%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP035+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:53:55 PM UTC 2026
% Result : Theorem 1.09s 0.72s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% Number of atoms : 312 ( 25 equ)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 423 ( 156 ~; 156 |; 70 &)
% ( 3 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 74 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t24_tsp_2,conjecture,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [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/sandbox2/benchmark/theBenchmark.p',t24_tsp_2) ).
fof(l33_tsp_2,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( 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) )
=> ( 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/sandbox2/benchmark/theBenchmark.p',l33_tsp_2) ).
fof(d9_tsp_2,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( 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) )
=> ( X3 = k1_tsp_2(X1,X2)
<=> v3_borsuk_1(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_tsp_2) ).
fof(dt_k1_tsp_2,axiom,
! [X1,X2] :
( ( m1_pre_topc(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ 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)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [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(assume_negation,[status(cth)],[t24_tsp_2]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [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)],[c_0_5]) ).
fof(c_0_7,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( 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) )
=> ( 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_8,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))
& esk3_0 = esk4_0
& m1_subset_1(esk4_0,u1_struct_0(esk2_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m2_tsp_1(esk2_0,esk1_0)
& v2_tsp_2(esk2_0,esk1_0)
& ~ v3_struct_0(esk2_0)
& l1_pre_topc(esk1_0)
& v2_pre_topc(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X70,X71,X72,X73,X74] :
( k5_pre_topc(X70,X71,X72,k6_pre_topc(X71,k1_struct_0(X71,X74))) = k6_pre_topc(X70,k1_struct_0(X70,X73))
| X73 != X74
| ~ m1_subset_1(X74,u1_struct_0(X71))
| ~ m1_subset_1(X73,u1_struct_0(X70))
| ~ v3_borsuk_1(X72,X70,X71)
| ~ m2_relset_1(X72,u1_struct_0(X70),u1_struct_0(X71))
| ~ v5_pre_topc(X72,X70,X71)
| ~ v1_funct_2(X72,u1_struct_0(X70),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| ~ m2_tsp_1(X71,X70)
| ~ v2_tsp_2(X71,X70)
| v3_struct_0(X71)
| ~ l1_pre_topc(X70)
| ~ v2_pre_topc(X70)
| v3_struct_0(X70) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_10,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( 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) )
=> ( X3 = k1_tsp_2(X1,X2)
<=> v3_borsuk_1(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[d9_tsp_2]) ).
cnf(c_0_11,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_8]) ).
cnf(c_0_12,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( X4 != X5
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_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)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X5))) = k6_pre_topc(X1,k1_struct_0(X1,X4))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
! [X1,X2] :
( ( m1_pre_topc(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ 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)) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_tsp_2]) ).
fof(c_0_16,plain,
! [X33,X34] :
( ( ~ l1_pre_topc(X33)
| m2_tsp_1(X34,X33)
| ~ m1_pre_topc(X34,X33) )
& ( ~ l1_pre_topc(X33)
| m1_pre_topc(X34,X33)
| ~ m2_tsp_1(X34,X33) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])])]) ).
fof(c_0_17,plain,
! [X22,X23,X24] :
( ( ~ l1_pre_topc(X22)
| ~ v2_pre_topc(X22)
| v3_struct_0(X22)
| ~ m2_tsp_1(X23,X22)
| ~ v2_tsp_2(X23,X22)
| v3_struct_0(X23)
| ~ m2_relset_1(X24,u1_struct_0(X22),u1_struct_0(X23))
| ~ v5_pre_topc(X24,X22,X23)
| ~ v1_funct_2(X24,u1_struct_0(X22),u1_struct_0(X23))
| ~ v1_funct_1(X24)
| X24 = k1_tsp_2(X22,X23)
| ~ v3_borsuk_1(X24,X22,X23) )
& ( ~ l1_pre_topc(X22)
| ~ v2_pre_topc(X22)
| v3_struct_0(X22)
| ~ m2_tsp_1(X23,X22)
| ~ v2_tsp_2(X23,X22)
| v3_struct_0(X23)
| ~ m2_relset_1(X24,u1_struct_0(X22),u1_struct_0(X23))
| ~ v5_pre_topc(X24,X22,X23)
| ~ v1_funct_2(X24,u1_struct_0(X22),u1_struct_0(X23))
| ~ v1_funct_1(X24)
| v3_borsuk_1(X24,X22,X23)
| X24 != k1_tsp_2(X22,X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
cnf(c_0_18,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_11,c_0_12]) ).
cnf(c_0_19,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ 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)
| v3_struct_0(X1)
| v3_struct_0(X2)
| k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X4)) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_28,plain,
! [X25,X26] :
( ( ~ m1_pre_topc(X26,X25)
| ~ v2_tsp_2(X26,X25)
| v3_struct_0(X26)
| ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| v3_struct_0(X25)
| m2_relset_1(k1_tsp_2(X25,X26),u1_struct_0(X25),u1_struct_0(X26)) )
& ( ~ m1_pre_topc(X26,X25)
| ~ v2_tsp_2(X26,X25)
| v3_struct_0(X26)
| ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| v3_struct_0(X25)
| v5_pre_topc(k1_tsp_2(X25,X26),X25,X26) )
& ( ~ m1_pre_topc(X26,X25)
| ~ v2_tsp_2(X26,X25)
| v3_struct_0(X26)
| ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| v3_struct_0(X25)
| v1_funct_2(k1_tsp_2(X25,X26),u1_struct_0(X25),u1_struct_0(X26)) )
& ( ~ m1_pre_topc(X26,X25)
| ~ v2_tsp_2(X26,X25)
| v3_struct_0(X26)
| ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| v3_struct_0(X25)
| v1_funct_1(k1_tsp_2(X25,X26)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
cnf(c_0_29,plain,
( ~ l1_pre_topc(X2)
| ~ m2_tsp_1(X1,X2)
| m1_pre_topc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,plain,
( ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m2_tsp_1(X3,X2)
| ~ v2_tsp_2(X3,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v5_pre_topc(X1,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| X1 != k1_tsp_2(X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v3_borsuk_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
( ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0))
| ~ v1_funct_2(k1_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v5_pre_topc(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
| ~ m2_relset_1(k1_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ 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(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_22]),c_0_24])]) ).
cnf(c_0_34,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(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))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_borsuk_1(k1_tsp_2(X1,X2),X1,X2) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| m2_tsp_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(k1_tsp_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v5_pre_topc(k1_tsp_2(X1,X2),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
( ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0))
| ~ v5_pre_topc(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
| ~ m2_relset_1(k1_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ 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(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_23]),c_0_24]),c_0_25])]),c_0_27]),c_0_26]) ).
cnf(c_0_40,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v3_borsuk_1(k1_tsp_2(X1,X2),X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_35]),c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0))
| ~ v5_pre_topc(k1_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
| ~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_33]),c_0_23]),c_0_24]),c_0_25])]),c_0_27]),c_0_26]) ).
cnf(c_0_42,negated_conjecture,
( ~ v1_funct_1(k1_tsp_2(esk1_0,esk2_0))
| ~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_33]),c_0_23]),c_0_24]),c_0_25])]),c_0_27]),c_0_26]) ).
cnf(c_0_43,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_37]),c_0_33]),c_0_23]),c_0_24]),c_0_25])]),c_0_27]),c_0_26]) ).
cnf(c_0_44,negated_conjecture,
$false,
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(spm,[status(thm)],[c_0_43,c_0_36]),c_0_33]),c_0_23]),c_0_24]),c_0_25])]),c_0_27]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n005.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Mon Sep 21 12:42:33 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.54 Running first-order theorem proving
% 0.24/0.54 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.09/0.72 % Version: 3.5.1
% 1.09/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.09/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.09/0.72 % Starting new_bool_3 with 300s (1) cores
% 1.09/0.72 % Starting new_bool_1 with 300s (1) cores
% 1.09/0.72 % Starting sh5l with 300s (1) cores
% 1.09/0.72 % new_bool_1 with pid 3481133 completed with status 0
% 1.09/0.72 % Result found by new_bool_1
% 1.09/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.09/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.09/0.72 % Starting new_bool_3 with 300s (1) cores
% 1.09/0.72 % Starting new_bool_1 with 300s (1) cores
% 1.09/0.72 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.09/0.72 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.09/0.72 % Search class: FGUSM-FFMM31-MFFFFFNN
% 1.09/0.72 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 1.09/0.72 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.72 % Starting SubtermCWHack with 28s (1) cores
% 1.09/0.72 % SubtermCWHack with pid 3481137 completed with status 0
% 1.09/0.72 % Result found by SubtermCWHack
% 1.09/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.09/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.09/0.72 % Starting new_bool_3 with 300s (1) cores
% 1.09/0.72 % Starting new_bool_1 with 300s (1) cores
% 1.09/0.72 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.09/0.72 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.09/0.72 % Search class: FGUSM-FFMM31-MFFFFFNN
% 1.09/0.72 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 1.09/0.72 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.72 % Starting SubtermCWHack with 28s (1) cores
% 1.09/0.72 % Preprocessing time : 0.004 s
% 1.09/0.72
% 1.09/0.72 % Proof found!
% 1.09/0.72 % SZS status Theorem
% 1.09/0.72 % SZS output start CNFRefutation
% See solution above
% 1.09/0.72 % Parsed axioms : 110
% 1.09/0.72 % Removed by relevancy pruning/SinE : 58
% 1.09/0.72 % Initial clauses : 113
% 1.09/0.72 % Removed in clause preprocessing : 5
% 1.09/0.72 % Initial clauses in saturation : 108
% 1.09/0.72 % Processed clauses : 828
% 1.09/0.72 % ...of these trivial : 0
% 1.09/0.72 % ...subsumed : 358
% 1.09/0.72 % ...remaining for further processing : 470
% 1.09/0.72 % Other redundant clauses eliminated : 2
% 1.09/0.72 % Clauses deleted for lack of memory : 0
% 1.09/0.72 % Backward-subsumed : 5
% 1.09/0.72 % Backward-rewritten : 16
% 1.09/0.72 % Generated clauses : 816
% 1.09/0.72 % ...of the previous two non-redundant : 779
% 1.09/0.72 % ...aggressively subsumed : 0
% 1.09/0.72 % Contextual simplify-reflections : 5
% 1.09/0.72 % Paramodulations : 814
% 1.09/0.72 % Factorizations : 0
% 1.09/0.72 % NegExts : 0
% 1.09/0.72 % Equation resolutions : 2
% 1.09/0.72 % Disequality decompositions : 0
% 1.09/0.72 % Total rewrite steps : 108
% 1.09/0.72 % ...of those cached : 83
% 1.09/0.72 % Propositional unsat checks : 0
% 1.09/0.72 % Propositional check models : 0
% 1.09/0.72 % Propositional check unsatisfiable : 0
% 1.09/0.72 % Propositional clauses : 0
% 1.09/0.72 % Propositional clauses after purity: 0
% 1.09/0.72 % Propositional unsat core size : 0
% 1.09/0.72 % Propositional preprocessing time : 0.000
% 1.09/0.72 % Propositional encoding time : 0.000
% 1.09/0.72 % Propositional solver time : 0.000
% 1.09/0.72 % Success case prop preproc time : 0.000
% 1.09/0.72 % Success case prop encoding time : 0.000
% 1.09/0.72 % Success case prop solver time : 0.000
% 1.09/0.72 % Current number of processed clauses : 447
% 1.09/0.72 % Positive orientable unit clauses : 25
% 1.09/0.72 % Positive unorientable unit clauses: 1
% 1.09/0.72 % Negative unit clauses : 8
% 1.09/0.72 % Non-unit-clauses : 413
% 1.09/0.72 % Current number of unprocessed clauses: 46
% 1.09/0.72 % ...number of literals in the above : 782
% 1.09/0.72 % Current number of archived formulas : 0
% 1.09/0.72 % Current number of archived clauses : 21
% 1.09/0.72 % Clause-clause subsumption calls (NU) : 73604
% 1.09/0.72 % Rec. Clause-clause subsumption calls : 9378
% 1.09/0.72 % Non-unit clause-clause subsumptions : 359
% 1.09/0.72 % Unit Clause-clause subsumption calls : 673
% 1.09/0.72 % Rewrite failures with RHS unbound : 16
% 1.09/0.72 % BW rewrite match attempts : 11
% 1.09/0.72 % BW rewrite match successes : 11
% 1.09/0.72 % Condensation attempts : 0
% 1.09/0.72 % Condensation successes : 0
% 1.09/0.72 % Termbank termtop insertions : 29345
% 1.09/0.72 % Search garbage collected termcells : 1863
% 1.09/0.72
% 1.09/0.72 % -------------------------------------------------
% 1.09/0.72 % User time : 0.133 s
% 1.09/0.72 % System time : 0.007 s
% 1.09/0.72 % Total time : 0.140 s
% 1.09/0.72 % Maximum resident set size: 4268 pages
% 1.09/0.72
% 1.09/0.72 % -------------------------------------------------
% 1.09/0.72 % User time : 0.139 s
% 1.09/0.72 % System time : 0.015 s
% 1.09/0.72 % Total time : 0.154 s
% 1.09/0.72 % Maximum resident set size: 4864 pages
% 1.09/0.72 % E exiting
%------------------------------------------------------------------------------