TSTP Solution File: TOP023+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 : Fri Sep 30 01:55:51 EDT 2022
% Result : Theorem 0.47s 0.62s
% Output : Proof 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% 0.14/0.16 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.37 % Computer : n028.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon Aug 29 09:38:02 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.21/0.38 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.21/0.38 Usage: tptp [options] [-file:]file
% 0.21/0.38 -h, -? prints this message.
% 0.21/0.38 -smt2 print SMT-LIB2 benchmark.
% 0.21/0.38 -m, -model generate model.
% 0.21/0.38 -p, -proof generate proof.
% 0.21/0.38 -c, -core generate unsat core of named formulas.
% 0.21/0.38 -st, -statistics display statistics.
% 0.21/0.38 -t:timeout set timeout (in second).
% 0.21/0.38 -smt2status display status in smt2 format instead of SZS.
% 0.21/0.38 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.21/0.38 -<param>:<value> configuration parameter and value.
% 0.21/0.38 -o:<output-file> file to place output in.
% 0.47/0.62 % SZS status Theorem
% 0.47/0.62 % SZS output start Proof
% 0.47/0.62 tff(m1_subset_1_type, type, (
% 0.47/0.62 m1_subset_1: ( $i * $i ) > $o)).
% 0.47/0.62 tff(k1_zfmisc_1_type, type, (
% 0.47/0.62 k1_zfmisc_1: $i > $i)).
% 0.47/0.62 tff(u1_struct_0_type, type, (
% 0.47/0.62 u1_struct_0: $i > $i)).
% 0.47/0.62 tff(tptp_fun_A_0_type, type, (
% 0.47/0.62 tptp_fun_A_0: $i)).
% 0.47/0.62 tff(tptp_fun_C_4_type, type, (
% 0.47/0.62 tptp_fun_C_4: ( $i * $i ) > $i)).
% 0.47/0.62 tff(tptp_fun_B_1_type, type, (
% 0.47/0.62 tptp_fun_B_1: $i)).
% 0.47/0.62 tff(tptp_fun_D_3_type, type, (
% 0.47/0.62 tptp_fun_D_3: $i)).
% 0.47/0.62 tff(u1_pre_topc_type, type, (
% 0.47/0.62 u1_pre_topc: $i > $i)).
% 0.47/0.62 tff(g1_pre_topc_type, type, (
% 0.47/0.62 g1_pre_topc: ( $i * $i ) > $i)).
% 0.47/0.62 tff(v1_tsp_2_type, type, (
% 0.47/0.62 v1_tsp_2: ( $i * $i ) > $o)).
% 0.47/0.62 tff(tptp_fun_C_2_type, type, (
% 0.47/0.62 tptp_fun_C_2: $i)).
% 0.47/0.62 tff(l1_pre_topc_type, type, (
% 0.47/0.62 l1_pre_topc: $i > $o)).
% 0.47/0.62 tff(r1_tarski_type, type, (
% 0.47/0.62 r1_tarski: ( $i * $i ) > $o)).
% 0.47/0.62 tff(v1_tsp_1_type, type, (
% 0.47/0.62 v1_tsp_1: ( $i * $i ) > $o)).
% 0.47/0.62 tff(1,plain,
% 0.47/0.62 ((l1_pre_topc(A!0) & (l1_pre_topc(B!1) & m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))) <=> (l1_pre_topc(A!0) & l1_pre_topc(B!1) & m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(2,plain,
% 0.47/0.62 ((l1_pre_topc(B!1) & (m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))) <=> (l1_pre_topc(B!1) & m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(3,plain,
% 0.47/0.62 (((~(~m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1))))))) <=> (m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(4,plain,
% 0.47/0.62 ((~(~l1_pre_topc(B!1))) <=> l1_pre_topc(B!1)),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(5,plain,
% 0.47/0.62 (((~(~l1_pre_topc(B!1))) & ((~(~m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))) <=> (l1_pre_topc(B!1) & (m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1))))))))),
% 0.47/0.62 inference(monotonicity,[status(thm)],[4, 3])).
% 0.47/0.62 tff(6,plain,
% 0.47/0.62 (((~(~l1_pre_topc(B!1))) & ((~(~m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))) <=> (l1_pre_topc(B!1) & m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))),
% 0.47/0.62 inference(transitivity,[status(thm)],[5, 2])).
% 0.47/0.62 tff(7,plain,
% 0.47/0.62 ((~(~l1_pre_topc(A!0))) <=> l1_pre_topc(A!0)),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(8,plain,
% 0.47/0.62 (((~(~l1_pre_topc(A!0))) & ((~(~l1_pre_topc(B!1))) & ((~(~m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1))))))))) <=> (l1_pre_topc(A!0) & (l1_pre_topc(B!1) & m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1))))))))),
% 0.47/0.62 inference(monotonicity,[status(thm)],[7, 6])).
% 0.47/0.62 tff(9,plain,
% 0.47/0.62 (((~(~l1_pre_topc(A!0))) & ((~(~l1_pre_topc(B!1))) & ((~(~m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1))))))))) <=> (l1_pre_topc(A!0) & l1_pre_topc(B!1) & m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))))),
% 0.47/0.62 inference(transitivity,[status(thm)],[8, 1])).
% 0.47/0.62 tff(10,plain,
% 0.47/0.62 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))))))) <=> (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))))))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(11,plain,
% 0.47/0.62 ((~![A: $i] : (l1_pre_topc(A) => ![B: $i] : (l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_2(C, A)) => v1_tsp_2(D, B))))))) <=> (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))))))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(12,axiom,(~![A: $i] : (l1_pre_topc(A) => ![B: $i] : (l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_2(C, A)) => v1_tsp_2(D, B))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t1_tsp_2')).
% 0.47/0.62 tff(13,plain,
% 0.47/0.62 (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.47/0.62 tff(14,plain,
% 0.47/0.62 (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.47/0.62 tff(15,plain,
% 0.47/0.62 (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.47/0.62 tff(16,plain,
% 0.47/0.62 (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[15, 10])).
% 0.47/0.62 tff(17,plain,
% 0.47/0.62 (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[16, 10])).
% 0.47/0.62 tff(18,plain,
% 0.47/0.62 (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[17, 10])).
% 0.47/0.62 tff(19,plain,
% 0.47/0.62 (~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_2(D, B) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_2(C, A))) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[18, 10])).
% 0.47/0.62 tff(20,plain,
% 0.47/0.62 (l1_pre_topc(A!0) & l1_pre_topc(B!1) & m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) & (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.47/0.62 tff(21,plain,
% 0.47/0.62 (~(v1_tsp_2(D!3, B!1) | (~((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))))),
% 0.47/0.62 inference(and_elim,[status(thm)],[20])).
% 0.47/0.62 tff(22,plain,
% 0.47/0.62 ((g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))) & (C!2 = D!3) & v1_tsp_2(C!2, A!0)),
% 0.47/0.62 inference(or_elim,[status(thm)],[21])).
% 0.47/0.62 tff(23,plain,
% 0.47/0.62 (g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))),
% 0.47/0.62 inference(and_elim,[status(thm)],[22])).
% 0.47/0.62 tff(24,plain,
% 0.47/0.62 (g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))),
% 0.47/0.62 inference(symmetry,[status(thm)],[23])).
% 0.47/0.62 tff(25,plain,
% 0.47/0.62 (^[A: $i] : refl(((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) <=> ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))),
% 0.47/0.62 inference(bind,[status(th)],[])).
% 0.47/0.62 tff(26,plain,
% 0.47/0.62 (![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))),
% 0.47/0.62 inference(quant_intro,[status(thm)],[25])).
% 0.47/0.62 tff(27,plain,
% 0.47/0.62 (![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(28,plain,
% 0.47/0.62 (^[A: $i] : rewrite((l1_pre_topc(A) => m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) <=> ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))),
% 0.47/0.62 inference(bind,[status(th)],[])).
% 0.47/0.62 tff(29,plain,
% 0.47/0.62 (![A: $i] : (l1_pre_topc(A) => m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))),
% 0.47/0.62 inference(quant_intro,[status(thm)],[28])).
% 0.47/0.62 tff(30,axiom,(![A: $i] : (l1_pre_topc(A) => m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_u1_pre_topc')).
% 0.47/0.62 tff(31,plain,
% 0.47/0.62 (![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.47/0.62 tff(32,plain,
% 0.47/0.62 (![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.47/0.62 tff(33,plain,(
% 0.47/0.62 ![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))),
% 0.47/0.62 inference(skolemize,[status(sab)],[32])).
% 0.47/0.62 tff(34,plain,
% 0.47/0.62 (![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[33, 26])).
% 0.47/0.62 tff(35,plain,
% 0.47/0.62 (l1_pre_topc(B!1)),
% 0.47/0.62 inference(and_elim,[status(thm)],[20])).
% 0.47/0.62 tff(36,plain,
% 0.47/0.62 (((~![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) | ((~l1_pre_topc(B!1)) | m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1)))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) | (~l1_pre_topc(B!1)) | m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1)))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(37,plain,
% 0.47/0.62 ((~![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) | ((~l1_pre_topc(B!1)) | m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1)))))),
% 0.47/0.62 inference(quant_inst,[status(thm)],[])).
% 0.47/0.62 tff(38,plain,
% 0.47/0.62 ((~![A: $i] : ((~l1_pre_topc(A)) | m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) | (~l1_pre_topc(B!1)) | m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.47/0.62 tff(39,plain,
% 0.47/0.62 (m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1))))),
% 0.47/0.62 inference(unit_resolution,[status(thm)],[38, 35, 34])).
% 0.47/0.62 tff(40,plain,
% 0.47/0.62 (^[A: $i, B: $i] : refl(((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D)))))))),
% 0.47/0.62 inference(bind,[status(th)],[])).
% 0.47/0.62 tff(41,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.47/0.62 inference(quant_intro,[status(thm)],[40])).
% 0.47/0.62 tff(42,plain,
% 0.47/0.62 (^[A: $i, B: $i] : rewrite(((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D)))))))),
% 0.47/0.62 inference(bind,[status(th)],[])).
% 0.47/0.62 tff(43,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.47/0.62 inference(quant_intro,[status(thm)],[42])).
% 0.47/0.62 tff(44,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.47/0.62 inference(transitivity,[status(thm)],[43, 41])).
% 0.47/0.62 tff(45,plain,
% 0.47/0.62 (^[A: $i, B: $i] : rewrite(((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D)))) <=> ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D)))))))),
% 0.47/0.62 inference(bind,[status(th)],[])).
% 0.47/0.62 tff(46,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D)))) <=> ![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.47/0.62 inference(quant_intro,[status(thm)],[45])).
% 0.47/0.62 tff(47,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D)))) <=> ![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(48,plain,
% 0.47/0.62 (^[A: $i, B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i, D: $i] : rewrite(((g1_pre_topc(A, B) = g1_pre_topc(C, D)) => ((A = C) & (B = D))) <=> ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))), (![C: $i, D: $i] : ((g1_pre_topc(A, B) = g1_pre_topc(C, D)) => ((A = C) & (B = D))) <=> ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))), ((m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => ![C: $i, D: $i] : ((g1_pre_topc(A, B) = g1_pre_topc(C, D)) => ((A = C) & (B = D)))) <=> (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D)))))), rewrite((m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D)))) <=> ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))), ((m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => ![C: $i, D: $i] : ((g1_pre_topc(A, B) = g1_pre_topc(C, D)) => ((A = C) & (B = D)))) <=> ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))))),
% 0.47/0.62 inference(bind,[status(th)],[])).
% 0.47/0.62 tff(49,plain,
% 0.47/0.62 (![A: $i, B: $i] : (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => ![C: $i, D: $i] : ((g1_pre_topc(A, B) = g1_pre_topc(C, D)) => ((A = C) & (B = D)))) <=> ![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))),
% 0.47/0.62 inference(quant_intro,[status(thm)],[48])).
% 0.47/0.62 tff(50,axiom,(![A: $i, B: $i] : (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => ![C: $i, D: $i] : ((g1_pre_topc(A, B) = g1_pre_topc(C, D)) => ((A = C) & (B = D))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','free_g1_pre_topc')).
% 0.47/0.62 tff(51,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.47/0.62 tff(52,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.47/0.62 tff(53,plain,(
% 0.47/0.62 ![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | ((A = C) & (B = D))))),
% 0.47/0.62 inference(skolemize,[status(sab)],[52])).
% 0.47/0.62 tff(54,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[53, 46])).
% 0.47/0.62 tff(55,plain,
% 0.47/0.62 (![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[54, 44])).
% 0.47/0.62 tff(56,plain,
% 0.47/0.62 (((~![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))) | ((~m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1))))) | ![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D))))))) <=> ((~![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))) | (~m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1))))) | ![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D))))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(57,plain,
% 0.47/0.62 ((~![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))) | ((~m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1))))) | ![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D))))))),
% 0.47/0.62 inference(quant_inst,[status(thm)],[])).
% 0.47/0.62 tff(58,plain,
% 0.47/0.62 ((~![A: $i, B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) | ![C: $i, D: $i] : ((~(g1_pre_topc(A, B) = g1_pre_topc(C, D))) | (~((~(A = C)) | (~(B = D))))))) | (~m1_subset_1(u1_pre_topc(B!1), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B!1))))) | ![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D)))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.47/0.62 tff(59,plain,
% 0.47/0.62 (![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D)))))),
% 0.47/0.62 inference(unit_resolution,[status(thm)],[58, 55, 39])).
% 0.47/0.62 tff(60,plain,
% 0.47/0.62 (((~![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D)))))) | ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_pre_topc(B!1) = u1_pre_topc(A!0))))))) <=> ((~![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D)))))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_pre_topc(B!1) = u1_pre_topc(A!0))))))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(61,plain,
% 0.47/0.62 ((~![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D)))))) | ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_pre_topc(B!1) = u1_pre_topc(A!0))))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(62,plain,
% 0.47/0.63 ((~![C: $i, D: $i] : ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_pre_topc(B!1) = D)))))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_pre_topc(B!1) = u1_pre_topc(A!0)))))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.47/0.63 tff(63,plain,
% 0.47/0.63 (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_pre_topc(B!1) = u1_pre_topc(A!0))))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[62, 59, 24])).
% 0.47/0.63 tff(64,plain,
% 0.47/0.63 (((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_pre_topc(B!1) = u1_pre_topc(A!0)))) | (u1_struct_0(B!1) = u1_struct_0(A!0))),
% 0.47/0.63 inference(tautology,[status(thm)],[])).
% 0.47/0.63 tff(65,plain,
% 0.47/0.63 (u1_struct_0(B!1) = u1_struct_0(A!0)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[64, 63])).
% 0.47/0.63 tff(66,plain,
% 0.47/0.63 (k1_zfmisc_1(u1_struct_0(B!1)) = k1_zfmisc_1(u1_struct_0(A!0))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[65])).
% 0.47/0.63 tff(67,plain,
% 0.47/0.63 (k1_zfmisc_1(u1_struct_0(A!0)) = k1_zfmisc_1(u1_struct_0(B!1))),
% 0.47/0.63 inference(symmetry,[status(thm)],[66])).
% 0.47/0.63 tff(68,plain,
% 0.47/0.63 (m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0))) <=> m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[67])).
% 0.47/0.63 tff(69,plain,
% 0.47/0.63 (m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1))) <=> m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))),
% 0.47/0.63 inference(symmetry,[status(thm)],[68])).
% 0.47/0.63 tff(70,plain,
% 0.47/0.63 (^[A: $i] : rewrite(((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))))))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(71,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[70])).
% 0.47/0.63 tff(72,plain,
% 0.47/0.63 (^[A: $i] : refl(((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(73,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A)))))))))))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[72])).
% 0.47/0.63 tff(74,plain,
% 0.47/0.63 (^[A: $i] : rewrite(((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(75,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A)))))))))))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[74])).
% 0.47/0.63 tff(76,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A)))))))))))),
% 0.47/0.63 inference(transitivity,[status(thm)],[75, 73])).
% 0.47/0.63 tff(77,plain,
% 0.47/0.63 (^[A: $i] : rewrite(((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (((~v1_tsp_2(B, A)) | (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))) & (v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(tptp_fun_C_4(B, A), A) & r1_tarski(B, tptp_fun_C_4(B, A)))))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))))))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(78,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (((~v1_tsp_2(B, A)) | (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))) & (v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(tptp_fun_C_4(B, A), A) & r1_tarski(B, tptp_fun_C_4(B, A)))))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A)))))))))))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[77])).
% 0.47/0.63 tff(79,plain,
% 0.47/0.63 (^[A: $i] : rewrite(((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (((~v1_tsp_2(B, A)) | (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))) & (v1_tsp_2(B, A) | ((~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(tptp_fun_C_4(B, A), A) & r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (((~v1_tsp_2(B, A)) | (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))) & (v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(tptp_fun_C_4(B, A), A) & r1_tarski(B, tptp_fun_C_4(B, A)))))))))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(80,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (((~v1_tsp_2(B, A)) | (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))) & (v1_tsp_2(B, A) | ((~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(tptp_fun_C_4(B, A), A) & r1_tarski(B, tptp_fun_C_4(B, A))))))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (((~v1_tsp_2(B, A)) | (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))) & (v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(tptp_fun_C_4(B, A), A) & r1_tarski(B, tptp_fun_C_4(B, A))))))))))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[79])).
% 0.47/0.63 tff(81,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(82,plain,
% 0.47/0.63 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(rewrite((v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ((v1_tsp_1(C, A) & r1_tarski(B, C)) => (B = C))))) <=> (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))), ((m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ((v1_tsp_1(C, A) & r1_tarski(B, C)) => (B = C)))))) <=> (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))))), rewrite((m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))) <=> ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))))), ((m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ((v1_tsp_1(C, A) & r1_tarski(B, C)) => (B = C)))))) <=> ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))))))), (![B: $i] : (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ((v1_tsp_1(C, A) & r1_tarski(B, C)) => (B = C)))))) <=> ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))))), ((l1_pre_topc(A) => ![B: $i] : (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ((v1_tsp_1(C, A) & r1_tarski(B, C)) => (B = C))))))) <=> (l1_pre_topc(A) => ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))))))), rewrite((l1_pre_topc(A) => ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))))), ((l1_pre_topc(A) => ![B: $i] : (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ((v1_tsp_1(C, A) & r1_tarski(B, C)) => (B = C))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(83,plain,
% 0.47/0.63 (![A: $i] : (l1_pre_topc(A) => ![B: $i] : (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ((v1_tsp_1(C, A) & r1_tarski(B, C)) => (B = C))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[82])).
% 0.47/0.63 tff(84,axiom,(![A: $i] : (l1_pre_topc(A) => ![B: $i] : (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ((v1_tsp_1(C, A) & r1_tarski(B, C)) => (B = C)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d4_tsp_2')).
% 0.47/0.63 tff(85,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.47/0.63 tff(86,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (v1_tsp_2(B, A) <=> (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C))))))))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.47/0.63 tff(87,plain,(
% 0.47/0.63 ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (((~v1_tsp_2(B, A)) | (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))) & (v1_tsp_2(B, A) | ((~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(tptp_fun_C_4(B, A), A) & r1_tarski(B, tptp_fun_C_4(B, A)))))))))))),
% 0.47/0.63 inference(skolemize,[status(sab)],[86])).
% 0.47/0.63 tff(88,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (((~v1_tsp_2(B, A)) | (v1_tsp_1(B, A) & ![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(C, A) & r1_tarski(B, C)))))) & (v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~(v1_tsp_1(tptp_fun_C_4(B, A), A) & r1_tarski(B, tptp_fun_C_4(B, A))))))))))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.47/0.63 tff(89,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A)))))))))))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[88, 78])).
% 0.47/0.63 tff(90,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C)))))))) | (~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A)))))))))))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[89, 76])).
% 0.47/0.63 tff(91,plain,
% 0.47/0.63 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[90, 71])).
% 0.47/0.63 tff(92,plain,
% 0.47/0.63 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1))))))))))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | (~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1))))))))))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(93,plain,
% 0.47/0.63 (((~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (~r1_tarski(B, C)))))))))))) <=> ((~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1))))))))))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(94,plain,
% 0.47/0.63 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (~r1_tarski(B, C))))))))))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[93])).
% 0.47/0.63 tff(95,plain,
% 0.47/0.63 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (~r1_tarski(B, C))))))))))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | (~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1))))))))))))),
% 0.47/0.63 inference(transitivity,[status(thm)],[94, 92])).
% 0.47/0.63 tff(96,plain,
% 0.47/0.63 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (~r1_tarski(B, C))))))))))))),
% 0.59/0.63 inference(quant_inst,[status(thm)],[])).
% 0.59/0.63 tff(97,plain,
% 0.59/0.63 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | (~l1_pre_topc(B!1)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.59/0.63 tff(98,plain,
% 0.59/0.63 (![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))),
% 0.59/0.63 inference(unit_resolution,[status(thm)],[97, 35, 91])).
% 0.59/0.63 tff(99,plain,
% 0.59/0.63 (m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))),
% 0.59/0.63 inference(or_elim,[status(thm)],[21])).
% 0.59/0.63 tff(100,plain,
% 0.59/0.63 (((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))))) <=> ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))))),
% 0.59/0.64 inference(rewrite,[status(thm)],[])).
% 0.59/0.64 tff(101,plain,
% 0.59/0.64 (((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((D!3 = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(D!3, C)) | (~v1_tsp_1(C, B!1))))))))))) <=> ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))))),
% 0.59/0.64 inference(rewrite,[status(thm)],[])).
% 0.59/0.64 tff(102,plain,
% 0.59/0.64 (((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((D!3 = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(D!3, C)) | (~v1_tsp_1(C, B!1)))))))))))) <=> ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (D!3 = C) | (~r1_tarski(D!3, C))))))))))))),
% 0.59/0.64 inference(monotonicity,[status(thm)],[101])).
% 0.59/0.64 tff(103,plain,
% 0.59/0.64 (((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((D!3 = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(D!3, C)) | (~v1_tsp_1(C, B!1)))))))))))) <=> ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))))),
% 0.59/0.64 inference(transitivity,[status(thm)],[102, 100])).
% 0.59/0.64 tff(104,plain,
% 0.59/0.64 ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((D!3 = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(D!3, C)) | (~v1_tsp_1(C, B!1)))))))))))),
% 0.59/0.64 inference(quant_inst,[status(thm)],[])).
% 0.59/0.64 tff(105,plain,
% 0.59/0.64 ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(B, B!1) | (~v1_tsp_1(B, B!1)) | (~((B = tptp_fun_C_4(B, B!1)) | (~m1_subset_1(tptp_fun_C_4(B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(B, B!1), B!1)) | (~r1_tarski(B, tptp_fun_C_4(B, B!1))))))) | (~((~v1_tsp_2(B, B!1)) | (~((~v1_tsp_1(B, B!1)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, B!1)))))))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (D!3 = C) | (~r1_tarski(D!3, C))))))))))),
% 0.59/0.64 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.59/0.64 tff(106,plain,
% 0.59/0.64 (~((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))),
% 0.59/0.64 inference(unit_resolution,[status(thm)],[105, 99, 98])).
% 0.59/0.64 tff(107,plain,
% 0.59/0.64 (((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~((~v1_tsp_2(D!3, B!1)) | (~((~v1_tsp_1(D!3, B!1)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, B!1)) | (D!3 = C) | (~r1_tarski(D!3, C))))))))) | (v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))),
% 0.59/0.64 inference(tautology,[status(thm)],[])).
% 0.59/0.64 tff(108,plain,
% 0.59/0.64 (v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1)))))),
% 0.59/0.64 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.59/0.64 tff(109,plain,
% 0.59/0.64 (^[A: $i] : refl(((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A)))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A)))))))),
% 0.59/0.64 inference(bind,[status(th)],[])).
% 0.59/0.64 tff(110,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A)))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))),
% 0.59/0.64 inference(quant_intro,[status(thm)],[109])).
% 0.59/0.64 tff(111,plain,
% 0.59/0.64 (^[A: $i] : rewrite(((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A)))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A)))))))),
% 0.59/0.64 inference(bind,[status(th)],[])).
% 0.59/0.64 tff(112,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A)))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))),
% 0.59/0.64 inference(quant_intro,[status(thm)],[111])).
% 0.59/0.64 tff(113,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A)))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))),
% 0.59/0.64 inference(transitivity,[status(thm)],[112, 110])).
% 0.59/0.64 tff(114,plain,
% 0.59/0.64 (^[A: $i] : rewrite(((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A)))))))),
% 0.59/0.64 inference(bind,[status(th)],[])).
% 0.59/0.64 tff(115,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))),
% 0.59/0.64 inference(quant_intro,[status(thm)],[114])).
% 0.59/0.64 tff(116,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))),
% 0.59/0.64 inference(rewrite,[status(thm)],[])).
% 0.59/0.64 tff(117,plain,
% 0.59/0.64 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : trans(monotonicity(trans(monotonicity(rewrite((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) <=> ((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))), (((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)) <=> (((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)))), rewrite((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)) <=> ((~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))) | v1_tsp_1(D, B))), (((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)) <=> ((~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))) | v1_tsp_1(D, B)))), ((m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B))) <=> (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))) | v1_tsp_1(D, B))))), rewrite((m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))) | v1_tsp_1(D, B))) <=> (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))), ((m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B))) <=> (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))), (![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B))) <=> ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))), ((m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)))) <=> (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))), rewrite((m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))) <=> ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))), ((m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)))) <=> ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))), (![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)))) <=> ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))), ((l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B))))) <=> (l1_pre_topc(B) => ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))), rewrite((l1_pre_topc(B) => ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))) <=> ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))), ((l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B))))) <=> ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))))), (![B: $i] : (l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B))))) <=> ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))), ((l1_pre_topc(A) => ![B: $i] : (l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)))))) <=> (l1_pre_topc(A) => ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))))), rewrite((l1_pre_topc(A) => ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A))))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))), ((l1_pre_topc(A) => ![B: $i] : (l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)))))) <=> ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))))),
% 0.59/0.64 inference(bind,[status(th)],[])).
% 0.59/0.64 tff(118,plain,
% 0.59/0.64 (![A: $i] : (l1_pre_topc(A) => ![B: $i] : (l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B)))))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))),
% 0.59/0.64 inference(quant_intro,[status(thm)],[117])).
% 0.59/0.64 tff(119,axiom,(![A: $i] : (l1_pre_topc(A) => ![B: $i] : (l1_pre_topc(B) => ![C: $i] : (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) => ((((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D)) & v1_tsp_1(C, A)) => v1_tsp_1(D, B))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t5_tsp_1')).
% 0.59/0.64 tff(120,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))),
% 0.59/0.64 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.59/0.64 tff(121,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))),
% 0.59/0.64 inference(modus_ponens,[status(thm)],[120, 116])).
% 0.59/0.64 tff(122,plain,(
% 0.59/0.64 ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~((g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & (C = D) & v1_tsp_1(C, A)))))))),
% 0.59/0.64 inference(skolemize,[status(sab)],[121])).
% 0.59/0.64 tff(123,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))),
% 0.59/0.64 inference(modus_ponens,[status(thm)],[122, 115])).
% 0.59/0.64 tff(124,plain,
% 0.59/0.64 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))),
% 0.59/0.64 inference(modus_ponens,[status(thm)],[123, 113])).
% 0.59/0.64 tff(125,plain,
% 0.59/0.64 (l1_pre_topc(A!0)),
% 0.59/0.64 inference(and_elim,[status(thm)],[20])).
% 0.59/0.64 tff(126,plain,
% 0.59/0.64 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))) | ((~l1_pre_topc(A!0)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0))))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))) | (~l1_pre_topc(A!0)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0))))))),
% 0.59/0.64 inference(rewrite,[status(thm)],[])).
% 0.59/0.64 tff(127,plain,
% 0.59/0.64 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))) | ((~l1_pre_topc(A!0)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0))))))),
% 0.59/0.64 inference(quant_inst,[status(thm)],[])).
% 0.59/0.64 tff(128,plain,
% 0.59/0.64 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))) | (~l1_pre_topc(A!0)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))),
% 0.59/0.64 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.59/0.64 tff(129,plain,
% 0.59/0.64 (![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))),
% 0.59/0.64 inference(unit_resolution,[status(thm)],[128, 125, 124])).
% 0.59/0.64 tff(130,plain,
% 0.59/0.64 (((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))) | ((~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))))))) <=> ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))) | (~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))))))),
% 0.59/0.64 inference(rewrite,[status(thm)],[])).
% 0.59/0.64 tff(131,plain,
% 0.59/0.64 (((~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B!1) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(C, A!0))))) <=> ((~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))))))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(132,plain,
% 0.59/0.65 (((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))) | ((~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B!1) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(C, A!0)))))) <=> ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))) | ((~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))))),
% 0.59/0.65 inference(monotonicity,[status(thm)],[131])).
% 0.59/0.65 tff(133,plain,
% 0.59/0.65 (((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))) | ((~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B!1) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(C, A!0)))))) <=> ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))) | (~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))))))),
% 0.59/0.65 inference(transitivity,[status(thm)],[132, 130])).
% 0.59/0.65 tff(134,plain,
% 0.59/0.65 ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))) | ((~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B!1) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(C, A!0)))))),
% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(135,plain,
% 0.59/0.65 ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A!0)))))) | (~l1_pre_topc(B!1)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.59/0.65 tff(136,plain,
% 0.59/0.65 (![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))),
% 0.59/0.65 inference(unit_resolution,[status(thm)],[135, 35, 129])).
% 0.59/0.65 tff(137,plain,
% 0.59/0.65 (C!2 = D!3),
% 0.59/0.65 inference(and_elim,[status(thm)],[22])).
% 0.59/0.65 tff(138,plain,
% 0.59/0.65 (D!3 = C!2),
% 0.59/0.65 inference(symmetry,[status(thm)],[137])).
% 0.59/0.65 tff(139,plain,
% 0.59/0.65 (m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0))) <=> m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0)))),
% 0.59/0.65 inference(monotonicity,[status(thm)],[138])).
% 0.59/0.65 tff(140,plain,
% 0.59/0.65 (m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0))) <=> m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))),
% 0.59/0.65 inference(symmetry,[status(thm)],[139])).
% 0.59/0.65 tff(141,plain,
% 0.59/0.65 (m1_subset_1(C!2, k1_zfmisc_1(u1_struct_0(A!0)))),
% 0.59/0.65 inference(and_elim,[status(thm)],[20])).
% 0.59/0.65 tff(142,plain,
% 0.59/0.65 (m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.59/0.65 tff(143,plain,
% 0.59/0.65 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D))))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D))))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(144,plain,
% 0.59/0.65 (((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(D!3 = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))))) <=> ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D))))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(145,plain,
% 0.59/0.65 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(D!3 = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))))),
% 0.59/0.65 inference(monotonicity,[status(thm)],[144])).
% 0.59/0.65 tff(146,plain,
% 0.59/0.65 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(D!3 = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D))))),
% 0.59/0.65 inference(transitivity,[status(thm)],[145, 143])).
% 0.59/0.65 tff(147,plain,
% 0.59/0.65 ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(D!3 = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))),
% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(148,plain,
% 0.59/0.65 ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(C, A!0)) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.59/0.65 tff(149,plain,
% 0.59/0.65 (![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))),
% 0.59/0.65 inference(unit_resolution,[status(thm)],[148, 142, 136])).
% 0.59/0.65 tff(150,plain,
% 0.59/0.65 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0))))))))))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | (~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0))))))))))))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(151,plain,
% 0.59/0.65 (((~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (~r1_tarski(B, C)))))))))))) <=> ((~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0))))))))))))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(152,plain,
% 0.59/0.65 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (~r1_tarski(B, C))))))))))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))))),
% 0.59/0.65 inference(monotonicity,[status(thm)],[151])).
% 0.59/0.65 tff(153,plain,
% 0.59/0.65 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (~r1_tarski(B, C))))))))))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | (~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0))))))))))))),
% 0.59/0.65 inference(transitivity,[status(thm)],[152, 150])).
% 0.59/0.65 tff(154,plain,
% 0.59/0.65 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | ((~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (~r1_tarski(B, C))))))))))))),
% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(155,plain,
% 0.59/0.65 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) | (~((~(v1_tsp_2(B, A) | (~v1_tsp_1(B, A)) | (~((B = tptp_fun_C_4(B, A)) | (~m1_subset_1(tptp_fun_C_4(B, A), k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(tptp_fun_C_4(B, A), A)) | (~r1_tarski(B, tptp_fun_C_4(B, A))))))) | (~((~v1_tsp_2(B, A)) | (~((~v1_tsp_1(B, A)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | (~v1_tsp_1(C, A)) | (~r1_tarski(B, C))))))))))))) | (~l1_pre_topc(A!0)) | ![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.59/0.65 tff(156,plain,
% 0.59/0.65 (![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))),
% 0.59/0.65 inference(unit_resolution,[status(thm)],[155, 125, 91])).
% 0.59/0.65 tff(157,plain,
% 0.59/0.65 (((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))))) <=> ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(158,plain,
% 0.59/0.65 (((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((D!3 = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(D!3, C)) | (~v1_tsp_1(C, A!0))))))))))) <=> ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(159,plain,
% 0.59/0.65 (((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((D!3 = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(D!3, C)) | (~v1_tsp_1(C, A!0)))))))))))) <=> ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C))))))))))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[158])).
% 0.59/0.66 tff(160,plain,
% 0.59/0.66 (((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((D!3 = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(D!3, C)) | (~v1_tsp_1(C, A!0)))))))))))) <=> ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))))),
% 0.59/0.66 inference(transitivity,[status(thm)],[159, 157])).
% 0.59/0.66 tff(161,plain,
% 0.59/0.66 ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((D!3 = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(D!3, C)) | (~v1_tsp_1(C, A!0)))))))))))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(162,plain,
% 0.59/0.66 ((~![B: $i] : ((~m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(B, A!0) | (~v1_tsp_1(B, A!0)) | (~((B = tptp_fun_C_4(B, A!0)) | (~m1_subset_1(tptp_fun_C_4(B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(B, A!0), A!0)) | (~r1_tarski(B, tptp_fun_C_4(B, A!0))))))) | (~((~v1_tsp_2(B, A!0)) | (~((~v1_tsp_1(B, A!0)) | (~![C: $i] : ((B = C) | (~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~r1_tarski(B, C)) | (~v1_tsp_1(C, A!0)))))))))))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C))))))))))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.59/0.66 tff(163,plain,
% 0.59/0.66 (~((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[162, 156, 142])).
% 0.59/0.66 tff(164,plain,
% 0.59/0.66 (((~(v1_tsp_2(D!3, A!0) | (~v1_tsp_1(D!3, A!0)) | (~((D!3 = tptp_fun_C_4(D!3, A!0)) | (~m1_subset_1(tptp_fun_C_4(D!3, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, A!0), A!0)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, A!0))))))) | (~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C))))))))) | ((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))),
% 0.59/0.66 inference(tautology,[status(thm)],[])).
% 0.59/0.66 tff(165,plain,
% 0.59/0.66 ((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C))))))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[164, 163])).
% 0.59/0.66 tff(166,plain,
% 0.59/0.66 (v1_tsp_2(D!3, A!0) <=> v1_tsp_2(C!2, A!0)),
% 0.59/0.66 inference(monotonicity,[status(thm)],[138])).
% 0.59/0.66 tff(167,plain,
% 0.59/0.66 (v1_tsp_2(C!2, A!0) <=> v1_tsp_2(D!3, A!0)),
% 0.59/0.66 inference(symmetry,[status(thm)],[166])).
% 0.59/0.66 tff(168,plain,
% 0.59/0.66 (v1_tsp_2(C!2, A!0)),
% 0.59/0.66 inference(and_elim,[status(thm)],[22])).
% 0.59/0.66 tff(169,plain,
% 0.59/0.66 (v1_tsp_2(D!3, A!0)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.59/0.66 tff(170,plain,
% 0.59/0.66 ((~((~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))))))) | (~v1_tsp_2(D!3, A!0)) | (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C))))))),
% 0.59/0.66 inference(tautology,[status(thm)],[])).
% 0.59/0.66 tff(171,plain,
% 0.59/0.66 (~((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[170, 169, 165])).
% 0.59/0.66 tff(172,plain,
% 0.59/0.66 (((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C))))) | v1_tsp_1(D!3, A!0)),
% 0.59/0.66 inference(tautology,[status(thm)],[])).
% 0.59/0.66 tff(173,plain,
% 0.59/0.66 (v1_tsp_1(D!3, A!0)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[172, 171])).
% 0.59/0.66 tff(174,plain,
% 0.59/0.66 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D!3, B!1))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D!3, B!1))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(175,plain,
% 0.59/0.66 (((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D!3, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | $false) <=> ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D!3, B!1))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(176,plain,
% 0.59/0.66 ((~$true) <=> $false),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(177,plain,
% 0.59/0.66 ((D!3 = D!3) <=> $true),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(178,plain,
% 0.59/0.66 ((~(D!3 = D!3)) <=> (~$true)),
% 0.59/0.66 inference(monotonicity,[status(thm)],[177])).
% 0.59/0.66 tff(179,plain,
% 0.59/0.66 ((~(D!3 = D!3)) <=> $false),
% 0.59/0.66 inference(transitivity,[status(thm)],[178, 176])).
% 0.59/0.66 tff(180,plain,
% 0.59/0.66 (((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D!3, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D!3))) <=> ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D!3, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | $false)),
% 0.59/0.66 inference(monotonicity,[status(thm)],[179])).
% 0.59/0.66 tff(181,plain,
% 0.59/0.66 (((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D!3, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D!3))) <=> ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D!3, B!1))),
% 0.59/0.66 inference(transitivity,[status(thm)],[180, 175])).
% 0.59/0.66 tff(182,plain,
% 0.59/0.66 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D!3, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D!3)))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D!3, B!1)))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[181])).
% 0.59/0.66 tff(183,plain,
% 0.59/0.66 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D!3, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D!3)))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D!3, B!1))),
% 0.59/0.66 inference(transitivity,[status(thm)],[182, 174])).
% 0.59/0.66 tff(184,plain,
% 0.59/0.66 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))) | ((~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D!3, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D!3)))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(185,plain,
% 0.59/0.66 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | v1_tsp_1(D, B!1) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | (~(D!3 = D)))) | (~m1_subset_1(D!3, k1_zfmisc_1(u1_struct_0(B!1)))) | (~(g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)) = g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)))) | (~v1_tsp_1(D!3, A!0)) | v1_tsp_1(D!3, B!1)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.59/0.66 tff(186,plain,
% 0.59/0.66 (v1_tsp_1(D!3, B!1)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[185, 23, 99, 173, 149])).
% 0.59/0.66 tff(187,plain,
% 0.59/0.66 (~v1_tsp_2(D!3, B!1)),
% 0.59/0.66 inference(or_elim,[status(thm)],[21])).
% 0.59/0.66 tff(188,plain,
% 0.59/0.66 ((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1)))))),
% 0.59/0.66 inference(tautology,[status(thm)],[])).
% 0.59/0.66 tff(189,plain,
% 0.59/0.66 ((~(v1_tsp_2(D!3, B!1) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))))) | (~v1_tsp_1(D!3, B!1)) | (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1)))))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[188, 187])).
% 0.59/0.66 tff(190,plain,
% 0.59/0.66 (~((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[189, 186, 108])).
% 0.59/0.66 tff(191,plain,
% 0.59/0.66 (((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1)))) | m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))),
% 0.59/0.66 inference(tautology,[status(thm)],[])).
% 0.59/0.66 tff(192,plain,
% 0.59/0.66 (m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[191, 190])).
% 0.59/0.66 tff(193,plain,
% 0.59/0.66 (m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[192, 69])).
% 0.59/0.66 tff(194,plain,
% 0.59/0.66 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))) | ((~l1_pre_topc(B!1)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1))))))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))) | (~l1_pre_topc(B!1)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1))))))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(195,plain,
% 0.59/0.66 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))) | ((~l1_pre_topc(B!1)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1))))))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(196,plain,
% 0.59/0.66 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, A))))))) | (~l1_pre_topc(B!1)) | ![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.59/0.66 tff(197,plain,
% 0.59/0.66 (![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[196, 35, 124])).
% 0.59/0.66 tff(198,plain,
% 0.59/0.66 (((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))) | ((~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))))))) <=> ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))) | (~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))))))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(199,plain,
% 0.59/0.66 (((~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, A!0) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(C, B!1))))) <=> ((~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))))))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(200,plain,
% 0.59/0.66 (((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))) | ((~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, A!0) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(C, B!1)))))) <=> ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))) | ((~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[199])).
% 0.59/0.66 tff(201,plain,
% 0.59/0.66 (((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))) | ((~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, A!0) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(C, B!1)))))) <=> ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))) | (~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))))))),
% 0.59/0.66 inference(transitivity,[status(thm)],[200, 198])).
% 0.59/0.66 tff(202,plain,
% 0.59/0.66 ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))) | ((~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, A!0) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(C, B!1)))))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(203,plain,
% 0.59/0.67 ((~![B: $i] : ((~l1_pre_topc(B)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : (v1_tsp_1(D, B) | (~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) | (~v1_tsp_1(C, B!1)))))) | (~l1_pre_topc(A!0)) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.59/0.67 tff(204,plain,
% 0.59/0.67 (![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[203, 125, 197])).
% 0.59/0.67 tff(205,plain,
% 0.59/0.67 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D))))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D))))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(206,plain,
% 0.59/0.67 (((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(tptp_fun_C_4(D!3, B!1) = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))))) <=> ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D))))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(207,plain,
% 0.59/0.67 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(tptp_fun_C_4(D!3, B!1) = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))))),
% 0.59/0.67 inference(monotonicity,[status(thm)],[206])).
% 0.59/0.67 tff(208,plain,
% 0.59/0.67 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(tptp_fun_C_4(D!3, B!1) = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D))))),
% 0.59/0.67 inference(transitivity,[status(thm)],[207, 205])).
% 0.59/0.67 tff(209,plain,
% 0.59/0.67 ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(tptp_fun_C_4(D!3, B!1) = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(210,plain,
% 0.59/0.67 ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~(C = D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~v1_tsp_1(C, B!1)) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0))))))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.59/0.67 tff(211,plain,
% 0.59/0.67 (![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[210, 204, 192])).
% 0.59/0.67 tff(212,plain,
% 0.59/0.67 (((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)),
% 0.59/0.67 inference(tautology,[status(thm)],[])).
% 0.59/0.67 tff(213,plain,
% 0.59/0.67 (v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[212, 190])).
% 0.59/0.67 tff(214,plain,
% 0.59/0.67 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))) | ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(215,plain,
% 0.59/0.67 (((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | $false) <=> ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(216,plain,
% 0.59/0.67 ((tptp_fun_C_4(D!3, B!1) = tptp_fun_C_4(D!3, B!1)) <=> $true),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(217,plain,
% 0.59/0.67 ((~(tptp_fun_C_4(D!3, B!1) = tptp_fun_C_4(D!3, B!1))) <=> (~$true)),
% 0.59/0.67 inference(monotonicity,[status(thm)],[216])).
% 0.59/0.67 tff(218,plain,
% 0.59/0.67 ((~(tptp_fun_C_4(D!3, B!1) = tptp_fun_C_4(D!3, B!1))) <=> $false),
% 0.59/0.67 inference(transitivity,[status(thm)],[217, 176])).
% 0.59/0.67 tff(219,plain,
% 0.59/0.67 (((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = tptp_fun_C_4(D!3, B!1)))) <=> ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | $false)),
% 0.59/0.67 inference(monotonicity,[status(thm)],[218])).
% 0.59/0.67 tff(220,plain,
% 0.59/0.67 (((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = tptp_fun_C_4(D!3, B!1)))) <=> ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0))),
% 0.59/0.67 inference(transitivity,[status(thm)],[219, 215])).
% 0.59/0.67 tff(221,plain,
% 0.59/0.67 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = tptp_fun_C_4(D!3, B!1))))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))) | ((~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)))),
% 0.59/0.67 inference(monotonicity,[status(thm)],[220])).
% 0.59/0.67 tff(222,plain,
% 0.59/0.67 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = tptp_fun_C_4(D!3, B!1))))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0))),
% 0.59/0.67 inference(transitivity,[status(thm)],[221, 214])).
% 0.59/0.67 tff(223,plain,
% 0.59/0.67 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = tptp_fun_C_4(D!3, B!1))))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(224,plain,
% 0.59/0.67 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(D, A!0) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~(tptp_fun_C_4(D!3, B!1) = D)))) | (~(g1_pre_topc(u1_struct_0(B!1), u1_pre_topc(B!1)) = g1_pre_topc(u1_struct_0(A!0), u1_pre_topc(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.59/0.67 tff(225,plain,
% 0.59/0.67 (v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[224, 213, 24, 193, 211])).
% 0.59/0.67 tff(226,plain,
% 0.59/0.67 (((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1)))) | r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))),
% 0.59/0.67 inference(tautology,[status(thm)],[])).
% 0.59/0.67 tff(227,plain,
% 0.59/0.67 (r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[226, 190])).
% 0.59/0.67 tff(228,plain,
% 0.59/0.67 (((D!3 = tptp_fun_C_4(D!3, B!1)) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1)))) | (~(D!3 = tptp_fun_C_4(D!3, B!1)))),
% 0.59/0.67 inference(tautology,[status(thm)],[])).
% 0.59/0.67 tff(229,plain,
% 0.59/0.67 (~(D!3 = tptp_fun_C_4(D!3, B!1))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[228, 190])).
% 0.59/0.67 tff(230,plain,
% 0.59/0.67 (((~v1_tsp_1(D!3, A!0)) | (~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C))))) | ![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))),
% 0.63/0.67 inference(tautology,[status(thm)],[])).
% 0.63/0.67 tff(231,plain,
% 0.63/0.67 (![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))),
% 0.63/0.67 inference(unit_resolution,[status(thm)],[230, 171])).
% 0.63/0.67 tff(232,plain,
% 0.63/0.67 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))) | ((D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))) | (D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)))),
% 0.63/0.67 inference(rewrite,[status(thm)],[])).
% 0.63/0.67 tff(233,plain,
% 0.63/0.67 (((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)) | (D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1)))) <=> ((D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)))),
% 0.63/0.67 inference(rewrite,[status(thm)],[])).
% 0.63/0.67 tff(234,plain,
% 0.63/0.67 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)) | (D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))) | ((D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0))))),
% 0.63/0.68 inference(monotonicity,[status(thm)],[233])).
% 0.63/0.68 tff(235,plain,
% 0.63/0.68 (((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)) | (D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))) <=> ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))) | (D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)))),
% 0.63/0.68 inference(transitivity,[status(thm)],[234, 232])).
% 0.63/0.68 tff(236,plain,
% 0.63/0.68 ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))) | ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0)) | (D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))))),
% 0.63/0.68 inference(quant_inst,[status(thm)],[])).
% 0.63/0.68 tff(237,plain,
% 0.63/0.68 ((~![C: $i] : ((~m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(C, A!0)) | (D!3 = C) | (~r1_tarski(D!3, C)))) | (D!3 = tptp_fun_C_4(D!3, B!1)) | (~r1_tarski(D!3, tptp_fun_C_4(D!3, B!1))) | (~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0))),
% 0.63/0.68 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.63/0.68 tff(238,plain,
% 0.63/0.68 ((~m1_subset_1(tptp_fun_C_4(D!3, B!1), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_tsp_1(tptp_fun_C_4(D!3, B!1), A!0))),
% 0.63/0.68 inference(unit_resolution,[status(thm)],[237, 231, 229, 227])).
% 0.63/0.68 tff(239,plain,
% 0.63/0.68 ($false),
% 0.63/0.68 inference(unit_resolution,[status(thm)],[238, 225, 193])).
% 0.63/0.68 % SZS output end Proof
%------------------------------------------------------------------------------