%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP035+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:56:41 PM UTC 2026
% Result : Theorem 3.82s 3.15s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 68 ( 27 unt; 0 def)
% Number of atoms : 356 ( 37 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 454 ( 166 ~; 170 |; 75 &)
% ( 4 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 110 ( 0 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t24_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( X3 = X4
=> k5_pre_topc(X1,X2,k1_tsp_2(X1,X2),k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_tsp_2) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(d9_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X3 = k1_tsp_2(X1,X2)
<=> v3_borsuk_1(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_tsp_2) ).
fof(dt_k1_tsp_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k1_tsp_2(X1,X2))
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(redefinition_k1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(l33_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v3_borsuk_1(X3,X1,X2)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ( X4 = X5
=> k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X5))) = k6_pre_topc(X1,k1_struct_0(X1,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l33_tsp_2) ).
fof(redefinition_k5_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_pre_topc) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( X3 = X4
=> k5_pre_topc(X1,X2,k1_tsp_2(X1,X2),k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t24_tsp_2])]) ).
fof(c_0_11,plain,
! [X297,X298] :
( ~ l1_pre_topc(X297)
| ~ m2_tsp_1(X298,X297)
| l1_pre_topc(X298) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])]) ).
fof(c_0_12,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk2_0))
& esk3_0 = esk4_0
& k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk4_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X3 = k1_tsp_2(X1,X2)
<=> v3_borsuk_1(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[d9_tsp_2]) ).
fof(c_0_14,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k1_tsp_2(X1,X2))
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_tsp_2]) ).
fof(c_0_15,plain,
! [X361,X362] :
( ( ~ m2_tsp_1(X362,X361)
| m1_pre_topc(X362,X361)
| ~ l1_pre_topc(X361) )
& ( ~ m1_pre_topc(X362,X361)
| m2_tsp_1(X362,X361)
| ~ l1_pre_topc(X361) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])]) ).
fof(c_0_16,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_struct_0]) ).
fof(c_0_17,plain,
! [X291] :
( ~ l1_pre_topc(X291)
| l1_struct_0(X291) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_18,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v3_borsuk_1(X3,X1,X2)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ( X4 = X5
=> k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X5))) = k6_pre_topc(X1,k1_struct_0(X1,X4)) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[l33_tsp_2]) ).
fof(c_0_22,plain,
! [X278,X279,X280] :
( ( X280 != k1_tsp_2(X278,X279)
| v3_borsuk_1(X280,X278,X279)
| ~ v1_funct_1(X280)
| ~ v1_funct_2(X280,u1_struct_0(X278),u1_struct_0(X279))
| ~ v5_pre_topc(X280,X278,X279)
| ~ m2_relset_1(X280,u1_struct_0(X278),u1_struct_0(X279))
| v3_struct_0(X279)
| ~ v2_tsp_2(X279,X278)
| ~ m2_tsp_1(X279,X278)
| v3_struct_0(X278)
| ~ v2_pre_topc(X278)
| ~ l1_pre_topc(X278) )
& ( ~ v3_borsuk_1(X280,X278,X279)
| X280 = k1_tsp_2(X278,X279)
| ~ v1_funct_1(X280)
| ~ v1_funct_2(X280,u1_struct_0(X278),u1_struct_0(X279))
| ~ v5_pre_topc(X280,X278,X279)
| ~ m2_relset_1(X280,u1_struct_0(X278),u1_struct_0(X279))
| v3_struct_0(X279)
| ~ v2_tsp_2(X279,X278)
| ~ m2_tsp_1(X279,X278)
| v3_struct_0(X278)
| ~ v2_pre_topc(X278)
| ~ l1_pre_topc(X278) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_23,plain,
! [X283,X284] :
( ( v1_funct_1(k1_tsp_2(X283,X284))
| v3_struct_0(X283)
| ~ v2_pre_topc(X283)
| ~ l1_pre_topc(X283)
| v3_struct_0(X284)
| ~ v2_tsp_2(X284,X283)
| ~ m1_pre_topc(X284,X283) )
& ( v1_funct_2(k1_tsp_2(X283,X284),u1_struct_0(X283),u1_struct_0(X284))
| v3_struct_0(X283)
| ~ v2_pre_topc(X283)
| ~ l1_pre_topc(X283)
| v3_struct_0(X284)
| ~ v2_tsp_2(X284,X283)
| ~ m1_pre_topc(X284,X283) )
& ( v5_pre_topc(k1_tsp_2(X283,X284),X283,X284)
| v3_struct_0(X283)
| ~ v2_pre_topc(X283)
| ~ l1_pre_topc(X283)
| v3_struct_0(X284)
| ~ v2_tsp_2(X284,X283)
| ~ m1_pre_topc(X284,X283) )
& ( m2_relset_1(k1_tsp_2(X283,X284),u1_struct_0(X283),u1_struct_0(X284))
| v3_struct_0(X283)
| ~ v2_pre_topc(X283)
| ~ l1_pre_topc(X283)
| v3_struct_0(X284)
| ~ v2_tsp_2(X284,X283)
| ~ m1_pre_topc(X284,X283) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_24,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_25,plain,
! [X354,X355,X356,X357] :
( ~ l1_struct_0(X354)
| ~ l1_struct_0(X355)
| ~ v1_funct_1(X356)
| ~ v1_funct_2(X356,u1_struct_0(X354),u1_struct_0(X355))
| ~ m1_relset_1(X356,u1_struct_0(X354),u1_struct_0(X355))
| k5_pre_topc(X354,X355,X356,X357) = k10_relat_1(X356,X357) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_pre_topc])]) ).
fof(c_0_26,plain,
! [X358,X359,X360] :
( ( ~ m2_relset_1(X360,X358,X359)
| m1_relset_1(X360,X358,X359) )
& ( ~ m1_relset_1(X360,X358,X359)
| m2_relset_1(X360,X358,X359) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_27,plain,
! [X352,X353] :
( v3_struct_0(X352)
| ~ l1_struct_0(X352)
| ~ m1_subset_1(X353,u1_struct_0(X352))
| k1_struct_0(X352,X353) = k1_tarski(X353) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
fof(c_0_32,plain,
! [X325,X326,X327,X328,X329] :
( v3_struct_0(X325)
| ~ v2_pre_topc(X325)
| ~ l1_pre_topc(X325)
| v3_struct_0(X326)
| ~ v2_tsp_2(X326,X325)
| ~ m2_tsp_1(X326,X325)
| ~ v1_funct_1(X327)
| ~ v1_funct_2(X327,u1_struct_0(X325),u1_struct_0(X326))
| ~ v5_pre_topc(X327,X325,X326)
| ~ m2_relset_1(X327,u1_struct_0(X325),u1_struct_0(X326))
| ~ v3_borsuk_1(X327,X325,X326)
| ~ m1_subset_1(X328,u1_struct_0(X325))
| ~ m1_subset_1(X329,u1_struct_0(X326))
| X328 != X329
| k5_pre_topc(X325,X326,X327,k6_pre_topc(X326,k1_struct_0(X326,X329))) = k6_pre_topc(X325,k1_struct_0(X325,X328)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_33,plain,
( v3_borsuk_1(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_tsp_2(X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v5_pre_topc(X1,X2,X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_tsp_2(X3,X2)
| ~ m2_tsp_1(X3,X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_19]),c_0_20])]) ).
cnf(c_0_36,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,plain,
( v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_41,plain,
( v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_42,plain,
( v1_funct_1(k1_tsp_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_43,plain,
( k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk4_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_46,plain,
( v3_struct_0(X1)
| k1_struct_0(X1,X2) = k1_tarski(X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_47,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_48,negated_conjecture,
l1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_50,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X5))) = k6_pre_topc(X1,k1_struct_0(X1,X4))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v3_borsuk_1(X3,X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| X4 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( v3_borsuk_1(k1_tsp_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
| ~ v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k1_tsp_2(X1,X2))
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_53,negated_conjecture,
m2_relset_1(k1_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_20]),c_0_37])]),c_0_38]),c_0_39]) ).
cnf(c_0_54,negated_conjecture,
v5_pre_topc(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_35]),c_0_36]),c_0_20]),c_0_37])]),c_0_38]),c_0_39]) ).
cnf(c_0_55,negated_conjecture,
v1_funct_2(k1_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_36]),c_0_20]),c_0_37])]),c_0_38]),c_0_39]) ).
cnf(c_0_56,negated_conjecture,
v1_funct_1(k1_tsp_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_35]),c_0_36]),c_0_20]),c_0_37])]),c_0_38]),c_0_39]) ).
cnf(c_0_57,plain,
( k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_58,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk3_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)),
inference(rw,[status(thm)],[c_0_45,c_0_29]) ).
cnf(c_0_59,negated_conjecture,
k1_struct_0(esk2_0,esk3_0) = k1_tarski(esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),c_0_38]) ).
cnf(c_0_60,negated_conjecture,
k1_struct_0(esk1_0,esk3_0) = k1_tarski(esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_49]),c_0_50])]),c_0_39]) ).
cnf(c_0_61,plain,
( k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X4))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_borsuk_1(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_62,negated_conjecture,
v3_borsuk_1(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_19]),c_0_36]),c_0_20]),c_0_37])]),c_0_39]),c_0_38]) ).
cnf(c_0_63,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),X1) = k10_relat_1(k1_tsp_2(esk1_0,esk2_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_53]),c_0_48]),c_0_50]),c_0_55]),c_0_56])]) ).
cnf(c_0_64,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_tarski(esk3_0))) != k6_pre_topc(esk1_0,k1_tarski(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( k10_relat_1(k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,X1))) = k6_pre_topc(esk1_0,k1_struct_0(esk1_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_53]),c_0_62]),c_0_54]),c_0_55]),c_0_56]),c_0_19]),c_0_36]),c_0_20]),c_0_37])]),c_0_39]),c_0_38]),c_0_63]) ).
cnf(c_0_66,negated_conjecture,
k10_relat_1(k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_tarski(esk3_0))) != k6_pre_topc(esk1_0,k1_tarski(esk3_0)),
inference(rw,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_60]),c_0_47]),c_0_49])]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : TOP035+1 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.18/0.34 % Computer : n003.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 09:58:26 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 3.82/3.15 % Version : CSE_E---1.7
% 3.82/3.15 % Problem : theBenchmark.p
% 3.82/3.15 % SZS status Theorem for theBenchmark.p
% 3.82/3.15 % SZS output start CNFRefutation
% See solution above
% 3.82/3.16 % Total time : 2.378s
%------------------------------------------------------------------------------