%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT294+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:37:57 PM UTC 2026
% Result : Theorem 1.41s 1.76s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 24 unt; 0 def)
% Number of atoms : 349 ( 20 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 501 ( 199 ~; 197 |; 70 &)
% ( 1 <=>; 34 =>; 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 : 74 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2) )
=> ( ( r4_binop_1(X1,X3,X4)
=> r4_binop_1(X2,X5,X6) )
& ( r5_binop_1(X1,X3,X4)
=> r5_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] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r6_binop_1(X1,X3,X4) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_filter_2) ).
fof(d11_binop_1,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( r6_binop_1(X1,X2,X3)
<=> ( r4_binop_1(X1,X2,X3)
& r5_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] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2) )
=> ( ( r4_binop_1(X1,X3,X4)
=> r4_binop_1(X2,X5,X6) )
& ( r5_binop_1(X1,X3,X4)
=> r5_binop_1(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t3_filter_2]) ).
fof(c_0_4,plain,
! [X141,X142,X143,X144,X145,X146] :
( ( ~ r4_binop_1(X141,X143,X144)
| r4_binop_1(X142,X145,X146)
| X145 != k1_realset1(X143,X142)
| X146 != k1_realset1(X144,X142)
| ~ v1_funct_1(X146)
| ~ v1_funct_2(X146,k2_zfmisc_1(X142,X142),X142)
| ~ m2_relset_1(X146,k2_zfmisc_1(X142,X142),X142)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,k2_zfmisc_1(X142,X142),X142)
| ~ m2_relset_1(X145,k2_zfmisc_1(X142,X142),X142)
| ~ v1_funct_1(X144)
| ~ v1_funct_2(X144,k2_zfmisc_1(X141,X141),X141)
| ~ m2_relset_1(X144,k2_zfmisc_1(X141,X141),X141)
| ~ v1_funct_1(X143)
| ~ v1_funct_2(X143,k2_zfmisc_1(X141,X141),X141)
| ~ m2_relset_1(X143,k2_zfmisc_1(X141,X141),X141)
| v1_xboole_0(X142)
| ~ m1_subset_1(X142,k1_zfmisc_1(X141))
| v1_xboole_0(X141) )
& ( ~ r5_binop_1(X141,X143,X144)
| r5_binop_1(X142,X145,X146)
| X145 != k1_realset1(X143,X142)
| X146 != k1_realset1(X144,X142)
| ~ v1_funct_1(X146)
| ~ v1_funct_2(X146,k2_zfmisc_1(X142,X142),X142)
| ~ m2_relset_1(X146,k2_zfmisc_1(X142,X142),X142)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,k2_zfmisc_1(X142,X142),X142)
| ~ m2_relset_1(X145,k2_zfmisc_1(X142,X142),X142)
| ~ v1_funct_1(X144)
| ~ v1_funct_2(X144,k2_zfmisc_1(X141,X141),X141)
| ~ m2_relset_1(X144,k2_zfmisc_1(X141,X141),X141)
| ~ v1_funct_1(X143)
| ~ v1_funct_2(X143,k2_zfmisc_1(X141,X141),X141)
| ~ m2_relset_1(X143,k2_zfmisc_1(X141,X141),X141)
| v1_xboole_0(X142)
| ~ m1_subset_1(X142,k1_zfmisc_1(X141))
| v1_xboole_0(X141) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r6_binop_1(X1,X3,X4) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t4_filter_2])]) ).
cnf(c_0_6,plain,
( r4_binop_1(X4,X5,X6)
| v1_xboole_0(X4)
| v1_xboole_0(X1)
| ~ r4_binop_1(X1,X2,X3)
| X5 != k1_realset1(X2,X4)
| X6 != k1_realset1(X3,X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0))
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_1(esk4_0)
& v1_funct_2(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_1(esk6_0)
& v1_funct_2(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& esk5_0 = k1_realset1(esk3_0,esk2_0)
& esk6_0 = k1_realset1(esk4_0,esk2_0)
& r6_binop_1(esk1_0,esk3_0,esk4_0)
& ~ r6_binop_1(esk2_0,esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X97,X98,X99] :
( ( r4_binop_1(X97,X98,X99)
| ~ r6_binop_1(X97,X98,X99)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,k2_zfmisc_1(X97,X97),X97)
| ~ m2_relset_1(X99,k2_zfmisc_1(X97,X97),X97)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,k2_zfmisc_1(X97,X97),X97)
| ~ m2_relset_1(X98,k2_zfmisc_1(X97,X97),X97) )
& ( r5_binop_1(X97,X98,X99)
| ~ r6_binop_1(X97,X98,X99)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,k2_zfmisc_1(X97,X97),X97)
| ~ m2_relset_1(X99,k2_zfmisc_1(X97,X97),X97)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,k2_zfmisc_1(X97,X97),X97)
| ~ m2_relset_1(X98,k2_zfmisc_1(X97,X97),X97) )
& ( ~ r4_binop_1(X97,X98,X99)
| ~ r5_binop_1(X97,X98,X99)
| r6_binop_1(X97,X98,X99)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,k2_zfmisc_1(X97,X97),X97)
| ~ m2_relset_1(X99,k2_zfmisc_1(X97,X97),X97)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,k2_zfmisc_1(X97,X97),X97)
| ~ m2_relset_1(X98,k2_zfmisc_1(X97,X97),X97) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_binop_1])])])]) ).
cnf(c_0_9,plain,
( r4_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| ~ r4_binop_1(X4,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_10,negated_conjecture,
esk6_0 = k1_realset1(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
v1_funct_2(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
v1_funct_1(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( r4_binop_1(X1,X2,X3)
| ~ r6_binop_1(X1,X2,X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
v1_funct_2(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( r6_binop_1(X1,X2,X3)
| ~ r4_binop_1(X1,X2,X3)
| ~ r5_binop_1(X1,X2,X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( r4_binop_1(esk2_0,k1_realset1(X1,esk2_0),esk6_0)
| v1_xboole_0(X2)
| ~ r4_binop_1(X2,X1,esk4_0)
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
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_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
esk5_0 = k1_realset1(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,negated_conjecture,
( r4_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_14])]) ).
cnf(c_0_27,negated_conjecture,
v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,negated_conjecture,
r6_binop_1(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30,plain,
( r5_binop_1(X4,X5,X6)
| v1_xboole_0(X4)
| v1_xboole_0(X1)
| ~ r5_binop_1(X1,X2,X3)
| X5 != k1_realset1(X2,X4)
| X6 != k1_realset1(X3,X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,negated_conjecture,
( r6_binop_1(esk2_0,X1,esk6_0)
| ~ r5_binop_1(esk2_0,X1,esk6_0)
| ~ r4_binop_1(esk2_0,X1,esk6_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_32,negated_conjecture,
~ r6_binop_1(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( r4_binop_1(esk2_0,esk5_0,esk6_0)
| v1_xboole_0(X1)
| ~ r4_binop_1(X1,esk3_0,esk4_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(esk3_0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
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_20,c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_34,negated_conjecture,
r4_binop_1(esk1_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_25])]) ).
cnf(c_0_35,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37,plain,
( r5_binop_1(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| ~ r5_binop_1(X4,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]) ).
cnf(c_0_38,negated_conjecture,
( ~ r5_binop_1(esk2_0,esk5_0,esk6_0)
| ~ r4_binop_1(esk2_0,esk5_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_31,c_0_23]),c_0_22]),c_0_24])]),c_0_32]) ).
cnf(c_0_39,negated_conjecture,
r4_binop_1(esk2_0,esk5_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_34]),c_0_29]),c_0_18]),c_0_27]),c_0_35])]),c_0_36]) ).
cnf(c_0_40,plain,
( r5_binop_1(X1,X2,X3)
| ~ r6_binop_1(X1,X2,X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
( r5_binop_1(esk2_0,k1_realset1(X1,esk2_0),esk6_0)
| v1_xboole_0(X2)
| ~ r5_binop_1(X2,X1,esk4_0)
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
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_37,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_42,negated_conjecture,
~ r5_binop_1(esk2_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_43,negated_conjecture,
( r5_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_17]),c_0_18]),c_0_14])]) ).
cnf(c_0_44,negated_conjecture,
( v1_xboole_0(X1)
| ~ r5_binop_1(X1,esk3_0,esk4_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(esk3_0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(esk4_0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
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_41,c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]),c_0_42]) ).
cnf(c_0_45,negated_conjecture,
r5_binop_1(esk1_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_28]),c_0_29]),c_0_25])]) ).
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_18]),c_0_45]),c_0_17]),c_0_29]),c_0_27]),c_0_35])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT294+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n003.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 21:03:56 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.41/1.76 % Version : CSE_E---1.7
% 1.41/1.76 % Problem : theBenchmark.p
% 1.41/1.76 % SZS status Theorem for theBenchmark.p
% 1.41/1.76 % SZS output start CNFRefutation
% See solution above
% 1.41/1.76 % Total time : 1.371s
%------------------------------------------------------------------------------