%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SEU444+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 : Sat Jun 21 05:27:59 AM UTC 2025
% Result : Theorem 4.40s 4.59s
% Output : Proof 4.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU444+2 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 07:24:39 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.40/4.59 % SZS status Theorem
% 4.40/4.59 % SZS output start Proof
% 4.40/4.59 tff(k10_relset_1_type, type, (
% 4.40/4.59 k10_relset_1: ( $i * $i * $i * $i ) > $i)).
% 4.40/4.59 tff(k2_funct_5_type, type, (
% 4.40/4.59 k2_funct_5: $i > $i)).
% 4.40/4.59 tff(tptp_fun_C_1208_type, type, (
% 4.40/4.59 tptp_fun_C_1208: $i)).
% 4.40/4.59 tff(k6_relset_1_type, type, (
% 4.40/4.59 k6_relset_1: ( $i * $i * $i ) > $i)).
% 4.40/4.59 tff(tptp_fun_A_1210_type, type, (
% 4.40/4.59 tptp_fun_A_1210: $i)).
% 4.40/4.59 tff(tptp_fun_B_1209_type, type, (
% 4.40/4.59 tptp_fun_B_1209: $i)).
% 4.40/4.59 tff(k1_funct_5_type, type, (
% 4.40/4.59 k1_funct_5: $i > $i)).
% 4.40/4.59 tff(m2_relset_1_type, type, (
% 4.40/4.59 m2_relset_1: ( $i * $i * $i ) > $o)).
% 4.40/4.59 tff(1,plain,
% 4.40/4.59 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C)))))) <=> (~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C))))))),
% 4.40/4.59 inference(rewrite,[status(thm)],[])).
% 4.40/4.59 tff(2,plain,
% 4.40/4.59 ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, B, A) => ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C)))))) <=> (~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C))))))),
% 4.40/4.59 inference(rewrite,[status(thm)],[])).
% 4.40/4.59 tff(3,axiom,(~![A: $i, B: $i, C: $i] : (m2_relset_1(C, B, A) => ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t56_relset_2')).
% 4.40/4.59 tff(4,plain,
% 4.40/4.59 (~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C)))))),
% 4.40/4.59 inference(modus_ponens,[status(thm)],[3, 2])).
% 4.40/4.59 tff(5,plain,
% 4.40/4.59 (~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C)))))),
% 4.40/4.59 inference(modus_ponens,[status(thm)],[4, 1])).
% 4.40/4.59 tff(6,plain,
% 4.40/4.59 (~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C)))))),
% 4.40/4.59 inference(modus_ponens,[status(thm)],[5, 1])).
% 4.40/4.59 tff(7,plain,
% 4.40/4.59 (~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k10_relset_1(A, B, k6_relset_1(B, A, C), k10_relset_1(B, A, C, B)) = k10_relset_1(A, B, k6_relset_1(B, A, C), k2_funct_5(C)))))),
% 4.40/4.59 inference(modus_ponens,[status(thm)],[6, 1])).
% 4.40/4.59 tff(8,plain,(
% 4.40/4.59 ~((~m2_relset_1(C!1208, B!1209, A!1210)) | ((k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210)) & (k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208)))))),
% 4.40/4.59 inference(skolemize,[status(sab)],[7])).
% 4.40/4.59 tff(9,plain,
% 4.40/4.59 (m2_relset_1(C!1208, B!1209, A!1210)),
% 4.40/4.59 inference(or_elim,[status(thm)],[8])).
% 4.40/4.59 tff(10,plain,
% 4.40/4.59 (^[A: $i, B: $i, C: $i] : refl(((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B)))))) <=> ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B)))))))),
% 4.40/4.59 inference(bind,[status(th)],[])).
% 4.40/4.59 tff(11,plain,
% 4.40/4.59 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B)))))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B))))))),
% 4.40/4.59 inference(quant_intro,[status(thm)],[10])).
% 4.40/4.59 tff(12,plain,
% 4.40/4.59 (^[A: $i, B: $i, C: $i] : rewrite(((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B)))) <=> ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B)))))))),
% 4.40/4.59 inference(bind,[status(th)],[])).
% 4.40/4.59 tff(13,plain,
% 4.40/4.59 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B))))))),
% 4.40/4.59 inference(quant_intro,[status(thm)],[12])).
% 4.40/4.59 tff(14,plain,
% 4.40/4.59 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B))))),
% 4.40/4.59 inference(rewrite,[status(thm)],[])).
% 4.40/4.59 tff(15,plain,
% 4.40/4.59 (^[A: $i, B: $i, C: $i] : rewrite((m2_relset_1(C, B, A) => ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B)))) <=> ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B)))))),
% 4.40/4.59 inference(bind,[status(th)],[])).
% 4.40/4.59 tff(16,plain,
% 4.40/4.59 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, B, A) => ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B))))),
% 4.40/4.59 inference(quant_intro,[status(thm)],[15])).
% 4.40/4.59 tff(17,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, B, A) => ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t51_relset_2')).
% 4.40/4.59 tff(18,plain,
% 4.40/4.59 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B))))),
% 4.40/4.59 inference(modus_ponens,[status(thm)],[17, 16])).
% 4.40/4.59 tff(19,plain,
% 4.40/4.59 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B))))),
% 4.40/4.59 inference(modus_ponens,[status(thm)],[18, 14])).
% 4.40/4.59 tff(20,plain,(
% 4.40/4.59 ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | ((k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A)) & (k2_funct_5(C) = k10_relset_1(B, A, C, B))))),
% 4.40/4.59 inference(skolemize,[status(sab)],[19])).
% 4.40/4.59 tff(21,plain,
% 4.40/4.59 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B))))))),
% 4.40/4.59 inference(modus_ponens,[status(thm)],[20, 13])).
% 4.40/4.59 tff(22,plain,
% 4.40/4.59 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B))))))),
% 4.40/4.59 inference(modus_ponens,[status(thm)],[21, 11])).
% 4.40/4.59 tff(23,plain,
% 4.40/4.59 (((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B))))))) | ((~m2_relset_1(C!1208, B!1209, A!1210)) | (~((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B))))))) | (~m2_relset_1(C!1208, B!1209, A!1210)) | (~((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209))))))),
% 4.40/4.60 inference(rewrite,[status(thm)],[])).
% 4.40/4.60 tff(24,plain,
% 4.40/4.60 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B))))))) | ((~m2_relset_1(C!1208, B!1209, A!1210)) | (~((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209))))))),
% 4.40/4.60 inference(quant_inst,[status(thm)],[])).
% 4.40/4.60 tff(25,plain,
% 4.40/4.60 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, B, A)) | (~((~(k1_funct_5(C) = k10_relset_1(A, B, k6_relset_1(B, A, C), A))) | (~(k2_funct_5(C) = k10_relset_1(B, A, C, B))))))) | (~m2_relset_1(C!1208, B!1209, A!1210)) | (~((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209)))))),
% 4.40/4.60 inference(modus_ponens,[status(thm)],[24, 23])).
% 4.40/4.60 tff(26,plain,
% 4.40/4.60 (~((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209))))),
% 4.40/4.60 inference(unit_resolution,[status(thm)],[25, 22, 9])).
% 4.40/4.60 tff(27,plain,
% 4.40/4.60 (((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209)))) | (k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209))),
% 4.40/4.60 inference(tautology,[status(thm)],[])).
% 4.40/4.60 tff(28,plain,
% 4.40/4.60 (k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209)),
% 4.40/4.60 inference(unit_resolution,[status(thm)],[27, 26])).
% 4.40/4.60 tff(29,plain,
% 4.40/4.60 (k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209))),
% 4.40/4.60 inference(monotonicity,[status(thm)],[28])).
% 4.40/4.60 tff(30,plain,
% 4.40/4.60 (k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208))),
% 4.40/4.60 inference(symmetry,[status(thm)],[29])).
% 4.40/4.60 tff(31,plain,
% 4.40/4.60 (((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k2_funct_5(C!1208) = k10_relset_1(B!1209, A!1210, C!1208, B!1209)))) | (k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))),
% 4.40/4.60 inference(tautology,[status(thm)],[])).
% 4.40/4.60 tff(32,plain,
% 4.40/4.60 (k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210)),
% 4.40/4.60 inference(unit_resolution,[status(thm)],[31, 26])).
% 4.40/4.60 tff(33,plain,
% 4.40/4.60 ((~(~((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208))))))) <=> ((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208)))))),
% 4.40/4.60 inference(rewrite,[status(thm)],[])).
% 4.40/4.60 tff(34,plain,
% 4.40/4.60 (((k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210)) & (k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208)))) <=> (~((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208))))))),
% 4.65/4.82 inference(rewrite,[status(thm)],[])).
% 4.65/4.82 tff(35,plain,
% 4.65/4.82 ((~((k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210)) & (k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208))))) <=> (~(~((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208)))))))),
% 4.65/4.82 inference(monotonicity,[status(thm)],[34])).
% 4.65/4.82 tff(36,plain,
% 4.65/4.82 ((~((k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210)) & (k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208))))) <=> ((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208)))))),
% 4.65/4.82 inference(transitivity,[status(thm)],[35, 33])).
% 4.65/4.82 tff(37,plain,
% 4.65/4.82 (~((k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210)) & (k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208))))),
% 4.65/4.82 inference(or_elim,[status(thm)],[8])).
% 4.65/4.82 tff(38,plain,
% 4.65/4.82 ((~(k1_funct_5(C!1208) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), A!1210))) | (~(k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208))))),
% 4.65/4.82 inference(modus_ponens,[status(thm)],[37, 36])).
% 4.65/4.82 tff(39,plain,
% 4.65/4.82 (~(k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k10_relset_1(B!1209, A!1210, C!1208, B!1209)) = k10_relset_1(A!1210, B!1209, k6_relset_1(B!1209, A!1210, C!1208), k2_funct_5(C!1208)))),
% 4.65/4.82 inference(unit_resolution,[status(thm)],[38, 32])).
% 4.65/4.82 tff(40,plain,
% 4.65/4.82 ($false),
% 4.65/4.82 inference(unit_resolution,[status(thm)],[39, 30])).
% 4.65/4.82 % SZS output end Proof
% 4.65/4.84 % E exiting
%------------------------------------------------------------------------------