TSTP Solution File: TOP028+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : TOP028+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:51:35 EDT 2023
% Result : Theorem 10.63s 2.48s
% Output : CNFRefutation 10.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 318 ( 24 equ)
% Maximal formula atoms : 194 ( 11 avg)
% Number of connectives : 493 ( 203 ~; 208 |; 58 &)
% ( 4 <=>; 20 =>; 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 : 54 ( 3 sgn; 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t10_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.gcRs8LbTZm/E---3.1_14381.p',t10_tsp_2) ).
fof(t9_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(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,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gcRs8LbTZm/E---3.1_14381.p',t9_tsp_2) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.gcRs8LbTZm/E---3.1_14381.p',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))
=> ~ ( r2_hidden(X3,X2)
& r2_hidden(X4,X2)
& X3 != X4
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& r2_hidden(X3,X5)
& ~ r2_hidden(X4,X5) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& ~ r2_hidden(X3,X5)
& r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gcRs8LbTZm/E---3.1_14381.p',d8_tsp_1) ).
fof(t4_subset_1,axiom,
! [X1] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/tmp.gcRs8LbTZm/E---3.1_14381.p',t4_subset_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t10_tsp_2])]) ).
fof(c_0_6,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(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,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t9_tsp_2]) ).
fof(c_0_7,plain,
! [X1] :
( X1 = k1_xboole_0
<=> ! [X2] : ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_8,negated_conjecture,
! [X11] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ( ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X11,esk1_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_9,plain,
! [X46,X47] :
( ( m1_subset_1(esk5_2(X46,X47),k1_zfmisc_1(u1_struct_0(X46)))
| ~ v1_tsp_1(X47,X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
| v3_struct_0(X46)
| ~ v2_pre_topc(X46)
| ~ l1_pre_topc(X46) )
& ( r1_tarski(X47,esk5_2(X46,X47))
| ~ v1_tsp_1(X47,X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
| v3_struct_0(X46)
| ~ v2_pre_topc(X46)
| ~ l1_pre_topc(X46) )
& ( v1_tsp_2(esk5_2(X46,X47),X46)
| ~ v1_tsp_1(X47,X46)
| ~ m1_subset_1(X47,k1_zfmisc_1(u1_struct_0(X46)))
| v3_struct_0(X46)
| ~ v2_pre_topc(X46)
| ~ l1_pre_topc(X46) ) ),
inference(distribute,[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,
! [X1688,X1689,X1690] :
( ( X1688 != k1_xboole_0
| ~ r2_hidden(X1689,X1688) )
& ( r2_hidden(esk227_1(X1690),X1690)
| X1690 = k1_xboole_0 ) ),
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_7])])])])]) ).
fof(c_0_11,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))
=> ~ ( r2_hidden(X3,X2)
& r2_hidden(X4,X2)
& X3 != X4
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& r2_hidden(X3,X5)
& ~ r2_hidden(X4,X5) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& ~ r2_hidden(X3,X5)
& r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_tsp_1]) ).
cnf(c_0_12,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( v1_tsp_2(esk5_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( X1 != k1_xboole_0
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_18,plain,
! [X126,X127,X128,X129,X134,X135] :
( ( m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( v3_pre_topc(esk13_4(X126,X127,X128,X129),X126)
| m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129))
| m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( r2_hidden(X129,esk13_4(X126,X127,X128,X129))
| m1_subset_1(esk12_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( v3_pre_topc(esk13_4(X126,X127,X128,X129),X126)
| v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129))
| v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( r2_hidden(X129,esk13_4(X126,X127,X128,X129))
| v3_pre_topc(esk12_4(X126,X127,X128,X129),X126)
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| r2_hidden(X128,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( v3_pre_topc(esk13_4(X126,X127,X128,X129),X126)
| r2_hidden(X128,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129))
| r2_hidden(X128,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( r2_hidden(X129,esk13_4(X126,X127,X128,X129))
| r2_hidden(X128,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( m1_subset_1(esk13_4(X126,X127,X128,X129),k1_zfmisc_1(u1_struct_0(X126)))
| ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( v3_pre_topc(esk13_4(X126,X127,X128,X129),X126)
| ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( ~ r2_hidden(X128,esk13_4(X126,X127,X128,X129))
| ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( r2_hidden(X129,esk13_4(X126,X127,X128,X129))
| ~ r2_hidden(X129,esk12_4(X126,X127,X128,X129))
| ~ r2_hidden(X128,X127)
| ~ r2_hidden(X129,X127)
| X128 = X129
| ~ m1_subset_1(X129,u1_struct_0(X126))
| ~ m1_subset_1(X128,u1_struct_0(X126))
| ~ v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( m1_subset_1(esk14_2(X126,X127),u1_struct_0(X126))
| v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( m1_subset_1(esk15_2(X126,X127),u1_struct_0(X126))
| v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( r2_hidden(esk14_2(X126,X127),X127)
| v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( r2_hidden(esk15_2(X126,X127),X127)
| v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( esk14_2(X126,X127) != esk15_2(X126,X127)
| v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( ~ m1_subset_1(X134,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v3_pre_topc(X134,X126)
| ~ r2_hidden(esk14_2(X126,X127),X134)
| r2_hidden(esk15_2(X126,X127),X134)
| v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) )
& ( ~ m1_subset_1(X135,k1_zfmisc_1(u1_struct_0(X126)))
| ~ v3_pre_topc(X135,X126)
| r2_hidden(esk14_2(X126,X127),X135)
| ~ r2_hidden(esk15_2(X126,X127),X135)
| v1_tsp_1(X127,X126)
| ~ m1_subset_1(X127,k1_zfmisc_1(u1_struct_0(X126)))
| ~ l1_pre_topc(X126) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
fof(c_0_19,plain,
! [X1712] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1712)),
inference(variable_rename,[status(thm)],[t4_subset_1]) ).
cnf(c_0_20,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(esk5_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,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(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_21,plain,
( m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( r2_hidden(esk14_2(X1,X2),X2)
| v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(X1,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(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_26,plain,
( v1_tsp_1(k1_xboole_0,X1)
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_24]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : TOP028+2 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Oct 2 19:43:37 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.53/0.70 Running first-order model finding
% 0.53/0.70 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.gcRs8LbTZm/E---3.1_14381.p
% 10.63/2.48 # Version: 3.1pre001
% 10.63/2.48 # Preprocessing class: FMLMSMSLSSSNFFN.
% 10.63/2.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.63/2.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 10.63/2.48 # Starting new_bool_3 with 600s (2) cores
% 10.63/2.48 # Starting new_bool_1 with 600s (2) cores
% 10.63/2.48 # Starting sh5l with 300s (1) cores
% 10.63/2.48 # new_bool_1 with pid 14460 completed with status 0
% 10.63/2.48 # Result found by new_bool_1
% 10.63/2.48 # Preprocessing class: FMLMSMSLSSSNFFN.
% 10.63/2.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.63/2.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 10.63/2.48 # Starting new_bool_3 with 600s (2) cores
% 10.63/2.48 # Starting new_bool_1 with 600s (2) cores
% 10.63/2.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.63/2.48 # Search class: FGHSM-SMLM31-MFFFFFNN
% 10.63/2.48 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 10.63/2.48 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 361s (1) cores
% 10.63/2.48 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 61s (1) cores
% 10.63/2.48 # C07_19_nc_SAT001_MinMin_p005000_rr with pid 14462 completed with status 0
% 10.63/2.48 # Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 10.63/2.48 # Preprocessing class: FMLMSMSLSSSNFFN.
% 10.63/2.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.63/2.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 10.63/2.48 # Starting new_bool_3 with 600s (2) cores
% 10.63/2.48 # Starting new_bool_1 with 600s (2) cores
% 10.63/2.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.63/2.48 # Search class: FGHSM-SMLM31-MFFFFFNN
% 10.63/2.48 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 10.63/2.48 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 361s (1) cores
% 10.63/2.48 # Preprocessing time : 0.037 s
% 10.63/2.48 # Presaturation interreduction done
% 10.63/2.48
% 10.63/2.48 # Proof found!
% 10.63/2.48 # SZS status Theorem
% 10.63/2.48 # SZS output start CNFRefutation
% See solution above
% 10.63/2.48 # Parsed axioms : 3592
% 10.63/2.48 # Removed by relevancy pruning/SinE : 2688
% 10.63/2.48 # Initial clauses : 2299
% 10.63/2.48 # Removed in clause preprocessing : 90
% 10.63/2.48 # Initial clauses in saturation : 2209
% 10.63/2.48 # Processed clauses : 11858
% 10.63/2.48 # ...of these trivial : 48
% 10.63/2.48 # ...subsumed : 7335
% 10.63/2.48 # ...remaining for further processing : 4475
% 10.63/2.48 # Other redundant clauses eliminated : 263
% 10.63/2.48 # Clauses deleted for lack of memory : 0
% 10.63/2.48 # Backward-subsumed : 31
% 10.63/2.48 # Backward-rewritten : 60
% 10.63/2.48 # Generated clauses : 26356
% 10.63/2.48 # ...of the previous two non-redundant : 22978
% 10.63/2.48 # ...aggressively subsumed : 0
% 10.63/2.48 # Contextual simplify-reflections : 357
% 10.63/2.48 # Paramodulations : 26088
% 10.63/2.48 # Factorizations : 1
% 10.63/2.48 # NegExts : 0
% 10.63/2.48 # Equation resolutions : 272
% 10.63/2.48 # Total rewrite steps : 5233
% 10.63/2.48 # Propositional unsat checks : 0
% 10.63/2.48 # Propositional check models : 0
% 10.63/2.48 # Propositional check unsatisfiable : 0
% 10.63/2.49 # Propositional clauses : 0
% 10.63/2.49 # Propositional clauses after purity: 0
% 10.63/2.49 # Propositional unsat core size : 0
% 10.63/2.49 # Propositional preprocessing time : 0.000
% 10.63/2.49 # Propositional encoding time : 0.000
% 10.63/2.49 # Propositional solver time : 0.000
% 10.63/2.49 # Success case prop preproc time : 0.000
% 10.63/2.49 # Success case prop encoding time : 0.000
% 10.63/2.49 # Success case prop solver time : 0.000
% 10.63/2.49 # Current number of processed clauses : 2251
% 10.63/2.49 # Positive orientable unit clauses : 193
% 10.63/2.49 # Positive unorientable unit clauses: 1
% 10.63/2.49 # Negative unit clauses : 386
% 10.63/2.49 # Non-unit-clauses : 1671
% 10.63/2.49 # Current number of unprocessed clauses: 15216
% 10.63/2.49 # ...number of literals in the above : 51087
% 10.63/2.49 # Current number of archived formulas : 0
% 10.63/2.49 # Current number of archived clauses : 2083
% 10.63/2.49 # Clause-clause subsumption calls (NU) : 3119142
% 10.63/2.49 # Rec. Clause-clause subsumption calls : 328784
% 10.63/2.49 # Non-unit clause-clause subsumptions : 3209
% 10.63/2.49 # Unit Clause-clause subsumption calls : 14730
% 10.63/2.49 # Rewrite failures with RHS unbound : 0
% 10.63/2.49 # BW rewrite match attempts : 206
% 10.63/2.49 # BW rewrite match successes : 90
% 10.63/2.49 # Condensation attempts : 0
% 10.63/2.49 # Condensation successes : 0
% 10.63/2.49 # Termbank termtop insertions : 528913
% 10.63/2.49
% 10.63/2.49 # -------------------------------------------------
% 10.63/2.49 # User time : 1.560 s
% 10.63/2.49 # System time : 0.031 s
% 10.63/2.49 # Total time : 1.591 s
% 10.63/2.49 # Maximum resident set size: 12316 pages
% 10.63/2.49
% 10.63/2.49 # -------------------------------------------------
% 10.63/2.49 # User time : 3.118 s
% 10.63/2.49 # System time : 0.074 s
% 10.63/2.49 # Total time : 3.191 s
% 10.63/2.49 # Maximum resident set size: 6148 pages
% 10.63/2.49 % E---3.1 exiting
%------------------------------------------------------------------------------