TSTP Solution File: SEU444+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SEU444+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 0.21s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU444+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Sep 3 14:34:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 0.21/0.41 % SZS status Theorem
% 0.21/0.41 % SZS output start Proof
% 0.21/0.41 tff(k10_relset_1_type, type, (
% 0.21/0.41 k10_relset_1: ( $i * $i * $i * $i ) > $i)).
% 0.21/0.41 tff(k2_funct_5_type, type, (
% 0.21/0.41 k2_funct_5: $i > $i)).
% 0.21/0.41 tff(tptp_fun_C_0_type, type, (
% 0.21/0.41 tptp_fun_C_0: $i)).
% 0.21/0.41 tff(k6_relset_1_type, type, (
% 0.21/0.41 k6_relset_1: ( $i * $i * $i ) > $i)).
% 0.21/0.41 tff(tptp_fun_A_2_type, type, (
% 0.21/0.41 tptp_fun_A_2: $i)).
% 0.21/0.41 tff(tptp_fun_B_1_type, type, (
% 0.21/0.41 tptp_fun_B_1: $i)).
% 0.21/0.41 tff(k1_funct_5_type, type, (
% 0.21/0.41 k1_funct_5: $i > $i)).
% 0.21/0.41 tff(m2_relset_1_type, type, (
% 0.21/0.41 m2_relset_1: ( $i * $i * $i ) > $o)).
% 0.21/0.41 tff(1,plain,
% 0.21/0.41 (^[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)))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(2,plain,
% 0.21/0.41 (![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))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[1])).
% 0.21/0.41 tff(3,plain,
% 0.21/0.41 (^[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)))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(4,plain,
% 0.21/0.41 (![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))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.41 tff(5,plain,
% 0.21/0.41 (![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))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(6,plain,
% 0.21/0.41 (^[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)))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(7,plain,
% 0.21/0.41 (![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))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[6])).
% 0.21/0.41 tff(8,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/sandbox2/benchmark/theBenchmark.p','t51_relset_2')).
% 0.21/0.41 tff(9,plain,
% 0.21/0.41 (![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))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.21/0.41 tff(10,plain,
% 0.21/0.41 (![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))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.21/0.41 tff(11,plain,(
% 0.21/0.41 ![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))))),
% 0.21/0.41 inference(skolemize,[status(sab)],[10])).
% 0.21/0.41 tff(12,plain,
% 0.21/0.41 (![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))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.21/0.41 tff(13,plain,
% 0.21/0.41 (![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))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.21/0.41 tff(14,plain,
% 0.21/0.41 ((~![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))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(15,plain,
% 0.21/0.41 ((~![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))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(16,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/sandbox2/benchmark/theBenchmark.p','t56_relset_2')).
% 0.21/0.41 tff(17,plain,
% 0.21/0.41 (~![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)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.21/0.41 tff(18,plain,
% 0.21/0.41 (~![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)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[17, 14])).
% 0.21/0.41 tff(19,plain,
% 0.21/0.41 (~![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)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.21/0.41 tff(20,plain,
% 0.21/0.41 (~![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)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[19, 14])).
% 0.21/0.41 tff(21,plain,
% 0.21/0.41 (~![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)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[20, 14])).
% 0.21/0.41 tff(22,plain,
% 0.21/0.41 (~![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)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.21/0.41 tff(23,plain,
% 0.21/0.41 (~![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)))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[22, 14])).
% 0.21/0.42 tff(24,plain,(
% 0.21/0.42 ~((~m2_relset_1(C!0, B!1, A!2)) | ((k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2)) & (k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0)))))),
% 0.21/0.42 inference(skolemize,[status(sab)],[23])).
% 0.21/0.42 tff(25,plain,
% 0.21/0.42 (m2_relset_1(C!0, B!1, A!2)),
% 0.21/0.42 inference(or_elim,[status(thm)],[24])).
% 0.21/0.42 tff(26,plain,
% 0.21/0.42 (((~![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!0, B!1, A!2)) | (~((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1))))))) <=> ((~![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!0, B!1, A!2)) | (~((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1))))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(27,plain,
% 0.21/0.42 ((~![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!0, B!1, A!2)) | (~((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1))))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(28,plain,
% 0.21/0.42 ((~![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!0, B!1, A!2)) | (~((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1)))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.21/0.42 tff(29,plain,
% 0.21/0.42 (~((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[28, 25, 13])).
% 0.21/0.42 tff(30,plain,
% 0.21/0.42 (((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1)))) | (k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(31,plain,
% 0.21/0.42 (k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.21/0.42 tff(32,plain,
% 0.21/0.42 (k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[31])).
% 0.21/0.42 tff(33,plain,
% 0.21/0.42 (k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0))),
% 0.21/0.42 inference(symmetry,[status(thm)],[32])).
% 0.21/0.42 tff(34,plain,
% 0.21/0.42 (((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k2_funct_5(C!0) = k10_relset_1(B!1, A!2, C!0, B!1)))) | (k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(35,plain,
% 0.21/0.42 (k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[34, 29])).
% 0.21/0.42 tff(36,plain,
% 0.21/0.42 ((~(~((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0))))))) <=> ((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(37,plain,
% 0.21/0.42 (((k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2)) & (k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0)))) <=> (~((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0))))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(38,plain,
% 0.21/0.42 ((~((k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2)) & (k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0))))) <=> (~(~((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0)))))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[37])).
% 0.21/0.42 tff(39,plain,
% 0.21/0.42 ((~((k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2)) & (k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0))))) <=> ((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0)))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[38, 36])).
% 0.21/0.42 tff(40,plain,
% 0.21/0.42 (~((k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2)) & (k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0))))),
% 0.21/0.42 inference(or_elim,[status(thm)],[24])).
% 0.21/0.42 tff(41,plain,
% 0.21/0.42 ((~(k1_funct_5(C!0) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), A!2))) | (~(k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.21/0.42 tff(42,plain,
% 0.21/0.42 (~(k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k10_relset_1(B!1, A!2, C!0, B!1)) = k10_relset_1(A!2, B!1, k6_relset_1(B!1, A!2, C!0), k2_funct_5(C!0)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[41, 35])).
% 0.21/0.42 tff(43,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[42, 33])).
% 0.21/0.42 % SZS output end Proof
%------------------------------------------------------------------------------