%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 08:40:07 EDT 2022
% Result : Theorem 8.46s 2.51s
% Output : CNFRefutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 14 unt; 10 nHn; 27 RR)
% Number of literals : 76 ( 10 equ; 36 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_24,plain,
( antisymmetric(X1)
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_24) ).
cnf(i_0_6,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_6) ).
cnf(i_0_13,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_13) ).
cnf(i_0_23,plain,
( antisymmetric(X1)
| in(unordered_pair(unordered_pair(esk3_1(X1),esk2_1(X1)),singleton(esk3_1(X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_23) ).
cnf(i_0_42,negated_conjecture,
relation(esk10_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_42) ).
cnf(i_0_25,plain,
( X1 = X2
| ~ relation(X3)
| ~ antisymmetric(X3)
| ~ 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-r9eo7un_/lgb.p',i_0_25) ).
cnf(i_0_41,negated_conjecture,
antisymmetric(esk10_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_41) ).
cnf(i_0_40,negated_conjecture,
~ antisymmetric(relation_restriction(esk10_0,esk9_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_40) ).
cnf(i_0_22,plain,
( antisymmetric(X1)
| esk3_1(X1) != esk2_1(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_22) ).
cnf(i_0_38,plain,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r9eo7un_/lgb.p',i_0_38) ).
cnf(c_0_53,plain,
( antisymmetric(X1)
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1) ),
i_0_24 ).
cnf(c_0_54,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_6 ).
cnf(c_0_55,plain,
( in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| antisymmetric(X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_13 ).
cnf(c_0_57,plain,
( antisymmetric(X1)
| in(unordered_pair(unordered_pair(esk3_1(X1),esk2_1(X1)),singleton(esk3_1(X1))),X1)
| ~ relation(X1) ),
i_0_23 ).
cnf(c_0_58,plain,
( in(unordered_pair(singleton(esk2_1(relation_restriction(X1,X2))),unordered_pair(esk2_1(relation_restriction(X1,X2)),esk3_1(relation_restriction(X1,X2)))),relation_restriction(X1,X2))
| antisymmetric(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
relation(esk10_0),
i_0_42 ).
cnf(c_0_60,plain,
( in(unordered_pair(singleton(esk3_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| antisymmetric(X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_54]),c_0_54]) ).
cnf(c_0_61,plain,
( X1 = X2
| ~ relation(X3)
| ~ antisymmetric(X3)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
i_0_25 ).
cnf(c_0_62,negated_conjecture,
antisymmetric(esk10_0),
i_0_41 ).
cnf(c_0_63,negated_conjecture,
~ antisymmetric(relation_restriction(esk10_0,esk9_0)),
i_0_40 ).
cnf(c_0_64,negated_conjecture,
( in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,X1))),unordered_pair(esk2_1(relation_restriction(esk10_0,X1)),esk3_1(relation_restriction(esk10_0,X1)))),relation_restriction(esk10_0,X1))
| antisymmetric(relation_restriction(esk10_0,X1)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
( antisymmetric(X1)
| esk3_1(X1) != esk2_1(X1)
| ~ relation(X1) ),
i_0_22 ).
cnf(c_0_66,plain,
( in(unordered_pair(singleton(esk3_1(relation_restriction(X1,X2))),unordered_pair(esk2_1(relation_restriction(X1,X2)),esk3_1(relation_restriction(X1,X2)))),relation_restriction(X1,X2))
| antisymmetric(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
( X1 = X2
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk10_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_59])]) ).
cnf(c_0_68,plain,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
i_0_38 ).
cnf(c_0_69,negated_conjecture,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),relation_restriction(esk10_0,esk9_0)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( esk3_1(relation_restriction(esk10_0,esk9_0)) != esk2_1(relation_restriction(esk10_0,esk9_0))
| ~ relation(relation_restriction(esk10_0,esk9_0)) ),
inference(spm,[status(thm)],[c_0_63,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( in(unordered_pair(singleton(esk3_1(relation_restriction(esk10_0,X1))),unordered_pair(esk2_1(relation_restriction(esk10_0,X1)),esk3_1(relation_restriction(esk10_0,X1)))),relation_restriction(esk10_0,X1))
| antisymmetric(relation_restriction(esk10_0,X1)) ),
inference(spm,[status(thm)],[c_0_66,c_0_59]) ).
cnf(c_0_72,plain,
( X1 = X2
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),esk10_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk10_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_54]) ).
cnf(c_0_73,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_59])]) ).
cnf(c_0_74,plain,
esk3_1(relation_restriction(esk10_0,esk9_0)) != esk2_1(relation_restriction(esk10_0,esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_56]),c_0_59])]) ).
cnf(c_0_75,negated_conjecture,
in(unordered_pair(singleton(esk3_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),relation_restriction(esk10_0,esk9_0)),
inference(spm,[status(thm)],[c_0_63,c_0_71]) ).
cnf(c_0_76,plain,
~ in(unordered_pair(singleton(esk3_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),esk10_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_54]),c_0_54]),c_0_74]) ).
cnf(c_0_77,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_75]),c_0_59])]),c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 05:52:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.46/2.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.46/2.51 # No SInE strategy applied
% 8.46/2.51 # Trying AutoSched0 for 150 seconds
% 8.46/2.51 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AI
% 8.46/2.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.46/2.51 #
% 8.46/2.51 # Preprocessing time : 0.019 s
% 8.46/2.51 # Presaturation interreduction done
% 8.46/2.51
% 8.46/2.51 # Proof found!
% 8.46/2.51 # SZS status Theorem
% 8.46/2.51 # SZS output start CNFRefutation
% See solution above
% 8.46/2.51 # Training examples: 0 positive, 0 negative
% 8.46/2.51
% 8.46/2.51 # -------------------------------------------------
% 8.46/2.51 # User time : 0.022 s
% 8.46/2.51 # System time : 0.006 s
% 8.46/2.51 # Total time : 0.028 s
% 8.46/2.51 # Maximum resident set size: 7120 pages
% 8.46/2.51
%------------------------------------------------------------------------------