TSTP Solution File: SEU444+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SEU444+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 Sep 20 07:29:43 EDT 2022
% Result : Theorem 7.13s 5.04s
% Output : Proof 7.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU444+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 300
% 0.19/0.33 % DateTime : Sat Sep 3 15:11:03 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 7.13/5.04 % SZS status Theorem
% 7.13/5.04 % SZS output start Proof
% 7.13/5.04 tff(k10_relset_1_type, type, (
% 7.13/5.04 k10_relset_1: ( $i * $i * $i * $i ) > $i)).
% 7.13/5.04 tff(k2_funct_5_type, type, (
% 7.13/5.04 k2_funct_5: $i > $i)).
% 7.13/5.04 tff(tptp_fun_C_1271_type, type, (
% 7.13/5.04 tptp_fun_C_1271: $i)).
% 7.13/5.04 tff(k6_relset_1_type, type, (
% 7.13/5.04 k6_relset_1: ( $i * $i * $i ) > $i)).
% 7.13/5.04 tff(tptp_fun_A_1273_type, type, (
% 7.13/5.04 tptp_fun_A_1273: $i)).
% 7.13/5.04 tff(tptp_fun_B_1272_type, type, (
% 7.13/5.04 tptp_fun_B_1272: $i)).
% 7.13/5.04 tff(k1_funct_5_type, type, (
% 7.13/5.04 k1_funct_5: $i > $i)).
% 7.13/5.04 tff(m2_relset_1_type, type, (
% 7.13/5.04 m2_relset_1: ( $i * $i * $i ) > $o)).
% 7.13/5.04 tff(1,plain,
% 7.13/5.04 ((~![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))))))),
% 7.13/5.04 inference(rewrite,[status(thm)],[])).
% 7.13/5.04 tff(2,plain,
% 7.13/5.04 ((~![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))))))),
% 7.13/5.04 inference(rewrite,[status(thm)],[])).
% 7.13/5.04 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')).
% 7.13/5.04 tff(4,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[3, 2])).
% 7.13/5.04 tff(5,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[4, 1])).
% 7.13/5.04 tff(6,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[5, 1])).
% 7.13/5.04 tff(7,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[6, 1])).
% 7.13/5.04 tff(8,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[7, 1])).
% 7.13/5.04 tff(9,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[8, 1])).
% 7.13/5.04 tff(10,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[9, 1])).
% 7.13/5.04 tff(11,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[10, 1])).
% 7.13/5.04 tff(12,plain,
% 7.13/5.04 (~![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)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[11, 1])).
% 7.13/5.04 tff(13,plain,(
% 7.13/5.04 ~((~m2_relset_1(C!1271, B!1272, A!1273)) | ((k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273)) & (k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271)))))),
% 7.13/5.04 inference(skolemize,[status(sab)],[12])).
% 7.13/5.04 tff(14,plain,
% 7.13/5.04 (m2_relset_1(C!1271, B!1272, A!1273)),
% 7.13/5.04 inference(or_elim,[status(thm)],[13])).
% 7.13/5.04 tff(15,plain,
% 7.13/5.04 (^[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)))))))),
% 7.13/5.04 inference(bind,[status(th)],[])).
% 7.13/5.04 tff(16,plain,
% 7.13/5.04 (![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))))))),
% 7.13/5.04 inference(quant_intro,[status(thm)],[15])).
% 7.13/5.04 tff(17,plain,
% 7.13/5.04 (^[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)))))))),
% 7.13/5.04 inference(bind,[status(th)],[])).
% 7.13/5.04 tff(18,plain,
% 7.13/5.04 (![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))))))),
% 7.13/5.04 inference(quant_intro,[status(thm)],[17])).
% 7.13/5.04 tff(19,plain,
% 7.13/5.04 (![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))))),
% 7.13/5.04 inference(rewrite,[status(thm)],[])).
% 7.13/5.04 tff(20,plain,
% 7.13/5.04 (^[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)))))),
% 7.13/5.04 inference(bind,[status(th)],[])).
% 7.13/5.04 tff(21,plain,
% 7.13/5.04 (![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))))),
% 7.13/5.04 inference(quant_intro,[status(thm)],[20])).
% 7.13/5.04 tff(22,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')).
% 7.13/5.04 tff(23,plain,
% 7.13/5.04 (![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))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[22, 21])).
% 7.13/5.04 tff(24,plain,
% 7.13/5.04 (![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))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[23, 19])).
% 7.13/5.04 tff(25,plain,(
% 7.13/5.04 ![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))))),
% 7.13/5.04 inference(skolemize,[status(sab)],[24])).
% 7.13/5.04 tff(26,plain,
% 7.13/5.04 (![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))))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[25, 18])).
% 7.13/5.04 tff(27,plain,
% 7.13/5.04 (![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))))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[26, 16])).
% 7.13/5.04 tff(28,plain,
% 7.13/5.04 (((~![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!1271, B!1272, A!1273)) | (~((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272))))))) <=> ((~![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!1271, B!1272, A!1273)) | (~((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272))))))),
% 7.13/5.04 inference(rewrite,[status(thm)],[])).
% 7.13/5.04 tff(29,plain,
% 7.13/5.04 ((~![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!1271, B!1272, A!1273)) | (~((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272))))))),
% 7.13/5.04 inference(quant_inst,[status(thm)],[])).
% 7.13/5.04 tff(30,plain,
% 7.13/5.04 ((~![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!1271, B!1272, A!1273)) | (~((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272)))))),
% 7.13/5.04 inference(modus_ponens,[status(thm)],[29, 28])).
% 7.13/5.04 tff(31,plain,
% 7.13/5.04 (~((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272))))),
% 7.13/5.04 inference(unit_resolution,[status(thm)],[30, 27, 14])).
% 7.13/5.04 tff(32,plain,
% 7.13/5.04 (((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272)))) | (k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272))),
% 7.13/5.04 inference(tautology,[status(thm)],[])).
% 7.13/5.04 tff(33,plain,
% 7.13/5.04 (k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272)),
% 7.13/5.04 inference(unit_resolution,[status(thm)],[32, 31])).
% 7.13/5.04 tff(34,plain,
% 7.13/5.04 (k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272))),
% 7.13/5.04 inference(monotonicity,[status(thm)],[33])).
% 7.13/5.04 tff(35,plain,
% 7.13/5.04 (k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271))),
% 7.13/5.04 inference(symmetry,[status(thm)],[34])).
% 7.13/5.04 tff(36,plain,
% 7.13/5.04 (((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k2_funct_5(C!1271) = k10_relset_1(B!1272, A!1273, C!1271, B!1272)))) | (k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))),
% 7.13/5.04 inference(tautology,[status(thm)],[])).
% 7.13/5.04 tff(37,plain,
% 7.13/5.04 (k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273)),
% 7.13/5.04 inference(unit_resolution,[status(thm)],[36, 31])).
% 7.13/5.04 tff(38,plain,
% 7.13/5.04 ((~(~((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271))))))) <=> ((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271)))))),
% 7.13/5.04 inference(rewrite,[status(thm)],[])).
% 7.13/5.04 tff(39,plain,
% 7.13/5.04 (((k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273)) & (k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271)))) <=> (~((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271))))))),
% 7.13/5.04 inference(rewrite,[status(thm)],[])).
% 7.13/5.04 tff(40,plain,
% 7.13/5.04 ((~((k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273)) & (k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271))))) <=> (~(~((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271)))))))),
% 7.13/5.04 inference(monotonicity,[status(thm)],[39])).
% 7.13/5.04 tff(41,plain,
% 7.13/5.04 ((~((k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273)) & (k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271))))) <=> ((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271)))))),
% 7.13/5.04 inference(transitivity,[status(thm)],[40, 38])).
% 7.13/5.04 tff(42,plain,
% 7.13/5.04 (~((k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273)) & (k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271))))),
% 7.13/5.04 inference(or_elim,[status(thm)],[13])).
% 7.13/5.04 tff(43,plain,
% 7.13/5.04 ((~(k1_funct_5(C!1271) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), A!1273))) | (~(k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271))))),
% 7.35/5.28 inference(modus_ponens,[status(thm)],[42, 41])).
% 7.35/5.28 tff(44,plain,
% 7.35/5.28 (~(k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k10_relset_1(B!1272, A!1273, C!1271, B!1272)) = k10_relset_1(A!1273, B!1272, k6_relset_1(B!1272, A!1273, C!1271), k2_funct_5(C!1271)))),
% 7.35/5.28 inference(unit_resolution,[status(thm)],[43, 37])).
% 7.35/5.28 tff(45,plain,
% 7.35/5.28 ($false),
% 7.35/5.28 inference(unit_resolution,[status(thm)],[44, 35])).
% 7.35/5.28 % SZS output end Proof
%------------------------------------------------------------------------------