TSTP Solution File: SEU242+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:40:00 EDT 2022
% Result : Theorem 8.46s 2.48s
% Output : CNFRefutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 16
% Syntax : Number of clauses : 95 ( 11 unt; 55 nHn; 89 RR)
% Number of literals : 279 ( 75 equ; 85 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 : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( connected(X1)
| ~ relation(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_8) ).
cnf(i_0_16,plain,
( is_connected_in(X1,X2)
| in(esk1_2(X1,X2),X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_16) ).
cnf(i_0_38,negated_conjecture,
( in(esk5_0,relation_field(esk4_0))
| ~ connected(esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_38) ).
cnf(i_0_39,negated_conjecture,
relation(esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_39) ).
cnf(i_0_15,plain,
( is_connected_in(X1,X2)
| in(esk2_2(X1,X2),X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_15) ).
cnf(i_0_33,negated_conjecture,
( X1 = X2
| connected(esk4_0)
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk4_0)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk4_0)
| ~ in(X2,relation_field(esk4_0))
| ~ in(X1,relation_field(esk4_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_33) ).
cnf(i_0_6,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_6) ).
cnf(i_0_12,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),singleton(esk2_2(X1,X2))),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_12) ).
cnf(i_0_37,negated_conjecture,
( in(esk6_0,relation_field(esk4_0))
| ~ connected(esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_37) ).
cnf(i_0_13,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_13) ).
cnf(i_0_17,plain,
( X1 = X2
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ is_connected_in(X3,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_17) ).
cnf(i_0_9,plain,
( is_connected_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ connected(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_9) ).
cnf(i_0_34,negated_conjecture,
( ~ connected(esk4_0)
| ~ in(unordered_pair(unordered_pair(esk6_0,esk5_0),singleton(esk6_0)),esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_34) ).
cnf(i_0_35,negated_conjecture,
( ~ connected(esk4_0)
| ~ in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_35) ).
cnf(i_0_36,negated_conjecture,
( esk6_0 != esk5_0
| ~ connected(esk4_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_36) ).
cnf(i_0_14,plain,
( is_connected_in(X1,X2)
| esk2_2(X1,X2) != esk1_2(X1,X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jgfm7l4e/lgb.p',i_0_14) ).
cnf(c_0_56,plain,
( connected(X1)
| ~ relation(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
i_0_8 ).
cnf(c_0_57,plain,
( is_connected_in(X1,X2)
| in(esk1_2(X1,X2),X2)
| ~ relation(X1) ),
i_0_16 ).
cnf(c_0_58,negated_conjecture,
( in(esk5_0,relation_field(esk4_0))
| ~ connected(esk4_0) ),
i_0_38 ).
cnf(c_0_59,plain,
( in(esk1_2(X1,relation_field(X1)),relation_field(X1))
| connected(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
relation(esk4_0),
i_0_39 ).
cnf(c_0_61,plain,
( is_connected_in(X1,X2)
| in(esk2_2(X1,X2),X2)
| ~ relation(X1) ),
i_0_15 ).
cnf(c_0_62,negated_conjecture,
( X1 = X2
| connected(esk4_0)
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk4_0)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk4_0)
| ~ in(X2,relation_field(esk4_0))
| ~ in(X1,relation_field(esk4_0)) ),
i_0_33 ).
cnf(c_0_63,negated_conjecture,
( in(esk1_2(esk4_0,relation_field(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_58,c_0_59]),c_0_60])]) ).
cnf(c_0_64,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_6 ).
cnf(c_0_65,plain,
( in(esk2_2(X1,relation_field(X1)),relation_field(X1))
| connected(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_61]) ).
cnf(c_0_66,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),singleton(esk2_2(X1,X2))),X1) ),
i_0_12 ).
cnf(c_0_67,negated_conjecture,
( X1 = esk1_2(esk4_0,relation_field(esk4_0))
| in(unordered_pair(unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),X1),singleton(esk1_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(esk5_0,relation_field(esk4_0))
| ~ in(X1,relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_58]) ).
cnf(c_0_68,negated_conjecture,
( in(esk2_2(esk4_0,relation_field(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_58,c_0_65]),c_0_60])]) ).
cnf(c_0_69,negated_conjecture,
( in(esk6_0,relation_field(esk4_0))
| ~ connected(esk4_0) ),
i_0_37 ).
cnf(c_0_70,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_64]),c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( 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)
| 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(esk5_0,relation_field(esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_64]),c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( in(esk1_2(esk4_0,relation_field(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_69,c_0_59]),c_0_60])]) ).
cnf(c_0_73,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X1) ),
i_0_13 ).
cnf(c_0_74,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(esk4_0,relation_field(esk4_0))
| 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(esk5_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_60])]) ).
cnf(c_0_75,negated_conjecture,
( X1 = esk1_2(esk4_0,relation_field(esk4_0))
| in(unordered_pair(unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),X1),singleton(esk1_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(esk6_0,relation_field(esk4_0))
| ~ in(X1,relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_72]),c_0_64]),c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( in(esk2_2(esk4_0,relation_field(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_69,c_0_65]),c_0_60])]) ).
cnf(c_0_77,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[c_0_73,c_0_64]) ).
cnf(c_0_78,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| 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(esk5_0,relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_74]),c_0_60])]),c_0_58]) ).
cnf(c_0_79,negated_conjecture,
( 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)
| 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(esk6_0,relation_field(esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_64]),c_0_64]) ).
cnf(c_0_80,plain,
( X1 = X2
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ is_connected_in(X3,X4) ),
i_0_17 ).
cnf(c_0_81,plain,
( is_connected_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ connected(X1) ),
i_0_9 ).
cnf(c_0_82,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(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_77,c_0_78]),c_0_60])]) ).
cnf(c_0_83,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(esk4_0,relation_field(esk4_0))
| 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(esk6_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_79]),c_0_60])]) ).
cnf(c_0_84,plain,
( X1 = X2
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| ~ relation(X3)
| ~ in(X2,relation_field(X3))
| ~ in(X1,relation_field(X3))
| ~ connected(X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,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(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_82]),c_0_60])]),c_0_58]) ).
cnf(c_0_86,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| 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(esk6_0,relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_83]),c_0_60])]),c_0_69]) ).
cnf(c_0_87,negated_conjecture,
( ~ connected(esk4_0)
| ~ in(unordered_pair(unordered_pair(esk6_0,esk5_0),singleton(esk6_0)),esk4_0) ),
i_0_34 ).
cnf(c_0_88,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| X1 = esk5_0
| in(unordered_pair(unordered_pair(esk5_0,X1),singleton(esk5_0)),esk4_0)
| in(unordered_pair(unordered_pair(X1,esk5_0),singleton(X1)),esk4_0)
| ~ in(X1,relation_field(esk4_0))
| ~ connected(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_60])]) ).
cnf(c_0_89,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(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_77,c_0_86]),c_0_60])]) ).
cnf(c_0_90,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0)
| ~ connected(esk4_0) ),
inference(rw,[status(thm)],[c_0_87,c_0_64]) ).
cnf(c_0_91,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| X1 = esk5_0
| in(unordered_pair(unordered_pair(esk5_0,X1),singleton(esk5_0)),esk4_0)
| in(unordered_pair(unordered_pair(X1,esk5_0),singleton(X1)),esk4_0)
| ~ in(X1,relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_85]),c_0_88]) ).
cnf(c_0_92,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(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_89]),c_0_60])]),c_0_69]) ).
cnf(c_0_93,negated_conjecture,
( ~ connected(esk4_0)
| ~ in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
i_0_35 ).
cnf(c_0_94,negated_conjecture,
( in(esk1_2(esk4_0,relation_field(esk4_0)),relation_field(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_90,c_0_59]),c_0_60])]) ).
cnf(c_0_95,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0)
| in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_64]) ).
cnf(c_0_96,negated_conjecture,
( in(esk1_2(esk4_0,relation_field(esk4_0)),relation_field(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_93,c_0_59]),c_0_60])]) ).
cnf(c_0_97,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| in(esk1_2(esk4_0,relation_field(esk4_0)),relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_98,negated_conjecture,
( esk6_0 != esk5_0
| ~ connected(esk4_0) ),
i_0_36 ).
cnf(c_0_99,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| X1 = esk1_2(esk4_0,relation_field(esk4_0))
| in(unordered_pair(unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),X1),singleton(esk1_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| ~ in(X1,relation_field(esk4_0))
| ~ connected(esk4_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_97]),c_0_64]),c_0_60])]),c_0_98]) ).
cnf(c_0_100,negated_conjecture,
( in(esk2_2(esk4_0,relation_field(esk4_0)),relation_field(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_90,c_0_65]),c_0_60])]) ).
cnf(c_0_101,negated_conjecture,
( in(esk2_2(esk4_0,relation_field(esk4_0)),relation_field(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_93,c_0_65]),c_0_60])]) ).
cnf(c_0_102,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| X1 = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| in(unordered_pair(unordered_pair(esk1_2(esk4_0,relation_field(esk4_0)),X1),singleton(esk1_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| ~ in(X1,relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_97]),c_0_64]),c_0_99]) ).
cnf(c_0_103,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| in(esk2_2(esk4_0,relation_field(esk4_0)),relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_95]),c_0_101]) ).
cnf(c_0_104,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_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)
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_64]),c_0_64]) ).
cnf(c_0_105,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| is_connected_in(esk4_0,relation_field(esk4_0))
| 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_70,c_0_104]),c_0_60])]) ).
cnf(c_0_106,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| 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)
| connected(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_105]),c_0_60])]) ).
cnf(c_0_107,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| 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(spm,[status(thm)],[c_0_90,c_0_106]) ).
cnf(c_0_108,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| 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(spm,[status(thm)],[c_0_93,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_95]),c_0_108]) ).
cnf(c_0_110,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| is_connected_in(esk4_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_109]),c_0_60])]) ).
cnf(c_0_111,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| connected(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_110]),c_0_60])]) ).
cnf(c_0_112,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| ~ in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_111]) ).
cnf(c_0_113,negated_conjecture,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| esk6_0 = esk5_0
| ~ in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_111]) ).
cnf(c_0_114,plain,
( is_connected_in(X1,X2)
| esk2_2(X1,X2) != esk1_2(X1,X2)
| ~ relation(X1) ),
i_0_14 ).
cnf(c_0_115,negated_conjecture,
( 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(spm,[status(thm)],[c_0_112,c_0_95]),c_0_113]) ).
cnf(c_0_116,plain,
( esk6_0 = esk5_0
| is_connected_in(esk4_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_60])]) ).
cnf(c_0_117,plain,
( esk6_0 = esk5_0
| connected(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_116]),c_0_60])]) ).
cnf(c_0_118,negated_conjecture,
( esk6_0 = esk5_0
| in(esk5_0,relation_field(esk4_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_117]) ).
cnf(c_0_119,plain,
( esk6_0 = esk5_0
| X1 = esk5_0
| in(unordered_pair(unordered_pair(esk5_0,X1),singleton(esk5_0)),esk4_0)
| in(unordered_pair(unordered_pair(X1,esk5_0),singleton(X1)),esk4_0)
| ~ in(X1,relation_field(esk4_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_118]),c_0_60])]),c_0_117]) ).
cnf(c_0_120,negated_conjecture,
( esk6_0 = esk5_0
| in(esk6_0,relation_field(esk4_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_117]) ).
cnf(c_0_121,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_90,c_0_117]) ).
cnf(c_0_122,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_93,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
esk6_0 = esk5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_64]),c_0_121]),c_0_122]) ).
cnf(c_0_124,negated_conjecture,
~ connected(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_123])]) ).
cnf(c_0_125,plain,
in(esk2_2(esk4_0,relation_field(esk4_0)),relation_field(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_65]),c_0_60])]) ).
cnf(c_0_126,negated_conjecture,
( X1 = esk2_2(esk4_0,relation_field(esk4_0))
| in(unordered_pair(unordered_pair(esk2_2(esk4_0,relation_field(esk4_0)),X1),singleton(esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_2(esk4_0,relation_field(esk4_0)))),esk4_0)
| ~ in(X1,relation_field(esk4_0)) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_125]),c_0_64]),c_0_124]) ).
cnf(c_0_127,plain,
in(esk1_2(esk4_0,relation_field(esk4_0)),relation_field(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_59]),c_0_60])]) ).
cnf(c_0_128,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| 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(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_64]),c_0_64]) ).
cnf(c_0_129,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(esk4_0,relation_field(esk4_0))
| 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_70,c_0_128]),c_0_60])]) ).
cnf(c_0_130,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_129]),c_0_60])]),c_0_124]) ).
cnf(c_0_131,plain,
( esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0))
| is_connected_in(esk4_0,relation_field(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_130]),c_0_60])]) ).
cnf(c_0_132,plain,
esk2_2(esk4_0,relation_field(esk4_0)) = esk1_2(esk4_0,relation_field(esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_131]),c_0_60])]),c_0_124]) ).
cnf(c_0_133,plain,
is_connected_in(esk4_0,relation_field(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_132]),c_0_60])]) ).
cnf(c_0_134,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_133]),c_0_60])]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 21:40:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.46/2.48 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.46/2.48 # No SInE strategy applied
% 8.46/2.48 # Trying AutoSched0 for 150 seconds
% 8.46/2.48 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 8.46/2.48 # and selection function SelectNewComplexAHP.
% 8.46/2.48 #
% 8.46/2.48 # Preprocessing time : 0.013 s
% 8.46/2.48 # Presaturation interreduction done
% 8.46/2.48
% 8.46/2.48 # Proof found!
% 8.46/2.48 # SZS status Theorem
% 8.46/2.48 # SZS output start CNFRefutation
% See solution above
% 8.46/2.48 # Training examples: 0 positive, 0 negative
% 8.46/2.48
% 8.46/2.48 # -------------------------------------------------
% 8.46/2.48 # User time : 0.029 s
% 8.46/2.48 # System time : 0.006 s
% 8.46/2.48 # Total time : 0.035 s
% 8.46/2.48 # Maximum resident set size: 7124 pages
% 8.46/2.48
%------------------------------------------------------------------------------