%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT294+1 : 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 : n003.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 01:04:44 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 22 unt; 0 def)
% Number of atoms : 369 ( 22 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 525 ( 203 ~; 199 |; 81 &)
% ( 1 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X6) )
=> ( ( X6 = k1_realset1(X4,X2)
& X5 = k1_realset1(X3,X2) )
=> ( ( r5_binop_1(X1,X3,X4)
=> r5_binop_1(X2,X5,X6) )
& ( r4_binop_1(X1,X3,X4)
=> r4_binop_1(X2,X5,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_filter_2) ).
fof(t4_filter_2,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X6) )
=> ( ( r6_binop_1(X1,X3,X4)
& X6 = k1_realset1(X4,X2)
& X5 = k1_realset1(X3,X2) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_filter_2) ).
fof(d11_binop_1,axiom,
! [X1,X2] :
( ( m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ( r6_binop_1(X1,X2,X3)
<=> ( r5_binop_1(X1,X2,X3)
& r4_binop_1(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_binop_1) ).
fof(c_0_3,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X6) )
=> ( ( X6 = k1_realset1(X4,X2)
& X5 = k1_realset1(X3,X2) )
=> ( ( r5_binop_1(X1,X3,X4)
=> r5_binop_1(X2,X5,X6) )
& ( r4_binop_1(X1,X3,X4)
=> r4_binop_1(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t3_filter_2]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X6) )
=> ( ( r6_binop_1(X1,X3,X4)
& X6 = k1_realset1(X4,X2)
& X5 = k1_realset1(X3,X2) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t4_filter_2]) ).
fof(c_0_5,plain,
! [X31,X32,X33,X34,X35,X36] :
( ( v1_xboole_0(X31)
| ~ m1_subset_1(X32,k1_zfmisc_1(X31))
| v1_xboole_0(X32)
| ~ m2_relset_1(X33,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_2(X33,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_1(X33)
| ~ m2_relset_1(X34,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_2(X34,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_1(X34)
| ~ m2_relset_1(X35,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_2(X35,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_1(X35)
| ~ m2_relset_1(X36,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_2(X36,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_1(X36)
| X36 != k1_realset1(X34,X32)
| X35 != k1_realset1(X33,X32)
| r5_binop_1(X32,X35,X36)
| ~ r5_binop_1(X31,X33,X34) )
& ( v1_xboole_0(X31)
| ~ m1_subset_1(X32,k1_zfmisc_1(X31))
| v1_xboole_0(X32)
| ~ m2_relset_1(X33,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_2(X33,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_1(X33)
| ~ m2_relset_1(X34,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_2(X34,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_1(X34)
| ~ m2_relset_1(X35,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_2(X35,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_1(X35)
| ~ m2_relset_1(X36,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_2(X36,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_1(X36)
| X36 != k1_realset1(X34,X32)
| X35 != k1_realset1(X33,X32)
| r4_binop_1(X32,X35,X36)
| ~ r4_binop_1(X31,X33,X34) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X6) )
=> ( ( r6_binop_1(X1,X3,X4)
& X6 = k1_realset1(X4,X2)
& X5 = k1_realset1(X3,X2) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| X6 != k1_realset1(X3,X4)
| X5 != k1_realset1(X2,X4)
| ~ r5_binop_1(X1,X2,X3)
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| r5_binop_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
( ~ r6_binop_1(esk2_0,esk5_0,esk6_0)
& r6_binop_1(esk1_0,esk3_0,esk4_0)
& esk6_0 = k1_realset1(esk4_0,esk2_0)
& esk5_0 = k1_realset1(esk3_0,esk2_0)
& m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_2(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_1(esk6_0)
& m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_1(esk5_0)
& m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_2(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_1(esk4_0)
& m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_1(esk3_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0))
& ~ v1_xboole_0(esk2_0)
& ~ v1_xboole_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_9,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| X6 != k1_realset1(X3,X4)
| X5 != k1_realset1(X2,X4)
| ~ r4_binop_1(X1,X2,X3)
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| r4_binop_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ r5_binop_1(X4,X2,X3)
| v1_xboole_0(X4)
| v1_xboole_0(X1)
| r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])]) ).
cnf(c_0_11,negated_conjecture,
esk6_0 = k1_realset1(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
v1_funct_2(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
v1_funct_1(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X4))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ r4_binop_1(X4,X2,X3)
| v1_xboole_0(X4)
| v1_xboole_0(X1)
| r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_9])]) ).
cnf(c_0_18,negated_conjecture,
( ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ r5_binop_1(X2,X1,esk4_0)
| v1_xboole_0(X2)
| r5_binop_1(esk2_0,k1_realset1(X1,esk2_0),esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
v1_funct_2(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_23,plain,
! [X13,X14,X15] :
( ( ~ m2_relset_1(X14,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_2(X14,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X14)
| ~ m2_relset_1(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_2(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X15)
| r6_binop_1(X13,X14,X15)
| ~ r5_binop_1(X13,X14,X15)
| ~ r4_binop_1(X13,X14,X15) )
& ( ~ m2_relset_1(X14,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_2(X14,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X14)
| ~ m2_relset_1(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_2(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X15)
| ~ r6_binop_1(X13,X14,X15)
| r5_binop_1(X13,X14,X15) )
& ( ~ m2_relset_1(X14,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_2(X14,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X14)
| ~ m2_relset_1(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_2(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X15)
| ~ r6_binop_1(X13,X14,X15)
| r4_binop_1(X13,X14,X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_binop_1])])])])]) ).
cnf(c_0_24,negated_conjecture,
( ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ r4_binop_1(X2,X1,esk4_0)
| v1_xboole_0(X2)
| r4_binop_1(esk2_0,k1_realset1(X1,esk2_0),esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ r5_binop_1(esk1_0,X1,esk4_0)
| r5_binop_1(esk2_0,k1_realset1(X1,esk2_0),esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
esk5_0 = k1_realset1(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,plain,
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ r6_binop_1(X1,X2,X3)
| r5_binop_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ r4_binop_1(esk1_0,X1,esk4_0)
| r4_binop_1(esk2_0,k1_realset1(X1,esk2_0),esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_19]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_35,plain,
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ r6_binop_1(X1,X2,X3)
| r4_binop_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
( ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ r5_binop_1(X1,X2,X3)
| ~ r4_binop_1(X1,X2,X3)
| r6_binop_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,negated_conjecture,
( ~ r5_binop_1(esk1_0,esk3_0,esk4_0)
| r5_binop_1(esk2_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).
cnf(c_0_38,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| r5_binop_1(esk1_0,X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_19]),c_0_20]),c_0_15])]) ).
cnf(c_0_39,negated_conjecture,
r6_binop_1(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
( ~ r4_binop_1(esk1_0,esk3_0,esk4_0)
| r4_binop_1(esk2_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).
cnf(c_0_41,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| r4_binop_1(esk1_0,X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_19]),c_0_20]),c_0_15])]) ).
cnf(c_0_42,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ r4_binop_1(esk2_0,X1,esk6_0)
| ~ r5_binop_1(esk2_0,X1,esk6_0)
| r6_binop_1(esk2_0,X1,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_12]),c_0_14])]) ).
cnf(c_0_43,negated_conjecture,
r5_binop_1(esk2_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_28]),c_0_30]),c_0_32])]) ).
cnf(c_0_44,negated_conjecture,
r4_binop_1(esk2_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_39]),c_0_28]),c_0_30]),c_0_32])]) ).
cnf(c_0_45,negated_conjecture,
~ r6_binop_1(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_27]),c_0_29]),c_0_31])]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT294+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 23:30:01 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.43 % Version: 3.5.1
% 0.13/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.43 % Starting sh5l with 300s (1) cores
% 0.13/0.43 % new_bool_3 with pid 2851965 completed with status 0
% 0.13/0.43 % Result found by new_bool_3
% 0.13/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.43 % Search class: FGUSM-FFMM21-SFFFFFNN
% 0.13/0.43 % partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.13/0.43 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.43 % Starting SubtermCWHack with 28s (1) cores
% 0.13/0.43 % SubtermCWHack with pid 2851968 completed with status 0
% 0.13/0.43 % Result found by SubtermCWHack
% 0.13/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.43 % Search class: FGUSM-FFMM21-SFFFFFNN
% 0.13/0.43 % partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.13/0.43 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.43 % Starting SubtermCWHack with 28s (1) cores
% 0.13/0.43 % Preprocessing time : 0.001 s
% 0.13/0.43
% 0.13/0.43 % Proof found!
% 0.13/0.43 % SZS status Theorem
% 0.13/0.43 % SZS output start CNFRefutation
% See solution above
% 0.13/0.43 % Parsed axioms : 42
% 0.13/0.43 % Removed by relevancy pruning/SinE : 23
% 0.13/0.43 % Initial clauses : 46
% 0.13/0.43 % Removed in clause preprocessing : 0
% 0.13/0.43 % Initial clauses in saturation : 46
% 0.13/0.43 % Processed clauses : 95
% 0.13/0.43 % ...of these trivial : 0
% 0.13/0.43 % ...subsumed : 2
% 0.13/0.43 % ...remaining for further processing : 93
% 0.13/0.43 % Other redundant clauses eliminated : 4
% 0.13/0.43 % Clauses deleted for lack of memory : 0
% 0.13/0.43 % Backward-subsumed : 2
% 0.13/0.43 % Backward-rewritten : 8
% 0.13/0.43 % Generated clauses : 61
% 0.13/0.43 % ...of the previous two non-redundant : 54
% 0.13/0.43 % ...aggressively subsumed : 0
% 0.13/0.43 % Contextual simplify-reflections : 0
% 0.13/0.43 % Paramodulations : 59
% 0.13/0.43 % Factorizations : 0
% 0.13/0.43 % NegExts : 0
% 0.13/0.43 % Equation resolutions : 4
% 0.13/0.43 % Disequality decompositions : 0
% 0.13/0.43 % Total rewrite steps : 124
% 0.13/0.43 % ...of those cached : 101
% 0.13/0.43 % Propositional unsat checks : 0
% 0.13/0.43 % Propositional check models : 0
% 0.13/0.43 % Propositional check unsatisfiable : 0
% 0.13/0.43 % Propositional clauses : 0
% 0.13/0.43 % Propositional clauses after purity: 0
% 0.13/0.43 % Propositional unsat core size : 0
% 0.13/0.43 % Propositional preprocessing time : 0.000
% 0.13/0.43 % Propositional encoding time : 0.000
% 0.13/0.43 % Propositional solver time : 0.000
% 0.13/0.43 % Success case prop preproc time : 0.000
% 0.13/0.43 % Success case prop encoding time : 0.000
% 0.13/0.43 % Success case prop solver time : 0.000
% 0.13/0.43 % Current number of processed clauses : 81
% 0.13/0.43 % Positive orientable unit clauses : 34
% 0.13/0.43 % Positive unorientable unit clauses: 0
% 0.13/0.43 % Negative unit clauses : 5
% 0.13/0.43 % Non-unit-clauses : 42
% 0.13/0.43 % Current number of unprocessed clauses: 3
% 0.13/0.43 % ...number of literals in the above : 23
% 0.13/0.43 % Current number of archived formulas : 0
% 0.13/0.43 % Current number of archived clauses : 10
% 0.13/0.43 % Clause-clause subsumption calls (NU) : 1415
% 0.13/0.43 % Rec. Clause-clause subsumption calls : 59
% 0.13/0.43 % Non-unit clause-clause subsumptions : 2
% 0.13/0.43 % Unit Clause-clause subsumption calls : 38
% 0.13/0.43 % Rewrite failures with RHS unbound : 0
% 0.13/0.43 % BW rewrite match attempts : 6
% 0.13/0.43 % BW rewrite match successes : 6
% 0.13/0.43 % Condensation attempts : 0
% 0.13/0.43 % Condensation successes : 0
% 0.13/0.43 % Termbank termtop insertions : 5927
% 0.13/0.43 % Search garbage collected termcells : 782
% 0.13/0.43
% 0.13/0.43 % -------------------------------------------------
% 0.13/0.43 % User time : 0.009 s
% 0.13/0.43 % System time : 0.002 s
% 0.13/0.43 % Total time : 0.011 s
% 0.13/0.43 % Maximum resident set size: 3676 pages
% 0.13/0.43
% 0.13/0.43 % -------------------------------------------------
% 0.13/0.43 % User time : 0.012 s
% 0.13/0.43 % System time : 0.005 s
% 0.13/0.43 % Total time : 0.018 s
% 0.13/0.43 % Maximum resident set size: 4864 pages
% 0.13/0.43 % E exiting
%------------------------------------------------------------------------------