TSTP Solution File: CAT031+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : CAT031+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 : 600s
% DateTime : Thu Jul 14 23:59:00 EDT 2022
% Result : Theorem 26.50s 7.73s
% Output : CNFRefutation 26.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 35
% Syntax : Number of clauses : 112 ( 47 unt; 8 nHn; 112 RR)
% Number of literals : 613 ( 30 equ; 501 neg)
% Maximal clause size : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-5 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-9 aty)
% Number of variables : 292 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_921,plain,
( m2_relset_1(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ m1_nattra_1(X1,X2,X3,X5,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_921) ).
cnf(i_0_3848,negated_conjecture,
m1_nattra_1(esk677_0,esk669_0,esk671_0,esk674_0,esk675_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3848) ).
cnf(i_0_3857,negated_conjecture,
v2_cat_1(esk671_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3857) ).
cnf(i_0_3861,negated_conjecture,
v2_cat_1(esk669_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3861) ).
cnf(i_0_3856,negated_conjecture,
l1_cat_1(esk671_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3856) ).
cnf(i_0_3860,negated_conjecture,
l1_cat_1(esk669_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3860) ).
cnf(i_0_3853,negated_conjecture,
m2_cat_1(esk674_0,esk669_0,esk671_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3853) ).
cnf(i_0_3852,negated_conjecture,
m2_cat_1(esk675_0,esk669_0,esk671_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3852) ).
cnf(i_0_1282,plain,
( k14_funct_3(X1,X2,X3,X4,X5) = k13_funct_3(X4,X5)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X1,X3)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X5,X1,X3)
| ~ v1_funct_2(X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_1282) ).
cnf(i_0_96,plain,
( k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9) = k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_96) ).
cnf(i_0_923,plain,
( v1_funct_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X4,X3,X2)
| ~ m2_cat_1(X5,X3,X2)
| ~ m1_nattra_1(X1,X3,X2,X5,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_923) ).
cnf(i_0_922,plain,
( v1_funct_2(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ m1_nattra_1(X1,X2,X3,X5,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_922) ).
cnf(i_0_944,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u2_cat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_944) ).
cnf(i_0_1305,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_1305) ).
cnf(i_0_3849,negated_conjecture,
m1_nattra_1(esk676_0,esk669_0,esk670_0,esk672_0,esk673_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3849) ).
cnf(i_0_3859,negated_conjecture,
v2_cat_1(esk670_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3859) ).
cnf(i_0_3858,negated_conjecture,
l1_cat_1(esk670_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3858) ).
cnf(i_0_3855,negated_conjecture,
m2_cat_1(esk672_0,esk669_0,esk670_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3855) ).
cnf(i_0_3854,negated_conjecture,
m2_cat_1(esk673_0,esk669_0,esk670_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3854) ).
cnf(i_0_799,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| m2_relset_1(k14_funct_3(X3,X2,X1,X4,X5),X3,k2_zfmisc_1(X2,X1))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X3,X1)
| ~ m1_relset_1(X4,X3,X2)
| ~ v1_funct_2(X5,X3,X1)
| ~ v1_funct_2(X4,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_799) ).
cnf(i_0_3201,plain,
( k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)) = u2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3201) ).
cnf(i_0_3850,negated_conjecture,
r1_nattra_1(esk669_0,esk671_0,esk674_0,esk675_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3850) ).
cnf(i_0_3851,negated_conjecture,
r1_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3851) ).
cnf(i_0_1301,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_1301) ).
cnf(i_0_582,plain,
( k5_nattra_1(X1,X2,X3,X4,X5,X6) = k8_funct_2(u1_cat_1(X1),u2_cat_1(X2),X5,X6)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m1_subset_1(X6,u1_cat_1(X1))
| ~ r1_nattra_1(X1,X2,X3,X4)
| ~ m1_nattra_1(X5,X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_582) ).
cnf(i_0_943,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u1_cat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_943) ).
cnf(i_0_3846,negated_conjecture,
k5_nattra_1(esk669_0,k11_cat_2(esk670_0,esk671_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),k15_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk673_0,esk674_0,esk675_0,esk676_0,esk677_0),esk678_0) != k13_cat_2(esk670_0,esk671_0,k5_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0,esk676_0,esk678_0),k5_nattra_1(esk669_0,esk671_0,esk674_0,esk675_0,esk677_0,esk678_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3846) ).
cnf(i_0_807,plain,
( m1_nattra_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_807) ).
cnf(i_0_3847,negated_conjecture,
m1_subset_1(esk678_0,u1_cat_1(esk669_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3847) ).
cnf(i_0_773,plain,
( m2_cat_1(k10_isocat_2(X1,X2,X3,X4,X5),X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X1,X3)
| ~ m2_cat_1(X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_773) ).
cnf(i_0_775,plain,
( l1_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_775) ).
cnf(i_0_776,plain,
( v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_776) ).
cnf(i_0_3805,plain,
( r1_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X5),k10_isocat_2(X1,X2,X3,X6,X7))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X5,X1,X3)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ r1_nattra_1(X1,X3,X5,X7)
| ~ r1_nattra_1(X1,X2,X4,X6) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_3805) ).
cnf(i_0_1116,plain,
( k8_funct_2(u1_cat_1(X1),k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)),k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X4,X5),X6) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X7,X8,X4,X6),k5_nattra_1(X1,X3,X9,X10,X5,X6))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X10,X1,X3)
| ~ m2_cat_1(X9,X1,X3)
| ~ m2_cat_1(X8,X1,X2)
| ~ m2_cat_1(X7,X1,X2)
| ~ m1_subset_1(X6,u1_cat_1(X1))
| ~ r1_nattra_1(X1,X3,X9,X10)
| ~ r1_nattra_1(X1,X2,X7,X8)
| ~ m1_nattra_1(X5,X1,X3,X9,X10)
| ~ m1_nattra_1(X4,X1,X2,X7,X8) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_1116) ).
cnf(i_0_800,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_2(k14_funct_3(X3,X2,X1,X4,X5),X3,k2_zfmisc_1(X2,X1))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X3,X1)
| ~ m1_relset_1(X4,X3,X2)
| ~ v1_funct_2(X5,X3,X1)
| ~ v1_funct_2(X4,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3mhtb682/lgb.p',i_0_800) ).
cnf(c_0_3897,plain,
( m2_relset_1(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ m1_nattra_1(X1,X2,X3,X5,X4) ),
i_0_921 ).
cnf(c_0_3898,negated_conjecture,
m1_nattra_1(esk677_0,esk669_0,esk671_0,esk674_0,esk675_0),
i_0_3848 ).
cnf(c_0_3899,negated_conjecture,
v2_cat_1(esk671_0),
i_0_3857 ).
cnf(c_0_3900,negated_conjecture,
v2_cat_1(esk669_0),
i_0_3861 ).
cnf(c_0_3901,negated_conjecture,
l1_cat_1(esk671_0),
i_0_3856 ).
cnf(c_0_3902,negated_conjecture,
l1_cat_1(esk669_0),
i_0_3860 ).
cnf(c_0_3903,negated_conjecture,
m2_cat_1(esk674_0,esk669_0,esk671_0),
i_0_3853 ).
cnf(c_0_3904,negated_conjecture,
m2_cat_1(esk675_0,esk669_0,esk671_0),
i_0_3852 ).
cnf(c_0_3905,plain,
( k14_funct_3(X1,X2,X3,X4,X5) = k13_funct_3(X4,X5)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X1,X3)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X5,X1,X3)
| ~ v1_funct_2(X4,X1,X2) ),
i_0_1282 ).
cnf(c_0_3906,plain,
( k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9) = k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X8,X9)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5) ),
i_0_96 ).
cnf(c_0_3907,plain,
( v1_funct_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X4,X3,X2)
| ~ m2_cat_1(X5,X3,X2)
| ~ m1_nattra_1(X1,X3,X2,X5,X4) ),
i_0_923 ).
cnf(c_0_3908,plain,
( v1_funct_2(X1,u1_cat_1(X2),u2_cat_1(X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X2,X3)
| ~ m1_nattra_1(X1,X2,X3,X5,X4) ),
i_0_922 ).
cnf(c_0_3909,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u2_cat_1(X1)) ),
i_0_944 ).
cnf(c_0_3910,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1305 ).
cnf(c_0_3911,negated_conjecture,
m2_relset_1(esk677_0,u1_cat_1(esk669_0),u2_cat_1(esk671_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_3897,c_0_3898]),c_0_3899]),c_0_3900]),c_0_3901]),c_0_3902]),c_0_3903]),c_0_3904])]) ).
cnf(c_0_3912,negated_conjecture,
m1_nattra_1(esk676_0,esk669_0,esk670_0,esk672_0,esk673_0),
i_0_3849 ).
cnf(c_0_3913,negated_conjecture,
v2_cat_1(esk670_0),
i_0_3859 ).
cnf(c_0_3914,negated_conjecture,
l1_cat_1(esk670_0),
i_0_3858 ).
cnf(c_0_3915,negated_conjecture,
m2_cat_1(esk672_0,esk669_0,esk670_0),
i_0_3855 ).
cnf(c_0_3916,negated_conjecture,
m2_cat_1(esk673_0,esk669_0,esk670_0),
i_0_3854 ).
cnf(c_0_3917,plain,
( k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9) = k13_funct_3(X8,X9)
| ~ m1_relset_1(X9,u1_cat_1(X1),u2_cat_1(X3))
| ~ m1_relset_1(X8,u1_cat_1(X1),u2_cat_1(X2))
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ r1_nattra_1(X1,X3,X6,X7)
| ~ r1_nattra_1(X1,X2,X4,X5)
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3905,c_0_3906]),c_0_3907]),c_0_3907]),c_0_3908]),c_0_3908]),c_0_3909]),c_0_3909]) ).
cnf(c_0_3918,plain,
m1_relset_1(esk677_0,u1_cat_1(esk669_0),u2_cat_1(esk671_0)),
inference(spm,[status(thm)],[c_0_3910,c_0_3911]) ).
cnf(c_0_3919,negated_conjecture,
m2_relset_1(esk676_0,u1_cat_1(esk669_0),u2_cat_1(esk670_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_3897,c_0_3912]),c_0_3913]),c_0_3900]),c_0_3914]),c_0_3902]),c_0_3915]),c_0_3916])]) ).
cnf(c_0_3920,plain,
( k15_isocat_2(esk669_0,X1,esk671_0,X2,X3,X4,X5,X6,esk677_0) = k13_funct_3(X6,esk677_0)
| ~ m1_relset_1(X6,u1_cat_1(esk669_0),u2_cat_1(X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X5,esk669_0,esk671_0)
| ~ m2_cat_1(X4,esk669_0,esk671_0)
| ~ m2_cat_1(X3,esk669_0,X1)
| ~ m2_cat_1(X2,esk669_0,X1)
| ~ r1_nattra_1(esk669_0,esk671_0,X4,X5)
| ~ r1_nattra_1(esk669_0,X1,X2,X3)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X4,X5)
| ~ m1_nattra_1(X6,esk669_0,X1,X2,X3) ),
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_3917,c_0_3918]),c_0_3899]),c_0_3900]),c_0_3901]),c_0_3902])]) ).
cnf(c_0_3921,plain,
m1_relset_1(esk676_0,u1_cat_1(esk669_0),u2_cat_1(esk670_0)),
inference(spm,[status(thm)],[c_0_3910,c_0_3919]) ).
cnf(c_0_3922,plain,
( k15_isocat_2(esk669_0,esk670_0,esk671_0,X1,X2,X3,X4,esk676_0,esk677_0) = k13_funct_3(esk676_0,esk677_0)
| ~ m2_cat_1(X4,esk669_0,esk671_0)
| ~ m2_cat_1(X3,esk669_0,esk671_0)
| ~ m2_cat_1(X2,esk669_0,esk670_0)
| ~ m2_cat_1(X1,esk669_0,esk670_0)
| ~ r1_nattra_1(esk669_0,esk671_0,X3,X4)
| ~ r1_nattra_1(esk669_0,esk670_0,X1,X2)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X3,X4)
| ~ m1_nattra_1(esk676_0,esk669_0,esk670_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3920,c_0_3921]),c_0_3913]),c_0_3914])]) ).
cnf(c_0_3923,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| m2_relset_1(k14_funct_3(X3,X2,X1,X4,X5),X3,k2_zfmisc_1(X2,X1))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X3,X1)
| ~ m1_relset_1(X4,X3,X2)
| ~ v1_funct_2(X5,X3,X1)
| ~ v1_funct_2(X4,X3,X2) ),
i_0_799 ).
cnf(c_0_3924,plain,
( k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)) = u2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
i_0_3201 ).
cnf(c_0_3925,plain,
( k14_funct_3(u1_cat_1(esk669_0),u2_cat_1(esk670_0),u2_cat_1(esk671_0),esk676_0,esk677_0) = k13_funct_3(esk676_0,esk677_0)
| ~ m2_cat_1(X1,esk669_0,esk671_0)
| ~ m2_cat_1(X2,esk669_0,esk671_0)
| ~ m2_cat_1(X3,esk669_0,esk670_0)
| ~ m2_cat_1(X4,esk669_0,esk670_0)
| ~ r1_nattra_1(esk669_0,esk671_0,X2,X1)
| ~ r1_nattra_1(esk669_0,esk670_0,X4,X3)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X2,X1)
| ~ m1_nattra_1(esk676_0,esk669_0,esk670_0,X4,X3) ),
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_3906,c_0_3922]),c_0_3899]),c_0_3913]),c_0_3900]),c_0_3901]),c_0_3914]),c_0_3902])]) ).
cnf(c_0_3926,negated_conjecture,
r1_nattra_1(esk669_0,esk671_0,esk674_0,esk675_0),
i_0_3850 ).
cnf(c_0_3927,plain,
( m2_relset_1(k14_funct_3(X1,u2_cat_1(X2),u2_cat_1(X3),X4,X5),X1,u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_relset_1(X5,X1,u2_cat_1(X3))
| ~ m1_relset_1(X4,X1,u2_cat_1(X2))
| ~ v1_funct_2(X5,X1,u2_cat_1(X3))
| ~ v1_funct_2(X4,X1,u2_cat_1(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3923,c_0_3924]),c_0_3909]),c_0_3909]) ).
cnf(c_0_3928,negated_conjecture,
( k14_funct_3(u1_cat_1(esk669_0),u2_cat_1(esk670_0),u2_cat_1(esk671_0),esk676_0,esk677_0) = k13_funct_3(esk676_0,esk677_0)
| ~ m2_cat_1(X1,esk669_0,esk670_0)
| ~ m2_cat_1(X2,esk669_0,esk670_0)
| ~ r1_nattra_1(esk669_0,esk670_0,X2,X1)
| ~ m1_nattra_1(esk676_0,esk669_0,esk670_0,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3925,c_0_3926]),c_0_3904]),c_0_3903]),c_0_3898])]) ).
cnf(c_0_3929,negated_conjecture,
r1_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0),
i_0_3851 ).
cnf(c_0_3930,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
i_0_1301 ).
cnf(c_0_3931,plain,
( k5_nattra_1(X1,X2,X3,X4,X5,X6) = k8_funct_2(u1_cat_1(X1),u2_cat_1(X2),X5,X6)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m1_subset_1(X6,u1_cat_1(X1))
| ~ r1_nattra_1(X1,X2,X3,X4)
| ~ m1_nattra_1(X5,X1,X2,X3,X4) ),
i_0_582 ).
cnf(c_0_3932,plain,
( ~ l1_cat_1(X1)
| ~ v1_xboole_0(u1_cat_1(X1)) ),
i_0_943 ).
cnf(c_0_3933,plain,
( m1_relset_1(k14_funct_3(X1,u2_cat_1(X2),u2_cat_1(X3),X4,X5),X1,u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_relset_1(X5,X1,u2_cat_1(X3))
| ~ m1_relset_1(X4,X1,u2_cat_1(X2))
| ~ v1_funct_2(X5,X1,u2_cat_1(X3))
| ~ v1_funct_2(X4,X1,u2_cat_1(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_3910,c_0_3927]) ).
cnf(c_0_3934,negated_conjecture,
k14_funct_3(u1_cat_1(esk669_0),u2_cat_1(esk670_0),u2_cat_1(esk671_0),esk676_0,esk677_0) = k13_funct_3(esk676_0,esk677_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3928,c_0_3929]),c_0_3916]),c_0_3915]),c_0_3912])]) ).
cnf(c_0_3935,negated_conjecture,
v1_funct_2(esk677_0,u1_cat_1(esk669_0),u2_cat_1(esk671_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_3908,c_0_3898]),c_0_3899]),c_0_3900]),c_0_3901]),c_0_3902]),c_0_3903]),c_0_3904])]) ).
cnf(c_0_3936,negated_conjecture,
v1_funct_2(esk676_0,u1_cat_1(esk669_0),u2_cat_1(esk670_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_3908,c_0_3912]),c_0_3913]),c_0_3900]),c_0_3914]),c_0_3902]),c_0_3915]),c_0_3916])]) ).
cnf(c_0_3937,negated_conjecture,
v1_funct_1(esk677_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_3907,c_0_3898]),c_0_3900]),c_0_3899]),c_0_3902]),c_0_3901]),c_0_3903]),c_0_3904])]) ).
cnf(c_0_3938,negated_conjecture,
v1_funct_1(esk676_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_3907,c_0_3912]),c_0_3900]),c_0_3913]),c_0_3902]),c_0_3914]),c_0_3915]),c_0_3916])]) ).
cnf(c_0_3939,negated_conjecture,
k5_nattra_1(esk669_0,k11_cat_2(esk670_0,esk671_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),k15_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk673_0,esk674_0,esk675_0,esk676_0,esk677_0),esk678_0) != k13_cat_2(esk670_0,esk671_0,k5_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0,esk676_0,esk678_0),k5_nattra_1(esk669_0,esk671_0,esk674_0,esk675_0,esk677_0,esk678_0)),
i_0_3846 ).
cnf(c_0_3940,plain,
( k5_nattra_1(X1,X2,X3,X4,X5,X6) = k1_funct_1(X5,X6)
| ~ m1_relset_1(X5,u1_cat_1(X1),u2_cat_1(X2))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ r1_nattra_1(X1,X2,X3,X4)
| ~ m1_nattra_1(X5,X1,X2,X3,X4)
| ~ m1_subset_1(X6,u1_cat_1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3930,c_0_3931]),c_0_3907]),c_0_3908]),c_0_3932]) ).
cnf(c_0_3941,plain,
m1_relset_1(k13_funct_3(esk676_0,esk677_0),u1_cat_1(esk669_0),u2_cat_1(k11_cat_2(esk670_0,esk671_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3933,c_0_3934]),c_0_3918]),c_0_3921]),c_0_3935]),c_0_3936]),c_0_3937]),c_0_3938]),c_0_3899]),c_0_3913]),c_0_3901]),c_0_3914])]) ).
cnf(c_0_3942,plain,
( m1_nattra_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9),X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X6),k10_isocat_2(X1,X2,X3,X5,X7))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5) ),
i_0_807 ).
cnf(c_0_3943,negated_conjecture,
k5_nattra_1(esk669_0,k11_cat_2(esk670_0,esk671_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),k13_funct_3(esk676_0,esk677_0),esk678_0) != k13_cat_2(esk670_0,esk671_0,k5_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0,esk676_0,esk678_0),k5_nattra_1(esk669_0,esk671_0,esk674_0,esk675_0,esk677_0,esk678_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3939,c_0_3922]),c_0_3904]),c_0_3903]),c_0_3916]),c_0_3915]),c_0_3926]),c_0_3929]),c_0_3898]),c_0_3912])]) ).
cnf(c_0_3944,plain,
( k5_nattra_1(esk669_0,k11_cat_2(esk670_0,esk671_0),X1,X2,k13_funct_3(esk676_0,esk677_0),X3) = k1_funct_1(k13_funct_3(esk676_0,esk677_0),X3)
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(X2,esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(X1,esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ r1_nattra_1(esk669_0,k11_cat_2(esk670_0,esk671_0),X1,X2)
| ~ m1_nattra_1(k13_funct_3(esk676_0,esk677_0),esk669_0,k11_cat_2(esk670_0,esk671_0),X1,X2)
| ~ m1_subset_1(X3,u1_cat_1(esk669_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3940,c_0_3941]),c_0_3900]),c_0_3902])]) ).
cnf(c_0_3945,negated_conjecture,
m1_subset_1(esk678_0,u1_cat_1(esk669_0)),
i_0_3847 ).
cnf(c_0_3946,plain,
( m1_nattra_1(k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X4,X5),X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X6,X7),k10_isocat_2(X1,X2,X3,X8,X9))
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X9,X1,X3)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X8,X1,X2)
| ~ m2_cat_1(X6,X1,X2)
| ~ r1_nattra_1(X1,X3,X7,X9)
| ~ r1_nattra_1(X1,X2,X6,X8)
| ~ m1_nattra_1(X5,X1,X3,X7,X9)
| ~ m1_nattra_1(X4,X1,X2,X6,X8) ),
inference(spm,[status(thm)],[c_0_3942,c_0_3906]) ).
cnf(c_0_3947,negated_conjecture,
( k13_cat_2(esk670_0,esk671_0,k5_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0,esk676_0,esk678_0),k5_nattra_1(esk669_0,esk671_0,esk674_0,esk675_0,esk677_0,esk678_0)) != k1_funct_1(k13_funct_3(esk676_0,esk677_0),esk678_0)
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ r1_nattra_1(esk669_0,k11_cat_2(esk670_0,esk671_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0))
| ~ m1_nattra_1(k13_funct_3(esk676_0,esk677_0),esk669_0,k11_cat_2(esk670_0,esk671_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3943,c_0_3944]),c_0_3945])]) ).
cnf(c_0_3948,plain,
( m1_nattra_1(k13_funct_3(X1,X2),X3,k11_cat_2(X4,X5),k10_isocat_2(X3,X4,X5,X6,X7),k10_isocat_2(X3,X4,X5,X8,X9))
| ~ m1_relset_1(X2,u1_cat_1(X3),u2_cat_1(X5))
| ~ m1_relset_1(X1,u1_cat_1(X3),u2_cat_1(X4))
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X9,X3,X5)
| ~ m2_cat_1(X7,X3,X5)
| ~ m2_cat_1(X8,X3,X4)
| ~ m2_cat_1(X6,X3,X4)
| ~ r1_nattra_1(X3,X5,X7,X9)
| ~ r1_nattra_1(X3,X4,X6,X8)
| ~ m1_nattra_1(X2,X3,X5,X7,X9)
| ~ m1_nattra_1(X1,X3,X4,X6,X8) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3946,c_0_3905]),c_0_3907]),c_0_3907]),c_0_3908]),c_0_3908]),c_0_3909]),c_0_3909]) ).
cnf(c_0_3949,plain,
( m2_cat_1(k10_isocat_2(X1,X2,X3,X4,X5),X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X1,X3)
| ~ m2_cat_1(X4,X1,X2) ),
i_0_773 ).
cnf(c_0_3950,plain,
( l1_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
i_0_775 ).
cnf(c_0_3951,plain,
( v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
i_0_776 ).
cnf(c_0_3952,plain,
( k13_cat_2(esk670_0,esk671_0,k5_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0,esk676_0,esk678_0),k5_nattra_1(esk669_0,esk671_0,esk674_0,esk675_0,esk677_0,esk678_0)) != k1_funct_1(k13_funct_3(esk676_0,esk677_0),esk678_0)
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ r1_nattra_1(esk669_0,k11_cat_2(esk670_0,esk671_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_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(rw,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3947,c_0_3948]),c_0_3918]),c_0_3921]),c_0_3899]),c_0_3913]),c_0_3900]),c_0_3901]),c_0_3914]),c_0_3902]),c_0_3904]),c_0_3903]),c_0_3916]),c_0_3915]),c_0_3926]),c_0_3929]),c_0_3898]),c_0_3912])]) ).
cnf(c_0_3953,plain,
( r1_nattra_1(X1,k11_cat_2(X2,X3),k10_isocat_2(X1,X2,X3,X4,X5),k10_isocat_2(X1,X2,X3,X6,X7))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X5,X1,X3)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ r1_nattra_1(X1,X3,X5,X7)
| ~ r1_nattra_1(X1,X2,X4,X6) ),
i_0_3805 ).
cnf(c_0_3954,plain,
( v1_funct_1(k15_isocat_2(X1,X2,X3,X4,X5,X6,X7,X8,X9))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X7,X1,X3)
| ~ m2_cat_1(X6,X1,X3)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m1_nattra_1(X9,X1,X3,X6,X7)
| ~ m1_nattra_1(X8,X1,X2,X4,X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3907,c_0_3942]),c_0_3949]),c_0_3949]),c_0_3950]),c_0_3951]) ).
cnf(c_0_3955,plain,
( k13_cat_2(esk670_0,esk671_0,k5_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0,esk676_0,esk678_0),k5_nattra_1(esk669_0,esk671_0,esk674_0,esk675_0,esk677_0,esk678_0)) != k1_funct_1(k13_funct_3(esk676_0,esk677_0),esk678_0)
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),esk669_0,k11_cat_2(esk670_0,esk671_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(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_3952,c_0_3953]),c_0_3899]),c_0_3913]),c_0_3900]),c_0_3901]),c_0_3914]),c_0_3902]),c_0_3904]),c_0_3916]),c_0_3903]),c_0_3915]),c_0_3926]),c_0_3929])]) ).
cnf(c_0_3956,plain,
( k5_nattra_1(X1,X2,X3,X4,X5,X6) = k5_nattra_1(X1,X2,X7,X8,X5,X6)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X8,X1,X2)
| ~ m2_cat_1(X7,X1,X2)
| ~ r1_nattra_1(X1,X2,X3,X4)
| ~ r1_nattra_1(X1,X2,X7,X8)
| ~ m1_nattra_1(X5,X1,X2,X3,X4)
| ~ m1_nattra_1(X5,X1,X2,X7,X8)
| ~ m1_subset_1(X6,u1_cat_1(X1)) ),
inference(spm,[status(thm)],[c_0_3931,c_0_3931]) ).
cnf(c_0_3957,plain,
( k8_funct_2(u1_cat_1(X1),k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)),k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X4,X5),X6) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X7,X8,X4,X6),k5_nattra_1(X1,X3,X9,X10,X5,X6))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X10,X1,X3)
| ~ m2_cat_1(X9,X1,X3)
| ~ m2_cat_1(X8,X1,X2)
| ~ m2_cat_1(X7,X1,X2)
| ~ m1_subset_1(X6,u1_cat_1(X1))
| ~ r1_nattra_1(X1,X3,X9,X10)
| ~ r1_nattra_1(X1,X2,X7,X8)
| ~ m1_nattra_1(X5,X1,X3,X9,X10)
| ~ m1_nattra_1(X4,X1,X2,X7,X8) ),
i_0_1116 ).
cnf(c_0_3958,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_2(k14_funct_3(X3,X2,X1,X4,X5),X3,k2_zfmisc_1(X2,X1))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X3,X1)
| ~ m1_relset_1(X4,X3,X2)
| ~ v1_funct_2(X5,X3,X1)
| ~ v1_funct_2(X4,X3,X2) ),
i_0_800 ).
cnf(c_0_3959,plain,
( v1_funct_1(k13_funct_3(esk676_0,esk677_0))
| ~ m2_cat_1(X1,esk669_0,esk671_0)
| ~ m2_cat_1(X2,esk669_0,esk671_0)
| ~ m2_cat_1(X3,esk669_0,esk670_0)
| ~ m2_cat_1(X4,esk669_0,esk670_0)
| ~ r1_nattra_1(esk669_0,esk671_0,X2,X1)
| ~ r1_nattra_1(esk669_0,esk670_0,X4,X3)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X2,X1)
| ~ m1_nattra_1(esk676_0,esk669_0,esk670_0,X4,X3) ),
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_3954,c_0_3922]),c_0_3900]),c_0_3899]),c_0_3913]),c_0_3902]),c_0_3901]),c_0_3914])]) ).
cnf(c_0_3960,plain,
( k13_cat_2(esk670_0,esk671_0,k5_nattra_1(esk669_0,esk670_0,esk672_0,esk673_0,esk676_0,esk678_0),k5_nattra_1(esk669_0,esk671_0,X1,X2,esk677_0,esk678_0)) != k1_funct_1(k13_funct_3(esk676_0,esk677_0),esk678_0)
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(X2,esk669_0,esk671_0)
| ~ m2_cat_1(X1,esk669_0,esk671_0)
| ~ r1_nattra_1(esk669_0,esk671_0,X1,X2)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X1,X2) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3955,c_0_3956]),c_0_3899]),c_0_3900]),c_0_3901]),c_0_3902]),c_0_3904]),c_0_3903]),c_0_3926]),c_0_3898]),c_0_3945])]) ).
cnf(c_0_3961,plain,
( k8_funct_2(u1_cat_1(X1),u2_cat_1(k11_cat_2(X2,X3)),k14_funct_3(u1_cat_1(X1),u2_cat_1(X2),u2_cat_1(X3),X4,X5),X6) = k13_cat_2(X2,X3,k5_nattra_1(X1,X2,X7,X8,X4,X6),k5_nattra_1(X1,X3,X9,X10,X5,X6))
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X10,X1,X3)
| ~ m2_cat_1(X9,X1,X3)
| ~ m2_cat_1(X8,X1,X2)
| ~ m2_cat_1(X7,X1,X2)
| ~ r1_nattra_1(X1,X3,X9,X10)
| ~ r1_nattra_1(X1,X2,X7,X8)
| ~ m1_nattra_1(X5,X1,X3,X9,X10)
| ~ m1_nattra_1(X4,X1,X2,X7,X8)
| ~ m1_subset_1(X6,u1_cat_1(X1)) ),
inference(spm,[status(thm)],[c_0_3957,c_0_3924]) ).
cnf(c_0_3962,plain,
( v1_funct_2(k14_funct_3(X1,u2_cat_1(X2),u2_cat_1(X3),X4,X5),X1,u2_cat_1(k11_cat_2(X2,X3)))
| ~ m1_relset_1(X5,X1,u2_cat_1(X3))
| ~ m1_relset_1(X4,X1,u2_cat_1(X2))
| ~ v1_funct_2(X5,X1,u2_cat_1(X3))
| ~ v1_funct_2(X4,X1,u2_cat_1(X2))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3958,c_0_3924]),c_0_3909]),c_0_3909]) ).
cnf(c_0_3963,negated_conjecture,
( v1_funct_1(k13_funct_3(esk676_0,esk677_0))
| ~ m2_cat_1(X1,esk669_0,esk670_0)
| ~ m2_cat_1(X2,esk669_0,esk670_0)
| ~ r1_nattra_1(esk669_0,esk670_0,X2,X1)
| ~ m1_nattra_1(esk676_0,esk669_0,esk670_0,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3959,c_0_3926]),c_0_3904]),c_0_3903]),c_0_3898])]) ).
cnf(c_0_3964,plain,
( k8_funct_2(u1_cat_1(esk669_0),u2_cat_1(k11_cat_2(esk670_0,esk671_0)),k13_funct_3(esk676_0,esk677_0),esk678_0) != k1_funct_1(k13_funct_3(esk676_0,esk677_0),esk678_0)
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(X1,esk669_0,esk671_0)
| ~ m2_cat_1(X2,esk669_0,esk671_0)
| ~ r1_nattra_1(esk669_0,esk671_0,X2,X1)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X2,X1) ),
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(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_3960,c_0_3961]),c_0_3934]),c_0_3899]),c_0_3913]),c_0_3900]),c_0_3901]),c_0_3914]),c_0_3902]),c_0_3916]),c_0_3915]),c_0_3929]),c_0_3912]),c_0_3945])]) ).
cnf(c_0_3965,plain,
v1_funct_2(k13_funct_3(esk676_0,esk677_0),u1_cat_1(esk669_0),u2_cat_1(k11_cat_2(esk670_0,esk671_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3962,c_0_3934]),c_0_3918]),c_0_3921]),c_0_3935]),c_0_3936]),c_0_3937]),c_0_3938]),c_0_3899]),c_0_3913]),c_0_3901]),c_0_3914])]) ).
cnf(c_0_3966,negated_conjecture,
v1_funct_1(k13_funct_3(esk676_0,esk677_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3963,c_0_3929]),c_0_3916]),c_0_3915]),c_0_3912])]) ).
cnf(c_0_3967,plain,
( v1_xboole_0(u1_cat_1(esk669_0))
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk673_0,esk675_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(X1,esk669_0,esk671_0)
| ~ m2_cat_1(X2,esk669_0,esk671_0)
| ~ r1_nattra_1(esk669_0,esk671_0,X2,X1)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X2,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_3964,c_0_3930]),c_0_3941]),c_0_3965]),c_0_3966]),c_0_3945])]) ).
cnf(c_0_3968,plain,
( v1_xboole_0(u1_cat_1(esk669_0))
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(k10_isocat_2(esk669_0,esk670_0,esk671_0,esk672_0,esk674_0),esk669_0,k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(X1,esk669_0,esk671_0)
| ~ m2_cat_1(X2,esk669_0,esk671_0)
| ~ r1_nattra_1(esk669_0,esk671_0,X2,X1)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X2,X1) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3967,c_0_3949]),c_0_3899]),c_0_3913]),c_0_3900]),c_0_3901]),c_0_3914]),c_0_3902]),c_0_3904]),c_0_3916])]) ).
cnf(c_0_3969,plain,
( v1_xboole_0(u1_cat_1(esk669_0))
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ m2_cat_1(X1,esk669_0,esk671_0)
| ~ m2_cat_1(X2,esk669_0,esk671_0)
| ~ r1_nattra_1(esk669_0,esk671_0,X2,X1)
| ~ m1_nattra_1(esk677_0,esk669_0,esk671_0,X2,X1) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3968,c_0_3949]),c_0_3899]),c_0_3913]),c_0_3900]),c_0_3901]),c_0_3914]),c_0_3902]),c_0_3903]),c_0_3915])]) ).
cnf(c_0_3970,negated_conjecture,
( v1_xboole_0(u1_cat_1(esk669_0))
| ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3969,c_0_3926]),c_0_3904]),c_0_3903]),c_0_3898])]) ).
cnf(c_0_3971,plain,
( ~ v2_cat_1(k11_cat_2(esk670_0,esk671_0))
| ~ l1_cat_1(k11_cat_2(esk670_0,esk671_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3932,c_0_3970]),c_0_3902])]) ).
cnf(c_0_3972,plain,
~ l1_cat_1(k11_cat_2(esk670_0,esk671_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_3971,c_0_3951]),c_0_3899]),c_0_3913]),c_0_3901]),c_0_3914])]) ).
cnf(c_0_3973,plain,
$false,
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_3972,c_0_3950]),c_0_3899]),c_0_3913]),c_0_3901]),c_0_3914])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT031+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 21:38:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 1.27/1.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.27/1.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.27/1.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.27/1.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 26.50/7.73 # ENIGMATIC: Solved by autoschedule-lgb:
% 26.50/7.73 # No SInE strategy applied
% 26.50/7.73 # Trying AutoSched0 for 149 seconds
% 26.50/7.73 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 26.50/7.73 # and selection function SelectMaxLComplexAvoidPosPred.
% 26.50/7.73 #
% 26.50/7.73 # Preprocessing time : 0.063 s
% 26.50/7.73
% 26.50/7.73 # Proof found!
% 26.50/7.73 # SZS status Theorem
% 26.50/7.73 # SZS output start CNFRefutation
% See solution above
% 26.50/7.73 # Training examples: 0 positive, 0 negative
% 26.50/7.73
% 26.50/7.73 # -------------------------------------------------
% 26.50/7.73 # User time : 1.702 s
% 26.50/7.73 # System time : 0.029 s
% 26.50/7.73 # Total time : 1.731 s
% 26.50/7.73 # Maximum resident set size: 7128 pages
% 26.50/7.73
%------------------------------------------------------------------------------