%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP029+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 : n017.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 03:53:53 PM UTC 2026
% Result : Theorem 9.27s 1.60s
% Output : CNFRefutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 21 unt; 0 def)
% Number of atoms : 363 ( 11 equ)
% Maximal formula atoms : 35 ( 5 avg)
% Number of connectives : 481 ( 185 ~; 181 |; 71 &)
% ( 4 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 58 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_tsp_2,conjecture,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_t_0topsp(X2)
& ~ v3_struct_0(X2) )
=> ? [X3] :
( v2_tsp_2(X3,X1)
& m2_tsp_1(X2,X3)
& m2_tsp_1(X3,X1)
& v1_pre_topc(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_tsp_2) ).
fof(t15_tsp_1,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = u1_struct_0(X2)
=> ( v1_tsp_1(X3,X1)
<=> v2_t_0topsp(X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_tsp_1) ).
fof(l19_tsp_2,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l19_tsp_2) ).
fof(t12_tsp_2,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ~ ( ! [X3] :
( ( m2_tsp_1(X3,X1)
& v1_pre_topc(X3)
& ~ v3_struct_0(X3) )
=> ~ ( X2 = u1_struct_0(X3)
& v2_tsp_2(X3,X1) ) )
& v1_tsp_2(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_tsp_2) ).
fof(t4_tsp_2,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_xboole_0(X2) )
=> ~ v1_tsp_2(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_tsp_2) ).
fof(t9_tsp_2,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_2(X3,X1)
& r1_tarski(X2,X3) ) )
& v1_tsp_1(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_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(t4_tsep_1,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1) )
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> ! [X3] :
( m1_pre_topc(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
<=> m1_pre_topc(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_tsep_1) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_t_0topsp(X2)
& ~ v3_struct_0(X2) )
=> ? [X3] :
( v2_tsp_2(X3,X1)
& m2_tsp_1(X2,X3)
& m2_tsp_1(X3,X1)
& v1_pre_topc(X3) ) ) ),
inference(assume_negation,[status(cth)],[t13_tsp_2]) ).
fof(c_0_10,plain,
! [X1] :
( ( l1_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = u1_struct_0(X2)
=> ( v1_tsp_1(X3,X1)
<=> v2_t_0topsp(X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_tsp_1]) ).
fof(c_0_11,plain,
! [X1] :
( ( l1_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[l19_tsp_2]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_t_0topsp(X2)
& ~ v3_struct_0(X2) )
=> ? [X3] :
( v2_tsp_2(X3,X1)
& m2_tsp_1(X2,X3)
& m2_tsp_1(X3,X1)
& v1_pre_topc(X3) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X160,X161,X162] :
( ( ~ l1_pre_topc(X160)
| v3_struct_0(X160)
| ~ m2_tsp_1(X161,X160)
| v3_struct_0(X161)
| ~ m1_subset_1(X162,k1_zfmisc_1(u1_struct_0(X160)))
| X162 != u1_struct_0(X161)
| v1_tsp_1(X162,X160)
| ~ v2_t_0topsp(X161) )
& ( ~ l1_pre_topc(X160)
| v3_struct_0(X160)
| ~ m2_tsp_1(X161,X160)
| v3_struct_0(X161)
| ~ m1_subset_1(X162,k1_zfmisc_1(u1_struct_0(X160)))
| X162 != u1_struct_0(X161)
| v2_t_0topsp(X161)
| ~ v1_tsp_1(X162,X160) ) ),
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])])])])]) ).
fof(c_0_14,plain,
! [X108,X109] :
( m1_subset_1(u1_struct_0(X109),k1_zfmisc_1(u1_struct_0(X108)))
| ~ m2_tsp_1(X109,X108)
| ~ l1_pre_topc(X108)
| v3_struct_0(X108) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_15,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ~ ( ! [X3] :
( ( m2_tsp_1(X3,X1)
& v1_pre_topc(X3)
& ~ v3_struct_0(X3) )
=> ~ ( X2 = u1_struct_0(X3)
& v2_tsp_2(X3,X1) ) )
& v1_tsp_2(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t12_tsp_2]) ).
fof(c_0_16,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_xboole_0(X2) )
=> ~ v1_tsp_2(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[t4_tsp_2]) ).
fof(c_0_17,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_2(X3,X1)
& r1_tarski(X2,X3) ) )
& v1_tsp_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t9_tsp_2]) ).
fof(c_0_18,negated_conjecture,
! [X7] :
( ( ~ v2_tsp_2(X7,esk1_0)
| ~ m2_tsp_1(esk2_0,X7)
| ~ m2_tsp_1(X7,esk1_0)
| ~ v1_pre_topc(X7) )
& m2_tsp_1(esk2_0,esk1_0)
& v2_t_0topsp(esk2_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(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
cnf(c_0_19,plain,
( ~ l1_pre_topc(X3)
| ~ m2_tsp_1(X1,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
| X2 != u1_struct_0(X1)
| ~ v2_t_0topsp(X1)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v1_tsp_1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( ~ m2_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X157,X158] :
( ( ~ l1_pre_topc(X157)
| ~ v2_pre_topc(X157)
| v3_struct_0(X157)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v1_xboole_0(X158)
| ~ v1_tsp_2(X158,X157)
| X158 = u1_struct_0(esk34_2(X157,X158)) )
& ( ~ l1_pre_topc(X157)
| ~ v2_pre_topc(X157)
| v3_struct_0(X157)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v1_xboole_0(X158)
| ~ v1_tsp_2(X158,X157)
| v2_tsp_2(esk34_2(X157,X158),X157) )
& ( ~ l1_pre_topc(X157)
| ~ v2_pre_topc(X157)
| v3_struct_0(X157)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v1_xboole_0(X158)
| ~ v1_tsp_2(X158,X157)
| m2_tsp_1(esk34_2(X157,X158),X157) )
& ( ~ l1_pre_topc(X157)
| ~ v2_pre_topc(X157)
| v3_struct_0(X157)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v1_xboole_0(X158)
| ~ v1_tsp_2(X158,X157)
| v1_pre_topc(esk34_2(X157,X158)) )
& ( ~ l1_pre_topc(X157)
| ~ v2_pre_topc(X157)
| v3_struct_0(X157)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v1_xboole_0(X158)
| ~ v1_tsp_2(X158,X157)
| ~ v3_struct_0(esk34_2(X157,X158)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])]) ).
fof(c_0_22,plain,
! [X175,X176] :
( ~ v1_tsp_2(X176,X175)
| ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
| ~ v1_xboole_0(X176)
| ~ l1_pre_topc(X175)
| ~ v2_pre_topc(X175)
| v3_struct_0(X175) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_23,plain,
! [X185,X186] :
( ( ~ l1_pre_topc(X185)
| ~ v2_pre_topc(X185)
| v3_struct_0(X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| ~ v1_tsp_1(X186,X185)
| v1_tsp_2(esk35_2(X185,X186),X185) )
& ( ~ l1_pre_topc(X185)
| ~ v2_pre_topc(X185)
| v3_struct_0(X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| ~ v1_tsp_1(X186,X185)
| r1_tarski(X186,esk35_2(X185,X186)) )
& ( ~ l1_pre_topc(X185)
| ~ v2_pre_topc(X185)
| v3_struct_0(X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| ~ v1_tsp_1(X186,X185)
| m1_subset_1(esk35_2(X185,X186),k1_zfmisc_1(u1_struct_0(X185))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).
cnf(c_0_24,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( ~ l1_pre_topc(X2)
| ~ v2_t_0topsp(X1)
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v1_tsp_1(u1_struct_0(X1),X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_19]),c_0_20]) ).
cnf(c_0_28,negated_conjecture,
v2_t_0topsp(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_tsp_1(esk34_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X1)
| v3_struct_0(X1)
| m1_subset_1(esk35_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_34,negated_conjecture,
v1_tsp_1(u1_struct_0(esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_28]),c_0_25])]),c_0_26]),c_0_29]) ).
cnf(c_0_35,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X1)
| v3_struct_0(X1)
| v1_tsp_2(esk35_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_37,plain,
! [X154,X155] :
( ( ~ l1_pre_topc(X154)
| m2_tsp_1(X155,X154)
| ~ m1_pre_topc(X155,X154) )
& ( ~ l1_pre_topc(X154)
| m1_pre_topc(X155,X154)
| ~ m2_tsp_1(X155,X154) ) ),
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])])])])]) ).
cnf(c_0_38,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| v3_struct_0(X1)
| m2_tsp_1(esk34_2(X1,X2),X1) ),
inference(csr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk35_2(esk1_0,u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
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_32,c_0_33]),c_0_34]),c_0_25]),c_0_35])]),c_0_26]) ).
cnf(c_0_40,negated_conjecture,
v1_tsp_2(esk35_2(esk1_0,u1_struct_0(esk2_0)),esk1_0),
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_36,c_0_33]),c_0_34]),c_0_25]),c_0_35])]),c_0_26]) ).
cnf(c_0_41,plain,
( ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| X1 = u1_struct_0(esk34_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_42,plain,
! [X172,X173,X174] :
( ( ~ l1_pre_topc(X172)
| ~ v2_pre_topc(X172)
| ~ m1_pre_topc(X173,X172)
| ~ m1_pre_topc(X174,X172)
| r1_tarski(u1_struct_0(X173),u1_struct_0(X174))
| ~ m1_pre_topc(X173,X174) )
& ( ~ l1_pre_topc(X172)
| ~ v2_pre_topc(X172)
| ~ m1_pre_topc(X173,X172)
| ~ m1_pre_topc(X174,X172)
| m1_pre_topc(X173,X174)
| ~ r1_tarski(u1_struct_0(X173),u1_struct_0(X174)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_tsep_1])])])])]) ).
cnf(c_0_43,plain,
( ~ l1_pre_topc(X2)
| ~ m2_tsp_1(X1,X2)
| m1_pre_topc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
m2_tsp_1(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0))),esk1_0),
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_38,c_0_39]),c_0_40]),c_0_25]),c_0_35])]),c_0_26]) ).
cnf(c_0_45,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| v3_struct_0(X1)
| u1_struct_0(esk34_2(X1,X2)) = X2 ),
inference(csr,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_46,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_pre_topc(esk34_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_47,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v2_tsp_2(esk34_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_48,plain,
( ~ l1_pre_topc(X3)
| ~ v2_pre_topc(X3)
| ~ m1_pre_topc(X1,X3)
| ~ m1_pre_topc(X2,X3)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| m1_pre_topc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
m1_pre_topc(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0))),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_25])]) ).
cnf(c_0_50,negated_conjecture,
u1_struct_0(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))) = esk35_2(esk1_0,u1_struct_0(esk2_0)),
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_45,c_0_39]),c_0_40]),c_0_25]),c_0_35])]),c_0_26]) ).
cnf(c_0_51,plain,
( ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_1(X1,X2)
| v3_struct_0(X2)
| r1_tarski(X1,esk35_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_52,plain,
! [X91,X92] :
( l1_pre_topc(X92)
| ~ m2_tsp_1(X92,X91)
| ~ l1_pre_topc(X91) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])])]) ).
cnf(c_0_53,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| v3_struct_0(X1)
| v1_pre_topc(esk34_2(X1,X2)) ),
inference(csr,[status(thm)],[c_0_46,c_0_31]) ).
cnf(c_0_54,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| v3_struct_0(X1)
| v2_tsp_2(esk34_2(X1,X2),X1) ),
inference(csr,[status(thm)],[c_0_47,c_0_31]) ).
cnf(c_0_55,negated_conjecture,
( ~ m1_pre_topc(X1,esk1_0)
| ~ r1_tarski(u1_struct_0(X1),esk35_2(esk1_0,u1_struct_0(esk2_0)))
| m1_pre_topc(X1,esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_25]),c_0_35])]),c_0_50]) ).
cnf(c_0_56,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_24]),c_0_25])]) ).
cnf(c_0_57,negated_conjecture,
r1_tarski(u1_struct_0(esk2_0),esk35_2(esk1_0,u1_struct_0(esk2_0))),
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_51,c_0_33]),c_0_34]),c_0_25]),c_0_35])]),c_0_26]) ).
cnf(c_0_58,plain,
( ~ m2_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( ~ v2_tsp_2(X1,esk1_0)
| ~ m2_tsp_1(esk2_0,X1)
| ~ m2_tsp_1(X1,esk1_0)
| ~ v1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_60,negated_conjecture,
v1_pre_topc(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))),
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_53,c_0_39]),c_0_40]),c_0_25]),c_0_35])]),c_0_26]) ).
cnf(c_0_61,negated_conjecture,
v2_tsp_2(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0))),esk1_0),
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_54,c_0_39]),c_0_40]),c_0_25]),c_0_35])]),c_0_26]) ).
cnf(c_0_62,plain,
( ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| m2_tsp_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_63,negated_conjecture,
m1_pre_topc(esk2_0,esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_64,negated_conjecture,
l1_pre_topc(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_44]),c_0_25])]) ).
cnf(c_0_65,negated_conjecture,
~ m2_tsp_1(esk2_0,esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_60])]),c_0_61])]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]),c_0_65]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP029+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n017.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 12:35:57 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 9.27/1.60 % Version: 3.5.1
% 9.27/1.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 9.27/1.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.27/1.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.27/1.60 % Starting new_bool_3 with 300s (1) cores
% 9.27/1.60 % Starting new_bool_1 with 300s (1) cores
% 9.27/1.60 % Starting sh5l with 300s (1) cores
% 9.27/1.60 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2324032 completed with status 0
% 9.27/1.60 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.27/1.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 9.27/1.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.27/1.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.27/1.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.27/1.60 % No SInE strategy applied
% 9.27/1.60 % Search class: FGHSM-FSLM21-MFFFFFNN
% 9.27/1.60 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 9.27/1.60 % Starting SubtermCWHack with 136s (1) cores
% 9.27/1.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 9.27/1.60 % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 9.27/1.60 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 9.27/1.60 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 9.27/1.60 % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 2324050 completed with status 0
% 9.27/1.60 % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 9.27/1.60 % Preprocessing class: FSLSSMSSSSSNFFN.
% 9.27/1.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.27/1.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.27/1.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.27/1.60 % No SInE strategy applied
% 9.27/1.60 % Search class: FGHSM-FSLM21-MFFFFFNN
% 9.27/1.60 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 9.27/1.60 % Starting SubtermCWHack with 136s (1) cores
% 9.27/1.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 9.27/1.60 % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 9.27/1.60 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 9.27/1.60 % Preprocessing time : 0.004 s
% 9.27/1.60
% 9.27/1.60 % Proof found!
% 9.27/1.60 % SZS status Theorem
% 9.27/1.60 % SZS output start CNFRefutation
% See solution above
% 9.27/1.60 % Parsed axioms : 109
% 9.27/1.60 % Removed by relevancy pruning/SinE : 0
% 9.27/1.60 % Initial clauses : 298
% 9.27/1.60 % Removed in clause preprocessing : 39
% 9.27/1.60 % Initial clauses in saturation : 259
% 9.27/1.60 % Processed clauses : 7966
% 9.27/1.60 % ...of these trivial : 14
% 9.27/1.60 % ...subsumed : 4743
% 9.27/1.60 % ...remaining for further processing : 3209
% 9.27/1.60 % Other redundant clauses eliminated : 14
% 9.27/1.60 % Clauses deleted for lack of memory : 0
% 9.27/1.60 % Backward-subsumed : 667
% 9.27/1.60 % Backward-rewritten : 10
% 9.27/1.60 % Generated clauses : 29289
% 9.27/1.60 % ...of the previous two non-redundant : 28739
% 9.27/1.60 % ...aggressively subsumed : 0
% 9.27/1.60 % Contextual simplify-reflections : 174
% 9.27/1.60 % Paramodulations : 29271
% 9.27/1.60 % Factorizations : 0
% 9.27/1.60 % NegExts : 0
% 9.27/1.60 % Equation resolutions : 16
% 9.27/1.60 % Disequality decompositions : 0
% 9.27/1.60 % Total rewrite steps : 4202
% 9.27/1.60 % ...of those cached : 4057
% 9.27/1.60 % Propositional unsat checks : 0
% 9.27/1.60 % Propositional check models : 0
% 9.27/1.60 % Propositional check unsatisfiable : 0
% 9.27/1.60 % Propositional clauses : 0
% 9.27/1.60 % Propositional clauses after purity: 0
% 9.27/1.60 % Propositional unsat core size : 0
% 9.27/1.60 % Propositional preprocessing time : 0.000
% 9.27/1.60 % Propositional encoding time : 0.000
% 9.27/1.60 % Propositional solver time : 0.000
% 9.27/1.60 % Success case prop preproc time : 0.000
% 9.27/1.60 % Success case prop encoding time : 0.000
% 9.27/1.60 % Success case prop solver time : 0.000
% 9.27/1.60 % Current number of processed clauses : 2528
% 9.27/1.60 % Positive orientable unit clauses : 151
% 9.27/1.60 % Positive unorientable unit clauses: 0
% 9.27/1.60 % Negative unit clauses : 47
% 9.27/1.60 % Non-unit-clauses : 2330
% 9.27/1.60 % Current number of unprocessed clauses: 20542
% 9.27/1.60 % ...number of literals in the above : 104007
% 9.27/1.60 % Current number of archived formulas : 0
% 9.27/1.60 % Current number of archived clauses : 679
% 9.27/1.60 % Clause-clause subsumption calls (NU) : 1024954
% 9.27/1.60 % Rec. Clause-clause subsumption calls : 340768
% 9.27/1.60 % Non-unit clause-clause subsumptions : 3863
% 9.27/1.60 % Unit Clause-clause subsumption calls : 12330
% 9.27/1.60 % Rewrite failures with RHS unbound : 0
% 9.27/1.60 % BW rewrite match attempts : 45
% 9.27/1.60 % BW rewrite match successes : 6
% 9.27/1.60 % Condensation attempts : 0
% 9.27/1.60 % Condensation successes : 0
% 9.27/1.60 % Termbank termtop insertions : 459132
% 9.27/1.60 % Search garbage collected termcells : 3468
% 9.27/1.60
% 9.27/1.60 % -------------------------------------------------
% 9.27/1.60 % User time : 1.017 s
% 9.27/1.60 % System time : 0.031 s
% 9.27/1.60 % Total time : 1.048 s
% 9.27/1.60 % Maximum resident set size: 4520 pages
% 9.27/1.60
% 9.27/1.60 % -------------------------------------------------
% 9.27/1.60 % User time : 5.446 s
% 9.27/1.60 % System time : 0.142 s
% 9.27/1.60 % Total time : 5.589 s
% 9.27/1.60 % Maximum resident set size: 4864 pages
% 9.27/1.60 % E exiting
%------------------------------------------------------------------------------