%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP028+4 : 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 0.26s 16.61s
% Output : CNFRefutation 0.26s
% 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,
! [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_6])])])])]) ).
fof(c_0_10,plain,
! [X88,X89] :
( ( ~ l1_pre_topc(X88)
| ~ v2_pre_topc(X88)
| v3_struct_0(X88)
| ~ m1_subset_1(X89,k1_zfmisc_1(u1_struct_0(X88)))
| ~ v1_tsp_1(X89,X88)
| v1_tsp_2(esk5_2(X88,X89),X88) )
& ( ~ l1_pre_topc(X88)
| ~ v2_pre_topc(X88)
| v3_struct_0(X88)
| ~ m1_subset_1(X89,k1_zfmisc_1(u1_struct_0(X88)))
| ~ v1_tsp_1(X89,X88)
| r1_tarski(X89,esk5_2(X88,X89)) )
& ( ~ l1_pre_topc(X88)
| ~ v2_pre_topc(X88)
| v3_struct_0(X88)
| ~ m1_subset_1(X89,k1_zfmisc_1(u1_struct_0(X88)))
| ~ v1_tsp_1(X89,X88)
| m1_subset_1(esk5_2(X88,X89),k1_zfmisc_1(u1_struct_0(X88))) ) ),
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,
! [X1096,X1097,X1098] :
( ( X1098 = k1_xboole_0
| r2_hidden(esk116_1(X1098),X1098) )
& ( ~ r2_hidden(X1097,X1096)
| X1096 != 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,
! [X226,X227,X228,X229,X234,X235] :
( ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| v1_tsp_1(X227,X226)
| ~ r2_hidden(esk22_2(X226,X227),X235)
| r2_hidden(esk21_2(X226,X227),X235)
| ~ v3_pre_topc(X235,X226)
| ~ m1_subset_1(X235,k1_zfmisc_1(u1_struct_0(X226))) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| v1_tsp_1(X227,X226)
| r2_hidden(esk22_2(X226,X227),X234)
| ~ r2_hidden(esk21_2(X226,X227),X234)
| ~ v3_pre_topc(X234,X226)
| ~ m1_subset_1(X234,k1_zfmisc_1(u1_struct_0(X226))) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| v1_tsp_1(X227,X226)
| esk21_2(X226,X227) != esk22_2(X226,X227) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| v1_tsp_1(X227,X226)
| r2_hidden(esk22_2(X226,X227),X227) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| v1_tsp_1(X227,X226)
| r2_hidden(esk21_2(X226,X227),X227) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| v1_tsp_1(X227,X226)
| m1_subset_1(esk22_2(X226,X227),u1_struct_0(X226)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| v1_tsp_1(X227,X226)
| m1_subset_1(esk21_2(X226,X227),u1_struct_0(X226)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| ~ r2_hidden(X229,esk19_4(X226,X227,X228,X229))
| r2_hidden(X229,esk20_4(X226,X227,X228,X229)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| ~ r2_hidden(X229,esk19_4(X226,X227,X228,X229))
| ~ r2_hidden(X228,esk20_4(X226,X227,X228,X229)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| ~ r2_hidden(X229,esk19_4(X226,X227,X228,X229))
| v3_pre_topc(esk20_4(X226,X227,X228,X229),X226) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| ~ r2_hidden(X229,esk19_4(X226,X227,X228,X229))
| m1_subset_1(esk20_4(X226,X227,X228,X229),k1_zfmisc_1(u1_struct_0(X226))) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| r2_hidden(X228,esk19_4(X226,X227,X228,X229))
| r2_hidden(X229,esk20_4(X226,X227,X228,X229)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| r2_hidden(X228,esk19_4(X226,X227,X228,X229))
| ~ r2_hidden(X228,esk20_4(X226,X227,X228,X229)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| r2_hidden(X228,esk19_4(X226,X227,X228,X229))
| v3_pre_topc(esk20_4(X226,X227,X228,X229),X226) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| r2_hidden(X228,esk19_4(X226,X227,X228,X229))
| m1_subset_1(esk20_4(X226,X227,X228,X229),k1_zfmisc_1(u1_struct_0(X226))) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| v3_pre_topc(esk19_4(X226,X227,X228,X229),X226)
| r2_hidden(X229,esk20_4(X226,X227,X228,X229)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| v3_pre_topc(esk19_4(X226,X227,X228,X229),X226)
| ~ r2_hidden(X228,esk20_4(X226,X227,X228,X229)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| v3_pre_topc(esk19_4(X226,X227,X228,X229),X226)
| v3_pre_topc(esk20_4(X226,X227,X228,X229),X226) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| v3_pre_topc(esk19_4(X226,X227,X228,X229),X226)
| m1_subset_1(esk20_4(X226,X227,X228,X229),k1_zfmisc_1(u1_struct_0(X226))) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| m1_subset_1(esk19_4(X226,X227,X228,X229),k1_zfmisc_1(u1_struct_0(X226)))
| r2_hidden(X229,esk20_4(X226,X227,X228,X229)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| m1_subset_1(esk19_4(X226,X227,X228,X229),k1_zfmisc_1(u1_struct_0(X226)))
| ~ r2_hidden(X228,esk20_4(X226,X227,X228,X229)) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| m1_subset_1(esk19_4(X226,X227,X228,X229),k1_zfmisc_1(u1_struct_0(X226)))
| v3_pre_topc(esk20_4(X226,X227,X228,X229),X226) )
& ( ~ l1_pre_topc(X226)
| ~ m1_subset_1(X227,k1_zfmisc_1(u1_struct_0(X226)))
| ~ v1_tsp_1(X227,X226)
| ~ m1_subset_1(X228,u1_struct_0(X226))
| ~ m1_subset_1(X229,u1_struct_0(X226))
| X228 = X229
| ~ r2_hidden(X229,X227)
| ~ r2_hidden(X228,X227)
| m1_subset_1(esk19_4(X226,X227,X228,X229),k1_zfmisc_1(u1_struct_0(X226)))
| m1_subset_1(esk20_4(X226,X227,X228,X229),k1_zfmisc_1(u1_struct_0(X226))) ) ),
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,
! [X1110] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1110)),
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(esk21_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
% 0.00/0.04 % Problem : TOP028+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n017.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 12:36:24 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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
% 0.26/16.61 % Version: 3.5.1
% 0.26/16.61 % Preprocessing class: FMLLMLLLSSSNFFN.
% 0.26/16.61 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 0.26/16.61 % Starting new_bool_3 with 894s (3) cores
% 0.26/16.61 % Starting new_bool_1 with 894s (3) cores
% 0.26/16.61 % Starting sh5l with 298s (1) cores
% 0.26/16.61 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 0.26/16.61 % new_bool_3 with pid 2329110 completed with status 0
% 0.26/16.61 % Result found by new_bool_3
% 0.26/16.61 % Preprocessing class: FMLLMLLLSSSNFFN.
% 0.26/16.61 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 0.26/16.61 % Starting new_bool_3 with 894s (3) cores
% 0.26/16.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/16.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/16.61 % Search class: FGHSM-SMLM31-DFFFFFNN
% 0.26/16.61 % Scheduled 7 strats onto 3 cores with 894 seconds (894 total)
% 0.26/16.61 % Starting SubtermCWHack with 81s (1) cores
% 0.26/16.61 % Starting new_bool_3 with 90s (1) cores
% 0.26/16.61 % Starting SAT001_MinMin_p005000_rr_RG with 89s (1) cores
% 0.26/16.61 % SAT001_MinMin_p005000_rr_RG with pid 2329117 completed with status 0
% 0.26/16.61 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.26/16.61 % Preprocessing class: FMLLMLLLSSSNFFN.
% 0.26/16.61 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 0.26/16.61 % Starting new_bool_3 with 894s (3) cores
% 0.26/16.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/16.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/16.61 % Search class: FGHSM-SMLM31-DFFFFFNN
% 0.26/16.61 % Scheduled 7 strats onto 3 cores with 894 seconds (894 total)
% 0.26/16.61 % Starting SubtermCWHack with 81s (1) cores
% 0.26/16.61 % Starting new_bool_3 with 90s (1) cores
% 0.26/16.61 % Starting SAT001_MinMin_p005000_rr_RG with 89s (1) cores
% 0.26/16.61 % Preprocessing time : 0.191 s
% 0.26/16.61 % Presaturation interreduction done
% 0.26/16.61
% 0.26/16.61 % Proof found!
% 0.26/16.61 % SZS status Theorem
% 0.26/16.61 % SZS output start CNFRefutation
% See solution above
% 0.26/16.61 % Parsed axioms : 34391
% 0.26/16.61 % Removed by relevancy pruning/SinE : 32848
% 0.26/16.61 % Initial clauses : 3911
% 0.26/16.61 % Removed in clause preprocessing : 134
% 0.26/16.61 % Initial clauses in saturation : 3777
% 0.26/16.61 % Processed clauses : 25952
% 0.26/16.61 % ...of these trivial : 209
% 0.26/16.61 % ...subsumed : 14602
% 0.26/16.61 % ...remaining for further processing : 11141
% 0.26/16.61 % Other redundant clauses eliminated : 462
% 0.26/16.61 % Clauses deleted for lack of memory : 0
% 0.26/16.61 % Backward-subsumed : 270
% 0.26/16.61 % Backward-rewritten : 92
% 0.26/16.61 % Generated clauses : 88457
% 0.26/16.61 % ...of the previous two non-redundant : 81925
% 0.26/16.61 % ...aggressively subsumed : 0
% 0.26/16.61 % Contextual simplify-reflections : 481
% 0.26/16.61 % Paramodulations : 87983
% 0.26/16.61 % Factorizations : 3
% 0.26/16.61 % NegExts : 0
% 0.26/16.61 % Equation resolutions : 481
% 0.26/16.61 % Disequality decompositions : 0
% 0.26/16.61 % Total rewrite steps : 16521
% 0.26/16.61 % ...of those cached : 15060
% 0.26/16.61 % Propositional unsat checks : 2
% 0.26/16.61 % Propositional check models : 1
% 0.26/16.61 % Propositional check unsatisfiable : 0
% 0.26/16.61 % Propositional clauses : 0
% 0.26/16.61 % Propositional clauses after purity: 0
% 0.26/16.61 % Propositional unsat core size : 0
% 0.26/16.61 % Propositional preprocessing time : 0.000
% 0.26/16.61 % Propositional encoding time : 0.187
% 0.26/16.61 % Propositional solver time : 0.162
% 0.26/16.61 % Success case prop preproc time : 0.000
% 0.26/16.61 % Success case prop encoding time : 0.000
% 0.26/16.61 % Success case prop solver time : 0.000
% 0.26/16.61 % Current number of processed clauses : 7096
% 0.26/16.61 % Positive orientable unit clauses : 671
% 0.26/16.61 % Positive unorientable unit clauses: 2
% 0.26/16.61 % Negative unit clauses : 1639
% 0.26/16.61 % Non-unit-clauses : 4784
% 0.26/16.61 % Current number of unprocessed clauses: 62510
% 0.26/16.61 % ...number of literals in the above : 263993
% 0.26/16.61 % Current number of archived formulas : 0
% 0.26/16.61 % Current number of archived clauses : 3794
% 0.26/16.61 % Clause-clause subsumption calls (NU) : 13514629
% 0.26/16.61 % Rec. Clause-clause subsumption calls : 2233894
% 0.26/16.61 % Non-unit clause-clause subsumptions : 4227
% 0.26/16.61 % Unit Clause-clause subsumption calls : 541654
% 0.26/16.61 % Rewrite failures with RHS unbound : 0
% 0.26/16.61 % BW rewrite match attempts : 371
% 0.26/16.61 % BW rewrite match successes : 179
% 0.26/16.61 % Condensation attempts : 0
% 0.26/16.61 % Condensation successes : 0
% 0.26/16.61 % Termbank termtop insertions : 2724740
% 0.26/16.61 % Search garbage collected termcells : 398672
% 0.26/16.61
% 0.26/16.61 % -------------------------------------------------
% 0.26/16.61 % User time : 12.475 s
% 0.26/16.61 % System time : 0.370 s
% 0.26/16.61 % Total time : 12.845 s
% 0.26/16.61 % Maximum resident set size: 70884 pages
% 0.26/16.61
% 0.26/16.61 % -------------------------------------------------
% 0.26/16.61 % User time : 38.884 s
% 0.26/16.61 % System time : 0.972 s
% 0.26/16.61 % Total time : 39.856 s
% 0.26/16.61 % Maximum resident set size: 56832 pages
% 0.26/16.61 % E exiting
%------------------------------------------------------------------------------