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[170, 12428])).
% 3.55/3.74 tff(12430,plain,
% 3.55/3.74 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3787, 76, 12429, 11, 6, 12423])).
% 3.55/3.74 tff(12431,plain,
% 3.55/3.74 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[550, 110, 12430])).
% 3.55/3.74 tff(12432,plain,
% 3.55/3.74 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12431, 540])).
% 3.55/3.74 tff(12433,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[461, 12427, 117, 16])).
% 3.55/3.74 tff(12434,plain,
% 3.55/3.74 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[250, 12433])).
% 3.55/3.74 tff(12435,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11143, 76, 14, 12423, 12419])).
% 3.55/3.74 tff(12436,plain,
% 3.55/3.74 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[1042, 12435])).
% 3.55/3.74 tff(12437,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[5344, 213, 12436, 12434, 12432, 12421])).
% 3.55/3.74 tff(12438,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12439,plain,
% 3.55/3.74 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12438, 16, 11, 5015, 117, 3771, 14, 12123])).
% 3.55/3.74 tff(12440,plain,
% 3.55/3.74 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[153, 12439])).
% 3.55/3.74 tff(12441,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[461, 9386, 117, 16])).
% 3.55/3.74 tff(12442,plain,
% 3.55/3.74 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[250, 12441])).
% 3.55/3.74 tff(12443,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[11491, 213, 5015, 12442, 203, 202])).
% 3.55/3.74 tff(12444,plain,((~b(z, s(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(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12445,plain,
% 3.55/3.74 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12444, 12440, 5015, 117, 16, 12123, 3771])).
% 3.55/3.74 tff(12446,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[233, 12445])).
% 3.55/3.74 tff(12447,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[11415, 12446, 14, 11])).
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[2303, 12447])).
% 3.55/3.74 tff(12449,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[11135, 12448, 5015, 3771, 117])).
% 3.55/3.74 tff(12450,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[170, 12449])).
% 3.55/3.74 tff(12451,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[5617, 12448, 5015, 16, 12450, 12407, 117])).
% 3.55/3.74 tff(12452,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[535, 12451])).
% 3.55/3.74 tff(12453,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[3821, 856, 3771, 12448])).
% 3.55/3.74 tff(12454,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[370, 12453])).
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% 3.55/3.74 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12021, 2812, 8, 856, 1016, 11, 598, 3412, 3])).
% 3.55/3.74 tff(12456,plain,
% 3.55/3.74 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[610, 12455])).
% 3.55/3.74 tff(12457,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[3821, 856, 3771, 1016])).
% 3.55/3.74 tff(12458,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[370, 12457])).
% 3.55/3.74 tff(12459,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[714, 12456, 117, 16])).
% 3.55/3.74 tff(12460,plain,
% 3.55/3.74 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[316, 12459])).
% 3.55/3.74 tff(12461,plain,
% 3.55/3.74 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[5233, 12460, 5015, 2812])).
% 3.55/3.74 tff(12462,plain,
% 3.55/3.74 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[338, 12461])).
% 3.55/3.74 tff(12463,plain,
% 3.55/3.74 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[9490, 12462, 5015, 117, 12458, 3, 12456, 3771, 738, 12123])).
% 3.55/3.74 tff(12464,plain,
% 3.55/3.74 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[819, 12463])).
% 3.55/3.74 tff(12465,plain,
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% 3.55/3.74 tff(12466,plain,
% 3.55/3.74 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), z))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.74 inference(rewrite,[status(thm)],[])).
% 3.55/3.74 tff(12467,plain,
% 3.55/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.55/3.74 inference(monotonicity,[status(thm)],[12466])).
% 3.55/3.74 tff(12468,plain,
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% 3.55/3.74 inference(transitivity,[status(thm)],[12467, 12465])).
% 3.55/3.74 tff(12469,plain,
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% 3.55/3.74 inference(quant_inst,[status(thm)],[])).
% 3.55/3.74 tff(12470,plain,
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% 3.55/3.74 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 3.55/3.74 tff(12471,plain,
% 3.55/3.74 ($false),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12470, 76, 16, 12409, 12456, 12462, 12464])).
% 3.55/3.74 tff(12472,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | r(s(z), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12473,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[12472, 856, 5015, 117, 3, 3771, 12446, 8, 16, 12448, 11, 598, 3412])).
% 3.55/3.74 tff(12474,plain,
% 3.55/3.74 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[627, 12473])).
% 3.55/3.74 tff(12475,plain,
% 3.55/3.74 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.55/3.74 tff(12476,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[338, 12475])).
% 3.55/3.74 tff(12477,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[714, 706, 117, 16])).
% 3.55/3.74 tff(12478,plain,
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% 3.55/3.74 inference(unit_resolution,[status(thm)],[316, 12477])).
% 3.55/3.74 tff(12479,plain,
% 3.55/3.74 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[839, 12478, 203, 12476])).
% 3.55/3.74 tff(12480,plain,
% 3.55/3.74 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[5812, 706, 5015, 350, 155, 16, 13])).
% 3.55/3.74 tff(12481,plain,
% 3.55/3.74 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[819, 12480])).
% 3.55/3.74 tff(12482,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[390, 12481, 14, 13])).
% 3.55/3.74 tff(12483,plain,
% 3.55/3.74 ($false),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[436, 12482, 12479])).
% 3.55/3.74 tff(12484,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12485,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12484, 12474, 14, 12440, 5015, 12454, 12450, 16, 117])).
% 3.55/3.74 tff(12486,plain,
% 3.55/3.74 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[610, 12485])).
% 3.55/3.74 tff(12487,plain,
% 3.55/3.74 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[8460, 12486, 3412, 3])).
% 3.55/3.74 tff(12488,plain,
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% 3.55/3.74 tff(12489,plain,
% 3.55/3.74 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[849, 76, 11, 598, 12488])).
% 3.55/3.74 tff(12490,plain,
% 3.55/3.74 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[853, 110, 12489, 3644])).
% 3.55/3.74 tff(12491,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[668, 76, 11, 12407, 598, 12474])).
% 3.55/3.74 tff(12492,plain,
% 3.55/3.74 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[653, 12491])).
% 3.55/3.74 tff(12493,plain,
% 3.55/3.74 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 3.55/3.74 tff(12494,plain,
% 3.55/3.74 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[1042, 12493])).
% 3.55/3.74 tff(12495,plain,
% 3.55/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.55/3.74 inference(rewrite,[status(thm)],[])).
% 3.55/3.74 tff(12496,plain,
% 3.55/3.74 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.55/3.74 inference(rewrite,[status(thm)],[])).
% 3.55/3.74 tff(12497,plain,
% 3.55/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.55/3.74 inference(monotonicity,[status(thm)],[12496])).
% 3.55/3.74 tff(12498,plain,
% 3.55/3.74 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.55/3.74 inference(transitivity,[status(thm)],[12497, 12495])).
% 3.55/3.74 tff(12499,plain,
% 3.55/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(quant_inst,[status(thm)],[])).
% 3.55/3.74 tff(12500,plain,
% 3.55/3.74 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.55/3.74 inference(modus_ponens,[status(thm)],[12499, 12498])).
% 3.55/3.74 tff(12501,plain,
% 3.55/3.74 ($false),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12500, 213, 12494, 12492, 856, 12123, 12490])).
% 3.55/3.74 tff(12502,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | r(s(z), s(s(s(s(s(s(s(z)))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12503,plain,
% 3.55/3.74 (~b(s(z), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12502, 8, 598, 3412, 3, 14, 5015, 16, 117, 3771, 11])).
% 3.55/3.74 tff(12504,plain,
% 3.55/3.74 (r(s(z), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[564, 12503])).
% 3.55/3.74 tff(12505,plain,
% 3.55/3.74 (~r(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[8024, 12504, 12123, 12407, 3, 12446])).
% 3.55/3.74 tff(12506,plain,
% 3.55/3.74 (b(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[370, 12505])).
% 3.55/3.74 tff(12507,plain,
% 3.55/3.74 ($false),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3890, 213, 3771, 12506, 8, 12448])).
% 3.55/3.74 tff(12508,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | r(s(z), s(s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12509,plain,
% 3.55/3.74 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12508, 12452, 3771, 598, 3412, 14, 5015, 16, 117, 11])).
% 3.55/3.74 tff(12510,plain,
% 3.55/3.74 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[450, 12509])).
% 3.55/3.74 tff(12511,plain,
% 3.55/3.74 (~b(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[3892, 12452, 3771, 12448])).
% 3.55/3.74 tff(12512,plain,
% 3.55/3.74 (r(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[370, 12511])).
% 3.55/3.74 tff(12513,plain,
% 3.55/3.74 ($false),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[10541, 76, 12512, 11, 12446, 12510, 12407])).
% 3.55/3.74 tff(12514,plain,((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | r(s(z), s(s(s(s(s(s(s(z)))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.74 tff(12515,plain,
% 3.55/3.74 (~r(s(s(s(s(z)))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12514, 11, 3771, 598, 3412, 14, 5015, 117])).
% 3.55/3.74 tff(12516,plain,
% 3.55/3.74 (b(s(s(s(s(z)))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[115, 12515])).
% 3.55/3.74 tff(12517,plain,
% 3.55/3.74 (~b(s(s(s(s(z)))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[5501, 12516, 5015, 3771])).
% 3.55/3.74 tff(12518,plain,
% 3.55/3.74 (r(s(s(s(s(z)))), z)),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[170, 12517])).
% 3.55/3.74 tff(12519,plain,
% 3.55/3.74 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11842, 12518, 12123, 117, 12516, 14])).
% 3.55/3.74 tff(12520,plain,
% 3.55/3.74 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[153, 12519])).
% 3.55/3.74 tff(12521,plain,
% 3.55/3.74 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11773, 76, 12518, 11, 12520, 14])).
% 3.55/3.74 tff(12522,plain,
% 3.55/3.74 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[550, 110, 12521])).
% 3.55/3.74 tff(12523,plain,
% 3.55/3.74 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12522, 540])).
% 3.55/3.74 tff(12524,plain,
% 3.55/3.74 (~b(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[6028, 12516, 5015, 3771])).
% 3.55/3.74 tff(12525,plain,
% 3.55/3.74 (r(z, s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[370, 12524])).
% 3.55/3.74 tff(12526,plain,
% 3.55/3.74 (~r(s(s(s(z))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[10254, 12516, 12523, 117, 11, 12520, 12407, 12525])).
% 3.55/3.74 tff(12527,plain,
% 3.55/3.74 (b(s(s(s(z))), s(z))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[535, 12526])).
% 3.55/3.74 tff(12528,plain,
% 3.55/3.74 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11842, 9450, 4, 117, 284, 14])).
% 3.55/3.74 tff(12529,plain,
% 3.55/3.74 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[153, 12528])).
% 3.55/3.74 tff(12530,plain,
% 3.55/3.74 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[11773, 76, 9450, 11, 12529, 14])).
% 3.55/3.74 tff(12531,plain,
% 3.55/3.74 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[550, 110, 12530])).
% 3.55/3.74 tff(12532,plain,
% 3.55/3.74 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.74 inference(unit_resolution,[status(thm)],[12531, 540])).
% 3.55/3.74 tff(12533,plain,
% 3.55/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(rewrite,[status(thm)],[])).
% 3.55/3.74 tff(12534,plain,
% 3.55/3.74 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(rewrite,[status(thm)],[])).
% 3.55/3.74 tff(12535,plain,
% 3.55/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.55/3.74 inference(monotonicity,[status(thm)],[12534])).
% 3.55/3.74 tff(12536,plain,
% 3.55/3.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.74 inference(transitivity,[status(thm)],[12535, 12533])).
% 3.55/3.74 tff(12537,plain,
% 3.55/3.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.75 inference(quant_inst,[status(thm)],[])).
% 3.55/3.75 tff(12538,plain,
% 3.55/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.55/3.75 inference(modus_ponens,[status(thm)],[12537, 12536])).
% 3.55/3.75 tff(12539,plain,
% 3.55/3.75 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12538, 76, 9450, 12529, 14, 598])).
% 3.55/3.75 tff(12540,plain,
% 3.55/3.75 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[338, 12539])).
% 3.55/3.75 tff(12541,plain,
% 3.55/3.75 (~b(z, s(z))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[6028, 284, 5015, 3771])).
% 3.55/3.75 tff(12542,plain,
% 3.55/3.75 (r(z, s(z))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[370, 12541])).
% 3.55/3.75 tff(12543,plain,
% 3.55/3.75 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[9460, 12529, 14, 9450])).
% 3.55/3.75 tff(12544,plain,
% 3.55/3.75 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[233, 12543])).
% 3.55/3.75 tff(12545,plain,
% 3.55/3.75 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[9384, 12544, 4, 3771])).
% 3.55/3.75 tff(12546,plain,
% 3.55/3.75 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[450, 12545])).
% 3.55/3.75 tff(12547,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12548,plain,
% 3.55/3.75 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12549,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.55/3.75 inference(monotonicity,[status(thm)],[12548])).
% 3.55/3.75 tff(12550,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.75 inference(transitivity,[status(thm)],[12549, 12547])).
% 3.55/3.75 tff(12551,plain,
% 3.55/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.55/3.75 inference(quant_inst,[status(thm)],[])).
% 3.55/3.75 tff(12552,plain,
% 3.55/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.55/3.75 inference(modus_ponens,[status(thm)],[12551, 12550])).
% 3.55/3.75 tff(12553,plain,
% 3.55/3.75 ($false),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12552, 76, 350, 15, 14, 1028, 1027])).
% 3.55/3.75 tff(12554,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.75 tff(12555,plain,
% 3.55/3.75 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12554, 1027, 12546, 14, 12542])).
% 3.55/3.75 tff(12556,plain,
% 3.55/3.75 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[1042, 12555])).
% 3.55/3.75 tff(12557,plain,
% 3.55/3.75 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[9407, 12546, 14, 3771, 5015, 12542])).
% 3.55/3.75 tff(12558,plain,
% 3.55/3.75 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[250, 12557])).
% 3.55/3.75 tff(12559,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12560,plain,
% 3.55/3.75 (((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12561,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.55/3.75 inference(monotonicity,[status(thm)],[12560])).
% 3.55/3.75 tff(12562,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.75 inference(transitivity,[status(thm)],[12561, 12559])).
% 3.55/3.75 tff(12563,plain,
% 3.55/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.75 inference(quant_inst,[status(thm)],[])).
% 3.55/3.75 tff(12564,plain,
% 3.55/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.55/3.75 inference(modus_ponens,[status(thm)],[12563, 12562])).
% 3.55/3.75 tff(12565,plain,
% 3.55/3.75 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12564, 76, 350, 15, 14, 2296])).
% 3.55/3.75 tff(12566,plain,
% 3.55/3.75 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[1042, 12565])).
% 3.55/3.75 tff(12567,plain,
% 3.55/3.75 ($false),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[5344, 213, 12566, 468, 2305, 11788])).
% 3.55/3.75 tff(12568,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.75 tff(12569,plain,
% 3.55/3.75 (~r(s(s(s(z))), z)),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12568, 12558, 12532, 11, 12529, 14, 12542, 12546])).
% 3.55/3.75 tff(12570,plain,
% 3.55/3.75 (b(s(s(s(z))), z)),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[2303, 12569])).
% 3.55/3.75 tff(12571,plain,
% 3.55/3.75 (~r(s(s(s(z))), s(z))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[10254, 284, 12532, 117, 11, 12529, 12423, 12542])).
% 3.55/3.75 tff(12572,plain,
% 3.55/3.75 (b(s(s(s(z))), s(z))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[535, 12571])).
% 3.55/3.75 tff(12573,plain,
% 3.55/3.75 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[5213, 76, 350, 706, 691, 1027])).
% 3.55/3.75 tff(12574,plain,
% 3.55/3.75 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[819, 12573])).
% 3.55/3.75 tff(12575,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12576,plain,
% 3.55/3.75 (((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12577,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.55/3.75 inference(monotonicity,[status(thm)],[12576])).
% 3.55/3.75 tff(12578,plain,
% 3.55/3.75 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.75 inference(transitivity,[status(thm)],[12577, 12575])).
% 3.55/3.75 tff(12579,plain,
% 3.55/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.75 inference(quant_inst,[status(thm)],[])).
% 3.55/3.75 tff(12580,plain,
% 3.55/3.75 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.55/3.75 inference(modus_ponens,[status(thm)],[12579, 12578])).
% 3.55/3.75 tff(12581,plain,
% 3.55/3.75 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12580, 76, 350, 14, 706, 598])).
% 3.55/3.75 tff(12582,plain,
% 3.55/3.75 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[627, 12581])).
% 3.55/3.75 tff(12583,plain,
% 3.55/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12584,plain,
% 3.55/3.75 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12585,plain,
% 3.55/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.55/3.75 inference(monotonicity,[status(thm)],[12584])).
% 3.55/3.75 tff(12586,plain,
% 3.55/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.75 inference(transitivity,[status(thm)],[12585, 12583])).
% 3.55/3.75 tff(12587,plain,
% 3.55/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.75 inference(quant_inst,[status(thm)],[])).
% 3.55/3.75 tff(12588,plain,
% 3.55/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.55/3.75 inference(modus_ponens,[status(thm)],[12587, 12586])).
% 3.55/3.75 tff(12589,plain,
% 3.55/3.75 ($false),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12588, 213, 3771, 8, 12582, 1016, 12574])).
% 3.55/3.75 tff(12590,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.75 tff(12591,plain,
% 3.55/3.75 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12590, 1027, 12572, 12570, 12542, 14, 598, 12423, 3771])).
% 3.55/3.75 tff(12592,plain,
% 3.55/3.75 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[610, 12591])).
% 3.55/3.75 tff(12593,plain,
% 3.55/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12594,plain,
% 3.55/3.75 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12595,plain,
% 3.55/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.55/3.75 inference(monotonicity,[status(thm)],[12594])).
% 3.55/3.75 tff(12596,plain,
% 3.55/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.75 inference(transitivity,[status(thm)],[12595, 12593])).
% 3.55/3.75 tff(12597,plain,
% 3.55/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.55/3.75 inference(quant_inst,[status(thm)],[])).
% 3.55/3.75 tff(12598,plain,
% 3.55/3.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.55/3.75 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 3.55/3.75 tff(12599,plain,
% 3.55/3.75 ($false),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12598, 213, 284, 281, 1507, 868, 464, 4, 2305])).
% 3.55/3.75 tff(12600,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.75 tff(12601,plain,
% 3.55/3.75 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12600, 12592, 284, 12556, 12540, 4, 12532])).
% 3.55/3.75 tff(12602,plain,
% 3.55/3.75 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[653, 12601])).
% 3.55/3.75 tff(12603,plain,
% 3.55/3.75 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[668, 76, 11, 12423, 598])).
% 3.55/3.75 tff(12604,plain,
% 3.55/3.75 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[12603, 12602])).
% 3.55/3.75 tff(12605,plain,
% 3.55/3.75 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.75 inference(unit_resolution,[status(thm)],[627, 12604])).
% 3.55/3.75 tff(12606,plain,
% 3.55/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12607,plain,
% 3.55/3.75 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.75 inference(rewrite,[status(thm)],[])).
% 3.55/3.75 tff(12608,plain,
% 3.55/3.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.55/3.76 inference(monotonicity,[status(thm)],[12607])).
% 3.55/3.76 tff(12609,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.76 inference(transitivity,[status(thm)],[12608, 12606])).
% 3.55/3.76 tff(12610,plain,
% 3.55/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.76 inference(quant_inst,[status(thm)],[])).
% 3.55/3.76 tff(12611,plain,
% 3.55/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.55/3.76 inference(modus_ponens,[status(thm)],[12610, 12609])).
% 3.55/3.76 tff(12612,plain,
% 3.55/3.76 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12611, 213, 5015, 284, 12592, 12572, 12570])).
% 3.55/3.76 tff(12613,plain,
% 3.55/3.76 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12612, 12605])).
% 3.55/3.76 tff(12614,plain,
% 3.55/3.76 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[853, 110, 12613, 3644])).
% 3.55/3.76 tff(12615,plain,
% 3.55/3.76 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[5233, 12605, 5015, 12540])).
% 3.55/3.76 tff(12616,plain,
% 3.55/3.76 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[316, 12615])).
% 3.55/3.76 tff(12617,plain,
% 3.55/3.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.76 inference(rewrite,[status(thm)],[])).
% 3.55/3.76 tff(12618,plain,
% 3.55/3.76 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.76 inference(rewrite,[status(thm)],[])).
% 3.55/3.76 tff(12619,plain,
% 3.55/3.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.55/3.76 inference(monotonicity,[status(thm)],[12618])).
% 3.55/3.76 tff(12620,plain,
% 3.55/3.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.76 inference(transitivity,[status(thm)],[12619, 12617])).
% 3.55/3.76 tff(12621,plain,
% 3.55/3.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(z))))))),
% 3.55/3.76 inference(quant_inst,[status(thm)],[])).
% 3.55/3.76 tff(12622,plain,
% 3.55/3.76 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.55/3.76 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 3.55/3.76 tff(12623,plain,
% 3.55/3.76 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12622, 76, 117, 1027, 12616, 12614])).
% 3.55/3.76 tff(12624,plain,
% 3.55/3.76 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[279, 12623])).
% 3.55/3.76 tff(12625,plain,
% 3.55/3.76 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[2838, 76, 12423, 12602, 12614])).
% 3.55/3.76 tff(12626,plain,
% 3.55/3.76 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[819, 12625])).
% 3.55/3.76 tff(12627,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.55/3.76 inference(rewrite,[status(thm)],[])).
% 3.55/3.76 tff(12628,plain,
% 3.55/3.76 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.55/3.76 inference(rewrite,[status(thm)],[])).
% 3.55/3.76 tff(12629,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.55/3.76 inference(monotonicity,[status(thm)],[12628])).
% 3.55/3.76 tff(12630,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.55/3.76 inference(transitivity,[status(thm)],[12629, 12627])).
% 3.55/3.76 tff(12631,plain,
% 3.55/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)))),
% 3.55/3.76 inference(quant_inst,[status(thm)],[])).
% 3.55/3.76 tff(12632,plain,
% 3.55/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.55/3.76 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 3.55/3.76 tff(12633,plain,
% 3.55/3.76 ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12632, 213, 3771, 12592, 4, 12544])).
% 3.55/3.76 tff(12634,plain,
% 3.55/3.76 ($false),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12633, 12626, 12624])).
% 3.55/3.76 tff(12635,plain,((~r(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.76 tff(12636,plain,
% 3.55/3.76 (~r(s(z), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12635, 12516, 12123, 117, 5015, 3771, 11, 598, 14])).
% 3.55/3.76 tff(12637,plain,
% 3.55/3.76 (b(s(z), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[564, 12636])).
% 3.55/3.76 tff(12638,plain,
% 3.55/3.76 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.76 inference(rewrite,[status(thm)],[])).
% 3.55/3.76 tff(12639,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.55/3.76 inference(monotonicity,[status(thm)],[12638])).
% 3.55/3.76 tff(12640,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.76 inference(transitivity,[status(thm)],[12639, 3833])).
% 3.55/3.76 tff(12641,plain,
% 3.55/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.55/3.76 inference(quant_inst,[status(thm)],[])).
% 3.55/3.76 tff(12642,plain,
% 3.55/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.55/3.76 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 3.55/3.76 tff(12643,plain,
% 3.55/3.76 ($false),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12642, 213, 12516, 12637, 12527, 12523])).
% 3.55/3.76 tff(12644,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | r(s(z), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.76 tff(12645,plain,
% 3.55/3.76 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12644, 117, 5015, 3771, 598, 14, 3412])).
% 3.55/3.76 tff(12646,plain,
% 3.55/3.76 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[596, 12645])).
% 3.55/3.76 tff(12647,plain,
% 3.55/3.76 (~b(s(s(s(s(z)))), s(z))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[6028, 1, 5015, 3771])).
% 3.55/3.76 tff(12648,plain,
% 3.55/3.76 (r(s(s(s(s(z)))), s(z))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[115, 12647])).
% 3.55/3.76 tff(12649,plain,
% 3.55/3.76 (~b(s(s(s(z))), s(z))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[7317, 213, 506, 1507, 4])).
% 3.55/3.76 tff(12650,plain,
% 3.55/3.76 (r(s(s(s(z))), s(z))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[535, 12649])).
% 3.55/3.76 tff(12651,plain,
% 3.55/3.76 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[11372, 76, 16, 7307, 12650])).
% 3.55/3.76 tff(12652,plain,
% 3.55/3.76 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[550, 110, 12651])).
% 3.55/3.76 tff(12653,plain,
% 3.55/3.76 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12652, 540])).
% 3.55/3.76 tff(12654,plain,
% 3.55/3.76 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[5598, 76, 117, 16, 12650])).
% 3.55/3.76 tff(12655,plain,
% 3.55/3.76 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[1871, 12654])).
% 3.55/3.76 tff(12656,plain,
% 3.55/3.76 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[4212, 213, 506, 1507, 12653])).
% 3.55/3.76 tff(12657,plain,
% 3.55/3.76 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[250, 12656])).
% 3.55/3.76 tff(12658,plain,
% 3.55/3.76 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[3458, 12653, 506, 1507])).
% 3.55/3.76 tff(12659,plain,
% 3.55/3.76 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[153, 12658])).
% 3.55/3.76 tff(12660,plain,
% 3.55/3.76 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[5167, 76, 12659, 12657, 598])).
% 3.55/3.76 tff(12661,plain,
% 3.55/3.76 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[316, 12660])).
% 3.55/3.76 tff(12662,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.76 inference(rewrite,[status(thm)],[])).
% 3.55/3.76 tff(12663,plain,
% 3.55/3.76 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.76 inference(rewrite,[status(thm)],[])).
% 3.55/3.76 tff(12664,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.55/3.76 inference(monotonicity,[status(thm)],[12663])).
% 3.55/3.76 tff(12665,plain,
% 3.55/3.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.76 inference(transitivity,[status(thm)],[12664, 12662])).
% 3.55/3.76 tff(12666,plain,
% 3.55/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.55/3.76 inference(quant_inst,[status(thm)],[])).
% 3.55/3.76 tff(12667,plain,
% 3.55/3.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.55/3.76 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 3.55/3.76 tff(12668,plain,
% 3.55/3.76 ($false),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12667, 213, 5015, 2812, 2305, 717, 2350])).
% 3.55/3.76 tff(12669,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.76 tff(12670,plain,
% 3.55/3.76 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12669, 12661, 12655, 12653, 5015])).
% 3.55/3.76 tff(12671,plain,
% 3.55/3.76 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[627, 12670])).
% 3.55/3.76 tff(12672,plain,
% 3.55/3.76 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[461, 12657, 117, 16])).
% 3.55/3.76 tff(12673,plain,
% 3.55/3.76 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[450, 12672])).
% 3.55/3.76 tff(12674,plain,
% 3.55/3.76 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[9384, 12673, 4, 3771])).
% 3.55/3.76 tff(12675,plain,
% 3.55/3.76 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[233, 12674])).
% 3.55/3.76 tff(12676,plain,
% 3.55/3.76 ($false),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[11203, 76, 12675, 14, 598, 12671])).
% 3.55/3.76 tff(12677,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.76 tff(12678,plain,
% 3.55/3.76 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12677, 12648, 598, 5015, 4, 3771, 117, 14, 506])).
% 3.55/3.76 tff(12679,plain,
% 3.55/3.76 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[1042, 12678])).
% 3.55/3.76 tff(12680,plain,
% 3.55/3.76 (~r(z, s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[11145, 2296, 1028, 14])).
% 3.55/3.76 tff(12681,plain,
% 3.55/3.76 (b(z, s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[581, 12680])).
% 3.55/3.76 tff(12682,plain,
% 3.55/3.76 (~b(s(s(s(s(z)))), z)),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[5418, 12681, 5600, 5015])).
% 3.55/3.76 tff(12683,plain,
% 3.55/3.76 (r(s(s(s(s(z)))), z)),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[170, 12682])).
% 3.55/3.76 tff(12684,plain,
% 3.55/3.76 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[8599, 856, 506, 203, 4])).
% 3.55/3.76 tff(12685,plain,
% 3.55/3.76 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[250, 12684])).
% 3.55/3.76 tff(12686,plain,
% 3.55/3.76 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[461, 12685, 117, 16])).
% 3.55/3.76 tff(12687,plain,
% 3.55/3.76 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[450, 12686])).
% 3.55/3.76 tff(12688,plain,
% 3.55/3.76 ($false),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[10181, 213, 506, 12687, 856, 4])).
% 3.55/3.76 tff(12689,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.76 tff(12690,plain,
% 3.55/3.76 (~b(s(z), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[12689, 203, 4, 117, 16, 506])).
% 3.55/3.76 tff(12691,plain,
% 3.55/3.76 (r(s(z), s(s(s(z))))),
% 3.55/3.76 inference(unit_resolution,[status(thm)],[564, 12690])).
% 3.55/3.76 tff(12692,plain,
% 3.55/3.76 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12693,plain,
% 3.55/3.77 (((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12694,plain,
% 3.55/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.55/3.77 inference(monotonicity,[status(thm)],[12693])).
% 3.55/3.77 tff(12695,plain,
% 3.55/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.55/3.77 inference(transitivity,[status(thm)],[12694, 12692])).
% 3.55/3.77 tff(12696,plain,
% 3.55/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.55/3.77 inference(quant_inst,[status(thm)],[])).
% 3.55/3.77 tff(12697,plain,
% 3.55/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[12696, 12695])).
% 3.55/3.77 tff(12698,plain,
% 3.55/3.77 (~r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12697, 76, 14, 1028, 12691, 2296])).
% 3.55/3.77 tff(12699,plain,
% 3.55/3.77 (b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[450, 12698])).
% 3.55/3.77 tff(12700,plain,
% 3.55/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12701,plain,
% 3.55/3.77 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12702,plain,
% 3.55/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 3.55/3.77 inference(monotonicity,[status(thm)],[12701])).
% 3.55/3.77 tff(12703,plain,
% 3.55/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.77 inference(transitivity,[status(thm)],[12702, 12700])).
% 3.55/3.77 tff(12704,plain,
% 3.55/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.55/3.77 inference(quant_inst,[status(thm)],[])).
% 3.55/3.77 tff(12705,plain,
% 3.55/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 3.55/3.77 tff(12706,plain,
% 3.55/3.77 ($false),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12705, 213, 506, 12699, 203, 4, 2350])).
% 3.55/3.77 tff(12707,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.77 tff(12708,plain,
% 3.55/3.77 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12707, 2296, 4, 5600, 14, 1028, 506, 117, 16])).
% 3.55/3.77 tff(12709,plain,
% 3.55/3.77 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[153, 12708])).
% 3.55/3.77 tff(12710,plain,
% 3.55/3.77 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[9460, 12709, 14, 12683])).
% 3.55/3.77 tff(12711,plain,
% 3.55/3.77 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[233, 12710])).
% 3.55/3.77 tff(12712,plain,
% 3.55/3.77 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[7873, 76, 16, 1028, 12])).
% 3.55/3.77 tff(12713,plain,
% 3.55/3.77 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12712, 12709])).
% 3.55/3.77 tff(12714,plain,
% 3.55/3.77 ((s(s(s(s(z)))) = s(s(s(z)))) | b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[550, 110, 12713])).
% 3.55/3.77 tff(12715,plain,
% 3.55/3.77 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12714, 540])).
% 3.55/3.77 tff(12716,plain,
% 3.55/3.77 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[9384, 12711, 4, 3771])).
% 3.55/3.77 tff(12717,plain,
% 3.55/3.77 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[450, 12716])).
% 3.55/3.77 tff(12718,plain,
% 3.55/3.77 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[461, 12717, 117, 16])).
% 3.55/3.77 tff(12719,plain,
% 3.55/3.77 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[250, 12718])).
% 3.55/3.77 tff(12720,plain,
% 3.55/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12721,plain,
% 3.55/3.77 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(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(z))))) | (~b(s(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(s(z)))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12722,plain,
% 3.55/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(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(z))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))))),
% 3.55/3.77 inference(monotonicity,[status(thm)],[12721])).
% 3.55/3.77 tff(12723,plain,
% 3.55/3.77 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(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(z))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.55/3.77 inference(transitivity,[status(thm)],[12722, 12720])).
% 3.55/3.77 tff(12724,plain,
% 3.55/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(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(z))))) | (~b(s(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(s(z))))))))))),
% 3.55/3.77 inference(quant_inst,[status(thm)],[])).
% 3.55/3.77 tff(12725,plain,
% 3.55/3.77 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 3.55/3.77 tff(12726,plain,
% 3.55/3.77 ($false),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12725, 213, 5015, 12719, 12715, 12711, 5600])).
% 3.55/3.77 tff(12727,plain,((~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.77 tff(12728,plain,
% 3.55/3.77 (~r(s(s(s(z))), z)),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12727, 12, 117, 12648, 4, 3771, 1028, 5015, 14, 506])).
% 3.55/3.77 tff(12729,plain,
% 3.55/3.77 (b(s(s(s(z))), z)),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[2303, 12728])).
% 3.55/3.77 tff(12730,plain,
% 3.55/3.77 (~b(s(z), s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[3821, 12729, 3771, 1])).
% 3.55/3.77 tff(12731,plain,
% 3.55/3.77 (~r(s(z), s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[11702, 12729, 5015, 117, 12648, 12])).
% 3.55/3.77 tff(12732,plain,
% 3.55/3.77 ($false),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[564, 12731, 12730])).
% 3.55/3.77 tff(12733,plain,((~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.77 tff(12734,plain,
% 3.55/3.77 (~r(s(s(s(z))), s(z))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12733, 1, 117, 3771, 5015, 4, 12679, 14, 506])).
% 3.55/3.77 tff(12735,plain,
% 3.55/3.77 (b(s(s(s(z))), s(z))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[535, 12734])).
% 3.55/3.77 tff(12736,plain,
% 3.55/3.77 (~b(s(s(s(z))), z)),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[3892, 12735, 3771, 1])).
% 3.55/3.77 tff(12737,plain,
% 3.55/3.77 (r(s(s(s(z))), z)),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[2303, 12736])).
% 3.55/3.77 tff(12738,plain,
% 3.55/3.77 (~r(z, s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[11145, 12737, 12679, 14])).
% 3.55/3.77 tff(12739,plain,
% 3.55/3.77 (b(z, s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[581, 12738])).
% 3.55/3.77 tff(12740,plain,
% 3.55/3.77 ($false),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[3945, 213, 3771, 1, 12739, 12735])).
% 3.55/3.77 tff(12741,plain,((~b(z, s(z))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.77 tff(12742,plain,
% 3.55/3.77 (~b(z, s(z))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12741, 117, 14, 3771, 5015, 4, 506, 598])).
% 3.55/3.77 tff(12743,plain,
% 3.55/3.77 (r(z, s(z))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[370, 12742])).
% 3.55/3.77 tff(12744,plain,
% 3.55/3.77 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[7319, 12544, 4, 12743, 506])).
% 3.55/3.77 tff(12745,plain,
% 3.55/3.77 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[1042, 12744])).
% 3.55/3.77 tff(12746,plain,
% 3.55/3.77 ($false),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12564, 76, 350, 15, 14, 1028, 2296])).
% 3.55/3.77 tff(12747,plain,((~r(s(s(s(z))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.77 tff(12748,plain,
% 3.55/3.77 (~r(s(s(s(z))), z)),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12747, 12546, 12743, 14, 12745])).
% 3.55/3.77 tff(12749,plain,
% 3.55/3.77 (b(s(s(s(z))), z)),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[2303, 12748])).
% 3.55/3.77 tff(12750,plain,
% 3.55/3.77 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[9407, 12546, 14, 3771, 5015, 12743])).
% 3.55/3.77 tff(12751,plain,
% 3.55/3.77 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[250, 12750])).
% 3.55/3.77 tff(12752,plain,
% 3.55/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12753,plain,
% 3.55/3.77 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12754,plain,
% 3.55/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.55/3.77 inference(monotonicity,[status(thm)],[12753])).
% 3.55/3.77 tff(12755,plain,
% 3.55/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.77 inference(transitivity,[status(thm)],[12754, 12752])).
% 3.55/3.77 tff(12756,plain,
% 3.55/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.77 inference(quant_inst,[status(thm)],[])).
% 3.55/3.77 tff(12757,plain,
% 3.55/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[12756, 12755])).
% 3.55/3.77 tff(12758,plain,
% 3.55/3.77 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12757, 76, 6, 14, 598, 13])).
% 3.55/3.77 tff(12759,plain,
% 3.55/3.77 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[316, 12758])).
% 3.55/3.77 tff(12760,plain,
% 3.55/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12761,plain,
% 3.55/3.77 (((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.77 inference(rewrite,[status(thm)],[])).
% 3.55/3.77 tff(12762,plain,
% 3.55/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.55/3.77 inference(monotonicity,[status(thm)],[12761])).
% 3.55/3.77 tff(12763,plain,
% 3.55/3.77 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.77 inference(transitivity,[status(thm)],[12762, 12760])).
% 3.55/3.77 tff(12764,plain,
% 3.55/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.77 inference(quant_inst,[status(thm)],[])).
% 3.55/3.77 tff(12765,plain,
% 3.55/3.77 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.55/3.77 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 3.55/3.77 tff(12766,plain,
% 3.55/3.77 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[12765, 76, 350, 15, 14, 13])).
% 3.55/3.77 tff(12767,plain,
% 3.55/3.77 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[436, 12766])).
% 3.55/3.77 tff(12768,plain,
% 3.55/3.77 ($false),
% 3.55/3.77 inference(unit_resolution,[status(thm)],[1851, 213, 468, 464, 12767, 12759])).
% 3.55/3.77 tff(12769,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.78 tff(12770,plain,
% 3.55/3.78 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12769, 12751, 12540, 12529, 14, 598, 12743, 12546])).
% 3.55/3.78 tff(12771,plain,
% 3.55/3.78 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[627, 12770])).
% 3.55/3.78 tff(12772,plain,
% 3.55/3.78 (~r(s(z), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12554, 12745, 12743, 14, 12546])).
% 3.55/3.78 tff(12773,plain,
% 3.55/3.78 (b(s(z), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[564, 12772])).
% 3.55/3.78 tff(12774,plain,
% 3.55/3.78 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[5233, 12771, 5015, 12540])).
% 3.55/3.78 tff(12775,plain,
% 3.55/3.78 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[316, 12774])).
% 3.55/3.78 tff(12776,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12777,plain,
% 3.55/3.78 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12778,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 3.55/3.78 inference(monotonicity,[status(thm)],[12777])).
% 3.55/3.78 tff(12779,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(transitivity,[status(thm)],[12778, 12776])).
% 3.55/3.78 tff(12780,plain,
% 3.55/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(quant_inst,[status(thm)],[])).
% 3.55/3.78 tff(12781,plain,
% 3.55/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))),
% 3.55/3.78 inference(modus_ponens,[status(thm)],[12780, 12779])).
% 3.55/3.78 tff(12782,plain,
% 3.55/3.78 ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12781, 213, 5015, 284, 506, 4, 12544])).
% 3.55/3.78 tff(12783,plain,
% 3.55/3.78 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12782, 12749])).
% 3.55/3.78 tff(12784,plain,
% 3.55/3.78 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[1871, 12783])).
% 3.55/3.78 tff(12785,plain,
% 3.55/3.78 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[9693, 76, 12529, 598, 12784])).
% 3.55/3.78 tff(12786,plain,
% 3.55/3.78 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12785, 12775])).
% 3.55/3.78 tff(12787,plain,
% 3.55/3.78 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[653, 12786])).
% 3.55/3.78 tff(12788,plain,
% 3.55/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12789,plain,
% 3.55/3.78 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12790,plain,
% 3.55/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.55/3.78 inference(monotonicity,[status(thm)],[12789])).
% 3.55/3.78 tff(12791,plain,
% 3.55/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(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(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.55/3.78 inference(transitivity,[status(thm)],[12790, 12788])).
% 3.55/3.78 tff(12792,plain,
% 3.55/3.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.55/3.78 inference(quant_inst,[status(thm)],[])).
% 3.55/3.78 tff(12793,plain,
% 3.55/3.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.55/3.78 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 3.55/3.78 tff(12794,plain,
% 3.55/3.78 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12793, 76, 117, 12529, 598])).
% 3.55/3.78 tff(12795,plain,
% 3.55/3.78 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12794, 12775])).
% 3.55/3.78 tff(12796,plain,
% 3.55/3.78 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[610, 12795])).
% 3.55/3.78 tff(12797,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12798,plain,
% 3.55/3.78 (((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12799,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.55/3.78 inference(monotonicity,[status(thm)],[12798])).
% 3.55/3.78 tff(12800,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(transitivity,[status(thm)],[12799, 12797])).
% 3.55/3.78 tff(12801,plain,
% 3.55/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.55/3.78 inference(quant_inst,[status(thm)],[])).
% 3.55/3.78 tff(12802,plain,
% 3.55/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.55/3.78 inference(modus_ponens,[status(thm)],[12801, 12800])).
% 3.55/3.78 tff(12803,plain,
% 3.55/3.78 (~b(s(s(s(z))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12802, 213, 12796, 12787, 12773, 12771, 12749])).
% 3.55/3.78 tff(12804,plain,
% 3.55/3.78 (r(s(s(s(z))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[535, 12803])).
% 3.55/3.78 tff(12805,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12806,plain,
% 3.55/3.78 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12807,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.55/3.78 inference(monotonicity,[status(thm)],[12806])).
% 3.55/3.78 tff(12808,plain,
% 3.55/3.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.78 inference(transitivity,[status(thm)],[12807, 12805])).
% 3.55/3.78 tff(12809,plain,
% 3.55/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 3.55/3.78 inference(quant_inst,[status(thm)],[])).
% 3.55/3.78 tff(12810,plain,
% 3.55/3.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.55/3.78 inference(modus_ponens,[status(thm)],[12809, 12808])).
% 3.55/3.78 tff(12811,plain,
% 3.55/3.78 (~b(z, s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12810, 213, 3771, 12773, 4, 12749, 12544])).
% 3.55/3.78 tff(12812,plain,
% 3.55/3.78 (r(z, s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[581, 12811])).
% 3.55/3.78 tff(12813,plain,
% 3.55/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12814,plain,
% 3.55/3.78 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.55/3.78 inference(rewrite,[status(thm)],[])).
% 3.55/3.78 tff(12815,plain,
% 3.55/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.55/3.78 inference(monotonicity,[status(thm)],[12814])).
% 3.55/3.78 tff(12816,plain,
% 3.55/3.78 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.55/3.78 inference(transitivity,[status(thm)],[12815, 12813])).
% 3.55/3.78 tff(12817,plain,
% 3.55/3.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.55/3.78 inference(quant_inst,[status(thm)],[])).
% 3.55/3.78 tff(12818,plain,
% 3.55/3.78 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.55/3.78 inference(modus_ponens,[status(thm)],[12817, 12816])).
% 3.55/3.78 tff(12819,plain,
% 3.55/3.78 ($false),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12818, 76, 12546, 14, 12745, 12812, 12804])).
% 3.55/3.78 tff(12820,plain,((~b(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.78 tff(12821,plain,
% 3.55/3.78 (~b(s(s(s(s(z)))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12820, 117, 598, 14, 5015, 3771, 12123, 12646])).
% 3.55/3.78 tff(12822,plain,
% 3.55/3.78 (r(s(s(s(s(z)))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[115, 12821])).
% 3.55/3.78 tff(12823,plain,
% 3.55/3.78 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12677, 12822, 598, 5015, 12123, 3771, 117, 14, 12646])).
% 3.55/3.78 tff(12824,plain,
% 3.55/3.78 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[1042, 12823])).
% 3.55/3.78 tff(12825,plain,
% 3.55/3.78 (~b(z, s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12741, 117, 14, 3771, 5015, 12123, 12646, 598])).
% 3.55/3.78 tff(12826,plain,
% 3.55/3.78 (r(z, s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[370, 12825])).
% 3.55/3.78 tff(12827,plain,
% 3.55/3.78 (~r(s(s(s(z))), z)),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12727, 12, 117, 16, 4, 3771, 1028, 5015, 14, 506])).
% 3.55/3.78 tff(12828,plain,
% 3.55/3.78 (b(s(s(s(z))), z)),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[2303, 12827])).
% 3.55/3.78 tff(12829,plain,
% 3.55/3.78 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12417, 12828, 5015, 117, 16, 3771, 14])).
% 3.55/3.78 tff(12830,plain,
% 3.55/3.78 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[153, 12829])).
% 3.55/3.78 tff(12831,plain,
% 3.55/3.78 (~r(s(z), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[11702, 12828, 5015, 117, 16, 12])).
% 3.55/3.78 tff(12832,plain,
% 3.55/3.78 (b(s(z), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[564, 12831])).
% 3.55/3.78 tff(12833,plain,
% 3.55/3.78 ($false),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12689, 12832, 12830, 4, 117, 16, 506])).
% 3.55/3.78 tff(12834,plain,((~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.78 tff(12835,plain,
% 3.55/3.78 (~r(s(s(s(z))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12834, 117, 12123, 12822, 12646, 5015, 3771, 14, 12824])).
% 3.55/3.78 tff(12836,plain,
% 3.55/3.78 (b(s(s(s(z))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[535, 12835])).
% 3.55/3.78 tff(12837,plain,
% 3.55/3.78 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[7428, 12836, 12123, 12646])).
% 3.55/3.78 tff(12838,plain,
% 3.55/3.78 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[450, 12837])).
% 3.55/3.78 tff(12839,plain,
% 3.55/3.78 (~r(s(s(s(z))), z)),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12747, 12838, 12826, 14, 12824])).
% 3.55/3.78 tff(12840,plain,
% 3.55/3.78 (b(s(s(s(z))), z)),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[2303, 12839])).
% 3.55/3.78 tff(12841,plain,
% 3.55/3.78 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12417, 12840, 5015, 117, 12822, 3771, 14])).
% 3.55/3.78 tff(12842,plain,
% 3.55/3.78 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[9407, 12838, 14, 3771, 5015, 12826])).
% 3.55/3.78 tff(12843,plain,
% 3.55/3.78 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[250, 12842])).
% 3.55/3.78 tff(12844,plain,
% 3.55/3.78 (~r(s(z), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[12554, 12838, 12826, 14, 12824])).
% 3.55/3.78 tff(12845,plain,
% 3.55/3.78 (b(s(z), s(s(s(z))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[564, 12844])).
% 3.55/3.78 tff(12846,plain,
% 3.55/3.78 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[8599, 12845, 12646, 12843, 12123])).
% 3.55/3.78 tff(12847,plain,
% 3.55/3.78 ($false),
% 3.55/3.78 inference(unit_resolution,[status(thm)],[153, 12846, 12841])).
% 3.55/3.79 tff(12848,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | r(s(z), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12849,plain,
% 3.55/3.79 ((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12848, 10954])).
% 3.55/3.79 tff(12850,plain,
% 3.55/3.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12849, 12401, 117, 12404, 5015])).
% 3.55/3.79 tff(12851,plain,
% 3.55/3.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[484, 12850])).
% 3.55/3.79 tff(12852,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[8470, 12851, 12405, 3])).
% 3.55/3.79 tff(12853,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[610, 12852])).
% 3.55/3.79 tff(12854,plain,
% 3.55/3.79 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11213, 12853, 5015, 12377, 12401, 16])).
% 3.55/3.79 tff(12855,plain,
% 3.55/3.79 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[9384, 12405, 12401, 3])).
% 3.55/3.79 tff(12856,plain,
% 3.55/3.79 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[233, 12855])).
% 3.55/3.79 tff(12857,plain,
% 3.55/3.79 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11416, 12856, 12381])).
% 3.55/3.79 tff(12858,plain,
% 3.55/3.79 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[596, 12857])).
% 3.55/3.79 tff(12859,plain,
% 3.55/3.79 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[2840, 12858, 12403, 12383, 12851])).
% 3.55/3.79 tff(12860,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[819, 12859, 12854])).
% 3.55/3.79 tff(12861,plain,((~r(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12862,plain,
% 3.55/3.79 (~r(s(s(s(z))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12861, 5015, 16, 3, 117])).
% 3.55/3.79 tff(12863,plain,
% 3.55/3.79 (b(s(s(s(z))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[535, 12862])).
% 3.55/3.79 tff(12864,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[5463, 9, 5, 1027, 117])).
% 3.55/3.79 tff(12865,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1042, 12864])).
% 3.55/3.79 tff(12866,plain,
% 3.55/3.79 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[6435, 12865, 117, 1027, 9])).
% 3.55/3.79 tff(12867,plain,
% 3.55/3.79 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[6417, 9, 5, 1027, 117])).
% 3.55/3.79 tff(12868,plain,
% 3.55/3.79 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[2750, 12867])).
% 3.55/3.79 tff(12869,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11454, 12868, 5015, 12865])).
% 3.55/3.79 tff(12870,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1871, 12869, 12866])).
% 3.55/3.79 tff(12871,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12872,plain,
% 3.55/3.79 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12871, 1027, 117, 5015, 12197])).
% 3.55/3.79 tff(12873,plain,
% 3.55/3.79 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[3417, 12872])).
% 3.55/3.79 tff(12874,plain,
% 3.55/3.79 (~b(s(z), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11135, 1016, 117, 12377, 5015])).
% 3.55/3.79 tff(12875,plain,
% 3.55/3.79 (r(s(z), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[3759, 12874])).
% 3.55/3.79 tff(12876,plain,
% 3.55/3.79 (~b(z, s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11667, 12123, 3, 12863, 1016])).
% 3.55/3.79 tff(12877,plain,
% 3.55/3.79 (r(z, s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[370, 12876])).
% 3.55/3.79 tff(12878,plain,
% 3.55/3.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[10117, 12877, 5015, 12875, 16, 12377, 117])).
% 3.55/3.79 tff(12879,plain,
% 3.55/3.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[610, 12878])).
% 3.55/3.79 tff(12880,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[8460, 12879, 3412, 3])).
% 3.55/3.79 tff(12881,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[436, 12880])).
% 3.55/3.79 tff(12882,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12379, 1016, 12377, 5015])).
% 3.55/3.79 tff(12883,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1871, 12882])).
% 3.55/3.79 tff(12884,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[7428, 12123, 12863, 3])).
% 3.55/3.79 tff(12885,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[596, 12884])).
% 3.55/3.79 tff(12886,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[10125, 213, 12879, 3, 12863, 12123])).
% 3.55/3.79 tff(12887,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[4243, 12886])).
% 3.55/3.79 tff(12888,plain,
% 3.55/3.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[5873, 12887, 12885, 12883, 12881])).
% 3.55/3.79 tff(12889,plain,
% 3.55/3.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[316, 12888])).
% 3.55/3.79 tff(12890,plain,
% 3.55/3.79 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[9476, 12889, 5015, 12377])).
% 3.55/3.79 tff(12891,plain,
% 3.55/3.79 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[819, 12890])).
% 3.55/3.79 tff(12892,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11880, 213, 12879, 3, 12863, 12123])).
% 3.55/3.79 tff(12893,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[653, 12892])).
% 3.55/3.79 tff(12894,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[8013, 213, 3, 12863, 12123])).
% 3.55/3.79 tff(12895,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1042, 12894])).
% 3.55/3.79 tff(12896,plain,
% 3.55/3.79 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[7182, 12895, 12197, 12881, 12893])).
% 3.55/3.79 tff(12897,plain,
% 3.55/3.79 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[338, 12896])).
% 3.55/3.79 tff(12898,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[5233, 12889, 5015, 12897])).
% 3.55/3.79 tff(12899,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[627, 12898])).
% 3.55/3.79 tff(12900,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11025, 12899, 12891, 12881])).
% 3.55/3.79 tff(12901,plain,(r(s(z), s(s(s(s(s(s(s(z)))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12902,plain,
% 3.55/3.79 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12901, 1016, 3, 16, 117, 5015])).
% 3.55/3.79 tff(12903,plain,
% 3.55/3.79 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11098, 12902, 12875])).
% 3.55/3.79 tff(12904,plain,
% 3.55/3.79 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[233, 12903])).
% 3.55/3.79 tff(12905,plain,
% 3.55/3.79 (~r(s(z), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12275, 12902, 117, 5015, 1016, 12197])).
% 3.55/3.79 tff(12906,plain,
% 3.55/3.79 (b(s(z), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[564, 12905])).
% 3.55/3.79 tff(12907,plain,
% 3.55/3.79 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[199, 12902, 12197, 117])).
% 3.55/3.79 tff(12908,plain,
% 3.55/3.79 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[153, 12907])).
% 3.55/3.79 tff(12909,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12379, 1016, 191, 5015])).
% 3.55/3.79 tff(12910,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1871, 12909])).
% 3.55/3.79 tff(12911,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.79 inference(rewrite,[status(thm)],[])).
% 3.55/3.79 tff(12912,plain,
% 3.55/3.79 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.79 inference(rewrite,[status(thm)],[])).
% 3.55/3.79 tff(12913,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 3.55/3.79 inference(monotonicity,[status(thm)],[12912])).
% 3.55/3.79 tff(12914,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.55/3.79 inference(transitivity,[status(thm)],[12913, 12911])).
% 3.55/3.79 tff(12915,plain,
% 3.55/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.55/3.79 inference(quant_inst,[status(thm)],[])).
% 3.55/3.79 tff(12916,plain,
% 3.55/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))),
% 3.55/3.79 inference(modus_ponens,[status(thm)],[12915, 12914])).
% 3.55/3.79 tff(12917,plain,
% 3.55/3.79 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12916, 213, 5015, 191, 506, 203, 1016])).
% 3.55/3.79 tff(12918,plain,
% 3.55/3.79 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[2750, 12917])).
% 3.55/3.79 tff(12919,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[2366, 506, 856, 3])).
% 3.55/3.79 tff(12920,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1042, 12919])).
% 3.55/3.79 tff(12921,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[3011, 76, 5, 12920, 12918, 12910])).
% 3.55/3.79 tff(12922,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12923,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12922, 12908, 5015, 12377, 12197, 1016, 12906, 3])).
% 3.55/3.79 tff(12924,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[596, 12923])).
% 3.55/3.79 tff(12925,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[2259, 213, 281, 3, 856, 8])).
% 3.55/3.79 tff(12926,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[436, 12925])).
% 3.55/3.79 tff(12927,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.79 inference(rewrite,[status(thm)],[])).
% 3.55/3.79 tff(12928,plain,
% 3.55/3.79 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.79 inference(rewrite,[status(thm)],[])).
% 3.55/3.79 tff(12929,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.55/3.79 inference(monotonicity,[status(thm)],[12928])).
% 3.55/3.79 tff(12930,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.79 inference(transitivity,[status(thm)],[12929, 12927])).
% 3.55/3.79 tff(12931,plain,
% 3.55/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.55/3.79 inference(quant_inst,[status(thm)],[])).
% 3.55/3.79 tff(12932,plain,
% 3.55/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.55/3.79 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 3.55/3.79 tff(12933,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12932, 213, 281, 856, 8])).
% 3.55/3.79 tff(12934,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[4243, 12933])).
% 3.55/3.79 tff(12935,plain,
% 3.55/3.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[5873, 12934, 11, 1556, 12926])).
% 3.55/3.79 tff(12936,plain,
% 3.55/3.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[316, 12935])).
% 3.55/3.79 tff(12937,plain,
% 3.55/3.79 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[9476, 12936, 5015, 191])).
% 3.55/3.79 tff(12938,plain,
% 3.55/3.79 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[819, 12937])).
% 3.55/3.79 tff(12939,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[4911, 213, 281, 856, 8])).
% 3.55/3.79 tff(12940,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[653, 12939])).
% 3.55/3.79 tff(12941,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11547, 213, 3, 856, 8])).
% 3.55/3.79 tff(12942,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1042, 12941])).
% 3.55/3.79 tff(12943,plain,
% 3.55/3.79 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[7182, 12926, 5, 12942, 12940])).
% 3.55/3.79 tff(12944,plain,
% 3.55/3.79 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[338, 12943])).
% 3.55/3.79 tff(12945,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[5233, 12936, 5015, 12944])).
% 3.55/3.79 tff(12946,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[627, 12945])).
% 3.55/3.79 tff(12947,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11025, 12946, 12938, 12926])).
% 3.55/3.79 tff(12948,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12949,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12948, 12924, 12377, 5015, 12883, 12197, 12906, 12863, 3])).
% 3.55/3.79 tff(12950,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[610, 12949])).
% 3.55/3.79 tff(12951,plain,
% 3.55/3.79 (~r(z, s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[10117, 12950, 5015, 12875, 16, 12377, 117])).
% 3.55/3.79 tff(12952,plain,
% 3.55/3.79 (b(z, s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[370, 12951])).
% 3.55/3.79 tff(12953,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.79 inference(rewrite,[status(thm)],[])).
% 3.55/3.79 tff(12954,plain,
% 3.55/3.79 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.79 inference(rewrite,[status(thm)],[])).
% 3.55/3.79 tff(12955,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.55/3.79 inference(monotonicity,[status(thm)],[12954])).
% 3.55/3.79 tff(12956,plain,
% 3.55/3.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.55/3.79 inference(transitivity,[status(thm)],[12955, 12953])).
% 3.55/3.79 tff(12957,plain,
% 3.55/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(quant_inst,[status(thm)],[])).
% 3.55/3.79 tff(12958,plain,
% 3.55/3.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.55/3.79 inference(modus_ponens,[status(thm)],[12957, 12956])).
% 3.55/3.79 tff(12959,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12958, 213, 12952, 3, 12906, 12863, 12904])).
% 3.55/3.79 tff(12960,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12961,plain,
% 3.55/3.79 (~b(s(s(s(z))), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12960, 5015, 3, 16, 117])).
% 3.55/3.79 tff(12962,plain,
% 3.55/3.79 (r(s(s(s(z))), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[2303, 12961])).
% 3.55/3.79 tff(12963,plain,
% 3.55/3.79 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[9384, 3, 4, 3771])).
% 3.55/3.79 tff(12964,plain,
% 3.55/3.79 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[233, 12963])).
% 3.55/3.79 tff(12965,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[7428, 3, 4, 8])).
% 3.55/3.79 tff(12966,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[596, 12965])).
% 3.55/3.79 tff(12967,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11415, 12966, 12964, 14, 2296])).
% 3.55/3.79 tff(12968,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12969,plain,
% 3.55/3.79 ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(z), z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12968, 10954])).
% 3.55/3.79 tff(12970,plain,
% 3.55/3.79 (~b(s(z), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12969, 12873, 3, 12863, 12962])).
% 3.55/3.79 tff(12971,plain,
% 3.55/3.79 (r(s(z), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[3759, 12970])).
% 3.55/3.79 tff(12972,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[7428, 12873, 12863, 3])).
% 3.55/3.79 tff(12973,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[596, 12972])).
% 3.55/3.79 tff(12974,plain,
% 3.55/3.79 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11416, 12973, 12962])).
% 3.55/3.79 tff(12975,plain,
% 3.55/3.79 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[233, 12974])).
% 3.55/3.79 tff(12976,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11628, 213, 1, 3, 4, 202])).
% 3.55/3.79 tff(12977,plain,((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.79 tff(12978,plain,
% 3.55/3.79 (~b(z, s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[12977, 12873, 3, 12975])).
% 3.55/3.79 tff(12979,plain,
% 3.55/3.79 (r(z, s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[370, 12978])).
% 3.55/3.79 tff(12980,plain,
% 3.55/3.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[10117, 12979, 5015, 12971, 16, 12377, 117])).
% 3.55/3.79 tff(12981,plain,
% 3.55/3.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[610, 12980])).
% 3.55/3.79 tff(12982,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[8460, 12981, 12872, 3])).
% 3.55/3.79 tff(12983,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[436, 12982])).
% 3.55/3.79 tff(12984,plain,
% 3.55/3.79 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[8013, 213, 3, 12863, 12873])).
% 3.55/3.79 tff(12985,plain,
% 3.55/3.79 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1042, 12984])).
% 3.55/3.79 tff(12986,plain,
% 3.55/3.79 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[9542, 12971, 12962, 117, 1027])).
% 3.55/3.79 tff(12987,plain,
% 3.55/3.79 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[2750, 12986])).
% 3.55/3.79 tff(12988,plain,
% 3.55/3.79 (~r(z, s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[7931, 12971, 12962, 1027])).
% 3.55/3.79 tff(12989,plain,
% 3.55/3.79 (b(z, s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[581, 12988])).
% 3.55/3.79 tff(12990,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[5307, 12989, 5015, 12987])).
% 3.55/3.79 tff(12991,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[1871, 12990])).
% 3.55/3.79 tff(12992,plain,
% 3.55/3.79 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11039, 12983, 12962, 12985, 12989])).
% 3.55/3.79 tff(12993,plain,
% 3.55/3.79 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[4243, 12992])).
% 3.55/3.79 tff(12994,plain,
% 3.55/3.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[5873, 12993, 12973, 12991, 12983])).
% 3.55/3.79 tff(12995,plain,
% 3.55/3.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[316, 12994])).
% 3.55/3.79 tff(12996,plain,
% 3.55/3.79 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[9476, 12995, 5015, 12377])).
% 3.55/3.79 tff(12997,plain,
% 3.55/3.79 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[819, 12996])).
% 3.55/3.79 tff(12998,plain,
% 3.55/3.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11025, 12997, 12983])).
% 3.55/3.79 tff(12999,plain,
% 3.55/3.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[627, 12998])).
% 3.55/3.79 tff(13000,plain,
% 3.55/3.79 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[5233, 12999, 5015, 12995])).
% 3.55/3.79 tff(13001,plain,
% 3.55/3.79 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[338, 13000])).
% 3.55/3.79 tff(13002,plain,
% 3.55/3.79 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[7182, 13001, 12197, 12985, 12983])).
% 3.55/3.79 tff(13003,plain,
% 3.55/3.79 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[653, 13002])).
% 3.55/3.79 tff(13004,plain,
% 3.55/3.79 ($false),
% 3.55/3.79 inference(unit_resolution,[status(thm)],[11880, 213, 12981, 3, 13003, 12863, 12873])).
% 3.55/3.79 tff(13005,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.80 tff(13006,plain,
% 3.55/3.80 (~r(s(z), s(s(s(z))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[13005, 5015, 3, 16, 117])).
% 3.55/3.80 tff(13007,plain,
% 3.55/3.80 (b(s(z), s(s(s(z))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[564, 13006])).
% 3.55/3.80 tff(13008,plain,
% 3.55/3.80 ($false),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[2761, 213, 3, 1507, 856, 8])).
% 3.55/3.80 tff(13009,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.80 tff(13010,plain,
% 3.55/3.80 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[13009, 13007, 3, 12863])).
% 3.55/3.80 tff(13011,plain,
% 3.55/3.80 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[1042, 13010])).
% 3.55/3.80 tff(13012,plain,
% 3.55/3.80 (~r(z, s(s(s(z))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[11146, 13011, 12962])).
% 3.55/3.80 tff(13013,plain,
% 3.55/3.80 (b(z, s(s(s(z))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[581, 13012])).
% 3.55/3.80 tff(13014,plain,
% 3.55/3.80 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[5418, 13013, 5015, 12377])).
% 3.55/3.80 tff(13015,plain,
% 3.55/3.80 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[1871, 13014])).
% 3.55/3.80 tff(13016,plain,
% 3.55/3.80 (~b(s(z), z)),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[6470, 13013, 13007, 12863])).
% 3.55/3.80 tff(13017,plain,
% 3.55/3.80 (r(s(z), z)),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[3759, 13016])).
% 3.55/3.80 tff(13018,plain,
% 3.55/3.80 (~b(z, s(z))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[8680, 13013, 12863, 13007])).
% 3.55/3.80 tff(13019,plain,
% 3.55/3.80 (r(z, s(z))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[370, 13018])).
% 3.55/3.80 tff(13020,plain,
% 3.55/3.80 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[10117, 13019, 5015, 13017, 16, 12377, 117])).
% 3.55/3.80 tff(13021,plain,
% 3.55/3.80 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[610, 13020])).
% 3.55/3.80 tff(13022,plain,
% 3.55/3.80 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[12948, 13021, 12377, 5015, 13007, 12197, 13015, 12863, 3])).
% 3.55/3.80 tff(13023,plain,
% 3.55/3.80 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[596, 13022])).
% 3.55/3.80 tff(13024,plain,
% 3.55/3.80 ($false),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[3571, 213, 13023, 3, 13007, 12863])).
% 3.55/3.80 tff(13025,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.55/3.80 tff(13026,plain,
% 3.55/3.80 (~b(z, s(s(s(s(z)))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[13025, 117, 16, 3])).
% 3.55/3.80 tff(13027,plain,
% 3.55/3.80 (r(z, s(s(s(s(z)))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[5013, 13026])).
% 3.55/3.80 tff(13028,plain,
% 3.55/3.80 (~r(z, s(z))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[358, 13027, 16, 117])).
% 3.55/3.80 tff(13029,plain,
% 3.55/3.80 (b(z, s(z))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[370, 13028])).
% 3.55/3.80 tff(13030,plain,
% 3.55/3.80 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.55/3.80 inference(unit_resolution,[status(thm)],[5463, 1507, 12197, 1027, 117])).
% 3.65/3.80 tff(13031,plain,
% 3.65/3.80 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3417, 13030])).
% 3.65/3.80 tff(13032,plain,
% 3.65/3.80 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12977, 13031, 3, 13029])).
% 3.65/3.80 tff(13033,plain,
% 3.65/3.80 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[233, 13032])).
% 3.65/3.80 tff(13034,plain,
% 3.65/3.80 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2894, 738, 5, 10])).
% 3.65/3.80 tff(13035,plain,
% 3.65/3.80 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[153, 13034])).
% 3.65/3.80 tff(13036,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3448, 213, 506, 1507, 203, 2350])).
% 3.65/3.80 tff(13037,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13038,plain,
% 3.65/3.80 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13037, 2350, 13035, 1507])).
% 3.65/3.80 tff(13039,plain,
% 3.65/3.80 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[596, 13038])).
% 3.65/3.80 tff(13040,plain,
% 3.65/3.80 (~r(s(s(s(z))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11416, 13039, 738])).
% 3.65/3.80 tff(13041,plain,
% 3.65/3.80 (b(s(s(s(z))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2303, 13040])).
% 3.65/3.80 tff(13042,plain,
% 3.65/3.80 (~r(z, s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[8038, 13039, 5, 10, 738])).
% 3.65/3.80 tff(13043,plain,
% 3.65/3.80 (b(z, s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[581, 13042])).
% 3.65/3.80 tff(13044,plain,
% 3.65/3.80 ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[1132, 10954])).
% 3.65/3.80 tff(13045,plain,
% 3.65/3.80 (~r(s(s(s(s(z)))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13044, 10, 5])).
% 3.65/3.80 tff(13046,plain,
% 3.65/3.80 (b(s(s(s(s(z)))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[170, 13045])).
% 3.65/3.80 tff(13047,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.80 inference(rewrite,[status(thm)],[])).
% 3.65/3.80 tff(13048,plain,
% 3.65/3.80 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.80 inference(rewrite,[status(thm)],[])).
% 3.65/3.80 tff(13049,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.65/3.80 inference(monotonicity,[status(thm)],[13048])).
% 3.65/3.80 tff(13050,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.80 inference(transitivity,[status(thm)],[13049, 13047])).
% 3.65/3.80 tff(13051,plain,
% 3.65/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.65/3.80 inference(quant_inst,[status(thm)],[])).
% 3.65/3.80 tff(13052,plain,
% 3.65/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.65/3.80 inference(modus_ponens,[status(thm)],[13051, 13050])).
% 3.65/3.80 tff(13053,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13052, 213, 13046, 13043, 13041, 2350])).
% 3.65/3.80 tff(13054,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13055,plain,
% 3.65/3.80 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13054, 13033, 13027, 12197, 1507])).
% 3.65/3.80 tff(13056,plain,
% 3.65/3.80 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[1871, 13055])).
% 3.65/3.80 tff(13057,plain,
% 3.65/3.80 (~r(s(s(s(z))), s(z))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11248, 13056, 117, 16])).
% 3.65/3.80 tff(13058,plain,
% 3.65/3.80 (b(s(s(s(z))), s(z))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[535, 13057])).
% 3.65/3.80 tff(13059,plain,
% 3.65/3.80 (~b(s(s(s(z))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11667, 13058, 3, 13029, 13031])).
% 3.65/3.80 tff(13060,plain,
% 3.65/3.80 (r(s(s(s(z))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2303, 13059])).
% 3.65/3.80 tff(13061,plain,
% 3.65/3.80 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[7428, 13058, 13031, 3])).
% 3.65/3.80 tff(13062,plain,
% 3.65/3.80 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[596, 13061])).
% 3.65/3.80 tff(13063,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11416, 13062, 13060, 13033])).
% 3.65/3.80 tff(13064,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13065,plain,
% 3.65/3.80 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13064, 1027, 117, 16, 3])).
% 3.65/3.80 tff(13066,plain,
% 3.65/3.80 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[1042, 13065])).
% 3.65/3.80 tff(13067,plain,
% 3.65/3.80 (~r(s(s(s(z))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12219, 13066, 12197, 13027])).
% 3.65/3.80 tff(13068,plain,
% 3.65/3.80 (b(s(s(s(z))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2303, 13067])).
% 3.65/3.80 tff(13069,plain,
% 3.65/3.80 (~r(s(s(s(z))), s(z))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11248, 1556, 117, 16])).
% 3.65/3.80 tff(13070,plain,
% 3.65/3.80 (b(s(s(s(z))), s(z))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[535, 13069])).
% 3.65/3.80 tff(13071,plain,
% 3.65/3.80 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[6435, 1556, 117, 1027, 13066])).
% 3.65/3.80 tff(13072,plain,
% 3.65/3.80 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3417, 13071])).
% 3.65/3.80 tff(13073,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11667, 13072, 13070, 3, 13029, 13068])).
% 3.65/3.80 tff(13074,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13075,plain,
% 3.65/3.80 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13074, 1027, 117, 3, 16])).
% 3.65/3.80 tff(13076,plain,
% 3.65/3.80 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[1871, 13075])).
% 3.65/3.80 tff(13077,plain,
% 3.65/3.80 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12977, 4, 3, 1])).
% 3.65/3.80 tff(13078,plain,
% 3.65/3.80 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[233, 13077])).
% 3.65/3.80 tff(13079,plain,
% 3.65/3.80 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2894, 13078, 5, 10])).
% 3.65/3.80 tff(13080,plain,
% 3.65/3.80 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[153, 13079])).
% 3.65/3.80 tff(13081,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[8077, 213, 1, 13046, 506, 13080, 4, 1016, 2350])).
% 3.65/3.80 tff(13082,plain,((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13083,plain,
% 3.65/3.80 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13082, 2350, 506, 1016, 1, 5, 10, 3])).
% 3.65/3.80 tff(13084,plain,
% 3.65/3.80 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3417, 13083])).
% 3.65/3.80 tff(13085,plain,
% 3.65/3.80 (~r(s(z), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11392, 13084, 117, 10])).
% 3.65/3.80 tff(13086,plain,
% 3.65/3.80 (b(s(z), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3759, 13085])).
% 3.65/3.80 tff(13087,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.80 inference(rewrite,[status(thm)],[])).
% 3.65/3.80 tff(13088,plain,
% 3.65/3.80 (((~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.80 inference(rewrite,[status(thm)],[])).
% 3.65/3.80 tff(13089,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 3.65/3.80 inference(monotonicity,[status(thm)],[13088])).
% 3.65/3.80 tff(13090,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.80 inference(transitivity,[status(thm)],[13089, 13087])).
% 3.65/3.80 tff(13091,plain,
% 3.65/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))))),
% 3.65/3.80 inference(quant_inst,[status(thm)],[])).
% 3.65/3.80 tff(13092,plain,
% 3.65/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 3.65/3.80 inference(modus_ponens,[status(thm)],[13091, 13090])).
% 3.65/3.80 tff(13093,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13092, 213, 13086, 1, 13046, 1016, 2350])).
% 3.65/3.80 tff(13094,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13095,plain,
% 3.65/3.80 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13094, 13076, 13068, 117, 13027, 13029, 12197, 3])).
% 3.65/3.80 tff(13096,plain,
% 3.65/3.80 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[596, 13095])).
% 3.65/3.80 tff(13097,plain,
% 3.65/3.80 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[5450, 13096, 12197, 1027, 117])).
% 3.65/3.80 tff(13098,plain,
% 3.65/3.80 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3417, 13097])).
% 3.65/3.80 tff(13099,plain,
% 3.65/3.80 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12977, 13098, 3, 13029])).
% 3.65/3.80 tff(13100,plain,
% 3.65/3.80 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[233, 13099])).
% 3.65/3.80 tff(13101,plain,
% 3.65/3.80 (~r(z, s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[8038, 13100, 12197, 13027, 13096])).
% 3.65/3.80 tff(13102,plain,
% 3.65/3.80 (b(z, s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[581, 13101])).
% 3.65/3.80 tff(13103,plain,
% 3.65/3.80 (~r(s(s(s(s(z)))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13044, 13027, 12197])).
% 3.65/3.80 tff(13104,plain,
% 3.65/3.80 (b(s(s(s(s(z)))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[170, 13103])).
% 3.65/3.80 tff(13105,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13052, 213, 13104, 13102, 13068, 13076])).
% 3.65/3.80 tff(13106,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13107,plain,
% 3.65/3.80 (~r(s(z), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13106, 117, 3, 16])).
% 3.65/3.80 tff(13108,plain,
% 3.65/3.80 (b(s(z), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[564, 13107])).
% 3.65/3.80 tff(13109,plain,
% 3.65/3.80 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12219, 2296, 5, 10])).
% 3.65/3.80 tff(13110,plain,
% 3.65/3.80 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[1042, 13109])).
% 3.65/3.80 tff(13111,plain,
% 3.65/3.80 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2366, 13110, 856, 3])).
% 3.65/3.80 tff(13112,plain,
% 3.65/3.80 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[596, 13111])).
% 3.65/3.80 tff(13113,plain,
% 3.65/3.80 (~b(s(s(s(z))), s(z))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13009, 13110, 3, 856])).
% 3.65/3.80 tff(13114,plain,
% 3.65/3.80 (r(s(s(s(z))), s(z))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[535, 13113])).
% 3.65/3.80 tff(13115,plain,
% 3.65/3.80 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12207, 13114, 13112, 2296])).
% 3.65/3.80 tff(13116,plain,
% 3.65/3.80 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3417, 13115])).
% 3.65/3.80 tff(13117,plain,
% 3.65/3.80 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11416, 13112, 2296])).
% 3.65/3.80 tff(13118,plain,
% 3.65/3.80 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[233, 13117])).
% 3.65/3.80 tff(13119,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12977, 13118, 13116, 3, 1])).
% 3.65/3.80 tff(13120,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13121,plain,
% 3.65/3.80 (~r(s(s(s(z))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13120, 13029, 3, 13108, 12197, 13027])).
% 3.65/3.80 tff(13122,plain,
% 3.65/3.80 (b(s(s(s(z))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2303, 13121])).
% 3.65/3.80 tff(13123,plain,
% 3.65/3.80 (~b(z, s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[8785, 13122, 13029, 13108])).
% 3.65/3.80 tff(13124,plain,
% 3.65/3.80 (r(z, s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[581, 13123])).
% 3.65/3.80 tff(13125,plain,
% 3.65/3.80 (~b(s(z), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3821, 13122, 13029, 13108])).
% 3.65/3.80 tff(13126,plain,
% 3.65/3.80 (r(s(z), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3759, 13125])).
% 3.65/3.80 tff(13127,plain,
% 3.65/3.80 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[11392, 13126, 117, 13027])).
% 3.65/3.80 tff(13128,plain,
% 3.65/3.80 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3417, 13127])).
% 3.65/3.80 tff(13129,plain,
% 3.65/3.80 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12977, 13128, 3, 13029])).
% 3.65/3.80 tff(13130,plain,
% 3.65/3.80 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[233, 13129])).
% 3.65/3.80 tff(13131,plain,
% 3.65/3.80 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[10679, 13128, 3, 13108])).
% 3.65/3.80 tff(13132,plain,
% 3.65/3.80 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[596, 13131])).
% 3.65/3.80 tff(13133,plain,
% 3.65/3.80 ($false),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[8038, 13132, 13130, 12197, 13027, 13124])).
% 3.65/3.80 tff(13134,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.80 tff(13135,plain,
% 3.65/3.80 (~r(s(z), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13134, 3, 16])).
% 3.65/3.80 tff(13136,plain,
% 3.65/3.80 (b(s(z), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[796, 13135])).
% 3.65/3.80 tff(13137,plain,
% 3.65/3.80 (~r(s(z), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[1992, 1028, 11, 9])).
% 3.65/3.80 tff(13138,plain,
% 3.65/3.80 (b(s(z), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[564, 13137])).
% 3.65/3.80 tff(13139,plain,
% 3.65/3.80 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2700, 13138, 13136, 12209])).
% 3.65/3.80 tff(13140,plain,
% 3.65/3.80 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[2750, 13139])).
% 3.65/3.80 tff(13141,plain,
% 3.65/3.80 ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[4731, 76, 350, 16, 2296])).
% 3.65/3.80 tff(13142,plain,
% 3.65/3.80 (~r(s(s(s(s(z)))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13141, 13140])).
% 3.65/3.80 tff(13143,plain,
% 3.65/3.80 (b(s(s(s(s(z)))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[170, 13142])).
% 3.65/3.80 tff(13144,plain,
% 3.65/3.80 (~b(s(z), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[6470, 13138, 12209, 12211])).
% 3.65/3.80 tff(13145,plain,
% 3.65/3.80 (r(s(z), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[3759, 13144])).
% 3.65/3.80 tff(13146,plain,
% 3.65/3.80 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[5378, 13143, 13136, 13138, 12221])).
% 3.65/3.80 tff(13147,plain,
% 3.65/3.80 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[1871, 13146])).
% 3.65/3.80 tff(13148,plain,
% 3.65/3.80 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[12948, 13147, 12221, 11, 13138, 12197, 13143, 12209, 3])).
% 3.65/3.80 tff(13149,plain,
% 3.65/3.80 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[610, 13148])).
% 3.65/3.80 tff(13150,plain,
% 3.65/3.80 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[917, 13149, 13145, 350])).
% 3.65/3.80 tff(13151,plain,
% 3.65/3.80 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[627, 13150])).
% 3.65/3.80 tff(13152,plain,
% 3.65/3.80 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[10115, 213, 12221, 13143, 13151])).
% 3.65/3.80 tff(13153,plain,
% 3.65/3.80 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[316, 13152])).
% 3.65/3.80 tff(13154,plain,
% 3.65/3.80 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[6686, 76, 16, 12197, 13149])).
% 3.65/3.80 tff(13155,plain,
% 3.65/3.80 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13154, 13153])).
% 3.65/3.80 tff(13156,plain,
% 3.65/3.80 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[484, 13155])).
% 3.65/3.80 tff(13157,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.80 inference(rewrite,[status(thm)],[])).
% 3.65/3.80 tff(13158,plain,
% 3.65/3.80 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(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(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(s(s(s(z)))))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.65/3.80 inference(rewrite,[status(thm)],[])).
% 3.65/3.80 tff(13159,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.65/3.80 inference(monotonicity,[status(thm)],[13158])).
% 3.65/3.80 tff(13160,plain,
% 3.65/3.80 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.80 inference(transitivity,[status(thm)],[13159, 13157])).
% 3.65/3.80 tff(13161,plain,
% 3.65/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(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(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(s(s(s(z))))))))))))),
% 3.65/3.80 inference(quant_inst,[status(thm)],[])).
% 3.65/3.80 tff(13162,plain,
% 3.65/3.80 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.80 inference(modus_ponens,[status(thm)],[13161, 13160])).
% 3.65/3.80 tff(13163,plain,
% 3.65/3.80 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[13162, 213, 12221, 13143, 13151])).
% 3.65/3.80 tff(13164,plain,
% 3.65/3.80 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.80 inference(unit_resolution,[status(thm)],[338, 13163])).
% 3.65/3.80 tff(13165,plain,
% 3.65/3.81 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[965, 13164, 12197, 13153])).
% 3.65/3.81 tff(13166,plain,
% 3.65/3.81 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[436, 13165])).
% 3.65/3.81 tff(13167,plain,
% 3.65/3.81 ($false),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[2524, 13166, 13156, 13143, 12224, 12199])).
% 3.65/3.81 tff(13168,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.81 tff(13169,plain,
% 3.65/3.81 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13168, 9, 350, 11, 3, 2296, 16])).
% 3.65/3.81 tff(13170,plain,
% 3.65/3.81 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[1042, 13169])).
% 3.65/3.81 tff(13171,plain,
% 3.65/3.81 (~b(s(z), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13009, 13170, 3, 12209])).
% 3.65/3.81 tff(13172,plain,
% 3.65/3.81 (r(s(z), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[564, 13171])).
% 3.65/3.81 tff(13173,plain,
% 3.65/3.81 (~r(s(z), z)),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[11469, 13172, 11, 9])).
% 3.65/3.81 tff(13174,plain,
% 3.65/3.81 (b(s(z), z)),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[3759, 13173])).
% 3.65/3.81 tff(13175,plain,
% 3.65/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13176,plain,
% 3.65/3.81 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13177,plain,
% 3.65/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))))),
% 3.65/3.81 inference(monotonicity,[status(thm)],[13176])).
% 3.65/3.81 tff(13178,plain,
% 3.65/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))))),
% 3.65/3.81 inference(transitivity,[status(thm)],[13177, 13175])).
% 3.65/3.81 tff(13179,plain,
% 3.65/3.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.81 inference(quant_inst,[status(thm)],[])).
% 3.65/3.81 tff(13180,plain,
% 3.65/3.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))),
% 3.65/3.81 inference(modus_ponens,[status(thm)],[13179, 13178])).
% 3.65/3.81 tff(13181,plain,
% 3.65/3.81 ($false),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13180, 76, 10, 11, 10954, 2296, 1556])).
% 3.65/3.81 tff(13182,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.81 tff(13183,plain,
% 3.65/3.81 (~r(z, s(s(s(s(z)))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13182, 1556, 2296, 11])).
% 3.65/3.81 tff(13184,plain,
% 3.65/3.81 (b(z, s(s(s(s(z)))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[5013, 13183])).
% 3.65/3.81 tff(13185,plain,
% 3.65/3.81 (~b(s(s(s(s(z)))), z)),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[5440, 13184, 782, 3771])).
% 3.65/3.81 tff(13186,plain,
% 3.65/3.81 (r(s(s(s(s(z)))), z)),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[170, 13185])).
% 3.65/3.81 tff(13187,plain,
% 3.65/3.81 ($false),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[5295, 76, 13186, 11, 5, 2296, 1556])).
% 3.65/3.81 tff(13188,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.81 tff(13189,plain,
% 3.65/3.81 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13188, 13174, 12197, 2296, 13136, 11])).
% 3.65/3.81 tff(13190,plain,
% 3.65/3.81 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[1871, 13189])).
% 3.65/3.81 tff(13191,plain,
% 3.65/3.81 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[4169, 13190, 13136, 11, 12209, 13172])).
% 3.65/3.81 tff(13192,plain,
% 3.65/3.81 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[153, 13191])).
% 3.65/3.81 tff(13193,plain,
% 3.65/3.81 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[2745, 13190, 13136, 12209])).
% 3.65/3.81 tff(13194,plain,
% 3.65/3.81 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[2750, 13193])).
% 3.65/3.81 tff(13195,plain,
% 3.65/3.81 (~r(s(s(s(s(z)))), z)),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13141, 13194])).
% 3.65/3.81 tff(13196,plain,
% 3.65/3.81 (b(s(s(s(s(z)))), z)),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[170, 13195])).
% 3.65/3.81 tff(13197,plain,
% 3.65/3.81 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[2745, 2350, 13136, 8])).
% 3.65/3.81 tff(13198,plain,
% 3.65/3.81 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[2750, 13197])).
% 3.65/3.81 tff(13199,plain,
% 3.65/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13200,plain,
% 3.65/3.81 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13201,plain,
% 3.65/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z)))))))),
% 3.65/3.81 inference(monotonicity,[status(thm)],[13200])).
% 3.65/3.81 tff(13202,plain,
% 3.65/3.81 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))))),
% 3.65/3.81 inference(transitivity,[status(thm)],[13201, 13199])).
% 3.65/3.81 tff(13203,plain,
% 3.65/3.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))))))),
% 3.65/3.81 inference(quant_inst,[status(thm)],[])).
% 3.65/3.81 tff(13204,plain,
% 3.65/3.81 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z)))))),
% 3.65/3.81 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 3.65/3.81 tff(13205,plain,
% 3.65/3.81 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13204, 76, 16, 706, 1027, 13198])).
% 3.65/3.81 tff(13206,plain,
% 3.65/3.81 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[338, 13205])).
% 3.65/3.81 tff(13207,plain,
% 3.65/3.81 (~b(z, s(s(s(s(z)))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[5440, 191, 13136, 3771])).
% 3.65/3.81 tff(13208,plain,
% 3.65/3.81 (r(z, s(s(s(s(z)))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[5013, 13207])).
% 3.65/3.81 tff(13209,plain,
% 3.65/3.81 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[4308, 76, 13208, 16, 706])).
% 3.65/3.81 tff(13210,plain,
% 3.65/3.81 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13209, 705])).
% 3.65/3.81 tff(13211,plain,
% 3.65/3.81 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[627, 13210])).
% 3.65/3.81 tff(13212,plain,
% 3.65/3.81 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[6686, 76, 16, 12197, 706])).
% 3.65/3.81 tff(13213,plain,
% 3.65/3.81 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13212, 705])).
% 3.65/3.81 tff(13214,plain,
% 3.65/3.81 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[484, 13213])).
% 3.65/3.81 tff(13215,plain,
% 3.65/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13216,plain,
% 3.65/3.81 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13217,plain,
% 3.65/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.65/3.81 inference(monotonicity,[status(thm)],[13216])).
% 3.65/3.81 tff(13218,plain,
% 3.65/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.81 inference(transitivity,[status(thm)],[13217, 13215])).
% 3.65/3.81 tff(13219,plain,
% 3.65/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.81 inference(quant_inst,[status(thm)],[])).
% 3.65/3.81 tff(13220,plain,
% 3.65/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.81 inference(modus_ponens,[status(thm)],[13219, 13218])).
% 3.65/3.81 tff(13221,plain,
% 3.65/3.81 ($false),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13220, 213, 3771, 191, 3, 203, 13214, 464, 13211])).
% 3.65/3.81 tff(13222,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.81 tff(13223,plain,
% 3.65/3.81 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13222, 13206, 191, 3, 203, 3771, 16, 706])).
% 3.65/3.81 tff(13224,plain,
% 3.65/3.81 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[316, 13223])).
% 3.65/3.81 tff(13225,plain,
% 3.65/3.81 ($false),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[1903, 213, 13136, 13206, 8, 13224, 2350])).
% 3.65/3.81 tff(13226,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.81 tff(13227,plain,
% 3.65/3.81 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13226, 12209, 13190, 13196, 3, 13192, 13174, 16, 13172])).
% 3.65/3.81 tff(13228,plain,
% 3.65/3.81 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[610, 13227])).
% 3.65/3.81 tff(13229,plain,
% 3.65/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13230,plain,
% 3.65/3.81 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13231,plain,
% 3.65/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 3.65/3.81 inference(monotonicity,[status(thm)],[13230])).
% 3.65/3.81 tff(13232,plain,
% 3.65/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.65/3.81 inference(transitivity,[status(thm)],[13231, 13229])).
% 3.65/3.81 tff(13233,plain,
% 3.65/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.81 inference(quant_inst,[status(thm)],[])).
% 3.65/3.81 tff(13234,plain,
% 3.65/3.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 3.65/3.81 inference(modus_ponens,[status(thm)],[13233, 13232])).
% 3.65/3.81 tff(13235,plain,
% 3.65/3.81 ((~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13234, 213, 281, 3, 203, 8, 2350])).
% 3.65/3.81 tff(13236,plain,
% 3.65/3.81 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[13235, 717])).
% 3.65/3.81 tff(13237,plain,
% 3.65/3.81 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[4243, 13236])).
% 3.65/3.81 tff(13238,plain,
% 3.65/3.81 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[2745, 2350, 782, 8])).
% 3.65/3.81 tff(13239,plain,
% 3.65/3.81 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.81 inference(unit_resolution,[status(thm)],[2750, 13238])).
% 3.65/3.81 tff(13240,plain,
% 3.65/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13241,plain,
% 3.65/3.81 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.65/3.81 inference(rewrite,[status(thm)],[])).
% 3.65/3.81 tff(13242,plain,
% 3.65/3.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 3.65/3.82 inference(monotonicity,[status(thm)],[13241])).
% 3.65/3.82 tff(13243,plain,
% 3.65/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.65/3.82 inference(transitivity,[status(thm)],[13242, 13240])).
% 3.65/3.82 tff(13244,plain,
% 3.65/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.65/3.82 inference(quant_inst,[status(thm)],[])).
% 3.65/3.82 tff(13245,plain,
% 3.65/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 3.65/3.82 inference(modus_ponens,[status(thm)],[13244, 13243])).
% 3.65/3.82 tff(13246,plain,
% 3.65/3.82 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[13245, 213, 281, 3, 203, 8, 2350])).
% 3.65/3.82 tff(13247,plain,
% 3.65/3.82 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[13246, 717])).
% 3.65/3.82 tff(13248,plain,
% 3.65/3.82 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[653, 13247])).
% 3.65/3.82 tff(13249,plain,
% 3.65/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13250,plain,
% 3.65/3.82 (((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13251,plain,
% 3.65/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.65/3.82 inference(monotonicity,[status(thm)],[13250])).
% 3.65/3.82 tff(13252,plain,
% 3.65/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(transitivity,[status(thm)],[13251, 13249])).
% 3.65/3.82 tff(13253,plain,
% 3.65/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(quant_inst,[status(thm)],[])).
% 3.65/3.82 tff(13254,plain,
% 3.65/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.82 inference(modus_ponens,[status(thm)],[13253, 13252])).
% 3.65/3.82 tff(13255,plain,
% 3.65/3.82 ($false),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[13254, 76, 13248, 2432, 13239, 13237])).
% 3.65/3.82 tff(13256,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.82 tff(13257,plain,
% 3.65/3.82 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[13256, 13228, 3, 13192, 12209, 13190, 13136])).
% 3.65/3.82 tff(13258,plain,
% 3.65/3.82 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[316, 13257])).
% 3.65/3.82 tff(13259,plain,
% 3.65/3.82 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[5845, 13258, 9, 11, 3, 13172, 12197, 13228])).
% 3.65/3.82 tff(13260,plain,
% 3.65/3.82 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[653, 13259])).
% 3.65/3.82 tff(13261,plain,
% 3.65/3.82 (~b(z, s(s(s(s(z)))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[5440, 13196, 13136, 13174])).
% 3.65/3.82 tff(13262,plain,
% 3.65/3.82 (r(z, s(s(s(s(z)))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[5013, 13261])).
% 3.65/3.82 tff(13263,plain,
% 3.65/3.82 (~r(z, s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[7283, 13262, 350, 16, 13172])).
% 3.65/3.82 tff(13264,plain,
% 3.65/3.82 (b(z, s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[581, 13263])).
% 3.65/3.82 tff(13265,plain,
% 3.65/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13266,plain,
% 3.65/3.82 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13267,plain,
% 3.65/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z)))))))),
% 3.65/3.82 inference(monotonicity,[status(thm)],[13266])).
% 3.65/3.82 tff(13268,plain,
% 3.65/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.82 inference(transitivity,[status(thm)],[13267, 13265])).
% 3.65/3.82 tff(13269,plain,
% 3.65/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(quant_inst,[status(thm)],[])).
% 3.65/3.82 tff(13270,plain,
% 3.65/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z)))))),
% 3.65/3.82 inference(modus_ponens,[status(thm)],[13269, 13268])).
% 3.65/3.82 tff(13271,plain,
% 3.65/3.82 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[13270, 213, 13174, 13228, 3, 13170, 13264, 13260])).
% 3.65/3.82 tff(13272,plain,
% 3.65/3.82 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[436, 13271])).
% 3.65/3.82 tff(13273,plain,
% 3.65/3.82 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[11029, 13272, 13264, 13260])).
% 3.65/3.82 tff(13274,plain,
% 3.65/3.82 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[4243, 13273])).
% 3.65/3.82 tff(13275,plain,
% 3.65/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13276,plain,
% 3.65/3.82 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13277,plain,
% 3.65/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z)))))))),
% 3.65/3.82 inference(monotonicity,[status(thm)],[13276])).
% 3.65/3.82 tff(13278,plain,
% 3.65/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.82 inference(transitivity,[status(thm)],[13277, 13275])).
% 3.65/3.82 tff(13279,plain,
% 3.65/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.82 inference(quant_inst,[status(thm)],[])).
% 3.65/3.82 tff(13280,plain,
% 3.65/3.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z)))))),
% 3.65/3.82 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 3.65/3.82 tff(13281,plain,
% 3.65/3.82 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[13280, 213, 13174, 13228, 3, 13170, 13264, 13260])).
% 3.65/3.82 tff(13282,plain,
% 3.65/3.82 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[484, 13281])).
% 3.65/3.82 tff(13283,plain,
% 3.65/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13284,plain,
% 3.65/3.82 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13285,plain,
% 3.65/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.65/3.82 inference(monotonicity,[status(thm)],[13284])).
% 3.65/3.82 tff(13286,plain,
% 3.65/3.82 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(transitivity,[status(thm)],[13285, 13283])).
% 3.65/3.82 tff(13287,plain,
% 3.65/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.82 inference(quant_inst,[status(thm)],[])).
% 3.65/3.82 tff(13288,plain,
% 3.65/3.82 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.82 inference(modus_ponens,[status(thm)],[13287, 13286])).
% 3.65/3.82 tff(13289,plain,
% 3.65/3.82 ($false),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[13288, 76, 11, 10954, 13282, 13274, 2296])).
% 3.65/3.82 tff(13290,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.82 tff(13291,plain,
% 3.65/3.82 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[13290, 11, 2296, 3, 16, 350])).
% 3.65/3.82 tff(13292,plain,
% 3.65/3.82 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[3417, 13291])).
% 3.65/3.82 tff(13293,plain,
% 3.65/3.82 (~b(s(z), z)),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[9384, 13292, 12199, 3])).
% 3.65/3.82 tff(13294,plain,
% 3.65/3.82 (r(s(z), z)),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[3759, 13293])).
% 3.65/3.82 tff(13295,plain,
% 3.65/3.82 (~r(s(s(s(z))), s(z))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[2775, 13294, 350, 2296])).
% 3.65/3.82 tff(13296,plain,
% 3.65/3.82 (b(s(s(s(z))), s(z))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[535, 13295])).
% 3.65/3.82 tff(13297,plain,
% 3.65/3.82 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[8013, 213, 3, 13296, 13292])).
% 3.65/3.82 tff(13298,plain,
% 3.65/3.82 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[1042, 13297])).
% 3.65/3.82 tff(13299,plain,
% 3.65/3.82 (~r(z, s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[11146, 13298, 2296])).
% 3.65/3.82 tff(13300,plain,
% 3.65/3.82 (b(z, s(s(s(z))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[581, 13299])).
% 3.65/3.82 tff(13301,plain,
% 3.65/3.82 (~r(z, s(s(s(s(z)))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[12219, 13298, 12197, 2296])).
% 3.65/3.82 tff(13302,plain,
% 3.65/3.82 (b(z, s(s(s(s(z)))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[5013, 13301])).
% 3.65/3.82 tff(13303,plain,
% 3.65/3.82 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[12222, 13302, 11, 2296, 13298, 13300])).
% 3.65/3.82 tff(13304,plain,
% 3.65/3.82 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[153, 13303])).
% 3.65/3.82 tff(13305,plain,
% 3.65/3.82 (~r(s(s(s(s(z)))), z)),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[3355, 13294, 16, 350])).
% 3.65/3.82 tff(13306,plain,
% 3.65/3.82 (b(s(s(s(s(z)))), z)),
% 3.65/3.82 inference(unit_resolution,[status(thm)],[170, 13305])).
% 3.65/3.82 tff(13307,plain,
% 3.65/3.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.82 tff(13308,plain,
% 3.65/3.82 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.65/3.82 inference(rewrite,[status(thm)],[])).
% 3.65/3.83 tff(13309,plain,
% 3.65/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z))))),
% 3.65/3.83 inference(monotonicity,[status(thm)],[13308])).
% 3.65/3.83 tff(13310,plain,
% 3.65/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)))),
% 3.65/3.83 inference(transitivity,[status(thm)],[13309, 13307])).
% 3.65/3.83 tff(13311,plain,
% 3.65/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.65/3.83 inference(quant_inst,[status(thm)],[])).
% 3.65/3.83 tff(13312,plain,
% 3.65/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z))),
% 3.65/3.83 inference(modus_ponens,[status(thm)],[13311, 13310])).
% 3.65/3.83 tff(13313,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13312, 213, 13306, 3, 13304, 13292, 12199])).
% 3.65/3.83 tff(13314,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13315,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13314, 350, 2296, 3, 16])).
% 3.65/3.83 tff(13316,plain,
% 3.65/3.83 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[596, 13315])).
% 3.65/3.83 tff(13317,plain,
% 3.65/3.83 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13141, 155])).
% 3.65/3.83 tff(13318,plain,
% 3.65/3.83 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2750, 13317])).
% 3.65/3.83 tff(13319,plain,
% 3.65/3.83 (~r(z, s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13044, 155, 5])).
% 3.65/3.83 tff(13320,plain,
% 3.65/3.83 (b(z, s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[5013, 13319])).
% 3.65/3.83 tff(13321,plain,
% 3.65/3.83 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11616, 155, 16, 350])).
% 3.65/3.83 tff(13322,plain,
% 3.65/3.83 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[153, 13321])).
% 3.65/3.83 tff(13323,plain,
% 3.65/3.83 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3458, 13318, 506, 13322])).
% 3.65/3.83 tff(13324,plain,
% 3.65/3.83 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[1042, 13323])).
% 3.65/3.83 tff(13325,plain,
% 3.65/3.83 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11454, 13324, 13320, 13318])).
% 3.65/3.83 tff(13326,plain,
% 3.65/3.83 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[1871, 13325])).
% 3.65/3.83 tff(13327,plain,
% 3.65/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.65/3.83 inference(rewrite,[status(thm)],[])).
% 3.65/3.83 tff(13328,plain,
% 3.65/3.83 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.65/3.83 inference(rewrite,[status(thm)],[])).
% 3.65/3.83 tff(13329,plain,
% 3.65/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.65/3.83 inference(monotonicity,[status(thm)],[13328])).
% 3.65/3.83 tff(13330,plain,
% 3.65/3.83 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.65/3.83 inference(transitivity,[status(thm)],[13329, 13327])).
% 3.65/3.83 tff(13331,plain,
% 3.65/3.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.65/3.83 inference(quant_inst,[status(thm)],[])).
% 3.65/3.83 tff(13332,plain,
% 3.65/3.83 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.65/3.83 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 3.65/3.83 tff(13333,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13332, 76, 155, 5, 10954, 13324, 13326])).
% 3.65/3.83 tff(13334,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13335,plain,
% 3.65/3.83 (~r(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13334, 13316, 12197, 350, 16, 2296])).
% 3.65/3.83 tff(13336,plain,
% 3.65/3.83 (b(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[170, 13335])).
% 3.65/3.83 tff(13337,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2775, 2, 350, 2296])).
% 3.65/3.83 tff(13338,plain,
% 3.65/3.83 (b(s(s(s(z))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[535, 13337])).
% 3.65/3.83 tff(13339,plain,
% 3.65/3.83 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[7428, 13338, 506, 3])).
% 3.65/3.83 tff(13340,plain,
% 3.65/3.83 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3417, 13339])).
% 3.65/3.83 tff(13341,plain,
% 3.65/3.83 (~b(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13009, 1507, 3, 8])).
% 3.65/3.83 tff(13342,plain,
% 3.65/3.83 (r(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[564, 13341])).
% 3.65/3.83 tff(13343,plain,
% 3.65/3.83 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[7428, 8, 506, 3])).
% 3.65/3.83 tff(13344,plain,
% 3.65/3.83 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3417, 13343])).
% 3.65/3.83 tff(13345,plain,
% 3.65/3.83 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11098, 13344, 2])).
% 3.65/3.83 tff(13346,plain,
% 3.65/3.83 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[233, 13345])).
% 3.65/3.83 tff(13347,plain,
% 3.65/3.83 (~b(z, s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2293, 1507, 506, 13346])).
% 3.65/3.83 tff(13348,plain,
% 3.65/3.83 (r(z, s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[581, 13347])).
% 3.65/3.83 tff(13349,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[7931, 13348, 13342, 2296, 2])).
% 3.65/3.83 tff(13350,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13351,plain,
% 3.65/3.83 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13350, 2, 2296, 506, 3, 13338])).
% 3.65/3.83 tff(13352,plain,
% 3.65/3.83 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[1042, 13351])).
% 3.65/3.83 tff(13353,plain,
% 3.65/3.83 (~r(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2298, 13352, 2296, 2, 13340])).
% 3.65/3.83 tff(13354,plain,
% 3.65/3.83 (b(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[564, 13353])).
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% 3.65/3.83 tff(13357,plain,
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% 3.65/3.83 inference(unit_resolution,[status(thm)],[13356, 13316, 3, 2296, 350])).
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% 3.65/3.83 inference(unit_resolution,[status(thm)],[3759, 13357])).
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% 3.65/3.83 inference(unit_resolution,[status(thm)],[5013, 13359])).
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% 3.65/3.83 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[12219, 13360, 12197, 2296])).
% 3.65/3.83 tff(13362,plain,
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% 3.65/3.83 inference(unit_resolution,[status(thm)],[1042, 13361])).
% 3.65/3.83 tff(13363,plain,
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% 3.65/3.83 inference(unit_resolution,[status(thm)],[2366, 13362, 13316, 3])).
% 3.65/3.83 tff(13364,plain,
% 3.65/3.83 (r(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[564, 13363])).
% 3.65/3.83 tff(13365,plain,
% 3.65/3.83 ((~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(z)))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[7564, 76, 350, 16, 12197])).
% 3.65/3.83 tff(13366,plain,
% 3.65/3.83 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13365, 13360])).
% 3.65/3.83 tff(13367,plain,
% 3.65/3.83 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[233, 13366])).
% 3.65/3.83 tff(13368,plain,
% 3.65/3.83 (~b(z, s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2293, 13362, 13316, 13367])).
% 3.65/3.83 tff(13369,plain,
% 3.65/3.83 (r(z, s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[581, 13368])).
% 3.65/3.83 tff(13370,plain,
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% 3.65/3.83 inference(unit_resolution,[status(thm)],[7283, 13369, 13364, 350, 16, 13360])).
% 3.65/3.83 tff(13371,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13372,plain,
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% 3.65/3.83 inference(unit_resolution,[status(thm)],[13371, 2296, 3, 16])).
% 3.65/3.83 tff(13373,plain,
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% 3.65/3.83 inference(unit_resolution,[status(thm)],[370, 13372])).
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% 3.65/3.83 (~r(z, s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[12219, 1028, 5, 2296])).
% 3.65/3.83 tff(13375,plain,
% 3.65/3.83 (b(z, s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[5013, 13374])).
% 3.65/3.83 tff(13376,plain,
% 3.65/3.83 (~b(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[9753, 13375, 782, 1])).
% 3.65/3.83 tff(13377,plain,
% 3.65/3.83 (r(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[170, 13376])).
% 3.65/3.83 tff(13378,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13332, 76, 155, 5, 10954, 1028, 1556])).
% 3.65/3.83 tff(13379,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13380,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13379, 13377, 5, 1028])).
% 3.65/3.83 tff(13381,plain,
% 3.65/3.83 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[1871, 13380])).
% 3.65/3.83 tff(13382,plain,
% 3.65/3.83 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[5307, 13381, 13375, 12211])).
% 3.65/3.83 tff(13383,plain,
% 3.65/3.83 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2750, 13382])).
% 3.65/3.83 tff(13384,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[12257, 76, 5, 10954, 1028, 13383, 2296])).
% 3.65/3.83 tff(13385,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13386,plain,
% 3.65/3.83 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13385, 2296, 12197, 13136, 13373])).
% 3.65/3.83 tff(13387,plain,
% 3.65/3.83 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[1042, 13386])).
% 3.65/3.83 tff(13388,plain,
% 3.65/3.83 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13054, 10, 13387, 12197, 2350])).
% 3.65/3.83 tff(13389,plain,
% 3.65/3.83 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[233, 13388])).
% 3.65/3.83 tff(13390,plain,
% 3.65/3.83 (~b(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13120, 10, 3, 2296, 12197, 13373])).
% 3.65/3.83 tff(13391,plain,
% 3.65/3.83 (r(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[564, 13390])).
% 3.65/3.83 tff(13392,plain,
% 3.65/3.83 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[12977, 13389, 3, 13373])).
% 3.65/3.83 tff(13393,plain,
% 3.65/3.83 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3417, 13392])).
% 3.65/3.83 tff(13394,plain,
% 3.65/3.83 (~r(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13044, 10, 12197])).
% 3.65/3.83 tff(13395,plain,
% 3.65/3.83 (b(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[170, 13394])).
% 3.65/3.83 tff(13396,plain,
% 3.65/3.83 (~r(s(z), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11469, 11, 1027, 9])).
% 3.65/3.83 tff(13397,plain,
% 3.65/3.83 (b(s(z), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3759, 13396])).
% 3.65/3.83 tff(13398,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[12207, 11, 9, 2296])).
% 3.65/3.83 tff(13399,plain,
% 3.65/3.83 (b(s(s(s(z))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[535, 13398])).
% 3.65/3.83 tff(13400,plain,
% 3.65/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.83 inference(rewrite,[status(thm)],[])).
% 3.65/3.83 tff(13401,plain,
% 3.65/3.83 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.83 inference(rewrite,[status(thm)],[])).
% 3.65/3.83 tff(13402,plain,
% 3.65/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.65/3.83 inference(monotonicity,[status(thm)],[13401])).
% 3.65/3.83 tff(13403,plain,
% 3.65/3.83 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.83 inference(transitivity,[status(thm)],[13402, 13400])).
% 3.65/3.83 tff(13404,plain,
% 3.65/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.83 inference(quant_inst,[status(thm)],[])).
% 3.65/3.83 tff(13405,plain,
% 3.65/3.83 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.65/3.83 inference(modus_ponens,[status(thm)],[13404, 13403])).
% 3.65/3.83 tff(13406,plain,
% 3.65/3.83 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13405, 213, 3771, 1, 281, 3])).
% 3.65/3.83 tff(13407,plain,
% 3.65/3.83 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[436, 13406])).
% 3.65/3.83 tff(13408,plain,
% 3.65/3.83 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[6084, 213, 3771, 1, 281])).
% 3.65/3.83 tff(13409,plain,
% 3.65/3.83 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[627, 13408])).
% 3.65/3.83 tff(13410,plain,
% 3.65/3.83 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[6076, 213, 3771, 1, 281])).
% 3.65/3.83 tff(13411,plain,
% 3.65/3.83 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[819, 13410])).
% 3.65/3.83 tff(13412,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11025, 13411, 13409, 13407])).
% 3.65/3.83 tff(13413,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13414,plain,
% 3.65/3.83 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13413, 13397, 13373, 3])).
% 3.65/3.83 tff(13415,plain,
% 3.65/3.83 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[610, 13414])).
% 3.65/3.83 tff(13416,plain,
% 3.65/3.83 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[4169, 13399, 13136, 2350, 11, 1027])).
% 3.65/3.83 tff(13417,plain,
% 3.65/3.83 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[153, 13416])).
% 3.65/3.83 tff(13418,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13226, 13417, 13415, 2350, 191, 3, 13399, 13397, 16, 1027])).
% 3.65/3.83 tff(13419,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13420,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13419, 13395, 2350, 3, 16, 13391, 13393, 2296])).
% 3.65/3.83 tff(13421,plain,
% 3.65/3.83 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[596, 13420])).
% 3.65/3.83 tff(13422,plain,
% 3.65/3.83 (~b(z, s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2293, 13421, 13387, 13389])).
% 3.65/3.83 tff(13423,plain,
% 3.65/3.83 (r(z, s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[581, 13422])).
% 3.65/3.83 tff(13424,plain,
% 3.65/3.83 (~r(s(z), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[7931, 13423, 2296, 13391])).
% 3.65/3.83 tff(13425,plain,
% 3.65/3.83 (b(s(z), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3759, 13424])).
% 3.65/3.83 tff(13426,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11424, 213, 13425, 13373, 3, 13389])).
% 3.65/3.83 tff(13427,plain,((~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13428,plain,
% 3.65/3.83 (~r(z, s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13427, 2350, 2296, 3, 16])).
% 3.65/3.83 tff(13429,plain,
% 3.65/3.83 (b(z, s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[5013, 13428])).
% 3.65/3.83 tff(13430,plain,
% 3.65/3.83 (~b(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[9753, 13429, 13136, 13373])).
% 3.65/3.83 tff(13431,plain,
% 3.65/3.83 (r(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[170, 13430])).
% 3.65/3.83 tff(13432,plain,
% 3.65/3.83 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11220, 6, 155, 16])).
% 3.65/3.83 tff(13433,plain,
% 3.65/3.83 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3417, 13432])).
% 3.65/3.83 tff(13434,plain,
% 3.65/3.83 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11631, 6, 155])).
% 3.65/3.83 tff(13435,plain,
% 3.65/3.83 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[233, 13434])).
% 3.65/3.83 tff(13436,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[12977, 13435, 13433, 3, 1])).
% 3.65/3.83 tff(13437,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13438,plain,
% 3.65/3.83 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13437, 13431, 13373, 3, 16])).
% 3.65/3.83 tff(13439,plain,
% 3.65/3.83 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[153, 13438])).
% 3.65/3.83 tff(13440,plain,
% 3.65/3.83 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13037, 13439, 13387, 2350])).
% 3.65/3.83 tff(13441,plain,
% 3.65/3.83 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[596, 13440])).
% 3.65/3.83 tff(13442,plain,
% 3.65/3.83 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11416, 13441, 2296])).
% 3.65/3.83 tff(13443,plain,
% 3.65/3.83 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[233, 13442])).
% 3.65/3.83 tff(13444,plain,
% 3.65/3.83 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[12977, 13443, 3, 13373])).
% 3.65/3.83 tff(13445,plain,
% 3.65/3.83 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3417, 13444])).
% 3.65/3.83 tff(13446,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[12207, 13445, 13441, 2296])).
% 3.65/3.83 tff(13447,plain,
% 3.65/3.83 (b(s(s(s(z))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[535, 13446])).
% 3.65/3.83 tff(13448,plain,
% 3.65/3.83 (~b(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13009, 13447, 3, 13387])).
% 3.65/3.83 tff(13449,plain,
% 3.65/3.83 (r(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[564, 13448])).
% 3.65/3.83 tff(13450,plain,
% 3.65/3.83 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2745, 13447, 13136, 2350])).
% 3.65/3.83 tff(13451,plain,
% 3.65/3.83 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2750, 13450])).
% 3.65/3.83 tff(13452,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[7701, 13451, 13449, 16, 2296, 13431])).
% 3.65/3.83 tff(13453,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13454,plain,
% 3.65/3.83 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13453, 2296, 16, 3])).
% 3.65/3.83 tff(13455,plain,
% 3.65/3.83 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[1871, 13454])).
% 3.65/3.83 tff(13456,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[5295, 76, 155, 12197, 2296, 13455])).
% 3.65/3.83 tff(13457,plain,
% 3.65/3.83 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[596, 13456])).
% 3.65/3.83 tff(13458,plain,
% 3.65/3.83 (~b(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2366, 13457, 13387, 3])).
% 3.65/3.83 tff(13459,plain,
% 3.65/3.83 (r(s(z), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[564, 13458])).
% 3.65/3.83 tff(13460,plain,
% 3.65/3.83 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13437, 155, 13373, 3, 16])).
% 3.65/3.83 tff(13461,plain,
% 3.65/3.83 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[153, 13460])).
% 3.65/3.83 tff(13462,plain,
% 3.65/3.83 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3458, 13457, 13387, 13461])).
% 3.65/3.83 tff(13463,plain,
% 3.65/3.83 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[2750, 13462])).
% 3.65/3.83 tff(13464,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[7701, 13463, 13459, 16, 2296, 155])).
% 3.65/3.83 tff(13465,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.83 tff(13466,plain,
% 3.65/3.83 (~r(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13465, 2296, 16, 3])).
% 3.65/3.83 tff(13467,plain,
% 3.65/3.83 (b(s(s(s(s(z)))), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[170, 13466])).
% 3.65/3.83 tff(13468,plain,
% 3.65/3.83 (~b(z, s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[9753, 13467, 13136, 13373])).
% 3.65/3.83 tff(13469,plain,
% 3.65/3.83 (r(z, s(s(s(s(z)))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[5013, 13468])).
% 3.65/3.83 tff(13470,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13182, 13469, 2296, 13455])).
% 3.65/3.83 tff(13471,plain,
% 3.65/3.83 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[596, 13470])).
% 3.65/3.83 tff(13472,plain,
% 3.65/3.83 (~r(s(s(s(z))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[4278, 13469, 2296, 16, 13455])).
% 3.65/3.83 tff(13473,plain,
% 3.65/3.83 (b(s(s(s(z))), s(z))),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[535, 13472])).
% 3.65/3.83 tff(13474,plain,
% 3.65/3.83 (~b(s(z), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[11095, 13473, 13373, 3, 13471])).
% 3.65/3.83 tff(13475,plain,
% 3.65/3.83 (~r(s(z), z)),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[13350, 13473, 2296, 13387, 3, 13471])).
% 3.65/3.83 tff(13476,plain,
% 3.65/3.83 ($false),
% 3.65/3.83 inference(unit_resolution,[status(thm)],[3759, 13475, 13474])).
% 3.65/3.83 tff(13477,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13478,plain,
% 3.65/3.84 (~r(s(s(s(z))), z)),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13477, 3, 16])).
% 3.65/3.84 tff(13479,plain,
% 3.65/3.84 (b(s(s(s(z))), z)),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2303, 13478])).
% 3.65/3.84 tff(13480,plain,
% 3.65/3.84 (~b(z, s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[12379, 2350, 13479, 191])).
% 3.65/3.84 tff(13481,plain,
% 3.65/3.84 (r(z, s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[5013, 13480])).
% 3.65/3.84 tff(13482,plain,
% 3.65/3.84 (~b(z, s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[12379, 2350, 1016, 191])).
% 3.65/3.84 tff(13483,plain,
% 3.65/3.84 (r(z, s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[5013, 13482])).
% 3.65/3.84 tff(13484,plain,
% 3.65/3.84 (~b(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2313, 2305, 1016, 191])).
% 3.65/3.84 tff(13485,plain,
% 3.65/3.84 (r(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[581, 13484])).
% 3.65/3.84 tff(13486,plain,
% 3.65/3.84 (~b(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2357, 2305, 782, 2350])).
% 3.65/3.84 tff(13487,plain,
% 3.65/3.84 (r(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[564, 13486])).
% 3.65/3.84 tff(13488,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[7283, 13487, 13485, 350, 16, 13483])).
% 3.65/3.84 tff(13489,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13490,plain,
% 3.65/3.84 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13489, 2350, 16, 13136, 350, 13479, 191])).
% 3.65/3.84 tff(13491,plain,
% 3.65/3.84 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2750, 13490])).
% 3.65/3.84 tff(13492,plain,
% 3.65/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13493,plain,
% 3.65/3.84 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13494,plain,
% 3.65/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.65/3.84 inference(monotonicity,[status(thm)],[13493])).
% 3.65/3.84 tff(13495,plain,
% 3.65/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.65/3.84 inference(transitivity,[status(thm)],[13494, 13492])).
% 3.65/3.84 tff(13496,plain,
% 3.65/3.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.65/3.84 inference(quant_inst,[status(thm)],[])).
% 3.65/3.84 tff(13497,plain,
% 3.65/3.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.65/3.84 inference(modus_ponens,[status(thm)],[13496, 13495])).
% 3.65/3.84 tff(13498,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13497, 76, 10, 5, 10954, 1028, 2410])).
% 3.65/3.84 tff(13499,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13500,plain,
% 3.65/3.84 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13499, 13491, 12197, 13481])).
% 3.65/3.84 tff(13501,plain,
% 3.65/3.84 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[1042, 13500])).
% 3.65/3.84 tff(13502,plain,
% 3.65/3.84 (~b(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2366, 13501, 506, 3])).
% 3.65/3.84 tff(13503,plain,
% 3.65/3.84 (r(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[564, 13502])).
% 3.65/3.84 tff(13504,plain,
% 3.65/3.84 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13365, 13481])).
% 3.65/3.84 tff(13505,plain,
% 3.65/3.84 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[233, 13504])).
% 3.65/3.84 tff(13506,plain,
% 3.65/3.84 (~b(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2293, 13501, 13505, 506])).
% 3.65/3.84 tff(13507,plain,
% 3.65/3.84 (r(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[581, 13506])).
% 3.65/3.84 tff(13508,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[7283, 13507, 13503, 350, 16, 13481])).
% 3.65/3.84 tff(13509,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13510,plain,
% 3.65/3.84 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13509, 506, 16, 350, 3, 191])).
% 3.65/3.84 tff(13511,plain,
% 3.65/3.84 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[1871, 13510])).
% 3.65/3.84 tff(13512,plain,
% 3.65/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13513,plain,
% 3.65/3.84 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13514,plain,
% 3.65/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.65/3.84 inference(monotonicity,[status(thm)],[13513])).
% 3.65/3.84 tff(13515,plain,
% 3.65/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.84 inference(transitivity,[status(thm)],[13514, 13512])).
% 3.65/3.84 tff(13516,plain,
% 3.65/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.65/3.84 inference(quant_inst,[status(thm)],[])).
% 3.65/3.84 tff(13517,plain,
% 3.65/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.65/3.84 inference(modus_ponens,[status(thm)],[13516, 13515])).
% 3.65/3.84 tff(13518,plain,
% 3.65/3.84 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13517, 213, 5015, 191, 13479])).
% 3.65/3.84 tff(13519,plain,
% 3.65/3.84 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2750, 13518])).
% 3.65/3.84 tff(13520,plain,
% 3.65/3.84 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[6612, 76, 12197, 13519, 1556])).
% 3.65/3.84 tff(13521,plain,
% 3.65/3.84 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[1042, 13520])).
% 3.65/3.84 tff(13522,plain,
% 3.65/3.84 (~b(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2366, 13521, 506, 3])).
% 3.65/3.84 tff(13523,plain,
% 3.65/3.84 (r(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[564, 13522])).
% 3.65/3.84 tff(13524,plain,
% 3.65/3.84 (~b(s(z), z)),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[5440, 5015, 13136, 191])).
% 3.65/3.84 tff(13525,plain,
% 3.65/3.84 (r(s(z), z)),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[3759, 13524])).
% 3.65/3.84 tff(13526,plain,
% 3.65/3.84 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13527,plain,
% 3.65/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))))),
% 3.65/3.84 inference(monotonicity,[status(thm)],[13526])).
% 3.65/3.84 tff(13528,plain,
% 3.65/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))))),
% 3.65/3.84 inference(transitivity,[status(thm)],[13527, 11367])).
% 3.65/3.84 tff(13529,plain,
% 3.65/3.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))))),
% 3.65/3.84 inference(quant_inst,[status(thm)],[])).
% 3.65/3.84 tff(13530,plain,
% 3.65/3.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))),
% 3.65/3.84 inference(modus_ponens,[status(thm)],[13529, 13528])).
% 3.65/3.84 tff(13531,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13530, 76, 16, 1027, 12, 2410])).
% 3.65/3.84 tff(13532,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13533,plain,
% 3.65/3.84 (~r(s(s(s(z))), s(z))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13532, 13523, 16, 13519])).
% 3.65/3.84 tff(13534,plain,
% 3.65/3.84 (b(s(s(s(z))), s(z))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[535, 13533])).
% 3.65/3.84 tff(13535,plain,
% 3.65/3.84 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[7428, 13534, 506, 3])).
% 3.65/3.84 tff(13536,plain,
% 3.65/3.84 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[3417, 13535])).
% 3.65/3.84 tff(13537,plain,
% 3.65/3.84 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[10973, 13536, 13525, 13523, 506, 16])).
% 3.65/3.84 tff(13538,plain,
% 3.65/3.84 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[153, 13537])).
% 3.65/3.84 tff(13539,plain,
% 3.65/3.84 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[11098, 13536, 13525])).
% 3.65/3.84 tff(13540,plain,
% 3.65/3.84 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[233, 13539])).
% 3.65/3.84 tff(13541,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[6062, 13540, 13538, 5015, 506, 13521])).
% 3.65/3.84 tff(13542,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13543,plain,
% 3.65/3.84 (~b(z, s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13542, 506, 16, 3, 13511, 191])).
% 3.65/3.84 tff(13544,plain,
% 3.65/3.84 (r(z, s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[5013, 13543])).
% 3.65/3.84 tff(13545,plain,
% 3.65/3.84 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13365, 13544])).
% 3.65/3.84 tff(13546,plain,
% 3.65/3.84 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[233, 13545])).
% 3.65/3.84 tff(13547,plain,
% 3.65/3.84 (~r(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[11264, 13544, 16, 350, 13511])).
% 3.65/3.84 tff(13548,plain,
% 3.65/3.84 (b(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[581, 13547])).
% 3.65/3.84 tff(13549,plain,
% 3.65/3.84 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2293, 13548, 13546, 506])).
% 3.65/3.84 tff(13550,plain,
% 3.65/3.84 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[1042, 13549])).
% 3.65/3.84 tff(13551,plain,
% 3.65/3.84 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2313, 13548, 13479, 191])).
% 3.65/3.84 tff(13552,plain,
% 3.65/3.84 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2750, 13551])).
% 3.65/3.84 tff(13553,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13499, 13552, 13550, 12197, 13544])).
% 3.65/3.84 tff(13554,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13555,plain,
% 3.65/3.84 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13554, 350, 16, 191, 3])).
% 3.65/3.84 tff(13556,plain,
% 3.65/3.84 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[596, 13555])).
% 3.65/3.84 tff(13557,plain,
% 3.65/3.84 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[12379, 5015, 1016, 191])).
% 3.65/3.84 tff(13558,plain,
% 3.65/3.84 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[1871, 13557])).
% 3.65/3.84 tff(13559,plain,
% 3.65/3.84 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13517, 213, 5015, 191, 1016])).
% 3.65/3.84 tff(13560,plain,
% 3.65/3.84 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2750, 13559])).
% 3.65/3.84 tff(13561,plain,
% 3.65/3.84 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[6612, 76, 5, 13560, 13558])).
% 3.65/3.84 tff(13562,plain,
% 3.65/3.84 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[1042, 13561])).
% 3.65/3.84 tff(13563,plain,
% 3.65/3.84 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2664, 13558, 5, 11])).
% 3.65/3.84 tff(13564,plain,
% 3.65/3.84 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[153, 13563])).
% 3.65/3.84 tff(13565,plain,
% 3.65/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13566,plain,
% 3.65/3.84 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13567,plain,
% 3.65/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z))))))))),
% 3.65/3.84 inference(monotonicity,[status(thm)],[13566])).
% 3.65/3.84 tff(13568,plain,
% 3.65/3.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.65/3.84 inference(transitivity,[status(thm)],[13567, 13565])).
% 3.65/3.84 tff(13569,plain,
% 3.65/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.65/3.84 inference(quant_inst,[status(thm)],[])).
% 3.65/3.84 tff(13570,plain,
% 3.65/3.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z))))))),
% 3.65/3.84 inference(modus_ponens,[status(thm)],[13569, 13568])).
% 3.65/3.84 tff(13571,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13570, 213, 782, 3, 203, 4])).
% 3.65/3.84 tff(13572,plain,((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13573,plain,
% 3.65/3.84 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13572, 13564, 3, 782])).
% 3.65/3.84 tff(13574,plain,
% 3.65/3.84 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[3417, 13573])).
% 3.65/3.84 tff(13575,plain,
% 3.65/3.84 (~r(s(s(s(z))), s(z))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[5640, 13574, 5, 11, 13558])).
% 3.65/3.84 tff(13576,plain,
% 3.65/3.84 (b(s(s(s(z))), s(z))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[535, 13575])).
% 3.65/3.84 tff(13577,plain,
% 3.65/3.84 (~b(s(z), z)),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[5440, 5015, 782, 191])).
% 3.65/3.84 tff(13578,plain,
% 3.65/3.84 (r(s(z), z)),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[3759, 13577])).
% 3.65/3.84 tff(13579,plain,
% 3.65/3.84 (~r(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[11469, 13574, 11, 13578])).
% 3.65/3.84 tff(13580,plain,
% 3.65/3.84 (b(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[564, 13579])).
% 3.65/3.84 tff(13581,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13009, 13580, 13576, 3, 13562])).
% 3.65/3.84 tff(13582,plain,((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13583,plain,
% 3.65/3.84 (~b(z, s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13582, 13556, 3, 12197, 13136, 191, 13479])).
% 3.65/3.84 tff(13584,plain,
% 3.65/3.84 (r(z, s(s(s(s(z)))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[5013, 13583])).
% 3.65/3.84 tff(13585,plain,
% 3.65/3.84 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13365, 13584])).
% 3.65/3.84 tff(13586,plain,
% 3.65/3.84 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[233, 13585])).
% 3.65/3.84 tff(13587,plain,
% 3.65/3.84 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13489, 10567, 16, 782, 350, 1016, 191])).
% 3.65/3.84 tff(13588,plain,
% 3.65/3.84 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2750, 13587])).
% 3.65/3.84 tff(13589,plain,
% 3.65/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13590,plain,
% 3.65/3.84 (((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z))))))) <=> ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 3.65/3.84 inference(rewrite,[status(thm)],[])).
% 3.65/3.84 tff(13591,plain,
% 3.65/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, 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(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))))),
% 3.65/3.84 inference(monotonicity,[status(thm)],[13590])).
% 3.65/3.84 tff(13592,plain,
% 3.65/3.84 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, 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(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 3.65/3.84 inference(transitivity,[status(thm)],[13591, 13589])).
% 3.65/3.84 tff(13593,plain,
% 3.65/3.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(z)))))))),
% 3.65/3.84 inference(quant_inst,[status(thm)],[])).
% 3.65/3.84 tff(13594,plain,
% 3.65/3.84 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))),
% 3.65/3.84 inference(modus_ponens,[status(thm)],[13593, 13592])).
% 3.65/3.84 tff(13595,plain,
% 3.65/3.84 (~r(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13594, 76, 350, 10, 12, 13588])).
% 3.65/3.84 tff(13596,plain,
% 3.65/3.84 (b(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[581, 13595])).
% 3.65/3.84 tff(13597,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13052, 213, 191, 13596, 1016, 10567])).
% 3.65/3.84 tff(13598,plain,((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), z)) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.84 tff(13599,plain,
% 3.65/3.84 (~r(s(s(s(z))), s(z))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13598, 350, 13479, 191, 13584, 16, 13136, 13556, 12197])).
% 3.65/3.84 tff(13600,plain,
% 3.65/3.84 (b(s(s(s(z))), s(z))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[535, 13599])).
% 3.65/3.84 tff(13601,plain,
% 3.65/3.84 (~r(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[11264, 1556, 16, 350, 13584])).
% 3.65/3.84 tff(13602,plain,
% 3.65/3.84 (b(z, s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[581, 13601])).
% 3.65/3.84 tff(13603,plain,
% 3.65/3.84 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2664, 1556, 12197, 13556])).
% 3.65/3.84 tff(13604,plain,
% 3.65/3.84 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[153, 13603])).
% 3.65/3.84 tff(13605,plain,
% 3.65/3.84 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13572, 13604, 3, 13136])).
% 3.65/3.84 tff(13606,plain,
% 3.65/3.84 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[3417, 13605])).
% 3.65/3.84 tff(13607,plain,
% 3.65/3.84 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2313, 13602, 13479, 191])).
% 3.65/3.84 tff(13608,plain,
% 3.65/3.84 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[2750, 13607])).
% 3.65/3.84 tff(13609,plain,
% 3.65/3.84 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13499, 13608, 12197, 13584])).
% 3.65/3.84 tff(13610,plain,
% 3.65/3.84 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[1042, 13609])).
% 3.65/3.84 tff(13611,plain,
% 3.65/3.84 (~b(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[13009, 13610, 3, 13600])).
% 3.65/3.84 tff(13612,plain,
% 3.65/3.84 (r(s(z), s(s(s(z))))),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[564, 13611])).
% 3.65/3.84 tff(13613,plain,
% 3.65/3.84 (~r(s(z), z)),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[11469, 13612, 13556, 13606])).
% 3.65/3.84 tff(13614,plain,
% 3.65/3.84 (b(s(z), z)),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[3759, 13613])).
% 3.65/3.84 tff(13615,plain,
% 3.65/3.84 ($false),
% 3.65/3.84 inference(unit_resolution,[status(thm)],[11816, 213, 13614, 13602, 13600, 13479])).
% 3.65/3.84 tff(13616,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.85 tff(13617,plain,
% 3.65/3.85 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13616, 350, 191, 16, 3])).
% 3.65/3.85 tff(13618,plain,
% 3.65/3.85 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[1871, 13617])).
% 3.65/3.85 tff(13619,plain,
% 3.65/3.85 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13489, 13618, 16, 13136, 350, 13479, 191])).
% 3.65/3.85 tff(13620,plain,
% 3.65/3.85 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[2750, 13619])).
% 3.65/3.85 tff(13621,plain,
% 3.65/3.85 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13499, 13620, 12197, 13584])).
% 3.65/3.85 tff(13622,plain,
% 3.65/3.85 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[1042, 13621])).
% 3.65/3.85 tff(13623,plain,
% 3.65/3.85 (~b(s(z), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13009, 13622, 3, 13600])).
% 3.65/3.85 tff(13624,plain,
% 3.65/3.85 (r(s(z), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[564, 13623])).
% 3.65/3.85 tff(13625,plain,
% 3.65/3.85 (~r(z, s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[7283, 13624, 350, 16, 13584])).
% 3.65/3.85 tff(13626,plain,
% 3.65/3.85 (b(z, s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[581, 13625])).
% 3.65/3.85 tff(13627,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13628,plain,
% 3.65/3.85 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13629,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.65/3.85 inference(monotonicity,[status(thm)],[13628])).
% 3.65/3.85 tff(13630,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(transitivity,[status(thm)],[13629, 13627])).
% 3.65/3.85 tff(13631,plain,
% 3.65/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.85 inference(quant_inst,[status(thm)],[])).
% 3.65/3.85 tff(13632,plain,
% 3.65/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.65/3.85 inference(modus_ponens,[status(thm)],[13631, 13630])).
% 3.65/3.85 tff(13633,plain,
% 3.65/3.85 ($false),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13632, 213, 13622, 13626, 13479, 13586])).
% 3.65/3.85 tff(13634,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.85 tff(13635,plain,
% 3.65/3.85 (~r(z, s(z))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13634, 191, 3, 16])).
% 3.65/3.85 tff(13636,plain,
% 3.65/3.85 (b(z, s(z))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[370, 13635])).
% 3.65/3.85 tff(13637,plain,
% 3.65/3.85 ($false),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[11358, 213, 3771, 1, 782, 191])).
% 3.65/3.85 tff(13638,plain,((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.85 tff(13639,plain,
% 3.65/3.85 (~b(s(z), z)),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13638, 13636, 13136, 191])).
% 3.65/3.85 tff(13640,plain,
% 3.65/3.85 (r(s(z), z)),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[3759, 13639])).
% 3.65/3.85 tff(13641,plain,
% 3.65/3.85 (~b(z, s(s(s(s(z)))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[9753, 13636, 13136, 191])).
% 3.65/3.85 tff(13642,plain,
% 3.65/3.85 (r(z, s(s(s(s(z)))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[5013, 13641])).
% 3.65/3.85 tff(13643,plain,
% 3.65/3.85 (~b(z, s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[8785, 856, 13479, 13636])).
% 3.65/3.85 tff(13644,plain,
% 3.65/3.85 (r(z, s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[581, 13643])).
% 3.65/3.85 tff(13645,plain,
% 3.65/3.85 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[2357, 2305, 13136, 856])).
% 3.65/3.85 tff(13646,plain,
% 3.65/3.85 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[1871, 13645])).
% 3.65/3.85 tff(13647,plain,
% 3.65/3.85 (~b(s(s(s(z))), s(z))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[2700, 2305, 13136, 856])).
% 3.65/3.85 tff(13648,plain,
% 3.65/3.85 (r(s(s(s(z))), s(z))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[535, 13647])).
% 3.65/3.85 tff(13649,plain,
% 3.65/3.85 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[9778, 76, 16, 12197, 13648, 13646])).
% 3.65/3.85 tff(13650,plain,
% 3.65/3.85 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[596, 13649])).
% 3.65/3.85 tff(13651,plain,
% 3.65/3.85 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[2366, 13650, 856, 3])).
% 3.65/3.85 tff(13652,plain,
% 3.65/3.85 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[1042, 13651])).
% 3.65/3.85 tff(13653,plain,
% 3.65/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13654,plain,
% 3.65/3.85 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13655,plain,
% 3.65/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.65/3.85 inference(monotonicity,[status(thm)],[13654])).
% 3.65/3.85 tff(13656,plain,
% 3.65/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.65/3.85 inference(transitivity,[status(thm)],[13655, 13653])).
% 3.65/3.85 tff(13657,plain,
% 3.65/3.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.65/3.85 inference(quant_inst,[status(thm)],[])).
% 3.65/3.85 tff(13658,plain,
% 3.65/3.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.65/3.85 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 3.65/3.85 tff(13659,plain,
% 3.65/3.85 ($false),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13658, 76, 12197, 10954, 13652, 691, 13646])).
% 3.65/3.85 tff(13660,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.85 tff(13661,plain,
% 3.65/3.85 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13660, 13644, 856, 3, 16])).
% 3.65/3.85 tff(13662,plain,
% 3.65/3.85 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[2750, 13661])).
% 3.65/3.85 tff(13663,plain,
% 3.65/3.85 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13499, 13662, 12197, 13642])).
% 3.65/3.85 tff(13664,plain,
% 3.65/3.85 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[1042, 13663])).
% 3.65/3.85 tff(13665,plain,
% 3.65/3.85 (~b(s(s(s(z))), s(z))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13009, 13664, 3, 856])).
% 3.65/3.85 tff(13666,plain,
% 3.65/3.85 (r(s(s(s(z))), s(z))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[535, 13665])).
% 3.65/3.85 tff(13667,plain,
% 3.65/3.85 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[3543, 13662, 12197, 13642, 13644])).
% 3.65/3.85 tff(13668,plain,
% 3.65/3.85 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[233, 13667])).
% 3.65/3.85 tff(13669,plain,
% 3.65/3.85 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[12977, 13668, 3, 13636])).
% 3.65/3.85 tff(13670,plain,
% 3.65/3.85 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[3417, 13669])).
% 3.65/3.85 tff(13671,plain,
% 3.65/3.85 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[2640, 13670, 13642, 13640])).
% 3.65/3.85 tff(13672,plain,
% 3.65/3.85 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[627, 13671])).
% 3.65/3.85 tff(13673,plain,
% 3.65/3.85 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[11381, 13666, 13662, 13670, 16])).
% 3.65/3.85 tff(13674,plain,
% 3.65/3.85 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[153, 13673])).
% 3.65/3.85 tff(13675,plain,
% 3.65/3.85 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13499, 2410, 12197, 13642])).
% 3.65/3.85 tff(13676,plain,
% 3.65/3.85 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[1042, 13675])).
% 3.65/3.85 tff(13677,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13678,plain,
% 3.65/3.85 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13679,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.65/3.85 inference(monotonicity,[status(thm)],[13678])).
% 3.65/3.85 tff(13680,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(transitivity,[status(thm)],[13679, 13677])).
% 3.65/3.85 tff(13681,plain,
% 3.65/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.85 inference(quant_inst,[status(thm)],[])).
% 3.65/3.85 tff(13682,plain,
% 3.65/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z))),
% 3.65/3.85 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 3.65/3.85 tff(13683,plain,
% 3.65/3.85 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13682, 213, 13636, 281, 3, 13676, 13479])).
% 3.65/3.85 tff(13684,plain,
% 3.65/3.85 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13683, 467])).
% 3.65/3.85 tff(13685,plain,
% 3.65/3.85 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[653, 13684])).
% 3.65/3.85 tff(13686,plain,
% 3.65/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13687,plain,
% 3.65/3.85 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13688,plain,
% 3.65/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.65/3.85 inference(monotonicity,[status(thm)],[13687])).
% 3.65/3.85 tff(13689,plain,
% 3.65/3.85 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.65/3.85 inference(transitivity,[status(thm)],[13688, 13686])).
% 3.65/3.85 tff(13690,plain,
% 3.65/3.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.85 inference(quant_inst,[status(thm)],[])).
% 3.65/3.85 tff(13691,plain,
% 3.65/3.85 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.65/3.85 inference(modus_ponens,[status(thm)],[13690, 13689])).
% 3.65/3.85 tff(13692,plain,
% 3.65/3.85 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[13691, 76, 16, 13685, 12, 2410])).
% 3.65/3.85 tff(13693,plain,
% 3.65/3.85 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.85 inference(unit_resolution,[status(thm)],[338, 13692])).
% 3.65/3.85 tff(13694,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13695,plain,
% 3.65/3.85 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(rewrite,[status(thm)],[])).
% 3.65/3.85 tff(13696,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.65/3.85 inference(monotonicity,[status(thm)],[13695])).
% 3.65/3.85 tff(13697,plain,
% 3.65/3.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.85 inference(transitivity,[status(thm)],[13696, 13694])).
% 3.65/3.85 tff(13698,plain,
% 3.65/3.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.86 inference(quant_inst,[status(thm)],[])).
% 3.65/3.86 tff(13699,plain,
% 3.65/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.65/3.86 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 3.65/3.86 tff(13700,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13699, 213, 191, 13676, 203, 467, 13693, 2812, 13479])).
% 3.65/3.86 tff(13701,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13702,plain,
% 3.65/3.86 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13701, 281, 13674, 13672, 16, 13666, 13662, 191, 3])).
% 3.65/3.86 tff(13703,plain,
% 3.65/3.86 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[484, 13702])).
% 3.65/3.86 tff(13704,plain,
% 3.65/3.86 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11296, 13703, 13640, 13670])).
% 3.65/3.86 tff(13705,plain,
% 3.65/3.86 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[279, 13704])).
% 3.65/3.86 tff(13706,plain,
% 3.65/3.86 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[2366, 13664, 856, 3])).
% 3.65/3.86 tff(13707,plain,
% 3.65/3.86 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[596, 13706])).
% 3.65/3.86 tff(13708,plain,
% 3.65/3.86 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[5640, 13670, 12197, 13666, 13707])).
% 3.65/3.86 tff(13709,plain,
% 3.65/3.86 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[1871, 13708])).
% 3.65/3.86 tff(13710,plain,
% 3.65/3.86 ((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[1669, 213, 13136, 281, 856, 13709])).
% 3.65/3.86 tff(13711,plain,
% 3.65/3.86 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13710, 13705])).
% 3.65/3.86 tff(13712,plain,
% 3.65/3.86 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[4243, 13711])).
% 3.65/3.86 tff(13713,plain,
% 3.65/3.86 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[2524, 831, 191, 203, 202])).
% 3.65/3.86 tff(13714,plain,
% 3.65/3.86 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[484, 13713])).
% 3.65/3.86 tff(13715,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.65/3.86 inference(rewrite,[status(thm)],[])).
% 3.65/3.86 tff(13716,plain,
% 3.65/3.86 (((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.65/3.86 inference(rewrite,[status(thm)],[])).
% 3.65/3.86 tff(13717,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z)))))))),
% 3.65/3.86 inference(monotonicity,[status(thm)],[13716])).
% 3.65/3.86 tff(13718,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.65/3.86 inference(transitivity,[status(thm)],[13717, 13715])).
% 3.65/3.86 tff(13719,plain,
% 3.65/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.65/3.86 inference(quant_inst,[status(thm)],[])).
% 3.65/3.86 tff(13720,plain,
% 3.65/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z)))))),
% 3.65/3.86 inference(modus_ponens,[status(thm)],[13719, 13718])).
% 3.65/3.86 tff(13721,plain,
% 3.65/3.86 ((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13720, 213, 281, 3, 1507, 856])).
% 3.65/3.86 tff(13722,plain,
% 3.65/3.86 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13721, 831])).
% 3.65/3.86 tff(13723,plain,
% 3.65/3.86 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[279, 13722])).
% 3.65/3.86 tff(13724,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11296, 13723, 13714, 2, 9])).
% 3.65/3.86 tff(13725,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13726,plain,
% 3.65/3.86 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13725, 281, 13670, 13640, 3, 13664, 856, 191, 13674, 13668])).
% 3.65/3.86 tff(13727,plain,
% 3.65/3.86 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[436, 13726])).
% 3.65/3.86 tff(13728,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[7690, 76, 13707, 13703, 13727, 13712])).
% 3.65/3.86 tff(13729,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13730,plain,
% 3.65/3.86 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13729, 856, 16, 191, 3])).
% 3.65/3.86 tff(13731,plain,
% 3.65/3.86 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[610, 13730])).
% 3.65/3.86 tff(13732,plain,
% 3.65/3.86 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[1890, 76, 13707, 13731, 13670, 13666])).
% 3.65/3.86 tff(13733,plain,
% 3.65/3.86 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[4243, 13732])).
% 3.65/3.86 tff(13734,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.86 inference(rewrite,[status(thm)],[])).
% 3.65/3.86 tff(13735,plain,
% 3.65/3.86 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.86 inference(rewrite,[status(thm)],[])).
% 3.65/3.86 tff(13736,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 3.65/3.86 inference(monotonicity,[status(thm)],[13735])).
% 3.65/3.86 tff(13737,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.86 inference(transitivity,[status(thm)],[13736, 13734])).
% 3.65/3.86 tff(13738,plain,
% 3.65/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.86 inference(quant_inst,[status(thm)],[])).
% 3.65/3.86 tff(13739,plain,
% 3.65/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 3.65/3.86 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 3.65/3.86 tff(13740,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13739, 213, 1, 782, 2812, 867, 1016, 717, 2350])).
% 3.65/3.86 tff(13741,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13742,plain,
% 3.65/3.86 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13741, 13672, 13136, 13636, 13733, 13479, 13709])).
% 3.65/3.86 tff(13743,plain,
% 3.65/3.86 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[316, 13742])).
% 3.65/3.86 tff(13744,plain,
% 3.65/3.86 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[6686, 76, 16, 12197, 13731])).
% 3.65/3.86 tff(13745,plain,
% 3.65/3.86 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13744, 13743])).
% 3.65/3.86 tff(13746,plain,
% 3.65/3.86 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[484, 13745])).
% 3.65/3.86 tff(13747,plain,
% 3.65/3.86 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[3681, 76, 13731, 13666, 13662])).
% 3.65/3.86 tff(13748,plain,
% 3.65/3.86 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13747, 13743])).
% 3.65/3.86 tff(13749,plain,
% 3.65/3.86 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[653, 13748])).
% 3.65/3.86 tff(13750,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[5900, 13749, 13746, 13664, 13733])).
% 3.65/3.86 tff(13751,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13752,plain,
% 3.65/3.86 (~b(s(z), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13751, 191, 16, 3])).
% 3.65/3.86 tff(13753,plain,
% 3.65/3.86 (r(s(z), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[564, 13752])).
% 3.65/3.86 tff(13754,plain,
% 3.65/3.86 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[12977, 202, 3, 1])).
% 3.65/3.86 tff(13755,plain,
% 3.65/3.86 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[3417, 13754])).
% 3.65/3.86 tff(13756,plain,
% 3.65/3.86 (~r(s(z), z)),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11111, 13755, 691, 1027])).
% 3.65/3.86 tff(13757,plain,
% 3.65/3.86 (b(s(z), z)),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[3759, 13756])).
% 3.65/3.86 tff(13758,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11424, 213, 13757, 1, 3, 202])).
% 3.65/3.86 tff(13759,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13760,plain,
% 3.65/3.86 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13759, 691, 3, 1027, 1])).
% 3.65/3.86 tff(13761,plain,
% 3.65/3.86 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[233, 13760])).
% 3.65/3.86 tff(13762,plain,
% 3.65/3.86 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[2894, 13761, 5, 10])).
% 3.65/3.86 tff(13763,plain,
% 3.65/3.86 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11111, 691, 2, 1027])).
% 3.65/3.86 tff(13764,plain,
% 3.65/3.86 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[3417, 13763])).
% 3.65/3.86 tff(13765,plain,
% 3.65/3.86 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13572, 13764, 3, 782])).
% 3.65/3.86 tff(13766,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[153, 13765, 13762])).
% 3.65/3.86 tff(13767,plain,((~r(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(z))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13768,plain,
% 3.65/3.86 (~r(z, s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13767, 13642, 13136, 12197, 3, 13640, 13753, 13636])).
% 3.65/3.86 tff(13769,plain,
% 3.65/3.86 (b(z, s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[581, 13768])).
% 3.65/3.86 tff(13770,plain,
% 3.65/3.86 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[2313, 13769, 13479, 191])).
% 3.65/3.86 tff(13771,plain,
% 3.65/3.86 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[2750, 13770])).
% 3.65/3.86 tff(13772,plain,
% 3.65/3.86 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13499, 13771, 12197, 13642])).
% 3.65/3.86 tff(13773,plain,
% 3.65/3.86 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[1042, 13772])).
% 3.65/3.86 tff(13774,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.86 inference(rewrite,[status(thm)],[])).
% 3.65/3.86 tff(13775,plain,
% 3.65/3.86 (((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.86 inference(rewrite,[status(thm)],[])).
% 3.65/3.86 tff(13776,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.65/3.86 inference(monotonicity,[status(thm)],[13775])).
% 3.65/3.86 tff(13777,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.86 inference(transitivity,[status(thm)],[13776, 13774])).
% 3.65/3.86 tff(13778,plain,
% 3.65/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.86 inference(quant_inst,[status(thm)],[])).
% 3.65/3.86 tff(13779,plain,
% 3.65/3.86 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.65/3.86 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 3.65/3.86 tff(13780,plain,
% 3.65/3.86 ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13779, 213, 13636, 3, 13479])).
% 3.65/3.86 tff(13781,plain,
% 3.65/3.86 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13780, 13773, 13769])).
% 3.65/3.86 tff(13782,plain,
% 3.65/3.86 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[233, 13781])).
% 3.65/3.86 tff(13783,plain,
% 3.65/3.86 (~r(s(s(s(z))), s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13532, 13771, 16, 13753])).
% 3.65/3.86 tff(13784,plain,
% 3.65/3.86 (b(s(s(s(z))), s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[535, 13783])).
% 3.65/3.86 tff(13785,plain,
% 3.65/3.86 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11667, 13784, 3, 13479, 13636])).
% 3.65/3.86 tff(13786,plain,
% 3.65/3.86 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[3417, 13785])).
% 3.65/3.86 tff(13787,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11098, 13786, 13782, 13640])).
% 3.65/3.86 tff(13788,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13789,plain,
% 3.65/3.86 (~b(s(s(s(s(z)))), z)),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13788, 3, 16])).
% 3.65/3.86 tff(13790,plain,
% 3.65/3.86 (r(s(s(s(s(z)))), z)),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[170, 13789])).
% 3.65/3.86 tff(13791,plain,
% 3.65/3.86 (~r(z, s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[12243, 1028, 12197, 13790])).
% 3.65/3.86 tff(13792,plain,
% 3.65/3.86 (b(z, s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[581, 13791])).
% 3.65/3.86 tff(13793,plain,
% 3.65/3.86 (~r(z, s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13044, 13790, 12197])).
% 3.65/3.86 tff(13794,plain,
% 3.65/3.86 (b(z, s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[5013, 13793])).
% 3.65/3.86 tff(13795,plain,
% 3.65/3.86 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13379, 1028, 12197, 13790])).
% 3.65/3.86 tff(13796,plain,
% 3.65/3.86 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[1871, 13795])).
% 3.65/3.86 tff(13797,plain,
% 3.65/3.86 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[5644, 13796, 13479, 13794])).
% 3.65/3.86 tff(13798,plain,
% 3.65/3.86 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[2750, 13797])).
% 3.65/3.86 tff(13799,plain,
% 3.65/3.86 (~r(s(s(s(z))), s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13532, 1027, 16, 13798])).
% 3.65/3.86 tff(13800,plain,
% 3.65/3.86 (b(s(s(s(z))), s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[535, 13799])).
% 3.65/3.86 tff(13801,plain,
% 3.65/3.86 (~b(z, s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11667, 4, 3, 13479, 8])).
% 3.65/3.86 tff(13802,plain,
% 3.65/3.86 (r(z, s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[370, 13801])).
% 3.65/3.86 tff(13803,plain,
% 3.65/3.86 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13572, 4, 3, 13136])).
% 3.65/3.86 tff(13804,plain,
% 3.65/3.86 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[153, 13803])).
% 3.65/3.86 tff(13805,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11616, 13804, 13802, 16, 13790])).
% 3.65/3.86 tff(13806,plain,((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13807,plain,
% 3.65/3.86 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13806, 13800, 3, 16])).
% 3.65/3.86 tff(13808,plain,
% 3.65/3.86 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[3417, 13807])).
% 3.65/3.86 tff(13809,plain,
% 3.65/3.86 ($false),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[5934, 76, 350, 16, 155, 1027, 2410])).
% 3.65/3.86 tff(13810,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.86 tff(13811,plain,
% 3.65/3.86 (~r(z, s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[13810, 1027, 13790, 16, 13798])).
% 3.65/3.86 tff(13812,plain,
% 3.65/3.86 (b(z, s(z))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[370, 13811])).
% 3.65/3.86 tff(13813,plain,
% 3.65/3.86 (~b(s(z), z)),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[3954, 13812, 13798, 13790, 13800])).
% 3.65/3.86 tff(13814,plain,
% 3.65/3.86 (r(s(z), z)),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[3759, 13813])).
% 3.65/3.86 tff(13815,plain,
% 3.65/3.86 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[11098, 13814, 13808])).
% 3.65/3.86 tff(13816,plain,
% 3.65/3.86 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[233, 13815])).
% 3.65/3.86 tff(13817,plain,
% 3.65/3.86 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[2412, 13808, 13798, 1028, 16])).
% 3.65/3.86 tff(13818,plain,
% 3.65/3.86 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[153, 13817])).
% 3.65/3.86 tff(13819,plain,
% 3.65/3.86 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[1992, 13808, 1027, 1028])).
% 3.65/3.86 tff(13820,plain,
% 3.65/3.86 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[596, 13819])).
% 3.65/3.86 tff(13821,plain,
% 3.65/3.86 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[5489, 747, 5015, 464])).
% 3.65/3.86 tff(13822,plain,
% 3.65/3.86 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[316, 13821])).
% 3.65/3.86 tff(13823,plain,
% 3.65/3.86 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[9835, 13822, 1027, 16, 706])).
% 3.65/3.86 tff(13824,plain,
% 3.65/3.86 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.86 inference(unit_resolution,[status(thm)],[653, 13823])).
% 3.65/3.86 tff(13825,plain,
% 3.65/3.86 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.86 inference(rewrite,[status(thm)],[])).
% 3.65/3.86 tff(13826,plain,
% 3.65/3.86 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13827,plain,
% 3.65/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.65/3.87 inference(monotonicity,[status(thm)],[13826])).
% 3.65/3.87 tff(13828,plain,
% 3.65/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.65/3.87 inference(transitivity,[status(thm)],[13827, 13825])).
% 3.65/3.87 tff(13829,plain,
% 3.65/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.87 inference(quant_inst,[status(thm)],[])).
% 3.65/3.87 tff(13830,plain,
% 3.65/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.65/3.87 inference(modus_ponens,[status(thm)],[13829, 13828])).
% 3.65/3.87 tff(13831,plain,
% 3.65/3.87 ($false),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13830, 213, 1065, 13824, 1016, 747])).
% 3.65/3.87 tff(13832,plain,((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.87 tff(13833,plain,
% 3.65/3.87 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13832, 706, 1016, 1027, 16, 1065, 5015, 9786])).
% 3.65/3.87 tff(13834,plain,
% 3.65/3.87 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[819, 13833])).
% 3.65/3.87 tff(13835,plain,
% 3.65/3.87 ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[1939, 10954])).
% 3.65/3.87 tff(13836,plain,
% 3.65/3.87 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13835, 13, 2, 506, 706, 11389, 9])).
% 3.65/3.87 tff(13837,plain,
% 3.65/3.87 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[11025, 13, 282])).
% 3.65/3.87 tff(13838,plain,
% 3.65/3.87 ($false),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[436, 13837, 13836])).
% 3.65/3.87 tff(13839,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.87 tff(13840,plain,
% 3.65/3.87 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13839, 13834, 2, 506, 706, 9])).
% 3.65/3.87 tff(13841,plain,
% 3.65/3.87 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[627, 13840])).
% 3.65/3.87 tff(13842,plain,
% 3.65/3.87 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[5233, 13841, 5015, 9786])).
% 3.65/3.87 tff(13843,plain,
% 3.65/3.87 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[316, 13842])).
% 3.65/3.87 tff(13844,plain,
% 3.65/3.87 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[9835, 13843, 1027, 16, 706])).
% 3.65/3.87 tff(13845,plain,
% 3.65/3.87 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[653, 13844])).
% 3.65/3.87 tff(13846,plain,
% 3.65/3.87 ($false),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[8169, 213, 1065, 13845, 13841, 1016])).
% 3.65/3.87 tff(13847,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.87 tff(13848,plain,
% 3.65/3.87 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13847, 1027, 13479, 13792, 16, 13794, 13814, 13820, 13808, 13790])).
% 3.65/3.87 tff(13849,plain,
% 3.65/3.87 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[610, 13848])).
% 3.65/3.87 tff(13850,plain,
% 3.65/3.87 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13256, 13849, 3, 13800, 13818, 13796, 13136])).
% 3.65/3.87 tff(13851,plain,
% 3.65/3.87 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[316, 13850])).
% 3.65/3.87 tff(13852,plain,
% 3.65/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13853,plain,
% 3.65/3.87 (((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13854,plain,
% 3.65/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.65/3.87 inference(monotonicity,[status(thm)],[13853])).
% 3.65/3.87 tff(13855,plain,
% 3.65/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.65/3.87 inference(transitivity,[status(thm)],[13854, 13852])).
% 3.65/3.87 tff(13856,plain,
% 3.65/3.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.87 inference(quant_inst,[status(thm)],[])).
% 3.65/3.87 tff(13857,plain,
% 3.65/3.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.65/3.87 inference(modus_ponens,[status(thm)],[13856, 13855])).
% 3.65/3.87 tff(13858,plain,
% 3.65/3.87 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13857, 76, 13790, 12197, 10954, 13851])).
% 3.65/3.87 tff(13859,plain,
% 3.65/3.87 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[436, 13858])).
% 3.65/3.87 tff(13860,plain,
% 3.65/3.87 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[7638, 13849, 13812, 13800, 13792])).
% 3.65/3.87 tff(13861,plain,
% 3.65/3.87 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[279, 13860])).
% 3.65/3.87 tff(13862,plain,
% 3.65/3.87 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[11296, 13861, 13814, 13808])).
% 3.65/3.87 tff(13863,plain,
% 3.65/3.87 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[484, 13862])).
% 3.65/3.87 tff(13864,plain,
% 3.65/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13865,plain,
% 3.65/3.87 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13866,plain,
% 3.65/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.65/3.87 inference(monotonicity,[status(thm)],[13865])).
% 3.65/3.87 tff(13867,plain,
% 3.65/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.87 inference(transitivity,[status(thm)],[13866, 13864])).
% 3.65/3.87 tff(13868,plain,
% 3.65/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.65/3.87 inference(quant_inst,[status(thm)],[])).
% 3.65/3.87 tff(13869,plain,
% 3.65/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.65/3.87 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 3.65/3.87 tff(13870,plain,
% 3.65/3.87 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13869, 213, 13812, 13849, 13863, 13859, 13816])).
% 3.65/3.87 tff(13871,plain,
% 3.65/3.87 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[627, 13870])).
% 3.65/3.87 tff(13872,plain,
% 3.65/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13873,plain,
% 3.65/3.87 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13874,plain,
% 3.65/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.65/3.87 inference(monotonicity,[status(thm)],[13873])).
% 3.65/3.87 tff(13875,plain,
% 3.65/3.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.65/3.87 inference(transitivity,[status(thm)],[13874, 13872])).
% 3.65/3.87 tff(13876,plain,
% 3.65/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.87 inference(quant_inst,[status(thm)],[])).
% 3.65/3.87 tff(13877,plain,
% 3.65/3.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.65/3.87 inference(modus_ponens,[status(thm)],[13876, 13875])).
% 3.65/3.87 tff(13878,plain,
% 3.65/3.87 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13877, 213, 13812, 13849, 13863, 13859, 13816])).
% 3.65/3.87 tff(13879,plain,
% 3.65/3.87 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[819, 13878])).
% 3.65/3.87 tff(13880,plain,
% 3.65/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13881,plain,
% 3.65/3.87 (((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.87 inference(rewrite,[status(thm)],[])).
% 3.65/3.87 tff(13882,plain,
% 3.65/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.65/3.87 inference(monotonicity,[status(thm)],[13881])).
% 3.65/3.87 tff(13883,plain,
% 3.65/3.87 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.87 inference(transitivity,[status(thm)],[13882, 13880])).
% 3.65/3.87 tff(13884,plain,
% 3.65/3.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.87 inference(quant_inst,[status(thm)],[])).
% 3.65/3.87 tff(13885,plain,
% 3.65/3.87 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.87 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 3.65/3.87 tff(13886,plain,
% 3.65/3.87 ($false),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13885, 76, 13814, 13861, 13879, 13871])).
% 3.65/3.87 tff(13887,plain,((~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.87 tff(13888,plain,
% 3.65/3.87 (~r(s(z), s(s(s(z))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13887, 1028, 16, 3])).
% 3.65/3.87 tff(13889,plain,
% 3.65/3.87 (b(s(z), s(s(s(z))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[564, 13888])).
% 3.65/3.87 tff(13890,plain,
% 3.65/3.87 (~b(s(z), z)),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[6460, 13889, 13479, 13792])).
% 3.65/3.87 tff(13891,plain,
% 3.65/3.87 (r(s(z), z)),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[3759, 13890])).
% 3.65/3.87 tff(13892,plain,
% 3.65/3.87 (~b(z, s(z))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[8785, 13889, 13479, 13792])).
% 3.65/3.87 tff(13893,plain,
% 3.65/3.87 (r(z, s(z))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[370, 13892])).
% 3.65/3.87 tff(13894,plain,
% 3.65/3.87 ($false),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[3355, 13893, 13891, 16, 13790])).
% 3.65/3.87 tff(13895,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.87 tff(13896,plain,
% 3.65/3.87 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13895, 3, 16])).
% 3.65/3.87 tff(13897,plain,
% 3.65/3.87 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[1042, 13896])).
% 3.65/3.87 tff(13898,plain,
% 3.65/3.87 (~b(s(s(s(z))), s(z))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[13009, 856, 3, 13897])).
% 3.65/3.87 tff(13899,plain,
% 3.65/3.87 (r(s(s(s(z))), s(z))),
% 3.65/3.87 inference(unit_resolution,[status(thm)],[535, 13898])).
% 3.65/3.87 tff(13900,plain,
% 3.65/3.87 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[2366, 856, 13897, 3])).
% 3.65/3.88 tff(13901,plain,
% 3.65/3.88 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[596, 13900])).
% 3.65/3.88 tff(13902,plain,
% 3.65/3.88 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[9778, 76, 16, 13901, 12197, 13899])).
% 3.65/3.88 tff(13903,plain,
% 3.65/3.88 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[1871, 13902])).
% 3.65/3.88 tff(13904,plain,
% 3.65/3.88 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5644, 13903, 13479, 13794])).
% 3.65/3.88 tff(13905,plain,
% 3.65/3.88 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[2750, 13904])).
% 3.65/3.88 tff(13906,plain,
% 3.65/3.88 (~r(z, s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[10569, 13905, 16, 13790, 13899])).
% 3.65/3.88 tff(13907,plain,
% 3.65/3.88 (b(z, s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[581, 13906])).
% 3.65/3.88 tff(13908,plain,
% 3.65/3.88 (~r(s(z), z)),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[3633, 13905, 16, 13790, 13899])).
% 3.65/3.88 tff(13909,plain,
% 3.65/3.88 (b(s(z), z)),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[3759, 13908])).
% 3.65/3.88 tff(13910,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[6460, 13909, 13907, 13479, 856])).
% 3.65/3.88 tff(13911,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(13912,plain,
% 3.65/3.88 (~b(s(z), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13911, 3, 16])).
% 3.65/3.88 tff(13913,plain,
% 3.65/3.88 (r(s(z), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[564, 13912])).
% 3.65/3.88 tff(13914,plain,
% 3.65/3.88 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13572, 4, 3, 782])).
% 3.65/3.88 tff(13915,plain,
% 3.65/3.88 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[153, 13914])).
% 3.65/3.88 tff(13916,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.65/3.88 inference(rewrite,[status(thm)],[])).
% 3.65/3.88 tff(13917,plain,
% 3.65/3.88 (((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.65/3.88 inference(rewrite,[status(thm)],[])).
% 3.65/3.88 tff(13918,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z))))))))),
% 3.65/3.88 inference(monotonicity,[status(thm)],[13917])).
% 3.65/3.88 tff(13919,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.65/3.88 inference(transitivity,[status(thm)],[13918, 13916])).
% 3.65/3.88 tff(13920,plain,
% 3.65/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))),
% 3.65/3.88 inference(quant_inst,[status(thm)],[])).
% 3.65/3.88 tff(13921,plain,
% 3.65/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z))))))),
% 3.65/3.88 inference(modus_ponens,[status(thm)],[13920, 13919])).
% 3.65/3.88 tff(13922,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13921, 213, 3771, 5015, 782, 3, 4, 202])).
% 3.65/3.88 tff(13923,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(13924,plain,
% 3.65/3.88 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13923, 4, 782, 3771, 3, 5015])).
% 3.65/3.88 tff(13925,plain,
% 3.65/3.88 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[233, 13924])).
% 3.65/3.88 tff(13926,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[11631, 13925, 13915, 155])).
% 3.65/3.88 tff(13927,plain,((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(13928,plain,
% 3.65/3.88 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13927, 3771, 13136, 13790, 3, 13794])).
% 3.65/3.88 tff(13929,plain,
% 3.65/3.88 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[3417, 13928])).
% 3.65/3.88 tff(13930,plain,
% 3.65/3.88 (~b(z, s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[9099, 2305, 13479, 13794])).
% 3.65/3.88 tff(13931,plain,
% 3.65/3.88 (r(z, s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[581, 13930])).
% 3.65/3.88 tff(13932,plain,
% 3.65/3.88 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[11220, 13929, 13790, 16])).
% 3.65/3.88 tff(13933,plain,
% 3.65/3.88 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[153, 13932])).
% 3.65/3.88 tff(13934,plain,
% 3.65/3.88 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[3458, 2305, 13897, 13933])).
% 3.65/3.88 tff(13935,plain,
% 3.65/3.88 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[596, 13934])).
% 3.65/3.88 tff(13936,plain,
% 3.65/3.88 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5644, 2305, 13479, 13794])).
% 3.65/3.88 tff(13937,plain,
% 3.65/3.88 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[1871, 13936])).
% 3.65/3.88 tff(13938,plain,
% 3.65/3.88 (~r(s(s(s(z))), s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5640, 13937, 12197, 13929, 13935])).
% 3.65/3.88 tff(13939,plain,
% 3.65/3.88 (b(s(s(s(z))), s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[535, 13938])).
% 3.65/3.88 tff(13940,plain,
% 3.65/3.88 (~b(z, s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[3892, 8, 1016, 3771])).
% 3.65/3.88 tff(13941,plain,
% 3.65/3.88 (r(z, s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[370, 13940])).
% 3.65/3.88 tff(13942,plain,
% 3.65/3.88 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5213, 76, 13941, 706, 691, 1027])).
% 3.65/3.88 tff(13943,plain,
% 3.65/3.88 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[819, 13942])).
% 3.65/3.88 tff(13944,plain,
% 3.65/3.88 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5812, 13943, 16, 155, 5015, 13941, 706])).
% 3.65/3.88 tff(13945,plain,
% 3.65/3.88 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[627, 13944])).
% 3.65/3.88 tff(13946,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[12588, 213, 3771, 8, 13945, 1016, 13943])).
% 3.65/3.88 tff(13947,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(13948,plain,
% 3.65/3.88 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13947, 13939, 3771, 13479, 16, 13790, 13794, 13931, 13913])).
% 3.65/3.88 tff(13949,plain,
% 3.65/3.88 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[610, 13948])).
% 3.65/3.88 tff(13950,plain,
% 3.65/3.88 (~b(z, s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[3892, 13939, 13479, 3771])).
% 3.65/3.88 tff(13951,plain,
% 3.65/3.88 (r(z, s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[370, 13950])).
% 3.65/3.88 tff(13952,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[11503, 76, 350, 11, 738, 691, 1027])).
% 3.65/3.88 tff(13953,plain,((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(13954,plain,
% 3.65/3.88 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13953, 13951, 13935, 13931, 13913])).
% 3.65/3.88 tff(13955,plain,
% 3.65/3.88 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[233, 13954])).
% 3.65/3.88 tff(13956,plain,
% 3.65/3.88 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[2443, 13, 155, 16, 782, 281])).
% 3.65/3.88 tff(13957,plain,
% 3.65/3.88 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[316, 13956])).
% 3.65/3.88 tff(13958,plain,
% 3.65/3.88 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[6006, 13957, 691, 155, 13])).
% 3.65/3.88 tff(13959,plain,
% 3.65/3.88 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[653, 13958])).
% 3.65/3.88 tff(13960,plain,
% 3.65/3.88 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5900, 467, 1507, 868])).
% 3.65/3.88 tff(13961,plain,
% 3.65/3.88 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[4243, 13960])).
% 3.65/3.88 tff(13962,plain,
% 3.65/3.88 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5873, 13961, 705, 11, 1556])).
% 3.65/3.88 tff(13963,plain,
% 3.65/3.88 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[436, 13962])).
% 3.65/3.88 tff(13964,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.88 inference(rewrite,[status(thm)],[])).
% 3.65/3.88 tff(13965,plain,
% 3.65/3.88 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.88 inference(rewrite,[status(thm)],[])).
% 3.65/3.88 tff(13966,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.65/3.88 inference(monotonicity,[status(thm)],[13965])).
% 3.65/3.88 tff(13967,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.88 inference(transitivity,[status(thm)],[13966, 13964])).
% 3.65/3.88 tff(13968,plain,
% 3.65/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.88 inference(quant_inst,[status(thm)],[])).
% 3.65/3.88 tff(13969,plain,
% 3.65/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.88 inference(modus_ponens,[status(thm)],[13968, 13967])).
% 3.65/3.88 tff(13970,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13969, 213, 868, 203, 467, 464, 13963, 2305])).
% 3.65/3.88 tff(13971,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(13972,plain,
% 3.65/3.88 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13971, 13959, 203, 5810, 2305, 13957, 11, 1556, 1507])).
% 3.65/3.88 tff(13973,plain,
% 3.65/3.88 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[484, 13972])).
% 3.65/3.88 tff(13974,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5689, 76, 155, 5, 13973, 13957, 13])).
% 3.65/3.88 tff(13975,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(13976,plain,
% 3.65/3.88 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13975, 13949, 16, 12197, 13931, 13937, 13933, 13790, 13897, 13935, 13136, 2305, 13951])).
% 3.65/3.88 tff(13977,plain,
% 3.65/3.88 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[627, 13976])).
% 3.65/3.88 tff(13978,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.88 inference(rewrite,[status(thm)],[])).
% 3.65/3.88 tff(13979,plain,
% 3.65/3.88 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.88 inference(rewrite,[status(thm)],[])).
% 3.65/3.88 tff(13980,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.65/3.88 inference(monotonicity,[status(thm)],[13979])).
% 3.65/3.88 tff(13981,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.88 inference(transitivity,[status(thm)],[13980, 13978])).
% 3.65/3.88 tff(13982,plain,
% 3.65/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.88 inference(quant_inst,[status(thm)],[])).
% 3.65/3.88 tff(13983,plain,
% 3.65/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.65/3.88 inference(modus_ponens,[status(thm)],[13982, 13981])).
% 3.65/3.88 tff(13984,plain,
% 3.65/3.88 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13983, 213, 13949, 3, 13939, 13977, 13479, 13955])).
% 3.65/3.88 tff(13985,plain,
% 3.65/3.88 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[4243, 13984])).
% 3.65/3.88 tff(13986,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[9798, 76, 11, 5, 598, 3645, 1556])).
% 3.65/3.88 tff(13987,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(13988,plain,
% 3.65/3.88 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13987, 13985, 12197, 13935, 13937])).
% 3.65/3.88 tff(13989,plain,
% 3.65/3.88 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[484, 13988])).
% 3.65/3.88 tff(13990,plain,
% 3.65/3.88 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5148, 13989, 3, 13949])).
% 3.65/3.88 tff(13991,plain,
% 3.65/3.88 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[279, 13990])).
% 3.65/3.88 tff(13992,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.88 inference(rewrite,[status(thm)],[])).
% 3.65/3.88 tff(13993,plain,
% 3.65/3.88 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.88 inference(rewrite,[status(thm)],[])).
% 3.65/3.88 tff(13994,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.65/3.88 inference(monotonicity,[status(thm)],[13993])).
% 3.65/3.88 tff(13995,plain,
% 3.65/3.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.65/3.88 inference(transitivity,[status(thm)],[13994, 13992])).
% 3.65/3.88 tff(13996,plain,
% 3.65/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.65/3.88 inference(quant_inst,[status(thm)],[])).
% 3.65/3.88 tff(13997,plain,
% 3.65/3.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.65/3.88 inference(modus_ponens,[status(thm)],[13996, 13995])).
% 3.65/3.88 tff(13998,plain,
% 3.65/3.88 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13997, 213, 13949, 3, 13939, 13977, 13479, 13955])).
% 3.65/3.88 tff(13999,plain,
% 3.65/3.88 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[653, 13998])).
% 3.65/3.88 tff(14000,plain,
% 3.65/3.88 ($false),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[5843, 76, 13935, 13999, 13913, 13991, 13929])).
% 3.65/3.88 tff(14001,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.88 tff(14002,plain,
% 3.65/3.88 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[14001, 3771, 16, 3])).
% 3.65/3.88 tff(14003,plain,
% 3.65/3.88 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[2750, 14002])).
% 3.65/3.88 tff(14004,plain,
% 3.65/3.88 (~r(s(s(s(z))), s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[13532, 14003, 16, 13913])).
% 3.65/3.88 tff(14005,plain,
% 3.65/3.88 (b(s(s(s(z))), s(z))),
% 3.65/3.88 inference(unit_resolution,[status(thm)],[535, 14004])).
% 3.65/3.88 tff(14006,plain,
% 3.65/3.88 (~r(z, s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[13810, 14003, 13790, 16, 13913])).
% 3.65/3.89 tff(14007,plain,
% 3.65/3.89 (b(z, s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[370, 14006])).
% 3.65/3.89 tff(14008,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3892, 14007, 14005, 13479, 3771])).
% 3.65/3.89 tff(14009,plain,((~b(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14010,plain,
% 3.65/3.89 (~b(s(z), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14009, 3, 16])).
% 3.65/3.89 tff(14011,plain,
% 3.65/3.89 (r(s(z), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3759, 14010])).
% 3.65/3.89 tff(14012,plain,
% 3.65/3.89 (~r(z, s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3355, 14011, 16, 13790])).
% 3.65/3.89 tff(14013,plain,
% 3.65/3.89 (b(z, s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[370, 14012])).
% 3.65/3.89 tff(14014,plain,
% 3.65/3.89 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[13437, 14013, 13790, 3, 16])).
% 3.65/3.89 tff(14015,plain,
% 3.65/3.89 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[153, 14014])).
% 3.65/3.89 tff(14016,plain,
% 3.65/3.89 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[13572, 14015, 3, 13136])).
% 3.65/3.89 tff(14017,plain,
% 3.65/3.89 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3417, 14016])).
% 3.65/3.89 tff(14018,plain,
% 3.65/3.89 (~r(z, s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[11111, 14017, 14011, 13913])).
% 3.65/3.89 tff(14019,plain,
% 3.65/3.89 (b(z, s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[581, 14018])).
% 3.65/3.89 tff(14020,plain,
% 3.65/3.89 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[11469, 14017, 14011, 13913])).
% 3.65/3.89 tff(14021,plain,
% 3.65/3.89 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[596, 14020])).
% 3.65/3.89 tff(14022,plain,
% 3.65/3.89 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[11098, 14017, 14011])).
% 3.65/3.89 tff(14023,plain,
% 3.65/3.89 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[233, 14022])).
% 3.65/3.89 tff(14024,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[2293, 14023, 14021, 13897, 14019])).
% 3.65/3.89 tff(14025,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14026,plain,
% 3.65/3.89 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14025, 16])).
% 3.65/3.89 tff(14027,plain,
% 3.65/3.89 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[450, 14026])).
% 3.65/3.89 tff(14028,plain,
% 3.65/3.89 (~r(s(z), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[461, 5, 16, 14027])).
% 3.65/3.89 tff(14029,plain,
% 3.65/3.89 (b(s(z), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[796, 14028])).
% 3.65/3.89 tff(14030,plain,
% 3.65/3.89 (~b(z, s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[9753, 14029, 191, 1])).
% 3.65/3.89 tff(14031,plain,
% 3.65/3.89 ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z)))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[1152, 10954])).
% 3.65/3.89 tff(14032,plain,
% 3.65/3.89 (~r(z, s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14031, 14029, 14027, 5, 1])).
% 3.65/3.89 tff(14033,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[5013, 14032, 14030])).
% 3.65/3.89 tff(14034,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14035,plain,
% 3.65/3.89 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14034, 1, 191, 16])).
% 3.65/3.89 tff(14036,plain,
% 3.65/3.89 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[250, 14035])).
% 3.65/3.89 tff(14037,plain,
% 3.65/3.89 (~r(s(s(s(z))), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[11146, 691, 1028])).
% 3.65/3.89 tff(14038,plain,
% 3.65/3.89 (b(s(s(s(z))), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[2303, 14037])).
% 3.65/3.89 tff(14039,plain,
% 3.65/3.89 (~b(s(z), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3821, 14038, 856, 1])).
% 3.65/3.89 tff(14040,plain,
% 3.65/3.89 (r(s(z), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3759, 14039])).
% 3.65/3.89 tff(14041,plain,
% 3.65/3.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.65/3.89 inference(rewrite,[status(thm)],[])).
% 3.65/3.89 tff(14042,plain,
% 3.65/3.89 (((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.65/3.89 inference(rewrite,[status(thm)],[])).
% 3.65/3.89 tff(14043,plain,
% 3.65/3.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))))),
% 3.65/3.89 inference(monotonicity,[status(thm)],[14042])).
% 3.65/3.89 tff(14044,plain,
% 3.65/3.89 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(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(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))))),
% 3.65/3.89 inference(transitivity,[status(thm)],[14043, 14041])).
% 3.65/3.89 tff(14045,plain,
% 3.65/3.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.65/3.89 inference(quant_inst,[status(thm)],[])).
% 3.65/3.89 tff(14046,plain,
% 3.65/3.89 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))),
% 3.65/3.89 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 3.65/3.89 tff(14047,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14046, 76, 14040, 15, 10954, 1028, 691])).
% 3.65/3.89 tff(14048,plain,((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14049,plain,
% 3.65/3.89 (~r(z, s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14048, 1028, 14027, 856, 1])).
% 3.65/3.89 tff(14050,plain,
% 3.65/3.89 (b(z, s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[581, 14049])).
% 3.65/3.89 tff(14051,plain,
% 3.65/3.89 (~b(s(s(s(z))), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[8785, 14050, 856, 1])).
% 3.65/3.89 tff(14052,plain,
% 3.65/3.89 (~b(s(s(s(z))), s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[8680, 1065, 856, 1])).
% 3.65/3.89 tff(14053,plain,
% 3.65/3.89 (r(s(s(s(z))), s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[535, 14052])).
% 3.65/3.89 tff(14054,plain,
% 3.65/3.89 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[11248, 117, 14053, 16])).
% 3.65/3.89 tff(14055,plain,
% 3.65/3.89 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[1871, 14054])).
% 3.65/3.89 tff(14056,plain,
% 3.65/3.89 (~b(z, s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[5418, 14055, 191, 1065])).
% 3.65/3.89 tff(14057,plain,
% 3.65/3.89 (r(z, s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[5013, 14056])).
% 3.65/3.89 tff(14058,plain,
% 3.65/3.89 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[461, 117, 16, 14027])).
% 3.65/3.89 tff(14059,plain,
% 3.65/3.89 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[250, 14058])).
% 3.65/3.89 tff(14060,plain,
% 3.65/3.89 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[590, 506, 14059, 10, 16, 117])).
% 3.65/3.89 tff(14061,plain,
% 3.65/3.89 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[7875, 506, 16, 14059, 2296, 12, 10, 1028])).
% 3.65/3.89 tff(14062,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[153, 14061, 14060])).
% 3.65/3.89 tff(14063,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14064,plain,
% 3.65/3.89 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14063, 14057, 2296, 14053, 16, 1028, 117])).
% 3.65/3.89 tff(14065,plain,
% 3.65/3.89 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[596, 14064])).
% 3.65/3.89 tff(14066,plain,
% 3.65/3.89 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[11416, 14065, 2296])).
% 3.65/3.89 tff(14067,plain,
% 3.65/3.89 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[233, 14066])).
% 3.65/3.89 tff(14068,plain,
% 3.65/3.89 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[12207, 14065, 2296, 14053])).
% 3.65/3.89 tff(14069,plain,
% 3.65/3.89 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3417, 14068])).
% 3.65/3.89 tff(14070,plain,
% 3.65/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.65/3.89 inference(rewrite,[status(thm)],[])).
% 3.65/3.89 tff(14071,plain,
% 3.65/3.89 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.65/3.89 inference(rewrite,[status(thm)],[])).
% 3.65/3.89 tff(14072,plain,
% 3.65/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.65/3.89 inference(monotonicity,[status(thm)],[14071])).
% 3.65/3.89 tff(14073,plain,
% 3.65/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.65/3.89 inference(transitivity,[status(thm)],[14072, 14070])).
% 3.65/3.89 tff(14074,plain,
% 3.65/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))))),
% 3.65/3.89 inference(quant_inst,[status(thm)],[])).
% 3.65/3.89 tff(14075,plain,
% 3.65/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.65/3.89 inference(modus_ponens,[status(thm)],[14074, 14073])).
% 3.65/3.89 tff(14076,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14075, 213, 1, 1065, 856, 468, 4, 2305, 202])).
% 3.65/3.89 tff(14077,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14078,plain,
% 3.65/3.89 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14077, 14059, 1065, 856, 1, 14069, 14067])).
% 3.65/3.89 tff(14079,plain,
% 3.65/3.89 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[2750, 14078])).
% 3.65/3.89 tff(14080,plain,
% 3.65/3.89 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[2684, 14079, 1028, 14065])).
% 3.65/3.89 tff(14081,plain,
% 3.65/3.89 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[153, 14080])).
% 3.65/3.89 tff(14082,plain,
% 3.65/3.89 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[10840, 598, 15, 14053, 11])).
% 3.65/3.89 tff(14083,plain,
% 3.65/3.89 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[4243, 14082])).
% 3.65/3.89 tff(14084,plain,
% 3.65/3.89 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[8724, 14083, 856, 1, 1065])).
% 3.65/3.89 tff(14085,plain,
% 3.65/3.89 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[653, 14084])).
% 3.65/3.89 tff(14086,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3341, 76, 11, 1028, 14085, 598])).
% 3.65/3.89 tff(14087,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14088,plain,
% 3.65/3.89 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14087, 14065, 1028, 856, 1, 1065, 14027])).
% 3.65/3.89 tff(14089,plain,
% 3.65/3.89 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[484, 14088])).
% 3.65/3.89 tff(14090,plain,
% 3.65/3.89 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[2524, 14089, 191, 14081, 14067])).
% 3.65/3.89 tff(14091,plain,
% 3.65/3.89 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[436, 14090])).
% 3.65/3.89 tff(14092,plain,
% 3.65/3.89 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[725, 14089, 14059, 14081])).
% 3.65/3.89 tff(14093,plain,
% 3.65/3.89 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[316, 14092])).
% 3.65/3.89 tff(14094,plain,
% 3.65/3.89 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[714, 14093, 16, 117])).
% 3.65/3.89 tff(14095,plain,
% 3.65/3.89 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[610, 14094])).
% 3.65/3.89 tff(14096,plain,
% 3.65/3.89 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[725, 467, 468, 203])).
% 3.65/3.89 tff(14097,plain,
% 3.65/3.89 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[316, 14096])).
% 3.65/3.89 tff(14098,plain,
% 3.65/3.89 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[7715, 467, 4, 1, 191, 203, 2812])).
% 3.65/3.89 tff(14099,plain,
% 3.65/3.89 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[338, 14098])).
% 3.65/3.89 tff(14100,plain,
% 3.65/3.89 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[345, 76, 10, 14099, 14097])).
% 3.65/3.89 tff(14101,plain,
% 3.65/3.89 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[819, 14100])).
% 3.65/3.89 tff(14102,plain,
% 3.65/3.89 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[7512, 76, 117, 14099, 14097])).
% 3.65/3.89 tff(14103,plain,
% 3.65/3.89 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[279, 14102])).
% 3.65/3.89 tff(14104,plain,
% 3.65/3.89 ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[8705, 213, 1, 281, 1065, 856])).
% 3.65/3.89 tff(14105,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14104, 14103, 14101])).
% 3.65/3.89 tff(14106,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14107,plain,
% 3.65/3.89 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14106, 14095, 1, 1065, 856, 117, 14057, 14059, 14081, 14069, 191, 14089])).
% 3.65/3.89 tff(14108,plain,
% 3.65/3.89 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[627, 14107])).
% 3.65/3.89 tff(14109,plain,
% 3.65/3.89 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[11025, 14108, 14091])).
% 3.65/3.89 tff(14110,plain,
% 3.65/3.89 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[819, 14109])).
% 3.65/3.89 tff(14111,plain,
% 3.65/3.89 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[8734, 14091, 14027, 14053, 1028])).
% 3.65/3.89 tff(14112,plain,
% 3.65/3.89 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[653, 14111])).
% 3.65/3.89 tff(14113,plain,
% 3.65/3.89 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[260, 13, 117, 10, 2])).
% 3.65/3.89 tff(14114,plain,
% 3.65/3.89 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[279, 14113])).
% 3.65/3.89 tff(14115,plain,
% 3.65/3.89 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[9292, 14114, 4, 281])).
% 3.65/3.89 tff(14116,plain,
% 3.65/3.89 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[436, 14115])).
% 3.65/3.89 tff(14117,plain,
% 3.65/3.89 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14104, 14114])).
% 3.65/3.89 tff(14118,plain,
% 3.65/3.89 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[819, 14117])).
% 3.65/3.89 tff(14119,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[11025, 14118, 14116, 13])).
% 3.65/3.89 tff(14120,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14121,plain,
% 3.65/3.89 (~r(s(z), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14120, 14108, 1, 1065, 856, 14069, 117, 14057, 14095])).
% 3.65/3.89 tff(14122,plain,
% 3.65/3.89 (b(s(z), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3759, 14121])).
% 3.65/3.89 tff(14123,plain,
% 3.65/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.89 inference(rewrite,[status(thm)],[])).
% 3.65/3.89 tff(14124,plain,
% 3.65/3.89 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.89 inference(rewrite,[status(thm)],[])).
% 3.65/3.89 tff(14125,plain,
% 3.65/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z)))))))),
% 3.65/3.89 inference(monotonicity,[status(thm)],[14124])).
% 3.65/3.89 tff(14126,plain,
% 3.65/3.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.65/3.89 inference(transitivity,[status(thm)],[14125, 14123])).
% 3.65/3.89 tff(14127,plain,
% 3.65/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.65/3.89 inference(quant_inst,[status(thm)],[])).
% 3.65/3.89 tff(14128,plain,
% 3.65/3.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z)))))),
% 3.65/3.89 inference(modus_ponens,[status(thm)],[14127, 14126])).
% 3.65/3.89 tff(14129,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14128, 213, 14122, 1, 14095, 1065, 14112, 14110])).
% 3.65/3.89 tff(14130,plain,((~r(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14131,plain,
% 3.65/3.89 (~r(s(z), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14130, 1028, 1065, 856, 191, 16, 1, 2296])).
% 3.65/3.89 tff(14132,plain,
% 3.65/3.89 (b(s(z), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[796, 14131])).
% 3.65/3.89 tff(14133,plain,
% 3.65/3.89 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[13385, 14132, 2296, 1028, 1])).
% 3.65/3.89 tff(14134,plain,
% 3.65/3.89 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[250, 14133])).
% 3.65/3.89 tff(14135,plain,
% 3.65/3.89 (~b(z, s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[9753, 14132, 191, 1])).
% 3.65/3.89 tff(14136,plain,
% 3.65/3.89 (r(z, s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[5013, 14135])).
% 3.65/3.89 tff(14137,plain,
% 3.65/3.89 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[7875, 506, 16, 468, 2296, 12, 10, 1028])).
% 3.65/3.89 tff(14138,plain,
% 3.65/3.89 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[4278, 10, 2296, 16, 12])).
% 3.65/3.89 tff(14139,plain,
% 3.65/3.89 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[1871, 14138])).
% 3.65/3.89 tff(14140,plain,
% 3.65/3.89 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3622, 506, 468, 14139])).
% 3.65/3.89 tff(14141,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[153, 14140, 14137])).
% 3.65/3.89 tff(14142,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14143,plain,
% 3.65/3.89 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14142, 14134, 16, 2296, 14053, 14136, 1028])).
% 3.65/3.89 tff(14144,plain,
% 3.65/3.89 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[596, 14143])).
% 3.65/3.89 tff(14145,plain,
% 3.65/3.89 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[12207, 14144, 2296, 14053])).
% 3.65/3.89 tff(14146,plain,
% 3.65/3.89 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3417, 14145])).
% 3.65/3.89 tff(14147,plain,
% 3.65/3.89 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[9035, 14136, 16, 856, 2296, 14132])).
% 3.65/3.89 tff(14148,plain,
% 3.65/3.89 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[2750, 14147])).
% 3.65/3.89 tff(14149,plain,
% 3.65/3.89 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[2684, 14144, 1028, 14148])).
% 3.65/3.89 tff(14150,plain,
% 3.65/3.89 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[153, 14149])).
% 3.65/3.89 tff(14151,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[3405, 14150, 14146, 14132, 14134])).
% 3.65/3.89 tff(14152,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14153,plain,
% 3.65/3.89 (~r(s(s(s(z))), z)),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14152, 14050, 16, 856, 1, 191, 1028])).
% 3.65/3.89 tff(14154,plain,
% 3.65/3.89 ($false),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[2303, 14153, 14051])).
% 3.65/3.89 tff(14155,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.65/3.89 tff(14156,plain,
% 3.65/3.89 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.65/3.89 inference(unit_resolution,[status(thm)],[14155, 1, 856, 16, 191])).
% 3.65/3.89 tff(14157,plain,
% 3.65/3.89 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[1042, 14156])).
% 3.75/3.90 tff(14158,plain,
% 3.75/3.90 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[84, 6, 14027, 16])).
% 3.75/3.90 tff(14159,plain,
% 3.75/3.90 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[3417, 14158])).
% 3.75/3.90 tff(14160,plain,
% 3.75/3.90 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[7305, 14159, 856, 1507])).
% 3.75/3.90 tff(14161,plain,
% 3.75/3.90 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[596, 14160])).
% 3.75/3.90 tff(14162,plain,
% 3.75/3.90 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[8631, 76, 16, 14161, 6, 14027])).
% 3.75/3.90 tff(14163,plain,
% 3.75/3.90 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[2750, 14162])).
% 3.75/3.90 tff(14164,plain,
% 3.75/3.90 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[5346, 14163, 468, 1507])).
% 3.75/3.90 tff(14165,plain,
% 3.75/3.90 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[1871, 14164])).
% 3.75/3.90 tff(14166,plain,
% 3.75/3.90 (~b(s(s(s(z))), s(z))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[10699, 14159, 856, 1507])).
% 3.75/3.90 tff(14167,plain,
% 3.75/3.90 (r(s(s(s(z))), s(z))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[535, 14166])).
% 3.75/3.90 tff(14168,plain,
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% 3.75/3.90 inference(rewrite,[status(thm)],[])).
% 3.75/3.90 tff(14169,plain,
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% 3.75/3.90 inference(rewrite,[status(thm)],[])).
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% 3.75/3.90 inference(monotonicity,[status(thm)],[14169])).
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% 3.75/3.90 inference(transitivity,[status(thm)],[14170, 14168])).
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% 3.75/3.90 inference(quant_inst,[status(thm)],[])).
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% 3.75/3.90 inference(modus_ponens,[status(thm)],[14172, 14171])).
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% 3.75/3.90 inference(unit_resolution,[status(thm)],[14173, 76, 14161, 6, 14027, 14167, 14165])).
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% 3.75/3.90 tff(14176,plain,
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% 3.75/3.90 inference(unit_resolution,[status(thm)],[14175, 468, 1507, 16, 856])).
% 3.75/3.90 tff(14177,plain,
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% 3.75/3.90 inference(unit_resolution,[status(thm)],[153, 14176])).
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% 3.75/3.90 tff(14179,plain,
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% 3.75/3.90 inference(unit_resolution,[status(thm)],[1871, 14178])).
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% 3.75/3.90 tff(14183,plain,
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% 3.75/3.90 tff(14186,plain,
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% 3.75/3.90 tff(14211,plain,
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% 3.75/3.90 tff(14239,plain,
% 3.75/3.90 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[596, 14238])).
% 3.75/3.90 tff(14240,plain,
% 3.75/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.90 inference(rewrite,[status(thm)],[])).
% 3.75/3.90 tff(14241,plain,
% 3.75/3.90 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.90 inference(rewrite,[status(thm)],[])).
% 3.75/3.90 tff(14242,plain,
% 3.75/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z)))))))),
% 3.75/3.90 inference(monotonicity,[status(thm)],[14241])).
% 3.75/3.90 tff(14243,plain,
% 3.75/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.90 inference(transitivity,[status(thm)],[14242, 14240])).
% 3.75/3.90 tff(14244,plain,
% 3.75/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.75/3.90 inference(quant_inst,[status(thm)],[])).
% 3.75/3.90 tff(14245,plain,
% 3.75/3.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z)))))),
% 3.75/3.90 inference(modus_ponens,[status(thm)],[14244, 14243])).
% 3.75/3.90 tff(14246,plain,
% 3.75/3.90 ($false),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14245, 213, 506, 281, 1507, 868, 856])).
% 3.75/3.90 tff(14247,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.90 tff(14248,plain,
% 3.75/3.90 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14247, 14235, 856, 14221, 14239])).
% 3.75/3.90 tff(14249,plain,
% 3.75/3.90 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[653, 14248])).
% 3.75/3.90 tff(14250,plain,
% 3.75/3.90 ($false),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[4608, 76, 14219, 14249, 2296, 14237])).
% 3.75/3.90 tff(14251,plain,((~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.90 tff(14252,plain,
% 3.75/3.90 (~b(z, s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14251, 9, 191, 856, 16, 2296, 1])).
% 3.75/3.90 tff(14253,plain,
% 3.75/3.90 (r(z, s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[5013, 14252])).
% 3.75/3.90 tff(14254,plain,
% 3.75/3.90 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[1150, 76, 14253, 16, 14027, 10954])).
% 3.75/3.90 tff(14255,plain,
% 3.75/3.90 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[250, 14254])).
% 3.75/3.90 tff(14256,plain,
% 3.75/3.90 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[7745, 14255, 14221, 14189])).
% 3.75/3.90 tff(14257,plain,
% 3.75/3.90 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[1871, 14256])).
% 3.75/3.90 tff(14258,plain,
% 3.75/3.90 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[13182, 14257, 2296, 14253])).
% 3.75/3.90 tff(14259,plain,
% 3.75/3.90 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[596, 14258])).
% 3.75/3.90 tff(14260,plain,
% 3.75/3.90 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[3458, 14259, 14221, 14189])).
% 3.75/3.90 tff(14261,plain,
% 3.75/3.90 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[2750, 14260])).
% 3.75/3.90 tff(14262,plain,
% 3.75/3.90 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 3.75/3.90 inference(rewrite,[status(thm)],[])).
% 3.75/3.90 tff(14263,plain,
% 3.75/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))))),
% 3.75/3.90 inference(monotonicity,[status(thm)],[14262])).
% 3.75/3.90 tff(14264,plain,
% 3.75/3.90 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 3.75/3.90 inference(transitivity,[status(thm)],[14263, 566])).
% 3.75/3.90 tff(14265,plain,
% 3.75/3.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))))),
% 3.75/3.90 inference(quant_inst,[status(thm)],[])).
% 3.75/3.90 tff(14266,plain,
% 3.75/3.90 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))),
% 3.75/3.90 inference(modus_ponens,[status(thm)],[14265, 14264])).
% 3.75/3.90 tff(14267,plain,
% 3.75/3.90 ($false),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14266, 76, 14253, 14219, 14261, 14257])).
% 3.75/3.90 tff(14268,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.90 tff(14269,plain,
% 3.75/3.90 (~r(s(s(s(z))), z)),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14268, 14187, 16, 191, 856, 1])).
% 3.75/3.90 tff(14270,plain,
% 3.75/3.90 (b(s(s(s(z))), z)),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[2303, 14269])).
% 3.75/3.90 tff(14271,plain,
% 3.75/3.90 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14175, 14036, 14157, 16, 856])).
% 3.75/3.90 tff(14272,plain,
% 3.75/3.90 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[153, 14271])).
% 3.75/3.90 tff(14273,plain,
% 3.75/3.90 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[7745, 14272, 14036, 14157])).
% 3.75/3.90 tff(14274,plain,
% 3.75/3.90 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[1871, 14273])).
% 3.75/3.90 tff(14275,plain,
% 3.75/3.90 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[3458, 506, 14157, 14272])).
% 3.75/3.90 tff(14276,plain,
% 3.75/3.90 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[2750, 14275])).
% 3.75/3.90 tff(14277,plain,
% 3.75/3.90 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[7305, 506, 856, 14157])).
% 3.75/3.90 tff(14278,plain,
% 3.75/3.90 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[3417, 14277])).
% 3.75/3.90 tff(14279,plain,
% 3.75/3.90 (~r(s(s(s(z))), z)),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14268, 14278, 16, 191, 856, 1])).
% 3.75/3.90 tff(14280,plain,
% 3.75/3.90 (b(s(s(s(z))), z)),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[2303, 14279])).
% 3.75/3.90 tff(14281,plain,
% 3.75/3.90 (~b(z, s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[8785, 14280, 856, 1])).
% 3.75/3.90 tff(14282,plain,
% 3.75/3.90 (r(z, s(s(s(z))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[581, 14281])).
% 3.75/3.90 tff(14283,plain,
% 3.75/3.90 (~b(s(z), z)),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[3821, 14280, 856, 1])).
% 3.75/3.90 tff(14284,plain,
% 3.75/3.90 (r(s(z), z)),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[3759, 14283])).
% 3.75/3.90 tff(14285,plain,
% 3.75/3.90 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[11098, 14284, 14278])).
% 3.75/3.90 tff(14286,plain,
% 3.75/3.90 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[233, 14285])).
% 3.75/3.90 tff(14287,plain,
% 3.75/3.90 (~b(z, s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[11575, 14286, 14036, 191])).
% 3.75/3.90 tff(14288,plain,
% 3.75/3.90 (r(z, s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[5013, 14287])).
% 3.75/3.90 tff(14289,plain,
% 3.75/3.90 ($false),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14266, 76, 14288, 14282, 14276, 14274])).
% 3.75/3.90 tff(14290,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.90 tff(14291,plain,
% 3.75/3.90 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14290, 1, 856, 191, 16])).
% 3.75/3.90 tff(14292,plain,
% 3.75/3.90 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[596, 14291])).
% 3.75/3.90 tff(14293,plain,
% 3.75/3.90 (~r(s(s(s(z))), s(z))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[682, 14187, 14027, 14292])).
% 3.75/3.90 tff(14294,plain,
% 3.75/3.90 (b(s(s(s(z))), s(z))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[535, 14293])).
% 3.75/3.90 tff(14295,plain,
% 3.75/3.90 ($false),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[3188, 213, 1, 856, 14294, 14270])).
% 3.75/3.90 tff(14296,plain,((~b(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.90 tff(14297,plain,
% 3.75/3.90 (~b(z, s(z))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14296, 191, 16, 856])).
% 3.75/3.90 tff(14298,plain,
% 3.75/3.90 (r(z, s(z))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[370, 14297])).
% 3.75/3.90 tff(14299,plain,
% 3.75/3.90 ((~r(z, s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[1122, 10954])).
% 3.75/3.90 tff(14300,plain,
% 3.75/3.90 (~r(s(z), z)),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14299, 350, 14027])).
% 3.75/3.90 tff(14301,plain,
% 3.75/3.90 (b(s(z), z)),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[3759, 14300])).
% 3.75/3.90 tff(14302,plain,
% 3.75/3.90 ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(z)))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[9407, 10954])).
% 3.75/3.90 tff(14303,plain,
% 3.75/3.90 (~b(z, s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14302, 5, 14027, 14301, 350])).
% 3.75/3.90 tff(14304,plain,
% 3.75/3.90 (r(z, s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[5013, 14303])).
% 3.75/3.90 tff(14305,plain,
% 3.75/3.90 ($false),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[1150, 76, 14304, 16, 14027, 5, 10954])).
% 3.75/3.90 tff(14306,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.90 tff(14307,plain,
% 3.75/3.90 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14306, 14298, 16])).
% 3.75/3.90 tff(14308,plain,
% 3.75/3.90 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[250, 14307])).
% 3.75/3.90 tff(14309,plain,
% 3.75/3.90 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[1749, 9, 14027, 350])).
% 3.75/3.90 tff(14310,plain,
% 3.75/3.90 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[233, 14309])).
% 3.75/3.90 tff(14311,plain,
% 3.75/3.90 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[14306, 350, 16])).
% 3.75/3.90 tff(14312,plain,
% 3.75/3.90 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.90 inference(unit_resolution,[status(thm)],[250, 14311])).
% 3.75/3.90 tff(14313,plain,
% 3.75/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.90 inference(rewrite,[status(thm)],[])).
% 3.75/3.90 tff(14314,plain,
% 3.75/3.90 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.90 inference(rewrite,[status(thm)],[])).
% 3.75/3.90 tff(14315,plain,
% 3.75/3.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.75/3.91 inference(monotonicity,[status(thm)],[14314])).
% 3.75/3.91 tff(14316,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.91 inference(transitivity,[status(thm)],[14315, 14313])).
% 3.75/3.91 tff(14317,plain,
% 3.75/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.75/3.91 inference(quant_inst,[status(thm)],[])).
% 3.75/3.91 tff(14318,plain,
% 3.75/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.75/3.91 inference(modus_ponens,[status(thm)],[14317, 14316])).
% 3.75/3.91 tff(14319,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14318, 213, 191, 14312, 14189, 14310])).
% 3.75/3.91 tff(14320,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14321,plain,
% 3.75/3.91 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14320, 191, 16, 14298])).
% 3.75/3.91 tff(14322,plain,
% 3.75/3.91 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3417, 14321])).
% 3.75/3.91 tff(14323,plain,
% 3.75/3.91 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14185, 14322, 856, 16, 14308])).
% 3.75/3.91 tff(14324,plain,
% 3.75/3.91 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1042, 14323])).
% 3.75/3.91 tff(14325,plain,
% 3.75/3.91 ((~r(s(s(s(z))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[12747, 10954])).
% 3.75/3.91 tff(14326,plain,
% 3.75/3.91 (~r(s(s(s(z))), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14325, 14324, 14027, 14298])).
% 3.75/3.91 tff(14327,plain,
% 3.75/3.91 (b(s(s(s(z))), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[2303, 14326])).
% 3.75/3.91 tff(14328,plain,
% 3.75/3.91 (~r(s(z), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14299, 14298, 14027])).
% 3.75/3.91 tff(14329,plain,
% 3.75/3.91 (b(s(z), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3759, 14328])).
% 3.75/3.91 tff(14330,plain,
% 3.75/3.91 (~b(z, s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[6460, 14327, 856, 14329])).
% 3.75/3.91 tff(14331,plain,
% 3.75/3.91 (r(z, s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[581, 14330])).
% 3.75/3.91 tff(14332,plain,
% 3.75/3.91 (((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.75/3.91 inference(rewrite,[status(thm)],[])).
% 3.75/3.91 tff(14333,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))))),
% 3.75/3.91 inference(monotonicity,[status(thm)],[14332])).
% 3.75/3.91 tff(14334,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.75/3.91 inference(transitivity,[status(thm)],[14333, 5016])).
% 3.75/3.91 tff(14335,plain,
% 3.75/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z)))),
% 3.75/3.91 inference(quant_inst,[status(thm)],[])).
% 3.75/3.91 tff(14336,plain,
% 3.75/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), z))),
% 3.75/3.91 inference(modus_ponens,[status(thm)],[14335, 14334])).
% 3.75/3.91 tff(14337,plain,
% 3.75/3.91 (~b(s(s(s(s(s(s(s(z))))))), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14336, 213, 5015, 191, 468])).
% 3.75/3.91 tff(14338,plain,
% 3.75/3.91 (r(s(s(s(s(s(s(s(z))))))), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[189, 14337])).
% 3.75/3.91 tff(14339,plain,
% 3.75/3.91 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[10968, 213, 5015, 782, 191, 468])).
% 3.75/3.91 tff(14340,plain,
% 3.75/3.91 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[450, 14339])).
% 3.75/3.91 tff(14341,plain,
% 3.75/3.91 (~b(s(z), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[5438, 213, 5015, 782, 191])).
% 3.75/3.91 tff(14342,plain,
% 3.75/3.91 (r(s(z), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3759, 14341])).
% 3.75/3.91 tff(14343,plain,
% 3.75/3.91 ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14046, 76, 14342, 1028, 691])).
% 3.75/3.91 tff(14344,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14343, 14340, 14338])).
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% 3.75/3.91 tff(14346,plain,
% 3.75/3.91 (~b(s(z), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14345, 5015, 691, 191, 468, 1028])).
% 3.75/3.91 tff(14347,plain,
% 3.75/3.91 (~r(s(z), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[11135, 5015, 3771, 191, 1016])).
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% 3.75/3.91 tff(14350,plain,
% 3.75/3.91 (~b(z, s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14349, 14331, 191, 14329, 14327, 14308, 14324])).
% 3.75/3.91 tff(14351,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[5013, 14350])).
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% 3.75/3.91 (~r(s(z), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[358, 14351, 16, 14298])).
% 3.75/3.91 tff(14353,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[796, 14352])).
% 3.75/3.91 tff(14354,plain,
% 3.75/3.91 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[11264, 14351, 16, 14298, 14331])).
% 3.75/3.91 tff(14355,plain,
% 3.75/3.91 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1871, 14354])).
% 3.75/3.91 tff(14356,plain,
% 3.75/3.91 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[13489, 14355, 16, 14298, 14353, 14327, 191])).
% 3.75/3.91 tff(14357,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[14299, 350, 15])).
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[3759, 14357])).
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% 3.75/3.91 tff(14360,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[2303, 14359])).
% 3.75/3.91 tff(14361,plain,
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% 3.75/3.91 tff(14362,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[581, 14361])).
% 3.75/3.91 tff(14363,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[14349, 14360, 191, 14358, 14362, 468, 1028])).
% 3.75/3.91 tff(14364,plain,
% 3.75/3.91 (r(z, s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[5013, 14363])).
% 3.75/3.91 tff(14365,plain,
% 3.75/3.91 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[8833, 4, 15, 350, 468, 14364])).
% 3.75/3.91 tff(14366,plain,
% 3.75/3.91 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[233, 14365])).
% 3.75/3.91 tff(14367,plain,
% 3.75/3.91 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3405, 4, 468, 782])).
% 3.75/3.91 tff(14368,plain,
% 3.75/3.91 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[153, 14367])).
% 3.75/3.91 tff(14369,plain,
% 3.75/3.91 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[2684, 14368, 1028, 2410])).
% 3.75/3.91 tff(14370,plain,
% 3.75/3.91 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[596, 14369])).
% 3.75/3.91 tff(14371,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[8553, 213, 782, 191, 14370, 856, 4, 14366, 2350])).
% 3.75/3.91 tff(14372,plain,((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14373,plain,
% 3.75/3.91 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14372, 14355, 191, 856, 14322, 14324, 14353, 14027, 14298, 14308])).
% 3.75/3.91 tff(14374,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[2750, 14373, 14356])).
% 3.75/3.91 tff(14375,plain,((~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14376,plain,
% 3.75/3.91 (~b(s(s(s(s(z)))), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14375, 856, 16])).
% 3.75/3.91 tff(14377,plain,
% 3.75/3.91 (r(s(s(s(s(z)))), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[170, 14376])).
% 3.75/3.91 tff(14378,plain,
% 3.75/3.91 ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[9394, 10954])).
% 3.75/3.91 tff(14379,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[14378, 5, 14027, 14377])).
% 3.75/3.91 tff(14380,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[370, 14379])).
% 3.75/3.91 tff(14381,plain,
% 3.75/3.91 (~b(z, s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[8680, 8, 856, 1])).
% 3.75/3.91 tff(14382,plain,
% 3.75/3.91 (r(z, s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[581, 14381])).
% 3.75/3.91 tff(14383,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[5249, 12137, 16, 14377, 14382])).
% 3.75/3.91 tff(14384,plain,
% 3.75/3.91 (~b(s(z), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3954, 12137, 14377, 1, 8])).
% 3.75/3.91 tff(14385,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3759, 14384, 14383])).
% 3.75/3.91 tff(14386,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14387,plain,
% 3.75/3.91 (~b(s(s(s(z))), s(z))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14386, 14380, 16, 856, 14029])).
% 3.75/3.91 tff(14388,plain,
% 3.75/3.91 (r(s(s(s(z))), s(z))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[535, 14387])).
% 3.75/3.91 tff(14389,plain,
% 3.75/3.91 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[682, 11, 14027, 14388])).
% 3.75/3.91 tff(14390,plain,
% 3.75/3.91 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3417, 14389])).
% 3.75/3.91 tff(14391,plain,
% 3.75/3.91 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[2357, 2305, 14029, 856])).
% 3.75/3.91 tff(14392,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[1871, 14391])).
% 3.75/3.91 tff(14393,plain,
% 3.75/3.91 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[2664, 14392, 5, 11])).
% 3.75/3.91 tff(14394,plain,
% 3.75/3.91 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[153, 14393])).
% 3.75/3.91 tff(14395,plain,
% 3.75/3.91 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1564, 14392, 16, 14027, 5])).
% 3.75/3.91 tff(14396,plain,
% 3.75/3.91 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1042, 14395])).
% 3.75/3.91 tff(14397,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[9782, 14396, 14394, 16, 14390, 11, 14029, 2305, 14388])).
% 3.75/3.91 tff(14398,plain,((~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14399,plain,
% 3.75/3.91 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14398, 11, 16, 5, 856])).
% 3.75/3.91 tff(14400,plain,
% 3.75/3.91 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[2750, 14399])).
% 3.75/3.91 tff(14401,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[3633, 14400, 16, 14377, 14388])).
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[3759, 14401])).
% 3.75/3.91 tff(14403,plain,
% 3.75/3.91 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[4943, 14400, 14027, 5, 14388])).
% 3.75/3.91 tff(14404,plain,
% 3.75/3.91 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1042, 14403])).
% 3.75/3.91 tff(14405,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[13044, 5, 14377])).
% 3.75/3.91 tff(14406,plain,
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% 3.75/3.91 inference(unit_resolution,[status(thm)],[5013, 14405])).
% 3.75/3.91 tff(14407,plain,
% 3.75/3.91 (~b(s(s(s(z))), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3821, 14402, 856, 14380])).
% 3.75/3.91 tff(14408,plain,
% 3.75/3.91 (r(s(s(s(z))), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[2303, 14407])).
% 3.75/3.91 tff(14409,plain,
% 3.75/3.91 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[11416, 14408, 11])).
% 3.75/3.91 tff(14410,plain,
% 3.75/3.91 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[233, 14409])).
% 3.75/3.91 tff(14411,plain,
% 3.75/3.91 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[13188, 14408, 11, 14029, 5, 14402])).
% 3.75/3.91 tff(14412,plain,
% 3.75/3.91 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1871, 14411])).
% 3.75/3.91 tff(14413,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.75/3.91 inference(rewrite,[status(thm)],[])).
% 3.75/3.91 tff(14414,plain,
% 3.75/3.91 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.75/3.91 inference(rewrite,[status(thm)],[])).
% 3.75/3.91 tff(14415,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.75/3.91 inference(monotonicity,[status(thm)],[14414])).
% 3.75/3.91 tff(14416,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.75/3.91 inference(transitivity,[status(thm)],[14415, 14413])).
% 3.75/3.91 tff(14417,plain,
% 3.75/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)))),
% 3.75/3.91 inference(quant_inst,[status(thm)],[])).
% 3.75/3.91 tff(14418,plain,
% 3.75/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.75/3.91 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 3.75/3.91 tff(14419,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14418, 213, 3771, 5015, 782, 1507, 4, 202, 2350])).
% 3.75/3.91 tff(14420,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14421,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14420, 14412, 14410, 14029, 14406, 14390, 14404, 14402])).
% 3.75/3.91 tff(14422,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14423,plain,
% 3.75/3.91 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14422, 5, 856, 16])).
% 3.75/3.91 tff(14424,plain,
% 3.75/3.91 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[596, 14423])).
% 3.75/3.91 tff(14425,plain,
% 3.75/3.91 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[4959, 1028, 14027, 5, 12])).
% 3.75/3.91 tff(14426,plain,
% 3.75/3.91 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1564, 1028, 16, 14027, 5])).
% 3.75/3.91 tff(14427,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1871, 14426, 14425])).
% 3.75/3.91 tff(14428,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14429,plain,
% 3.75/3.91 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14428, 5, 16, 14388])).
% 3.75/3.91 tff(14430,plain,
% 3.75/3.91 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1042, 14429])).
% 3.75/3.91 tff(14431,plain,
% 3.75/3.91 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[7305, 14430, 856, 14424])).
% 3.75/3.91 tff(14432,plain,
% 3.75/3.91 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3417, 14431])).
% 3.75/3.91 tff(14433,plain,
% 3.75/3.91 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3458, 1507, 506, 203])).
% 3.75/3.91 tff(14434,plain,
% 3.75/3.91 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[2750, 14433])).
% 3.75/3.91 tff(14435,plain,
% 3.75/3.91 (~r(z, s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[10569, 14434, 16, 14377, 12])).
% 3.75/3.91 tff(14436,plain,
% 3.75/3.91 (b(z, s(s(s(z))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[581, 14435])).
% 3.75/3.91 tff(14437,plain,
% 3.75/3.91 (~r(s(z), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3633, 14434, 16, 14377, 12])).
% 3.75/3.91 tff(14438,plain,
% 3.75/3.91 (b(s(z), z)),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3759, 14437])).
% 3.75/3.91 tff(14439,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.91 inference(rewrite,[status(thm)],[])).
% 3.75/3.91 tff(14440,plain,
% 3.75/3.91 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.91 inference(rewrite,[status(thm)],[])).
% 3.75/3.91 tff(14441,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.75/3.91 inference(monotonicity,[status(thm)],[14440])).
% 3.75/3.91 tff(14442,plain,
% 3.75/3.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.91 inference(transitivity,[status(thm)],[14441, 14439])).
% 3.75/3.91 tff(14443,plain,
% 3.75/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))),
% 3.75/3.91 inference(quant_inst,[status(thm)],[])).
% 3.75/3.91 tff(14444,plain,
% 3.75/3.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))),
% 3.75/3.91 inference(modus_ponens,[status(thm)],[14443, 14442])).
% 3.75/3.91 tff(14445,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14444, 213, 14438, 506, 1507, 14436, 856])).
% 3.75/3.91 tff(14446,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14447,plain,
% 3.75/3.91 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14446, 14430, 856, 16, 14388, 14424])).
% 3.75/3.91 tff(14448,plain,
% 3.75/3.91 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[153, 14447])).
% 3.75/3.91 tff(14449,plain,
% 3.75/3.91 ($false),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[84, 14448, 14432, 14027, 16])).
% 3.75/3.91 tff(14450,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.91 tff(14451,plain,
% 3.75/3.91 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14450, 856, 16])).
% 3.75/3.91 tff(14452,plain,
% 3.75/3.91 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[250, 14451])).
% 3.75/3.91 tff(14453,plain,
% 3.75/3.91 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14175, 1507, 14452, 16, 856])).
% 3.75/3.91 tff(14454,plain,
% 3.75/3.91 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[153, 14453])).
% 3.75/3.91 tff(14455,plain,
% 3.75/3.91 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[14185, 1507, 856, 16, 14452])).
% 3.75/3.91 tff(14456,plain,
% 3.75/3.91 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[3417, 14455])).
% 3.75/3.91 tff(14457,plain,
% 3.75/3.91 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[7745, 14454, 14452, 1507])).
% 3.75/3.91 tff(14458,plain,
% 3.75/3.91 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1871, 14457])).
% 3.75/3.91 tff(14459,plain,
% 3.75/3.91 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[1749, 350, 14027, 9])).
% 3.75/3.91 tff(14460,plain,
% 3.75/3.91 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.91 inference(unit_resolution,[status(thm)],[233, 14459])).
% 3.75/3.91 tff(14461,plain,
% 3.75/3.91 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.92 inference(rewrite,[status(thm)],[])).
% 3.75/3.92 tff(14462,plain,
% 3.75/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.75/3.92 inference(monotonicity,[status(thm)],[14461])).
% 3.75/3.92 tff(14463,plain,
% 3.75/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.92 inference(transitivity,[status(thm)],[14462, 11486])).
% 3.75/3.92 tff(14464,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[6084, 213, 14549, 14533, 14555, 14553])).
% 3.75/3.92 tff(14557,plain,((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.92 tff(14558,plain,
% 3.75/3.92 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14557, 856, 16])).
% 3.75/3.92 tff(14559,plain,
% 3.75/3.92 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[3417, 14558])).
% 3.75/3.92 tff(14560,plain,
% 3.75/3.92 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[1749, 350, 14027, 14559])).
% 3.75/3.92 tff(14561,plain,
% 3.75/3.92 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[233, 14560])).
% 3.75/3.92 tff(14562,plain,
% 3.75/3.92 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[476, 467, 468, 203])).
% 3.75/3.92 tff(14563,plain,
% 3.75/3.92 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[338, 14562])).
% 3.75/3.92 tff(14564,plain,
% 3.75/3.92 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[2440, 14563, 155, 350, 16])).
% 3.75/3.92 tff(14565,plain,
% 3.75/3.92 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[627, 14564])).
% 3.75/3.92 tff(14566,plain,
% 3.75/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.92 inference(rewrite,[status(thm)],[])).
% 3.75/3.92 tff(14567,plain,
% 3.75/3.92 (((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.92 inference(rewrite,[status(thm)],[])).
% 3.75/3.92 tff(14568,plain,
% 3.75/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.75/3.92 inference(monotonicity,[status(thm)],[14567])).
% 3.75/3.92 tff(14569,plain,
% 3.75/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.92 inference(transitivity,[status(thm)],[14568, 14566])).
% 3.75/3.92 tff(14570,plain,
% 3.75/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.75/3.92 inference(quant_inst,[status(thm)],[])).
% 3.75/3.92 tff(14571,plain,
% 3.75/3.92 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.75/3.92 inference(modus_ponens,[status(thm)],[14570, 14569])).
% 3.75/3.92 tff(14572,plain,
% 3.75/3.92 ($false),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14571, 213, 468, 203, 467, 14565, 202])).
% 3.75/3.92 tff(14573,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.92 tff(14574,plain,
% 3.75/3.92 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14573, 14561, 14519, 14452, 14377, 350, 16])).
% 3.75/3.92 tff(14575,plain,
% 3.75/3.92 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[484, 14574])).
% 3.75/3.92 tff(14576,plain,
% 3.75/3.92 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14473, 350, 16, 856, 14519, 14559])).
% 3.75/3.92 tff(14577,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[1871, 14576])).
% 3.75/3.92 tff(14578,plain,
% 3.75/3.92 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 3.75/3.92 tff(14579,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[596, 14578])).
% 3.75/3.92 tff(14580,plain,
% 3.75/3.92 (~r(s(s(s(z))), s(z))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[682, 14579, 14027, 14559])).
% 3.75/3.92 tff(14581,plain,
% 3.75/3.92 (b(s(s(s(z))), s(z))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[535, 14580])).
% 3.75/3.92 tff(14582,plain,
% 3.75/3.92 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[3226, 14575, 14027, 14559])).
% 3.75/3.92 tff(14583,plain,
% 3.75/3.92 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[610, 14582])).
% 3.75/3.92 tff(14584,plain,
% 3.75/3.92 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[4911, 213, 14583, 856, 14581])).
% 3.75/3.92 tff(14585,plain,
% 3.75/3.92 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[653, 14584])).
% 3.75/3.92 tff(14586,plain,
% 3.75/3.92 ($false),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[7817, 76, 14579, 14505, 14585, 14575])).
% 3.75/3.92 tff(14587,plain,((~r(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.92 tff(14588,plain,
% 3.75/3.92 (~r(z, s(z))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14587, 856, 16])).
% 3.75/3.92 tff(14589,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[370, 14588])).
% 3.75/3.92 tff(14590,plain,
% 3.75/3.92 (~r(z, s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14048, 14589, 14027, 856, 14505])).
% 3.75/3.92 tff(14591,plain,
% 3.75/3.92 (b(z, s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[581, 14590])).
% 3.75/3.92 tff(14592,plain,
% 3.75/3.92 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 3.75/3.92 tff(14593,plain,
% 3.75/3.92 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[596, 14592])).
% 3.75/3.92 tff(14594,plain,
% 3.75/3.92 (~b(s(s(s(z))), s(z))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[8680, 14591, 856, 14589])).
% 3.75/3.92 tff(14595,plain,
% 3.75/3.92 (r(s(s(s(z))), s(z))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[535, 14594])).
% 3.75/3.92 tff(14596,plain,
% 3.75/3.92 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[3622, 14593, 14452, 14519])).
% 3.75/3.92 tff(14597,plain,
% 3.75/3.92 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[1871, 14596])).
% 3.75/3.92 tff(14598,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[11248, 14597, 14595, 16])).
% 3.75/3.92 tff(14599,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[796, 14598])).
% 3.75/3.92 tff(14600,plain,
% 3.75/3.92 (~b(s(s(s(z))), z)),
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% 3.75/3.92 tff(14601,plain,
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% 3.75/3.92 tff(14602,plain,
% 3.75/3.92 (~r(z, s(s(s(s(z)))))),
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% 3.75/3.92 tff(14603,plain,
% 3.75/3.92 (b(z, s(s(s(s(z)))))),
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% 3.75/3.92 tff(14604,plain,
% 3.75/3.92 (~r(s(z), z)),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[6718, 14597, 16, 14601, 14595])).
% 3.75/3.92 tff(14605,plain,
% 3.75/3.92 (b(s(z), z)),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[3759, 14604])).
% 3.75/3.92 tff(14606,plain,
% 3.75/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.92 inference(rewrite,[status(thm)],[])).
% 3.75/3.92 tff(14607,plain,
% 3.75/3.92 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.92 inference(rewrite,[status(thm)],[])).
% 3.75/3.92 tff(14608,plain,
% 3.75/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z)))))))),
% 3.75/3.92 inference(monotonicity,[status(thm)],[14607])).
% 3.75/3.92 tff(14609,plain,
% 3.75/3.92 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))))),
% 3.75/3.92 inference(transitivity,[status(thm)],[14608, 14606])).
% 3.75/3.92 tff(14610,plain,
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% 3.75/3.92 inference(quant_inst,[status(thm)],[])).
% 3.75/3.92 tff(14611,plain,
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% 3.75/3.92 inference(modus_ponens,[status(thm)],[14610, 14609])).
% 3.75/3.92 tff(14612,plain,
% 3.75/3.92 ($false),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14611, 213, 14605, 14603, 14599, 14593, 14591, 856, 14452])).
% 3.75/3.92 tff(14613,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.92 tff(14614,plain,
% 3.75/3.92 (~b(s(z), s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14613, 16])).
% 3.75/3.92 tff(14615,plain,
% 3.75/3.92 (r(s(z), s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[564, 14614])).
% 3.75/3.92 tff(14616,plain,
% 3.75/3.92 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[7907, 6, 16, 14027, 14615])).
% 3.75/3.92 tff(14617,plain,
% 3.75/3.92 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[2750, 14616])).
% 3.75/3.92 tff(14618,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[14306, 5, 16])).
% 3.75/3.92 tff(14619,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[370, 14618])).
% 3.75/3.92 tff(14620,plain,
% 3.75/3.92 (~b(s(s(s(s(z)))), z)),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14034, 14619, 5, 16])).
% 3.75/3.92 tff(14621,plain,
% 3.75/3.92 (r(s(s(s(s(z)))), z)),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[170, 14620])).
% 3.75/3.92 tff(14622,plain,
% 3.75/3.92 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[11631, 6, 14621])).
% 3.75/3.92 tff(14623,plain,
% 3.75/3.92 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[233, 14622])).
% 3.75/3.92 tff(14624,plain,
% 3.75/3.92 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[1659, 5, 16, 14027, 14615])).
% 3.75/3.92 tff(14625,plain,
% 3.75/3.92 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[1042, 14624])).
% 3.75/3.92 tff(14626,plain,
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% 3.75/3.92 tff(14627,plain,
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% 3.75/3.92 tff(14629,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.92 tff(14630,plain,
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% 3.75/3.92 tff(14632,plain,
% 3.75/3.92 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[14420, 14631, 14627, 14029, 14159, 14625, 14623])).
% 3.75/3.92 tff(14633,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[1871, 14632])).
% 3.75/3.92 tff(14634,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[2664, 14633, 5, 6])).
% 3.75/3.92 tff(14635,plain,
% 3.75/3.92 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.92 inference(unit_resolution,[status(thm)],[596, 14634])).
% 3.75/3.92 tff(14636,plain,
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% 3.75/3.92 tff(14637,plain,
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% 3.75/3.92 tff(14639,plain,
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% 3.75/3.92 tff(14640,plain,
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% 3.75/3.92 tff(14641,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[550, 110, 2747])).
% 3.75/3.92 tff(14642,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[14641, 540])).
% 3.75/3.92 tff(14643,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[2745, 14642, 8, 782])).
% 3.75/3.92 tff(14644,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[1871, 14643])).
% 3.75/3.92 tff(14645,plain,
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% 3.75/3.92 tff(14646,plain,
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% 3.75/3.92 tff(14647,plain,
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% 3.75/3.92 inference(unit_resolution,[status(thm)],[3405, 14646, 4, 782])).
% 3.75/3.92 tff(14648,plain,
% 3.75/3.92 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
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% 3.75/3.92 tff(14649,plain,
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% 3.75/3.92 tff(14651,plain,
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% 3.75/3.92 tff(14652,plain,
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% 3.75/3.93 tff(14655,plain,
% 3.75/3.93 ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(z, s(z)))),
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% 3.75/3.93 tff(14670,plain,
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% 3.75/3.93 ($false),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[5669, 76, 14680, 14678, 14674, 12, 14668])).
% 3.75/3.93 tff(14682,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14683,plain,
% 3.75/3.93 ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14682, 10954])).
% 3.75/3.93 tff(14684,plain,
% 3.75/3.93 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14683, 14635, 14029, 14627, 14617, 14625, 14657, 14621])).
% 3.75/3.93 tff(14685,plain,
% 3.75/3.93 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[484, 14684])).
% 3.75/3.93 tff(14686,plain,
% 3.75/3.93 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2840, 14685, 14625, 14635, 14637])).
% 3.75/3.93 tff(14687,plain,
% 3.75/3.93 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[819, 14686])).
% 3.75/3.93 tff(14688,plain,
% 3.75/3.93 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[9444, 14687, 14627, 14159, 14623, 14631, 5])).
% 3.75/3.93 tff(14689,plain,
% 3.75/3.93 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[610, 14688])).
% 3.75/3.93 tff(14690,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[6076, 213, 14631, 14619, 14689, 14687])).
% 3.75/3.93 tff(14691,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14692,plain,
% 3.75/3.93 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14691, 5, 16])).
% 3.75/3.93 tff(14693,plain,
% 3.75/3.93 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[153, 14692])).
% 3.75/3.93 tff(14694,plain,
% 3.75/3.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.93 inference(rewrite,[status(thm)],[])).
% 3.75/3.93 tff(14695,plain,
% 3.75/3.93 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.93 inference(rewrite,[status(thm)],[])).
% 3.75/3.93 tff(14696,plain,
% 3.75/3.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.75/3.93 inference(monotonicity,[status(thm)],[14695])).
% 3.75/3.93 tff(14697,plain,
% 3.75/3.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.93 inference(transitivity,[status(thm)],[14696, 14694])).
% 3.75/3.93 tff(14698,plain,
% 3.75/3.93 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.93 inference(quant_inst,[status(thm)],[])).
% 3.75/3.93 tff(14699,plain,
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% 3.75/3.93 inference(modus_ponens,[status(thm)],[14698, 14697])).
% 3.75/3.93 tff(14700,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[14699, 76, 2, 16, 14027, 5, 10954])).
% 3.75/3.93 tff(14701,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14702,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[14701, 5, 16])).
% 3.75/3.93 tff(14703,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[3759, 14702])).
% 3.75/3.93 tff(14704,plain,
% 3.75/3.93 (~b(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3892, 8, 1, 3771])).
% 3.75/3.93 tff(14705,plain,
% 3.75/3.93 (r(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2303, 14704])).
% 3.75/3.93 tff(14706,plain,
% 3.75/3.93 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3954, 8, 155, 1, 3771])).
% 3.75/3.93 tff(14707,plain,
% 3.75/3.93 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2750, 14706])).
% 3.75/3.93 tff(14708,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3458, 14707, 1507, 203])).
% 3.75/3.93 tff(14709,plain,
% 3.75/3.93 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[596, 14708])).
% 3.75/3.93 tff(14710,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2745, 14707, 782, 8])).
% 3.75/3.93 tff(14711,plain,
% 3.75/3.93 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[1871, 14710])).
% 3.75/3.93 tff(14712,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[13188, 14711, 14709, 782, 14705, 5, 3771])).
% 3.75/3.93 tff(14713,plain,((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~r(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14714,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14713, 14029, 5, 14703, 14625, 14693, 14619, 14621])).
% 3.75/3.93 tff(14715,plain,
% 3.75/3.93 (r(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[535, 14714])).
% 3.75/3.93 tff(14716,plain,
% 3.75/3.93 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[13532, 14715, 16, 14615])).
% 3.75/3.93 tff(14717,plain,
% 3.75/3.93 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2750, 14716])).
% 3.75/3.93 tff(14718,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14655, 4, 155, 1, 782, 3771, 1507])).
% 3.75/3.93 tff(14719,plain,
% 3.75/3.93 (r(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[535, 14718])).
% 3.75/3.93 tff(14720,plain,
% 3.75/3.93 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[13532, 14719, 16, 14615])).
% 3.75/3.93 tff(14721,plain,
% 3.75/3.93 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2750, 14720])).
% 3.75/3.93 tff(14722,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3458, 14721, 1507, 203])).
% 3.75/3.93 tff(14723,plain,
% 3.75/3.93 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[9782, 14721, 16, 203, 782, 4, 1507, 14719])).
% 3.75/3.93 tff(14724,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[596, 14723, 14722])).
% 3.75/3.93 tff(14725,plain,((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14726,plain,
% 3.75/3.93 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14725, 14693, 16, 14029, 14625, 14621, 14619, 14703])).
% 3.75/3.93 tff(14727,plain,
% 3.75/3.93 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3417, 14726])).
% 3.75/3.93 tff(14728,plain,
% 3.75/3.93 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[682, 14715, 14027, 14727])).
% 3.75/3.93 tff(14729,plain,
% 3.75/3.93 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[596, 14728])).
% 3.75/3.93 tff(14730,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[3458, 14729, 14717, 14625, 14693])).
% 3.75/3.93 tff(14731,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14732,plain,
% 3.75/3.93 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14731, 16])).
% 3.75/3.93 tff(14733,plain,
% 3.75/3.93 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[250, 14732])).
% 3.75/3.93 tff(14734,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[5346, 1507, 14733, 14617])).
% 3.75/3.93 tff(14735,plain,
% 3.75/3.93 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[1871, 14734])).
% 3.75/3.93 tff(14736,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[4642, 506, 14733, 2305])).
% 3.75/3.93 tff(14737,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[1871, 14736])).
% 3.75/3.93 tff(14738,plain,
% 3.75/3.93 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[4214, 506, 14733, 2305])).
% 3.75/3.93 tff(14739,plain,
% 3.75/3.93 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[1042, 14738])).
% 3.75/3.93 tff(14740,plain,
% 3.75/3.93 ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[12554, 10954])).
% 3.75/3.93 tff(14741,plain,
% 3.75/3.93 (~r(z, s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14740, 14739, 14027, 14615])).
% 3.75/3.93 tff(14742,plain,
% 3.75/3.93 (b(z, s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[370, 14741])).
% 3.75/3.93 tff(14743,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[12697, 76, 15, 10954, 1028, 1027, 2296])).
% 3.75/3.93 tff(14744,plain,((~r(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14745,plain,
% 3.75/3.93 (~r(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14744, 14739, 14027, 14615])).
% 3.75/3.93 tff(14746,plain,
% 3.75/3.93 (b(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2303, 14745])).
% 3.75/3.93 tff(14747,plain,
% 3.75/3.93 (~b(z, s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2313, 14746, 2305, 191])).
% 3.75/3.93 tff(14748,plain,
% 3.75/3.93 (r(z, s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[581, 14747])).
% 3.75/3.93 tff(14749,plain,
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% 3.75/3.93 inference(unit_resolution,[status(thm)],[14046, 76, 2, 15, 10954, 1028, 691])).
% 3.75/3.93 tff(14750,plain,((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14751,plain,
% 3.75/3.93 (~r(s(z), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14750, 14739, 14027, 14748])).
% 3.75/3.93 tff(14752,plain,
% 3.75/3.93 (b(s(z), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3759, 14751])).
% 3.75/3.93 tff(14753,plain,
% 3.75/3.93 (~b(s(z), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[13638, 14752, 191, 14742])).
% 3.75/3.93 tff(14754,plain,
% 3.75/3.93 (r(s(z), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[796, 14753])).
% 3.75/3.93 tff(14755,plain,
% 3.75/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.75/3.93 inference(rewrite,[status(thm)],[])).
% 3.75/3.93 tff(14756,plain,
% 3.75/3.93 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z)))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.75/3.93 inference(rewrite,[status(thm)],[])).
% 3.75/3.93 tff(14757,plain,
% 3.75/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.75/3.93 inference(monotonicity,[status(thm)],[14756])).
% 3.75/3.93 tff(14758,plain,
% 3.75/3.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.75/3.93 inference(transitivity,[status(thm)],[14757, 14755])).
% 3.75/3.93 tff(14759,plain,
% 3.75/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(z))))),
% 3.75/3.93 inference(quant_inst,[status(thm)],[])).
% 3.75/3.93 tff(14760,plain,
% 3.75/3.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.75/3.93 inference(modus_ponens,[status(thm)],[14759, 14758])).
% 3.75/3.93 tff(14761,plain,
% 3.75/3.93 ((~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14760, 213, 14742, 506, 4])).
% 3.75/3.93 tff(14762,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14761, 14752, 14746])).
% 3.75/3.93 tff(14763,plain,
% 3.75/3.93 (r(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[535, 14762])).
% 3.75/3.93 tff(14764,plain,
% 3.75/3.93 ($false),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[11248, 14763, 14754, 14737, 16])).
% 3.75/3.93 tff(14765,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14766,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14765, 191, 14159, 16, 14617])).
% 3.75/3.93 tff(14767,plain,
% 3.75/3.93 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[596, 14766])).
% 3.75/3.93 tff(14768,plain,
% 3.75/3.93 (~r(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[11526, 14735, 6, 14767])).
% 3.75/3.93 tff(14769,plain,
% 3.75/3.93 (b(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2303, 14768])).
% 3.75/3.93 tff(14770,plain,
% 3.75/3.93 (~b(z, s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2313, 14769, 14617, 191])).
% 3.75/3.93 tff(14771,plain,
% 3.75/3.93 (r(z, s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[581, 14770])).
% 3.75/3.93 tff(14772,plain,
% 3.75/3.93 ((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[12568, 10954])).
% 3.75/3.93 tff(14773,plain,
% 3.75/3.93 (~r(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14772, 350, 14027, 6, 14733, 14617, 14767])).
% 3.75/3.93 tff(14774,plain,
% 3.75/3.93 (b(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2303, 14773])).
% 3.75/3.93 tff(14775,plain,
% 3.75/3.93 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14740, 350, 14027, 14615])).
% 3.75/3.93 tff(14776,plain,
% 3.75/3.93 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[1042, 14775])).
% 3.75/3.93 tff(14777,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[5346, 14776, 14733, 14617])).
% 3.75/3.93 tff(14778,plain,
% 3.75/3.93 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[1871, 14777])).
% 3.75/3.93 tff(14779,plain,
% 3.75/3.93 (~r(z, s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[11620, 14778, 6, 16, 14617, 350, 14774])).
% 3.75/3.93 tff(14780,plain,
% 3.75/3.93 (b(z, s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[5013, 14779])).
% 3.75/3.93 tff(14781,plain,
% 3.75/3.93 (~b(z, s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2313, 14774, 14617, 191])).
% 3.75/3.93 tff(14782,plain,
% 3.75/3.93 (r(z, s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[581, 14781])).
% 3.75/3.93 tff(14783,plain,
% 3.75/3.93 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[13953, 14782, 14767, 350, 14615])).
% 3.75/3.93 tff(14784,plain,
% 3.75/3.93 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[233, 14783])).
% 3.75/3.93 tff(14785,plain,
% 3.75/3.93 ($false),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[11575, 14784, 14780, 14733, 191])).
% 3.75/3.93 tff(14786,plain,((~r(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14787,plain,
% 3.75/3.93 (~r(z, s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14786, 191, 6, 16])).
% 3.75/3.93 tff(14788,plain,
% 3.75/3.93 (b(z, s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[370, 14787])).
% 3.75/3.93 tff(14789,plain,
% 3.75/3.93 (~b(s(z), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[13638, 3771, 191, 1])).
% 3.75/3.93 tff(14790,plain,
% 3.75/3.93 (r(s(z), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[796, 14789])).
% 3.75/3.93 tff(14791,plain,
% 3.75/3.93 (~b(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3892, 3771, 1, 1016])).
% 3.75/3.93 tff(14792,plain,
% 3.75/3.93 (r(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[535, 14791])).
% 3.75/3.93 tff(14793,plain,
% 3.75/3.93 ($false),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[11248, 14792, 14790, 1556, 16])).
% 3.75/3.93 tff(14794,plain,((~b(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14795,plain,
% 3.75/3.93 (~b(s(z), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14794, 14735, 16, 14788, 14769, 191])).
% 3.75/3.93 tff(14796,plain,
% 3.75/3.93 (r(s(z), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3759, 14795])).
% 3.75/3.93 tff(14797,plain,
% 3.75/3.93 (~r(s(z), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[7741, 14796, 14615, 14771, 14735])).
% 3.75/3.93 tff(14798,plain,
% 3.75/3.93 (b(s(z), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[796, 14797])).
% 3.75/3.93 tff(14799,plain,
% 3.75/3.93 (~b(z, s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[9753, 14798, 191, 14788])).
% 3.75/3.93 tff(14800,plain,
% 3.75/3.93 (r(z, s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[5013, 14799])).
% 3.75/3.93 tff(14801,plain,
% 3.75/3.93 ($false),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3049, 76, 10, 6, 738, 691, 1556])).
% 3.75/3.93 tff(14802,plain,((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14803,plain,
% 3.75/3.93 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14802, 14800, 6, 14771, 14735])).
% 3.75/3.93 tff(14804,plain,
% 3.75/3.93 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[233, 14803])).
% 3.75/3.93 tff(14805,plain,
% 3.75/3.93 ($false),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14173, 76, 11, 6, 15, 12, 1556])).
% 3.75/3.93 tff(14806,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.93 tff(14807,plain,
% 3.75/3.93 (~r(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14806, 14735, 6, 14027, 14767])).
% 3.75/3.93 tff(14808,plain,
% 3.75/3.93 (b(s(s(s(z))), s(z))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[535, 14807])).
% 3.75/3.93 tff(14809,plain,
% 3.75/3.93 (~r(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[11526, 1556, 6, 14767])).
% 3.75/3.93 tff(14810,plain,
% 3.75/3.93 (b(s(s(s(z))), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2303, 14809])).
% 3.75/3.93 tff(14811,plain,
% 3.75/3.93 (~b(z, s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2313, 14810, 14617, 191])).
% 3.75/3.93 tff(14812,plain,
% 3.75/3.93 (r(z, s(s(s(z))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[581, 14811])).
% 3.75/3.93 tff(14813,plain,
% 3.75/3.93 (~b(s(z), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[14794, 1556, 16, 14788, 14810, 191])).
% 3.75/3.93 tff(14814,plain,
% 3.75/3.93 (r(s(z), z)),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[3759, 14813])).
% 3.75/3.93 tff(14815,plain,
% 3.75/3.93 (~r(s(z), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[7741, 14814, 14615, 14812, 1556])).
% 3.75/3.93 tff(14816,plain,
% 3.75/3.93 (b(s(z), s(s(s(s(z)))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[796, 14815])).
% 3.75/3.93 tff(14817,plain,
% 3.75/3.93 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[2251, 689, 6, 598])).
% 3.75/3.93 tff(14818,plain,
% 3.75/3.93 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[436, 14817])).
% 3.75/3.93 tff(14819,plain,
% 3.75/3.93 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[9292, 14818, 14159, 281])).
% 3.75/3.93 tff(14820,plain,
% 3.75/3.93 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.93 inference(unit_resolution,[status(thm)],[279, 14819])).
% 3.75/3.93 tff(14821,plain,
% 3.75/3.93 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.93 inference(rewrite,[status(thm)],[])).
% 3.75/3.93 tff(14822,plain,
% 3.75/3.93 (((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z)))))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14823,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.75/3.94 inference(monotonicity,[status(thm)],[14822])).
% 3.75/3.94 tff(14824,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(transitivity,[status(thm)],[14823, 14821])).
% 3.75/3.94 tff(14825,plain,
% 3.75/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(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(s(z))))))))))),
% 3.75/3.94 inference(quant_inst,[status(thm)],[])).
% 3.75/3.94 tff(14826,plain,
% 3.75/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.75/3.94 inference(modus_ponens,[status(thm)],[14825, 14824])).
% 3.75/3.94 tff(14827,plain,
% 3.75/3.94 ($false),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[14826, 76, 16, 6, 14027, 14820, 689])).
% 3.75/3.94 tff(14828,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.94 tff(14829,plain,
% 3.75/3.94 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[14828, 281, 6, 16, 598])).
% 3.75/3.94 tff(14830,plain,
% 3.75/3.94 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[338, 14829])).
% 3.75/3.94 tff(14831,plain,
% 3.75/3.94 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[1432, 14830, 14816, 281])).
% 3.75/3.94 tff(14832,plain,
% 3.75/3.94 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[316, 14831])).
% 3.75/3.94 tff(14833,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14834,plain,
% 3.75/3.94 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14835,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.75/3.94 inference(monotonicity,[status(thm)],[14834])).
% 3.75/3.94 tff(14836,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.94 inference(transitivity,[status(thm)],[14835, 14833])).
% 3.75/3.94 tff(14837,plain,
% 3.75/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(quant_inst,[status(thm)],[])).
% 3.75/3.94 tff(14838,plain,
% 3.75/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.75/3.94 inference(modus_ponens,[status(thm)],[14837, 14836])).
% 3.75/3.94 tff(14839,plain,
% 3.75/3.94 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[14838, 76, 14767, 6, 14832, 1556])).
% 3.75/3.94 tff(14840,plain,
% 3.75/3.94 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[4243, 14839])).
% 3.75/3.94 tff(14841,plain,
% 3.75/3.94 (~b(z, s(s(s(s(z)))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[9753, 14816, 191, 14788])).
% 3.75/3.94 tff(14842,plain,
% 3.75/3.94 (r(z, s(s(s(s(z)))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[5013, 14841])).
% 3.75/3.94 tff(14843,plain,
% 3.75/3.94 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[1275, 14832, 6, 14842, 598])).
% 3.75/3.94 tff(14844,plain,
% 3.75/3.94 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[627, 14843])).
% 3.75/3.94 tff(14845,plain,
% 3.75/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14846,plain,
% 3.75/3.94 (((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14847,plain,
% 3.75/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))))),
% 3.75/3.94 inference(monotonicity,[status(thm)],[14846])).
% 3.75/3.94 tff(14848,plain,
% 3.75/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z)))),
% 3.75/3.94 inference(transitivity,[status(thm)],[14847, 14845])).
% 3.75/3.94 tff(14849,plain,
% 3.75/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(quant_inst,[status(thm)],[])).
% 3.75/3.94 tff(14850,plain,
% 3.75/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), z))),
% 3.75/3.94 inference(modus_ponens,[status(thm)],[14849, 14848])).
% 3.75/3.94 tff(14851,plain,
% 3.75/3.94 ($false),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[14850, 213, 14816, 191, 281, 8, 14844, 14840, 14810])).
% 3.75/3.94 tff(14852,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.94 tff(14853,plain,
% 3.75/3.94 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[14852, 598, 8, 6, 14735, 191, 16])).
% 3.75/3.94 tff(14854,plain,
% 3.75/3.94 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[610, 14853])).
% 3.75/3.94 tff(14855,plain,
% 3.75/3.94 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[10363, 76, 6, 14027, 14854, 598])).
% 3.75/3.94 tff(14856,plain,
% 3.75/3.94 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[316, 14855])).
% 3.75/3.94 tff(14857,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14858,plain,
% 3.75/3.94 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14859,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.75/3.94 inference(monotonicity,[status(thm)],[14858])).
% 3.75/3.94 tff(14860,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(transitivity,[status(thm)],[14859, 14857])).
% 3.75/3.94 tff(14861,plain,
% 3.75/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(quant_inst,[status(thm)],[])).
% 3.75/3.94 tff(14862,plain,
% 3.75/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.75/3.94 inference(modus_ponens,[status(thm)],[14861, 14860])).
% 3.75/3.94 tff(14863,plain,
% 3.75/3.94 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[14862, 76, 14796, 14027, 10954, 14854])).
% 3.75/3.94 tff(14864,plain,
% 3.75/3.94 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[436, 14863])).
% 3.75/3.94 tff(14865,plain,
% 3.75/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14866,plain,
% 3.75/3.94 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14867,plain,
% 3.75/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.75/3.94 inference(monotonicity,[status(thm)],[14866])).
% 3.75/3.94 tff(14868,plain,
% 3.75/3.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(transitivity,[status(thm)],[14867, 14865])).
% 3.75/3.94 tff(14869,plain,
% 3.75/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.94 inference(quant_inst,[status(thm)],[])).
% 3.75/3.94 tff(14870,plain,
% 3.75/3.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.75/3.94 inference(modus_ponens,[status(thm)],[14869, 14868])).
% 3.75/3.94 tff(14871,plain,
% 3.75/3.94 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[14870, 213, 1507, 14733, 14864, 14617, 14856])).
% 3.75/3.94 tff(14872,plain,
% 3.75/3.94 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(unit_resolution,[status(thm)],[338, 14871])).
% 3.75/3.94 tff(14873,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14874,plain,
% 3.75/3.94 (((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(rewrite,[status(thm)],[])).
% 3.75/3.94 tff(14875,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.75/3.94 inference(monotonicity,[status(thm)],[14874])).
% 3.75/3.94 tff(14876,plain,
% 3.75/3.94 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.94 inference(transitivity,[status(thm)],[14875, 14873])).
% 3.75/3.94 tff(14877,plain,
% 3.75/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.94 inference(quant_inst,[status(thm)],[])).
% 3.75/3.94 tff(14878,plain,
% 3.75/3.94 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.75/3.95 inference(modus_ponens,[status(thm)],[14877, 14876])).
% 3.75/3.95 tff(14879,plain,
% 3.75/3.95 ($false),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14878, 76, 16, 6, 14027, 598, 14872])).
% 3.75/3.95 tff(14880,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.95 tff(14881,plain,
% 3.75/3.95 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14880, 14808, 6, 1507, 16, 191])).
% 3.75/3.95 tff(14882,plain,
% 3.75/3.95 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[484, 14881])).
% 3.75/3.95 tff(14883,plain,
% 3.75/3.95 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14862, 76, 2, 14027, 10954, 706])).
% 3.75/3.95 tff(14884,plain,
% 3.75/3.95 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[436, 14883])).
% 3.75/3.95 tff(14885,plain,
% 3.75/3.95 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[7504, 14884, 4, 467])).
% 3.75/3.95 tff(14886,plain,
% 3.75/3.95 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[279, 14885])).
% 3.75/3.95 tff(14887,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.95 inference(rewrite,[status(thm)],[])).
% 3.75/3.95 tff(14888,plain,
% 3.75/3.95 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.95 inference(rewrite,[status(thm)],[])).
% 3.75/3.95 tff(14889,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.75/3.95 inference(monotonicity,[status(thm)],[14888])).
% 3.75/3.95 tff(14890,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.95 inference(transitivity,[status(thm)],[14889, 14887])).
% 3.75/3.95 tff(14891,plain,
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% 3.75/3.95 inference(quant_inst,[status(thm)],[])).
% 3.75/3.95 tff(14892,plain,
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% 3.75/3.95 inference(modus_ponens,[status(thm)],[14891, 14890])).
% 3.75/3.95 tff(14893,plain,
% 3.75/3.95 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
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% 3.75/3.95 tff(14894,plain,
% 3.75/3.95 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14893, 14884])).
% 3.75/3.95 tff(14895,plain,
% 3.75/3.95 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[338, 14894])).
% 3.75/3.95 tff(14896,plain,
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% 3.75/3.95 tff(14897,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.95 tff(14898,plain,
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% 3.75/3.95 tff(14899,plain,
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% 3.75/3.95 inference(unit_resolution,[status(thm)],[610, 14898])).
% 3.75/3.95 tff(14900,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.75/3.95 inference(rewrite,[status(thm)],[])).
% 3.75/3.95 tff(14901,plain,
% 3.75/3.95 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.75/3.95 inference(rewrite,[status(thm)],[])).
% 3.75/3.95 tff(14902,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 3.75/3.95 inference(monotonicity,[status(thm)],[14901])).
% 3.75/3.95 tff(14903,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.75/3.95 inference(transitivity,[status(thm)],[14902, 14900])).
% 3.75/3.95 tff(14904,plain,
% 3.75/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.75/3.95 inference(quant_inst,[status(thm)],[])).
% 3.75/3.95 tff(14905,plain,
% 3.75/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 3.75/3.95 inference(modus_ponens,[status(thm)],[14904, 14903])).
% 3.75/3.95 tff(14906,plain,
% 3.75/3.95 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14905, 213, 14788, 14899, 1507, 14882, 14808, 14804])).
% 3.75/3.95 tff(14907,plain,
% 3.75/3.95 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[627, 14906])).
% 3.75/3.95 tff(14908,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.75/3.95 inference(rewrite,[status(thm)],[])).
% 3.75/3.95 tff(14909,plain,
% 3.75/3.95 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.75/3.95 inference(rewrite,[status(thm)],[])).
% 3.75/3.95 tff(14910,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))))),
% 3.75/3.95 inference(monotonicity,[status(thm)],[14909])).
% 3.75/3.95 tff(14911,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))))),
% 3.75/3.95 inference(transitivity,[status(thm)],[14910, 14908])).
% 3.75/3.95 tff(14912,plain,
% 3.75/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.95 inference(quant_inst,[status(thm)],[])).
% 3.75/3.95 tff(14913,plain,
% 3.75/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z)))),
% 3.75/3.95 inference(modus_ponens,[status(thm)],[14912, 14911])).
% 3.75/3.95 tff(14914,plain,
% 3.75/3.95 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14913, 213, 14788, 14899, 1507, 14882, 14808, 14804])).
% 3.75/3.95 tff(14915,plain,
% 3.75/3.95 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[819, 14914])).
% 3.75/3.95 tff(14916,plain,
% 3.75/3.95 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[11025, 14915, 14907])).
% 3.75/3.95 tff(14917,plain,
% 3.75/3.95 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[436, 14916])).
% 3.75/3.95 tff(14918,plain,
% 3.75/3.95 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[7504, 14917, 14159, 14882])).
% 3.75/3.95 tff(14919,plain,
% 3.75/3.95 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[279, 14918])).
% 3.75/3.95 tff(14920,plain,
% 3.75/3.95 ($false),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[2485, 76, 14796, 14771, 14615, 14919, 14907])).
% 3.75/3.95 tff(14921,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.95 tff(14922,plain,
% 3.75/3.95 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14921, 191, 6, 16])).
% 3.75/3.95 tff(14923,plain,
% 3.75/3.95 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[1042, 14922])).
% 3.75/3.95 tff(14924,plain,
% 3.75/3.95 (~r(s(s(s(z))), z)),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14744, 14923, 14027, 14615])).
% 3.75/3.95 tff(14925,plain,
% 3.75/3.95 (b(s(s(s(z))), z)),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[2303, 14924])).
% 3.75/3.95 tff(14926,plain,
% 3.75/3.95 (~b(z, s(s(s(z))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[2313, 14925, 14617, 191])).
% 3.75/3.95 tff(14927,plain,
% 3.75/3.95 (r(z, s(s(s(z))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[581, 14926])).
% 3.75/3.95 tff(14928,plain,
% 3.75/3.95 (~r(s(z), z)),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14750, 14927, 14027, 14923])).
% 3.75/3.95 tff(14929,plain,
% 3.75/3.95 (b(s(z), z)),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[3759, 14928])).
% 3.75/3.95 tff(14930,plain,
% 3.75/3.95 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14794, 14929, 16, 14788, 14925, 191])).
% 3.75/3.95 tff(14931,plain,
% 3.75/3.95 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[1871, 14930])).
% 3.75/3.95 tff(14932,plain,
% 3.75/3.95 (~b(s(z), s(s(s(s(z)))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[13638, 14929, 191, 14788])).
% 3.75/3.95 tff(14933,plain,
% 3.75/3.95 (r(s(z), s(s(s(s(z)))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[796, 14932])).
% 3.75/3.95 tff(14934,plain,
% 3.75/3.95 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[7349, 76, 14027, 706, 1028, 14615])).
% 3.75/3.95 tff(14935,plain,
% 3.75/3.95 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[436, 14934])).
% 3.75/3.95 tff(14936,plain,
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% 3.75/3.95 inference(rewrite,[status(thm)],[])).
% 3.75/3.95 tff(14937,plain,
% 3.75/3.95 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.95 inference(rewrite,[status(thm)],[])).
% 3.75/3.95 tff(14938,plain,
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% 3.75/3.95 inference(monotonicity,[status(thm)],[14937])).
% 3.75/3.95 tff(14939,plain,
% 3.75/3.95 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.95 inference(transitivity,[status(thm)],[14938, 14936])).
% 3.75/3.95 tff(14940,plain,
% 3.75/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.95 inference(quant_inst,[status(thm)],[])).
% 3.75/3.95 tff(14941,plain,
% 3.75/3.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.75/3.95 inference(modus_ponens,[status(thm)],[14940, 14939])).
% 3.75/3.95 tff(14942,plain,
% 3.75/3.95 ($false),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14941, 213, 14733, 14935, 2305, 7757, 2350])).
% 3.75/3.95 tff(14943,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.95 tff(14944,plain,
% 3.75/3.95 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[14943, 14931, 14617, 14923, 16, 14933])).
% 3.75/3.95 tff(14945,plain,
% 3.75/3.95 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[610, 14944])).
% 3.75/3.95 tff(14946,plain,
% 3.75/3.95 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.95 inference(unit_resolution,[status(thm)],[6084, 213, 14929, 14788, 14945])).
% 3.75/3.95 tff(14947,plain,
% 3.75/3.95 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[627, 14946])).
% 3.75/3.96 tff(14948,plain,
% 3.75/3.96 (~b(z, s(s(s(s(z)))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[14349, 14929, 191, 14923, 14925, 14733, 14927])).
% 3.75/3.96 tff(14949,plain,
% 3.75/3.96 (r(z, s(s(s(s(z)))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[5013, 14948])).
% 3.75/3.96 tff(14950,plain,
% 3.75/3.96 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[6076, 213, 14929, 14788, 14945])).
% 3.75/3.96 tff(14951,plain,
% 3.75/3.96 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[819, 14950])).
% 3.75/3.96 tff(14952,plain,
% 3.75/3.96 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[11025, 14951, 14947])).
% 3.75/3.96 tff(14953,plain,
% 3.75/3.96 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[436, 14952])).
% 3.75/3.96 tff(14954,plain,
% 3.75/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.75/3.96 inference(rewrite,[status(thm)],[])).
% 3.75/3.96 tff(14955,plain,
% 3.75/3.96 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.75/3.96 inference(rewrite,[status(thm)],[])).
% 3.75/3.96 tff(14956,plain,
% 3.75/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.75/3.96 inference(monotonicity,[status(thm)],[14955])).
% 3.75/3.96 tff(14957,plain,
% 3.75/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.75/3.96 inference(transitivity,[status(thm)],[14956, 14954])).
% 3.75/3.96 tff(14958,plain,
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% 3.75/3.96 inference(quant_inst,[status(thm)],[])).
% 3.75/3.96 tff(14959,plain,
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% 3.75/3.96 inference(modus_ponens,[status(thm)],[14958, 14957])).
% 3.75/3.96 tff(14960,plain,
% 3.75/3.96 ($false),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[14959, 213, 281, 467, 831, 4])).
% 3.75/3.96 tff(14961,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.96 tff(14962,plain,
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% 3.75/3.96 tff(14963,plain,
% 3.75/3.96 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[484, 14962])).
% 3.75/3.96 tff(14964,plain,
% 3.75/3.96 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[1275, 14963, 6, 14949, 14947])).
% 3.75/3.96 tff(14965,plain,
% 3.75/3.96 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[316, 14964])).
% 3.75/3.96 tff(14966,plain,
% 3.75/3.96 ($false),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[11172, 76, 10954, 691, 690, 598, 13])).
% 3.75/3.96 tff(14967,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.96 tff(14968,plain,
% 3.75/3.96 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[14967, 14963, 14947, 14927])).
% 3.75/3.96 tff(14969,plain,
% 3.75/3.96 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[653, 14968])).
% 3.75/3.96 tff(14970,plain,
% 3.75/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.96 inference(rewrite,[status(thm)],[])).
% 3.75/3.96 tff(14971,plain,
% 3.75/3.96 (((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.96 inference(rewrite,[status(thm)],[])).
% 3.75/3.96 tff(14972,plain,
% 3.75/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.75/3.96 inference(monotonicity,[status(thm)],[14971])).
% 3.75/3.96 tff(14973,plain,
% 3.75/3.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.96 inference(transitivity,[status(thm)],[14972, 14970])).
% 3.75/3.96 tff(14974,plain,
% 3.75/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.96 inference(quant_inst,[status(thm)],[])).
% 3.75/3.96 tff(14975,plain,
% 3.75/3.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.75/3.96 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 3.75/3.96 tff(14976,plain,
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% 3.75/3.96 tff(14977,plain,((~b(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.96 tff(14978,plain,
% 3.75/3.96 (~b(s(s(s(s(z)))), z)),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[14977, 6, 16])).
% 3.75/3.96 tff(14979,plain,
% 3.75/3.96 (r(s(s(s(s(z)))), z)),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[170, 14978])).
% 3.75/3.96 tff(14980,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[14629, 14979, 6, 16])).
% 3.75/3.96 tff(14981,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[3759, 14980])).
% 3.75/3.96 tff(14982,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[11616, 14979, 16, 6])).
% 3.75/3.96 tff(14983,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[370, 14982])).
% 3.75/3.96 tff(14984,plain,
% 3.75/3.96 (~r(s(s(s(z))), z)),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[14744, 1028, 15, 1027])).
% 3.75/3.96 tff(14985,plain,
% 3.75/3.96 (b(s(s(s(z))), z)),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[2303, 14984])).
% 3.75/3.96 tff(14986,plain,
% 3.75/3.96 (~b(s(s(s(z))), s(z))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[3892, 14985, 1, 3771])).
% 3.75/3.96 tff(14987,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[535, 14986])).
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% 3.75/3.96 tff(14989,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~b(z, s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.96 tff(14990,plain,
% 3.75/3.96 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[14989, 14983, 14615, 14027, 14981])).
% 3.75/3.96 tff(14991,plain,
% 3.75/3.96 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.96 inference(unit_resolution,[status(thm)],[1042, 14990])).
% 3.75/3.96 tff(14992,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[4214, 14991, 14733, 14617])).
% 3.75/3.96 tff(14993,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[596, 14992])).
% 3.75/3.96 tff(14994,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[5346, 14991, 14733, 14617])).
% 3.75/3.96 tff(14995,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[1871, 14994])).
% 3.75/3.96 tff(14996,plain,
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% 3.75/3.96 tff(14997,plain,
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% 3.75/3.96 tff(14998,plain,
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% 3.75/3.96 inference(unit_resolution,[status(thm)],[14806, 14995, 6, 14027, 14993])).
% 3.75/3.96 tff(14999,plain,
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% 3.75/3.96 tff(15001,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.96 tff(15002,plain,
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% 3.75/3.96 tff(15003,plain,
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% 3.75/3.96 tff(15004,plain,
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% 3.75/3.96 tff(15005,plain,
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% 3.75/3.96 tff(15006,plain,
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% 3.75/3.96 tff(15007,plain,
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% 3.75/3.96 tff(15012,plain,
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% 3.75/3.96 tff(15013,plain,
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% 3.75/3.96 tff(15014,plain,
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% 3.75/3.96 tff(15015,plain,
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% 3.75/3.96 tff(15016,plain,
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% 3.75/3.96 tff(15017,plain,
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% 3.75/3.96 tff(15019,plain,
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% 3.75/3.96 tff(15027,plain,
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% 3.75/3.96 tff(15028,plain,
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% 3.75/3.96 tff(15029,plain,
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% 3.75/3.96 tff(15033,plain,
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% 3.75/3.96 inference(monotonicity,[status(thm)],[15077])).
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% 3.75/3.96 inference(transitivity,[status(thm)],[15078, 15076])).
% 3.75/3.96 tff(15080,plain,
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% 3.75/3.97 inference(quant_inst,[status(thm)],[])).
% 3.75/3.97 tff(15081,plain,
% 3.75/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.75/3.97 inference(modus_ponens,[status(thm)],[15080, 15079])).
% 3.75/3.97 tff(15082,plain,
% 3.75/3.97 ($false),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15081, 213, 15051, 14733, 15003, 15075, 15017])).
% 3.75/3.97 tff(15083,plain,((~r(s(s(s(s(z)))), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.97 tff(15084,plain,
% 3.75/3.97 (~r(s(s(s(s(z)))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15083, 15015, 15005, 16])).
% 3.75/3.97 tff(15085,plain,
% 3.75/3.97 (b(s(s(s(s(z)))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[170, 15084])).
% 3.75/3.97 tff(15086,plain,
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% 3.75/3.97 inference(unit_resolution,[status(thm)],[13052, 213, 15085, 15013, 15007, 2350])).
% 3.75/3.97 tff(15087,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.97 tff(15088,plain,
% 3.75/3.97 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15087, 16])).
% 3.75/3.97 tff(15089,plain,
% 3.75/3.97 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[1871, 15088])).
% 3.75/3.97 tff(15090,plain,
% 3.75/3.97 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[3405, 782, 14733, 15003])).
% 3.75/3.97 tff(15091,plain,
% 3.75/3.97 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[3417, 15090])).
% 3.75/3.97 tff(15092,plain,
% 3.75/3.97 (~b(s(s(s(s(z)))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[14320, 15091, 16, 350])).
% 3.75/3.97 tff(15093,plain,
% 3.75/3.97 (r(s(s(s(s(z)))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[170, 15092])).
% 3.75/3.97 tff(15094,plain,
% 3.75/3.97 (~r(z, s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[2935, 15093, 2296, 15089])).
% 3.75/3.97 tff(15095,plain,
% 3.75/3.97 (b(z, s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[5013, 15094])).
% 3.75/3.97 tff(15096,plain,
% 3.75/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.97 inference(rewrite,[status(thm)],[])).
% 3.75/3.97 tff(15097,plain,
% 3.75/3.97 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.97 inference(rewrite,[status(thm)],[])).
% 3.75/3.97 tff(15098,plain,
% 3.75/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.75/3.97 inference(monotonicity,[status(thm)],[15097])).
% 3.75/3.97 tff(15099,plain,
% 3.75/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.97 inference(transitivity,[status(thm)],[15098, 15096])).
% 3.75/3.97 tff(15100,plain,
% 3.75/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)))),
% 3.75/3.97 inference(quant_inst,[status(thm)],[])).
% 3.75/3.97 tff(15101,plain,
% 3.75/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.75/3.97 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 3.75/3.97 tff(15102,plain,
% 3.75/3.97 ($false),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15101, 213, 3771, 15095, 782, 14733, 15003])).
% 3.75/3.97 tff(15103,plain,((~b(s(z), s(s(s(s(z)))))) | (~b(s(z), z)) | (~r(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.97 tff(15104,plain,
% 3.75/3.97 (~b(s(z), s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15103, 2296, 3771, 16, 350])).
% 3.75/3.97 tff(15105,plain,
% 3.75/3.97 (r(s(z), s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[796, 15104])).
% 3.75/3.97 tff(15106,plain,
% 3.75/3.97 (~r(z, s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[358, 15105, 16, 350])).
% 3.75/3.97 tff(15107,plain,
% 3.75/3.97 (b(z, s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[5013, 15106])).
% 3.75/3.97 tff(15108,plain,
% 3.75/3.97 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[11491, 213, 15107, 14733, 15003])).
% 3.75/3.97 tff(15109,plain,
% 3.75/3.97 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[233, 15108])).
% 3.75/3.97 tff(15110,plain,
% 3.75/3.97 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[1749, 15109, 14027, 350])).
% 3.75/3.97 tff(15111,plain,
% 3.75/3.97 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[12849, 15110, 3771, 15107, 15105])).
% 3.75/3.97 tff(15112,plain,
% 3.75/3.97 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[484, 15111])).
% 3.75/3.97 tff(15113,plain,
% 3.75/3.97 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[11416, 15109, 2296])).
% 3.75/3.97 tff(15114,plain,
% 3.75/3.97 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[596, 15113])).
% 3.75/3.97 tff(15115,plain,
% 3.75/3.97 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[1236, 15114, 15003, 14733, 15112])).
% 3.75/3.97 tff(15116,plain,
% 3.75/3.97 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[725, 15112, 14733, 15003])).
% 3.75/3.97 tff(15117,plain,
% 3.75/3.97 ($false),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[316, 15116, 15115])).
% 3.75/3.97 tff(15118,plain,((~r(s(s(s(z))), z)) | (~b(s(z), z)) | (~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.97 tff(15119,plain,
% 3.75/3.97 (~r(s(s(s(z))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15118, 350, 3771, 16])).
% 3.75/3.97 tff(15120,plain,
% 3.75/3.97 (b(s(s(s(z))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[2303, 15119])).
% 3.75/3.97 tff(15121,plain,
% 3.75/3.97 (~b(z, s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[14465, 213, 14733, 15003, 202])).
% 3.75/3.97 tff(15122,plain,
% 3.75/3.97 (r(z, s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[5013, 15121])).
% 3.75/3.97 tff(15123,plain,
% 3.75/3.97 (~r(z, s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[7283, 15122, 14615, 16, 350])).
% 3.75/3.97 tff(15124,plain,
% 3.75/3.97 (b(z, s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[581, 15123])).
% 3.75/3.97 tff(15125,plain,
% 3.75/3.97 ($false),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[13632, 213, 14776, 15124, 1016, 202])).
% 3.75/3.97 tff(15126,plain,((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(z)))), s(z))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.97 tff(15127,plain,
% 3.75/3.97 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15126, 15120, 16, 350])).
% 3.75/3.97 tff(15128,plain,
% 3.75/3.97 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[233, 15127])).
% 3.75/3.97 tff(15129,plain,
% 3.75/3.97 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[1749, 15128, 14027, 350])).
% 3.75/3.97 tff(15130,plain,
% 3.75/3.97 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[3417, 15129])).
% 3.75/3.97 tff(15131,plain,
% 3.75/3.97 (~r(z, s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[7566, 15130, 15003, 350, 15128, 16])).
% 3.75/3.97 tff(15132,plain,
% 3.75/3.97 (b(z, s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[5013, 15131])).
% 3.75/3.97 tff(15133,plain,
% 3.75/3.97 (~b(s(z), s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[3405, 15130, 14733, 15003])).
% 3.75/3.97 tff(15134,plain,
% 3.75/3.97 (r(s(z), s(s(s(s(z)))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[796, 15133])).
% 3.75/3.97 tff(15135,plain,
% 3.75/3.97 (~b(s(s(s(s(z)))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[11135, 15134, 15120, 3771, 15132])).
% 3.75/3.97 tff(15136,plain,
% 3.75/3.97 (r(s(s(s(s(z)))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[170, 15135])).
% 3.75/3.97 tff(15137,plain,
% 3.75/3.97 (~r(z, s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[8215, 15130, 14615, 350, 15128])).
% 3.75/3.97 tff(15138,plain,
% 3.75/3.97 (b(z, s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[581, 15137])).
% 3.75/3.97 tff(15139,plain,
% 3.75/3.97 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[9099, 15132, 15120, 15138])).
% 3.75/3.97 tff(15140,plain,
% 3.75/3.97 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[2750, 15139])).
% 3.75/3.97 tff(15141,plain,
% 3.75/3.97 ($false),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[13810, 15140, 15136, 14615, 16, 350])).
% 3.75/3.97 tff(15142,plain,((~r(z, s(z))) | (~r(s(s(s(s(z)))), s(z))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.97 tff(15143,plain,
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% 3.75/3.97 inference(unit_resolution,[status(thm)],[15142, 3771, 16])).
% 3.75/3.97 tff(15144,plain,
% 3.75/3.97 (b(z, s(z))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[370, 15143])).
% 3.75/3.97 tff(15145,plain,
% 3.75/3.97 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[14989, 15144, 14615, 14027, 3771])).
% 3.75/3.97 tff(15146,plain,
% 3.75/3.97 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[1042, 15145])).
% 3.75/3.97 tff(15147,plain,
% 3.75/3.97 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[11491, 213, 5015, 14733, 15003])).
% 3.75/3.97 tff(15148,plain,
% 3.75/3.97 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[233, 15147])).
% 3.75/3.97 tff(15149,plain,
% 3.75/3.97 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[4214, 12291, 14733, 15146])).
% 3.75/3.97 tff(15150,plain,
% 3.75/3.97 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[2750, 15149])).
% 3.75/3.97 tff(15151,plain,
% 3.75/3.97 (~r(s(s(s(s(z)))), z)),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[7701, 15150, 16, 14615, 2296])).
% 3.75/3.97 tff(15152,plain,
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% 3.75/3.97 inference(rewrite,[status(thm)],[])).
% 3.75/3.97 tff(15313,plain,
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% 3.75/3.97 inference(monotonicity,[status(thm)],[15312])).
% 3.75/3.97 tff(15314,plain,
% 3.75/3.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.97 inference(transitivity,[status(thm)],[15313, 1355])).
% 3.75/3.97 tff(15315,plain,
% 3.75/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.97 inference(quant_inst,[status(thm)],[])).
% 3.75/3.97 tff(15316,plain,
% 3.75/3.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.75/3.97 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 3.75/3.97 tff(15317,plain,
% 3.75/3.97 ($false),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15316, 213, 15276, 15311, 15309, 15307])).
% 3.75/3.97 tff(15318,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.97 tff(15319,plain,
% 3.75/3.97 (~b(s(z), s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15318, 782, 5, 3, 6])).
% 3.75/3.97 tff(15320,plain,
% 3.75/3.97 (r(s(z), s(s(s(z))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[564, 15319])).
% 3.75/3.97 tff(15321,plain,
% 3.75/3.97 ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z))))))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[2733, 15259])).
% 3.75/3.97 tff(15322,plain,
% 3.75/3.97 (~b(s(s(s(z))), s(z))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[15321, 9222, 782])).
% 3.75/3.97 tff(15323,plain,
% 3.75/3.97 (r(s(s(s(z))), s(z))),
% 3.75/3.97 inference(unit_resolution,[status(thm)],[535, 15322])).
% 3.75/3.97 tff(15324,plain,
% 3.75/3.97 (~r(s(s(s(z))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[12351, 76, 350, 11, 10954, 15323])).
% 3.75/3.98 tff(15325,plain,
% 3.75/3.98 (b(s(s(s(z))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[2303, 15324])).
% 3.75/3.98 tff(15326,plain,
% 3.75/3.98 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[917, 350, 2, 706])).
% 3.75/3.98 tff(15327,plain,
% 3.75/3.98 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[627, 15326])).
% 3.75/3.98 tff(15328,plain,
% 3.75/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.75/3.98 inference(rewrite,[status(thm)],[])).
% 3.75/3.98 tff(15329,plain,
% 3.75/3.98 (((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.75/3.98 inference(rewrite,[status(thm)],[])).
% 3.75/3.98 tff(15330,plain,
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% 3.75/3.98 inference(monotonicity,[status(thm)],[15329])).
% 3.75/3.98 tff(15331,plain,
% 3.75/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.75/3.98 inference(transitivity,[status(thm)],[15330, 15328])).
% 3.75/3.98 tff(15332,plain,
% 3.75/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.75/3.98 inference(quant_inst,[status(thm)],[])).
% 3.75/3.98 tff(15333,plain,
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% 3.75/3.98 inference(modus_ponens,[status(thm)],[15332, 15331])).
% 3.75/3.98 tff(15334,plain,
% 3.75/3.98 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.75/3.98 tff(15335,plain,
% 3.75/3.98 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[653, 15334])).
% 3.75/3.98 tff(15336,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[2880, 350, 1027, 12])).
% 3.75/3.98 tff(15337,plain,
% 3.75/3.98 (b(z, s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[581, 15336])).
% 3.75/3.98 tff(15338,plain,
% 3.75/3.98 (((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.75/3.98 inference(rewrite,[status(thm)],[])).
% 3.75/3.98 tff(15339,plain,
% 3.75/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.75/3.98 inference(monotonicity,[status(thm)],[15338])).
% 3.75/3.98 tff(15340,plain,
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% 3.75/3.98 inference(transitivity,[status(thm)],[15339, 8164])).
% 3.75/3.98 tff(15341,plain,
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% 3.75/3.98 inference(quant_inst,[status(thm)],[])).
% 3.75/3.98 tff(15342,plain,
% 3.75/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.75/3.98 inference(modus_ponens,[status(thm)],[15341, 15340])).
% 3.75/3.98 tff(15343,plain,
% 3.75/3.98 ($false),
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% 3.75/3.98 tff(15344,plain,((~r(z, s(z))) | (~b(s(s(s(z))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.98 tff(15345,plain,
% 3.75/3.98 (~r(s(z), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15344, 15325, 350, 706, 1027, 15323])).
% 3.75/3.98 tff(15346,plain,
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% 3.75/3.98 tff(15347,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[15283, 15346, 782])).
% 3.75/3.98 tff(15348,plain,
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% 3.75/3.98 tff(15349,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[2894, 15348, 5, 6])).
% 3.75/3.98 tff(15350,plain,
% 3.75/3.98 (b(z, s(s(s(s(s(s(s(z))))))))),
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% 3.75/3.98 tff(15351,plain,
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% 3.75/3.98 tff(15352,plain,
% 3.75/3.98 (b(z, s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[581, 15351])).
% 3.75/3.98 tff(15353,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[13044, 15348, 5])).
% 3.75/3.98 tff(15354,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[170, 15353])).
% 3.75/3.98 tff(15355,plain,
% 3.75/3.98 (~b(s(s(s(s(z)))), s(s(s(z))))),
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% 3.75/3.98 tff(15356,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[2750, 15355])).
% 3.75/3.98 tff(15357,plain,
% 3.75/3.98 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 3.75/3.98 tff(15358,plain,
% 3.75/3.98 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[1042, 15357])).
% 3.75/3.98 tff(15359,plain,
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% 3.75/3.98 tff(15360,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.98 tff(15361,plain,
% 3.75/3.98 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 3.75/3.98 tff(15362,plain,
% 3.75/3.98 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 3.75/3.98 tff(15363,plain,
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% 3.75/3.98 tff(15364,plain,
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% 3.75/3.98 tff(15365,plain,
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% 3.75/3.98 tff(15366,plain,
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% 3.75/3.98 tff(15367,plain,
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% 3.75/3.98 tff(15368,plain,
% 3.75/3.98 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 3.75/3.98 tff(15369,plain,
% 3.75/3.98 ($false),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[13499, 15368, 15366, 5, 10])).
% 3.75/3.98 tff(15370,plain,((~b(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.98 tff(15371,plain,
% 3.75/3.98 (~b(z, s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15370, 1016, 10, 506, 202, 5])).
% 3.75/3.98 tff(15372,plain,
% 3.75/3.98 (r(z, s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[581, 15371])).
% 3.75/3.98 tff(15373,plain,
% 3.75/3.98 (~r(s(s(s(z))), s(z))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[2880, 15372, 350, 1027])).
% 3.75/3.98 tff(15374,plain,
% 3.75/3.98 (b(s(s(s(z))), s(z))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[535, 15373])).
% 3.75/3.98 tff(15375,plain,
% 3.75/3.98 ((~b(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[3878, 15259])).
% 3.75/3.98 tff(15376,plain,
% 3.75/3.98 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15375, 15374, 782])).
% 3.75/3.98 tff(15377,plain,
% 3.75/3.98 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[2750, 15376])).
% 3.75/3.98 tff(15378,plain,
% 3.75/3.98 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[13499, 15377, 5, 10])).
% 3.75/3.98 tff(15379,plain,
% 3.75/3.98 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[1042, 15378])).
% 3.75/3.98 tff(15380,plain,
% 3.75/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.75/3.98 inference(rewrite,[status(thm)],[])).
% 3.75/3.98 tff(15381,plain,
% 3.75/3.98 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.75/3.98 inference(rewrite,[status(thm)],[])).
% 3.75/3.98 tff(15382,plain,
% 3.75/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))))),
% 3.75/3.98 inference(monotonicity,[status(thm)],[15381])).
% 3.75/3.98 tff(15383,plain,
% 3.75/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.75/3.98 inference(transitivity,[status(thm)],[15382, 15380])).
% 3.75/3.98 tff(15384,plain,
% 3.75/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)))),
% 3.75/3.98 inference(quant_inst,[status(thm)],[])).
% 3.75/3.98 tff(15385,plain,
% 3.75/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))),
% 3.75/3.98 inference(modus_ponens,[status(thm)],[15384, 15383])).
% 3.75/3.98 tff(15386,plain,
% 3.75/3.98 ($false),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15385, 213, 506, 15379, 1016, 202])).
% 3.75/3.98 tff(15387,plain,((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.98 tff(15388,plain,
% 3.75/3.98 (~b(s(s(s(z))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15387, 15364, 506, 5, 10, 782, 350, 1027])).
% 3.75/3.98 tff(15389,plain,
% 3.75/3.98 (r(s(s(s(z))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[2303, 15388])).
% 3.75/3.98 tff(15390,plain,
% 3.75/3.98 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[12219, 15389, 5, 10])).
% 3.75/3.98 tff(15391,plain,
% 3.75/3.98 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[1042, 15390])).
% 3.75/3.98 tff(15392,plain,
% 3.75/3.98 (~b(z, s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[2293, 15391, 506, 15364])).
% 3.75/3.98 tff(15393,plain,
% 3.75/3.98 (r(z, s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[581, 15392])).
% 3.75/3.98 tff(15394,plain,
% 3.75/3.98 (~r(s(s(s(z))), s(z))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[2880, 15393, 350, 1027])).
% 3.75/3.98 tff(15395,plain,
% 3.75/3.98 (b(s(s(s(z))), s(z))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[535, 15394])).
% 3.75/3.98 tff(15396,plain,
% 3.75/3.98 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15321, 15395, 782])).
% 3.75/3.98 tff(15397,plain,
% 3.75/3.98 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[1871, 15396])).
% 3.75/3.98 tff(15398,plain,
% 3.75/3.98 ($false),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[4881, 76, 350, 10, 15393, 1027, 15397])).
% 3.75/3.98 tff(15399,plain,((~r(z, s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.98 tff(15400,plain,
% 3.75/3.98 (~r(z, s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15399, 15274, 15320, 782, 15362, 5, 6])).
% 3.75/3.98 tff(15401,plain,
% 3.75/3.98 (b(z, s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[5013, 15400])).
% 3.75/3.98 tff(15402,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[15283, 15401, 782])).
% 3.75/3.98 tff(15403,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[3759, 15402])).
% 3.75/3.98 tff(15404,plain,
% 3.75/3.98 (~r(s(s(s(z))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[13356, 15403, 3, 15274, 15362])).
% 3.75/3.98 tff(15405,plain,
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% 3.75/3.98 inference(unit_resolution,[status(thm)],[2303, 15404])).
% 3.75/3.98 tff(15406,plain,
% 3.75/3.98 (~r(s(s(s(z))), s(z))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15344, 15405, 15274, 15266, 15320, 15403])).
% 3.75/3.98 tff(15407,plain,
% 3.75/3.98 (b(s(s(s(z))), s(z))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[535, 15406])).
% 3.75/3.98 tff(15408,plain,
% 3.75/3.98 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15321, 15407, 782])).
% 3.75/3.98 tff(15409,plain,
% 3.75/3.98 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[1871, 15408])).
% 3.75/3.98 tff(15410,plain,
% 3.75/3.98 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[917, 15403, 15274, 15266])).
% 3.75/3.98 tff(15411,plain,
% 3.75/3.98 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[627, 15410])).
% 3.75/3.98 tff(15412,plain,
% 3.75/3.98 ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[7442, 15259])).
% 3.75/3.98 tff(15413,plain,
% 3.75/3.98 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15412, 15407, 5, 3])).
% 3.75/3.98 tff(15414,plain,
% 3.75/3.98 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[3417, 15413])).
% 3.75/3.98 tff(15415,plain,
% 3.75/3.98 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[11098, 15414, 15403])).
% 3.75/3.98 tff(15416,plain,
% 3.75/3.98 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[233, 15415])).
% 3.75/3.98 tff(15417,plain,
% 3.75/3.98 (~r(z, s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[11111, 15414, 15320, 15403])).
% 3.75/3.98 tff(15418,plain,
% 3.75/3.98 (b(z, s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[581, 15417])).
% 3.75/3.98 tff(15419,plain,
% 3.75/3.98 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[2293, 15418, 15362, 15416])).
% 3.75/3.98 tff(15420,plain,
% 3.75/3.98 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[1042, 15419])).
% 3.75/3.98 tff(15421,plain,
% 3.75/3.98 (~r(s(s(s(s(z)))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[13379, 15420, 5, 15409])).
% 3.75/3.98 tff(15422,plain,
% 3.75/3.98 (b(s(s(s(s(z)))), z)),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[170, 15421])).
% 3.75/3.98 tff(15423,plain,
% 3.75/3.98 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[10115, 213, 15401, 15422, 15411])).
% 3.75/3.98 tff(15424,plain,
% 3.75/3.98 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[316, 15423])).
% 3.75/3.98 tff(15425,plain,
% 3.75/3.98 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[7406, 76, 6, 5, 15424])).
% 3.75/3.98 tff(15426,plain,
% 3.75/3.98 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[484, 15425])).
% 3.75/3.98 tff(15427,plain,
% 3.75/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.75/3.98 inference(rewrite,[status(thm)],[])).
% 3.75/3.98 tff(15428,plain,
% 3.75/3.98 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.75/3.98 inference(rewrite,[status(thm)],[])).
% 3.75/3.98 tff(15429,plain,
% 3.75/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.75/3.98 inference(monotonicity,[status(thm)],[15428])).
% 3.75/3.98 tff(15430,plain,
% 3.75/3.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.75/3.98 inference(transitivity,[status(thm)],[15429, 15427])).
% 3.75/3.98 tff(15431,plain,
% 3.75/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.98 inference(quant_inst,[status(thm)],[])).
% 3.75/3.98 tff(15432,plain,
% 3.75/3.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.75/3.98 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 3.75/3.98 tff(15433,plain,
% 3.75/3.98 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15432, 213, 15362, 15418, 15426, 15411, 15405])).
% 3.75/3.98 tff(15434,plain,
% 3.75/3.98 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[4243, 15433])).
% 3.75/3.98 tff(15435,plain,
% 3.75/3.98 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[13162, 213, 15401, 15422, 15411])).
% 3.75/3.98 tff(15436,plain,
% 3.75/3.98 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[338, 15435])).
% 3.75/3.98 tff(15437,plain,
% 3.75/3.98 (((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.98 inference(rewrite,[status(thm)],[])).
% 3.75/3.98 tff(15438,plain,
% 3.75/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.75/3.98 inference(monotonicity,[status(thm)],[15437])).
% 3.75/3.98 tff(15439,plain,
% 3.75/3.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, 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(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/3.98 inference(transitivity,[status(thm)],[15438, 1220])).
% 3.75/3.98 tff(15440,plain,
% 3.75/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.98 inference(quant_inst,[status(thm)],[])).
% 3.75/3.98 tff(15441,plain,
% 3.75/3.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.75/3.98 inference(modus_ponens,[status(thm)],[15440, 15439])).
% 3.75/3.98 tff(15442,plain,
% 3.75/3.98 ($false),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15441, 76, 15436, 15424, 15434, 15409])).
% 3.75/3.98 tff(15443,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.98 tff(15444,plain,
% 3.75/3.98 (~b(s(z), s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[15443, 3, 5, 6])).
% 3.75/3.98 tff(15445,plain,
% 3.75/3.98 (r(s(z), s(s(s(s(z)))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[796, 15444])).
% 3.75/3.98 tff(15446,plain,
% 3.75/3.98 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.98 inference(unit_resolution,[status(thm)],[199, 15445, 5, 6])).
% 3.75/3.98 tff(15447,plain,
% 3.75/3.98 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[3417, 15446])).
% 3.75/3.99 tff(15448,plain,
% 3.75/3.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[8470, 281, 3, 12123])).
% 3.75/3.99 tff(15449,plain,
% 3.75/3.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[484, 15448])).
% 3.75/3.99 tff(15450,plain,
% 3.75/3.99 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[8460, 281, 3, 3412])).
% 3.75/3.99 tff(15451,plain,
% 3.75/3.99 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[436, 15450])).
% 3.75/3.99 tff(15452,plain,
% 3.75/3.99 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2251, 15451, 6, 15449])).
% 3.75/3.99 tff(15453,plain,
% 3.75/3.99 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[338, 15452])).
% 3.75/3.99 tff(15454,plain,
% 3.75/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.99 inference(rewrite,[status(thm)],[])).
% 3.75/3.99 tff(15455,plain,
% 3.75/3.99 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(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(s(z))))))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.99 inference(rewrite,[status(thm)],[])).
% 3.75/3.99 tff(15456,plain,
% 3.75/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(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(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.75/3.99 inference(monotonicity,[status(thm)],[15455])).
% 3.75/3.99 tff(15457,plain,
% 3.75/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(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(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/3.99 inference(transitivity,[status(thm)],[15456, 15454])).
% 3.75/3.99 tff(15458,plain,
% 3.75/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(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(s(z))))))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.75/3.99 inference(quant_inst,[status(thm)],[])).
% 3.75/3.99 tff(15459,plain,
% 3.75/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.75/3.99 inference(modus_ponens,[status(thm)],[15458, 15457])).
% 3.75/3.99 tff(15460,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15459, 213, 15259, 281, 3, 15453, 12123])).
% 3.75/3.99 tff(15461,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | r(s(z), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15462,plain,
% 3.75/3.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15461, 3, 6, 15446])).
% 3.75/3.99 tff(15463,plain,
% 3.75/3.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[610, 15462])).
% 3.75/3.99 tff(15464,plain,
% 3.75/3.99 (~b(z, s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[12977, 15364, 3, 15447])).
% 3.75/3.99 tff(15465,plain,
% 3.75/3.99 (r(z, s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[370, 15464])).
% 3.75/3.99 tff(15466,plain,
% 3.75/3.99 (~b(s(z), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[9384, 15364, 3, 15447])).
% 3.75/3.99 tff(15467,plain,
% 3.75/3.99 (r(s(z), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[3759, 15466])).
% 3.75/3.99 tff(15468,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[7516, 15467, 15465, 5, 15445, 6, 15447, 15463, 10])).
% 3.75/3.99 tff(15469,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15470,plain,
% 3.75/3.99 (~r(z, s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15469, 3, 6, 5])).
% 3.75/3.99 tff(15471,plain,
% 3.75/3.99 (b(z, s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[5013, 15470])).
% 3.75/3.99 tff(15472,plain,
% 3.75/3.99 ((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(s(z))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[5501, 15259])).
% 3.75/3.99 tff(15473,plain,
% 3.75/3.99 (~b(s(s(s(s(z)))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15472, 3771, 5015])).
% 3.75/3.99 tff(15474,plain,
% 3.75/3.99 (r(s(s(s(s(z)))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[170, 15473])).
% 3.75/3.99 tff(15475,plain,
% 3.75/3.99 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[9384, 3771, 3, 4])).
% 3.75/3.99 tff(15476,plain,
% 3.75/3.99 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[233, 15475])).
% 3.75/3.99 tff(15477,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[11631, 15476, 15474, 6])).
% 3.75/3.99 tff(15478,plain,((~b(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15479,plain,
% 3.75/3.99 (~b(s(z), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15478, 15471, 3, 15447, 6])).
% 3.75/3.99 tff(15480,plain,
% 3.75/3.99 (r(s(z), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[3759, 15479])).
% 3.75/3.99 tff(15481,plain,
% 3.75/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.75/3.99 inference(rewrite,[status(thm)],[])).
% 3.75/3.99 tff(15482,plain,
% 3.75/3.99 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.75/3.99 inference(rewrite,[status(thm)],[])).
% 3.75/3.99 tff(15483,plain,
% 3.75/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))))),
% 3.75/3.99 inference(monotonicity,[status(thm)],[15482])).
% 3.75/3.99 tff(15484,plain,
% 3.75/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.75/3.99 inference(transitivity,[status(thm)],[15483, 15481])).
% 3.75/3.99 tff(15485,plain,
% 3.75/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))))),
% 3.75/3.99 inference(quant_inst,[status(thm)],[])).
% 3.75/3.99 tff(15486,plain,
% 3.75/3.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z)))),
% 3.75/3.99 inference(modus_ponens,[status(thm)],[15485, 15484])).
% 3.75/3.99 tff(15487,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15486, 213, 1, 5015, 15259, 3, 4])).
% 3.75/3.99 tff(15488,plain,((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15489,plain,
% 3.75/3.99 (~b(z, s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15488, 15471, 3, 15447])).
% 3.75/3.99 tff(15490,plain,
% 3.75/3.99 (r(z, s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[370, 15489])).
% 3.75/3.99 tff(15491,plain,
% 3.75/3.99 (~b(s(s(s(z))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15412, 15447, 5, 3])).
% 3.75/3.99 tff(15492,plain,
% 3.75/3.99 (r(s(s(s(z))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[535, 15491])).
% 3.75/3.99 tff(15493,plain,
% 3.75/3.99 (~b(z, s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[12977, 11894, 3, 4])).
% 3.75/3.99 tff(15494,plain,
% 3.75/3.99 (r(z, s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[370, 15493])).
% 3.75/3.99 tff(15495,plain,
% 3.75/3.99 (~b(s(z), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[9384, 11894, 3, 4])).
% 3.75/3.99 tff(15496,plain,
% 3.75/3.99 (r(s(z), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[3759, 15495])).
% 3.75/3.99 tff(15497,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2775, 15496, 15494, 2296, 12])).
% 3.75/3.99 tff(15498,plain,((~r(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15499,plain,
% 3.75/3.99 (~r(s(s(s(z))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15498, 11, 3, 15447, 15492])).
% 3.75/3.99 tff(15500,plain,
% 3.75/3.99 (b(s(s(s(z))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2303, 15499])).
% 3.75/3.99 tff(15501,plain,
% 3.75/3.99 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[5644, 15500, 5015, 9222])).
% 3.75/3.99 tff(15502,plain,
% 3.75/3.99 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2750, 15501])).
% 3.75/3.99 tff(15503,plain,
% 3.75/3.99 (~b(s(s(s(s(z)))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[12379, 15500, 5015, 9222])).
% 3.75/3.99 tff(15504,plain,
% 3.75/3.99 (r(s(s(s(s(z)))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[170, 15503])).
% 3.75/3.99 tff(15505,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[11773, 76, 15504, 11, 6, 10954, 15502])).
% 3.75/3.99 tff(15506,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15507,plain,
% 3.75/3.99 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15506, 15471, 6, 3, 5])).
% 3.75/3.99 tff(15508,plain,
% 3.75/3.99 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[596, 15507])).
% 3.75/3.99 tff(15509,plain,
% 3.75/3.99 (~b(s(z), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[10679, 15508, 3, 15447])).
% 3.75/3.99 tff(15510,plain,
% 3.75/3.99 (r(s(z), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[564, 15509])).
% 3.75/3.99 tff(15511,plain,
% 3.75/3.99 (~r(s(s(s(z))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2775, 15490, 15480, 15492])).
% 3.75/3.99 tff(15512,plain,
% 3.75/3.99 (b(s(s(s(z))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2303, 15511])).
% 3.75/3.99 tff(15513,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15344, 15512, 15510, 15492, 15463, 15490, 15480])).
% 3.75/3.99 tff(15514,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15515,plain,
% 3.75/3.99 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15514, 6, 5])).
% 3.75/3.99 tff(15516,plain,
% 3.75/3.99 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[450, 15515])).
% 3.75/3.99 tff(15517,plain,
% 3.75/3.99 ((~b(s(z), z)) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[4109, 15259])).
% 3.75/3.99 tff(15518,plain,
% 3.75/3.99 (~b(z, s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15517, 3771, 13046])).
% 3.75/3.99 tff(15519,plain,
% 3.75/3.99 (r(z, s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[370, 15518])).
% 3.75/3.99 tff(15520,plain,
% 3.75/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.99 inference(rewrite,[status(thm)],[])).
% 3.75/3.99 tff(15521,plain,
% 3.75/3.99 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.99 inference(rewrite,[status(thm)],[])).
% 3.75/3.99 tff(15522,plain,
% 3.75/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.75/3.99 inference(monotonicity,[status(thm)],[15521])).
% 3.75/3.99 tff(15523,plain,
% 3.75/3.99 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/3.99 inference(transitivity,[status(thm)],[15522, 15520])).
% 3.75/3.99 tff(15524,plain,
% 3.75/3.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.75/3.99 inference(quant_inst,[status(thm)],[])).
% 3.75/3.99 tff(15525,plain,
% 3.75/3.99 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.75/3.99 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 3.75/3.99 tff(15526,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15525, 76, 350, 117, 15, 5, 10954])).
% 3.75/3.99 tff(15527,plain,((~r(s(z), s(s(s(s(z)))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15528,plain,
% 3.75/3.99 (~r(s(z), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15527, 15519, 15516, 5])).
% 3.75/3.99 tff(15529,plain,
% 3.75/3.99 (b(s(z), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[796, 15528])).
% 3.75/3.99 tff(15530,plain,
% 3.75/3.99 (~r(s(z), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15527, 350, 15516, 5])).
% 3.75/3.99 tff(15531,plain,
% 3.75/3.99 (b(s(z), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[796, 15530])).
% 3.75/3.99 tff(15532,plain,
% 3.75/3.99 (~b(s(z), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15261, 9222, 15531])).
% 3.75/3.99 tff(15533,plain,
% 3.75/3.99 (r(s(z), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[564, 15532])).
% 3.75/3.99 tff(15534,plain,
% 3.75/3.99 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15360, 15533, 5, 6, 350, 15531, 11])).
% 3.75/3.99 tff(15535,plain,
% 3.75/3.99 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[610, 15534])).
% 3.75/3.99 tff(15536,plain,
% 3.75/3.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[1265, 213, 15531, 15259, 15535])).
% 3.75/3.99 tff(15537,plain,
% 3.75/3.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[316, 15536])).
% 3.75/3.99 tff(15538,plain,
% 3.75/3.99 (~r(s(s(s(z))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[682, 9, 15, 11])).
% 3.75/3.99 tff(15539,plain,
% 3.75/3.99 ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[4719, 15259])).
% 3.75/3.99 tff(15540,plain,
% 3.75/3.99 (~b(s(s(s(z))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15539, 9, 5, 11, 2350])).
% 3.75/3.99 tff(15541,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[535, 15540, 15538])).
% 3.75/3.99 tff(15542,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15543,plain,
% 3.75/3.99 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15542, 9222, 5, 11, 15516])).
% 3.75/3.99 tff(15544,plain,
% 3.75/3.99 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[3417, 15543])).
% 3.75/3.99 tff(15545,plain,
% 3.75/3.99 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[1283, 213, 15531, 15259, 15535])).
% 3.75/3.99 tff(15546,plain,
% 3.75/3.99 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[338, 15545])).
% 3.75/3.99 tff(15547,plain,
% 3.75/3.99 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[965, 15546, 5, 15537])).
% 3.75/3.99 tff(15548,plain,
% 3.75/3.99 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[436, 15547])).
% 3.75/3.99 tff(15549,plain,
% 3.75/3.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[14961, 15548, 15544, 15535])).
% 3.75/3.99 tff(15550,plain,
% 3.75/3.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[484, 15549])).
% 3.75/3.99 tff(15551,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[7406, 76, 6, 5, 15550, 15537])).
% 3.75/3.99 tff(15552,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15553,plain,
% 3.75/3.99 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15552, 15519, 5, 6])).
% 3.75/3.99 tff(15554,plain,
% 3.75/3.99 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[596, 15553])).
% 3.75/3.99 tff(15555,plain,
% 3.75/3.99 (~r(s(z), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15399, 15554, 10, 15519, 15529, 5, 6])).
% 3.75/3.99 tff(15556,plain,
% 3.75/3.99 (b(s(z), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[564, 15555])).
% 3.75/3.99 tff(15557,plain,
% 3.75/3.99 (~b(z, s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[6460, 856, 3771, 1016])).
% 3.75/3.99 tff(15558,plain,
% 3.75/3.99 (r(z, s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[581, 15557])).
% 3.75/3.99 tff(15559,plain,
% 3.75/3.99 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15289, 1556, 5, 691])).
% 3.75/3.99 tff(15560,plain,
% 3.75/3.99 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[1042, 15559])).
% 3.75/3.99 tff(15561,plain,
% 3.75/3.99 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2664, 1556, 5, 6])).
% 3.75/3.99 tff(15562,plain,
% 3.75/3.99 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[596, 15561])).
% 3.75/3.99 tff(15563,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15385, 213, 15562, 15560, 1016, 202])).
% 3.75/3.99 tff(15564,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15565,plain,
% 3.75/3.99 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15564, 15558, 15364, 5, 1016, 6])).
% 3.75/3.99 tff(15566,plain,
% 3.75/3.99 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[1871, 15565])).
% 3.75/3.99 tff(15567,plain,
% 3.75/3.99 (~b(s(z), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15261, 15566, 856])).
% 3.75/3.99 tff(15568,plain,
% 3.75/3.99 (r(s(z), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[796, 15567])).
% 3.75/3.99 tff(15569,plain,
% 3.75/3.99 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[199, 15568, 5, 6])).
% 3.75/3.99 tff(15570,plain,
% 3.75/3.99 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[3417, 15569])).
% 3.75/3.99 tff(15571,plain,
% 3.75/3.99 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[8409, 15568, 15558, 10, 15519])).
% 3.75/3.99 tff(15572,plain,
% 3.75/3.99 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2750, 15571])).
% 3.75/3.99 tff(15573,plain,
% 3.75/3.99 ((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[3840, 15259])).
% 3.75/3.99 tff(15574,plain,
% 3.75/3.99 (~b(s(s(s(z))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15573, 15572, 856])).
% 3.75/3.99 tff(15575,plain,
% 3.75/3.99 (r(s(s(s(z))), s(z))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[535, 15574])).
% 3.75/3.99 tff(15576,plain,
% 3.75/3.99 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[4953, 15575, 5, 15516, 15568])).
% 3.75/3.99 tff(15577,plain,
% 3.75/3.99 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[1042, 15576])).
% 3.75/3.99 tff(15578,plain,
% 3.75/3.99 ((~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z))))) | (~r(z, s(z)))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[10254, 15259])).
% 3.75/3.99 tff(15579,plain,
% 3.75/3.99 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15578, 15575, 15558, 6, 15572, 15568, 15519])).
% 3.75/3.99 tff(15580,plain,
% 3.75/3.99 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[596, 15579])).
% 3.75/3.99 tff(15581,plain,
% 3.75/3.99 ($false),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[7319, 15580, 15577, 15364, 15570, 15519])).
% 3.75/3.99 tff(15582,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), z)) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/3.99 tff(15583,plain,
% 3.75/3.99 (~b(s(s(s(z))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[15582, 15556, 5, 10, 6, 3771])).
% 3.75/3.99 tff(15584,plain,
% 3.75/3.99 (r(s(s(s(z))), z)),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2303, 15583])).
% 3.75/3.99 tff(15585,plain,
% 3.75/3.99 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[12219, 15584, 5, 10])).
% 3.75/3.99 tff(15586,plain,
% 3.75/3.99 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[1042, 15585])).
% 3.75/3.99 tff(15587,plain,
% 3.75/3.99 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[7319, 15586, 15364, 15554, 15519])).
% 3.75/3.99 tff(15588,plain,
% 3.75/3.99 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[3417, 15587])).
% 3.75/3.99 tff(15589,plain,
% 3.75/3.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[14247, 281, 856, 506, 1507])).
% 3.75/3.99 tff(15590,plain,
% 3.75/3.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[653, 15589])).
% 3.75/3.99 tff(15591,plain,
% 3.75/3.99 (~b(z, s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[2293, 1507, 15364, 506])).
% 3.75/3.99 tff(15592,plain,
% 3.75/3.99 (r(z, s(s(s(z))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[581, 15591])).
% 3.75/3.99 tff(15593,plain,
% 3.75/3.99 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[1283, 213, 782, 15259, 281])).
% 3.75/3.99 tff(15594,plain,
% 3.75/3.99 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[338, 15593])).
% 3.75/3.99 tff(15595,plain,
% 3.75/3.99 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[699, 15594, 15592, 10, 15590])).
% 3.75/3.99 tff(15596,plain,
% 3.75/3.99 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[819, 15595])).
% 3.75/3.99 tff(15597,plain,
% 3.75/3.99 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[1265, 213, 782, 15259, 281])).
% 3.75/3.99 tff(15598,plain,
% 3.75/3.99 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[316, 15597])).
% 3.75/3.99 tff(15599,plain,
% 3.75/3.99 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[965, 15594, 5, 15598])).
% 3.75/3.99 tff(15600,plain,
% 3.75/3.99 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[436, 15599])).
% 3.75/3.99 tff(15601,plain,
% 3.75/3.99 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[7406, 76, 6, 5, 15598])).
% 3.75/3.99 tff(15602,plain,
% 3.75/3.99 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/3.99 inference(unit_resolution,[status(thm)],[484, 15601])).
% 3.75/3.99 tff(15603,plain,
% 3.75/3.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/4.00 inference(rewrite,[status(thm)],[])).
% 3.75/4.00 tff(15604,plain,
% 3.75/4.00 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/4.00 inference(rewrite,[status(thm)],[])).
% 3.75/4.00 tff(15605,plain,
% 3.75/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.75/4.00 inference(monotonicity,[status(thm)],[15604])).
% 3.75/4.00 tff(15606,plain,
% 3.75/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/4.00 inference(transitivity,[status(thm)],[15605, 15603])).
% 3.75/4.00 tff(15607,plain,
% 3.75/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.75/4.00 inference(quant_inst,[status(thm)],[])).
% 3.75/4.00 tff(15608,plain,
% 3.75/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.75/4.00 inference(modus_ponens,[status(thm)],[15607, 15606])).
% 3.75/4.00 tff(15609,plain,
% 3.75/4.00 ($false),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15608, 213, 15602, 15600, 15596, 15364])).
% 3.75/4.00 tff(15610,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.00 tff(15611,plain,
% 3.75/4.00 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15610, 15529, 5, 10, 6, 15556, 15554, 15586])).
% 3.75/4.00 tff(15612,plain,
% 3.75/4.00 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[610, 15611])).
% 3.75/4.00 tff(15613,plain,
% 3.75/4.00 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[3226, 15612, 15516, 15588])).
% 3.75/4.00 tff(15614,plain,
% 3.75/4.00 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[484, 15613])).
% 3.75/4.00 tff(15615,plain,
% 3.75/4.00 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[1626, 15614, 15554, 15586])).
% 3.75/4.00 tff(15616,plain,
% 3.75/4.00 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[653, 15615])).
% 3.75/4.00 tff(15617,plain,
% 3.75/4.00 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[4451, 76, 15519, 15612, 15616, 15584])).
% 3.75/4.00 tff(15618,plain,
% 3.75/4.00 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[627, 15617])).
% 3.75/4.00 tff(15619,plain,
% 3.75/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/4.00 inference(rewrite,[status(thm)],[])).
% 3.75/4.00 tff(15620,plain,
% 3.75/4.00 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/4.00 inference(rewrite,[status(thm)],[])).
% 3.75/4.00 tff(15621,plain,
% 3.75/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.75/4.00 inference(monotonicity,[status(thm)],[15620])).
% 3.75/4.00 tff(15622,plain,
% 3.75/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.75/4.00 inference(transitivity,[status(thm)],[15621, 15619])).
% 3.75/4.00 tff(15623,plain,
% 3.75/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.75/4.00 inference(quant_inst,[status(thm)],[])).
% 3.75/4.00 tff(15624,plain,
% 3.75/4.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.75/4.00 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 3.75/4.00 tff(15625,plain,
% 3.75/4.00 ($false),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15624, 213, 15554, 15586, 15614, 15618, 15364])).
% 3.75/4.00 tff(15626,plain,((~b(s(z), z)) | (~r(s(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(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.00 tff(15627,plain,
% 3.75/4.00 (~b(s(z), z)),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15626, 10, 5, 6])).
% 3.75/4.00 tff(15628,plain,
% 3.75/4.00 (r(s(z), z)),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[3759, 15627])).
% 3.75/4.00 tff(15629,plain,
% 3.75/4.00 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/4.00 inference(rewrite,[status(thm)],[])).
% 3.75/4.00 tff(15630,plain,
% 3.75/4.00 (((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))) <=> ((~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/4.00 inference(rewrite,[status(thm)],[])).
% 3.75/4.00 tff(15631,plain,
% 3.75/4.00 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.75/4.00 inference(monotonicity,[status(thm)],[15630])).
% 3.75/4.00 tff(15632,plain,
% 3.75/4.00 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(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(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.75/4.00 inference(transitivity,[status(thm)],[15631, 15629])).
% 3.75/4.00 tff(15633,plain,
% 3.75/4.00 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))))),
% 3.75/4.00 inference(quant_inst,[status(thm)],[])).
% 3.75/4.00 tff(15634,plain,
% 3.75/4.00 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.75/4.00 inference(modus_ponens,[status(thm)],[15633, 15632])).
% 3.75/4.00 tff(15635,plain,
% 3.75/4.00 ($false),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15634, 76, 15628, 10, 15516, 5, 10954])).
% 3.75/4.00 tff(15636,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.00 tff(15637,plain,
% 3.75/4.00 (~r(z, s(s(s(s(z)))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15636, 6, 5])).
% 3.75/4.00 tff(15638,plain,
% 3.75/4.00 (b(z, s(s(s(s(z)))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[5013, 15637])).
% 3.75/4.00 tff(15639,plain,
% 3.75/4.00 (~r(z, s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[14299, 2, 15516])).
% 3.75/4.00 tff(15640,plain,
% 3.75/4.00 (b(z, s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[370, 15639])).
% 3.75/4.00 tff(15641,plain,
% 3.75/4.00 (~b(s(z), s(s(s(s(z)))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15267, 15640, 15638])).
% 3.75/4.00 tff(15642,plain,
% 3.75/4.00 (r(s(z), s(s(s(s(z)))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[796, 15641])).
% 3.75/4.00 tff(15643,plain,
% 3.75/4.00 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[199, 15642, 5, 6])).
% 3.75/4.00 tff(15644,plain,
% 3.75/4.00 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[3417, 15643])).
% 3.75/4.00 tff(15645,plain,
% 3.75/4.00 (~r(z, s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[14299, 2, 15])).
% 3.75/4.00 tff(15646,plain,
% 3.75/4.00 (b(z, s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[370, 15645])).
% 3.75/4.00 tff(15647,plain,
% 3.75/4.00 (~r(s(s(s(z))), s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[10089, 76, 2, 11, 15, 2296])).
% 3.75/4.00 tff(15648,plain,
% 3.75/4.00 (b(s(s(s(z))), s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[535, 15647])).
% 3.75/4.00 tff(15649,plain,
% 3.75/4.00 (~b(z, s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[8680, 15648, 15646, 856])).
% 3.75/4.00 tff(15650,plain,
% 3.75/4.00 (r(z, s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[581, 15649])).
% 3.75/4.00 tff(15651,plain,
% 3.75/4.00 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[10699, 15648, 4, 856])).
% 3.75/4.00 tff(15652,plain,
% 3.75/4.00 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[1042, 15651])).
% 3.75/4.00 tff(15653,plain,
% 3.75/4.00 ($false),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[14048, 15652, 15650, 15, 15646, 856])).
% 3.75/4.00 tff(15654,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.00 tff(15655,plain,
% 3.75/4.00 (~b(s(z), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15654, 2296, 4, 2, 11, 15])).
% 3.75/4.00 tff(15656,plain,
% 3.75/4.00 (r(s(z), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[564, 15655])).
% 3.75/4.00 tff(15657,plain,
% 3.75/4.00 (~r(z, s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[7931, 15656, 2, 2296])).
% 3.75/4.00 tff(15658,plain,
% 3.75/4.00 (b(z, s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[581, 15657])).
% 3.75/4.00 tff(15659,plain,
% 3.75/4.00 (~b(s(z), s(s(s(s(z)))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15267, 15646, 5015])).
% 3.75/4.00 tff(15660,plain,
% 3.75/4.00 (r(s(z), s(s(s(s(z)))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[796, 15659])).
% 3.75/4.00 tff(15661,plain,
% 3.75/4.00 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[9542, 15656, 15660, 2296, 2])).
% 3.75/4.00 tff(15662,plain,
% 3.75/4.00 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[2750, 15661])).
% 3.75/4.00 tff(15663,plain,
% 3.75/4.00 ($false),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[5307, 15662, 15658, 5015, 2350])).
% 3.75/4.00 tff(15664,plain,((~r(s(s(s(z))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.00 tff(15665,plain,
% 3.75/4.00 (~r(s(s(s(z))), z)),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15664, 9222, 15638, 2, 15644, 11, 15516])).
% 3.75/4.00 tff(15666,plain,
% 3.75/4.00 (b(s(s(s(z))), z)),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[2303, 15665])).
% 3.75/4.00 tff(15667,plain,
% 3.75/4.00 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[5644, 15666, 15638, 9222])).
% 3.75/4.00 tff(15668,plain,
% 3.75/4.00 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[2750, 15667])).
% 3.75/4.00 tff(15669,plain,
% 3.75/4.00 (~b(s(s(s(s(z)))), z)),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[12379, 15666, 15638, 9222])).
% 3.75/4.00 tff(15670,plain,
% 3.75/4.00 (r(s(s(s(s(z)))), z)),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[170, 15669])).
% 3.75/4.00 tff(15671,plain,
% 3.75/4.00 ($false),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[11773, 76, 15670, 11, 6, 10954, 15668])).
% 3.75/4.00 tff(15672,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.00 tff(15673,plain,
% 3.75/4.00 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15672, 2, 6, 5])).
% 3.75/4.00 tff(15674,plain,
% 3.75/4.00 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[596, 15673])).
% 3.75/4.00 tff(15675,plain,
% 3.75/4.00 (~b(s(s(s(z))), s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[10153, 856, 5, 117, 4, 506])).
% 3.75/4.00 tff(15676,plain,
% 3.75/4.00 (r(s(s(s(z))), s(z))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[535, 15675])).
% 3.75/4.00 tff(15677,plain,
% 3.75/4.00 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[7305, 856, 4, 506])).
% 3.75/4.00 tff(15678,plain,
% 3.75/4.00 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[1042, 15677])).
% 3.75/4.00 tff(15679,plain,
% 3.75/4.00 ($false),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[4953, 15678, 15676, 5, 15, 117])).
% 3.75/4.00 tff(15680,plain,((~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.00 tff(15681,plain,
% 3.75/4.00 (~b(s(z), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15680, 15642, 15516, 5, 15644, 15674])).
% 3.75/4.00 tff(15682,plain,
% 3.75/4.00 (r(s(z), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[564, 15681])).
% 3.75/4.00 tff(15683,plain,
% 3.75/4.00 (~b(s(z), s(s(s(s(z)))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[15267, 1, 15638])).
% 3.75/4.00 tff(15684,plain,
% 3.75/4.00 (r(s(z), s(s(s(s(z)))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[796, 15683])).
% 3.75/4.00 tff(15685,plain,
% 3.75/4.00 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[199, 15684, 5, 6])).
% 3.75/4.00 tff(15686,plain,
% 3.75/4.00 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[3417, 15685])).
% 3.75/4.00 tff(15687,plain,
% 3.75/4.00 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[9099, 1065, 15638, 1016])).
% 3.75/4.00 tff(15688,plain,
% 3.75/4.00 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[2750, 15687])).
% 3.75/4.00 tff(15689,plain,
% 3.75/4.00 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[9109, 15688, 5, 15516, 15684])).
% 3.75/4.00 tff(15690,plain,
% 3.75/4.00 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[1042, 15689])).
% 3.75/4.00 tff(15691,plain,
% 3.75/4.00 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[2293, 15690, 506, 1065])).
% 3.75/4.00 tff(15692,plain,
% 3.75/4.00 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[233, 15691])).
% 3.75/4.00 tff(15693,plain,
% 3.75/4.00 (~b(s(s(s(z))), s(z))),
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% 3.75/4.00 tff(15694,plain,
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% 3.75/4.00 inference(unit_resolution,[status(thm)],[535, 15693])).
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% 3.75/4.00 inference(unit_resolution,[status(thm)],[8785, 1065, 1, 1016])).
% 3.75/4.00 tff(15696,plain,
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% 3.75/4.00 tff(15697,plain,
% 3.75/4.00 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[10893, 706, 5, 15, 117])).
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% 3.75/4.00 tff(15699,plain,
% 3.75/4.00 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.75/4.00 tff(15700,plain,
% 3.75/4.00 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.75/4.00 inference(unit_resolution,[status(thm)],[653, 15699])).
% 3.75/4.00 tff(15701,plain,
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% 3.75/4.00 tff(15702,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.00 tff(15703,plain,
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% 3.75/4.00 tff(15705,plain,
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% 3.75/4.00 tff(15706,plain,
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% 3.75/4.00 inference(rewrite,[status(thm)],[])).
% 3.75/4.00 tff(15708,plain,
% 3.75/4.00 (((~b(z, s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/4.00 inference(rewrite,[status(thm)],[])).
% 3.75/4.00 tff(15709,plain,
% 3.75/4.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.75/4.01 inference(monotonicity,[status(thm)],[15708])).
% 3.75/4.01 tff(15710,plain,
% 3.75/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.75/4.01 inference(transitivity,[status(thm)],[15709, 15707])).
% 3.75/4.01 tff(15711,plain,
% 3.75/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.75/4.01 inference(quant_inst,[status(thm)],[])).
% 3.75/4.01 tff(15712,plain,
% 3.75/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.75/4.01 inference(modus_ponens,[status(thm)],[15711, 15710])).
% 3.75/4.01 tff(15713,plain,
% 3.75/4.01 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15712, 213, 1, 15638, 191, 281])).
% 3.75/4.01 tff(15714,plain,
% 3.75/4.01 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15713, 2812])).
% 3.75/4.01 tff(15715,plain,
% 3.75/4.01 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[316, 15714])).
% 3.75/4.01 tff(15716,plain,
% 3.75/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/4.01 inference(rewrite,[status(thm)],[])).
% 3.75/4.01 tff(15717,plain,
% 3.75/4.01 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.75/4.01 inference(rewrite,[status(thm)],[])).
% 3.75/4.01 tff(15718,plain,
% 3.75/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.75/4.01 inference(monotonicity,[status(thm)],[15717])).
% 3.75/4.01 tff(15719,plain,
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% 3.75/4.01 inference(transitivity,[status(thm)],[15718, 15716])).
% 3.75/4.01 tff(15720,plain,
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% 3.75/4.01 inference(quant_inst,[status(thm)],[])).
% 3.75/4.01 tff(15721,plain,
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% 3.75/4.01 inference(modus_ponens,[status(thm)],[15720, 15719])).
% 3.75/4.01 tff(15722,plain,
% 3.75/4.01 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15721, 213, 15638, 15259, 191, 281])).
% 3.75/4.01 tff(15723,plain,
% 3.75/4.01 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15722, 2812])).
% 3.75/4.01 tff(15724,plain,
% 3.75/4.01 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[338, 15723])).
% 3.75/4.01 tff(15725,plain,
% 3.75/4.01 ($false),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[7514, 15724, 15715, 5, 6, 15684, 15686])).
% 3.75/4.01 tff(15726,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.01 tff(15727,plain,
% 3.75/4.01 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15726, 15706, 6, 5, 15704, 1])).
% 3.75/4.01 tff(15728,plain,
% 3.75/4.01 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[627, 15727])).
% 3.75/4.01 tff(15729,plain,
% 3.75/4.01 ($false),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15066, 76, 738, 10954, 598, 13])).
% 3.75/4.01 tff(15730,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.01 tff(15731,plain,
% 3.75/4.01 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15730, 15728, 15692])).
% 3.75/4.01 tff(15732,plain,
% 3.75/4.01 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[484, 15731])).
% 3.75/4.01 tff(15733,plain,
% 3.75/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.75/4.01 inference(rewrite,[status(thm)],[])).
% 3.75/4.01 tff(15734,plain,
% 3.75/4.01 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.75/4.01 inference(rewrite,[status(thm)],[])).
% 3.75/4.01 tff(15735,plain,
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% 3.75/4.01 inference(monotonicity,[status(thm)],[15734])).
% 3.75/4.01 tff(15736,plain,
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% 3.75/4.01 inference(transitivity,[status(thm)],[15735, 15733])).
% 3.75/4.01 tff(15737,plain,
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% 3.75/4.01 inference(quant_inst,[status(thm)],[])).
% 3.75/4.01 tff(15738,plain,
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% 3.75/4.01 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 3.75/4.01 tff(15739,plain,
% 3.75/4.01 ($false),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15738, 213, 506, 15704, 15690, 15732, 15686])).
% 3.75/4.01 tff(15740,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.01 tff(15741,plain,
% 3.75/4.01 (~b(z, s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15740, 1016, 6, 5, 15640, 15674])).
% 3.75/4.01 tff(15742,plain,
% 3.75/4.01 (r(z, s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[581, 15741])).
% 3.75/4.01 tff(15743,plain,
% 3.75/4.01 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[7741, 691, 117, 1027, 2])).
% 3.75/4.01 tff(15744,plain,
% 3.75/4.01 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[1871, 15743])).
% 3.75/4.01 tff(15745,plain,
% 3.75/4.01 (~r(s(s(s(s(z)))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[5358, 691, 1027, 2, 117])).
% 3.75/4.01 tff(15746,plain,
% 3.75/4.01 (b(s(s(s(s(z)))), z)),
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% 3.75/4.01 tff(15747,plain,
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% 3.75/4.01 tff(15749,plain,
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% 3.75/4.01 tff(15750,plain,
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% 3.75/4.01 tff(15751,plain,
% 3.75/4.01 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 3.75/4.01 tff(15752,plain,
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% 3.75/4.01 tff(15753,plain,
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% 3.75/4.01 tff(15755,plain,
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% 3.75/4.01 tff(15757,plain,
% 3.75/4.01 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
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% 3.75/4.01 tff(15758,plain,
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% 3.75/4.01 tff(15759,plain,
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% 3.75/4.01 tff(15760,plain,
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% 3.75/4.01 tff(15762,plain,
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% 3.75/4.01 tff(15763,plain,
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% 3.75/4.01 tff(15764,plain,
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% 3.75/4.01 tff(15765,plain,
% 3.75/4.01 (~b(s(s(s(z))), s(s(s(s(z)))))),
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% 3.75/4.01 tff(15766,plain,
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% 3.75/4.01 tff(15767,plain,
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% 3.75/4.01 tff(15768,plain,
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% 3.75/4.01 tff(15769,plain,
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% 3.75/4.01 tff(15770,plain,
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% 3.75/4.01 tff(15771,plain,
% 3.75/4.01 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
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% 3.75/4.01 tff(15772,plain,
% 3.75/4.01 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
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% 3.75/4.01 tff(15773,plain,
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% 3.75/4.01 tff(15774,plain,
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% 3.75/4.01 tff(15775,plain,
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% 3.75/4.01 tff(15778,plain,
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% 3.75/4.01 tff(15779,plain,
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% 3.75/4.01 tff(15780,plain,
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% 3.75/4.01 inference(rewrite,[status(thm)],[])).
% 3.75/4.01 tff(15783,plain,
% 3.75/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.75/4.01 inference(monotonicity,[status(thm)],[15782])).
% 3.75/4.01 tff(15784,plain,
% 3.75/4.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.75/4.01 inference(transitivity,[status(thm)],[15783, 15781])).
% 3.75/4.01 tff(15785,plain,
% 3.75/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(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)))),
% 3.75/4.01 inference(quant_inst,[status(thm)],[])).
% 3.75/4.01 tff(15786,plain,
% 3.75/4.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.75/4.01 inference(modus_ponens,[status(thm)],[15785, 15784])).
% 3.75/4.01 tff(15787,plain,
% 3.75/4.01 ($false),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15786, 213, 15640, 15259, 15768, 15772, 15780])).
% 3.75/4.01 tff(15788,plain,((~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.01 tff(15789,plain,
% 3.75/4.01 (~r(s(z), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15788, 6, 5])).
% 3.75/4.01 tff(15790,plain,
% 3.75/4.01 (b(s(z), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[3759, 15789])).
% 3.75/4.01 tff(15791,plain,
% 3.75/4.01 ((~b(s(z), z)) | (~b(z, s(z))) | (~b(z, s(s(s(s(z))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[6028, 15259])).
% 3.75/4.01 tff(15792,plain,
% 3.75/4.01 (~b(z, s(z))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15791, 15790, 15638])).
% 3.75/4.01 tff(15793,plain,
% 3.75/4.01 (~r(z, s(z))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[14302, 15790, 5, 15516, 15638])).
% 3.75/4.01 tff(15794,plain,
% 3.75/4.01 ($false),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[370, 15793, 15792])).
% 3.75/4.01 tff(15795,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.01 tff(15796,plain,
% 3.75/4.01 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15795, 5])).
% 3.75/4.01 tff(15797,plain,
% 3.75/4.01 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[153, 15796])).
% 3.75/4.01 tff(15798,plain,
% 3.75/4.01 ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2538, 15259])).
% 3.75/4.01 tff(15799,plain,
% 3.75/4.01 (~b(s(z), s(s(s(s(z)))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15798, 3, 15797])).
% 3.75/4.01 tff(15800,plain,
% 3.75/4.01 (r(s(z), s(s(s(s(z)))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[796, 15799])).
% 3.75/4.01 tff(15801,plain,
% 3.75/4.01 ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[8061, 15259])).
% 3.75/4.01 tff(15802,plain,
% 3.75/4.01 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15801, 3, 15797])).
% 3.75/4.01 tff(15803,plain,
% 3.75/4.01 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[3417, 15802])).
% 3.75/4.01 tff(15804,plain,
% 3.75/4.01 (~r(s(z), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[11392, 10, 15800, 15803])).
% 3.75/4.01 tff(15805,plain,
% 3.75/4.01 (b(s(z), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[3759, 15804])).
% 3.75/4.01 tff(15806,plain,
% 3.75/4.01 (~b(z, s(z))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15517, 13046, 15805])).
% 3.75/4.01 tff(15807,plain,
% 3.75/4.01 (r(z, s(z))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[370, 15806])).
% 3.75/4.01 tff(15808,plain,
% 3.75/4.01 (~r(s(z), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[5450, 11, 5, 15800, 15803])).
% 3.75/4.01 tff(15809,plain,
% 3.75/4.01 (b(s(z), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[564, 15808])).
% 3.75/4.01 tff(15810,plain,
% 3.75/4.01 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[13499, 1028, 5, 10])).
% 3.75/4.01 tff(15811,plain,
% 3.75/4.01 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2750, 15810])).
% 3.75/4.01 tff(15812,plain,
% 3.75/4.01 (~b(s(s(s(z))), s(z))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15573, 15811, 856])).
% 3.75/4.01 tff(15813,plain,
% 3.75/4.01 (r(s(s(s(z))), s(z))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[535, 15812])).
% 3.75/4.01 tff(15814,plain,
% 3.75/4.01 (~r(s(s(s(z))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[12219, 1028, 5, 10])).
% 3.75/4.01 tff(15815,plain,
% 3.75/4.01 (b(s(s(s(z))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2303, 15814])).
% 3.75/4.01 tff(15816,plain,
% 3.75/4.01 (~b(z, s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2313, 15815, 13046, 15811])).
% 3.75/4.01 tff(15817,plain,
% 3.75/4.01 (r(z, s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[581, 15816])).
% 3.75/4.01 tff(15818,plain,
% 3.75/4.01 ($false),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[4411, 76, 350, 10, 117, 15817, 15813])).
% 3.75/4.01 tff(15819,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.01 tff(15820,plain,
% 3.75/4.01 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15819, 15809, 10, 15800, 15807, 5])).
% 3.75/4.01 tff(15821,plain,
% 3.75/4.01 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[1042, 15820])).
% 3.75/4.01 tff(15822,plain,
% 3.75/4.01 (~b(s(s(s(z))), s(z))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[13009, 15821, 3, 15809])).
% 3.75/4.01 tff(15823,plain,
% 3.75/4.01 (r(s(s(s(z))), s(z))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[535, 15822])).
% 3.75/4.01 tff(15824,plain,
% 3.75/4.01 (~r(s(s(s(z))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[12207, 15823, 15803, 11])).
% 3.75/4.01 tff(15825,plain,
% 3.75/4.01 (b(s(s(s(z))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2303, 15824])).
% 3.75/4.01 tff(15826,plain,
% 3.75/4.01 (~b(z, s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[6460, 15825, 15805, 15809])).
% 3.75/4.01 tff(15827,plain,
% 3.75/4.01 (r(z, s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[581, 15826])).
% 3.75/4.01 tff(15828,plain,
% 3.75/4.01 ($false),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[4411, 76, 15807, 10, 15800, 15827, 15823])).
% 3.75/4.01 tff(15829,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.01 tff(15830,plain,
% 3.75/4.01 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15829, 10, 3, 5])).
% 3.75/4.01 tff(15831,plain,
% 3.75/4.01 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[596, 15830])).
% 3.75/4.01 tff(15832,plain,
% 3.75/4.01 (~r(s(z), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[5463, 1507, 5, 15800, 15803])).
% 3.75/4.01 tff(15833,plain,
% 3.75/4.01 (~b(s(z), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2366, 1507, 3, 506])).
% 3.75/4.01 tff(15834,plain,
% 3.75/4.01 ($false),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[564, 15833, 15832])).
% 3.75/4.01 tff(15835,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.01 tff(15836,plain,
% 3.75/4.01 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15835, 15831, 3, 5])).
% 3.75/4.01 tff(15837,plain,
% 3.75/4.01 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[1042, 15836])).
% 3.75/4.01 tff(15838,plain,
% 3.75/4.01 (~b(s(z), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[15819, 15837, 10, 15800, 15807, 5])).
% 3.75/4.01 tff(15839,plain,
% 3.75/4.01 (r(s(z), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[564, 15838])).
% 3.75/4.01 tff(15840,plain,
% 3.75/4.01 (~r(s(s(s(z))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[12219, 15837, 5, 10])).
% 3.75/4.01 tff(15841,plain,
% 3.75/4.01 (b(s(s(s(z))), z)),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2303, 15840])).
% 3.75/4.01 tff(15842,plain,
% 3.75/4.01 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[13499, 15837, 5, 10])).
% 3.75/4.01 tff(15843,plain,
% 3.75/4.01 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2750, 15842])).
% 3.75/4.01 tff(15844,plain,
% 3.75/4.01 (~b(z, s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[2313, 15843, 13046, 15841])).
% 3.75/4.01 tff(15845,plain,
% 3.75/4.01 (r(z, s(s(s(z))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[581, 15844])).
% 3.75/4.01 tff(15846,plain,
% 3.75/4.01 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[1407, 76, 15807, 10, 5, 15803])).
% 3.75/4.01 tff(15847,plain,
% 3.75/4.01 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.75/4.01 inference(unit_resolution,[status(thm)],[233, 15846])).
% 3.75/4.02 tff(15848,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.75/4.02 inference(rewrite,[status(thm)],[])).
% 3.75/4.02 tff(15849,plain,
% 3.75/4.02 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z)))))) <=> ((~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.75/4.02 inference(rewrite,[status(thm)],[])).
% 3.75/4.02 tff(15850,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))))),
% 3.75/4.02 inference(monotonicity,[status(thm)],[15849])).
% 3.75/4.02 tff(15851,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))))),
% 3.75/4.02 inference(transitivity,[status(thm)],[15850, 15848])).
% 3.75/4.02 tff(15852,plain,
% 3.75/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))))),
% 3.75/4.02 inference(quant_inst,[status(thm)],[])).
% 3.75/4.02 tff(15853,plain,
% 3.75/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z)))),
% 3.75/4.02 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 3.75/4.02 tff(15854,plain,
% 3.75/4.02 ((~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15853, 213, 15805, 15259, 15831, 15797, 15847])).
% 3.75/4.02 tff(15855,plain,
% 3.75/4.02 (~b(s(s(s(z))), s(z))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15854, 15843])).
% 3.75/4.02 tff(15856,plain,
% 3.75/4.02 (r(s(s(s(z))), s(z))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[535, 15855])).
% 3.75/4.02 tff(15857,plain,
% 3.75/4.02 ($false),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[2880, 15856, 15845, 15839, 15807])).
% 3.75/4.02 tff(15858,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.02 tff(15859,plain,
% 3.75/4.02 (~r(z, s(s(s(s(z)))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15858, 3, 5])).
% 3.75/4.02 tff(15860,plain,
% 3.75/4.02 (b(z, s(s(s(s(z)))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[5013, 15859])).
% 3.75/4.02 tff(15861,plain,
% 3.75/4.02 (~r(s(z), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12871, 15860, 5, 15800, 15803])).
% 3.75/4.02 tff(15862,plain,
% 3.75/4.02 (b(s(z), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[564, 15861])).
% 3.75/4.02 tff(15863,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.75/4.02 inference(rewrite,[status(thm)],[])).
% 3.75/4.02 tff(15864,plain,
% 3.75/4.02 (((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(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(s(z)))))))))) <=> ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.75/4.02 inference(rewrite,[status(thm)],[])).
% 3.75/4.02 tff(15865,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.75/4.02 inference(monotonicity,[status(thm)],[15864])).
% 3.75/4.02 tff(15866,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.75/4.02 inference(transitivity,[status(thm)],[15865, 15863])).
% 3.75/4.02 tff(15867,plain,
% 3.75/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(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(s(z))))))))))),
% 3.75/4.02 inference(quant_inst,[status(thm)],[])).
% 3.75/4.02 tff(15868,plain,
% 3.75/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.75/4.02 inference(modus_ponens,[status(thm)],[15867, 15866])).
% 3.75/4.02 tff(15869,plain,
% 3.75/4.02 ($false),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15868, 213, 15259, 3, 856, 203, 8])).
% 3.75/4.02 tff(15870,plain,((~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.02 tff(15871,plain,
% 3.75/4.02 (~b(s(s(s(z))), s(z))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15870, 3, 15862, 15797])).
% 3.75/4.02 tff(15872,plain,
% 3.75/4.02 (r(s(s(s(z))), s(z))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[535, 15871])).
% 3.75/4.02 tff(15873,plain,
% 3.75/4.02 (~r(s(s(s(z))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12207, 11, 9, 12])).
% 3.75/4.02 tff(15874,plain,
% 3.75/4.02 (b(s(s(s(z))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[2303, 15873])).
% 3.75/4.02 tff(15875,plain,
% 3.75/4.02 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[5640, 11, 5, 12, 9])).
% 3.75/4.02 tff(15876,plain,
% 3.75/4.02 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[1871, 15875])).
% 3.75/4.02 tff(15877,plain,
% 3.75/4.02 (~b(s(s(s(s(z)))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12379, 15876, 5015, 15874])).
% 3.75/4.02 tff(15878,plain,
% 3.75/4.02 (r(s(s(s(s(z)))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[170, 15877])).
% 3.75/4.02 tff(15879,plain,
% 3.75/4.02 (~r(s(z), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12871, 5015, 5, 117, 9])).
% 3.75/4.02 tff(15880,plain,
% 3.75/4.02 (b(s(z), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[564, 15879])).
% 3.75/4.02 tff(15881,plain,
% 3.75/4.02 (~r(z, s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12243, 15878, 5, 1028])).
% 3.75/4.02 tff(15882,plain,
% 3.75/4.02 (b(z, s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[581, 15881])).
% 3.75/4.02 tff(15883,plain,
% 3.75/4.02 (~b(s(z), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[6460, 15882, 15874, 15880])).
% 3.75/4.02 tff(15884,plain,
% 3.75/4.02 (r(s(z), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[3759, 15883])).
% 3.75/4.02 tff(15885,plain,
% 3.75/4.02 ($false),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[5269, 76, 15884, 117, 15878, 5, 9])).
% 3.75/4.02 tff(15886,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.02 tff(15887,plain,
% 3.75/4.02 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15886, 1028, 5, 15803, 15800, 15860, 15872])).
% 3.75/4.02 tff(15888,plain,
% 3.75/4.02 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[596, 15887])).
% 3.75/4.02 tff(15889,plain,
% 3.75/4.02 ($false),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12257, 76, 5, 10954, 1028, 2410, 2296])).
% 3.75/4.02 tff(15890,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.02 tff(15891,plain,
% 3.75/4.02 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15890, 2296, 1028, 5])).
% 3.75/4.02 tff(15892,plain,
% 3.75/4.02 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[2750, 15891])).
% 3.75/4.02 tff(15893,plain,
% 3.75/4.02 (~r(z, s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[11146, 2296, 1028])).
% 3.75/4.02 tff(15894,plain,
% 3.75/4.02 (b(z, s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[581, 15893])).
% 3.75/4.02 tff(15895,plain,
% 3.75/4.02 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[11454, 15892, 15860, 1028])).
% 3.75/4.02 tff(15896,plain,
% 3.75/4.02 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[1871, 15895])).
% 3.75/4.02 tff(15897,plain,
% 3.75/4.02 (~r(s(s(s(s(z)))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[13379, 15896, 5, 1028])).
% 3.75/4.02 tff(15898,plain,
% 3.75/4.02 (b(s(s(s(s(z)))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[170, 15897])).
% 3.75/4.02 tff(15899,plain,
% 3.75/4.02 (~b(s(z), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15472, 15898, 15860])).
% 3.75/4.02 tff(15900,plain,
% 3.75/4.02 (r(s(z), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[3759, 15899])).
% 3.75/4.02 tff(15901,plain,
% 3.75/4.02 (~r(z, s(z))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[2775, 15900, 15872, 2296])).
% 3.75/4.02 tff(15902,plain,
% 3.75/4.02 (b(z, s(z))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[370, 15901])).
% 3.75/4.02 tff(15903,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 3.75/4.02 inference(rewrite,[status(thm)],[])).
% 3.75/4.02 tff(15904,plain,
% 3.75/4.02 (((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 3.75/4.02 inference(rewrite,[status(thm)],[])).
% 3.75/4.02 tff(15905,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))))),
% 3.75/4.02 inference(monotonicity,[status(thm)],[15904])).
% 3.75/4.02 tff(15906,plain,
% 3.75/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))))),
% 3.75/4.02 inference(transitivity,[status(thm)],[15905, 15903])).
% 3.75/4.02 tff(15907,plain,
% 3.75/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))))),
% 3.75/4.02 inference(quant_inst,[status(thm)],[])).
% 3.75/4.02 tff(15908,plain,
% 3.75/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z)))))),
% 3.75/4.02 inference(modus_ponens,[status(thm)],[15907, 15906])).
% 3.75/4.02 tff(15909,plain,
% 3.75/4.02 ($false),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15908, 213, 15902, 15860, 15259, 15888, 3, 15894, 15892])).
% 3.75/4.02 tff(15910,plain,((~r(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.02 tff(15911,plain,
% 3.75/4.02 (~r(s(s(s(z))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15910, 1028, 5, 3])).
% 3.75/4.02 tff(15912,plain,
% 3.75/4.02 (b(s(s(s(z))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[2303, 15911])).
% 3.75/4.02 tff(15913,plain,
% 3.75/4.02 (~b(s(s(s(s(z)))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12922, 15912, 5, 15797, 15860, 15862, 15888, 3])).
% 3.75/4.02 tff(15914,plain,
% 3.75/4.02 (r(s(s(s(s(z)))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[170, 15913])).
% 3.75/4.02 tff(15915,plain,
% 3.75/4.02 (~r(z, s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12243, 15914, 5, 1028])).
% 3.75/4.02 tff(15916,plain,
% 3.75/4.02 (b(z, s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[581, 15915])).
% 3.75/4.02 tff(15917,plain,
% 3.75/4.02 (~b(s(z), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[6460, 15916, 15912, 15862])).
% 3.75/4.02 tff(15918,plain,
% 3.75/4.02 (r(s(z), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[3759, 15917])).
% 3.75/4.02 tff(15919,plain,
% 3.75/4.02 ($false),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[5269, 76, 15918, 15800, 15914, 5, 15803])).
% 3.75/4.02 tff(15920,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.02 tff(15921,plain,
% 3.75/4.02 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15920, 3, 5])).
% 3.75/4.02 tff(15922,plain,
% 3.75/4.02 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[1042, 15921])).
% 3.75/4.02 tff(15923,plain,
% 3.75/4.02 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[2366, 15922, 3, 15862])).
% 3.75/4.02 tff(15924,plain,
% 3.75/4.02 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[596, 15923])).
% 3.75/4.02 tff(15925,plain,
% 3.75/4.02 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[5640, 15924, 5, 15872, 15803])).
% 3.75/4.02 tff(15926,plain,
% 3.75/4.02 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[1871, 15925])).
% 3.75/4.02 tff(15927,plain,
% 3.75/4.02 (~r(s(s(s(z))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12207, 15924, 15803, 15872])).
% 3.75/4.02 tff(15928,plain,
% 3.75/4.02 (b(s(s(s(z))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[2303, 15927])).
% 3.75/4.02 tff(15929,plain,
% 3.75/4.02 (~b(s(s(s(s(z)))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[12379, 15926, 15860, 15928])).
% 3.75/4.02 tff(15930,plain,
% 3.75/4.02 (r(s(s(s(s(z)))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[170, 15929])).
% 3.75/4.02 tff(15931,plain,
% 3.75/4.02 ($false),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[5269, 76, 2, 117, 155, 5, 9])).
% 3.75/4.02 tff(15932,plain,((~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.75/4.02 tff(15933,plain,
% 3.75/4.02 (~r(s(z), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[15932, 15800, 15930, 5, 15803])).
% 3.75/4.02 tff(15934,plain,
% 3.75/4.02 (b(s(z), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[3759, 15933])).
% 3.75/4.02 tff(15935,plain,
% 3.75/4.02 (~b(z, s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[6460, 15934, 15928, 15862])).
% 3.75/4.02 tff(15936,plain,
% 3.75/4.02 (r(z, s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[581, 15935])).
% 3.75/4.02 tff(15937,plain,
% 3.75/4.02 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[5713, 15936, 3, 15930, 15928, 15860, 15926, 15922, 5, 15872, 15800])).
% 3.75/4.02 tff(15938,plain,
% 3.75/4.02 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[627, 15937])).
% 3.75/4.02 tff(15939,plain,
% 3.75/4.02 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.75/4.02 inference(unit_resolution,[status(thm)],[5644, 15926, 15860, 15928])).
% 3.75/4.02 tff(15940,plain,
% 3.75/4.02 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.02 inference(unit_resolution,[status(thm)],[2750, 15939])).
% 3.87/4.02 tff(15941,plain,
% 3.87/4.02 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.87/4.02 inference(unit_resolution,[status(thm)],[5741, 15259])).
% 3.87/4.02 tff(15942,plain,
% 3.87/4.02 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.02 inference(unit_resolution,[status(thm)],[15941, 15938, 15862, 15922, 15940, 15872, 15934, 3, 15928, 15926, 15803])).
% 3.87/4.02 tff(15943,plain,
% 3.87/4.02 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.02 inference(unit_resolution,[status(thm)],[610, 15942])).
% 3.87/4.02 tff(15944,plain,
% 3.87/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.87/4.02 inference(rewrite,[status(thm)],[])).
% 3.87/4.02 tff(15945,plain,
% 3.87/4.02 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.87/4.02 inference(rewrite,[status(thm)],[])).
% 3.87/4.02 tff(15946,plain,
% 3.87/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.87/4.02 inference(monotonicity,[status(thm)],[15945])).
% 3.87/4.02 tff(15947,plain,
% 3.87/4.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.87/4.02 inference(transitivity,[status(thm)],[15946, 15944])).
% 3.87/4.02 tff(15948,plain,
% 3.87/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.87/4.02 inference(quant_inst,[status(thm)],[])).
% 3.87/4.02 tff(15949,plain,
% 3.87/4.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.87/4.03 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 3.87/4.03 tff(15950,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15949, 213, 3771, 281, 2812, 747])).
% 3.87/4.03 tff(15951,plain,((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(15952,plain,
% 3.87/4.03 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15951, 15934, 15943, 15938])).
% 3.87/4.03 tff(15953,plain,
% 3.87/4.03 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[819, 15952])).
% 3.87/4.03 tff(15954,plain,
% 3.87/4.03 (~b(z, s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15791, 15934, 15860])).
% 3.87/4.03 tff(15955,plain,
% 3.87/4.03 (r(z, s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[370, 15954])).
% 3.87/4.03 tff(15956,plain,
% 3.87/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.03 inference(rewrite,[status(thm)],[])).
% 3.87/4.03 tff(15957,plain,
% 3.87/4.03 (((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))) <=> ((~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.03 inference(rewrite,[status(thm)],[])).
% 3.87/4.03 tff(15958,plain,
% 3.87/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.87/4.03 inference(monotonicity,[status(thm)],[15957])).
% 3.87/4.03 tff(15959,plain,
% 3.87/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.03 inference(transitivity,[status(thm)],[15958, 15956])).
% 3.87/4.03 tff(15960,plain,
% 3.87/4.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))),
% 3.87/4.03 inference(quant_inst,[status(thm)],[])).
% 3.87/4.03 tff(15961,plain,
% 3.87/4.03 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.03 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 3.87/4.03 tff(15962,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15961, 76, 350, 691, 252, 12, 282])).
% 3.87/4.03 tff(15963,plain,((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(15964,plain,
% 3.87/4.03 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15963, 15955, 15936, 15872, 15953])).
% 3.87/4.03 tff(15965,plain,
% 3.87/4.03 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[279, 15964])).
% 3.87/4.03 tff(15966,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[805, 213, 15259, 15943, 3, 15797, 15965])).
% 3.87/4.03 tff(15967,plain,((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(15968,plain,
% 3.87/4.03 (~b(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15967, 5])).
% 3.87/4.03 tff(15969,plain,
% 3.87/4.03 (r(s(s(s(s(s(s(s(z))))))), s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[450, 15968])).
% 3.87/4.03 tff(15970,plain,
% 3.87/4.03 (~b(s(z), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15283, 5015, 782])).
% 3.87/4.03 tff(15971,plain,
% 3.87/4.03 (r(s(z), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[3759, 15970])).
% 3.87/4.03 tff(15972,plain,
% 3.87/4.03 (~b(z, s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15267, 5015, 782])).
% 3.87/4.03 tff(15973,plain,
% 3.87/4.03 (r(z, s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[370, 15972])).
% 3.87/4.03 tff(15974,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[14299, 15973, 15971, 15])).
% 3.87/4.03 tff(15975,plain,((~b(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(15976,plain,
% 3.87/4.03 (~b(z, s(s(s(s(z)))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15975, 782, 15969])).
% 3.87/4.03 tff(15977,plain,
% 3.87/4.03 (r(z, s(s(s(s(z)))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[5013, 15976])).
% 3.87/4.03 tff(15978,plain,
% 3.87/4.03 (~b(z, s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[14031, 15977, 5, 15969, 782])).
% 3.87/4.03 tff(15979,plain,
% 3.87/4.03 (r(z, s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[370, 15978])).
% 3.87/4.03 tff(15980,plain,
% 3.87/4.03 (~r(s(z), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[14299, 15979, 15969])).
% 3.87/4.03 tff(15981,plain,
% 3.87/4.03 (b(s(z), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[3759, 15980])).
% 3.87/4.03 tff(15982,plain,
% 3.87/4.03 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15321, 8, 782])).
% 3.87/4.03 tff(15983,plain,
% 3.87/4.03 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[1871, 15982])).
% 3.87/4.03 tff(15984,plain,
% 3.87/4.03 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15375, 8, 782])).
% 3.87/4.03 tff(15985,plain,
% 3.87/4.03 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[2750, 15984])).
% 3.87/4.03 tff(15986,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[14266, 76, 10, 691, 15985, 15983])).
% 3.87/4.03 tff(15987,plain,((~b(s(s(s(z))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(15988,plain,
% 3.87/4.03 (~b(s(s(s(z))), s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15987, 691, 15977, 782])).
% 3.87/4.03 tff(15989,plain,
% 3.87/4.03 (r(s(s(s(z))), s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[535, 15988])).
% 3.87/4.03 tff(15990,plain,
% 3.87/4.03 (~r(s(z), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[2880, 15989, 691, 15979])).
% 3.87/4.03 tff(15991,plain,
% 3.87/4.03 (b(s(z), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[564, 15990])).
% 3.87/4.03 tff(15992,plain,
% 3.87/4.03 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15261, 15991, 782])).
% 3.87/4.03 tff(15993,plain,
% 3.87/4.03 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[1871, 15992])).
% 3.87/4.03 tff(15994,plain,
% 3.87/4.03 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15289, 15993, 5, 691])).
% 3.87/4.03 tff(15995,plain,
% 3.87/4.03 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[1042, 15994])).
% 3.87/4.03 tff(15996,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[14266, 76, 10, 691, 2410, 1556])).
% 3.87/4.03 tff(15997,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(15998,plain,
% 3.87/4.03 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15997, 691, 15977, 15993])).
% 3.87/4.03 tff(15999,plain,
% 3.87/4.03 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[2750, 15998])).
% 3.87/4.03 tff(16000,plain,
% 3.87/4.03 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[3458, 15999, 15797, 15995])).
% 3.87/4.03 tff(16001,plain,
% 3.87/4.03 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[596, 16000])).
% 3.87/4.03 tff(16002,plain,
% 3.87/4.03 (~r(s(s(s(z))), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[13188, 16001, 5, 782, 15993, 15981])).
% 3.87/4.03 tff(16003,plain,
% 3.87/4.03 (b(s(s(s(z))), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[2303, 16002])).
% 3.87/4.03 tff(16004,plain,
% 3.87/4.03 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[5640, 16001, 5, 15989, 15993])).
% 3.87/4.03 tff(16005,plain,
% 3.87/4.03 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[3417, 16004])).
% 3.87/4.03 tff(16006,plain,
% 3.87/4.03 (~r(s(s(s(s(z)))), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[13044, 15977, 5])).
% 3.87/4.03 tff(16007,plain,
% 3.87/4.03 (b(s(s(s(s(z)))), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[170, 16006])).
% 3.87/4.03 tff(16008,plain,
% 3.87/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.03 inference(rewrite,[status(thm)],[])).
% 3.87/4.03 tff(16009,plain,
% 3.87/4.03 (((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.03 inference(rewrite,[status(thm)],[])).
% 3.87/4.03 tff(16010,plain,
% 3.87/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.87/4.03 inference(monotonicity,[status(thm)],[16009])).
% 3.87/4.03 tff(16011,plain,
% 3.87/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.03 inference(transitivity,[status(thm)],[16010, 16008])).
% 3.87/4.03 tff(16012,plain,
% 3.87/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.87/4.03 inference(quant_inst,[status(thm)],[])).
% 3.87/4.03 tff(16013,plain,
% 3.87/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.87/4.03 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 3.87/4.03 tff(16014,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[16013, 213, 15981, 15259, 16007, 15995, 15797, 16005, 16003])).
% 3.87/4.03 tff(16015,plain,((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(16016,plain,
% 3.87/4.03 (~r(z, s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[16015, 782, 5])).
% 3.87/4.03 tff(16017,plain,
% 3.87/4.03 (b(z, s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[581, 16016])).
% 3.87/4.03 tff(16018,plain,
% 3.87/4.03 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[12219, 2296, 5, 15977])).
% 3.87/4.03 tff(16019,plain,
% 3.87/4.03 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[1042, 16018])).
% 3.87/4.03 tff(16020,plain,
% 3.87/4.03 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[13188, 11, 5, 782, 2296, 15981])).
% 3.87/4.03 tff(16021,plain,
% 3.87/4.03 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[1871, 16020])).
% 3.87/4.03 tff(16022,plain,
% 3.87/4.03 (~b(s(z), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[15261, 16021, 782])).
% 3.87/4.03 tff(16023,plain,
% 3.87/4.03 (r(s(z), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[564, 16022])).
% 3.87/4.03 tff(16024,plain,
% 3.87/4.03 ((~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[3003, 15259])).
% 3.87/4.03 tff(16025,plain,
% 3.87/4.03 (~b(z, s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[16024, 1065, 782, 8])).
% 3.87/4.03 tff(16026,plain,
% 3.87/4.03 (r(z, s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[370, 16025])).
% 3.87/4.03 tff(16027,plain,
% 3.87/4.03 (~r(s(z), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[14299, 16026, 15969])).
% 3.87/4.03 tff(16028,plain,
% 3.87/4.03 (b(s(z), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[3759, 16027])).
% 3.87/4.03 tff(16029,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[11816, 213, 3771, 1065, 8, 1016])).
% 3.87/4.03 tff(16030,plain,((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(16031,plain,
% 3.87/4.03 (~b(s(s(s(z))), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[16030, 16028, 1065, 8])).
% 3.87/4.03 tff(16032,plain,
% 3.87/4.03 (r(s(s(s(z))), z)),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[2303, 16031])).
% 3.87/4.03 tff(16033,plain,
% 3.87/4.03 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[13188, 16032, 5, 782, 15983, 16028])).
% 3.87/4.03 tff(16034,plain,
% 3.87/4.03 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[596, 16033])).
% 3.87/4.03 tff(16035,plain,
% 3.87/4.03 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[2293, 16034, 1507, 1065])).
% 3.87/4.03 tff(16036,plain,
% 3.87/4.03 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[233, 16035])).
% 3.87/4.03 tff(16037,plain,
% 3.87/4.03 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[1749, 16036, 15969, 16026])).
% 3.87/4.03 tff(16038,plain,
% 3.87/4.03 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[3417, 16037])).
% 3.87/4.03 tff(16039,plain,
% 3.87/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(rewrite,[status(thm)],[])).
% 3.87/4.03 tff(16040,plain,
% 3.87/4.03 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(rewrite,[status(thm)],[])).
% 3.87/4.03 tff(16041,plain,
% 3.87/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.03 inference(monotonicity,[status(thm)],[16040])).
% 3.87/4.03 tff(16042,plain,
% 3.87/4.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(transitivity,[status(thm)],[16041, 16039])).
% 3.87/4.03 tff(16043,plain,
% 3.87/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.87/4.03 inference(quant_inst,[status(thm)],[])).
% 3.87/4.03 tff(16044,plain,
% 3.87/4.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 3.87/4.03 inference(modus_ponens,[status(thm)],[16043, 16042])).
% 3.87/4.03 tff(16045,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[16044, 213, 782, 16034, 1507, 15797, 16038])).
% 3.87/4.03 tff(16046,plain,((~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(16047,plain,
% 3.87/4.03 (~b(s(s(s(z))), s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[16046, 1507, 782, 5, 16017])).
% 3.87/4.03 tff(16048,plain,
% 3.87/4.03 (r(s(s(s(z))), s(z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[535, 16047])).
% 3.87/4.03 tff(16049,plain,
% 3.87/4.03 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[682, 11, 15969, 16048])).
% 3.87/4.03 tff(16050,plain,
% 3.87/4.03 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[3417, 16049])).
% 3.87/4.03 tff(16051,plain,
% 3.87/4.03 ($false),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[12580, 76, 350, 14, 706, 598, 13])).
% 3.87/4.03 tff(16052,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.03 tff(16053,plain,
% 3.87/4.03 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[16052, 10954])).
% 3.87/4.03 tff(16054,plain,
% 3.87/4.03 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[16053, 13, 706, 350])).
% 3.87/4.03 tff(16055,plain,
% 3.87/4.03 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[484, 16054])).
% 3.87/4.03 tff(16056,plain,
% 3.87/4.03 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[2524, 16055, 203, 191, 202])).
% 3.87/4.03 tff(16057,plain,
% 3.87/4.03 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[436, 16056])).
% 3.87/4.03 tff(16058,plain,
% 3.87/4.03 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[8951, 16057, 11, 12, 706])).
% 3.87/4.03 tff(16059,plain,
% 3.87/4.03 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[4243, 16058])).
% 3.87/4.03 tff(16060,plain,
% 3.87/4.03 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[5900, 16059, 1507, 16055])).
% 3.87/4.03 tff(16061,plain,
% 3.87/4.03 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.03 inference(unit_resolution,[status(thm)],[653, 16060])).
% 3.87/4.03 tff(16062,plain,
% 3.87/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.87/4.03 inference(rewrite,[status(thm)],[])).
% 3.87/4.03 tff(16063,plain,
% 3.87/4.03 (((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.87/4.03 inference(rewrite,[status(thm)],[])).
% 3.87/4.03 tff(16064,plain,
% 3.87/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(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(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.87/4.03 inference(monotonicity,[status(thm)],[16063])).
% 3.87/4.03 tff(16065,plain,
% 3.87/4.03 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(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(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.87/4.04 inference(transitivity,[status(thm)],[16064, 16062])).
% 3.87/4.04 tff(16066,plain,
% 3.87/4.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.87/4.04 inference(quant_inst,[status(thm)],[])).
% 3.87/4.04 tff(16067,plain,
% 3.87/4.04 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.87/4.04 inference(modus_ponens,[status(thm)],[16066, 16065])).
% 3.87/4.04 tff(16068,plain,
% 3.87/4.04 ($false),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16067, 76, 350, 706, 16061, 1027, 13])).
% 3.87/4.04 tff(16069,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.04 tff(16070,plain,
% 3.87/4.04 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16069, 706, 15979, 1027, 1507, 11, 16048, 15797, 16007, 202])).
% 3.87/4.04 tff(16071,plain,
% 3.87/4.04 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[627, 16070])).
% 3.87/4.04 tff(16072,plain,
% 3.87/4.04 ($false),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[1321, 76, 15, 706, 252, 382])).
% 3.87/4.04 tff(16073,plain,((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.04 tff(16074,plain,
% 3.87/4.04 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16073, 382, 706, 15969])).
% 3.87/4.04 tff(16075,plain,
% 3.87/4.04 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[279, 16074])).
% 3.87/4.04 tff(16076,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.04 inference(rewrite,[status(thm)],[])).
% 3.87/4.04 tff(16077,plain,
% 3.87/4.04 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.04 inference(rewrite,[status(thm)],[])).
% 3.87/4.04 tff(16078,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.87/4.04 inference(monotonicity,[status(thm)],[16077])).
% 3.87/4.04 tff(16079,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.04 inference(transitivity,[status(thm)],[16078, 16076])).
% 3.87/4.04 tff(16080,plain,
% 3.87/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.04 inference(quant_inst,[status(thm)],[])).
% 3.87/4.04 tff(16081,plain,
% 3.87/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.87/4.04 inference(modus_ponens,[status(thm)],[16080, 16079])).
% 3.87/4.04 tff(16082,plain,
% 3.87/4.04 ((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16081, 213, 15981, 782, 15259, 2812])).
% 3.87/4.04 tff(16083,plain,
% 3.87/4.04 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16082, 16075])).
% 3.87/4.04 tff(16084,plain,
% 3.87/4.04 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[316, 16083])).
% 3.87/4.04 tff(16085,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.04 inference(rewrite,[status(thm)],[])).
% 3.87/4.04 tff(16086,plain,
% 3.87/4.04 (((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.04 inference(rewrite,[status(thm)],[])).
% 3.87/4.04 tff(16087,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.87/4.04 inference(monotonicity,[status(thm)],[16086])).
% 3.87/4.04 tff(16088,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.04 inference(transitivity,[status(thm)],[16087, 16085])).
% 3.87/4.04 tff(16089,plain,
% 3.87/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(z)))))))),
% 3.87/4.04 inference(quant_inst,[status(thm)],[])).
% 3.87/4.04 tff(16090,plain,
% 3.87/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.04 inference(modus_ponens,[status(thm)],[16089, 16088])).
% 3.87/4.04 tff(16091,plain,
% 3.87/4.04 ((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16090, 213, 782, 15797, 2812, 4, 202])).
% 3.87/4.04 tff(16092,plain,
% 3.87/4.04 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16091, 16075])).
% 3.87/4.04 tff(16093,plain,
% 3.87/4.04 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[338, 16092])).
% 3.87/4.04 tff(16094,plain,
% 3.87/4.04 ($false),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[965, 16093, 16084, 5, 382])).
% 3.87/4.04 tff(16095,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.04 tff(16096,plain,
% 3.87/4.04 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16095, 16071, 782, 5, 16050, 202, 706])).
% 3.87/4.04 tff(16097,plain,
% 3.87/4.04 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[436, 16096])).
% 3.87/4.04 tff(16098,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.04 inference(rewrite,[status(thm)],[])).
% 3.87/4.04 tff(16099,plain,
% 3.87/4.04 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.04 inference(rewrite,[status(thm)],[])).
% 3.87/4.04 tff(16100,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.87/4.04 inference(monotonicity,[status(thm)],[16099])).
% 3.87/4.04 tff(16101,plain,
% 3.87/4.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.04 inference(transitivity,[status(thm)],[16100, 16098])).
% 3.87/4.04 tff(16102,plain,
% 3.87/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))))),
% 3.87/4.04 inference(quant_inst,[status(thm)],[])).
% 3.87/4.04 tff(16103,plain,
% 3.87/4.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.04 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 3.87/4.04 tff(16104,plain,
% 3.87/4.04 ($false),
% 3.87/4.04 inference(unit_resolution,[status(thm)],[16103, 213, 15981, 15259, 16007, 15797, 16097, 16071, 16050])).
% 3.87/4.04 tff(16105,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.04 tff(16106,plain,
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% 3.87/4.04 tff(16107,plain,
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% 3.87/4.04 tff(16108,plain,
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% 3.87/4.04 tff(16109,plain,
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% 3.87/4.04 tff(16110,plain,
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% 3.87/4.04 tff(16111,plain,
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% 3.87/4.04 (b(s(z), s(s(s(s(s(s(s(z))))))))),
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% 3.87/4.04 tff(16114,plain,
% 3.87/4.04 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.87/4.04 tff(16115,plain,
% 3.87/4.04 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.87/4.04 tff(16116,plain,
% 3.87/4.04 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.87/4.04 tff(16117,plain,
% 3.87/4.04 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.87/4.04 tff(16118,plain,
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% 3.87/4.04 tff(16119,plain,
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% 3.87/4.04 tff(16120,plain,
% 3.87/4.04 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
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% 3.87/4.04 tff(16121,plain,
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% 3.87/4.04 tff(16122,plain,
% 3.87/4.04 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
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% 3.87/4.04 tff(16123,plain,
% 3.87/4.04 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.87/4.04 tff(16124,plain,
% 3.87/4.04 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.87/4.04 tff(16125,plain,
% 3.87/4.04 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.04 inference(rewrite,[status(thm)],[])).
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% 3.87/4.05 inference(rewrite,[status(thm)],[])).
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% 3.87/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.05 inference(monotonicity,[status(thm)],[16187])).
% 3.87/4.05 tff(16189,plain,
% 3.87/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.05 inference(transitivity,[status(thm)],[16188, 16186])).
% 3.87/4.05 tff(16190,plain,
% 3.87/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(z)))))))),
% 3.87/4.05 inference(quant_inst,[status(thm)],[])).
% 3.87/4.05 tff(16191,plain,
% 3.87/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
% 3.87/4.05 inference(modus_ponens,[status(thm)],[16190, 16189])).
% 3.87/4.05 tff(16192,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16191, 213, 15981, 782, 16007, 15797, 16181, 16160, 16185])).
% 3.87/4.05 tff(16193,plain,((~r(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16194,plain,
% 3.87/4.05 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16193, 782, 5])).
% 3.87/4.05 tff(16195,plain,
% 3.87/4.05 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[233, 16194])).
% 3.87/4.05 tff(16196,plain,
% 3.87/4.05 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16105, 16195, 5, 782, 16146, 16148, 16156])).
% 3.87/4.05 tff(16197,plain,
% 3.87/4.05 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[610, 16196])).
% 3.87/4.05 tff(16198,plain,
% 3.87/4.05 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[1265, 213, 782, 15259, 16197])).
% 3.87/4.05 tff(16199,plain,
% 3.87/4.05 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[316, 16198])).
% 3.87/4.05 tff(16200,plain,
% 3.87/4.05 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[1283, 213, 782, 15259, 16197])).
% 3.87/4.05 tff(16201,plain,
% 3.87/4.05 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[338, 16200])).
% 3.87/4.05 tff(16202,plain,
% 3.87/4.05 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[965, 16201, 5, 16199])).
% 3.87/4.05 tff(16203,plain,
% 3.87/4.05 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[436, 16202])).
% 3.87/4.05 tff(16204,plain,
% 3.87/4.05 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16118, 16203, 15797, 16160])).
% 3.87/4.05 tff(16205,plain,
% 3.87/4.05 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[484, 16204])).
% 3.87/4.05 tff(16206,plain,
% 3.87/4.05 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[1197, 76, 15977, 10954, 16205, 16199])).
% 3.87/4.05 tff(16207,plain,
% 3.87/4.05 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[627, 16206])).
% 3.87/4.05 tff(16208,plain,
% 3.87/4.05 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[345, 76, 15977, 16201, 16199])).
% 3.87/4.05 tff(16209,plain,
% 3.87/4.05 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[819, 16208])).
% 3.87/4.05 tff(16210,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15951, 16209, 16207, 15981, 16197])).
% 3.87/4.05 tff(16211,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16212,plain,
% 3.87/4.05 (~b(s(z), s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16211, 5])).
% 3.87/4.05 tff(16213,plain,
% 3.87/4.05 (r(s(z), s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[796, 16212])).
% 3.87/4.05 tff(16214,plain,
% 3.87/4.05 (~r(z, s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15527, 16213, 15969, 5])).
% 3.87/4.05 tff(16215,plain,
% 3.87/4.05 (b(z, s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[370, 16214])).
% 3.87/4.05 tff(16216,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15634, 76, 2, 10, 15969, 5, 10954])).
% 3.87/4.05 tff(16217,plain,((~r(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16218,plain,
% 3.87/4.05 (~r(z, s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16217, 2, 5])).
% 3.87/4.05 tff(16219,plain,
% 3.87/4.05 (b(z, s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[5013, 16218])).
% 3.87/4.05 tff(16220,plain,
% 3.87/4.05 (~r(z, s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[11392, 9, 16213, 2])).
% 3.87/4.05 tff(16221,plain,
% 3.87/4.05 (b(z, s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[5013, 16220])).
% 3.87/4.05 tff(16222,plain,
% 3.87/4.05 (~r(s(z), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[12871, 16221, 5, 16213, 9])).
% 3.87/4.05 tff(16223,plain,
% 3.87/4.05 (b(s(z), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[564, 16222])).
% 3.87/4.05 tff(16224,plain,
% 3.87/4.05 (~r(z, s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[14750, 1028, 15969, 2])).
% 3.87/4.05 tff(16225,plain,
% 3.87/4.05 (b(z, s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[581, 16224])).
% 3.87/4.05 tff(16226,plain,
% 3.87/4.05 (~r(s(s(s(z))), s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[4953, 1028, 5, 15969, 16213])).
% 3.87/4.05 tff(16227,plain,
% 3.87/4.05 (b(s(s(s(z))), s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[535, 16226])).
% 3.87/4.05 tff(16228,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[8680, 16227, 16225, 16215, 856])).
% 3.87/4.05 tff(16229,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16230,plain,
% 3.87/4.05 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16229, 16223, 5, 2])).
% 3.87/4.05 tff(16231,plain,
% 3.87/4.05 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[1042, 16230])).
% 3.87/4.05 tff(16232,plain,
% 3.87/4.05 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[6062, 16231, 15797, 15235, 16221])).
% 3.87/4.05 tff(16233,plain,
% 3.87/4.05 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[596, 16232])).
% 3.87/4.05 tff(16234,plain,
% 3.87/4.05 (~r(s(s(s(z))), s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[682, 16233, 15969, 9])).
% 3.87/4.05 tff(16235,plain,
% 3.87/4.05 (b(s(s(s(z))), s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[535, 16234])).
% 3.87/4.05 tff(16236,plain,
% 3.87/4.05 (~r(s(s(s(s(z)))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15932, 9, 16213, 5, 2])).
% 3.87/4.05 tff(16237,plain,
% 3.87/4.05 (b(s(s(s(s(z)))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[170, 16236])).
% 3.87/4.05 tff(16238,plain,
% 3.87/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.87/4.05 inference(rewrite,[status(thm)],[])).
% 3.87/4.05 tff(16239,plain,
% 3.87/4.05 (((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.87/4.05 inference(rewrite,[status(thm)],[])).
% 3.87/4.05 tff(16240,plain,
% 3.87/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.87/4.05 inference(monotonicity,[status(thm)],[16239])).
% 3.87/4.05 tff(16241,plain,
% 3.87/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.87/4.05 inference(transitivity,[status(thm)],[16240, 16238])).
% 3.87/4.05 tff(16242,plain,
% 3.87/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)))),
% 3.87/4.05 inference(quant_inst,[status(thm)],[])).
% 3.87/4.05 tff(16243,plain,
% 3.87/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(z)))),
% 3.87/4.05 inference(modus_ponens,[status(thm)],[16242, 16241])).
% 3.87/4.05 tff(16244,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16243, 213, 16215, 15259, 16237, 16231, 15797, 16235, 15235])).
% 3.87/4.05 tff(16245,plain,((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16246,plain,
% 3.87/4.05 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16245, 2, 5])).
% 3.87/4.05 tff(16247,plain,
% 3.87/4.05 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[3417, 16246])).
% 3.87/4.05 tff(16248,plain,
% 3.87/4.05 ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[11842, 10954])).
% 3.87/4.05 tff(16249,plain,
% 3.87/4.05 ((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16248, 15259])).
% 3.87/4.05 tff(16250,plain,
% 3.87/4.05 (~r(s(s(s(s(z)))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16249, 16247, 15797, 16213])).
% 3.87/4.05 tff(16251,plain,
% 3.87/4.05 (b(s(s(s(s(z)))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[170, 16250])).
% 3.87/4.05 tff(16252,plain,
% 3.87/4.05 (~r(s(s(s(z))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[7931, 1027, 2, 691])).
% 3.87/4.05 tff(16253,plain,
% 3.87/4.05 (~b(s(s(s(z))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15748, 1027, 5015, 691, 2, 117])).
% 3.87/4.05 tff(16254,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[2303, 16253, 16252])).
% 3.87/4.05 tff(16255,plain,((~r(s(z), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16256,plain,
% 3.87/4.05 (~r(s(z), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16255, 691, 16219, 2, 16213])).
% 3.87/4.05 tff(16257,plain,
% 3.87/4.05 (b(s(z), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[564, 16256])).
% 3.87/4.05 tff(16258,plain,
% 3.87/4.05 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15680, 16257, 15969, 5, 16213, 16247])).
% 3.87/4.05 tff(16259,plain,
% 3.87/4.05 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[596, 16258])).
% 3.87/4.05 tff(16260,plain,
% 3.87/4.05 (~r(s(s(s(z))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15654, 16259, 2, 16247, 16257, 15969])).
% 3.87/4.05 tff(16261,plain,
% 3.87/4.05 (b(s(s(s(z))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[2303, 16260])).
% 3.87/4.05 tff(16262,plain,
% 3.87/4.05 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[12379, 16261, 16251, 16219])).
% 3.87/4.05 tff(16263,plain,
% 3.87/4.05 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[1871, 16262])).
% 3.87/4.05 tff(16264,plain,
% 3.87/4.05 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[14750, 691, 15969, 2])).
% 3.87/4.05 tff(16265,plain,
% 3.87/4.05 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[1042, 16264])).
% 3.87/4.05 tff(16266,plain,
% 3.87/4.05 (~b(s(s(s(z))), s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[10699, 16257, 16247, 16265])).
% 3.87/4.05 tff(16267,plain,
% 3.87/4.05 (r(s(s(s(z))), s(z))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[535, 16266])).
% 3.87/4.05 tff(16268,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[10816, 76, 16213, 16259, 15969, 16267, 16263])).
% 3.87/4.05 tff(16269,plain,((~r(z, s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16270,plain,
% 3.87/4.05 (~r(z, s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16269, 2, 5])).
% 3.87/4.05 tff(16271,plain,
% 3.87/4.05 (b(z, s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[581, 16270])).
% 3.87/4.05 tff(16272,plain,
% 3.87/4.05 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[5418, 16271, 16251, 16219])).
% 3.87/4.05 tff(16273,plain,
% 3.87/4.05 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[1871, 16272])).
% 3.87/4.05 tff(16274,plain,
% 3.87/4.05 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15680, 856, 15969, 5, 16213, 16247])).
% 3.87/4.05 tff(16275,plain,
% 3.87/4.05 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[596, 16274])).
% 3.87/4.05 tff(16276,plain,
% 3.87/4.05 (~b(s(s(s(z))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[8785, 856, 16215, 16271])).
% 3.87/4.05 tff(16277,plain,
% 3.87/4.05 (r(s(s(s(z))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[2303, 16276])).
% 3.87/4.05 tff(16278,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15654, 16277, 16275, 2, 16247, 856, 15969])).
% 3.87/4.05 tff(16279,plain,((~b(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16280,plain,
% 3.87/4.05 (~b(s(z), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16279, 2, 5])).
% 3.87/4.05 tff(16281,plain,
% 3.87/4.05 (r(s(z), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[564, 16280])).
% 3.87/4.05 tff(16282,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[5461, 76, 117, 1027, 2410, 1556])).
% 3.87/4.05 tff(16283,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16284,plain,
% 3.87/4.05 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16283, 16281, 16213, 16273])).
% 3.87/4.05 tff(16285,plain,
% 3.87/4.05 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[2750, 16284])).
% 3.87/4.05 tff(16286,plain,
% 3.87/4.05 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[9109, 1028, 5, 15969, 16213])).
% 3.87/4.05 tff(16287,plain,
% 3.87/4.05 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[2750, 16286])).
% 3.87/4.05 tff(16288,plain,
% 3.87/4.05 (~r(s(s(s(z))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[14744, 1028, 15969, 1027])).
% 3.87/4.05 tff(16289,plain,
% 3.87/4.05 (b(s(s(s(z))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[2303, 16288])).
% 3.87/4.05 tff(16290,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[2313, 16289, 16287, 1065, 191])).
% 3.87/4.05 tff(16291,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16292,plain,
% 3.87/4.05 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16291, 16281, 16251, 16271, 5])).
% 3.87/4.05 tff(16293,plain,
% 3.87/4.05 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[1042, 16292])).
% 3.87/4.05 tff(16294,plain,
% 3.87/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.87/4.05 inference(rewrite,[status(thm)],[])).
% 3.87/4.05 tff(16295,plain,
% 3.87/4.05 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(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(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.87/4.05 inference(rewrite,[status(thm)],[])).
% 3.87/4.05 tff(16296,plain,
% 3.87/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))))),
% 3.87/4.05 inference(monotonicity,[status(thm)],[16295])).
% 3.87/4.05 tff(16297,plain,
% 3.87/4.05 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))))),
% 3.87/4.05 inference(transitivity,[status(thm)],[16296, 16294])).
% 3.87/4.05 tff(16298,plain,
% 3.87/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(z), s(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)))),
% 3.87/4.05 inference(quant_inst,[status(thm)],[])).
% 3.87/4.05 tff(16299,plain,
% 3.87/4.05 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z)))))),
% 3.87/4.05 inference(modus_ponens,[status(thm)],[16298, 16297])).
% 3.87/4.05 tff(16300,plain,
% 3.87/4.05 ($false),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16299, 213, 16215, 15259, 16251, 16293, 16271, 16247, 16285])).
% 3.87/4.05 tff(16301,plain,((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.05 tff(16302,plain,
% 3.87/4.05 (~r(s(z), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[16301, 5])).
% 3.87/4.05 tff(16303,plain,
% 3.87/4.05 (b(s(z), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[3759, 16302])).
% 3.87/4.05 tff(16304,plain,
% 3.87/4.05 (~b(z, s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15791, 16303, 16215])).
% 3.87/4.05 tff(16305,plain,
% 3.87/4.05 (r(z, s(s(s(s(z)))))),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[5013, 16304])).
% 3.87/4.05 tff(16306,plain,
% 3.87/4.05 (~b(s(s(s(s(z)))), z)),
% 3.87/4.05 inference(unit_resolution,[status(thm)],[15517, 16303, 16215])).
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% 3.87/4.06 inference(quant_inst,[status(thm)],[])).
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% 3.87/4.06 tff(16362,plain,
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% 3.87/4.06 tff(16364,plain,
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% 3.87/4.06 inference(modus_ponens,[status(thm)],[16377, 16376])).
% 3.87/4.06 tff(16379,plain,
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% 3.87/4.06 tff(16380,plain,((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
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% 3.87/4.06 tff(16401,plain,
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% 3.87/4.06 inference(unit_resolution,[status(thm)],[4243, 16402])).
% 3.87/4.06 tff(16404,plain,
% 3.87/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.06 inference(rewrite,[status(thm)],[])).
% 3.87/4.06 tff(16405,plain,
% 3.87/4.06 (((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.06 inference(rewrite,[status(thm)],[])).
% 3.87/4.06 tff(16406,plain,
% 3.87/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.87/4.06 inference(monotonicity,[status(thm)],[16405])).
% 3.87/4.06 tff(16407,plain,
% 3.87/4.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.07 inference(transitivity,[status(thm)],[16406, 16404])).
% 3.87/4.07 tff(16408,plain,
% 3.87/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.07 inference(quant_inst,[status(thm)],[])).
% 3.87/4.07 tff(16409,plain,
% 3.87/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.87/4.07 inference(modus_ponens,[status(thm)],[16408, 16407])).
% 3.87/4.07 tff(16410,plain,
% 3.87/4.07 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16409, 213, 3771, 506, 3, 2812, 867, 1016])).
% 3.87/4.07 tff(16411,plain,
% 3.87/4.07 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[484, 16410])).
% 3.87/4.07 tff(16412,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.87/4.07 inference(rewrite,[status(thm)],[])).
% 3.87/4.07 tff(16413,plain,
% 3.87/4.07 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.87/4.07 inference(rewrite,[status(thm)],[])).
% 3.87/4.07 tff(16414,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))))),
% 3.87/4.07 inference(monotonicity,[status(thm)],[16413])).
% 3.87/4.07 tff(16415,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.87/4.07 inference(transitivity,[status(thm)],[16414, 16412])).
% 3.87/4.07 tff(16416,plain,
% 3.87/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.07 inference(quant_inst,[status(thm)],[])).
% 3.87/4.07 tff(16417,plain,
% 3.87/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))),
% 3.87/4.07 inference(modus_ponens,[status(thm)],[16416, 16415])).
% 3.87/4.07 tff(16418,plain,
% 3.87/4.07 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16417, 213, 3771, 856, 283, 2812, 867])).
% 3.87/4.07 tff(16419,plain,
% 3.87/4.07 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[653, 16418])).
% 3.87/4.07 tff(16420,plain,
% 3.87/4.07 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[7190, 76, 706, 1028, 16328])).
% 3.87/4.07 tff(16421,plain,
% 3.87/4.07 ($false),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16420, 16419, 16411])).
% 3.87/4.07 tff(16422,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.07 tff(16423,plain,
% 3.87/4.07 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16422, 283, 1028, 3771, 856, 706, 867, 506, 3, 16333])).
% 3.87/4.07 tff(16424,plain,
% 3.87/4.07 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[627, 16423])).
% 3.87/4.07 tff(16425,plain,
% 3.87/4.07 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[5669, 76, 706, 691, 16328])).
% 3.87/4.07 tff(16426,plain,
% 3.87/4.07 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16425, 16424])).
% 3.87/4.07 tff(16427,plain,
% 3.87/4.07 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[653, 16426])).
% 3.87/4.07 tff(16428,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.07 inference(rewrite,[status(thm)],[])).
% 3.87/4.07 tff(16429,plain,
% 3.87/4.07 (((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z)))))) <=> ((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.07 inference(rewrite,[status(thm)],[])).
% 3.87/4.07 tff(16430,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.87/4.07 inference(monotonicity,[status(thm)],[16429])).
% 3.87/4.07 tff(16431,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.07 inference(transitivity,[status(thm)],[16430, 16428])).
% 3.87/4.07 tff(16432,plain,
% 3.87/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))))),
% 3.87/4.07 inference(quant_inst,[status(thm)],[])).
% 3.87/4.07 tff(16433,plain,
% 3.87/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.87/4.07 inference(modus_ponens,[status(thm)],[16432, 16431])).
% 3.87/4.07 tff(16434,plain,
% 3.87/4.07 ($false),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16433, 213, 3771, 16427, 856, 283, 867, 16333])).
% 3.87/4.07 tff(16435,plain,((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.07 tff(16436,plain,
% 3.87/4.07 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16435, 16403, 856, 3771, 16393, 691, 1028, 16342, 3])).
% 3.87/4.07 tff(16437,plain,
% 3.87/4.07 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[279, 16436])).
% 3.87/4.07 tff(16438,plain,
% 3.87/4.07 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[15963, 16437, 691, 16335, 16328])).
% 3.87/4.07 tff(16439,plain,
% 3.87/4.07 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[819, 16438])).
% 3.87/4.07 tff(16440,plain,
% 3.87/4.07 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[4472, 16437, 16331, 9, 6])).
% 3.87/4.07 tff(16441,plain,
% 3.87/4.07 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[436, 16440])).
% 3.87/4.07 tff(16442,plain,
% 3.87/4.07 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16363, 16441, 16395, 16439, 16337])).
% 3.87/4.07 tff(16443,plain,
% 3.87/4.07 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[484, 16442])).
% 3.87/4.07 tff(16444,plain,
% 3.87/4.07 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[7190, 76, 16393, 1028, 16328])).
% 3.87/4.07 tff(16445,plain,
% 3.87/4.07 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16444, 16443])).
% 3.87/4.07 tff(16446,plain,
% 3.87/4.07 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[653, 16445])).
% 3.87/4.07 tff(16447,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.07 inference(rewrite,[status(thm)],[])).
% 3.87/4.07 tff(16448,plain,
% 3.87/4.07 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.07 inference(rewrite,[status(thm)],[])).
% 3.87/4.07 tff(16449,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))))),
% 3.87/4.07 inference(monotonicity,[status(thm)],[16448])).
% 3.87/4.07 tff(16450,plain,
% 3.87/4.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.07 inference(transitivity,[status(thm)],[16449, 16447])).
% 3.87/4.07 tff(16451,plain,
% 3.87/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.07 inference(quant_inst,[status(thm)],[])).
% 3.87/4.07 tff(16452,plain,
% 3.87/4.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z))),
% 3.87/4.07 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 3.87/4.07 tff(16453,plain,
% 3.87/4.07 ($false),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16452, 213, 16342, 16446, 16403, 16333, 16439, 16337])).
% 3.87/4.07 tff(16454,plain,((~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.07 tff(16455,plain,
% 3.87/4.07 (~r(z, s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16454, 6, 9, 1028, 856, 3771, 3])).
% 3.87/4.07 tff(16456,plain,
% 3.87/4.07 (b(z, s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[581, 16455])).
% 3.87/4.07 tff(16457,plain,
% 3.87/4.07 (~b(s(s(s(z))), z)),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[6460, 16456, 856, 3771])).
% 3.87/4.07 tff(16458,plain,
% 3.87/4.07 (r(s(s(s(z))), z)),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[2303, 16457])).
% 3.87/4.07 tff(16459,plain,
% 3.87/4.07 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[12207, 16458, 9, 16328])).
% 3.87/4.07 tff(16460,plain,
% 3.87/4.07 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[596, 16459])).
% 3.87/4.07 tff(16461,plain,
% 3.87/4.07 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[6303, 155, 117, 2296, 12])).
% 3.87/4.07 tff(16462,plain,
% 3.87/4.07 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[1871, 16461])).
% 3.87/4.07 tff(16463,plain,
% 3.87/4.07 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[6618, 155, 1028, 6, 2296])).
% 3.87/4.07 tff(16464,plain,
% 3.87/4.07 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[2750, 16463])).
% 3.87/4.07 tff(16465,plain,
% 3.87/4.07 ($false),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[4642, 16464, 16462, 16310, 506])).
% 3.87/4.07 tff(16466,plain,((~r(s(s(s(s(z)))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.07 tff(16467,plain,
% 3.87/4.07 (~r(s(s(s(s(z)))), z)),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16466, 16460, 1028, 6, 16458, 16331, 16328])).
% 3.87/4.07 tff(16468,plain,
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% 3.87/4.07 tff(16470,plain,
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% 3.87/4.07 inference(monotonicity,[status(thm)],[16478])).
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% 3.87/4.07 inference(transitivity,[status(thm)],[16479, 16477])).
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% 3.87/4.07 tff(16482,plain,
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% 3.87/4.07 inference(modus_ponens,[status(thm)],[16481, 16480])).
% 3.87/4.07 tff(16483,plain,
% 3.87/4.07 ($false),
% 3.87/4.07 inference(unit_resolution,[status(thm)],[16482, 213, 3771, 1065, 856, 283, 2812, 747])).
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% 3.87/4.08 tff(16485,plain,
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% 3.87/4.08 tff(16486,plain,
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% 3.87/4.08 tff(16489,plain,
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% 3.87/4.08 tff(16496,plain,
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% 3.87/4.08 tff(16497,plain,
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% 3.87/4.08 tff(16501,plain,
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% 3.87/4.08 tff(16502,plain,
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% 3.87/4.08 tff(16503,plain,
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% 3.87/4.08 tff(16504,plain,
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% 3.87/4.08 tff(16507,plain,
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% 3.87/4.08 tff(16510,plain,
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% 3.87/4.08 tff(16515,plain,
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% 3.87/4.08 tff(16517,plain,
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% 3.87/4.08 tff(16519,plain,
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% 3.87/4.08 tff(16522,plain,
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% 3.87/4.08 inference(rewrite,[status(thm)],[])).
% 3.87/4.08 tff(16524,plain,
% 3.87/4.08 (((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.08 inference(rewrite,[status(thm)],[])).
% 3.87/4.08 tff(16525,plain,
% 3.87/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.87/4.08 inference(monotonicity,[status(thm)],[16524])).
% 3.87/4.08 tff(16526,plain,
% 3.87/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.08 inference(transitivity,[status(thm)],[16525, 16523])).
% 3.87/4.08 tff(16527,plain,
% 3.87/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.08 inference(quant_inst,[status(thm)],[])).
% 3.87/4.08 tff(16528,plain,
% 3.87/4.08 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.87/4.08 inference(modus_ponens,[status(thm)],[16527, 16526])).
% 3.87/4.08 tff(16529,plain,
% 3.87/4.08 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[16528, 76, 6, 1028, 690])).
% 3.87/4.08 tff(16530,plain,
% 3.87/4.08 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[16529, 598])).
% 3.87/4.08 tff(16531,plain,
% 3.87/4.08 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[316, 16530])).
% 3.87/4.08 tff(16532,plain,
% 3.87/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.08 inference(rewrite,[status(thm)],[])).
% 3.87/4.08 tff(16533,plain,
% 3.87/4.08 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.08 inference(rewrite,[status(thm)],[])).
% 3.87/4.08 tff(16534,plain,
% 3.87/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.87/4.08 inference(monotonicity,[status(thm)],[16533])).
% 3.87/4.08 tff(16535,plain,
% 3.87/4.08 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.08 inference(transitivity,[status(thm)],[16534, 16532])).
% 3.87/4.08 tff(16536,plain,
% 3.87/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.87/4.08 inference(quant_inst,[status(thm)],[])).
% 3.87/4.08 tff(16537,plain,
% 3.87/4.08 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.08 inference(modus_ponens,[status(thm)],[16536, 16535])).
% 3.87/4.08 tff(16538,plain,
% 3.87/4.08 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[16537, 213, 15259, 3, 16310, 831, 16531])).
% 3.87/4.08 tff(16539,plain,
% 3.87/4.08 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[338, 16538])).
% 3.87/4.08 tff(16540,plain,
% 3.87/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.08 inference(rewrite,[status(thm)],[])).
% 3.87/4.08 tff(16541,plain,
% 3.87/4.08 (((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.08 inference(rewrite,[status(thm)],[])).
% 3.87/4.08 tff(16542,plain,
% 3.87/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(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(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.08 inference(monotonicity,[status(thm)],[16541])).
% 3.87/4.08 tff(16543,plain,
% 3.87/4.08 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.08 inference(transitivity,[status(thm)],[16542, 16540])).
% 3.87/4.08 tff(16544,plain,
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% 3.87/4.08 inference(quant_inst,[status(thm)],[])).
% 3.87/4.08 tff(16545,plain,
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% 3.87/4.08 inference(modus_ponens,[status(thm)],[16544, 16543])).
% 3.87/4.08 tff(16546,plain,
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% 3.87/4.08 inference(unit_resolution,[status(thm)],[16545, 76, 16331, 252, 598, 16539, 9])).
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% 3.87/4.08 tff(16548,plain,
% 3.87/4.08 ($false),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[16547, 16522, 16345, 9, 3, 831, 6, 1028, 598])).
% 3.87/4.08 tff(16549,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.08 tff(16550,plain,
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% 3.87/4.08 tff(16551,plain,
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% 3.87/4.08 inference(unit_resolution,[status(thm)],[610, 16550])).
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% 3.87/4.08 inference(rewrite,[status(thm)],[])).
% 3.87/4.08 tff(16553,plain,
% 3.87/4.08 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.87/4.08 inference(rewrite,[status(thm)],[])).
% 3.87/4.08 tff(16554,plain,
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% 3.87/4.08 inference(monotonicity,[status(thm)],[16553])).
% 3.87/4.08 tff(16555,plain,
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% 3.87/4.08 inference(transitivity,[status(thm)],[16554, 16552])).
% 3.87/4.08 tff(16556,plain,
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% 3.87/4.08 inference(quant_inst,[status(thm)],[])).
% 3.87/4.08 tff(16557,plain,
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% 3.87/4.08 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 3.87/4.08 tff(16558,plain,
% 3.87/4.08 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[16557, 76, 16520, 9, 16328])).
% 3.87/4.08 tff(16559,plain,
% 3.87/4.08 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[16558, 16551])).
% 3.87/4.08 tff(16560,plain,
% 3.87/4.08 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[653, 16559])).
% 3.87/4.08 tff(16561,plain,
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% 3.87/4.08 inference(unit_resolution,[status(thm)],[15472, 16468, 3771])).
% 3.87/4.08 tff(16562,plain,
% 3.87/4.08 (r(z, s(s(s(s(z)))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[5013, 16561])).
% 3.87/4.08 tff(16563,plain,
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% 3.87/4.08 inference(unit_resolution,[status(thm)],[4443, 76, 350, 10, 117, 706, 282])).
% 3.87/4.08 tff(16564,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.08 tff(16565,plain,
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% 3.87/4.08 tff(16566,plain,
% 3.87/4.08 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.87/4.08 tff(16567,plain,
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% 3.87/4.08 tff(16568,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.08 tff(16569,plain,
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% 3.87/4.08 tff(16570,plain,
% 3.87/4.08 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[153, 16569])).
% 3.87/4.08 tff(16571,plain,
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% 3.87/4.08 tff(16572,plain,
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% 3.87/4.08 tff(16573,plain,
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% 3.87/4.08 tff(16574,plain,
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% 3.87/4.08 tff(16575,plain,
% 3.87/4.08 (~r(z, s(s(s(s(s(s(s(z))))))))),
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% 3.87/4.08 tff(16576,plain,
% 3.87/4.08 (b(z, s(s(s(s(s(s(s(z))))))))),
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% 3.87/4.08 tff(16577,plain,
% 3.87/4.08 (~r(z, s(s(s(s(z)))))),
% 3.87/4.08 inference(unit_resolution,[status(thm)],[16351, 16574, 16331, 16572, 16328])).
% 3.87/4.08 tff(16578,plain,
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% 3.87/4.08 tff(16579,plain,
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% 3.87/4.08 tff(16581,plain,
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% 3.87/4.08 tff(16582,plain,
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% 3.87/4.08 tff(16583,plain,
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% 3.87/4.08 tff(16584,plain,
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% 3.87/4.08 tff(16585,plain,
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% 3.87/4.08 tff(16587,plain,
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% 3.87/4.08 tff(16588,plain,
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% 3.87/4.09 tff(16590,plain,((~b(z, s(z))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16591,plain,
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% 3.87/4.09 inference(unit_resolution,[status(thm)],[11491, 213, 16600, 16310, 16570, 16598])).
% 3.87/4.09 tff(16602,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16603,plain,
% 3.87/4.09 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16602, 856, 9, 3771, 3])).
% 3.87/4.09 tff(16604,plain,
% 3.87/4.09 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[1042, 16603])).
% 3.87/4.09 tff(16605,plain,
% 3.87/4.09 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[2366, 16604, 3, 856])).
% 3.87/4.09 tff(16606,plain,
% 3.87/4.09 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[596, 16605])).
% 3.87/4.09 tff(16607,plain,
% 3.87/4.09 (~r(s(s(s(z))), z)),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[12207, 16606, 9, 16328])).
% 3.87/4.09 tff(16608,plain,
% 3.87/4.09 (b(s(s(s(z))), z)),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[2303, 16607])).
% 3.87/4.09 tff(16609,plain,
% 3.87/4.09 (~b(z, s(z))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[3821, 16608, 856, 3771])).
% 3.87/4.09 tff(16610,plain,
% 3.87/4.09 (r(z, s(z))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[370, 16609])).
% 3.87/4.09 tff(16611,plain,
% 3.87/4.09 (~b(z, s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[6460, 16608, 856, 3771])).
% 3.87/4.09 tff(16612,plain,
% 3.87/4.09 (r(z, s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[581, 16611])).
% 3.87/4.09 tff(16613,plain,
% 3.87/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 3.87/4.09 inference(rewrite,[status(thm)],[])).
% 3.87/4.09 tff(16614,plain,
% 3.87/4.09 (((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z)))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 3.87/4.09 inference(rewrite,[status(thm)],[])).
% 3.87/4.09 tff(16615,plain,
% 3.87/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))))),
% 3.87/4.09 inference(monotonicity,[status(thm)],[16614])).
% 3.87/4.09 tff(16616,plain,
% 3.87/4.09 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z))))))),
% 3.87/4.09 inference(transitivity,[status(thm)],[16615, 16613])).
% 3.87/4.09 tff(16617,plain,
% 3.87/4.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))))),
% 3.87/4.09 inference(quant_inst,[status(thm)],[])).
% 3.87/4.09 tff(16618,plain,
% 3.87/4.09 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z))) | (~r(z, s(s(s(z)))))),
% 3.87/4.09 inference(modus_ponens,[status(thm)],[16617, 16616])).
% 3.87/4.09 tff(16619,plain,
% 3.87/4.09 ($false),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16618, 76, 350, 738, 691, 9, 12])).
% 3.87/4.09 tff(16620,plain,((~r(z, s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16621,plain,
% 3.87/4.09 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16620, 16610, 16612, 9, 16328])).
% 3.87/4.09 tff(16622,plain,
% 3.87/4.09 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[233, 16621])).
% 3.87/4.09 tff(16623,plain,
% 3.87/4.09 (~r(z, s(s(s(s(z)))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16351, 16612, 16331, 16610, 16328])).
% 3.87/4.09 tff(16624,plain,
% 3.87/4.09 (b(z, s(s(s(s(z)))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[5013, 16623])).
% 3.87/4.09 tff(16625,plain,
% 3.87/4.09 ($false),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[11491, 213, 5015, 16310, 203, 202])).
% 3.87/4.09 tff(16626,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16627,plain,
% 3.87/4.09 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16626, 16624, 16622])).
% 3.87/4.09 tff(16628,plain,
% 3.87/4.09 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[153, 16627])).
% 3.87/4.09 tff(16629,plain,
% 3.87/4.09 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[15578, 16628, 16606, 16612, 16328, 16331, 16610])).
% 3.87/4.09 tff(16630,plain,
% 3.87/4.09 (~b(s(s(s(s(z)))), z)),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[15472, 16624, 3771])).
% 3.87/4.09 tff(16631,plain,
% 3.87/4.09 (r(s(s(s(s(z)))), z)),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[170, 16630])).
% 3.87/4.09 tff(16632,plain,
% 3.87/4.09 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[5352, 16628, 16606, 16612, 16631])).
% 3.87/4.09 tff(16633,plain,
% 3.87/4.09 ($false),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[2750, 16632, 16629])).
% 3.87/4.09 tff(16634,plain,((~b(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16635,plain,
% 3.87/4.09 (~b(s(z), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16634, 16325, 3771, 3])).
% 3.87/4.09 tff(16636,plain,
% 3.87/4.09 (r(s(z), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[564, 16635])).
% 3.87/4.09 tff(16637,plain,
% 3.87/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.87/4.09 inference(rewrite,[status(thm)],[])).
% 3.87/4.09 tff(16638,plain,
% 3.87/4.09 (((~b(z, s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))) <=> ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.87/4.09 inference(rewrite,[status(thm)],[])).
% 3.87/4.09 tff(16639,plain,
% 3.87/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))))),
% 3.87/4.09 inference(monotonicity,[status(thm)],[16638])).
% 3.87/4.09 tff(16640,plain,
% 3.87/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.87/4.09 inference(transitivity,[status(thm)],[16639, 16637])).
% 3.87/4.09 tff(16641,plain,
% 3.87/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))))),
% 3.87/4.09 inference(quant_inst,[status(thm)],[])).
% 3.87/4.09 tff(16642,plain,
% 3.87/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z))))))),
% 3.87/4.09 inference(modus_ponens,[status(thm)],[16641, 16640])).
% 3.87/4.09 tff(16643,plain,
% 3.87/4.09 ($false),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16642, 213, 3771, 1, 15259, 3, 16310])).
% 3.87/4.09 tff(16644,plain,((~b(z, s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16645,plain,
% 3.87/4.09 (~b(z, s(z))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16644, 3771, 3])).
% 3.87/4.09 tff(16646,plain,
% 3.87/4.09 (r(z, s(z))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[370, 16645])).
% 3.87/4.09 tff(16647,plain,
% 3.87/4.09 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[1992, 1028, 1027, 9])).
% 3.87/4.09 tff(16648,plain,
% 3.87/4.09 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[596, 16647])).
% 3.87/4.09 tff(16649,plain,
% 3.87/4.09 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[6435, 1028, 117, 9, 1027])).
% 3.87/4.09 tff(16650,plain,
% 3.87/4.09 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[1871, 16649])).
% 3.87/4.09 tff(16651,plain,
% 3.87/4.09 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[6247, 1028, 9, 117, 1027])).
% 3.87/4.09 tff(16652,plain,
% 3.87/4.09 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[153, 16651])).
% 3.87/4.09 tff(16653,plain,
% 3.87/4.09 ($false),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[3622, 16652, 16650, 16310, 16648])).
% 3.87/4.09 tff(16654,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(z))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16655,plain,
% 3.87/4.09 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16654, 16636, 16325, 16331])).
% 3.87/4.09 tff(16656,plain,
% 3.87/4.09 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[1042, 16655])).
% 3.87/4.09 tff(16657,plain,
% 3.87/4.09 (~b(s(z), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16634, 9, 3771, 3])).
% 3.87/4.09 tff(16658,plain,
% 3.87/4.09 (r(s(z), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[564, 16657])).
% 3.87/4.09 tff(16659,plain,
% 3.87/4.09 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[11095, 1, 3, 8, 3771])).
% 3.87/4.09 tff(16660,plain,
% 3.87/4.09 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 3.87/4.09 inference(rewrite,[status(thm)],[])).
% 3.87/4.09 tff(16743,plain,
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% 3.87/4.09 inference(monotonicity,[status(thm)],[16742])).
% 3.87/4.09 tff(16744,plain,
% 3.87/4.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.09 inference(transitivity,[status(thm)],[16743, 16741])).
% 3.87/4.09 tff(16745,plain,
% 3.87/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.87/4.09 inference(quant_inst,[status(thm)],[])).
% 3.87/4.09 tff(16746,plain,
% 3.87/4.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.87/4.09 inference(modus_ponens,[status(thm)],[16745, 16744])).
% 3.87/4.09 tff(16747,plain,
% 3.87/4.09 ($false),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16746, 213, 3771, 281, 16722, 16740, 16730])).
% 3.87/4.09 tff(16748,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), z)) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16749,plain,
% 3.87/4.09 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16748, 203, 3771, 3])).
% 3.87/4.09 tff(16750,plain,
% 3.87/4.09 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[610, 16749])).
% 3.87/4.09 tff(16751,plain,
% 3.87/4.09 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16564, 16750, 16646, 16331, 16732])).
% 3.87/4.09 tff(16752,plain,
% 3.87/4.09 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[819, 16751])).
% 3.87/4.09 tff(16753,plain,
% 3.87/4.09 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[10335, 76, 16331, 16750, 16720, 16724])).
% 3.87/4.09 tff(16754,plain,
% 3.87/4.09 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[4243, 16753])).
% 3.87/4.09 tff(16755,plain,
% 3.87/4.09 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[15333, 76, 16750, 16636, 16720])).
% 3.87/4.09 tff(16756,plain,
% 3.87/4.09 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[653, 16755])).
% 3.87/4.09 tff(16757,plain,
% 3.87/4.09 ($false),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[7172, 16756, 16754, 16722, 16752])).
% 3.87/4.09 tff(16758,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.09 tff(16759,plain,
% 3.87/4.09 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16758, 3771, 3])).
% 3.87/4.09 tff(16760,plain,
% 3.87/4.09 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[153, 16759])).
% 3.87/4.09 tff(16761,plain,
% 3.87/4.09 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[6134, 16760, 16310, 16325, 16636, 16331, 16656])).
% 3.87/4.09 tff(16762,plain,
% 3.87/4.09 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[596, 16761])).
% 3.87/4.09 tff(16763,plain,
% 3.87/4.09 (~b(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[2293, 16762, 16656, 16722])).
% 3.87/4.09 tff(16764,plain,
% 3.87/4.09 (r(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[233, 16763])).
% 3.87/4.09 tff(16765,plain,
% 3.87/4.09 (~r(s(s(s(s(z)))), z)),
% 3.87/4.09 inference(unit_resolution,[status(thm)],[16708, 16762, 16656, 16760])).
% 3.87/4.10 tff(16766,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[170, 16765])).
% 3.87/4.10 tff(16767,plain,
% 3.87/4.10 (~b(z, s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[15472, 16766, 3771])).
% 3.87/4.10 tff(16768,plain,
% 3.87/4.10 (r(z, s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[5013, 16767])).
% 3.87/4.10 tff(16769,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[4693, 76, 16646, 16768, 16331, 16760, 16764])).
% 3.87/4.10 tff(16770,plain,((~b(s(z), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16771,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[16770, 3])).
% 3.87/4.10 tff(16772,plain,
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% 3.87/4.10 tff(16773,plain,
% 3.87/4.10 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[11098, 16314, 16772])).
% 3.87/4.10 tff(16774,plain,
% 3.87/4.10 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[233, 16773])).
% 3.87/4.10 tff(16775,plain,
% 3.87/4.10 (~r(z, s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[11392, 16314, 16331, 16772])).
% 3.87/4.10 tff(16776,plain,
% 3.87/4.10 (b(z, s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[5013, 16775])).
% 3.87/4.10 tff(16777,plain,
% 3.87/4.10 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16626, 16776, 16774])).
% 3.87/4.10 tff(16778,plain,
% 3.87/4.10 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[153, 16777])).
% 3.87/4.10 tff(16779,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(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(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.87/4.10 inference(rewrite,[status(thm)],[])).
% 3.87/4.10 tff(16780,plain,
% 3.87/4.10 (((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z))))))) <=> ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.87/4.10 inference(rewrite,[status(thm)],[])).
% 3.87/4.10 tff(16781,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z))))),
% 3.87/4.10 inference(monotonicity,[status(thm)],[16780])).
% 3.87/4.10 tff(16782,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), z)))),
% 3.87/4.10 inference(transitivity,[status(thm)],[16781, 16779])).
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% 3.87/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(z), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(z)))))))),
% 3.87/4.10 inference(quant_inst,[status(thm)],[])).
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% 3.87/4.10 inference(modus_ponens,[status(thm)],[16783, 16782])).
% 3.87/4.10 tff(16785,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16784, 76, 16772, 16331, 16778, 10954, 16314])).
% 3.87/4.10 tff(16786,plain,(~b(s(s(s(s(s(s(s(z))))))), s(z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16787,plain,
% 3.87/4.10 (r(s(s(s(s(s(s(s(z))))))), s(z))),
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% 3.87/4.10 tff(16788,plain,
% 3.87/4.10 ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[8091, 15259])).
% 3.87/4.10 tff(16789,plain,
% 3.87/4.10 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16788, 782, 16310])).
% 3.87/4.10 tff(16790,plain,
% 3.87/4.10 (r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[3417, 16789])).
% 3.87/4.10 tff(16791,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[15975, 782, 16787])).
% 3.87/4.10 tff(16792,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[5013, 16791])).
% 3.87/4.10 tff(16793,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[14299, 2, 16787])).
% 3.87/4.10 tff(16794,plain,
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% 3.87/4.10 tff(16795,plain,
% 3.87/4.10 ((~r(s(z), z)) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1258, 10954])).
% 3.87/4.10 tff(16796,plain,
% 3.87/4.10 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
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% 3.87/4.10 tff(16797,plain,
% 3.87/4.10 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
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% 3.87/4.10 tff(16798,plain,
% 3.87/4.10 ((~b(z, s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(z, s(s(s(s(z))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2864, 15259])).
% 3.87/4.10 tff(16799,plain,
% 3.87/4.10 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16798, 16797, 16794, 782, 16790, 16792])).
% 3.87/4.10 tff(16800,plain,
% 3.87/4.10 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
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% 3.87/4.10 tff(16801,plain,
% 3.87/4.10 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1352, 6, 782, 16787, 16794, 16792, 16790])).
% 3.87/4.10 tff(16802,plain,
% 3.87/4.10 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[596, 16801])).
% 3.87/4.10 tff(16803,plain,
% 3.87/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.10 inference(rewrite,[status(thm)],[])).
% 3.87/4.10 tff(16804,plain,
% 3.87/4.10 (((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.10 inference(rewrite,[status(thm)],[])).
% 3.87/4.10 tff(16805,plain,
% 3.87/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.10 inference(monotonicity,[status(thm)],[16804])).
% 3.87/4.10 tff(16806,plain,
% 3.87/4.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.10 inference(transitivity,[status(thm)],[16805, 16803])).
% 3.87/4.10 tff(16807,plain,
% 3.87/4.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.10 inference(quant_inst,[status(thm)],[])).
% 3.87/4.10 tff(16808,plain,
% 3.87/4.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))),
% 3.87/4.10 inference(modus_ponens,[status(thm)],[16807, 16806])).
% 3.87/4.10 tff(16809,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16808, 213, 782, 15259, 506, 16310, 2350])).
% 3.87/4.10 tff(16810,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16811,plain,
% 3.87/4.10 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16810, 16802, 782])).
% 3.87/4.10 tff(16812,plain,
% 3.87/4.10 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1871, 16811])).
% 3.87/4.10 tff(16813,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1168, 213, 782, 15259, 16310, 467, 717])).
% 3.87/4.10 tff(16814,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16815,plain,
% 3.87/4.10 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16814, 782, 16800])).
% 3.87/4.10 tff(16816,plain,
% 3.87/4.10 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[316, 16815])).
% 3.87/4.10 tff(16817,plain,
% 3.87/4.10 ((~b(s(z), s(s(s(s(z)))))) | (~b(z, s(z))) | (~b(s(s(s(s(z)))), z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1142, 15259])).
% 3.87/4.10 tff(16818,plain,
% 3.87/4.10 (~b(s(s(s(s(z)))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16817, 782, 16794])).
% 3.87/4.10 tff(16819,plain,
% 3.87/4.10 (r(s(s(s(s(z)))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[170, 16818])).
% 3.87/4.10 tff(16820,plain,
% 3.87/4.10 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16708, 16802, 16819, 6])).
% 3.87/4.10 tff(16821,plain,
% 3.87/4.10 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1042, 16820])).
% 3.87/4.10 tff(16822,plain,
% 3.87/4.10 (~r(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[14750, 16821, 16787, 2])).
% 3.87/4.10 tff(16823,plain,
% 3.87/4.10 (b(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[581, 16822])).
% 3.87/4.10 tff(16824,plain,
% 3.87/4.10 (~r(s(s(s(z))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2935, 16812, 16819, 16792])).
% 3.87/4.10 tff(16825,plain,
% 3.87/4.10 (b(s(s(s(z))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2303, 16824])).
% 3.87/4.10 tff(16826,plain,
% 3.87/4.10 (~b(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[8785, 16825, 16794, 16823])).
% 3.87/4.10 tff(16827,plain,
% 3.87/4.10 (r(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[564, 16826])).
% 3.87/4.10 tff(16828,plain,
% 3.87/4.10 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(z), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2853, 15259])).
% 3.87/4.10 tff(16829,plain,
% 3.87/4.10 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16828, 16797, 16794, 782])).
% 3.87/4.10 tff(16830,plain,
% 3.87/4.10 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[610, 16829])).
% 3.87/4.10 tff(16831,plain,
% 3.87/4.10 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[14862, 76, 2, 16787, 10954, 16830])).
% 3.87/4.10 tff(16832,plain,
% 3.87/4.10 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[436, 16831])).
% 3.87/4.10 tff(16833,plain,
% 3.87/4.10 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1385, 213, 16802, 16800, 16832])).
% 3.87/4.10 tff(16834,plain,
% 3.87/4.10 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[653, 16833])).
% 3.87/4.10 tff(16835,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.10 inference(rewrite,[status(thm)],[])).
% 3.87/4.10 tff(16836,plain,
% 3.87/4.10 (((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.10 inference(rewrite,[status(thm)],[])).
% 3.87/4.10 tff(16837,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.87/4.10 inference(monotonicity,[status(thm)],[16836])).
% 3.87/4.10 tff(16838,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(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(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.10 inference(transitivity,[status(thm)],[16837, 16835])).
% 3.87/4.10 tff(16839,plain,
% 3.87/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.87/4.10 inference(quant_inst,[status(thm)],[])).
% 3.87/4.10 tff(16840,plain,
% 3.87/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.87/4.10 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 3.87/4.10 tff(16841,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16840, 76, 16830, 16834, 16827, 16816, 16812])).
% 3.87/4.10 tff(16842,plain,((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16843,plain,
% 3.87/4.10 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16842, 782, 2])).
% 3.87/4.10 tff(16844,plain,
% 3.87/4.10 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[153, 16843])).
% 3.87/4.10 tff(16845,plain,
% 3.87/4.10 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[15211, 16844, 16310, 16800])).
% 3.87/4.10 tff(16846,plain,
% 3.87/4.10 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[596, 16845])).
% 3.87/4.10 tff(16847,plain,
% 3.87/4.10 (~r(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[11469, 16846, 2, 16790])).
% 3.87/4.10 tff(16848,plain,
% 3.87/4.10 (b(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[564, 16847])).
% 3.87/4.10 tff(16849,plain,
% 3.87/4.10 (~r(s(s(s(z))), s(z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[682, 16846, 16787, 16790])).
% 3.87/4.10 tff(16850,plain,
% 3.87/4.10 (b(s(s(s(z))), s(z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[535, 16849])).
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% 3.87/4.10 (~b(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[8680, 16850, 16794, 16848])).
% 3.87/4.10 tff(16852,plain,
% 3.87/4.10 (~r(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[15987, 16850, 782, 16792])).
% 3.87/4.10 tff(16853,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[581, 16852, 16851])).
% 3.87/4.10 tff(16854,plain,((~b(s(z), s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16855,plain,
% 3.87/4.10 (~b(s(z), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16854, 2])).
% 3.87/4.10 tff(16856,plain,
% 3.87/4.10 (r(s(z), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[796, 16855])).
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[11840, 213, 15259, 16310, 203, 4])).
% 3.87/4.10 tff(16858,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16859,plain,
% 3.87/4.10 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16858, 4])).
% 3.87/4.10 tff(16860,plain,
% 3.87/4.10 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[153, 16859])).
% 3.87/4.10 tff(16861,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[15654, 856, 2, 4, 11, 16787])).
% 3.87/4.10 tff(16862,plain,
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% 3.87/4.10 inference(unit_resolution,[status(thm)],[2303, 16861])).
% 3.87/4.10 tff(16863,plain,
% 3.87/4.10 (~b(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[8785, 16862, 16794, 856])).
% 3.87/4.10 tff(16864,plain,
% 3.87/4.10 (r(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[581, 16863])).
% 3.87/4.10 tff(16865,plain,
% 3.87/4.10 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[14750, 16864, 16787, 2])).
% 3.87/4.10 tff(16866,plain,
% 3.87/4.10 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1042, 16865])).
% 3.87/4.10 tff(16867,plain,
% 3.87/4.10 (~b(s(s(s(z))), s(z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[10699, 16866, 4, 856])).
% 3.87/4.10 tff(16868,plain,
% 3.87/4.10 (r(s(s(s(z))), s(z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[535, 16867])).
% 3.87/4.10 tff(16869,plain,
% 3.87/4.10 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[14806, 16868, 16787, 16860, 11])).
% 3.87/4.10 tff(16870,plain,
% 3.87/4.10 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1871, 16869])).
% 3.87/4.10 tff(16871,plain,
% 3.87/4.10 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[5644, 16870, 5015, 16862])).
% 3.87/4.10 tff(16872,plain,
% 3.87/4.10 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2750, 16871])).
% 3.87/4.10 tff(16873,plain,
% 3.87/4.10 (~b(s(s(s(s(z)))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[12379, 16870, 5015, 16862])).
% 3.87/4.10 tff(16874,plain,
% 3.87/4.10 (r(s(s(s(s(z)))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[170, 16873])).
% 3.87/4.10 tff(16875,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16380, 16874, 16872, 16864, 16860])).
% 3.87/4.10 tff(16876,plain,((~b(s(z), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16877,plain,
% 3.87/4.10 (~b(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16876, 11, 5015, 4, 2])).
% 3.87/4.10 tff(16878,plain,
% 3.87/4.10 (r(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[564, 16877])).
% 3.87/4.10 tff(16879,plain,
% 3.87/4.10 (~r(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16255, 16878, 2, 5015, 16856])).
% 3.87/4.10 tff(16880,plain,
% 3.87/4.10 (b(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[581, 16879])).
% 3.87/4.10 tff(16881,plain,
% 3.87/4.10 (~r(s(s(s(z))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[11526, 1556, 6, 11])).
% 3.87/4.10 tff(16882,plain,
% 3.87/4.10 (b(s(s(s(z))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2303, 16881])).
% 3.87/4.10 tff(16883,plain,
% 3.87/4.10 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16283, 1556, 117, 1027])).
% 3.87/4.10 tff(16884,plain,
% 3.87/4.10 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2750, 16883])).
% 3.87/4.10 tff(16885,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[9099, 16884, 16882, 5015, 1065])).
% 3.87/4.10 tff(16886,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16887,plain,
% 3.87/4.10 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16886, 16880, 5015, 16856, 16878, 16860, 11])).
% 3.87/4.10 tff(16888,plain,
% 3.87/4.10 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1871, 16887])).
% 3.87/4.10 tff(16889,plain,
% 3.87/4.10 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[5307, 16888, 5015, 16880])).
% 3.87/4.10 tff(16890,plain,
% 3.87/4.10 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2750, 16889])).
% 3.87/4.10 tff(16891,plain,
% 3.87/4.10 (~b(s(s(s(s(z)))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[5418, 16888, 5015, 16880])).
% 3.87/4.10 tff(16892,plain,
% 3.87/4.10 (r(s(s(s(s(z)))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[170, 16891])).
% 3.87/4.10 tff(16893,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[11773, 76, 16892, 11, 16860, 10954, 16890])).
% 3.87/4.10 tff(16894,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16895,plain,
% 3.87/4.10 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16894, 4, 2, 5015])).
% 3.87/4.10 tff(16896,plain,
% 3.87/4.10 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[596, 16895])).
% 3.87/4.10 tff(16897,plain,
% 3.87/4.10 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[14750, 691, 16787, 2])).
% 3.87/4.10 tff(16898,plain,
% 3.87/4.10 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1042, 16897])).
% 3.87/4.10 tff(16899,plain,
% 3.87/4.10 (~r(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16255, 691, 2, 5015, 16856])).
% 3.87/4.10 tff(16900,plain,
% 3.87/4.10 (b(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[564, 16899])).
% 3.87/4.10 tff(16901,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[7305, 16900, 16898, 4, 16896])).
% 3.87/4.10 tff(16902,plain,((~r(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(z), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16903,plain,
% 3.87/4.10 (~r(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16902, 4, 2, 5015])).
% 3.87/4.10 tff(16904,plain,
% 3.87/4.10 (b(z, s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[581, 16903])).
% 3.87/4.10 tff(16905,plain,
% 3.87/4.10 (~b(s(s(s(z))), s(z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[8680, 856, 16794, 1065])).
% 3.87/4.10 tff(16906,plain,
% 3.87/4.10 (r(s(s(s(z))), s(z))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[535, 16905])).
% 3.87/4.10 tff(16907,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.87/4.10 inference(rewrite,[status(thm)],[])).
% 3.87/4.10 tff(16908,plain,
% 3.87/4.10 (((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.87/4.10 inference(rewrite,[status(thm)],[])).
% 3.87/4.10 tff(16909,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))))),
% 3.87/4.10 inference(monotonicity,[status(thm)],[16908])).
% 3.87/4.10 tff(16910,plain,
% 3.87/4.10 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.87/4.10 inference(transitivity,[status(thm)],[16909, 16907])).
% 3.87/4.10 tff(16911,plain,
% 3.87/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.87/4.10 inference(quant_inst,[status(thm)],[])).
% 3.87/4.10 tff(16912,plain,
% 3.87/4.10 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))),
% 3.87/4.10 inference(modus_ponens,[status(thm)],[16911, 16910])).
% 3.87/4.10 tff(16913,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16912, 76, 2, 16787, 10954, 15678, 16906])).
% 3.87/4.10 tff(16914,plain,((~b(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.10 tff(16915,plain,
% 3.87/4.10 (~b(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16914, 16904, 2, 4, 16896])).
% 3.87/4.10 tff(16916,plain,
% 3.87/4.10 (r(s(z), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[564, 16915])).
% 3.87/4.10 tff(16917,plain,
% 3.87/4.10 (~r(s(s(s(s(z)))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16708, 1507, 506, 6])).
% 3.87/4.10 tff(16918,plain,
% 3.87/4.10 (b(s(s(s(s(z)))), z)),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[170, 16917])).
% 3.87/4.10 tff(16919,plain,
% 3.87/4.10 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[5418, 16918, 5015, 1065])).
% 3.87/4.10 tff(16920,plain,
% 3.87/4.10 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[4214, 1507, 16310, 506])).
% 3.87/4.10 tff(16921,plain,
% 3.87/4.10 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[2750, 16920])).
% 3.87/4.10 tff(16922,plain,
% 3.87/4.10 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[16283, 16921, 117, 1027])).
% 3.87/4.10 tff(16923,plain,
% 3.87/4.10 ($false),
% 3.87/4.10 inference(unit_resolution,[status(thm)],[1871, 16922, 16919])).
% 3.87/4.10 tff(16924,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(z), s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
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% 3.87/4.11 inference(unit_resolution,[status(thm)],[7638, 16966, 16794, 8, 16904])).
% 3.87/4.11 tff(16968,plain,
% 3.87/4.11 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[610, 16967])).
% 3.87/4.11 tff(16969,plain,
% 3.87/4.11 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[12793, 76, 16856, 16860, 16968, 16939])).
% 3.87/4.11 tff(16970,plain,
% 3.87/4.11 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[316, 16969])).
% 3.87/4.11 tff(16971,plain,
% 3.87/4.11 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[12538, 76, 16934, 16860, 10954, 16939])).
% 3.87/4.11 tff(16972,plain,
% 3.87/4.11 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[338, 16971])).
% 3.87/4.11 tff(16973,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.11 inference(rewrite,[status(thm)],[])).
% 3.87/4.11 tff(16974,plain,
% 3.87/4.11 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(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(s(z)))))))))) <=> ((~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.11 inference(rewrite,[status(thm)],[])).
% 3.87/4.11 tff(16975,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.87/4.11 inference(monotonicity,[status(thm)],[16974])).
% 3.87/4.11 tff(16976,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(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(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.11 inference(transitivity,[status(thm)],[16975, 16973])).
% 3.87/4.11 tff(16977,plain,
% 3.87/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(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(s(s(s(z))))))))))) | (~b(s(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(s(z))))))))))),
% 3.87/4.11 inference(quant_inst,[status(thm)],[])).
% 3.87/4.11 tff(16978,plain,
% 3.87/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.87/4.11 inference(modus_ponens,[status(thm)],[16977, 16976])).
% 3.87/4.11 tff(16979,plain,
% 3.87/4.11 ($false),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[16978, 213, 5015, 16310, 16972, 16970, 16936])).
% 3.87/4.11 tff(16980,plain,((~b(s(s(s(z))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~r(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.11 tff(16981,plain,
% 3.87/4.11 (~b(s(s(s(z))), s(z))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[16980, 4, 2, 5015])).
% 3.87/4.11 tff(16982,plain,
% 3.87/4.11 (r(s(s(s(z))), s(z))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[535, 16981])).
% 3.87/4.11 tff(16983,plain,
% 3.87/4.11 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[11631, 155, 16860])).
% 3.87/4.11 tff(16984,plain,
% 3.87/4.11 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[233, 16983])).
% 3.87/4.11 tff(16985,plain,
% 3.87/4.11 ($false),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[16978, 213, 5015, 16310, 464, 717, 202])).
% 3.87/4.11 tff(16986,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.11 tff(16987,plain,
% 3.87/4.11 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[16986, 717, 5015, 16984])).
% 3.87/4.11 tff(16988,plain,
% 3.87/4.11 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[338, 16987])).
% 3.87/4.11 tff(16989,plain,
% 3.87/4.11 ($false),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[12538, 76, 155, 6, 10954, 598, 689])).
% 3.87/4.11 tff(16990,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), z)) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.11 tff(16991,plain,
% 3.87/4.11 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[16990, 16988, 16860, 155])).
% 3.87/4.11 tff(16992,plain,
% 3.87/4.11 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[484, 16991])).
% 3.87/4.11 tff(16993,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.11 inference(rewrite,[status(thm)],[])).
% 3.87/4.11 tff(16994,plain,
% 3.87/4.11 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.11 inference(rewrite,[status(thm)],[])).
% 3.87/4.11 tff(16995,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.87/4.11 inference(monotonicity,[status(thm)],[16994])).
% 3.87/4.11 tff(16996,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.11 inference(transitivity,[status(thm)],[16995, 16993])).
% 3.87/4.11 tff(16997,plain,
% 3.87/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.11 inference(quant_inst,[status(thm)],[])).
% 3.87/4.11 tff(16998,plain,
% 3.87/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.87/4.11 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 3.87/4.11 tff(16999,plain,
% 3.87/4.11 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[16998, 213, 15259, 506, 16992, 4, 717, 2350])).
% 3.87/4.11 tff(17000,plain,
% 3.87/4.11 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.11 inference(unit_resolution,[status(thm)],[4243, 16999])).
% 3.87/4.11 tff(17001,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.11 inference(rewrite,[status(thm)],[])).
% 3.87/4.11 tff(17002,plain,
% 3.87/4.11 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.11 inference(rewrite,[status(thm)],[])).
% 3.87/4.11 tff(17003,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.87/4.11 inference(monotonicity,[status(thm)],[17002])).
% 3.87/4.11 tff(17004,plain,
% 3.87/4.11 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.11 inference(transitivity,[status(thm)],[17003, 17001])).
% 3.87/4.11 tff(17005,plain,
% 3.87/4.11 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.87/4.12 inference(quant_inst,[status(thm)],[])).
% 3.87/4.12 tff(17006,plain,
% 3.87/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.87/4.12 inference(modus_ponens,[status(thm)],[17005, 17004])).
% 3.87/4.12 tff(17007,plain,
% 3.87/4.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[17006, 213, 15259, 506, 16992, 4, 717, 2350])).
% 3.87/4.12 tff(17008,plain,
% 3.87/4.12 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[653, 17007])).
% 3.87/4.12 tff(17009,plain,
% 3.87/4.12 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[8734, 17008, 16787, 12, 1028])).
% 3.87/4.12 tff(17010,plain,
% 3.87/4.12 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[436, 17009])).
% 3.87/4.12 tff(17011,plain,
% 3.87/4.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[14961, 17010, 4, 16992])).
% 3.87/4.12 tff(17012,plain,
% 3.87/4.12 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[610, 17011])).
% 3.87/4.12 tff(17013,plain,
% 3.87/4.12 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[7504, 17010, 4, 16992])).
% 3.87/4.12 tff(17014,plain,
% 3.87/4.12 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[279, 17013])).
% 3.87/4.12 tff(17015,plain,
% 3.87/4.12 ($false),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[1369, 76, 706, 252, 12, 3645])).
% 3.87/4.12 tff(17016,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.12 tff(17017,plain,
% 3.87/4.12 ($false),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[17016, 17014, 17012, 12, 17000])).
% 3.87/4.12 tff(17018,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(s(s(s(s(z)))), z)) | (~b(z, s(s(s(s(z))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.12 tff(17019,plain,
% 3.87/4.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[17018, 16982, 4, 16926, 16896, 16932, 16934, 5015])).
% 3.87/4.12 tff(17020,plain,
% 3.87/4.12 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[316, 17019])).
% 3.87/4.12 tff(17021,plain,
% 3.87/4.12 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[16947, 17020, 16934, 2])).
% 3.87/4.12 tff(17022,plain,
% 3.87/4.12 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[279, 17021])).
% 3.87/4.12 tff(17023,plain,
% 3.87/4.12 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[7504, 467, 4, 283])).
% 3.87/4.12 tff(17024,plain,
% 3.87/4.12 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[436, 17023])).
% 3.87/4.12 tff(17025,plain,
% 3.87/4.12 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[8734, 17024, 16787, 12, 1028])).
% 3.87/4.12 tff(17026,plain,
% 3.87/4.12 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[653, 17025])).
% 3.87/4.12 tff(17027,plain,
% 3.87/4.12 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[11029, 17026, 1065, 17024])).
% 3.87/4.12 tff(17028,plain,
% 3.87/4.12 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[4243, 17027])).
% 3.87/4.12 tff(17029,plain,
% 3.87/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.12 inference(rewrite,[status(thm)],[])).
% 3.87/4.12 tff(17030,plain,
% 3.87/4.12 (((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.12 inference(rewrite,[status(thm)],[])).
% 3.87/4.12 tff(17031,plain,
% 3.87/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.87/4.12 inference(monotonicity,[status(thm)],[17030])).
% 3.87/4.12 tff(17032,plain,
% 3.87/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.87/4.12 inference(transitivity,[status(thm)],[17031, 17029])).
% 3.87/4.12 tff(17033,plain,
% 3.87/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.87/4.12 inference(quant_inst,[status(thm)],[])).
% 3.87/4.12 tff(17034,plain,
% 3.87/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.87/4.12 inference(modus_ponens,[status(thm)],[17033, 17032])).
% 3.87/4.12 tff(17035,plain,
% 3.87/4.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[17034, 213, 506, 1065, 17026, 467, 1016])).
% 3.87/4.12 tff(17036,plain,
% 3.87/4.12 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[627, 17035])).
% 3.87/4.12 tff(17037,plain,
% 3.87/4.12 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[11025, 17036, 17024])).
% 3.87/4.12 tff(17038,plain,
% 3.87/4.12 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[819, 17037])).
% 3.87/4.12 tff(17039,plain,
% 3.87/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.87/4.12 inference(rewrite,[status(thm)],[])).
% 3.87/4.12 tff(17040,plain,
% 3.87/4.12 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.87/4.12 inference(rewrite,[status(thm)],[])).
% 3.87/4.12 tff(17041,plain,
% 3.87/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z)))))))),
% 3.87/4.12 inference(monotonicity,[status(thm)],[17040])).
% 3.87/4.12 tff(17042,plain,
% 3.87/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z))))))),
% 3.87/4.12 inference(transitivity,[status(thm)],[17041, 17039])).
% 3.87/4.12 tff(17043,plain,
% 3.87/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.87/4.12 inference(quant_inst,[status(thm)],[])).
% 3.87/4.12 tff(17044,plain,
% 3.87/4.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(s(s(z)))))),
% 3.87/4.12 inference(modus_ponens,[status(thm)],[17043, 17042])).
% 3.87/4.12 tff(17045,plain,
% 3.87/4.12 ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[17044, 213, 1, 1065, 17026, 283])).
% 3.87/4.12 tff(17046,plain,
% 3.87/4.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[17045, 17038])).
% 3.87/4.12 tff(17047,plain,
% 3.87/4.12 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[610, 17046])).
% 3.87/4.12 tff(17048,plain,
% 3.87/4.12 ($false),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[1584, 76, 16787, 17047, 1028, 17024, 17028])).
% 3.87/4.12 tff(17049,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(z))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(z))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.87/4.12 tff(17050,plain,
% 3.87/4.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[17049, 16926, 16794, 16904, 17022, 16896, 16928, 16982, 4])).
% 3.87/4.12 tff(17051,plain,
% 3.87/4.12 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.87/4.12 inference(unit_resolution,[status(thm)],[484, 17050])).
% 3.87/4.12 tff(17052,plain,
% 3.87/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(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(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.12 inference(rewrite,[status(thm)],[])).
% 3.87/4.12 tff(17053,plain,
% 3.87/4.12 (((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.12 inference(rewrite,[status(thm)],[])).
% 3.87/4.12 tff(17054,plain,
% 3.87/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.87/4.12 inference(monotonicity,[status(thm)],[17053])).
% 3.87/4.12 tff(17055,plain,
% 3.87/4.12 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.87/4.12 inference(transitivity,[status(thm)],[17054, 17052])).
% 3.87/4.12 tff(17056,plain,
% 3.87/4.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.87/4.12 inference(quant_inst,[status(thm)],[])).
% 3.87/4.12 tff(17057,plain,
% 3.87/4.12 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(z), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.87/4.12 inference(modus_ponens,[status(thm)],[17056, 17055])).
% 3.87/4.12 tff(17058,plain,
% 3.87/4.12 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))),
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% 3.87/4.12 tff(17065,plain,
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% 3.87/4.12 tff(17078,plain,((~b(z, s(s(s(s(z)))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.12 tff(17079,plain,
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% 3.97/4.12 inference(unit_resolution,[status(thm)],[17078, 2])).
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% 3.97/4.12 inference(unit_resolution,[status(thm)],[12090, 17090, 17080, 691, 11])).
% 3.97/4.12 tff(17092,plain,
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% 3.97/4.12 inference(unit_resolution,[status(thm)],[233, 17091])).
% 3.97/4.12 tff(17093,plain,
% 3.97/4.12 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[10840, 598, 16787, 11, 17086])).
% 3.97/4.12 tff(17094,plain,
% 3.97/4.12 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[4243, 17093])).
% 3.97/4.12 tff(17095,plain,
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% 3.97/4.12 inference(unit_resolution,[status(thm)],[15654, 856, 2, 17082, 11, 16787])).
% 3.97/4.12 tff(17096,plain,
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% 3.97/4.12 tff(17098,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(z), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.12 tff(17099,plain,
% 3.97/4.12 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[17098, 382, 2])).
% 3.97/4.12 tff(17100,plain,
% 3.97/4.12 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[610, 17099])).
% 3.97/4.12 tff(17101,plain,
% 3.97/4.12 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.97/4.12 tff(17102,plain,
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% 3.97/4.12 tff(17103,plain,
% 3.97/4.12 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[14967, 17102, 691, 598])).
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% 3.97/4.12 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[627, 17103])).
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% 3.97/4.12 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[2251, 382, 17084, 598])).
% 3.97/4.12 tff(17106,plain,
% 3.97/4.12 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.12 inference(unit_resolution,[status(thm)],[338, 17105])).
% 3.97/4.12 tff(17107,plain,
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% 3.97/4.12 inference(unit_resolution,[status(thm)],[163, 17080, 2, 16856])).
% 3.97/4.12 tff(17108,plain,
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% 3.97/4.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17110,plain,
% 3.97/4.13 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17111,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[17110])).
% 3.97/4.13 tff(17112,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.13 inference(transitivity,[status(thm)],[17111, 17109])).
% 3.97/4.13 tff(17113,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(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(s(s(s(z))))))))))))),
% 3.97/4.13 inference(quant_inst,[status(thm)],[])).
% 3.97/4.13 tff(17114,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[17113, 17112])).
% 3.97/4.13 tff(17115,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[17114, 213, 15259, 17108, 17100, 856, 17106, 17104, 1016])).
% 3.97/4.13 tff(17116,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~r(z, s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(z), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(17117,plain,
% 3.97/4.13 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.97/4.13 tff(17118,plain,
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% 3.97/4.13 tff(17119,plain,
% 3.97/4.13 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[9348, 16522])).
% 3.97/4.13 tff(17120,plain,
% 3.97/4.13 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
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% 3.97/4.13 tff(17121,plain,
% 3.97/4.13 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.97/4.13 tff(17122,plain,
% 3.97/4.13 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[279, 17121])).
% 3.97/4.13 tff(17123,plain,
% 3.97/4.13 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[260, 17122, 2, 17080, 16856])).
% 3.97/4.13 tff(17124,plain,
% 3.97/4.13 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[627, 17123])).
% 3.97/4.13 tff(17125,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17126,plain,
% 3.97/4.13 (((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17127,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[17126])).
% 3.97/4.13 tff(17128,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.13 inference(transitivity,[status(thm)],[17127, 17125])).
% 3.97/4.13 tff(17129,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.13 inference(quant_inst,[status(thm)],[])).
% 3.97/4.13 tff(17130,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[17129, 17128])).
% 3.97/4.13 tff(17131,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[17130, 213, 15259, 17108, 281, 856, 17124, 17096, 17120])).
% 3.97/4.13 tff(17132,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(z), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(17133,plain,
% 3.97/4.13 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[17132, 598, 11, 856, 17090, 2, 17094, 17118])).
% 3.97/4.13 tff(17134,plain,
% 3.97/4.13 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[610, 17133])).
% 3.97/4.13 tff(17135,plain,
% 3.97/4.13 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[12793, 76, 16856, 17084, 598])).
% 3.97/4.13 tff(17136,plain,
% 3.97/4.13 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[17135, 17134])).
% 3.97/4.13 tff(17137,plain,
% 3.97/4.13 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[316, 17136])).
% 3.97/4.13 tff(17138,plain,
% 3.97/4.13 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[8160, 76, 11, 16787, 17134, 598])).
% 3.97/4.13 tff(17139,plain,
% 3.97/4.13 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[653, 17138])).
% 3.97/4.13 tff(17140,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17141,plain,
% 3.97/4.13 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17142,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[17141])).
% 3.97/4.13 tff(17143,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.13 inference(transitivity,[status(thm)],[17142, 17140])).
% 3.97/4.13 tff(17144,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.13 inference(quant_inst,[status(thm)],[])).
% 3.97/4.13 tff(17145,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[17144, 17143])).
% 3.97/4.13 tff(17146,plain,
% 3.97/4.13 ($false),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[17145, 213, 16898, 17139, 16310, 17118, 17094, 17137])).
% 3.97/4.13 tff(17147,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(z))))) | (~r(s(z), z)) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.13 tff(17148,plain,
% 3.97/4.13 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[17147, 856, 11, 2, 691])).
% 3.97/4.13 tff(17149,plain,
% 3.97/4.13 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[484, 17148])).
% 3.97/4.13 tff(17150,plain,
% 3.97/4.13 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[14961, 281, 4, 467])).
% 3.97/4.13 tff(17151,plain,
% 3.97/4.13 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[436, 17150])).
% 3.97/4.13 tff(17152,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17153,plain,
% 3.97/4.13 (((~b(s(s(s(s(z)))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17154,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[17153])).
% 3.97/4.13 tff(17155,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.13 inference(transitivity,[status(thm)],[17154, 17152])).
% 3.97/4.13 tff(17156,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.97/4.13 inference(quant_inst,[status(thm)],[])).
% 3.97/4.13 tff(17157,plain,
% 3.97/4.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.97/4.13 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 3.97/4.13 tff(17158,plain,
% 3.97/4.13 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[17157, 213, 1, 15259, 281, 16310, 467, 202])).
% 3.97/4.13 tff(17159,plain,
% 3.97/4.13 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.13 inference(unit_resolution,[status(thm)],[627, 17158])).
% 3.97/4.13 tff(17160,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17161,plain,
% 3.97/4.13 (((~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.13 inference(rewrite,[status(thm)],[])).
% 3.97/4.13 tff(17162,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.97/4.13 inference(monotonicity,[status(thm)],[17161])).
% 3.97/4.13 tff(17163,plain,
% 3.97/4.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.14 inference(transitivity,[status(thm)],[17162, 17160])).
% 3.97/4.14 tff(17164,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.14 inference(quant_inst,[status(thm)],[])).
% 3.97/4.14 tff(17165,plain,
% 3.97/4.14 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(z))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.97/4.14 inference(modus_ponens,[status(thm)],[17164, 17163])).
% 3.97/4.14 tff(17166,plain,
% 3.97/4.14 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[17165, 213, 1, 15259, 281, 16310, 467, 202])).
% 3.97/4.14 tff(17167,plain,
% 3.97/4.14 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[819, 17166])).
% 3.97/4.14 tff(17168,plain,
% 3.97/4.14 ($false),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[11025, 17167, 17159, 17151])).
% 3.97/4.14 tff(17169,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(z, s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.14 tff(17170,plain,
% 3.97/4.14 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[17169, 17149, 16794, 17092, 17082])).
% 3.97/4.14 tff(17171,plain,
% 3.97/4.14 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[610, 17170])).
% 3.97/4.14 tff(17172,plain,
% 3.97/4.14 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[17098, 17171, 2])).
% 3.97/4.14 tff(17173,plain,
% 3.97/4.14 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[436, 17172])).
% 3.97/4.14 tff(17174,plain,
% 3.97/4.14 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[7504, 17173, 17082, 17149])).
% 3.97/4.14 tff(17175,plain,
% 3.97/4.14 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[279, 17174])).
% 3.97/4.14 tff(17176,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(17177,plain,
% 3.97/4.14 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.14 inference(rewrite,[status(thm)],[])).
% 3.97/4.14 tff(17178,plain,
% 3.97/4.14 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.97/4.14 inference(monotonicity,[status(thm)],[17177])).
% 3.97/4.14 tff(17179,plain,
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% 3.97/4.14 inference(transitivity,[status(thm)],[17178, 17176])).
% 3.97/4.14 tff(17180,plain,
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% 3.97/4.14 inference(quant_inst,[status(thm)],[])).
% 3.97/4.14 tff(17181,plain,
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% 3.97/4.14 inference(modus_ponens,[status(thm)],[17180, 17179])).
% 3.97/4.14 tff(17182,plain,
% 3.97/4.14 ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.97/4.14 inference(unit_resolution,[status(thm)],[17181, 213, 16898, 16310, 17149, 17088])).
% 3.97/4.14 tff(17183,plain,
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% 3.97/4.14 tff(17187,plain,
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% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(z), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))))),
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% 3.97/4.15 inference(transitivity,[status(thm)],[17367, 17365])).
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% 3.97/4.15 inference(quant_inst,[status(thm)],[])).
% 3.97/4.15 tff(17370,plain,
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% 3.97/4.15 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 3.97/4.15 tff(17371,plain,
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% 3.97/4.15 tff(17372,plain,
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% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(17374,plain,
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% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(17375,plain,
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% 3.97/4.15 inference(monotonicity,[status(thm)],[17374])).
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% 3.97/4.15 inference(transitivity,[status(thm)],[17375, 17373])).
% 3.97/4.15 tff(17377,plain,
% 3.97/4.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.15 inference(quant_inst,[status(thm)],[])).
% 3.97/4.15 tff(17378,plain,
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% 3.97/4.15 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 3.97/4.15 tff(17379,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[17378, 213, 5015, 15259, 467, 4, 17360, 202])).
% 3.97/4.15 tff(17380,plain,
% 3.97/4.15 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[316, 17379])).
% 3.97/4.15 tff(17381,plain,
% 3.97/4.15 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[5509, 76, 17334, 17332, 706])).
% 3.97/4.15 tff(17382,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17381, 17380, 17372])).
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% 3.97/4.15 tff(17387,plain,
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% 3.97/4.15 tff(17390,plain,
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% 3.97/4.15 tff(17391,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[5644, 17391, 5015, 17350])).
% 3.97/4.15 tff(17393,plain,
% 3.97/4.15 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1871, 17392])).
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% 3.97/4.15 tff(17396,plain,
% 3.97/4.15 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.97/4.15 tff(17397,plain,
% 3.97/4.15 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[653, 17396])).
% 3.97/4.15 tff(17398,plain,
% 3.97/4.15 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
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% 3.97/4.15 tff(17399,plain,
% 3.97/4.15 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17398, 17395])).
% 3.97/4.15 tff(17400,plain,
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% 3.97/4.15 tff(17401,plain,
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% 3.97/4.15 tff(17402,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~b(z, s(s(s(s(z)))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
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% 3.97/4.15 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
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% 3.97/4.15 tff(17405,plain,
% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(17406,plain,
% 3.97/4.15 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.15 inference(rewrite,[status(thm)],[])).
% 3.97/4.15 tff(17407,plain,
% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.97/4.15 inference(monotonicity,[status(thm)],[17406])).
% 3.97/4.15 tff(17408,plain,
% 3.97/4.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.15 inference(transitivity,[status(thm)],[17407, 17405])).
% 3.97/4.15 tff(17409,plain,
% 3.97/4.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(z)))), s(z))) | (~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.97/4.15 inference(quant_inst,[status(thm)],[])).
% 3.97/4.15 tff(17410,plain,
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% 3.97/4.15 inference(modus_ponens,[status(thm)],[17409, 17408])).
% 3.97/4.15 tff(17411,plain,
% 3.97/4.15 ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17410, 213, 5015, 15259, 17357, 17358, 17346])).
% 3.97/4.15 tff(17412,plain,
% 3.97/4.15 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17411, 17404])).
% 3.97/4.15 tff(17413,plain,
% 3.97/4.15 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[627, 17412])).
% 3.97/4.15 tff(17414,plain,
% 3.97/4.15 ((~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17378, 213, 5015, 15259, 17357, 17358, 17346])).
% 3.97/4.15 tff(17415,plain,
% 3.97/4.15 (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17414, 17404])).
% 3.97/4.15 tff(17416,plain,
% 3.97/4.15 (r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[819, 17415])).
% 3.97/4.15 tff(17417,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[11025, 17416, 17413, 17387])).
% 3.97/4.15 tff(17418,plain,((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17419,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17418, 5015, 691])).
% 3.97/4.15 tff(17420,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[596, 17419])).
% 3.97/4.15 tff(17421,plain,
% 3.97/4.15 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16708, 17342, 17332, 17420])).
% 3.97/4.15 tff(17422,plain,
% 3.97/4.15 (r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1042, 17421])).
% 3.97/4.15 tff(17423,plain,
% 3.97/4.15 (~r(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17319, 17422])).
% 3.97/4.15 tff(17424,plain,
% 3.97/4.15 (b(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[564, 17423])).
% 3.97/4.15 tff(17425,plain,
% 3.97/4.15 (~b(s(s(s(z))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[15573, 17424, 17344])).
% 3.97/4.15 tff(17426,plain,
% 3.97/4.15 (r(s(s(s(z))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[535, 17425])).
% 3.97/4.15 tff(17427,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[12818, 76, 16787, 10954, 17422, 691, 17426])).
% 3.97/4.15 tff(17428,plain,((~b(z, s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17429,plain,
% 3.97/4.15 (~b(z, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17428, 691])).
% 3.97/4.15 tff(17430,plain,
% 3.97/4.15 (r(z, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[5013, 17429])).
% 3.97/4.15 tff(17431,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16351, 350, 17330, 691, 17430])).
% 3.97/4.15 tff(17432,plain,
% 3.97/4.15 (b(s(s(s(z))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[535, 17431])).
% 3.97/4.15 tff(17433,plain,
% 3.97/4.15 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[8409, 350, 17330, 17430, 691])).
% 3.97/4.15 tff(17434,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2750, 17433])).
% 3.97/4.15 tff(17435,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[15573, 17434, 17432, 856])).
% 3.97/4.15 tff(17436,plain,((~r(z, s(z))) | (~b(s(z), s(s(s(z))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17437,plain,
% 3.97/4.15 (~r(z, s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17436, 856, 691])).
% 3.97/4.15 tff(17438,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[370, 17437])).
% 3.97/4.15 tff(17439,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[15517, 17438, 17225])).
% 3.97/4.15 tff(17440,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[170, 17439])).
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% 3.97/4.15 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[14048, 17438, 16787, 691, 856])).
% 3.97/4.15 tff(17442,plain,
% 3.97/4.15 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1042, 17441])).
% 3.97/4.15 tff(17443,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[3821, 17438, 17225, 856])).
% 3.97/4.15 tff(17444,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[2303, 17443])).
% 3.97/4.15 tff(17445,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2935, 17444, 17430, 17440])).
% 3.97/4.15 tff(17446,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1871, 17445])).
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% 3.97/4.15 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[7745, 17446, 16310, 17442])).
% 3.97/4.15 tff(17448,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[153, 17447])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[5346, 17446, 16310, 17442])).
% 3.97/4.15 tff(17450,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[2750, 17449])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[17452, 691])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[564, 17453])).
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% 3.97/4.15 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17319, 17454])).
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% 3.97/4.15 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1042, 17455])).
% 3.97/4.15 tff(17457,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[7745, 2350, 16310, 17456])).
% 3.97/4.15 tff(17458,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[153, 17457])).
% 3.97/4.15 tff(17459,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[5346, 2350, 16310, 17456])).
% 3.97/4.15 tff(17460,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2750, 17459])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[16380, 17460, 691, 17458])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[8409, 17460, 17330, 17430, 691])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[370, 17463])).
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% 3.97/4.15 tff(17466,plain,((~b(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17467,plain,
% 3.97/4.15 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17466, 691])).
% 3.97/4.15 tff(17468,plain,
% 3.97/4.15 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1871, 17467])).
% 3.97/4.15 tff(17469,plain,
% 3.97/4.15 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[15997, 17468, 691, 17430])).
% 3.97/4.15 tff(17470,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2750, 17469])).
% 3.97/4.15 tff(17471,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[13182, 1556, 17430, 11])).
% 3.97/4.15 tff(17472,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[2303, 17471])).
% 3.97/4.15 tff(17473,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[10816, 76, 17330, 11, 16787, 1556])).
% 3.97/4.15 tff(17474,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[535, 17473])).
% 3.97/4.15 tff(17475,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[4881, 76, 17430, 691, 17454, 1556])).
% 3.97/4.15 tff(17476,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[370, 17475])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[3892, 17476, 17474, 17225, 17472])).
% 3.97/4.15 tff(17478,plain,((~r(s(s(s(z))), s(s(s(s(z)))))) | (~r(z, s(s(s(z))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17479,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17478, 17468, 691])).
% 3.97/4.15 tff(17480,plain,
% 3.97/4.15 (b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[596, 17479])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[4214, 17480, 17470, 16310, 17456])).
% 3.97/4.15 tff(17482,plain,(~r(z, s(s(s(z))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17483,plain,
% 3.97/4.15 (b(z, s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[581, 17482])).
% 3.97/4.15 tff(17484,plain,
% 3.97/4.15 (~b(s(s(s(z))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6470, 856, 17225, 17483])).
% 3.97/4.15 tff(17485,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[535, 17484])).
% 3.97/4.15 tff(17486,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[6303, 17485, 17330, 17227, 17229])).
% 3.97/4.15 tff(17487,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[1871, 17486])).
% 3.97/4.15 tff(17488,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3622, 17487, 16310, 506])).
% 3.97/4.15 tff(17489,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[153, 17488])).
% 3.97/4.15 tff(17490,plain,
% 3.97/4.15 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16708, 17489, 17227, 506])).
% 3.97/4.15 tff(17491,plain,
% 3.97/4.15 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16466, 17489, 17330, 17227, 506, 17229, 17485])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[1042, 17491, 17490])).
% 3.97/4.15 tff(17493,plain,((~b(s(z), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17494,plain,
% 3.97/4.15 (~b(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17493, 506, 1])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[564, 17494])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[17319, 17495])).
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[1042, 17496])).
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% 3.97/4.15 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16708, 17497, 17227, 506])).
% 3.97/4.15 tff(17499,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[153, 17498])).
% 3.97/4.15 tff(17500,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[3622, 17499, 16310, 506])).
% 3.97/4.15 tff(17501,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[4214, 17497, 16310, 506])).
% 3.97/4.15 tff(17502,plain,
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[2750, 17501])).
% 3.97/4.15 tff(17503,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16283, 17502, 17330, 17495])).
% 3.97/4.15 tff(17504,plain,
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% 3.97/4.15 tff(17505,plain,((~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17506,plain,
% 3.97/4.15 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
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% 3.97/4.15 inference(unit_resolution,[status(thm)],[596, 17506])).
% 3.97/4.15 tff(17508,plain,
% 3.97/4.15 (~r(s(s(s(z))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[682, 17336, 16787, 17507])).
% 3.97/4.15 tff(17509,plain,
% 3.97/4.15 (b(s(s(s(z))), s(z))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[535, 17508])).
% 3.97/4.15 tff(17510,plain,
% 3.97/4.15 (~r(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17319, 1028])).
% 3.97/4.15 tff(17511,plain,
% 3.97/4.15 (b(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[564, 17510])).
% 3.97/4.15 tff(17512,plain,
% 3.97/4.15 (~r(s(s(s(z))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[14325, 1028, 16787, 350])).
% 3.97/4.15 tff(17513,plain,
% 3.97/4.15 (b(s(s(s(z))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2303, 17512])).
% 3.97/4.15 tff(17514,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6460, 17513, 17511, 17483, 17225])).
% 3.97/4.15 tff(17515,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~r(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17516,plain,
% 3.97/4.15 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17515, 17334])).
% 3.97/4.15 tff(17517,plain,
% 3.97/4.15 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1042, 17516])).
% 3.97/4.15 tff(17518,plain,
% 3.97/4.15 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16708, 17517, 17332, 17342])).
% 3.97/4.15 tff(17519,plain,
% 3.97/4.15 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[596, 17518])).
% 3.97/4.15 tff(17520,plain,
% 3.97/4.15 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[11631, 17332, 17342])).
% 3.97/4.15 tff(17521,plain,
% 3.97/4.15 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[233, 17520])).
% 3.97/4.15 tff(17522,plain,
% 3.97/4.15 ((~b(z, s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(z), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[5326, 15259])).
% 3.97/4.15 tff(17523,plain,
% 3.97/4.15 (~b(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17522, 17517, 16310, 17483, 17521, 5015])).
% 3.97/4.15 tff(17524,plain,
% 3.97/4.15 (r(s(z), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[564, 17523])).
% 3.97/4.15 tff(17525,plain,
% 3.97/4.15 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6134, 17524, 16310, 17330, 17342, 17519, 17517])).
% 3.97/4.15 tff(17526,plain,
% 3.97/4.15 (~b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[11862, 17519, 17225, 17330, 17483, 5015])).
% 3.97/4.15 tff(17527,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3417, 17526, 17525])).
% 3.97/4.15 tff(17528,plain,(~b(z, s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17529,plain,
% 3.97/4.15 (r(z, s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[5013, 17528])).
% 3.97/4.15 tff(17530,plain,
% 3.97/4.15 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1504, 1028, 16787, 17483, 1, 17507])).
% 3.97/4.15 tff(17531,plain,
% 3.97/4.15 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3417, 17530])).
% 3.97/4.15 tff(17532,plain,
% 3.97/4.15 (~b(s(s(s(z))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3821, 17511, 17225, 1])).
% 3.97/4.15 tff(17533,plain,
% 3.97/4.15 (r(s(s(s(z))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2303, 17532])).
% 3.97/4.15 tff(17534,plain,
% 3.97/4.15 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[11416, 17533, 17507])).
% 3.97/4.15 tff(17535,plain,
% 3.97/4.15 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[233, 17534])).
% 3.97/4.15 tff(17536,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[16858, 17531])).
% 3.97/4.15 tff(17537,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[153, 17536])).
% 3.97/4.15 tff(17538,plain,
% 3.97/4.15 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[6618, 17537, 1028, 17227, 17533])).
% 3.97/4.15 tff(17539,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2750, 17538])).
% 3.97/4.15 tff(17540,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[14077, 17539, 17535, 16310, 1, 17511, 17531, 17483])).
% 3.97/4.15 tff(17541,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17542,plain,
% 3.97/4.15 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17541, 1])).
% 3.97/4.15 tff(17543,plain,
% 3.97/4.15 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1042, 17542])).
% 3.97/4.15 tff(17544,plain,
% 3.97/4.15 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[7745, 203, 16310, 17543])).
% 3.97/4.15 tff(17545,plain,
% 3.97/4.15 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[1871, 17544])).
% 3.97/4.15 tff(17546,plain,
% 3.97/4.15 (~r(s(s(s(z))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2935, 17545, 17529, 17227])).
% 3.97/4.15 tff(17547,plain,
% 3.97/4.15 (b(s(s(s(z))), z)),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2303, 17546])).
% 3.97/4.15 tff(17548,plain,
% 3.97/4.15 ($false),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[3892, 17547, 17509, 17225, 1])).
% 3.97/4.15 tff(17549,plain,((~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.15 tff(17550,plain,
% 3.97/4.15 (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17549, 1])).
% 3.97/4.15 tff(17551,plain,
% 3.97/4.15 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[153, 17550])).
% 3.97/4.15 tff(17552,plain,
% 3.97/4.15 ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[11773, 76, 17227, 17507, 10954])).
% 3.97/4.15 tff(17553,plain,
% 3.97/4.15 (~r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[17552, 17551])).
% 3.97/4.15 tff(17554,plain,
% 3.97/4.15 (b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[2750, 17553])).
% 3.97/4.15 tff(17555,plain,
% 3.97/4.15 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.15 inference(unit_resolution,[status(thm)],[5346, 17554, 16310, 17543])).
% 3.97/4.16 tff(17556,plain,
% 3.97/4.16 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1871, 17555])).
% 3.97/4.16 tff(17557,plain,
% 3.97/4.16 (~r(s(s(s(z))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[14806, 17556, 16787, 17507, 17551])).
% 3.97/4.16 tff(17558,plain,
% 3.97/4.16 (b(s(s(s(z))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[535, 17557])).
% 3.97/4.16 tff(17559,plain,
% 3.97/4.16 (~r(s(s(s(z))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2935, 17556, 17529, 17227])).
% 3.97/4.16 tff(17560,plain,
% 3.97/4.16 (b(s(s(s(z))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2303, 17559])).
% 3.97/4.16 tff(17561,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[3892, 17560, 17558, 17225, 1])).
% 3.97/4.16 tff(17562,plain,(~b(z, s(z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17563,plain,
% 3.97/4.16 (r(z, s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[370, 17562])).
% 3.97/4.16 tff(17564,plain,
% 3.97/4.16 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17515, 17563])).
% 3.97/4.16 tff(17565,plain,
% 3.97/4.16 (b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1042, 17564])).
% 3.97/4.16 tff(17566,plain,
% 3.97/4.16 (~r(z, s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[8207, 17563, 16787, 17330, 17529])).
% 3.97/4.16 tff(17567,plain,
% 3.97/4.16 (b(z, s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[233, 17566])).
% 3.97/4.16 tff(17568,plain,
% 3.97/4.16 (~b(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2293, 17567, 17565, 17483])).
% 3.97/4.16 tff(17569,plain,
% 3.97/4.16 (r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[596, 17568])).
% 3.97/4.16 tff(17570,plain,
% 3.97/4.16 (~r(s(s(s(z))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[682, 17336, 16787, 17569])).
% 3.97/4.16 tff(17571,plain,
% 3.97/4.16 (b(s(s(s(z))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[535, 17570])).
% 3.97/4.16 tff(17572,plain,
% 3.97/4.16 (~b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[7745, 203, 16310, 17565])).
% 3.97/4.16 tff(17573,plain,
% 3.97/4.16 (r(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1871, 17572])).
% 3.97/4.16 tff(17574,plain,
% 3.97/4.16 (~r(s(s(s(z))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[13182, 17573, 17529, 17569])).
% 3.97/4.16 tff(17575,plain,
% 3.97/4.16 (b(s(s(s(z))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2303, 17574])).
% 3.97/4.16 tff(17576,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[16030, 17575, 17571, 17225, 17483])).
% 3.97/4.16 tff(17577,plain,(~b(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17578,plain,
% 3.97/4.16 (r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[153, 17577])).
% 3.97/4.16 tff(17579,plain,
% 3.97/4.16 (~r(s(s(s(z))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[14806, 1556, 16787, 17569, 17578])).
% 3.97/4.16 tff(17580,plain,
% 3.97/4.16 (b(s(s(s(z))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[535, 17579])).
% 3.97/4.16 tff(17581,plain,
% 3.97/4.16 (~r(s(s(s(z))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[13182, 1556, 17529, 17569])).
% 3.97/4.16 tff(17582,plain,
% 3.97/4.16 (b(s(s(s(z))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2303, 17581])).
% 3.97/4.16 tff(17583,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[16030, 17582, 17580, 17225, 17483])).
% 3.97/4.16 tff(17584,plain,(~r(s(s(s(z))), s(s(s(s(z)))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17585,plain,
% 3.97/4.16 (b(s(s(s(z))), s(s(s(s(z)))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[1871, 17584])).
% 3.97/4.16 tff(17586,plain,
% 3.97/4.16 (~b(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[5346, 17585, 16310, 17565])).
% 3.97/4.16 tff(17587,plain,
% 3.97/4.16 (r(s(s(s(s(z)))), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[2750, 17586])).
% 3.97/4.16 tff(17588,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[11773, 76, 155, 17569, 17578, 10954, 17587])).
% 3.97/4.16 tff(17589,plain,(~r(s(s(s(s(z)))), z)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17590,plain,
% 3.97/4.16 (b(s(s(s(s(z)))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[170, 17589])).
% 3.97/4.16 tff(17591,plain,
% 3.97/4.16 (~b(s(s(s(z))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[16030, 1016, 17225, 17483])).
% 3.97/4.16 tff(17592,plain,
% 3.97/4.16 (r(s(s(s(z))), s(z))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[535, 17591])).
% 3.97/4.16 tff(17593,plain,
% 3.97/4.16 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[682, 17592, 16787, 17569])).
% 3.97/4.16 tff(17594,plain,
% 3.97/4.16 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[3417, 17593])).
% 3.97/4.16 tff(17595,plain,
% 3.97/4.16 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[14961, 467, 4, 281])).
% 3.97/4.16 tff(17596,plain,
% 3.97/4.16 (r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[436, 17595])).
% 3.97/4.16 tff(17597,plain,
% 3.97/4.16 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[11025, 17596, 282])).
% 3.97/4.16 tff(17598,plain,
% 3.97/4.16 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[627, 17597])).
% 3.97/4.16 tff(17599,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17600,plain,
% 3.97/4.16 (((~b(s(s(s(s(z)))), z)) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17601,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17600])).
% 3.97/4.16 tff(17602,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17601, 17599])).
% 3.97/4.16 tff(17603,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17604,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(z), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17603, 17602])).
% 3.97/4.16 tff(17605,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17604, 213, 17225, 17590, 281, 16310, 467, 17598, 4])).
% 3.97/4.16 tff(17606,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17607,plain,
% 3.97/4.16 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17606, 282, 17594, 281])).
% 3.97/4.16 tff(17608,plain,
% 3.97/4.16 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[484, 17607])).
% 3.97/4.16 tff(17609,plain,
% 3.97/4.16 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[10840, 17608, 16787, 17569, 17592])).
% 3.97/4.16 tff(17610,plain,
% 3.97/4.16 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[4243, 17609])).
% 3.97/4.16 tff(17611,plain,
% 3.97/4.16 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[10840, 598, 16787, 17569, 17592])).
% 3.97/4.16 tff(17612,plain,
% 3.97/4.16 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[4243, 17611])).
% 3.97/4.16 tff(17613,plain,
% 3.97/4.16 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[11029, 382, 17483, 17612])).
% 3.97/4.16 tff(17614,plain,
% 3.97/4.16 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[653, 17613])).
% 3.97/4.16 tff(17615,plain,
% 3.97/4.16 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[9347, 76, 17569, 598, 17587])).
% 3.97/4.16 tff(17616,plain,
% 3.97/4.16 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17615, 17614])).
% 3.97/4.16 tff(17617,plain,
% 3.97/4.16 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[316, 17616])).
% 3.97/4.16 tff(17618,plain,
% 3.97/4.16 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[11025, 382, 282])).
% 3.97/4.16 tff(17619,plain,
% 3.97/4.16 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[627, 17618])).
% 3.97/4.16 tff(17620,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17621,plain,
% 3.97/4.16 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17622,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17621])).
% 3.97/4.16 tff(17623,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17622, 17620])).
% 3.97/4.16 tff(17624,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(z))), z)) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17625,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), z))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17624, 17623])).
% 3.97/4.16 tff(17626,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17625, 213, 16310, 17619, 17612, 1016, 17617, 17567, 17585])).
% 3.97/4.16 tff(17627,plain,((~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17628,plain,
% 3.97/4.16 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17627, 17608, 1016, 282])).
% 3.97/4.16 tff(17629,plain,
% 3.97/4.16 (b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[436, 17628])).
% 3.97/4.16 tff(17630,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17631,plain,
% 3.97/4.16 (((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z)))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17632,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17631])).
% 3.97/4.16 tff(17633,plain,
% 3.97/4.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17632, 17630])).
% 3.97/4.16 tff(17634,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17635,plain,
% 3.97/4.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17634, 17633])).
% 3.97/4.16 tff(17636,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17635, 213, 17565, 868, 16310, 831, 867, 17585])).
% 3.97/4.16 tff(17637,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17638,plain,
% 3.97/4.16 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17637, 17629, 17610])).
% 3.97/4.16 tff(17639,plain,
% 3.97/4.16 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[653, 17638])).
% 3.97/4.16 tff(17640,plain,
% 3.97/4.16 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[9347, 76, 17569, 17608, 17587])).
% 3.97/4.16 tff(17641,plain,
% 3.97/4.16 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17640, 17639])).
% 3.97/4.16 tff(17642,plain,
% 3.97/4.16 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[316, 17641])).
% 3.97/4.16 tff(17643,plain,
% 3.97/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17644,plain,
% 3.97/4.16 (((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.97/4.16 inference(rewrite,[status(thm)],[])).
% 3.97/4.16 tff(17645,plain,
% 3.97/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))))),
% 3.97/4.16 inference(monotonicity,[status(thm)],[17644])).
% 3.97/4.16 tff(17646,plain,
% 3.97/4.16 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))))),
% 3.97/4.16 inference(transitivity,[status(thm)],[17645, 17643])).
% 3.97/4.16 tff(17647,plain,
% 3.97/4.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.16 inference(quant_inst,[status(thm)],[])).
% 3.97/4.16 tff(17648,plain,
% 3.97/4.16 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z)))))),
% 3.97/4.16 inference(modus_ponens,[status(thm)],[17647, 17646])).
% 3.97/4.16 tff(17649,plain,
% 3.97/4.16 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17648, 76, 17569, 17578, 17639, 17587])).
% 3.97/4.16 tff(17650,plain,
% 3.97/4.16 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[338, 17649])).
% 3.97/4.16 tff(17651,plain,
% 3.97/4.16 ((~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z)))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[12769, 10954])).
% 3.97/4.16 tff(17652,plain,
% 3.97/4.16 (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17651, 17650, 16310, 16787, 17578, 17563, 17608])).
% 3.97/4.16 tff(17653,plain,
% 3.97/4.16 (b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[627, 17652])).
% 3.97/4.16 tff(17654,plain,
% 3.97/4.16 ($false),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17625, 213, 16310, 17653, 17610, 1016, 17642, 17567, 17585])).
% 3.97/4.16 tff(17655,plain,((~r(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z)))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.16 tff(17656,plain,
% 3.97/4.16 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[17655, 281, 1016])).
% 3.97/4.16 tff(17657,plain,
% 3.97/4.16 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[819, 17656])).
% 3.97/4.16 tff(17658,plain,
% 3.97/4.16 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.16 inference(unit_resolution,[status(thm)],[15951, 17657, 17225, 281])).
% 3.97/4.17 tff(17659,plain,
% 3.97/4.17 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[627, 17658])).
% 3.97/4.17 tff(17660,plain,
% 3.97/4.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17661,plain,
% 3.97/4.17 (((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))) <=> ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17662,plain,
% 3.97/4.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17661])).
% 3.97/4.17 tff(17663,plain,
% 3.97/4.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17662, 17660])).
% 3.97/4.17 tff(17664,plain,
% 3.97/4.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17665,plain,
% 3.97/4.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(s(s(s(z)))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z)) | (~r(s(s(s(s(z)))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z))))))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17664, 17663])).
% 3.97/4.17 tff(17666,plain,
% 3.97/4.17 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17665, 76, 17529, 690, 17587, 13])).
% 3.97/4.17 tff(17667,plain,
% 3.97/4.17 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[316, 17666])).
% 3.97/4.17 tff(17668,plain,
% 3.97/4.17 (~r(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17648, 76, 17569, 17578, 690, 17587])).
% 3.97/4.17 tff(17669,plain,
% 3.97/4.17 (b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[338, 17668])).
% 3.97/4.17 tff(17670,plain,
% 3.97/4.17 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17651, 17669, 16310, 16787, 17578, 17563, 13])).
% 3.97/4.17 tff(17671,plain,
% 3.97/4.17 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[484, 17670])).
% 3.97/4.17 tff(17672,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17673,plain,
% 3.97/4.17 (((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17674,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17673])).
% 3.97/4.17 tff(17675,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17674, 17672])).
% 3.97/4.17 tff(17676,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17677,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(z)))), s(s(s(s(s(s(s(s(s(z)))))))))))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17676, 17675])).
% 3.97/4.17 tff(17678,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17677, 213, 16310, 17671, 17669, 17667])).
% 3.97/4.17 tff(17679,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17680,plain,
% 3.97/4.17 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17679, 17659])).
% 3.97/4.17 tff(17681,plain,
% 3.97/4.17 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[653, 17680])).
% 3.97/4.17 tff(17682,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17683,plain,
% 3.97/4.17 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))) <=> ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17684,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17683])).
% 3.97/4.17 tff(17685,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z)))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17684, 17682])).
% 3.97/4.17 tff(17686,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(z))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17687,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), z))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17686, 17685])).
% 3.97/4.17 tff(17688,plain,
% 3.97/4.17 ($false),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17687, 213, 1507, 1065, 868, 467, 1016])).
% 3.97/4.17 tff(17689,plain,((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17690,plain,
% 3.97/4.17 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17689, 17681, 17483, 1016, 17565])).
% 3.97/4.17 tff(17691,plain,
% 3.97/4.17 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[484, 17690])).
% 3.97/4.17 tff(17692,plain,
% 3.97/4.17 (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[7172, 17681, 17483, 17657])).
% 3.97/4.17 tff(17693,plain,
% 3.97/4.17 (r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[4243, 17692])).
% 3.97/4.17 tff(17694,plain,
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% 3.97/4.17 inference(unit_resolution,[status(thm)],[10840, 17693, 17691, 16787, 17569, 17592])).
% 3.97/4.17 tff(17695,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17696,plain,
% 3.97/4.17 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17695, 1016])).
% 3.97/4.17 tff(17697,plain,
% 3.97/4.17 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[610, 17696])).
% 3.97/4.17 tff(17698,plain,
% 3.97/4.17 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[16564, 17697, 17529, 17330, 17563])).
% 3.97/4.17 tff(17699,plain,
% 3.97/4.17 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[819, 17698])).
% 3.97/4.17 tff(17700,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17701,plain,
% 3.97/4.17 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z)))))))))) <=> ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17702,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17701])).
% 3.97/4.17 tff(17703,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))))),
% 3.97/4.17 inference(transitivity,[status(thm)],[17702, 17700])).
% 3.97/4.17 tff(17704,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.17 inference(quant_inst,[status(thm)],[])).
% 3.97/4.17 tff(17705,plain,
% 3.97/4.17 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z)))))),
% 3.97/4.17 inference(modus_ponens,[status(thm)],[17704, 17703])).
% 3.97/4.17 tff(17706,plain,
% 3.97/4.17 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.97/4.17 tff(17707,plain,
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% 3.97/4.17 tff(17708,plain,
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% 3.97/4.17 tff(17709,plain,
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% 3.97/4.17 tff(17710,plain,
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% 3.97/4.17 tff(17712,plain,
% 3.97/4.17 (~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.97/4.17 tff(17713,plain,
% 3.97/4.17 (r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
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% 3.97/4.17 tff(17714,plain,
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% 3.97/4.17 tff(17715,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.17 tff(17716,plain,
% 3.97/4.17 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[17715, 1016])).
% 3.97/4.17 tff(17717,plain,
% 3.97/4.17 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[484, 17716])).
% 3.97/4.17 tff(17718,plain,
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% 3.97/4.17 tff(17720,plain,
% 3.97/4.17 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
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% 3.97/4.17 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.17 inference(unit_resolution,[status(thm)],[653, 17720])).
% 3.97/4.17 tff(17722,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17723,plain,
% 3.97/4.17 (((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.97/4.17 inference(rewrite,[status(thm)],[])).
% 3.97/4.17 tff(17724,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))))),
% 3.97/4.17 inference(monotonicity,[status(thm)],[17723])).
% 3.97/4.17 tff(17725,plain,
% 3.97/4.17 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(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(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z))))))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17724, 17722])).
% 3.97/4.18 tff(17726,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(z, s(s(s(z))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.18 inference(quant_inst,[status(thm)],[])).
% 3.97/4.18 tff(17727,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(z))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(z, s(s(s(z)))))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17726, 17725])).
% 3.97/4.18 tff(17728,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17727, 213, 191, 17565, 17483, 17721, 16310, 831, 17719])).
% 3.97/4.18 tff(17729,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(s(z)))), z)) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17730,plain,
% 3.97/4.18 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17729, 17717, 17697, 17590])).
% 3.97/4.18 tff(17731,plain,
% 3.97/4.18 (~r(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[8951, 706, 11, 12, 382])).
% 3.97/4.18 tff(17732,plain,
% 3.97/4.18 (b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[4243, 17731])).
% 3.97/4.18 tff(17733,plain,
% 3.97/4.18 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[7172, 17732, 747, 1065])).
% 3.97/4.18 tff(17734,plain,
% 3.97/4.18 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[653, 17733])).
% 3.97/4.18 tff(17735,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[8160, 76, 11, 15, 706, 17734, 598])).
% 3.97/4.18 tff(17736,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(z, s(s(s(z))))) | (~r(s(s(s(z))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17737,plain,
% 3.97/4.18 (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17736, 17717, 16787, 17483, 17592, 17697, 17699, 17569])).
% 3.97/4.18 tff(17738,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[436, 17737, 17730])).
% 3.97/4.18 tff(17739,plain,(~b(s(s(s(z))), z)), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17740,plain,
% 3.97/4.18 (r(s(s(s(z))), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[2303, 17739])).
% 3.97/4.18 tff(17741,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[12351, 76, 17563, 17569, 10954, 12, 2296])).
% 3.97/4.18 tff(17742,plain,((~r(s(s(s(z))), s(z))) | (~r(s(s(s(z))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17743,plain,
% 3.97/4.18 (~r(s(s(s(z))), s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17742, 2296])).
% 3.97/4.18 tff(17744,plain,
% 3.97/4.18 (b(s(s(s(z))), s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[535, 17743])).
% 3.97/4.18 tff(17745,plain,
% 3.97/4.18 (~b(s(z), s(s(s(z))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[6470, 17744, 17225, 17483])).
% 3.97/4.18 tff(17746,plain,
% 3.97/4.18 (r(s(z), s(s(s(z))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[564, 17745])).
% 3.97/4.18 tff(17747,plain,
% 3.97/4.18 (~r(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[6134, 17746, 16310, 17330, 17578, 17569, 17565])).
% 3.97/4.18 tff(17748,plain,
% 3.97/4.18 (b(s(z), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[3417, 17747])).
% 3.97/4.18 tff(17749,plain,
% 3.97/4.18 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[16564, 706, 17529, 17330, 17563])).
% 3.97/4.18 tff(17750,plain,
% 3.97/4.18 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[819, 17749])).
% 3.97/4.18 tff(17751,plain,
% 3.97/4.18 (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[16073, 706, 382, 16787])).
% 3.97/4.18 tff(17752,plain,
% 3.97/4.18 (b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[279, 17751])).
% 3.97/4.18 tff(17753,plain,
% 3.97/4.18 (~b(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17370, 213, 17225, 283, 467, 17748, 17750])).
% 3.97/4.18 tff(17754,plain,
% 3.97/4.18 (r(s(s(s(s(s(s(s(s(s(z))))))))), z)),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[627, 17753])).
% 3.97/4.18 tff(17755,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17756,plain,
% 3.97/4.18 (((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17757,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z)))))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17756])).
% 3.97/4.18 tff(17758,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(z))))) | (~b(s(s(s(z))), s(z))))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17757, 17755])).
% 3.97/4.18 tff(17759,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, 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(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(z, s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))) | (~b(z, s(s(s(z))))) | (~b(z, s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.18 inference(quant_inst,[status(thm)],[])).
% 3.97/4.18 tff(17760,plain,
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% 3.97/4.18 inference(modus_ponens,[status(thm)],[17759, 17758])).
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% 3.97/4.18 tff(17762,plain,
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% 3.97/4.18 tff(17763,plain,
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% 3.97/4.18 inference(unit_resolution,[status(thm)],[4451, 76, 17563, 706, 2296])).
% 3.97/4.18 tff(17764,plain,
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% 3.97/4.18 tff(17765,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~r(s(s(s(z))), z)) | (~b(s(z), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17766,plain,
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% 3.97/4.18 tff(17775,plain,
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% 3.97/4.18 tff(17777,plain,
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% 3.97/4.18 inference(unit_resolution,[status(thm)],[347, 15259])).
% 3.97/4.18 tff(17778,plain,
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% 3.97/4.18 tff(17779,plain,
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% 3.97/4.18 tff(17780,plain,
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% 3.97/4.18 tff(17781,plain,
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% 3.97/4.18 tff(17782,plain,((~b(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(z), s(s(s(s(s(s(s(z)))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17783,plain,
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% 3.97/4.18 tff(17784,plain,
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% 3.97/4.18 tff(17785,plain,
% 3.97/4.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17786,plain,
% 3.97/4.18 (((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z))) <=> ((~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17787,plain,
% 3.97/4.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z)))))))))))))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17786])).
% 3.97/4.18 tff(17788,plain,
% 3.97/4.18 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~r(X2, X3)) | (~r(X0, X3)) | (~r(X1, X2)) | (~r(X0, X2)) | (~r(X0, X1)))) | ((~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(z, s(z))) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(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(s(s(z))))))), z)) | (~r(s(s(s(s(s(s(s(z))))))), s(z))) | (~r(s(z), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))))),
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% 3.97/4.18 tff(17801,plain,
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% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17803,plain,
% 3.97/4.18 (((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))) <=> ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.97/4.18 inference(rewrite,[status(thm)],[])).
% 3.97/4.18 tff(17804,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))))),
% 3.97/4.18 inference(monotonicity,[status(thm)],[17803])).
% 3.97/4.18 tff(17805,plain,
% 3.97/4.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z))))),
% 3.97/4.18 inference(transitivity,[status(thm)],[17804, 17802])).
% 3.97/4.18 tff(17806,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | ((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))))),
% 3.97/4.18 inference(quant_inst,[status(thm)],[])).
% 3.97/4.18 tff(17807,plain,
% 3.97/4.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~b(X3, X4)) | (~b(X1, X4)) | (~b(X0, X4)) | (~b(X2, X3)) | (~b(X1, X2)) | (~b(X0, X2)) | (~b(X0, X1)))) | (~b(s(z), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(z))), s(z)))),
% 3.97/4.18 inference(modus_ponens,[status(thm)],[17806, 17805])).
% 3.97/4.18 tff(17808,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17807, 213, 281, 16310, 8, 17801, 867, 717, 17585])).
% 3.97/4.18 tff(17809,plain,((~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))) | (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))) | (~b(s(s(s(z))), s(z))) | (~b(s(s(s(z))), s(s(s(s(s(s(s(s(s(z)))))))))))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17810,plain,
% 3.97/4.18 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17809, 17797, 17744, 17795])).
% 3.97/4.18 tff(17811,plain,
% 3.97/4.18 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(z)))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[316, 17810])).
% 3.97/4.18 tff(17812,plain,
% 3.97/4.18 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17615, 17811])).
% 3.97/4.18 tff(17813,plain,
% 3.97/4.18 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(z))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[653, 17812])).
% 3.97/4.18 tff(17814,plain,
% 3.97/4.18 ($false),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17635, 213, 17565, 17813, 16310, 831, 17795, 17585])).
% 3.97/4.18 tff(17815,plain,((~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))) | (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.18 tff(17816,plain,
% 3.97/4.18 (~r(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[17815, 831, 2296, 191])).
% 3.97/4.18 tff(17817,plain,
% 3.97/4.18 (b(s(s(s(s(s(s(s(s(s(z))))))))), s(s(s(s(s(s(s(z))))))))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[484, 17816])).
% 3.97/4.18 tff(17818,plain,
% 3.97/4.18 (~b(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.18 inference(unit_resolution,[status(thm)],[14961, 17817, 17748, 831])).
% 3.97/4.19 tff(17819,plain,
% 3.97/4.19 (r(s(s(s(s(s(s(s(s(s(z))))))))), s(z))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[610, 17818])).
% 3.97/4.19 tff(17820,plain,
% 3.97/4.19 (~r(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[16564, 17819, 17529, 17330, 17563])).
% 3.97/4.19 tff(17821,plain,
% 3.97/4.19 (b(z, s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[819, 17820])).
% 3.97/4.19 tff(17822,plain,
% 3.97/4.19 ($false),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17705, 213, 17565, 17483, 17817, 831, 17821, 17567])).
% 3.97/4.19 tff(17823,plain,((~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))) | (~r(s(s(s(z))), z)) | (~b(s(s(s(s(z)))), z))), inference(lemma,lemma(discharge,[]))).
% 3.97/4.19 tff(17824,plain,
% 3.97/4.19 (~b(s(s(s(s(s(s(s(z))))))), s(s(s(s(s(s(s(s(s(z))))))))))),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[17823, 17740, 17590])).
% 3.97/4.19 tff(17825,plain,
% 3.97/4.19 ($false),
% 3.97/4.19 inference(unit_resolution,[status(thm)],[436, 17824, 17793])).
% 3.97/4.19 % SZS output end Proof
% 3.97/4.19 % E exiting
%------------------------------------------------------------------------------