%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SEU435+3 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 05:27:57 AM UTC 2025
% Result : Theorem 214.33s 214.58s
% Output : Proof 216.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU435+3 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 07:19:22 EDT 2025
% 0.12/0.33 % CPUTime :
% 214.33/214.58 % SZS status Theorem
% 214.33/214.58 % SZS output start Proof
% 214.33/214.58 tff(m1_subset_1_type, type, (
% 214.33/214.58 m1_subset_1: ( $i * $i ) > $o)).
% 214.33/214.58 tff(k1_zfmisc_1_type, type, (
% 214.33/214.58 k1_zfmisc_1: $i > $i)).
% 214.33/214.58 tff(tptp_fun_E_6307_type, type, (
% 214.33/214.58 tptp_fun_E_6307: $i)).
% 214.33/214.58 tff(a_6_0_relset_2_type, type, (
% 214.33/214.58 a_6_0_relset_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 214.33/214.58 tff(tptp_fun_F_6306_type, type, (
% 214.33/214.58 tptp_fun_F_6306: $i)).
% 214.33/214.58 tff(tptp_fun_D_6308_type, type, (
% 214.33/214.58 tptp_fun_D_6308: $i)).
% 214.33/214.58 tff(tptp_fun_C_6303_type, type, (
% 214.33/214.58 tptp_fun_C_6303: $i)).
% 214.33/214.58 tff(tptp_fun_B_6304_type, type, (
% 214.33/214.58 tptp_fun_B_6304: $i)).
% 214.33/214.58 tff(tptp_fun_A_6305_type, type, (
% 214.33/214.58 tptp_fun_A_6305: $i)).
% 214.33/214.58 tff(k2_zfmisc_1_type, type, (
% 214.33/214.58 k2_zfmisc_1: ( $i * $i ) > $i)).
% 214.33/214.58 tff(1,plain,
% 214.33/214.58 ((~![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))))))),
% 214.33/214.58 inference(rewrite,[status(thm)],[])).
% 214.33/214.58 tff(2,plain,
% 214.33/214.58 ((~![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))))))),
% 214.33/214.58 inference(rewrite,[status(thm)],[])).
% 214.33/214.58 tff(3,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')).
% 214.33/214.58 tff(4,plain,
% 214.33/214.58 (~![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)))))),
% 214.33/214.58 inference(modus_ponens,[status(thm)],[3, 2])).
% 214.33/214.58 tff(5,plain,
% 214.33/214.58 (~![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)))))),
% 214.33/214.58 inference(modus_ponens,[status(thm)],[4, 1])).
% 214.33/214.58 tff(6,plain,
% 214.33/214.58 (~![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)))))),
% 214.33/214.58 inference(modus_ponens,[status(thm)],[5, 1])).
% 214.33/214.58 tff(7,plain,
% 214.33/214.58 (~![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)))))),
% 214.33/214.58 inference(modus_ponens,[status(thm)],[6, 1])).
% 214.33/214.58 tff(8,plain,
% 214.33/214.58 (~((~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))))),
% 214.33/214.58 inference(and_elim,[status(thm)],[7])).
% 214.33/214.58 tff(9,plain,
% 214.33/214.58 (~m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307)))),
% 214.33/214.58 inference(or_elim,[status(thm)],[8])).
% 214.33/214.58 tff(10,plain,
% 214.33/214.58 (m1_subset_1(F!6306, k1_zfmisc_1(D!6308))),
% 214.33/214.58 inference(or_elim,[status(thm)],[8])).
% 214.33/214.58 tff(11,plain,
% 214.33/214.58 (m1_subset_1(C!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))),
% 214.33/214.58 inference(and_elim,[status(thm)],[7])).
% 214.33/214.58 tff(12,plain,
% 214.33/214.58 (^[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)))))))),
% 214.33/214.58 inference(bind,[status(th)],[])).
% 214.33/214.58 tff(13,plain,
% 214.33/214.58 (![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))))))),
% 214.33/214.58 inference(quant_intro,[status(thm)],[12])).
% 214.33/214.58 tff(14,plain,
% 214.33/214.58 (^[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))))))))),
% 214.33/214.58 inference(bind,[status(th)],[])).
% 214.33/214.58 tff(15,plain,
% 214.33/214.58 (![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))))))),
% 214.33/214.58 inference(quant_intro,[status(thm)],[14])).
% 214.33/214.58 tff(16,plain,
% 214.33/214.58 (![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))))),
% 214.33/214.58 inference(rewrite,[status(thm)],[])).
% 214.33/214.58 tff(17,plain,
% 214.33/214.58 (^[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)))))),
% 214.33/214.58 inference(bind,[status(th)],[])).
% 214.33/214.58 tff(18,plain,
% 214.33/214.58 (![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))))),
% 214.33/214.58 inference(quant_intro,[status(thm)],[17])).
% 214.33/214.58 tff(19,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')).
% 214.33/214.58 tff(20,plain,
% 214.33/214.58 (![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))))),
% 214.33/214.58 inference(modus_ponens,[status(thm)],[19, 18])).
% 214.33/214.58 tff(21,plain,
% 214.33/214.58 (![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))))),
% 214.33/214.58 inference(modus_ponens,[status(thm)],[20, 16])).
% 214.33/214.58 tff(22,plain,(
% 214.33/214.58 ![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))))),
% 214.33/214.58 inference(skolemize,[status(sab)],[21])).
% 214.33/214.58 tff(23,plain,
% 214.33/214.58 (![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))))))),
% 214.33/214.58 inference(modus_ponens,[status(thm)],[22, 15])).
% 214.33/214.58 tff(24,plain,
% 214.33/214.58 (![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))))))),
% 214.33/214.58 inference(modus_ponens,[status(thm)],[23, 13])).
% 214.33/214.58 tff(25,plain,
% 214.33/214.58 (((~![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!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))))) <=> ((~![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!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))))),
% 214.33/214.58 inference(rewrite,[status(thm)],[])).
% 214.33/214.58 tff(26,plain,
% 214.33/214.58 ((m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | (~m1_subset_1(C!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304)))))) <=> ((~m1_subset_1(C!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))))),
% 216.06/216.25 inference(rewrite,[status(thm)],[])).
% 216.06/216.25 tff(27,plain,
% 216.06/216.25 (((~![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!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | (~m1_subset_1(C!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))))) <=> ((~![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!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307)))))),
% 216.06/216.25 inference(monotonicity,[status(thm)],[26])).
% 216.06/216.25 tff(28,plain,
% 216.06/216.25 (((~![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!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | (~m1_subset_1(C!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))))) <=> ((~![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!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))))),
% 216.06/216.25 inference(transitivity,[status(thm)],[27, 25])).
% 216.06/216.25 tff(29,plain,
% 216.06/216.25 ((~![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!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | (~m1_subset_1(C!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))))),
% 216.06/216.25 inference(quant_inst,[status(thm)],[])).
% 216.06/216.25 tff(30,plain,
% 216.06/216.25 ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m1_subset_1(a_6_0_relset_2(A, B, C, D, E, F), k1_zfmisc_1(k1_zfmisc_1(E))) | (~m1_subset_1(F, k1_zfmisc_1(D))) | (~m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A, B))))))) | (~m1_subset_1(C!6303, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A!6305, B!6304))))) | (~m1_subset_1(F!6306, k1_zfmisc_1(D!6308))) | m1_subset_1(a_6_0_relset_2(A!6305, B!6304, C!6303, D!6308, E!6307, F!6306), k1_zfmisc_1(k1_zfmisc_1(E!6307)))),
% 216.06/216.25 inference(modus_ponens,[status(thm)],[29, 28])).
% 216.06/216.25 tff(31,plain,
% 216.06/216.25 ($false),
% 216.06/216.25 inference(unit_resolution,[status(thm)],[30, 24, 11, 10, 9])).
% 216.06/216.25 % SZS output end Proof
% 216.53/216.72 % E exiting
%------------------------------------------------------------------------------