%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU241+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 08:39:59 EDT 2022
% Result : Theorem 7.51s 2.26s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of clauses : 62 ( 11 unt; 30 nHn; 54 RR)
% Number of literals : 159 ( 35 equ; 68 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_12) ).
cnf(i_0_6,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_6) ).
cnf(i_0_11,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),singleton(esk2_2(X1,X2))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_11) ).
cnf(i_0_8,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_8) ).
cnf(i_0_33,negated_conjecture,
( X1 = X2
| antisymmetric(esk4_0)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk4_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk4_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_33) ).
cnf(i_0_36,negated_conjecture,
( in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0)
| ~ antisymmetric(esk4_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_36) ).
cnf(i_0_37,negated_conjecture,
relation(esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_37) ).
cnf(i_0_35,negated_conjecture,
( in(unordered_pair(unordered_pair(esk6_0,esk5_0),singleton(esk6_0)),esk4_0)
| ~ antisymmetric(esk4_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_35) ).
cnf(i_0_15,plain,
( X1 = X2
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_15) ).
cnf(i_0_51,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_51) ).
cnf(i_0_52,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_52) ).
cnf(i_0_9,plain,
( is_antisymmetric_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ antisymmetric(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_9) ).
cnf(i_0_10,plain,
( is_antisymmetric_in(X1,X2)
| esk2_2(X1,X2) != esk1_2(X1,X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_10) ).
cnf(i_0_34,negated_conjecture,
( esk6_0 != esk5_0
| ~ antisymmetric(esk4_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6qosbv01/lgb.p',i_0_34) ).
cnf(c_0_67,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X1)
| ~ relation(X1) ),
i_0_12 ).
cnf(c_0_68,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_6 ).
cnf(c_0_69,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),singleton(esk2_2(X1,X2))),X1)
| ~ relation(X1) ),
i_0_11 ).
cnf(c_0_70,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
i_0_8 ).
cnf(c_0_71,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(singleton(esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_68]),c_0_68]) ).
cnf(c_0_73,negated_conjecture,
( X1 = X2
| antisymmetric(esk4_0)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk4_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk4_0) ),
i_0_33 ).
cnf(c_0_74,negated_conjecture,
( in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0)
| ~ antisymmetric(esk4_0) ),
i_0_36 ).
cnf(c_0_75,plain,
( antisymmetric(X1)
| in(unordered_pair(singleton(esk1_2(X1,relation_field(X1))),unordered_pair(esk1_2(X1,relation_field(X1)),esk2_2(X1,relation_field(X1)))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
relation(esk4_0),
i_0_37 ).
cnf(c_0_77,plain,
( antisymmetric(X1)
| in(unordered_pair(singleton(esk2_2(X1,relation_field(X1))),unordered_pair(esk1_2(X1,relation_field(X1)),esk2_2(X1,relation_field(X1)))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( in(unordered_pair(unordered_pair(esk6_0,esk5_0),singleton(esk6_0)),esk4_0)
| ~ antisymmetric(esk4_0) ),
i_0_35 ).
cnf(c_0_79,plain,
( X1 = X2
| antisymmetric(esk4_0)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),esk4_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk4_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_68]) ).
cnf(c_0_80,negated_conjecture,
( in(unordered_pair(singleton(esk1_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_81,negated_conjecture,
( in(unordered_pair(singleton(esk2_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_77]),c_0_76])]) ).
cnf(c_0_82,negated_conjecture,
( in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0)
| ~ antisymmetric(esk4_0) ),
inference(rw,[status(thm)],[c_0_78,c_0_68]) ).
cnf(c_0_83,plain,
( X1 = X2
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
i_0_15 ).
cnf(c_0_84,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_68]),c_0_68]),c_0_81]),c_0_74]) ).
cnf(c_0_85,negated_conjecture,
( in(unordered_pair(singleton(esk1_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_75]),c_0_76])]) ).
cnf(c_0_86,negated_conjecture,
( in(unordered_pair(singleton(esk2_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_77]),c_0_76])]) ).
cnf(c_0_87,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| ~ is_antisymmetric_in(esk4_0,X1)
| ~ in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0)
| ~ in(esk5_0,X1)
| ~ in(esk6_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_76]),c_0_68])]) ).
cnf(c_0_88,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_85]),c_0_68]),c_0_68]),c_0_86]),c_0_82]) ).
cnf(c_0_89,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
i_0_51 ).
cnf(c_0_90,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
i_0_52 ).
cnf(c_0_91,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| antisymmetric(esk4_0)
| ~ in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_84]),c_0_68]) ).
cnf(c_0_92,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| ~ is_antisymmetric_in(esk4_0,X1)
| ~ in(esk5_0,X1)
| ~ in(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,plain,
( is_antisymmetric_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ antisymmetric(X1) ),
i_0_9 ).
cnf(c_0_94,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| in(esk6_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_84]),c_0_76])]) ).
cnf(c_0_95,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| in(esk5_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_84]),c_0_76])]) ).
cnf(c_0_96,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| antisymmetric(esk4_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_88]) ).
cnf(c_0_97,plain,
( is_antisymmetric_in(X1,X2)
| esk2_2(X1,X2) != esk1_2(X1,X2)
| ~ relation(X1) ),
i_0_10 ).
cnf(c_0_98,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_76])]),c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_99,plain,
( esk6_0 = esk5_0
| is_antisymmetric_in(esk4_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_76])]) ).
cnf(c_0_100,plain,
( esk6_0 = esk5_0
| antisymmetric(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_99]),c_0_76])]) ).
cnf(c_0_101,negated_conjecture,
( esk6_0 = esk5_0
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_100]) ).
cnf(c_0_102,negated_conjecture,
( esk6_0 = esk5_0
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_100]) ).
cnf(c_0_103,plain,
( esk6_0 = esk5_0
| ~ is_antisymmetric_in(esk4_0,X1)
| ~ in(esk5_0,X1)
| ~ in(esk6_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_101]),c_0_76]),c_0_68])]),c_0_102]) ).
cnf(c_0_104,plain,
( esk6_0 = esk5_0
| in(esk6_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_101]),c_0_76])]) ).
cnf(c_0_105,plain,
( esk6_0 = esk5_0
| in(esk5_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_101]),c_0_76])]) ).
cnf(c_0_106,negated_conjecture,
( esk6_0 != esk5_0
| ~ antisymmetric(esk4_0) ),
i_0_34 ).
cnf(c_0_107,plain,
esk6_0 = esk5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_99]),c_0_104]),c_0_105]) ).
cnf(c_0_108,negated_conjecture,
~ antisymmetric(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_109,plain,
in(unordered_pair(singleton(esk1_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_75]),c_0_76])]) ).
cnf(c_0_110,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| ~ in(unordered_pair(singleton(esk2_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_109]),c_0_68]),c_0_68]),c_0_108]) ).
cnf(c_0_111,plain,
in(unordered_pair(singleton(esk2_2(esk4_0,relation_field(esk4_0))),unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_77]),c_0_76])]) ).
cnf(c_0_112,plain,
esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).
cnf(c_0_113,plain,
is_antisymmetric_in(esk4_0,relation_field(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_112]),c_0_76])]) ).
cnf(c_0_114,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_113]),c_0_76])]),c_0_108]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU241+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 23:11:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected complete mode:
% 7.51/2.26 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.51/2.26 # No SInE strategy applied
% 7.51/2.26 # Trying AutoSched0 for 150 seconds
% 7.51/2.26 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 7.51/2.26 # and selection function SelectNewComplexAHP.
% 7.51/2.26 #
% 7.51/2.26 # Preprocessing time : 0.013 s
% 7.51/2.26 # Presaturation interreduction done
% 7.51/2.26
% 7.51/2.26 # Proof found!
% 7.51/2.26 # SZS status Theorem
% 7.51/2.26 # SZS output start CNFRefutation
% See solution above
% 7.51/2.26 # Training examples: 0 positive, 0 negative
% 7.51/2.26
% 7.51/2.26 # -------------------------------------------------
% 7.51/2.26 # User time : 0.018 s
% 7.51/2.26 # System time : 0.005 s
% 7.51/2.26 # Total time : 0.023 s
% 7.51/2.26 # Maximum resident set size: 7120 pages
% 7.51/2.26
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