%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : TOP028+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 03:54:15 PM UTC 2026
% Result : Theorem 70.01s 17.60s
% Output : CNFRefutation 70.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 13 unt; 0 def)
% Number of atoms : 367 ( 25 equ)
% Maximal formula atoms : 194 ( 7 avg)
% Number of connectives : 545 ( 226 ~; 223 |; 71 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-4 aty)
% Number of variables : 91 ( 10 sgn 56 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& X1 != X2
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t8_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( v1_xboole_0(X3)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(t10_tsp_2,conjecture,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( v1_tsp_2(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d3_tarski) ).
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/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(t7_ordinal1,axiom,
! [X1,X2] :
~ ( r1_tarski(X2,X1)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t7_ordinal1) ).
fof(d8_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ~ ( ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r2_hidden(X4,X5)
& ~ r2_hidden(X3,X5)
& v3_pre_topc(X5,X1) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( ~ r2_hidden(X4,X5)
& r2_hidden(X3,X5)
& v3_pre_topc(X5,X1) ) )
& X3 != X4
& r2_hidden(X4,X2)
& r2_hidden(X3,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+406.ax',d8_tsp_1) ).
fof(c_0_9,plain,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& X1 != X2
& v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[t8_boole]) ).
fof(c_0_10,plain,
! [X737,X738] :
( ~ v1_xboole_0(X738)
| X737 = X738
| ~ v1_xboole_0(X737) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_11,plain,
v1_xboole_0(esk87_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(c_0_12,plain,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
v1_xboole_0(esk87_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X90] :
( v1_xboole_0(esk6_1(X90))
& m1_subset_1(esk6_1(X90),k1_zfmisc_1(X90)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_15,plain,
( ~ v1_xboole_0(X1)
| X1 = esk87_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
v1_xboole_0(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X115,X116,X117] :
( ~ v1_xboole_0(X117)
| ~ m1_subset_1(X116,k1_zfmisc_1(X117))
| ~ r2_hidden(X115,X116) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
cnf(c_0_18,plain,
m1_subset_1(esk6_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
esk6_1(X1) = esk87_0,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( v1_tsp_2(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(assume_negation,[status(cth)],[t10_tsp_2]) ).
cnf(c_0_21,plain,
( ~ v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
m1_subset_1(esk87_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_23,plain,
! [X122,X123,X124,X125,X126] :
( ( r1_tarski(X125,X126)
| ~ r2_hidden(esk13_2(X125,X126),X126) )
& ( r1_tarski(X125,X126)
| r2_hidden(esk13_2(X125,X126),X125) )
& ( r2_hidden(X124,X123)
| ~ r2_hidden(X124,X122)
| ~ r1_tarski(X122,X123) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
fof(c_0_24,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( v1_tsp_2(X2,X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_25,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]) ).
cnf(c_0_26,plain,
( ~ r2_hidden(X2,esk87_0)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk13_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,negated_conjecture,
! [X53] :
( ( ~ v1_tsp_2(X53,esk1_0)
| ~ m1_subset_1(X53,k1_zfmisc_1(u1_struct_0(esk1_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_24])])])])]) ).
fof(c_0_29,plain,
! [X82,X83] :
( ( ~ l1_pre_topc(X82)
| ~ v2_pre_topc(X82)
| v3_struct_0(X82)
| ~ m1_subset_1(X83,k1_zfmisc_1(u1_struct_0(X82)))
| ~ v1_tsp_1(X83,X82)
| v1_tsp_2(esk3_2(X82,X83),X82) )
& ( ~ l1_pre_topc(X82)
| ~ v2_pre_topc(X82)
| v3_struct_0(X82)
| ~ m1_subset_1(X83,k1_zfmisc_1(u1_struct_0(X82)))
| ~ v1_tsp_1(X83,X82)
| r1_tarski(X83,esk3_2(X82,X83)) )
& ( ~ l1_pre_topc(X82)
| ~ v2_pre_topc(X82)
| v3_struct_0(X82)
| ~ m1_subset_1(X83,k1_zfmisc_1(u1_struct_0(X82)))
| ~ v1_tsp_1(X83,X82)
| m1_subset_1(esk3_2(X82,X83),k1_zfmisc_1(u1_struct_0(X82))) ) ),
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_25])])])])])]) ).
fof(c_0_30,plain,
! [X157,X158] :
( ~ r1_tarski(X158,X157)
| ~ r2_hidden(X157,X158) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_ordinal1])])]) ).
cnf(c_0_31,plain,
( ~ v1_xboole_0(X2)
| r1_tarski(esk87_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,plain,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ~ ( ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r2_hidden(X4,X5)
& ~ r2_hidden(X3,X5)
& v3_pre_topc(X5,X1) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( ~ r2_hidden(X4,X5)
& r2_hidden(X3,X5)
& v3_pre_topc(X5,X1) ) )
& X3 != X4
& r2_hidden(X4,X2)
& r2_hidden(X3,X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_tsp_1]) ).
cnf(c_0_33,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,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(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
r1_tarski(esk87_0,X1),
inference(spm,[status(thm)],[c_0_31,c_0_13]) ).
fof(c_0_40,plain,
! [X193,X194,X195,X196,X201,X202] :
( ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| v1_tsp_1(X194,X193)
| ~ r2_hidden(esk20_2(X193,X194),X202)
| r2_hidden(esk19_2(X193,X194),X202)
| ~ v3_pre_topc(X202,X193)
| ~ m1_subset_1(X202,k1_zfmisc_1(u1_struct_0(X193))) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| v1_tsp_1(X194,X193)
| r2_hidden(esk20_2(X193,X194),X201)
| ~ r2_hidden(esk19_2(X193,X194),X201)
| ~ v3_pre_topc(X201,X193)
| ~ m1_subset_1(X201,k1_zfmisc_1(u1_struct_0(X193))) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| v1_tsp_1(X194,X193)
| esk19_2(X193,X194) != esk20_2(X193,X194) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| v1_tsp_1(X194,X193)
| r2_hidden(esk20_2(X193,X194),X194) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| v1_tsp_1(X194,X193)
| r2_hidden(esk19_2(X193,X194),X194) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| v1_tsp_1(X194,X193)
| m1_subset_1(esk20_2(X193,X194),u1_struct_0(X193)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| v1_tsp_1(X194,X193)
| m1_subset_1(esk19_2(X193,X194),u1_struct_0(X193)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| ~ r2_hidden(X196,esk17_4(X193,X194,X195,X196))
| r2_hidden(X196,esk18_4(X193,X194,X195,X196)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| ~ r2_hidden(X196,esk17_4(X193,X194,X195,X196))
| ~ r2_hidden(X195,esk18_4(X193,X194,X195,X196)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| ~ r2_hidden(X196,esk17_4(X193,X194,X195,X196))
| v3_pre_topc(esk18_4(X193,X194,X195,X196),X193) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| ~ r2_hidden(X196,esk17_4(X193,X194,X195,X196))
| m1_subset_1(esk18_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193))) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| r2_hidden(X195,esk17_4(X193,X194,X195,X196))
| r2_hidden(X196,esk18_4(X193,X194,X195,X196)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| r2_hidden(X195,esk17_4(X193,X194,X195,X196))
| ~ r2_hidden(X195,esk18_4(X193,X194,X195,X196)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| r2_hidden(X195,esk17_4(X193,X194,X195,X196))
| v3_pre_topc(esk18_4(X193,X194,X195,X196),X193) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| r2_hidden(X195,esk17_4(X193,X194,X195,X196))
| m1_subset_1(esk18_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193))) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| v3_pre_topc(esk17_4(X193,X194,X195,X196),X193)
| r2_hidden(X196,esk18_4(X193,X194,X195,X196)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| v3_pre_topc(esk17_4(X193,X194,X195,X196),X193)
| ~ r2_hidden(X195,esk18_4(X193,X194,X195,X196)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| v3_pre_topc(esk17_4(X193,X194,X195,X196),X193)
| v3_pre_topc(esk18_4(X193,X194,X195,X196),X193) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| v3_pre_topc(esk17_4(X193,X194,X195,X196),X193)
| m1_subset_1(esk18_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193))) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| m1_subset_1(esk17_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
| r2_hidden(X196,esk18_4(X193,X194,X195,X196)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| m1_subset_1(esk17_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
| ~ r2_hidden(X195,esk18_4(X193,X194,X195,X196)) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| m1_subset_1(esk17_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
| v3_pre_topc(esk18_4(X193,X194,X195,X196),X193) )
& ( ~ l1_pre_topc(X193)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X193)))
| ~ v1_tsp_1(X194,X193)
| ~ m1_subset_1(X195,u1_struct_0(X193))
| ~ m1_subset_1(X196,u1_struct_0(X193))
| X195 = X196
| ~ r2_hidden(X196,X194)
| ~ r2_hidden(X195,X194)
| m1_subset_1(esk17_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193)))
| m1_subset_1(esk18_4(X193,X194,X195,X196),k1_zfmisc_1(u1_struct_0(X193))) ) ),
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_32])])])])])]) ).
cnf(c_0_41,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk3_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_42,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(esk3_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,plain,
~ r2_hidden(X1,esk87_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_tsp_1(X2,X1)
| r2_hidden(esk19_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_46,plain,
( ~ l1_pre_topc(X1)
| v1_tsp_1(esk87_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_22])]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_22]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : TOP028+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/5.42 % Computer : n006.cluster.edu
% 0.18/5.42 % Model : x86_64 x86_64
% 0.18/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.42 % Memory : 8046.5625MB
% 0.18/5.42 % OS : Linux 6.8.0-71-generic
% 0.18/5.42 % CPULimit : 300
% 0.18/5.42 % WCLimit : 300
% 0.18/5.42 % DateTime : Mon Sep 21 12:41:08 UTC 2026
% 0.18/5.43 % CPUTime :
% 0.18/5.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/5.47 Running first-order theorem proving
% 0.18/5.47 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 70.01/17.60 % Version: 3.5.1
% 70.01/17.60 % Preprocessing class: FMLLMLLLSSSNFFN.
% 70.01/17.60 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 70.01/17.60 % Starting new_bool_3 with 897s (3) cores
% 70.01/17.60 % Starting new_bool_1 with 897s (3) cores
% 70.01/17.60 % Starting sh5l with 299s (1) cores
% 70.01/17.60 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 70.01/17.60 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2853105 completed with status 0
% 70.01/17.60 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 70.01/17.60 % Preprocessing class: FMLLMLLLSSSNFFN.
% 70.01/17.60 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 70.01/17.60 % Starting new_bool_3 with 897s (3) cores
% 70.01/17.60 % Starting new_bool_1 with 897s (3) cores
% 70.01/17.60 % Starting sh5l with 299s (1) cores
% 70.01/17.60 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 70.01/17.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 70.01/17.60 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 70.01/17.60 % Search class: FGHSM-FSLM31-DFFFFFNN
% 70.01/17.60 % Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 70.01/17.60 % Starting SubtermCWHack with 27s (1) cores
% 70.01/17.60 % SubtermCWHack with pid 2853106 completed with status 0
% 70.01/17.60 % Result found by SubtermCWHack
% 70.01/17.60 % Preprocessing class: FMLLMLLLSSSNFFN.
% 70.01/17.60 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 70.01/17.60 % Starting new_bool_3 with 897s (3) cores
% 70.01/17.60 % Starting new_bool_1 with 897s (3) cores
% 70.01/17.60 % Starting sh5l with 299s (1) cores
% 70.01/17.60 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 70.01/17.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 70.01/17.60 % SinE strategy is gf120_h_gu_R02_F100_L20000
% 70.01/17.60 % Search class: FGHSM-FSLM31-DFFFFFNN
% 70.01/17.60 % Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 70.01/17.60 % Starting SubtermCWHack with 27s (1) cores
% 70.01/17.60 % Preprocessing time : 0.045 s
% 70.01/17.60
% 70.01/17.60 % Proof found!
% 70.01/17.60 % SZS status Theorem
% 70.01/17.60 % SZS output start CNFRefutation
% See solution above
% 70.01/17.61 % Parsed axioms : 34391
% 70.01/17.61 % Removed by relevancy pruning/SinE : 34090
% 70.01/17.61 % Initial clauses : 697
% 70.01/17.61 % Removed in clause preprocessing : 22
% 70.01/17.61 % Initial clauses in saturation : 675
% 70.01/17.61 % Processed clauses : 37819
% 70.01/17.61 % ...of these trivial : 243
% 70.01/17.61 % ...subsumed : 30986
% 70.01/17.61 % ...remaining for further processing : 6590
% 70.01/17.61 % Other redundant clauses eliminated : 118
% 70.01/17.61 % Clauses deleted for lack of memory : 0
% 70.01/17.61 % Backward-subsumed : 209
% 70.01/17.61 % Backward-rewritten : 108
% 70.01/17.61 % Generated clauses : 372746
% 70.01/17.61 % ...of the previous two non-redundant : 339964
% 70.01/17.61 % ...aggressively subsumed : 0
% 70.01/17.61 % Contextual simplify-reflections : 371
% 70.01/17.61 % Paramodulations : 372562
% 70.01/17.61 % Factorizations : 52
% 70.01/17.61 % NegExts : 0
% 70.01/17.61 % Equation resolutions : 132
% 70.01/17.61 % Disequality decompositions : 0
% 70.01/17.61 % Total rewrite steps : 71866
% 70.01/17.61 % ...of those cached : 70112
% 70.01/17.61 % Propositional unsat checks : 0
% 70.01/17.61 % Propositional check models : 0
% 70.01/17.61 % Propositional check unsatisfiable : 0
% 70.01/17.61 % Propositional clauses : 0
% 70.01/17.61 % Propositional clauses after purity: 0
% 70.01/17.61 % Propositional unsat core size : 0
% 70.01/17.61 % Propositional preprocessing time : 0.000
% 70.01/17.61 % Propositional encoding time : 0.000
% 70.01/17.61 % Propositional solver time : 0.000
% 70.01/17.61 % Success case prop preproc time : 0.000
% 70.01/17.61 % Success case prop encoding time : 0.000
% 70.01/17.61 % Success case prop solver time : 0.000
% 70.01/17.61 % Current number of processed clauses : 6217
% 70.01/17.61 % Positive orientable unit clauses : 579
% 70.01/17.61 % Positive unorientable unit clauses: 0
% 70.01/17.61 % Negative unit clauses : 492
% 70.01/17.61 % Non-unit-clauses : 5146
% 70.01/17.61 % Current number of unprocessed clauses: 301648
% 70.01/17.61 % ...number of literals in the above : 1426493
% 70.01/17.61 % Current number of archived formulas : 0
% 70.01/17.61 % Current number of archived clauses : 317
% 70.01/17.61 % Clause-clause subsumption calls (NU) : 9614505
% 70.01/17.61 % Rec. Clause-clause subsumption calls : 3153838
% 70.01/17.61 % Non-unit clause-clause subsumptions : 16937
% 70.01/17.61 % Unit Clause-clause subsumption calls : 309009
% 70.01/17.61 % Rewrite failures with RHS unbound : 0
% 70.01/17.61 % BW rewrite match attempts : 4100
% 70.01/17.61 % BW rewrite match successes : 19
% 70.01/17.61 % Condensation attempts : 0
% 70.01/17.61 % Condensation successes : 0
% 70.01/17.61 % Termbank termtop insertions : 7035491
% 70.01/17.61 % Search garbage collected termcells : 351723
% 70.01/17.61
% 70.01/17.61 % -------------------------------------------------
% 70.01/17.61 % User time : 9.670 s
% 70.01/17.61 % System time : 0.322 s
% 70.01/17.61 % Total time : 9.993 s
% 70.01/17.61 % Maximum resident set size: 69296 pages
% 70.01/17.61
% 70.01/17.61 % -------------------------------------------------
% 70.01/17.61 % User time : 11.417 s
% 70.01/17.61 % System time : 0.428 s
% 70.01/17.61 % Total time : 11.845 s
% 70.01/17.61 % Maximum resident set size: 56832 pages
% 70.01/17.61 % E exiting
%------------------------------------------------------------------------------