TSTP Solution File: LAT294+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 18:10:26 EDT 2023
% Result : Theorem 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 24 unt; 0 def)
% Number of atoms : 352 ( 20 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 502 ( 198 ~; 199 |; 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/tmp/tmp.PkdQOwET6H/E---3.1_14455.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/tmp/tmp.PkdQOwET6H/E---3.1_14455.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/tmp/tmp.PkdQOwET6H/E---3.1_14455.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,
! [X31,X32,X33,X34,X35,X36] :
( ( ~ r4_binop_1(X31,X33,X34)
| r4_binop_1(X32,X35,X36)
| X35 != k1_realset1(X33,X32)
| X36 != k1_realset1(X34,X32)
| ~ v1_funct_1(X36)
| ~ v1_funct_2(X36,k2_zfmisc_1(X32,X32),X32)
| ~ m2_relset_1(X36,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_1(X35)
| ~ v1_funct_2(X35,k2_zfmisc_1(X32,X32),X32)
| ~ m2_relset_1(X35,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_1(X34)
| ~ v1_funct_2(X34,k2_zfmisc_1(X31,X31),X31)
| ~ m2_relset_1(X34,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_1(X33)
| ~ v1_funct_2(X33,k2_zfmisc_1(X31,X31),X31)
| ~ m2_relset_1(X33,k2_zfmisc_1(X31,X31),X31)
| v1_xboole_0(X32)
| ~ m1_subset_1(X32,k1_zfmisc_1(X31))
| v1_xboole_0(X31) )
& ( ~ r5_binop_1(X31,X33,X34)
| r5_binop_1(X32,X35,X36)
| X35 != k1_realset1(X33,X32)
| X36 != k1_realset1(X34,X32)
| ~ v1_funct_1(X36)
| ~ v1_funct_2(X36,k2_zfmisc_1(X32,X32),X32)
| ~ m2_relset_1(X36,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_1(X35)
| ~ v1_funct_2(X35,k2_zfmisc_1(X32,X32),X32)
| ~ m2_relset_1(X35,k2_zfmisc_1(X32,X32),X32)
| ~ v1_funct_1(X34)
| ~ v1_funct_2(X34,k2_zfmisc_1(X31,X31),X31)
| ~ m2_relset_1(X34,k2_zfmisc_1(X31,X31),X31)
| ~ v1_funct_1(X33)
| ~ v1_funct_2(X33,k2_zfmisc_1(X31,X31),X31)
| ~ m2_relset_1(X33,k2_zfmisc_1(X31,X31),X31)
| v1_xboole_0(X32)
| ~ m1_subset_1(X32,k1_zfmisc_1(X31))
| v1_xboole_0(X31) ) ),
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,
( 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]) ).
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])])]) ).
cnf(c_0_8,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]) ).
cnf(c_0_9,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_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]) ).
fof(c_0_16,plain,
! [X13,X14,X15] :
( ( r4_binop_1(X13,X14,X15)
| ~ r6_binop_1(X13,X14,X15)
| ~ v1_funct_1(X15)
| ~ v1_funct_2(X15,k2_zfmisc_1(X13,X13),X13)
| ~ m2_relset_1(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X14)
| ~ v1_funct_2(X14,k2_zfmisc_1(X13,X13),X13)
| ~ m2_relset_1(X14,k2_zfmisc_1(X13,X13),X13) )
& ( r5_binop_1(X13,X14,X15)
| ~ r6_binop_1(X13,X14,X15)
| ~ v1_funct_1(X15)
| ~ v1_funct_2(X15,k2_zfmisc_1(X13,X13),X13)
| ~ m2_relset_1(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X14)
| ~ v1_funct_2(X14,k2_zfmisc_1(X13,X13),X13)
| ~ m2_relset_1(X14,k2_zfmisc_1(X13,X13),X13) )
& ( ~ r4_binop_1(X13,X14,X15)
| ~ r5_binop_1(X13,X14,X15)
| r6_binop_1(X13,X14,X15)
| ~ v1_funct_1(X15)
| ~ v1_funct_2(X15,k2_zfmisc_1(X13,X13),X13)
| ~ m2_relset_1(X15,k2_zfmisc_1(X13,X13),X13)
| ~ v1_funct_1(X14)
| ~ v1_funct_2(X14,k2_zfmisc_1(X13,X13),X13)
| ~ m2_relset_1(X14,k2_zfmisc_1(X13,X13),X13) ) ),
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_17,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_8])]) ).
cnf(c_0_18,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_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_19,negated_conjecture,
esk5_0 = k1_realset1(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,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_21,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_22,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,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_16]) ).
cnf(c_0_25,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_26,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_27,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_17,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_28,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_16]) ).
cnf(c_0_29,negated_conjecture,
( r5_binop_1(esk2_0,esk5_0,esk6_0)
| 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(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_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_30,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_31,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_32,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_34,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_24,c_0_25]),c_0_26]),c_0_14])]) ).
cnf(c_0_35,negated_conjecture,
r6_binop_1(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,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_27,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_37,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_28,c_0_25]),c_0_26]),c_0_14])]) ).
cnf(c_0_38,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_16]) ).
cnf(c_0_39,negated_conjecture,
( r5_binop_1(esk2_0,esk5_0,esk6_0)
| ~ r5_binop_1(esk1_0,esk3_0,esk4_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_29,c_0_25]),c_0_30]),c_0_26]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_40,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_34,c_0_30]),c_0_35]),c_0_31]),c_0_23])]) ).
cnf(c_0_41,negated_conjecture,
( r4_binop_1(esk2_0,esk5_0,esk6_0)
| ~ r4_binop_1(esk1_0,esk3_0,esk4_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_36,c_0_25]),c_0_30]),c_0_26]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_42,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_37,c_0_30]),c_0_35]),c_0_31]),c_0_23])]) ).
cnf(c_0_43,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_38,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_44,negated_conjecture,
r5_binop_1(esk2_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_45,negated_conjecture,
r4_binop_1(esk2_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_46,negated_conjecture,
~ r6_binop_1(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_47,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_43,c_0_20]),c_0_44]),c_0_45]),c_0_21]),c_0_22])]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT294+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.10 % Command : run_E %s %d THM
% 0.11/0.30 % Computer : n017.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 2400
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Oct 2 09:42:26 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 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.PkdQOwET6H/E---3.1_14455.p
% 0.16/0.43 # Version: 3.1pre001
% 0.16/0.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # Starting sh5l with 300s (1) cores
% 0.16/0.43 # new_bool_3 with pid 14533 completed with status 0
% 0.16/0.43 # Result found by new_bool_3
% 0.16/0.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43 # Search class: FGUSM-FFMM21-SFFFFFNN
% 0.16/0.43 # partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.16/0.43 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 163s (1) cores
% 0.16/0.43 # G-E--_200_B02_F1_SE_CS_SP_PI_S0S with pid 14536 completed with status 0
% 0.16/0.43 # Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S0S
% 0.16/0.43 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43 # Search class: FGUSM-FFMM21-SFFFFFNN
% 0.16/0.43 # partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.16/0.43 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 163s (1) cores
% 0.16/0.43 # Preprocessing time : 0.001 s
% 0.16/0.43
% 0.16/0.43 # Proof found!
% 0.16/0.43 # SZS status Theorem
% 0.16/0.43 # SZS output start CNFRefutation
% See solution above
% 0.16/0.43 # Parsed axioms : 42
% 0.16/0.43 # Removed by relevancy pruning/SinE : 23
% 0.16/0.43 # Initial clauses : 46
% 0.16/0.43 # Removed in clause preprocessing : 0
% 0.16/0.43 # Initial clauses in saturation : 46
% 0.16/0.43 # Processed clauses : 171
% 0.16/0.43 # ...of these trivial : 0
% 0.16/0.43 # ...subsumed : 4
% 0.16/0.43 # ...remaining for further processing : 167
% 0.16/0.43 # Other redundant clauses eliminated : 4
% 0.16/0.43 # Clauses deleted for lack of memory : 0
% 0.16/0.43 # Backward-subsumed : 0
% 0.16/0.43 # Backward-rewritten : 11
% 0.16/0.43 # Generated clauses : 165
% 0.16/0.43 # ...of the previous two non-redundant : 155
% 0.16/0.43 # ...aggressively subsumed : 0
% 0.16/0.43 # Contextual simplify-reflections : 0
% 0.16/0.43 # Paramodulations : 163
% 0.16/0.43 # Factorizations : 0
% 0.16/0.43 # NegExts : 0
% 0.16/0.43 # Equation resolutions : 4
% 0.16/0.43 # Total rewrite steps : 189
% 0.16/0.43 # Propositional unsat checks : 0
% 0.16/0.43 # Propositional check models : 0
% 0.16/0.43 # Propositional check unsatisfiable : 0
% 0.16/0.43 # Propositional clauses : 0
% 0.16/0.43 # Propositional clauses after purity: 0
% 0.16/0.43 # Propositional unsat core size : 0
% 0.16/0.43 # Propositional preprocessing time : 0.000
% 0.16/0.43 # Propositional encoding time : 0.000
% 0.16/0.43 # Propositional solver time : 0.000
% 0.16/0.43 # Success case prop preproc time : 0.000
% 0.16/0.43 # Success case prop encoding time : 0.000
% 0.16/0.43 # Success case prop solver time : 0.000
% 0.16/0.43 # Current number of processed clauses : 154
% 0.16/0.43 # Positive orientable unit clauses : 82
% 0.16/0.43 # Positive unorientable unit clauses: 0
% 0.16/0.43 # Negative unit clauses : 5
% 0.16/0.43 # Non-unit-clauses : 67
% 0.16/0.43 # Current number of unprocessed clauses: 21
% 0.16/0.43 # ...number of literals in the above : 48
% 0.16/0.43 # Current number of archived formulas : 0
% 0.16/0.43 # Current number of archived clauses : 11
% 0.16/0.43 # Clause-clause subsumption calls (NU) : 1493
% 0.16/0.43 # Rec. Clause-clause subsumption calls : 177
% 0.16/0.43 # Non-unit clause-clause subsumptions : 2
% 0.16/0.43 # Unit Clause-clause subsumption calls : 519
% 0.16/0.43 # Rewrite failures with RHS unbound : 0
% 0.16/0.43 # BW rewrite match attempts : 181
% 0.16/0.43 # BW rewrite match successes : 7
% 0.16/0.43 # Condensation attempts : 0
% 0.16/0.43 # Condensation successes : 0
% 0.16/0.43 # Termbank termtop insertions : 7627
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.013 s
% 0.16/0.43 # System time : 0.003 s
% 0.16/0.43 # Total time : 0.016 s
% 0.16/0.43 # Maximum resident set size: 1888 pages
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.014 s
% 0.16/0.43 # System time : 0.006 s
% 0.16/0.43 # Total time : 0.020 s
% 0.16/0.43 # Maximum resident set size: 1712 pages
% 0.16/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------