%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP028+2 : 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 : n016.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 12.07s 2.95s
% Output : CNFRefutation 12.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 323 ( 24 equ)
% Maximal formula atoms : 194 ( 11 avg)
% Number of connectives : 499 ( 205 ~; 208 |; 61 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-4 aty)
% Number of variables : 56 ( 3 sgn 39 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',t10_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(d1_xboole_0,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d1_xboole_0) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+406.ax',d8_tsp_1) ).
fof(t4_subset_1,axiom,
! [X1] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',t4_subset_1) ).
fof(c_0_5,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]) ).
fof(c_0_6,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_5]) ).
fof(c_0_7,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_8,plain,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_9,negated_conjecture,
! [X11] :
( ( ~ v1_tsp_2(X11,esk1_0)
| ~ m1_subset_1(X11,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_6])])])])]) ).
fof(c_0_10,plain,
! [X46,X47] :
( ( ~ l1_pre_topc(X46)
| ~ v2_pre_topc(X46)
| v3_struct_0(X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
| ~ v1_tsp_1(X47,X46)
| v1_tsp_2(esk5_2(X46,X47),X46) )
& ( ~ l1_pre_topc(X46)
| ~ v2_pre_topc(X46)
| v3_struct_0(X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
| ~ v1_tsp_1(X47,X46)
| r1_tarski(X47,esk5_2(X46,X47)) )
& ( ~ l1_pre_topc(X46)
| ~ v2_pre_topc(X46)
| v3_struct_0(X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
| ~ v1_tsp_1(X47,X46)
| m1_subset_1(esk5_2(X46,X47),k1_zfmisc_1(u1_struct_0(X46))) ) ),
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_7])])])])])]) ).
fof(c_0_11,plain,
! [X1688,X1689,X1690] :
( ( X1690 = k1_xboole_0
| r2_hidden(esk227_1(X1690),X1690) )
& ( ~ r2_hidden(X1689,X1688)
| X1688 != k1_xboole_0 ) ),
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)],[c_0_8])])])])])]) ).
fof(c_0_12,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_13,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_9]) ).
cnf(c_0_14,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(esk5_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( ~ r2_hidden(X2,X1)
| X1 != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_19,plain,
! [X126,X127,X128,X129,X134,X135] :
( ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| v1_tsp_1(X127,X126)
| ~ r2_hidden(esk15_2(X126,X127),X135)
| r2_hidden(esk14_2(X126,X127),X135)
| ~ v3_pre_topc(X135,X126)
| ~ m1_subset_1(X135,k1_zfmisc_1(u1_struct_0(X126))) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| v1_tsp_1(X127,X126)
| r2_hidden(esk15_2(X126,X127),X134)
| ~ r2_hidden(esk14_2(X126,X127),X134)
| ~ v3_pre_topc(X134,X126)
| ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(X126))) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| v1_tsp_1(X127,X126)
| esk14_2(X126,X127) != esk15_2(X126,X127) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| v1_tsp_1(X127,X126)
| r2_hidden(esk15_2(X126,X127),X127) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| v1_tsp_1(X127,X126)
| r2_hidden(esk14_2(X126,X127),X127) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| v1_tsp_1(X127,X126)
| m1_subset_1(esk15_2(X126,X127),u1_struct_0(X126)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| v1_tsp_1(X127,X126)
| m1_subset_1(esk14_2(X126,X127),u1_struct_0(X126)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
| r2_hidden(X129,esk13_4(X126,X127,X128,X129)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
| v3_pre_topc(esk13_4(X126,X127,X128,X129),X126) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
| m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126))) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| r2_hidden(X128,esk12_4(X126,X127,X128,X129))
| r2_hidden(X129,esk13_4(X126,X127,X128,X129)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| r2_hidden(X128,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| r2_hidden(X128,esk12_4(X126,X127,X128,X129))
| v3_pre_topc(esk13_4(X126,X127,X128,X129),X126) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| r2_hidden(X128,esk12_4(X126,X127,X128,X129))
| m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126))) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
| r2_hidden(X129,esk13_4(X126,X127,X128,X129)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
| ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
| v3_pre_topc(esk13_4(X126,X127,X128,X129),X126) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
| m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126))) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| r2_hidden(X129,esk13_4(X126,X127,X128,X129)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129)) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| v3_pre_topc(esk13_4(X126,X127,X128,X129),X126) )
& ( ~ l1_pre_topc(X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ m1_subset_1(X129,u1_struct_0(X126))
| X128 = X129
| ~ r2_hidden(X129,X127)
| ~ r2_hidden(X128,X127)
| m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126))) ) ),
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_12])])])])])]) ).
fof(c_0_20,plain,
! [X1712] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1712)),
inference(variable_rename,[status(thm)],[t4_subset_1]) ).
cnf(c_0_21,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(esk5_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_13,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_22,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(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_tsp_1(X2,X1)
| r2_hidden(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,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_21,c_0_22]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_27,plain,
( ~ l1_pre_topc(X1)
| v1_tsp_1(k1_xboole_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_25]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP028+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.79 % Computer : n016.cluster.edu
% 0.14/0.79 % Model : x86_64 x86_64
% 0.14/0.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.79 % Memory : 8046.5625MB
% 0.14/0.79 % OS : Linux 6.8.0-71-generic
% 0.14/0.79 % CPULimit : 300
% 0.14/0.79 % WCLimit : 300
% 0.14/0.79 % DateTime : Mon Sep 21 12:45:41 UTC 2026
% 0.14/0.79 % CPUTime :
% 0.14/0.79 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.84 Running first-order theorem proving
% 0.16/0.84 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
% 12.07/2.95 % Version: 3.5.1
% 12.07/2.95 % Preprocessing class: FMLMSMSLSSSNFFN.
% 12.07/2.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.07/2.95 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 12.07/2.95 % Starting new_bool_3 with 600s (2) cores
% 12.07/2.95 % Starting new_bool_1 with 600s (2) cores
% 12.07/2.95 % Starting sh5l with 300s (1) cores
% 12.07/2.95 % new_bool_3 with pid 2430354 completed with status 0
% 12.07/2.95 % Result found by new_bool_3
% 12.07/2.95 % Preprocessing class: FMLMSMSLSSSNFFN.
% 12.07/2.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.07/2.95 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 12.07/2.95 % Starting new_bool_3 with 600s (2) cores
% 12.07/2.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 12.07/2.95 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.07/2.95 % Search class: FGHSM-SMLM31-MFFFFFNN
% 12.07/2.95 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 12.07/2.95 % Starting SubtermCWHack with 61s (1) cores
% 12.07/2.95 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 361s (1) cores
% 12.07/2.95 % C07_19_nc_SAT001_MinMin_p005000_rr with pid 2430381 completed with status 0
% 12.07/2.95 % Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 12.07/2.95 % Preprocessing class: FMLMSMSLSSSNFFN.
% 12.07/2.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.07/2.95 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 12.07/2.95 % Starting new_bool_3 with 600s (2) cores
% 12.07/2.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 12.07/2.95 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.07/2.95 % Search class: FGHSM-SMLM31-MFFFFFNN
% 12.07/2.95 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 12.07/2.95 % Starting SubtermCWHack with 61s (1) cores
% 12.07/2.95 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 361s (1) cores
% 12.07/2.95 % Preprocessing time : 0.046 s
% 12.07/2.95 % Presaturation interreduction done
% 12.07/2.95
% 12.07/2.95 % Proof found!
% 12.07/2.95 % SZS status Theorem
% 12.07/2.95 % SZS output start CNFRefutation
% See solution above
% 12.07/2.95 % Parsed axioms : 3592
% 12.07/2.95 % Removed by relevancy pruning/SinE : 2688
% 12.07/2.95 % Initial clauses : 2299
% 12.07/2.95 % Removed in clause preprocessing : 90
% 12.07/2.95 % Initial clauses in saturation : 2209
% 12.07/2.95 % Processed clauses : 11849
% 12.07/2.95 % ...of these trivial : 56
% 12.07/2.95 % ...subsumed : 7324
% 12.07/2.95 % ...remaining for further processing : 4469
% 12.07/2.95 % Other redundant clauses eliminated : 263
% 12.07/2.95 % Clauses deleted for lack of memory : 0
% 12.07/2.95 % Backward-subsumed : 27
% 12.07/2.95 % Backward-rewritten : 60
% 12.07/2.95 % Generated clauses : 26231
% 12.07/2.95 % ...of the previous two non-redundant : 22865
% 12.07/2.95 % ...aggressively subsumed : 0
% 12.07/2.95 % Contextual simplify-reflections : 356
% 12.07/2.95 % Paramodulations : 25963
% 12.07/2.95 % Factorizations : 1
% 12.07/2.95 % NegExts : 0
% 12.07/2.95 % Equation resolutions : 272
% 12.07/2.95 % Disequality decompositions : 0
% 12.07/2.95 % Total rewrite steps : 5217
% 12.07/2.95 % ...of those cached : 4530
% 12.07/2.95 % Propositional unsat checks : 0
% 12.07/2.95 % Propositional check models : 0
% 12.07/2.95 % Propositional check unsatisfiable : 0
% 12.07/2.95 % Propositional clauses : 0
% 12.07/2.95 % Propositional clauses after purity: 0
% 12.07/2.95 % Propositional unsat core size : 0
% 12.07/2.95 % Propositional preprocessing time : 0.000
% 12.07/2.95 % Propositional encoding time : 0.000
% 12.07/2.95 % Propositional solver time : 0.000
% 12.07/2.95 % Success case prop preproc time : 0.000
% 12.07/2.95 % Success case prop encoding time : 0.000
% 12.07/2.95 % Success case prop solver time : 0.000
% 12.07/2.95 % Current number of processed clauses : 2249
% 12.07/2.95 % Positive orientable unit clauses : 193
% 12.07/2.95 % Positive unorientable unit clauses: 1
% 12.07/2.95 % Negative unit clauses : 388
% 12.07/2.95 % Non-unit-clauses : 1667
% 12.07/2.95 % Current number of unprocessed clauses: 15140
% 12.07/2.95 % ...number of literals in the above : 50872
% 12.07/2.95 % Current number of archived formulas : 0
% 12.07/2.95 % Current number of archived clauses : 2079
% 12.07/2.95 % Clause-clause subsumption calls (NU) : 3498334
% 12.07/2.95 % Rec. Clause-clause subsumption calls : 370856
% 12.07/2.95 % Non-unit clause-clause subsumptions : 3203
% 12.07/2.95 % Unit Clause-clause subsumption calls : 17443
% 12.07/2.95 % Rewrite failures with RHS unbound : 0
% 12.07/2.95 % BW rewrite match attempts : 206
% 12.07/2.95 % BW rewrite match successes : 90
% 12.07/2.95 % Condensation attempts : 0
% 12.07/2.95 % Condensation successes : 0
% 12.07/2.95 % Termbank termtop insertions : 566182
% 12.07/2.95 % Search garbage collected termcells : 65545
% 12.07/2.95
% 12.07/2.95 % -------------------------------------------------
% 12.07/2.95 % User time : 1.864 s
% 12.07/2.95 % System time : 0.052 s
% 12.07/2.95 % Total time : 1.916 s
% 12.07/2.95 % Maximum resident set size: 14276 pages
% 12.07/2.95
% 12.07/2.95 % -------------------------------------------------
% 12.07/2.95 % User time : 3.763 s
% 12.07/2.95 % System time : 0.122 s
% 12.07/2.95 % Total time : 3.885 s
% 12.07/2.95 % Maximum resident set size: 8960 pages
% 12.07/2.95 % E exiting
%------------------------------------------------------------------------------