TSTP Solution File: SEU297+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU297+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 : Tue Jul 19 08:40:32 EDT 2022
% Result : Theorem 11.78s 3.56s
% Output : CNFRefutation 11.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of clauses : 73 ( 14 unt; 42 nHn; 66 RR)
% Number of literals : 289 ( 68 equ; 174 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 144 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_951,plain,
( esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| in(X4,esk197_3(X1,X2,X3))
| X5 != X4
| ~ function(X3)
| ~ relation(X3)
| ~ in(relation_image(X3,X4),X2)
| ~ in(X5,powerset(relation_dom(X3)))
| ~ element(X2,powerset(powerset(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_951) ).
cnf(i_0_1034,negated_conjecture,
element(esk220_0,powerset(powerset(esk219_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_1034) ).
cnf(i_0_1030,negated_conjecture,
( in(esk222_1(X1),X1)
| in(esk222_1(X1),powerset(relation_dom(esk221_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_1030) ).
cnf(i_0_1033,negated_conjecture,
relation(esk221_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_1033) ).
cnf(i_0_1032,negated_conjecture,
function(esk221_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_1032) ).
cnf(i_0_1029,negated_conjecture,
( in(esk222_1(X1),X1)
| in(relation_image(esk221_0,esk222_1(X1)),esk220_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_1029) ).
cnf(i_0_952,plain,
( esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_952) ).
cnf(i_0_954,plain,
( esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| in(esk198_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_954) ).
cnf(i_0_953,plain,
( esk198_4(X1,X2,X3,X4) = X4
| esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_953) ).
cnf(i_0_943,plain,
( esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| in(X4,esk197_3(X1,X2,X3))
| X5 != X4
| ~ function(X3)
| ~ relation(X3)
| ~ in(relation_image(X3,X4),X2)
| ~ in(X5,powerset(relation_dom(X3)))
| ~ element(X2,powerset(powerset(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_943) ).
cnf(i_0_1031,negated_conjecture,
( ~ in(esk222_1(X1),X1)
| ~ in(esk222_1(X1),powerset(relation_dom(esk221_0)))
| ~ in(relation_image(esk221_0,esk222_1(X1)),esk220_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_1031) ).
cnf(i_0_944,plain,
( esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_944) ).
cnf(i_0_946,plain,
( esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| in(esk198_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_946) ).
cnf(i_0_945,plain,
( esk198_4(X1,X2,X3,X4) = X4
| esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_945) ).
cnf(i_0_935,plain,
( in(X1,esk197_3(X2,X3,X4))
| X5 != X1
| esk196_3(X2,X3,X4) != esk195_3(X2,X3,X4)
| ~ function(X4)
| ~ relation(X4)
| ~ in(relation_image(X4,X1),X3)
| ~ in(X5,powerset(relation_dom(X4)))
| ~ element(X3,powerset(powerset(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_935) ).
cnf(i_0_936,plain,
( in(relation_image(X1,X2),X3)
| esk196_3(X4,X3,X1) != esk195_3(X4,X3,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X3,powerset(powerset(X4)))
| ~ in(X2,esk197_3(X4,X3,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_936) ).
cnf(i_0_938,plain,
( in(esk198_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk196_3(X1,X2,X3) != esk195_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_938) ).
cnf(i_0_937,plain,
( esk198_4(X1,X2,X3,X4) = X4
| esk196_3(X1,X2,X3) != esk195_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zq58sa15/lgb.p',i_0_937) ).
cnf(c_0_1053,plain,
( esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| in(X4,esk197_3(X1,X2,X3))
| X5 != X4
| ~ function(X3)
| ~ relation(X3)
| ~ in(relation_image(X3,X4),X2)
| ~ in(X5,powerset(relation_dom(X3)))
| ~ element(X2,powerset(powerset(X1))) ),
i_0_951 ).
cnf(c_0_1054,plain,
( esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| in(X4,esk197_3(X1,X2,X3))
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2) ),
inference(er,[status(thm)],[c_0_1053]) ).
cnf(c_0_1055,negated_conjecture,
element(esk220_0,powerset(powerset(esk219_0))),
i_0_1034 ).
cnf(c_0_1056,negated_conjecture,
( esk194_3(esk219_0,esk220_0,X1) = esk195_3(esk219_0,esk220_0,X1)
| in(X2,esk197_3(esk219_0,esk220_0,X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,powerset(relation_dom(X1)))
| ~ in(relation_image(X1,X2),esk220_0) ),
inference(spm,[status(thm)],[c_0_1054,c_0_1055]) ).
cnf(c_0_1057,negated_conjecture,
( in(esk222_1(X1),X1)
| in(esk222_1(X1),powerset(relation_dom(esk221_0))) ),
i_0_1030 ).
cnf(c_0_1058,negated_conjecture,
relation(esk221_0),
i_0_1033 ).
cnf(c_0_1059,negated_conjecture,
function(esk221_0),
i_0_1032 ).
cnf(c_0_1060,negated_conjecture,
( in(esk222_1(X1),X1)
| in(relation_image(esk221_0,esk222_1(X1)),esk220_0) ),
i_0_1029 ).
cnf(c_0_1061,plain,
( esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
i_0_952 ).
cnf(c_0_1062,negated_conjecture,
( esk194_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| in(esk222_1(X1),esk197_3(esk219_0,esk220_0,esk221_0))
| in(esk222_1(X1),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1056,c_0_1057]),c_0_1058]),c_0_1059])]),c_0_1060]) ).
cnf(c_0_1063,plain,
( esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| in(esk198_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
i_0_954 ).
cnf(c_0_1064,plain,
( esk198_4(X1,X2,X3,X4) = X4
| esk194_3(X1,X2,X3) = esk195_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
i_0_953 ).
cnf(c_0_1065,negated_conjecture,
( esk194_3(esk219_0,esk220_0,X1) = esk195_3(esk219_0,esk220_0,X1)
| in(relation_image(X1,X2),esk220_0)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,esk197_3(esk219_0,esk220_0,X1)) ),
inference(spm,[status(thm)],[c_0_1061,c_0_1055]) ).
cnf(c_0_1066,negated_conjecture,
( esk194_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| in(esk222_1(esk197_3(esk219_0,esk220_0,esk221_0)),esk197_3(esk219_0,esk220_0,esk221_0)) ),
inference(ef,[status(thm)],[c_0_1062]) ).
cnf(c_0_1067,plain,
( esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| in(X4,esk197_3(X1,X2,X3))
| X5 != X4
| ~ function(X3)
| ~ relation(X3)
| ~ in(relation_image(X3,X4),X2)
| ~ in(X5,powerset(relation_dom(X3)))
| ~ element(X2,powerset(powerset(X1))) ),
i_0_943 ).
cnf(c_0_1068,negated_conjecture,
( esk194_3(esk219_0,esk220_0,X1) = esk195_3(esk219_0,esk220_0,X1)
| in(esk198_4(esk219_0,esk220_0,X1,X2),powerset(relation_dom(X1)))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,esk197_3(esk219_0,esk220_0,X1)) ),
inference(spm,[status(thm)],[c_0_1063,c_0_1055]) ).
cnf(c_0_1069,negated_conjecture,
( esk194_3(esk219_0,esk220_0,X1) = esk195_3(esk219_0,esk220_0,X1)
| esk198_4(esk219_0,esk220_0,X1,X2) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,esk197_3(esk219_0,esk220_0,X1)) ),
inference(spm,[status(thm)],[c_0_1064,c_0_1055]) ).
cnf(c_0_1070,negated_conjecture,
( ~ in(esk222_1(X1),X1)
| ~ in(esk222_1(X1),powerset(relation_dom(esk221_0)))
| ~ in(relation_image(esk221_0,esk222_1(X1)),esk220_0) ),
i_0_1031 ).
cnf(c_0_1071,negated_conjecture,
( esk194_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| in(relation_image(esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))),esk220_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1065,c_0_1066]),c_0_1058]),c_0_1059])]) ).
cnf(c_0_1072,plain,
( esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| in(X4,esk197_3(X1,X2,X3))
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2) ),
inference(er,[status(thm)],[c_0_1067]) ).
cnf(c_0_1073,negated_conjecture,
( esk194_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| in(esk198_4(esk219_0,esk220_0,esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))),powerset(relation_dom(esk221_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1068,c_0_1066]),c_0_1058]),c_0_1059])]) ).
cnf(c_0_1074,negated_conjecture,
( esk198_4(esk219_0,esk220_0,esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))) = esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))
| esk194_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1069,c_0_1066]),c_0_1058]),c_0_1059])]) ).
cnf(c_0_1075,negated_conjecture,
( esk194_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| ~ in(esk222_1(esk197_3(esk219_0,esk220_0,esk221_0)),powerset(relation_dom(esk221_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_1066]),c_0_1071]) ).
cnf(c_0_1076,plain,
( esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
i_0_944 ).
cnf(c_0_1077,negated_conjecture,
( esk196_3(esk219_0,esk220_0,X1) = esk194_3(esk219_0,esk220_0,X1)
| in(X2,esk197_3(esk219_0,esk220_0,X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,powerset(relation_dom(X1)))
| ~ in(relation_image(X1,X2),esk220_0) ),
inference(spm,[status(thm)],[c_0_1072,c_0_1055]) ).
cnf(c_0_1078,negated_conjecture,
esk194_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1073,c_0_1074]),c_0_1075]) ).
cnf(c_0_1079,negated_conjecture,
( esk196_3(esk219_0,esk220_0,X1) = esk194_3(esk219_0,esk220_0,X1)
| in(relation_image(X1,X2),esk220_0)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,esk197_3(esk219_0,esk220_0,X1)) ),
inference(spm,[status(thm)],[c_0_1076,c_0_1055]) ).
cnf(c_0_1080,plain,
( esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| in(esk198_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
i_0_946 ).
cnf(c_0_1081,negated_conjecture,
( esk196_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| in(esk222_1(X1),esk197_3(esk219_0,esk220_0,esk221_0))
| in(esk222_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1077,c_0_1057]),c_0_1058]),c_0_1059])]),c_0_1078]),c_0_1060]) ).
cnf(c_0_1082,plain,
( esk198_4(X1,X2,X3,X4) = X4
| esk196_3(X1,X2,X3) = esk194_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
i_0_945 ).
cnf(c_0_1083,negated_conjecture,
( esk196_3(esk219_0,esk220_0,X1) = esk194_3(esk219_0,esk220_0,X1)
| in(relation_image(esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,X1))),esk220_0)
| in(relation_image(X1,esk222_1(esk197_3(esk219_0,esk220_0,X1))),esk220_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_1079,c_0_1060]) ).
cnf(c_0_1084,negated_conjecture,
( esk196_3(esk219_0,esk220_0,X1) = esk194_3(esk219_0,esk220_0,X1)
| in(esk198_4(esk219_0,esk220_0,X1,X2),powerset(relation_dom(X1)))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,esk197_3(esk219_0,esk220_0,X1)) ),
inference(spm,[status(thm)],[c_0_1080,c_0_1055]) ).
cnf(c_0_1085,negated_conjecture,
( esk196_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| in(esk222_1(esk197_3(esk219_0,esk220_0,esk221_0)),esk197_3(esk219_0,esk220_0,esk221_0)) ),
inference(ef,[status(thm)],[c_0_1081]) ).
cnf(c_0_1086,negated_conjecture,
( esk196_3(esk219_0,esk220_0,X1) = esk194_3(esk219_0,esk220_0,X1)
| esk198_4(esk219_0,esk220_0,X1,X2) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,esk197_3(esk219_0,esk220_0,X1)) ),
inference(spm,[status(thm)],[c_0_1082,c_0_1055]) ).
cnf(c_0_1087,negated_conjecture,
( esk196_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| in(relation_image(esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))),esk220_0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1083,c_0_1059]),c_0_1058])]),c_0_1078]) ).
cnf(c_0_1088,plain,
( in(X1,esk197_3(X2,X3,X4))
| X5 != X1
| esk196_3(X2,X3,X4) != esk195_3(X2,X3,X4)
| ~ function(X4)
| ~ relation(X4)
| ~ in(relation_image(X4,X1),X3)
| ~ in(X5,powerset(relation_dom(X4)))
| ~ element(X3,powerset(powerset(X2))) ),
i_0_935 ).
cnf(c_0_1089,negated_conjecture,
( esk196_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| in(esk198_4(esk219_0,esk220_0,esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))),powerset(relation_dom(esk221_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1084,c_0_1085]),c_0_1078]),c_0_1058]),c_0_1059])]) ).
cnf(c_0_1090,negated_conjecture,
( esk198_4(esk219_0,esk220_0,esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))) = esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))
| esk196_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1086,c_0_1085]),c_0_1078]),c_0_1058]),c_0_1059])]) ).
cnf(c_0_1091,negated_conjecture,
( esk196_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0)
| ~ in(esk222_1(esk197_3(esk219_0,esk220_0,esk221_0)),powerset(relation_dom(esk221_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_1085]),c_0_1087]) ).
cnf(c_0_1092,plain,
( in(X1,esk197_3(X2,X3,X4))
| esk196_3(X2,X3,X4) != esk195_3(X2,X3,X4)
| ~ relation(X4)
| ~ function(X4)
| ~ element(X3,powerset(powerset(X2)))
| ~ in(X1,powerset(relation_dom(X4)))
| ~ in(relation_image(X4,X1),X3) ),
inference(er,[status(thm)],[c_0_1088]) ).
cnf(c_0_1093,negated_conjecture,
esk196_3(esk219_0,esk220_0,esk221_0) = esk195_3(esk219_0,esk220_0,esk221_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1089,c_0_1090]),c_0_1091]) ).
cnf(c_0_1094,plain,
( in(X1,esk197_3(esk219_0,esk220_0,esk221_0))
| ~ in(X1,powerset(relation_dom(esk221_0)))
| ~ in(relation_image(esk221_0,X1),esk220_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1092,c_0_1093]),c_0_1058]),c_0_1059]),c_0_1055])]) ).
cnf(c_0_1095,plain,
( in(relation_image(X1,X2),X3)
| esk196_3(X4,X3,X1) != esk195_3(X4,X3,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X3,powerset(powerset(X4)))
| ~ in(X2,esk197_3(X4,X3,X1)) ),
i_0_936 ).
cnf(c_0_1096,negated_conjecture,
( in(esk222_1(X1),esk197_3(esk219_0,esk220_0,esk221_0))
| in(esk222_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1094,c_0_1057]),c_0_1060]) ).
cnf(c_0_1097,plain,
( in(esk198_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk196_3(X1,X2,X3) != esk195_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
i_0_938 ).
cnf(c_0_1098,plain,
( esk198_4(X1,X2,X3,X4) = X4
| esk196_3(X1,X2,X3) != esk195_3(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk197_3(X1,X2,X3)) ),
i_0_937 ).
cnf(c_0_1099,plain,
( in(relation_image(esk221_0,X1),esk220_0)
| ~ in(X1,esk197_3(esk219_0,esk220_0,esk221_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_1093]),c_0_1058]),c_0_1059]),c_0_1055])]) ).
cnf(c_0_1100,negated_conjecture,
in(esk222_1(esk197_3(esk219_0,esk220_0,esk221_0)),esk197_3(esk219_0,esk220_0,esk221_0)),
inference(ef,[status(thm)],[c_0_1096]) ).
cnf(c_0_1101,plain,
( in(esk198_4(esk219_0,esk220_0,esk221_0,X1),powerset(relation_dom(esk221_0)))
| ~ in(X1,esk197_3(esk219_0,esk220_0,esk221_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1097,c_0_1093]),c_0_1058]),c_0_1059]),c_0_1055])]) ).
cnf(c_0_1102,plain,
( esk198_4(esk219_0,esk220_0,esk221_0,X1) = X1
| ~ in(X1,esk197_3(esk219_0,esk220_0,esk221_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1098,c_0_1093]),c_0_1058]),c_0_1059]),c_0_1055])]) ).
cnf(c_0_1103,plain,
in(relation_image(esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))),esk220_0),
inference(spm,[status(thm)],[c_0_1099,c_0_1100]) ).
cnf(c_0_1104,plain,
in(esk198_4(esk219_0,esk220_0,esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))),powerset(relation_dom(esk221_0))),
inference(spm,[status(thm)],[c_0_1101,c_0_1100]) ).
cnf(c_0_1105,plain,
esk198_4(esk219_0,esk220_0,esk221_0,esk222_1(esk197_3(esk219_0,esk220_0,esk221_0))) = esk222_1(esk197_3(esk219_0,esk220_0,esk221_0)),
inference(spm,[status(thm)],[c_0_1102,c_0_1100]) ).
cnf(c_0_1106,negated_conjecture,
~ in(esk222_1(esk197_3(esk219_0,esk220_0,esk221_0)),powerset(relation_dom(esk221_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_1100]),c_0_1103])]) ).
cnf(c_0_1107,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1104,c_0_1105]),c_0_1106]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU297+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.09 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.28 % Computer : n024.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sun Jun 19 12:37:19 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.13/0.38 # ENIGMATIC: Selected SinE mode:
% 0.13/0.40 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.13/0.40 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.13/0.40 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.78/3.56 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.78/3.56 # No SInE strategy applied
% 11.78/3.56 # Trying AutoSched0 for 150 seconds
% 11.78/3.56 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 11.78/3.56 # and selection function SelectCQArNTNpEqFirst.
% 11.78/3.56 #
% 11.78/3.56 # Preprocessing time : 0.024 s
% 11.78/3.56 # Presaturation interreduction done
% 11.78/3.56
% 11.78/3.56 # Proof found!
% 11.78/3.56 # SZS status Theorem
% 11.78/3.56 # SZS output start CNFRefutation
% See solution above
% 11.78/3.56 # Training examples: 0 positive, 0 negative
% 11.78/3.56
% 11.78/3.56 # -------------------------------------------------
% 11.78/3.56 # User time : 0.035 s
% 11.78/3.56 # System time : 0.005 s
% 11.78/3.56 # Total time : 0.040 s
% 11.78/3.56 # Maximum resident set size: 7136 pages
% 11.78/3.56
%------------------------------------------------------------------------------