TSTP Solution File: SEU449+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SEU449+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.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 07:29:46 EDT 2022
% Result : Theorem 55.97s 35.05s
% Output : Proof 56.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU449+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 15:10:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 55.97/35.05 % SZS status Theorem
% 55.97/35.05 % SZS output start Proof
% 55.97/35.05 tff(r1_tarski_type, type, (
% 55.97/35.05 r1_tarski: ( $i * $i ) > $o)).
% 55.97/35.05 tff(k8_relset_2_type, type, (
% 55.97/35.05 k8_relset_2: ( $i * $i * $i * $i ) > $i)).
% 55.97/35.05 tff(tptp_fun_E_4_type, type, (
% 55.97/35.05 tptp_fun_E_4: $i)).
% 55.97/35.05 tff(tptp_fun_C_0_type, type, (
% 55.97/35.05 tptp_fun_C_0: $i)).
% 55.97/35.05 tff(tptp_fun_B_1_type, type, (
% 55.97/35.05 tptp_fun_B_1: $i)).
% 55.97/35.05 tff(tptp_fun_A_2_type, type, (
% 55.97/35.05 tptp_fun_A_2: $i)).
% 55.97/35.05 tff(k7_relset_2_type, type, (
% 55.97/35.05 k7_relset_2: ( $i * $i * $i * $i ) > $i)).
% 55.97/35.05 tff(k6_relset_1_type, type, (
% 55.97/35.05 k6_relset_1: ( $i * $i * $i ) > $i)).
% 55.97/35.05 tff(m2_relset_1_type, type, (
% 55.97/35.05 m2_relset_1: ( $i * $i * $i ) > $o)).
% 55.97/35.05 tff(m1_subset_1_type, type, (
% 55.97/35.05 m1_subset_1: ( $i * $i ) > $o)).
% 55.97/35.05 tff(k1_zfmisc_1_type, type, (
% 55.97/35.05 k1_zfmisc_1: $i > $i)).
% 55.97/35.05 tff(k2_zfmisc_1_type, type, (
% 55.97/35.05 k2_zfmisc_1: ( $i * $i ) > $i)).
% 55.97/35.05 tff(tptp_fun_D_3_type, type, (
% 55.97/35.05 tptp_fun_D_3: $i)).
% 55.97/35.05 tff(k4_relat_1_type, type, (
% 55.97/35.05 k4_relat_1: $i > $i)).
% 55.97/35.05 tff(m1_relset_1_type, type, (
% 55.97/35.05 m1_relset_1: ( $i * $i * $i ) > $o)).
% 55.97/35.05 tff(1,plain,
% 55.97/35.05 (^[A: $i, B: $i, C: $i] : refl(((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 55.97/35.05 inference(bind,[status(th)],[])).
% 55.97/35.05 tff(2,plain,
% 55.97/35.05 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 55.97/35.05 inference(quant_intro,[status(thm)],[1])).
% 55.97/35.05 tff(3,plain,
% 55.97/35.05 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 55.97/35.05 inference(rewrite,[status(thm)],[])).
% 55.97/35.05 tff(4,plain,
% 55.97/35.05 (^[A: $i, B: $i, C: $i] : rewrite((m2_relset_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 55.97/35.05 inference(bind,[status(th)],[])).
% 55.97/35.05 tff(5,plain,
% 55.97/35.05 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 55.97/35.05 inference(quant_intro,[status(thm)],[4])).
% 55.97/35.05 tff(6,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_m2_relset_1')).
% 55.97/35.05 tff(7,plain,
% 55.97/35.05 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 55.97/35.05 inference(modus_ponens,[status(thm)],[6, 5])).
% 55.97/35.05 tff(8,plain,
% 55.97/35.05 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 55.97/35.05 inference(modus_ponens,[status(thm)],[7, 3])).
% 55.97/35.05 tff(9,plain,(
% 55.97/35.05 ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 55.97/35.05 inference(skolemize,[status(sab)],[8])).
% 55.97/35.05 tff(10,plain,
% 55.97/35.05 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 55.97/35.05 inference(modus_ponens,[status(thm)],[9, 2])).
% 55.97/35.05 tff(11,plain,
% 55.97/35.05 ((m1_subset_1(C!0, k1_zfmisc_1(A!2)) & (m1_subset_1(D!3, k1_zfmisc_1(B!1)) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))))) <=> (m1_subset_1(C!0, k1_zfmisc_1(A!2)) & m1_subset_1(D!3, k1_zfmisc_1(B!1)) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))))),
% 55.97/35.05 inference(rewrite,[status(thm)],[])).
% 55.97/35.05 tff(12,plain,
% 55.97/35.05 (((~(~m1_subset_1(D!3, k1_zfmisc_1(B!1)))) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))))) <=> (m1_subset_1(D!3, k1_zfmisc_1(B!1)) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))))),
% 55.97/35.05 inference(rewrite,[status(thm)],[])).
% 55.97/35.05 tff(13,plain,
% 55.97/35.05 ((~(~m1_subset_1(C!0, k1_zfmisc_1(A!2)))) <=> m1_subset_1(C!0, k1_zfmisc_1(A!2))),
% 55.97/35.05 inference(rewrite,[status(thm)],[])).
% 55.97/35.05 tff(14,plain,
% 55.97/35.05 (((~(~m1_subset_1(C!0, k1_zfmisc_1(A!2)))) & ((~(~m1_subset_1(D!3, k1_zfmisc_1(B!1)))) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))))) <=> (m1_subset_1(C!0, k1_zfmisc_1(A!2)) & (m1_subset_1(D!3, k1_zfmisc_1(B!1)) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))))))),
% 55.97/35.05 inference(monotonicity,[status(thm)],[13, 12])).
% 55.97/35.05 tff(15,plain,
% 55.97/35.05 (((~(~m1_subset_1(C!0, k1_zfmisc_1(A!2)))) & ((~(~m1_subset_1(D!3, k1_zfmisc_1(B!1)))) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))))) <=> (m1_subset_1(C!0, k1_zfmisc_1(A!2)) & m1_subset_1(D!3, k1_zfmisc_1(B!1)) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))))),
% 55.97/35.05 inference(transitivity,[status(thm)],[14, 11])).
% 55.97/35.05 tff(16,plain,
% 55.97/35.05 ((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))) <=> (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E)))))))),
% 55.97/35.05 inference(rewrite,[status(thm)],[])).
% 55.97/35.05 tff(17,plain,
% 55.97/35.05 ((~![A: $i, B: $i, C: $i] : (m1_subset_1(C, k1_zfmisc_1(A)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))) <=> (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E)))))))),
% 55.97/35.05 inference(rewrite,[status(thm)],[])).
% 55.97/35.05 tff(18,axiom,(~![A: $i, B: $i, C: $i] : (m1_subset_1(C, k1_zfmisc_1(A)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t63_relset_2')).
% 55.97/35.05 tff(19,plain,
% 55.97/35.05 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[18, 17])).
% 55.97/35.06 tff(20,plain,
% 55.97/35.06 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[19, 16])).
% 55.97/35.06 tff(21,plain,
% 55.97/35.06 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[20, 16])).
% 55.97/35.06 tff(22,plain,
% 55.97/35.06 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[21, 16])).
% 55.97/35.06 tff(23,plain,
% 55.97/35.06 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[22, 16])).
% 55.97/35.06 tff(24,plain,
% 55.97/35.06 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[23, 16])).
% 55.97/35.06 tff(25,plain,
% 55.97/35.06 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, k8_relset_2(A, B, C, E), k6_relset_1(A, B, E))) & r1_tarski(D, k8_relset_2(A, B, k8_relset_2(B, A, D, k6_relset_1(A, B, E)), E))))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[24, 16])).
% 55.97/35.06 tff(26,plain,
% 55.97/35.06 (m1_subset_1(C!0, k1_zfmisc_1(A!2)) & m1_subset_1(D!3, k1_zfmisc_1(B!1)) & (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[25, 15])).
% 55.97/35.06 tff(27,plain,
% 55.97/35.06 (~((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))),
% 55.97/35.06 inference(and_elim,[status(thm)],[26])).
% 55.97/35.06 tff(28,plain,
% 55.97/35.06 (m2_relset_1(E!4, A!2, B!1)),
% 55.97/35.06 inference(or_elim,[status(thm)],[27])).
% 55.97/35.06 tff(29,plain,
% 55.97/35.06 (((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ((~m2_relset_1(E!4, A!2, B!1)) | m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))) <=> ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (~m2_relset_1(E!4, A!2, B!1)) | m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))),
% 55.97/35.06 inference(rewrite,[status(thm)],[])).
% 55.97/35.06 tff(30,plain,
% 55.97/35.06 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ((~m2_relset_1(E!4, A!2, B!1)) | m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))),
% 55.97/35.06 inference(quant_inst,[status(thm)],[])).
% 55.97/35.06 tff(31,plain,
% 55.97/35.06 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (~m2_relset_1(E!4, A!2, B!1)) | m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[30, 29])).
% 55.97/35.06 tff(32,plain,
% 55.97/35.06 (m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))),
% 55.97/35.06 inference(unit_resolution,[status(thm)],[31, 28, 10])).
% 55.97/35.06 tff(33,plain,
% 55.97/35.06 (^[A: $i, B: $i, C: $i, D: $i] : refl(((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A)))) <=> ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A)))))),
% 55.97/35.06 inference(bind,[status(th)],[])).
% 55.97/35.06 tff(34,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A)))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))),
% 55.97/35.06 inference(quant_intro,[status(thm)],[33])).
% 55.97/35.06 tff(35,plain,
% 55.97/35.06 (^[A: $i, B: $i, C: $i, D: $i] : trans(monotonicity(trans(monotonicity(rewrite((m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> (~((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))))), ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) <=> (~(~((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))))))), rewrite((~(~((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))))), ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))))), (((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))) <=> (((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))))), rewrite((((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))) <=> ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))), (((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))) <=> ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))))),
% 55.97/35.06 inference(bind,[status(th)],[])).
% 55.97/35.06 tff(36,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))),
% 55.97/35.06 inference(quant_intro,[status(thm)],[35])).
% 55.97/35.06 tff(37,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)))),
% 55.97/35.06 inference(rewrite,[status(thm)],[])).
% 55.97/35.06 tff(38,plain,
% 55.97/35.06 (^[A: $i, B: $i, C: $i, D: $i] : rewrite(((m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) => (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))) <=> ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))))),
% 55.97/35.06 inference(bind,[status(th)],[])).
% 55.97/35.06 tff(39,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : ((m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) => (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)))),
% 55.97/35.06 inference(quant_intro,[status(thm)],[38])).
% 55.97/35.06 tff(40,axiom,(![A: $i, B: $i, C: $i, D: $i] : ((m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) => (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_k8_relset_2')).
% 55.97/35.06 tff(41,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[40, 39])).
% 55.97/35.06 tff(42,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[41, 37])).
% 55.97/35.06 tff(43,plain,(
% 55.97/35.06 ![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)))),
% 55.97/35.06 inference(skolemize,[status(sab)],[42])).
% 55.97/35.06 tff(44,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[43, 36])).
% 55.97/35.06 tff(45,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[44, 34])).
% 55.97/35.06 tff(46,plain,
% 55.97/35.06 (m1_subset_1(C!0, k1_zfmisc_1(A!2))),
% 55.97/35.06 inference(and_elim,[status(thm)],[26])).
% 55.97/35.06 tff(47,plain,
% 55.97/35.06 (((~![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)))),
% 55.97/35.06 inference(rewrite,[status(thm)],[])).
% 55.97/35.06 tff(48,plain,
% 55.97/35.06 (((k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2)))) <=> ((~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)))),
% 55.97/35.06 inference(rewrite,[status(thm)],[])).
% 55.97/35.06 tff(49,plain,
% 55.97/35.06 (((~![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4))))),
% 55.97/35.06 inference(monotonicity,[status(thm)],[48])).
% 55.97/35.06 tff(50,plain,
% 55.97/35.06 (((~![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)))),
% 55.97/35.06 inference(transitivity,[status(thm)],[49, 47])).
% 55.97/35.06 tff(51,plain,
% 55.97/35.06 ((~![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))))),
% 55.97/35.06 inference(quant_inst,[status(thm)],[])).
% 55.97/35.06 tff(52,plain,
% 55.97/35.06 ((~![A: $i, B: $i, C: $i, D: $i] : ((k8_relset_2(A, B, C, D) = k7_relset_2(A, B, C, D)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4))),
% 55.97/35.06 inference(modus_ponens,[status(thm)],[51, 50])).
% 55.97/35.06 tff(53,plain,
% 55.97/35.06 (k8_relset_2(A!2, B!1, C!0, E!4) = k7_relset_2(A!2, B!1, C!0, E!4)),
% 55.97/35.06 inference(unit_resolution,[status(thm)],[52, 46, 45, 32])).
% 55.97/35.06 tff(54,plain,
% 55.97/35.06 (k7_relset_2(A!2, B!1, C!0, E!4) = k8_relset_2(A!2, B!1, C!0, E!4)),
% 55.97/35.06 inference(symmetry,[status(thm)],[53])).
% 55.97/35.06 tff(55,plain,
% 55.97/35.06 (m1_subset_1(k7_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)) <=> m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))),
% 55.97/35.06 inference(monotonicity,[status(thm)],[54])).
% 55.97/35.06 tff(56,plain,
% 55.97/35.06 (m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)) <=> m1_subset_1(k7_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))),
% 55.97/35.06 inference(symmetry,[status(thm)],[55])).
% 55.97/35.06 tff(57,plain,
% 55.97/35.06 (^[A: $i, B: $i, C: $i, D: $i] : refl((m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A)))) <=> (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A)))))),
% 55.97/35.06 inference(bind,[status(th)],[])).
% 55.97/35.06 tff(58,plain,
% 55.97/35.06 (![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A)))) <=> ![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))),
% 55.97/35.06 inference(quant_intro,[status(thm)],[57])).
% 55.97/35.06 tff(59,plain,
% 55.97/35.06 (^[A: $i, B: $i, C: $i, D: $i] : trans(monotonicity(trans(monotonicity(rewrite((m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> (~((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))))), ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) <=> (~(~((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))))))), rewrite((~(~((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))))), ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))))), (((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))) <=> (((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))))), rewrite((((~m1_subset_1(C, k1_zfmisc_1(A))) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))) <=> (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))), (((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))) <=> (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))))),
% 55.97/35.07 inference(bind,[status(th)],[])).
% 55.97/35.07 tff(60,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))) <=> ![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))),
% 55.97/35.07 inference(quant_intro,[status(thm)],[59])).
% 55.97/35.07 tff(61,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)))),
% 55.97/35.07 inference(rewrite,[status(thm)],[])).
% 55.97/35.07 tff(62,plain,
% 55.97/35.07 (^[A: $i, B: $i, C: $i, D: $i] : rewrite(((m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) => m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))) <=> ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))))),
% 55.97/35.07 inference(bind,[status(th)],[])).
% 55.97/35.07 tff(63,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i, D: $i] : ((m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) => m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)))),
% 55.97/35.07 inference(quant_intro,[status(thm)],[62])).
% 55.97/35.07 tff(64,axiom,(![A: $i, B: $i, C: $i, D: $i] : ((m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) => m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k8_relset_2')).
% 55.97/35.07 tff(65,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)))),
% 55.97/35.07 inference(modus_ponens,[status(thm)],[64, 63])).
% 55.97/35.07 tff(66,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)))),
% 55.97/35.07 inference(modus_ponens,[status(thm)],[65, 61])).
% 55.97/35.07 tff(67,plain,(
% 55.97/35.07 ![A: $i, B: $i, C: $i, D: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)))),
% 55.97/35.07 inference(skolemize,[status(sab)],[66])).
% 55.97/35.07 tff(68,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))),
% 55.97/35.07 inference(modus_ponens,[status(thm)],[67, 60])).
% 55.97/35.07 tff(69,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))),
% 55.97/35.07 inference(modus_ponens,[status(thm)],[68, 58])).
% 55.97/35.07 tff(70,plain,
% 55.97/35.07 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)))),
% 55.97/35.07 inference(rewrite,[status(thm)],[])).
% 55.97/35.07 tff(71,plain,
% 55.97/35.07 ((m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2)))) <=> ((~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)))),
% 55.97/35.07 inference(rewrite,[status(thm)],[])).
% 55.97/35.07 tff(72,plain,
% 55.97/35.07 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))))),
% 55.97/35.07 inference(monotonicity,[status(thm)],[71])).
% 55.97/35.07 tff(73,plain,
% 55.97/35.07 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)))),
% 55.97/35.07 inference(transitivity,[status(thm)],[72, 70])).
% 55.97/35.07 tff(74,plain,
% 55.97/35.07 ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1)) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))))),
% 55.97/35.07 inference(quant_inst,[status(thm)],[])).
% 55.97/35.07 tff(75,plain,
% 55.97/35.07 ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | (~m1_subset_1(E!4, k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))) | m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))),
% 55.97/35.07 inference(modus_ponens,[status(thm)],[74, 73])).
% 55.97/35.07 tff(76,plain,
% 55.97/35.07 (m1_subset_1(k8_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))),
% 55.97/35.07 inference(unit_resolution,[status(thm)],[75, 46, 69, 32])).
% 55.97/35.07 tff(77,plain,
% 55.97/35.07 (m1_subset_1(k7_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))),
% 55.97/35.07 inference(modus_ponens,[status(thm)],[76, 56])).
% 55.97/35.07 tff(78,plain,
% 55.97/35.07 (^[A: $i, B: $i, C: $i] : refl(((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))))),
% 55.97/35.07 inference(bind,[status(th)],[])).
% 55.97/35.07 tff(79,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.07 inference(quant_intro,[status(thm)],[78])).
% 55.97/35.07 tff(80,plain,
% 55.97/35.07 (^[A: $i, B: $i, C: $i] : rewrite(((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))))),
% 55.97/35.07 inference(bind,[status(th)],[])).
% 55.97/35.07 tff(81,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.07 inference(quant_intro,[status(thm)],[80])).
% 55.97/35.07 tff(82,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.07 inference(transitivity,[status(thm)],[81, 79])).
% 55.97/35.07 tff(83,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.07 inference(rewrite,[status(thm)],[])).
% 55.97/35.07 tff(84,plain,
% 55.97/35.07 (^[A: $i, B: $i, C: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : trans(monotonicity(quant_intro(proof_bind(^[E: $i] : rewrite((m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))) <=> ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))), (![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))) <=> ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))), ((m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))) <=> (m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))), rewrite((m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))) <=> ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))), ((m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))) <=> ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))))), (![D: $i] : (m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))) <=> ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))), ((m1_subset_1(C, k1_zfmisc_1(A)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> (m1_subset_1(C, k1_zfmisc_1(A)) => ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))))), rewrite((m1_subset_1(C, k1_zfmisc_1(A)) => ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))), ((m1_subset_1(C, k1_zfmisc_1(A)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))))),
% 55.97/35.07 inference(bind,[status(th)],[])).
% 55.97/35.07 tff(85,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i] : (m1_subset_1(C, k1_zfmisc_1(A)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E)))))) <=> ![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.07 inference(quant_intro,[status(thm)],[84])).
% 55.97/35.07 tff(86,axiom,(![A: $i, B: $i, C: $i] : (m1_subset_1(C, k1_zfmisc_1(A)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(B)) => ![E: $i] : (m2_relset_1(E, A, B) => (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t61_relset_2')).
% 55.97/35.07 tff(87,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.07 inference(modus_ponens,[status(thm)],[86, 85])).
% 55.97/35.07 tff(88,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.07 inference(modus_ponens,[status(thm)],[87, 83])).
% 55.97/35.07 tff(89,plain,(
% 55.97/35.07 ![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.07 inference(skolemize,[status(sab)],[88])).
% 55.97/35.07 tff(90,plain,
% 55.97/35.07 (![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))),
% 55.97/35.08 inference(modus_ponens,[status(thm)],[89, 82])).
% 55.97/35.08 tff(91,plain,
% 55.97/35.08 (((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))) | ((~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E))))))),
% 55.97/35.08 inference(rewrite,[status(thm)],[])).
% 55.97/35.08 tff(92,plain,
% 55.97/35.08 ((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))) | ((~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E))))))),
% 55.97/35.08 inference(quant_inst,[status(thm)],[])).
% 55.97/35.08 tff(93,plain,
% 55.97/35.08 ((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))) | (~m1_subset_1(C!0, k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E)))))),
% 55.97/35.08 inference(modus_ponens,[status(thm)],[92, 91])).
% 55.97/35.08 tff(94,plain,
% 55.97/35.08 (![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E)))))),
% 55.97/35.08 inference(unit_resolution,[status(thm)],[93, 46, 90])).
% 55.97/35.08 tff(95,plain,
% 55.97/35.08 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E)))))) | ((~m1_subset_1(k7_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E)))))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E)))))) | (~m1_subset_1(k7_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E)))))),
% 55.97/35.08 inference(rewrite,[status(thm)],[])).
% 55.97/35.08 tff(96,plain,
% 55.97/35.08 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E)))))) | ((~m1_subset_1(k7_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E)))))),
% 55.97/35.08 inference(quant_inst,[status(thm)],[])).
% 55.97/35.08 tff(97,plain,
% 55.97/35.08 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, C!0, E)))))) | (~m1_subset_1(k7_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E))))),
% 55.97/35.08 inference(modus_ponens,[status(thm)],[96, 95])).
% 55.97/35.08 tff(98,plain,
% 55.97/35.08 ((~m1_subset_1(k7_relset_2(A!2, B!1, C!0, E!4), k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E))))),
% 55.97/35.08 inference(unit_resolution,[status(thm)],[97, 94])).
% 55.97/35.08 tff(99,plain,
% 55.97/35.08 (![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E))))),
% 55.97/35.08 inference(unit_resolution,[status(thm)],[98, 77])).
% 55.97/35.08 tff(100,plain,
% 55.97/35.08 (((~![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E))))) | ((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4))))) <=> ((~![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E))))) | (~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4))))),
% 55.97/35.08 inference(rewrite,[status(thm)],[])).
% 55.97/35.08 tff(101,plain,
% 55.97/35.08 ((~![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E))))) | ((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4))))),
% 55.97/35.08 inference(quant_inst,[status(thm)],[])).
% 55.97/35.08 tff(102,plain,
% 55.97/35.08 ((~![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E))))) | (~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4)))),
% 55.97/35.08 inference(modus_ponens,[status(thm)],[101, 100])).
% 55.97/35.08 tff(103,plain,
% 55.97/35.08 (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4))),
% 55.97/35.08 inference(unit_resolution,[status(thm)],[102, 28, 99])).
% 55.97/35.08 tff(104,plain,
% 55.97/35.08 (k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)) = k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))),
% 55.97/35.08 inference(monotonicity,[status(thm)],[54])).
% 55.97/35.08 tff(105,plain,
% 55.97/35.08 (r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))),
% 56.05/35.08 inference(monotonicity,[status(thm)],[104])).
% 56.05/35.08 tff(106,plain,
% 56.05/35.08 (r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))),
% 56.05/35.08 inference(symmetry,[status(thm)],[105])).
% 56.05/35.08 tff(107,plain,
% 56.05/35.08 ((~r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))) <=> (~r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))))),
% 56.05/35.08 inference(monotonicity,[status(thm)],[106])).
% 56.05/35.08 tff(108,plain,
% 56.05/35.08 (^[A: $i, B: $i, C: $i] : refl((m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)))),
% 56.05/35.08 inference(bind,[status(th)],[])).
% 56.05/35.08 tff(109,plain,
% 56.05/35.08 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 56.05/35.08 inference(quant_intro,[status(thm)],[108])).
% 56.05/35.08 tff(110,plain,
% 56.05/35.08 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 56.05/35.08 inference(rewrite,[status(thm)],[])).
% 56.05/35.08 tff(111,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_m2_relset_1')).
% 56.05/35.08 tff(112,plain,
% 56.05/35.08 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 56.05/35.08 inference(modus_ponens,[status(thm)],[111, 110])).
% 56.05/35.08 tff(113,plain,(
% 56.05/35.08 ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 56.05/35.08 inference(skolemize,[status(sab)],[112])).
% 56.05/35.08 tff(114,plain,
% 56.05/35.08 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 56.05/35.08 inference(modus_ponens,[status(thm)],[113, 109])).
% 56.05/35.08 tff(115,plain,
% 56.05/35.08 ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))) | (m2_relset_1(E!4, A!2, B!1) <=> m1_relset_1(E!4, A!2, B!1))),
% 56.05/35.08 inference(quant_inst,[status(thm)],[])).
% 56.05/35.08 tff(116,plain,
% 56.05/35.08 (m2_relset_1(E!4, A!2, B!1) <=> m1_relset_1(E!4, A!2, B!1)),
% 56.05/35.08 inference(unit_resolution,[status(thm)],[115, 114])).
% 56.05/35.08 tff(117,plain,
% 56.05/35.08 ((~(m2_relset_1(E!4, A!2, B!1) <=> m1_relset_1(E!4, A!2, B!1))) | (~m2_relset_1(E!4, A!2, B!1)) | m1_relset_1(E!4, A!2, B!1)),
% 56.05/35.08 inference(tautology,[status(thm)],[])).
% 56.05/35.08 tff(118,plain,
% 56.05/35.08 ((~(m2_relset_1(E!4, A!2, B!1) <=> m1_relset_1(E!4, A!2, B!1))) | m1_relset_1(E!4, A!2, B!1)),
% 56.05/35.08 inference(unit_resolution,[status(thm)],[117, 28])).
% 56.05/35.08 tff(119,plain,
% 56.05/35.08 (m1_relset_1(E!4, A!2, B!1)),
% 56.05/35.08 inference(unit_resolution,[status(thm)],[118, 116])).
% 56.05/35.08 tff(120,plain,
% 56.05/35.08 (^[A: $i, B: $i, C: $i] : refl(((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C))) <=> ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C))))),
% 56.05/35.08 inference(bind,[status(th)],[])).
% 56.05/35.08 tff(121,plain,
% 56.05/35.08 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C))) <=> ![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))),
% 56.05/35.08 inference(quant_intro,[status(thm)],[120])).
% 56.05/35.08 tff(122,plain,
% 56.05/35.08 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C))) <=> ![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))),
% 56.05/35.08 inference(rewrite,[status(thm)],[])).
% 56.05/35.08 tff(123,plain,
% 56.05/35.08 (^[A: $i, B: $i, C: $i] : rewrite((m1_relset_1(C, A, B) => (k6_relset_1(A, B, C) = k4_relat_1(C))) <=> ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C))))),
% 56.05/35.08 inference(bind,[status(th)],[])).
% 56.05/35.08 tff(124,plain,
% 56.05/35.08 (![A: $i, B: $i, C: $i] : (m1_relset_1(C, A, B) => (k6_relset_1(A, B, C) = k4_relat_1(C))) <=> ![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))),
% 56.05/35.08 inference(quant_intro,[status(thm)],[123])).
% 56.05/35.08 tff(125,axiom,(![A: $i, B: $i, C: $i] : (m1_relset_1(C, A, B) => (k6_relset_1(A, B, C) = k4_relat_1(C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_k6_relset_1')).
% 56.05/35.09 tff(126,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[125, 124])).
% 56.05/35.09 tff(127,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[126, 122])).
% 56.05/35.09 tff(128,plain,(
% 56.05/35.09 ![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))),
% 56.05/35.09 inference(skolemize,[status(sab)],[127])).
% 56.05/35.09 tff(129,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[128, 121])).
% 56.05/35.09 tff(130,plain,
% 56.05/35.09 (((~![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))) | ((~m1_relset_1(E!4, A!2, B!1)) | (k6_relset_1(A!2, B!1, E!4) = k4_relat_1(E!4)))) <=> ((~![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))) | (~m1_relset_1(E!4, A!2, B!1)) | (k6_relset_1(A!2, B!1, E!4) = k4_relat_1(E!4)))),
% 56.05/35.09 inference(rewrite,[status(thm)],[])).
% 56.05/35.09 tff(131,plain,
% 56.05/35.09 ((~![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))) | ((~m1_relset_1(E!4, A!2, B!1)) | (k6_relset_1(A!2, B!1, E!4) = k4_relat_1(E!4)))),
% 56.05/35.09 inference(quant_inst,[status(thm)],[])).
% 56.05/35.09 tff(132,plain,
% 56.05/35.09 ((~![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | (k6_relset_1(A, B, C) = k4_relat_1(C)))) | (~m1_relset_1(E!4, A!2, B!1)) | (k6_relset_1(A!2, B!1, E!4) = k4_relat_1(E!4))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[131, 130])).
% 56.05/35.09 tff(133,plain,
% 56.05/35.09 (k6_relset_1(A!2, B!1, E!4) = k4_relat_1(E!4)),
% 56.05/35.09 inference(unit_resolution,[status(thm)],[132, 129, 119])).
% 56.05/35.09 tff(134,plain,
% 56.05/35.09 (k4_relat_1(E!4) = k6_relset_1(A!2, B!1, E!4)),
% 56.05/35.09 inference(symmetry,[status(thm)],[133])).
% 56.05/35.09 tff(135,plain,
% 56.05/35.09 (k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)) = k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4))),
% 56.05/35.09 inference(monotonicity,[status(thm)],[134])).
% 56.05/35.09 tff(136,plain,
% 56.05/35.09 (k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)) = k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4))),
% 56.05/35.09 inference(symmetry,[status(thm)],[135])).
% 56.05/35.09 tff(137,plain,
% 56.05/35.09 (m1_subset_1(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k1_zfmisc_1(A!2)) <=> m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2))),
% 56.05/35.09 inference(monotonicity,[status(thm)],[136])).
% 56.05/35.09 tff(138,plain,
% 56.05/35.09 (m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)) <=> m1_subset_1(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k1_zfmisc_1(A!2))),
% 56.05/35.09 inference(symmetry,[status(thm)],[137])).
% 56.05/35.09 tff(139,plain,
% 56.05/35.09 (m2_relset_1(k4_relat_1(E!4), B!1, A!2) <=> m2_relset_1(k6_relset_1(A!2, B!1, E!4), B!1, A!2)),
% 56.05/35.09 inference(monotonicity,[status(thm)],[134])).
% 56.05/35.09 tff(140,plain,
% 56.05/35.09 (m2_relset_1(k6_relset_1(A!2, B!1, E!4), B!1, A!2) <=> m2_relset_1(k4_relat_1(E!4), B!1, A!2)),
% 56.05/35.09 inference(symmetry,[status(thm)],[139])).
% 56.05/35.09 tff(141,plain,
% 56.05/35.09 (^[A: $i, B: $i, C: $i] : refl(((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A)) <=> ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A)))),
% 56.05/35.09 inference(bind,[status(th)],[])).
% 56.05/35.09 tff(142,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A)) <=> ![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))),
% 56.05/35.09 inference(quant_intro,[status(thm)],[141])).
% 56.05/35.09 tff(143,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A)) <=> ![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))),
% 56.05/35.09 inference(rewrite,[status(thm)],[])).
% 56.05/35.09 tff(144,plain,
% 56.05/35.09 (^[A: $i, B: $i, C: $i] : rewrite((m1_relset_1(C, A, B) => m2_relset_1(k6_relset_1(A, B, C), B, A)) <=> ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A)))),
% 56.05/35.09 inference(bind,[status(th)],[])).
% 56.05/35.09 tff(145,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : (m1_relset_1(C, A, B) => m2_relset_1(k6_relset_1(A, B, C), B, A)) <=> ![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))),
% 56.05/35.09 inference(quant_intro,[status(thm)],[144])).
% 56.05/35.09 tff(146,axiom,(![A: $i, B: $i, C: $i] : (m1_relset_1(C, A, B) => m2_relset_1(k6_relset_1(A, B, C), B, A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k6_relset_1')).
% 56.05/35.09 tff(147,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[146, 145])).
% 56.05/35.09 tff(148,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[147, 143])).
% 56.05/35.09 tff(149,plain,(
% 56.05/35.09 ![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))),
% 56.05/35.09 inference(skolemize,[status(sab)],[148])).
% 56.05/35.09 tff(150,plain,
% 56.05/35.09 (![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[149, 142])).
% 56.05/35.09 tff(151,plain,
% 56.05/35.09 (((~![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))) | ((~m1_relset_1(E!4, A!2, B!1)) | m2_relset_1(k6_relset_1(A!2, B!1, E!4), B!1, A!2))) <=> ((~![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))) | (~m1_relset_1(E!4, A!2, B!1)) | m2_relset_1(k6_relset_1(A!2, B!1, E!4), B!1, A!2))),
% 56.05/35.09 inference(rewrite,[status(thm)],[])).
% 56.05/35.09 tff(152,plain,
% 56.05/35.09 ((~![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))) | ((~m1_relset_1(E!4, A!2, B!1)) | m2_relset_1(k6_relset_1(A!2, B!1, E!4), B!1, A!2))),
% 56.05/35.09 inference(quant_inst,[status(thm)],[])).
% 56.05/35.09 tff(153,plain,
% 56.05/35.09 ((~![A: $i, B: $i, C: $i] : ((~m1_relset_1(C, A, B)) | m2_relset_1(k6_relset_1(A, B, C), B, A))) | (~m1_relset_1(E!4, A!2, B!1)) | m2_relset_1(k6_relset_1(A!2, B!1, E!4), B!1, A!2)),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[152, 151])).
% 56.05/35.09 tff(154,plain,
% 56.05/35.09 (m2_relset_1(k6_relset_1(A!2, B!1, E!4), B!1, A!2)),
% 56.05/35.09 inference(unit_resolution,[status(thm)],[153, 150, 119])).
% 56.05/35.09 tff(155,plain,
% 56.05/35.09 (m2_relset_1(k4_relat_1(E!4), B!1, A!2)),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[154, 140])).
% 56.05/35.09 tff(156,plain,
% 56.05/35.09 (((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ((~m2_relset_1(k4_relat_1(E!4), B!1, A!2)) | m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2))))) <=> ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (~m2_relset_1(k4_relat_1(E!4), B!1, A!2)) | m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2))))),
% 56.05/35.09 inference(rewrite,[status(thm)],[])).
% 56.05/35.09 tff(157,plain,
% 56.05/35.09 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ((~m2_relset_1(k4_relat_1(E!4), B!1, A!2)) | m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2))))),
% 56.05/35.09 inference(quant_inst,[status(thm)],[])).
% 56.05/35.09 tff(158,plain,
% 56.05/35.09 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (~m2_relset_1(k4_relat_1(E!4), B!1, A!2)) | m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[157, 156])).
% 56.05/35.09 tff(159,plain,
% 56.05/35.09 ((~m2_relset_1(k4_relat_1(E!4), B!1, A!2)) | m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))),
% 56.05/35.09 inference(unit_resolution,[status(thm)],[158, 10])).
% 56.05/35.09 tff(160,plain,
% 56.05/35.09 (m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))),
% 56.05/35.09 inference(unit_resolution,[status(thm)],[159, 155])).
% 56.05/35.09 tff(161,plain,
% 56.05/35.09 (m1_subset_1(D!3, k1_zfmisc_1(B!1))),
% 56.05/35.09 inference(and_elim,[status(thm)],[26])).
% 56.05/35.09 tff(162,plain,
% 56.05/35.09 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)))),
% 56.05/35.09 inference(rewrite,[status(thm)],[])).
% 56.05/35.09 tff(163,plain,
% 56.05/35.09 ((m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1)))) <=> ((~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)))),
% 56.05/35.09 inference(rewrite,[status(thm)],[])).
% 56.05/35.09 tff(164,plain,
% 56.05/35.09 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2))))),
% 56.05/35.09 inference(monotonicity,[status(thm)],[163])).
% 56.05/35.09 tff(165,plain,
% 56.05/35.09 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)))),
% 56.05/35.09 inference(transitivity,[status(thm)],[164, 162])).
% 56.05/35.09 tff(166,plain,
% 56.05/35.09 ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2)) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1))))),
% 56.05/35.09 inference(quant_inst,[status(thm)],[])).
% 56.05/35.09 tff(167,plain,
% 56.05/35.09 ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k8_relset_2(A, B, C, D), k1_zfmisc_1(B)) | (~m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) | (~m1_subset_1(C, k1_zfmisc_1(A))))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | (~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[166, 165])).
% 56.05/35.09 tff(168,plain,
% 56.05/35.09 ((~m1_subset_1(k4_relat_1(E!4), k1_zfmisc_1(k2_zfmisc_1(B!1, A!2)))) | m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2))),
% 56.05/35.09 inference(unit_resolution,[status(thm)],[167, 161, 69])).
% 56.05/35.09 tff(169,plain,
% 56.05/35.09 (m1_subset_1(k8_relset_2(B!1, A!2, D!3, k4_relat_1(E!4)), k1_zfmisc_1(A!2))),
% 56.05/35.09 inference(unit_resolution,[status(thm)],[168, 160])).
% 56.05/35.09 tff(170,plain,
% 56.05/35.09 (m1_subset_1(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k1_zfmisc_1(A!2))),
% 56.05/35.09 inference(modus_ponens,[status(thm)],[169, 138])).
% 56.05/35.09 tff(171,plain,
% 56.05/35.09 (((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))) | ((~m1_subset_1(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))) | (~m1_subset_1(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))))),
% 56.05/35.10 inference(rewrite,[status(thm)],[])).
% 56.05/35.10 tff(172,plain,
% 56.05/35.10 ((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))) | ((~m1_subset_1(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))))),
% 56.05/35.10 inference(quant_inst,[status(thm)],[])).
% 56.05/35.10 tff(173,plain,
% 56.05/35.10 ((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(A))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B))) | ![E: $i] : ((~m2_relset_1(E, A, B)) | (r1_tarski(C, k8_relset_2(B, A, D, k6_relset_1(A, B, E))) <=> r1_tarski(D, k8_relset_2(A, B, C, E))))))) | (~m1_subset_1(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))),
% 56.05/35.10 inference(modus_ponens,[status(thm)],[172, 171])).
% 56.05/35.10 tff(174,plain,
% 56.05/35.10 ((~m1_subset_1(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k1_zfmisc_1(A!2))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))),
% 56.05/35.10 inference(unit_resolution,[status(thm)],[173, 90])).
% 56.05/35.10 tff(175,plain,
% 56.05/35.10 (![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))),
% 56.05/35.10 inference(unit_resolution,[status(thm)],[174, 170])).
% 56.05/35.10 tff(176,plain,
% 56.05/35.10 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))),
% 56.05/35.10 inference(rewrite,[status(thm)],[])).
% 56.05/35.10 tff(177,plain,
% 56.05/35.10 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))),
% 56.05/35.10 inference(quant_inst,[status(thm)],[])).
% 56.05/35.10 tff(178,plain,
% 56.05/35.10 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E)))))) | (~m1_subset_1(D!3, k1_zfmisc_1(B!1))) | ![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))),
% 56.05/35.10 inference(modus_ponens,[status(thm)],[177, 176])).
% 56.05/35.10 tff(179,plain,
% 56.05/35.10 (![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))),
% 56.05/35.10 inference(unit_resolution,[status(thm)],[178, 161, 175])).
% 56.05/35.10 tff(180,plain,
% 56.05/35.10 (((~![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))) | ((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))) <=> ((~![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))) | (~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))),
% 56.05/35.10 inference(rewrite,[status(thm)],[])).
% 56.05/35.10 tff(181,plain,
% 56.05/35.10 ((~![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))) | ((~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))),
% 56.05/35.11 inference(quant_inst,[status(thm)],[])).
% 56.05/35.11 tff(182,plain,
% 56.05/35.11 ((~![E: $i] : ((~m2_relset_1(E, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E))))) | (~m2_relset_1(E!4, A!2, B!1)) | (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))),
% 56.05/35.11 inference(modus_ponens,[status(thm)],[181, 180])).
% 56.05/35.11 tff(183,plain,
% 56.05/35.11 (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))),
% 56.05/35.11 inference(unit_resolution,[status(thm)],[182, 28, 179])).
% 56.05/35.11 tff(184,plain,
% 56.05/35.11 (^[A: $i] : refl(r1_tarski(A, A) <=> r1_tarski(A, A))),
% 56.05/35.11 inference(bind,[status(th)],[])).
% 56.05/35.11 tff(185,plain,
% 56.05/35.11 (![A: $i] : r1_tarski(A, A) <=> ![A: $i] : r1_tarski(A, A)),
% 56.05/35.11 inference(quant_intro,[status(thm)],[184])).
% 56.05/35.11 tff(186,plain,
% 56.05/35.11 (![A: $i] : r1_tarski(A, A) <=> ![A: $i] : r1_tarski(A, A)),
% 56.05/35.11 inference(rewrite,[status(thm)],[])).
% 56.05/35.11 tff(187,plain,
% 56.05/35.11 (![A: $i, B: $i] : r1_tarski(A, A) <=> ![A: $i] : r1_tarski(A, A)),
% 56.05/35.11 inference(elim_unused_vars,[status(thm)],[])).
% 56.05/35.11 tff(188,axiom,(![A: $i, B: $i] : r1_tarski(A, A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reflexivity_r1_tarski')).
% 56.05/35.11 tff(189,plain,
% 56.05/35.11 (![A: $i] : r1_tarski(A, A)),
% 56.05/35.11 inference(modus_ponens,[status(thm)],[188, 187])).
% 56.05/35.11 tff(190,plain,
% 56.05/35.11 (![A: $i] : r1_tarski(A, A)),
% 56.05/35.11 inference(modus_ponens,[status(thm)],[189, 186])).
% 56.05/35.11 tff(191,plain,(
% 56.05/35.11 ![A: $i] : r1_tarski(A, A)),
% 56.05/35.11 inference(skolemize,[status(sab)],[190])).
% 56.05/35.11 tff(192,plain,
% 56.05/35.11 (![A: $i] : r1_tarski(A, A)),
% 56.05/35.11 inference(modus_ponens,[status(thm)],[191, 185])).
% 56.05/35.11 tff(193,plain,
% 56.05/35.11 ((~![A: $i] : r1_tarski(A, A)) | r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)))),
% 56.05/35.11 inference(quant_inst,[status(thm)],[])).
% 56.05/35.11 tff(194,plain,
% 56.05/35.11 (r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)))),
% 56.05/35.11 inference(unit_resolution,[status(thm)],[193, 192])).
% 56.05/35.11 tff(195,plain,
% 56.05/35.11 ((~(r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))) | (~r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)))) | r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))),
% 56.05/35.11 inference(tautology,[status(thm)],[])).
% 56.05/35.11 tff(196,plain,
% 56.05/35.11 ((~(r1_tarski(k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))) | r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))),
% 56.05/35.11 inference(unit_resolution,[status(thm)],[195, 194])).
% 56.05/35.11 tff(197,plain,
% 56.05/35.11 (r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))),
% 56.05/35.11 inference(unit_resolution,[status(thm)],[196, 183])).
% 56.05/35.11 tff(198,plain,
% 56.05/35.11 ((~(~((~r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))) | (~r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))))) <=> ((~r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))) | (~r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))),
% 56.16/35.19 inference(rewrite,[status(thm)],[])).
% 56.16/35.19 tff(199,plain,
% 56.16/35.19 ((r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))) <=> (~((~r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))) | (~r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))))),
% 56.16/35.19 inference(rewrite,[status(thm)],[])).
% 56.16/35.19 tff(200,plain,
% 56.16/35.19 ((~(r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))) <=> (~(~((~r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))) | (~r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))))),
% 56.16/35.19 inference(monotonicity,[status(thm)],[199])).
% 56.16/35.19 tff(201,plain,
% 56.16/35.19 ((~(r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))) <=> ((~r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))) | (~r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4))))),
% 56.16/35.19 inference(transitivity,[status(thm)],[200, 198])).
% 56.16/35.19 tff(202,plain,
% 56.16/35.19 (~(r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) & r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))),
% 56.16/35.19 inference(or_elim,[status(thm)],[27])).
% 56.16/35.19 tff(203,plain,
% 56.16/35.19 ((~r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))) | (~r1_tarski(D!3, k8_relset_2(A!2, B!1, k8_relset_2(B!1, A!2, D!3, k6_relset_1(A!2, B!1, E!4)), E!4)))),
% 56.16/35.19 inference(modus_ponens,[status(thm)],[202, 201])).
% 56.16/35.19 tff(204,plain,
% 56.16/35.19 (~r1_tarski(C!0, k8_relset_2(B!1, A!2, k8_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))),
% 56.16/35.19 inference(unit_resolution,[status(thm)],[203, 197])).
% 56.16/35.19 tff(205,plain,
% 56.16/35.19 (~r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4)))),
% 56.16/35.19 inference(modus_ponens,[status(thm)],[204, 107])).
% 56.16/35.19 tff(206,plain,
% 56.16/35.19 (r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k7_relset_2(A!2, B!1, C!0, E!4)) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4))),
% 56.16/35.19 inference(monotonicity,[status(thm)],[54])).
% 56.16/35.19 tff(207,plain,
% 56.16/35.19 ((~![A: $i] : r1_tarski(A, A)) | r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k7_relset_2(A!2, B!1, C!0, E!4))),
% 56.16/35.19 inference(quant_inst,[status(thm)],[])).
% 56.16/35.19 tff(208,plain,
% 56.16/35.19 (r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k7_relset_2(A!2, B!1, C!0, E!4))),
% 56.16/35.19 inference(unit_resolution,[status(thm)],[207, 192])).
% 56.16/35.19 tff(209,plain,
% 56.16/35.19 (r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4))),
% 56.16/35.19 inference(modus_ponens,[status(thm)],[208, 206])).
% 56.16/35.19 tff(210,plain,
% 56.16/35.19 ((~(r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) <=> r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4)))) | r1_tarski(C!0, k8_relset_2(B!1, A!2, k7_relset_2(A!2, B!1, C!0, E!4), k6_relset_1(A!2, B!1, E!4))) | (~r1_tarski(k7_relset_2(A!2, B!1, C!0, E!4), k8_relset_2(A!2, B!1, C!0, E!4)))),
% 56.16/35.19 inference(tautology,[status(thm)],[])).
% 56.16/35.19 tff(211,plain,
% 56.16/35.19 ($false),
% 56.16/35.19 inference(unit_resolution,[status(thm)],[210, 209, 205, 103])).
% 56.16/35.19 % SZS output end Proof
%------------------------------------------------------------------------------