%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SEU435+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:27:56 AM UTC 2025
% Result : Theorem 0.23s 0.40s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SEU435+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 20 07:19:39 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.23/0.40 % SZS status Theorem
% 0.23/0.40 % SZS output start Proof
% 0.23/0.40 tff(m1_subset_1_type, type, (
% 0.23/0.40 m1_subset_1: ( $i * $i ) > $o)).
% 0.23/0.40 tff(k1_zfmisc_1_type, type, (
% 0.23/0.40 k1_zfmisc_1: $i > $i)).
% 0.23/0.40 tff(k2_zfmisc_1_type, type, (
% 0.23/0.40 k2_zfmisc_1: ( $i * $i ) > $i)).
% 0.23/0.40 tff(a_6_0_relset_2_type, type, (
% 0.23/0.40 a_6_0_relset_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 0.23/0.40 tff(tptp_fun_E_4_type, type, (
% 0.23/0.40 tptp_fun_E_4: $i)).
% 0.23/0.40 tff(tptp_fun_F_3_type, type, (
% 0.23/0.40 tptp_fun_F_3: $i)).
% 0.23/0.40 tff(tptp_fun_D_5_type, type, (
% 0.23/0.40 tptp_fun_D_5: $i)).
% 0.23/0.40 tff(tptp_fun_C_0_type, type, (
% 0.23/0.40 tptp_fun_C_0: $i)).
% 0.23/0.40 tff(tptp_fun_B_1_type, type, (
% 0.23/0.40 tptp_fun_B_1: $i)).
% 0.23/0.40 tff(tptp_fun_A_2_type, type, (
% 0.23/0.40 tptp_fun_A_2: $i)).
% 0.23/0.40 tff(1,plain,
% 0.23/0.40 (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : refl((m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))) <=> (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))))),
% 0.23/0.40 inference(bind,[status(th)],[])).
% 0.23/0.40 tff(2,plain,
% 0.23/0.40 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))),
% 0.23/0.40 inference(quant_intro,[status(thm)],[1])).
% 0.23/0.40 tff(3,plain,
% 0.23/0.40 (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : trans(monotonicity(trans(monotonicity(rewrite((m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D))) <=> (~((~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))))), ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) <=> (~(~((~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))))))), rewrite((~(~((~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))))) <=> ((~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))), ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) <=> ((~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))))), (((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))) <=> (((~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))), rewrite((((~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))) <=> (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))), (((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))) <=> (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))))),
% 0.23/0.40 inference(bind,[status(th)],[])).
% 0.23/0.40 tff(4,plain,
% 0.23/0.40 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))),
% 0.23/0.40 inference(quant_intro,[status(thm)],[3])).
% 0.23/0.40 tff(5,plain,
% 0.23/0.40 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))))),
% 0.23/0.40 inference(rewrite,[status(thm)],[])).
% 0.23/0.40 tff(6,plain,
% 0.23/0.40 (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : rewrite(((m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D))) => m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))) <=> ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))),
% 0.23/0.40 inference(bind,[status(th)],[])).
% 0.23/0.40 tff(7,plain,
% 0.23/0.40 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D))) => m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))))),
% 0.23/0.40 inference(quant_intro,[status(thm)],[6])).
% 0.23/0.40 tff(8,axiom,(![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D))) => m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','s8_domain_1__e1_46__relset_2')).
% 0.23/0.40 tff(9,plain,
% 0.23/0.40 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))))),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.23/0.40 tff(10,plain,
% 0.23/0.40 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))))),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.23/0.40 tff(11,plain,(
% 0.23/0.40 ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) & m1_subset_1(F, k1_zfmisc_1(D)))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))))),
% 0.23/0.40 inference(skolemize,[status(sab)],[10])).
% 0.23/0.40 tff(12,plain,
% 0.23/0.40 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.23/0.40 tff(13,plain,
% 0.23/0.40 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.23/0.40 tff(14,plain,
% 0.23/0.40 ((~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ![D: $i, E: $i, F: $i] : ((~m1_subset_1(F, k1_zfmisc_1(D))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))) <=> (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ![D: $i, E: $i, F: $i] : ((~m1_subset_1(F, k1_zfmisc_1(D))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))))))),
% 0.23/0.40 inference(rewrite,[status(thm)],[])).
% 0.23/0.40 tff(15,plain,
% 0.23/0.40 ((~![A: $i, B: $i, C: $i] : (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) => ![D: $i, E: $i, F: $i] : (m1_subset_1(F, k1_zfmisc_1(D)) => m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))) <=> (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ![D: $i, E: $i, F: $i] : ((~m1_subset_1(F, k1_zfmisc_1(D))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))))))),
% 0.23/0.41 inference(rewrite,[status(thm)],[])).
% 0.23/0.41 tff(16,axiom,(~![A: $i, B: $i, C: $i] : (m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B)))) => ![D: $i, E: $i, F: $i] : (m1_subset_1(F, k1_zfmisc_1(D)) => m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t36_relset_2')).
% 0.23/0.41 tff(17,plain,
% 0.23/0.41 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ![D: $i, E: $i, F: $i] : ((~m1_subset_1(F, k1_zfmisc_1(D))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.23/0.41 tff(18,plain,
% 0.23/0.41 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ![D: $i, E: $i, F: $i] : ((~m1_subset_1(F, k1_zfmisc_1(D))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[17, 14])).
% 0.23/0.41 tff(19,plain,
% 0.23/0.41 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ![D: $i, E: $i, F: $i] : ((~m1_subset_1(F, k1_zfmisc_1(D))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.23/0.41 tff(20,plain,
% 0.23/0.41 (~![A: $i, B: $i, C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ![D: $i, E: $i, F: $i] : ((~m1_subset_1(F, k1_zfmisc_1(D))) | m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E)))))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[19, 14])).
% 0.23/0.41 tff(21,plain,
% 0.23/0.41 (~((~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))))),
% 0.23/0.41 inference(and_elim,[status(thm)],[20])).
% 0.23/0.41 tff(22,plain,
% 0.23/0.41 (~m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4)))),
% 0.23/0.41 inference(or_elim,[status(thm)],[21])).
% 0.23/0.41 tff(23,plain,
% 0.23/0.41 (m1_subset_1(F!3, k1_zfmisc_1(D!5))),
% 0.23/0.41 inference(or_elim,[status(thm)],[21])).
% 0.23/0.41 tff(24,plain,
% 0.23/0.41 (m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))),
% 0.23/0.41 inference(and_elim,[status(thm)],[20])).
% 0.23/0.41 tff(25,plain,
% 0.23/0.41 (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | ((~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | (~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))))),
% 0.23/0.41 inference(rewrite,[status(thm)],[])).
% 0.23/0.41 tff(26,plain,
% 0.23/0.41 ((m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | (~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1)))))) <=> ((~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))))),
% 0.23/0.41 inference(rewrite,[status(thm)],[])).
% 0.23/0.41 tff(27,plain,
% 0.23/0.41 (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | (m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | (~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | ((~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4)))))),
% 0.23/0.41 inference(monotonicity,[status(thm)],[26])).
% 0.23/0.41 tff(28,plain,
% 0.23/0.41 (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | (m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | (~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | (~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))))),
% 0.23/0.41 inference(transitivity,[status(thm)],[27, 25])).
% 0.23/0.41 tff(29,plain,
% 0.23/0.41 ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | (m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | (~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))))),
% 0.23/0.41 inference(quant_inst,[status(thm)],[])).
% 0.23/0.41 tff(30,plain,
% 0.23/0.41 ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | (~m1_subset_1(C!0, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!2, B!1))))) | (~m1_subset_1(F!3, k1_zfmisc_1(D!5))) | m1_subset_1(a_6_0_relset_2(A!2, B!1, C!0, D!5, E!4, F!3), k1_zfmisc_1(k1_zfmisc_1(E!4)))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.23/0.41 tff(31,plain,
% 0.23/0.41 ($false),
% 0.23/0.41 inference(unit_resolution,[status(thm)],[30, 24, 23, 22, 13])).
% 0.23/0.41 % SZS output end Proof
% 0.23/0.41 % E exiting
%------------------------------------------------------------------------------