TSTP Solution File: TOP034+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 01:55:57 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 10:25:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 % SZS output start Proof
% 0.18/0.48 tff(v3_borsuk_1_type, type, (
% 0.18/0.48 v3_borsuk_1: ( $i * $i * $i ) > $o)).
% 0.18/0.48 tff(tptp_fun_B_1_type, type, (
% 0.18/0.48 tptp_fun_B_1: $i)).
% 0.18/0.48 tff(tptp_fun_A_0_type, type, (
% 0.18/0.48 tptp_fun_A_0: $i)).
% 0.18/0.48 tff(m2_relset_1_type, type, (
% 0.18/0.48 m2_relset_1: ( $i * $i * $i ) > $o)).
% 0.18/0.48 tff(u1_struct_0_type, type, (
% 0.18/0.48 u1_struct_0: $i > $i)).
% 0.18/0.48 tff(v5_pre_topc_type, type, (
% 0.18/0.48 v5_pre_topc: ( $i * $i * $i ) > $o)).
% 0.18/0.48 tff(v1_funct_2_type, type, (
% 0.18/0.48 v1_funct_2: ( $i * $i * $i ) > $o)).
% 0.18/0.48 tff(v1_funct_1_type, type, (
% 0.18/0.48 v1_funct_1: $i > $o)).
% 0.18/0.48 tff(r1_borsuk_1_type, type, (
% 0.18/0.48 r1_borsuk_1: ( $i * $i ) > $o)).
% 0.18/0.48 tff(tptp_fun_C_2_type, type, (
% 0.18/0.48 tptp_fun_C_2: ( $i * $i ) > $i)).
% 0.18/0.48 tff(m1_pre_topc_type, type, (
% 0.18/0.48 m1_pre_topc: ( $i * $i ) > $o)).
% 0.18/0.48 tff(m2_tsp_1_type, type, (
% 0.18/0.48 m2_tsp_1: ( $i * $i ) > $o)).
% 0.18/0.48 tff(l1_pre_topc_type, type, (
% 0.18/0.48 l1_pre_topc: $i > $o)).
% 0.18/0.48 tff(v2_tsp_2_type, type, (
% 0.18/0.48 v2_tsp_2: ( $i * $i ) > $o)).
% 0.18/0.48 tff(v3_struct_0_type, type, (
% 0.18/0.48 v3_struct_0: $i > $o)).
% 0.18/0.48 tff(v2_pre_topc_type, type, (
% 0.18/0.48 v2_pre_topc: $i > $o)).
% 0.18/0.48 tff(1,plain,
% 0.18/0.48 (^[A: $i] : refl(((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))) <=> ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))))),
% 0.18/0.48 inference(bind,[status(th)],[])).
% 0.18/0.48 tff(2,plain,
% 0.18/0.48 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(quant_intro,[status(thm)],[1])).
% 0.18/0.48 tff(3,plain,
% 0.18/0.48 (^[A: $i] : rewrite(((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))) <=> ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))))),
% 0.18/0.48 inference(bind,[status(th)],[])).
% 0.18/0.48 tff(4,plain,
% 0.18/0.48 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(quant_intro,[status(thm)],[3])).
% 0.18/0.48 tff(5,plain,
% 0.18/0.48 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(transitivity,[status(thm)],[4, 2])).
% 0.18/0.48 tff(6,plain,
% 0.18/0.48 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(rewrite,[status(thm)],[])).
% 0.18/0.48 tff(7,plain,
% 0.18/0.48 (^[A: $i] : rewrite((l1_pre_topc(A) => ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))) <=> ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))))),
% 0.18/0.48 inference(bind,[status(th)],[])).
% 0.18/0.48 tff(8,plain,
% 0.18/0.48 (![A: $i] : (l1_pre_topc(A) => ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A))) <=> ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(quant_intro,[status(thm)],[7])).
% 0.18/0.48 tff(9,axiom,(![A: $i] : (l1_pre_topc(A) => ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_m2_tsp_1')).
% 0.18/0.48 tff(10,plain,
% 0.18/0.48 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.18/0.48 tff(11,plain,
% 0.18/0.48 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.18/0.48 tff(12,plain,(
% 0.18/0.48 ![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(skolemize,[status(sab)],[11])).
% 0.18/0.48 tff(13,plain,
% 0.18/0.48 (![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.18/0.48 tff(14,plain,
% 0.18/0.48 ((((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0)) & (~((~((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0))) | r1_borsuk_1(A!0, B!1)))) <=> ((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0) & (~((~((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0))) | r1_borsuk_1(A!0, B!1))))),
% 0.18/0.48 inference(rewrite,[status(thm)],[])).
% 0.18/0.48 tff(15,plain,
% 0.18/0.48 ((~(~((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0)))) <=> ((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0))),
% 0.18/0.48 inference(rewrite,[status(thm)],[])).
% 0.18/0.48 tff(16,plain,
% 0.18/0.48 (((~(~((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0)))) & (~((~((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0))) | r1_borsuk_1(A!0, B!1)))) <=> (((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0)) & (~((~((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0))) | r1_borsuk_1(A!0, B!1))))),
% 0.18/0.48 inference(monotonicity,[status(thm)],[15])).
% 0.18/0.48 tff(17,plain,
% 0.18/0.48 (((~(~((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0)))) & (~((~((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0))) | r1_borsuk_1(A!0, B!1)))) <=> ((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0) & (~((~((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0))) | r1_borsuk_1(A!0, B!1))))),
% 0.18/0.48 inference(transitivity,[status(thm)],[16, 14])).
% 0.18/0.48 tff(18,plain,
% 0.18/0.48 ((~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B)))) <=> (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B))))),
% 0.18/0.48 inference(rewrite,[status(thm)],[])).
% 0.18/0.48 tff(19,plain,
% 0.18/0.48 ((~![A: $i] : ((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : ((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => r1_borsuk_1(A, B)))) <=> (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B))))),
% 0.18/0.48 inference(rewrite,[status(thm)],[])).
% 0.18/0.48 tff(20,axiom,(~![A: $i] : ((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : ((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => r1_borsuk_1(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t23_tsp_2')).
% 0.18/0.48 tff(21,plain,
% 0.18/0.48 (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.18/0.48 tff(22,plain,
% 0.18/0.48 (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[21, 18])).
% 0.18/0.48 tff(23,plain,
% 0.18/0.48 (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.18/0.48 tff(24,plain,
% 0.18/0.48 (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[23, 18])).
% 0.18/0.48 tff(25,plain,
% 0.18/0.48 (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[24, 18])).
% 0.18/0.48 tff(26,plain,
% 0.18/0.48 (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.18/0.48 tff(27,plain,
% 0.18/0.48 (~![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | r1_borsuk_1(A, B)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[26, 18])).
% 0.18/0.48 tff(28,plain,
% 0.18/0.48 ((~v3_struct_0(A!0)) & v2_pre_topc(A!0) & l1_pre_topc(A!0) & (~((~((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0))) | r1_borsuk_1(A!0, B!1)))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[27, 17])).
% 0.18/0.48 tff(29,plain,
% 0.18/0.48 (l1_pre_topc(A!0)),
% 0.18/0.48 inference(and_elim,[status(thm)],[28])).
% 0.18/0.48 tff(30,plain,
% 0.18/0.48 (((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))) | ((~l1_pre_topc(A!0)) | ![B: $i] : (m2_tsp_1(B, A!0) <=> m1_pre_topc(B, A!0)))) <=> ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))) | (~l1_pre_topc(A!0)) | ![B: $i] : (m2_tsp_1(B, A!0) <=> m1_pre_topc(B, A!0)))),
% 0.18/0.48 inference(rewrite,[status(thm)],[])).
% 0.18/0.48 tff(31,plain,
% 0.18/0.48 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))) | ((~l1_pre_topc(A!0)) | ![B: $i] : (m2_tsp_1(B, A!0) <=> m1_pre_topc(B, A!0)))),
% 0.18/0.48 inference(quant_inst,[status(thm)],[])).
% 0.18/0.48 tff(32,plain,
% 0.18/0.48 ((~![A: $i] : ((~l1_pre_topc(A)) | ![B: $i] : (m2_tsp_1(B, A) <=> m1_pre_topc(B, A)))) | (~l1_pre_topc(A!0)) | ![B: $i] : (m2_tsp_1(B, A!0) <=> m1_pre_topc(B, A!0))),
% 0.18/0.48 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.18/0.48 tff(33,plain,
% 0.18/0.48 (![B: $i] : (m2_tsp_1(B, A!0) <=> m1_pre_topc(B, A!0))),
% 0.18/0.48 inference(unit_resolution,[status(thm)],[32, 29, 13])).
% 0.18/0.48 tff(34,plain,
% 0.18/0.48 ((~![B: $i] : (m2_tsp_1(B, A!0) <=> m1_pre_topc(B, A!0))) | (m2_tsp_1(B!1, A!0) <=> m1_pre_topc(B!1, A!0))),
% 0.18/0.48 inference(quant_inst,[status(thm)],[])).
% 0.18/0.48 tff(35,plain,
% 0.18/0.48 (m2_tsp_1(B!1, A!0) <=> m1_pre_topc(B!1, A!0)),
% 0.18/0.48 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.18/0.48 tff(36,plain,
% 0.18/0.48 (~((~((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0))) | r1_borsuk_1(A!0, B!1))),
% 0.18/0.48 inference(and_elim,[status(thm)],[28])).
% 0.18/0.48 tff(37,plain,
% 0.18/0.48 ((~v3_struct_0(B!1)) & v2_tsp_2(B!1, A!0) & m2_tsp_1(B!1, A!0)),
% 0.18/0.48 inference(or_elim,[status(thm)],[36])).
% 0.18/0.48 tff(38,plain,
% 0.18/0.48 (m2_tsp_1(B!1, A!0)),
% 0.18/0.48 inference(and_elim,[status(thm)],[37])).
% 0.18/0.48 tff(39,plain,
% 0.18/0.48 ((~(m2_tsp_1(B!1, A!0) <=> m1_pre_topc(B!1, A!0))) | (~m2_tsp_1(B!1, A!0)) | m1_pre_topc(B!1, A!0)),
% 0.18/0.48 inference(tautology,[status(thm)],[])).
% 0.18/0.48 tff(40,plain,
% 0.18/0.48 ((~(m2_tsp_1(B!1, A!0) <=> m1_pre_topc(B!1, A!0))) | m1_pre_topc(B!1, A!0)),
% 0.18/0.48 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.18/0.48 tff(41,plain,
% 0.18/0.48 (m1_pre_topc(B!1, A!0)),
% 0.18/0.48 inference(unit_resolution,[status(thm)],[40, 35])).
% 0.18/0.48 tff(42,plain,
% 0.18/0.48 (^[A: $i] : refl((v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))))),
% 0.18/0.49 inference(bind,[status(th)],[])).
% 0.18/0.49 tff(43,plain,
% 0.18/0.49 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))),
% 0.18/0.49 inference(quant_intro,[status(thm)],[42])).
% 0.18/0.49 tff(44,plain,
% 0.18/0.49 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))))),
% 0.18/0.49 inference(bind,[status(th)],[])).
% 0.18/0.49 tff(45,plain,
% 0.18/0.49 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))),
% 0.18/0.49 inference(quant_intro,[status(thm)],[44])).
% 0.18/0.49 tff(46,plain,
% 0.18/0.49 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))),
% 0.18/0.49 inference(transitivity,[status(thm)],[45, 43])).
% 0.18/0.49 tff(47,plain,
% 0.18/0.49 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A)) <=> (~(v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))))), ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) <=> (~(~(v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)))), ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(B)) & m1_pre_topc(B, A)) <=> (~(v3_struct_0(B) | (~m1_pre_topc(B, A))))), ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) <=> (~(~(v3_struct_0(B) | (~m1_pre_topc(B, A))))))), rewrite((~(~(v3_struct_0(B) | (~m1_pre_topc(B, A))))) <=> (v3_struct_0(B) | (~m1_pre_topc(B, A)))), ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) <=> (v3_struct_0(B) | (~m1_pre_topc(B, A))))), trans(monotonicity(rewrite(((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) <=> ((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))), rewrite((r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))) <=> (r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))), ((((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))) <=> (((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))) & (r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))), rewrite((((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))) & (r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))) <=> (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))), ((((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))) <=> (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))), (((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))) <=> ((v3_struct_0(B) | (~m1_pre_topc(B, A))) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))), rewrite(((v3_struct_0(B) | (~m1_pre_topc(B, A))) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))) <=> (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))), (((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))) <=> (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))))), (![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))) <=> ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))), (((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))))) <=> ((v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))))), rewrite(((v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B))))))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))), (((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))))),
% 0.18/0.49 inference(bind,[status(th)],[])).
% 0.18/0.49 tff(48,plain,
% 0.18/0.49 (![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))),
% 0.18/0.49 inference(quant_intro,[status(thm)],[47])).
% 0.18/0.49 tff(49,plain,
% 0.18/0.49 (![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))),
% 0.18/0.49 inference(rewrite,[status(thm)],[])).
% 0.18/0.49 tff(50,plain,
% 0.18/0.49 (^[A: $i] : trans(monotonicity(rewrite((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) <=> ((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(rewrite((r1_borsuk_1(A, B) <=> ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B))) <=> (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))), ((((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)))) <=> (((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))), rewrite((((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))) <=> ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))), ((((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)))) <=> ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))))), (![B: $i] : (((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)))) <=> ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))), (((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : (((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B))))) <=> (((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))))), rewrite((((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))) <=> ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))), (((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : (((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B))))) <=> ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))))),
% 0.18/0.49 inference(bind,[status(th)],[])).
% 0.18/0.49 tff(51,plain,
% 0.18/0.49 (![A: $i] : ((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : (((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))),
% 0.18/0.49 inference(quant_intro,[status(thm)],[50])).
% 0.18/0.49 tff(52,axiom,(![A: $i] : ((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : (((~v3_struct_0(B)) & m1_pre_topc(B, A)) => (r1_borsuk_1(A, B) <=> ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d20_borsuk_1')).
% 0.18/0.49 tff(53,plain,
% 0.18/0.49 (![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.18/0.49 tff(54,plain,
% 0.18/0.49 (![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (r1_borsuk_1(A, B) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.18/0.49 tff(55,plain,(
% 0.18/0.49 ![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & m1_pre_topc(B, A))) | (((~r1_borsuk_1(A, B)) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) & (r1_borsuk_1(A, B) | ![C: $i] : (~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))))),
% 0.18/0.49 inference(skolemize,[status(sab)],[54])).
% 0.18/0.49 tff(56,plain,
% 0.18/0.49 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.18/0.49 tff(57,plain,
% 0.18/0.49 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[56, 46])).
% 0.18/0.49 tff(58,plain,
% 0.18/0.49 (v2_pre_topc(A!0)),
% 0.18/0.49 inference(and_elim,[status(thm)],[28])).
% 0.18/0.49 tff(59,plain,
% 0.18/0.49 (~v3_struct_0(A!0)),
% 0.18/0.49 inference(and_elim,[status(thm)],[28])).
% 0.18/0.49 tff(60,plain,
% 0.18/0.49 (((~![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))) | (v3_struct_0(A!0) | (~l1_pre_topc(A!0)) | (~v2_pre_topc(A!0)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B)))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))) | v3_struct_0(A!0) | (~l1_pre_topc(A!0)) | (~v2_pre_topc(A!0)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B)))))))))),
% 0.18/0.49 inference(rewrite,[status(thm)],[])).
% 0.18/0.49 tff(61,plain,
% 0.18/0.49 ((~![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))) | (v3_struct_0(A!0) | (~l1_pre_topc(A!0)) | (~v2_pre_topc(A!0)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B)))))))))),
% 0.18/0.49 inference(quant_inst,[status(thm)],[])).
% 0.18/0.49 tff(62,plain,
% 0.18/0.49 ((~![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A)) | (~((~((~r1_borsuk_1(A, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) | (~(r1_borsuk_1(A, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(C, A, B)) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(C, A, B)))))))))) | v3_struct_0(A!0) | (~l1_pre_topc(A!0)) | (~v2_pre_topc(A!0)) | ![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B))))))))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.18/0.49 tff(63,plain,
% 0.18/0.49 (![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B))))))))),
% 0.18/0.49 inference(unit_resolution,[status(thm)],[62, 59, 58, 29, 57])).
% 0.18/0.49 tff(64,plain,
% 0.18/0.49 (~v3_struct_0(B!1)),
% 0.18/0.49 inference(and_elim,[status(thm)],[37])).
% 0.18/0.49 tff(65,plain,
% 0.18/0.49 (((~![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B))))))))) | (v3_struct_0(B!1) | (~m1_pre_topc(B!1, A!0)) | (~((~((~r1_borsuk_1(A!0, B!1)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))) | (~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B))))))))) | v3_struct_0(B!1) | (~m1_pre_topc(B!1, A!0)) | (~((~((~r1_borsuk_1(A!0, B!1)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))) | (~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1))))))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(66,plain,
% 0.18/0.50 ((~![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B))))))))) | (v3_struct_0(B!1) | (~m1_pre_topc(B!1, A!0)) | (~((~((~r1_borsuk_1(A!0, B!1)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))) | (~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1))))))))),
% 0.18/0.50 inference(quant_inst,[status(thm)],[])).
% 0.18/0.50 tff(67,plain,
% 0.18/0.50 ((~![B: $i] : (v3_struct_0(B) | (~m1_pre_topc(B, A!0)) | (~((~((~r1_borsuk_1(A!0, B)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (~(r1_borsuk_1(A!0, B) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(C, A!0, B)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(C, A!0, B))))))))) | v3_struct_0(B!1) | (~m1_pre_topc(B!1, A!0)) | (~((~((~r1_borsuk_1(A!0, B!1)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))) | (~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))))))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.18/0.50 tff(68,plain,
% 0.18/0.50 ((~m1_pre_topc(B!1, A!0)) | (~((~((~r1_borsuk_1(A!0, B!1)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))) | (~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))))))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[67, 64, 63])).
% 0.18/0.50 tff(69,plain,
% 0.18/0.50 (~((~((~r1_borsuk_1(A!0, B!1)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))) | (~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1))))))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[68, 41])).
% 0.18/0.50 tff(70,plain,
% 0.18/0.50 (((~((~r1_borsuk_1(A!0, B!1)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))) | (~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))))) | (r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1))))),
% 0.18/0.50 inference(tautology,[status(thm)],[])).
% 0.18/0.50 tff(71,plain,
% 0.18/0.50 (r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.18/0.50 tff(72,plain,
% 0.18/0.50 (~r1_borsuk_1(A!0, B!1)),
% 0.18/0.50 inference(or_elim,[status(thm)],[36])).
% 0.18/0.50 tff(73,plain,
% 0.18/0.50 ((~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1))))) | r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))),
% 0.18/0.50 inference(tautology,[status(thm)],[])).
% 0.18/0.50 tff(74,plain,
% 0.18/0.50 ((~(r1_borsuk_1(A!0, B!1) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1))))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.18/0.50 tff(75,plain,
% 0.18/0.50 (![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[74, 71])).
% 0.18/0.50 tff(76,plain,
% 0.18/0.50 (^[A: $i] : refl((v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))))),
% 0.18/0.50 inference(bind,[status(th)],[])).
% 0.18/0.50 tff(77,plain,
% 0.18/0.50 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))),
% 0.18/0.50 inference(quant_intro,[status(thm)],[76])).
% 0.18/0.50 tff(78,plain,
% 0.18/0.50 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))))),
% 0.18/0.50 inference(bind,[status(th)],[])).
% 0.18/0.50 tff(79,plain,
% 0.18/0.50 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))),
% 0.18/0.50 inference(quant_intro,[status(thm)],[78])).
% 0.18/0.50 tff(80,plain,
% 0.18/0.50 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))),
% 0.18/0.50 inference(transitivity,[status(thm)],[79, 77])).
% 0.18/0.50 tff(81,plain,
% 0.18/0.50 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A)) <=> (~(v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))))), ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) <=> (~(~(v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)))), ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A)) <=> (~(v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A))))), ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) <=> (~(~(v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A))))))), rewrite((~(~(v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A))))) <=> (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)))), ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) <=> (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A))))), rewrite((v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B)) <=> (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))), (((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) <=> ((v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A))) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))), rewrite(((v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A))) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))) <=> (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))), (((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) <=> (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))))), (![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))) <=> ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))), (((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))) <=> ((v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))))), rewrite(((v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A))) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))), (((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))) <=> (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))))),
% 0.18/0.50 inference(bind,[status(th)],[])).
% 0.18/0.50 tff(82,plain,
% 0.18/0.50 (![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B)))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))),
% 0.18/0.50 inference(quant_intro,[status(thm)],[81])).
% 0.18/0.50 tff(83,plain,
% 0.18/0.50 (![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(84,plain,
% 0.18/0.50 (^[A: $i] : trans(monotonicity(rewrite((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) <=> ((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(rewrite((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) <=> ((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) <=> (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B))), ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> ((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), rewrite(((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))), ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), (((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)) <=> ((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)))), rewrite(((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)) <=> (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))), (((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)) <=> (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))), (?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)) <=> ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))), (((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B))) <=> (((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A)) => ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))), rewrite((((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A)) => ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))) <=> ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))), (((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B))) <=> ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))), (![B: $i] : ((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B))) <=> ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))), (((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : ((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)))) <=> (((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))))), rewrite((((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B)))) <=> ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))), (((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : ((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)))) <=> ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))))),
% 0.18/0.50 inference(bind,[status(th)],[])).
% 0.18/0.50 tff(85,plain,
% 0.18/0.50 (![A: $i] : ((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : ((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B)))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))),
% 0.18/0.50 inference(quant_intro,[status(thm)],[84])).
% 0.18/0.50 tff(86,axiom,(![A: $i] : ((((~v3_struct_0(A)) & v2_pre_topc(A)) & l1_pre_topc(A)) => ![B: $i] : ((((~v3_struct_0(B)) & v2_tsp_2(B, A)) & m2_tsp_1(B, A)) => ?[C: $i] : ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & v5_pre_topc(C, A, B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) & v3_borsuk_1(C, A, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t22_tsp_2')).
% 0.18/0.50 tff(87,plain,
% 0.18/0.50 (![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.18/0.50 tff(88,plain,
% 0.18/0.50 (![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | ?[C: $i] : (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(C, A, B) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(C, A, B))))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.18/0.50 tff(89,plain,(
% 0.18/0.50 ![A: $i] : ((~((~v3_struct_0(A)) & v2_pre_topc(A) & l1_pre_topc(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & v2_tsp_2(B, A) & m2_tsp_1(B, A))) | (v1_funct_1(tptp_fun_C_2(B, A)) & v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v5_pre_topc(tptp_fun_C_2(B, A), A, B) & m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B)) & v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))),
% 0.18/0.50 inference(skolemize,[status(sab)],[88])).
% 0.18/0.50 tff(90,plain,
% 0.18/0.50 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.18/0.50 tff(91,plain,
% 0.18/0.50 (![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[90, 80])).
% 0.18/0.50 tff(92,plain,
% 0.18/0.50 (((~![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))) | (v3_struct_0(A!0) | (~l1_pre_topc(A!0)) | (~v2_pre_topc(A!0)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))) | v3_struct_0(A!0) | (~l1_pre_topc(A!0)) | (~v2_pre_topc(A!0)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B))))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(93,plain,
% 0.18/0.50 ((~![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))) | (v3_struct_0(A!0) | (~l1_pre_topc(A!0)) | (~v2_pre_topc(A!0)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B))))))),
% 0.18/0.50 inference(quant_inst,[status(thm)],[])).
% 0.18/0.50 tff(94,plain,
% 0.18/0.50 ((~![A: $i] : (v3_struct_0(A) | (~l1_pre_topc(A)) | (~v2_pre_topc(A)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A)) | (~m2_tsp_1(B, A)) | (~((~v1_funct_1(tptp_fun_C_2(B, A))) | (~v1_funct_2(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A), A, B)) | (~m2_relset_1(tptp_fun_C_2(B, A), u1_struct_0(A), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A), A, B))))))) | v3_struct_0(A!0) | (~l1_pre_topc(A!0)) | (~v2_pre_topc(A!0)) | ![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.18/0.50 tff(95,plain,
% 0.18/0.50 (![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[94, 59, 58, 29, 91])).
% 0.18/0.50 tff(96,plain,
% 0.18/0.50 (v2_tsp_2(B!1, A!0)),
% 0.18/0.50 inference(and_elim,[status(thm)],[37])).
% 0.18/0.50 tff(97,plain,
% 0.18/0.50 (((~![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (v3_struct_0(B!1) | (~v2_tsp_2(B!1, A!0)) | (~m2_tsp_1(B!1, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | v3_struct_0(B!1) | (~v2_tsp_2(B!1, A!0)) | (~m2_tsp_1(B!1, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(98,plain,
% 0.18/0.50 ((~![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | (v3_struct_0(B!1) | (~v2_tsp_2(B!1, A!0)) | (~m2_tsp_1(B!1, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))))),
% 0.18/0.50 inference(quant_inst,[status(thm)],[])).
% 0.18/0.50 tff(99,plain,
% 0.18/0.50 ((~![B: $i] : (v3_struct_0(B) | (~v2_tsp_2(B, A!0)) | (~m2_tsp_1(B, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B, A!0))) | (~v1_funct_2(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v5_pre_topc(tptp_fun_C_2(B, A!0), A!0, B)) | (~m2_relset_1(tptp_fun_C_2(B, A!0), u1_struct_0(A!0), u1_struct_0(B))) | (~v3_borsuk_1(tptp_fun_C_2(B, A!0), A!0, B)))))) | v3_struct_0(B!1) | (~v2_tsp_2(B!1, A!0)) | (~m2_tsp_1(B!1, A!0)) | (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1))))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.18/0.50 tff(100,plain,
% 0.18/0.50 (~((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[99, 64, 96, 38, 95])).
% 0.18/0.50 tff(101,plain,
% 0.18/0.50 (((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1))) | v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)),
% 0.18/0.51 inference(tautology,[status(thm)],[])).
% 0.18/0.51 tff(102,plain,
% 0.18/0.51 (v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)),
% 0.18/0.51 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.18/0.51 tff(103,plain,
% 0.18/0.51 (((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1))) | m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.18/0.51 inference(tautology,[status(thm)],[])).
% 0.18/0.51 tff(104,plain,
% 0.18/0.51 (m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.18/0.51 inference(unit_resolution,[status(thm)],[103, 100])).
% 0.18/0.51 tff(105,plain,
% 0.18/0.51 (((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1))) | v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)),
% 0.18/0.51 inference(tautology,[status(thm)],[])).
% 0.18/0.51 tff(106,plain,
% 0.18/0.51 (v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)),
% 0.18/0.51 inference(unit_resolution,[status(thm)],[105, 100])).
% 0.18/0.51 tff(107,plain,
% 0.18/0.51 (((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1))) | v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.18/0.51 inference(tautology,[status(thm)],[])).
% 0.18/0.51 tff(108,plain,
% 0.18/0.51 (v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.18/0.51 inference(unit_resolution,[status(thm)],[107, 100])).
% 0.18/0.51 tff(109,plain,
% 0.18/0.51 (((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1))) | v1_funct_1(tptp_fun_C_2(B!1, A!0))),
% 0.18/0.51 inference(tautology,[status(thm)],[])).
% 0.18/0.51 tff(110,plain,
% 0.18/0.51 (v1_funct_1(tptp_fun_C_2(B!1, A!0))),
% 0.18/0.51 inference(unit_resolution,[status(thm)],[109, 100])).
% 0.18/0.51 tff(111,plain,
% 0.18/0.51 (((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))) | ((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))) | (~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))),
% 0.18/0.51 inference(rewrite,[status(thm)],[])).
% 0.18/0.51 tff(112,plain,
% 0.18/0.51 ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))) | ((~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1)))),
% 0.18/0.51 inference(quant_inst,[status(thm)],[])).
% 0.18/0.51 tff(113,plain,
% 0.18/0.51 ((~![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(C, A!0, B!1)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(C, A!0, B!1)))) | (~v1_funct_1(tptp_fun_C_2(B!1, A!0))) | (~v1_funct_2(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v5_pre_topc(tptp_fun_C_2(B!1, A!0), A!0, B!1)) | (~m2_relset_1(tptp_fun_C_2(B!1, A!0), u1_struct_0(A!0), u1_struct_0(B!1))) | (~v3_borsuk_1(tptp_fun_C_2(B!1, A!0), A!0, B!1))),
% 0.18/0.51 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.18/0.51 tff(114,plain,
% 0.18/0.51 ($false),
% 0.18/0.51 inference(unit_resolution,[status(thm)],[113, 110, 108, 106, 104, 102, 75])).
% 0.18/0.51 % SZS output end Proof
%------------------------------------------------------------------------------