TSTP Solution File: SEU192+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU192+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 08:39:22 EDT 2022
% Result : Theorem 7.14s 2.24s
% Output : CNFRefutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 45 ( 11 unt; 9 nHn; 41 RR)
% Number of literals : 122 ( 12 equ; 73 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 84 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
( in(unordered_pair(unordered_pair(X1,esk3_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_13) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_3) ).
cnf(i_0_9,plain,
( in(X1,X2)
| X3 != relation_dom_restriction(X4,X2)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_9) ).
cnf(i_0_20,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_20) ).
cnf(i_0_43,negated_conjecture,
( in(esk11_0,esk12_0)
| in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_43) ).
cnf(i_0_8,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != relation_dom_restriction(X3,X5)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_8) ).
cnf(i_0_42,negated_conjecture,
( in(esk11_0,relation_dom(esk13_0))
| in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_42) ).
cnf(i_0_45,negated_conjecture,
relation(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_45) ).
cnf(i_0_12,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_12) ).
cnf(i_0_7,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_dom_restriction(X4,X5)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(X1,X5)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_7) ).
cnf(i_0_44,negated_conjecture,
( ~ in(esk11_0,esk12_0)
| ~ in(esk11_0,relation_dom(esk13_0))
| ~ in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3e2rj1el/lgb.p',i_0_44) ).
cnf(c_0_57,plain,
( in(unordered_pair(unordered_pair(X1,esk3_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_13 ).
cnf(c_0_58,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_59,plain,
( in(X1,X2)
| X3 != relation_dom_restriction(X4,X2)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
i_0_9 ).
cnf(c_0_60,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
i_0_20 ).
cnf(c_0_61,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_3(X2,relation_dom(X2),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_62,negated_conjecture,
( in(esk11_0,esk12_0)
| in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))) ),
i_0_43 ).
cnf(c_0_63,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != relation_dom_restriction(X3,X5)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
i_0_8 ).
cnf(c_0_64,negated_conjecture,
( in(esk11_0,relation_dom(esk13_0))
| in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))) ),
i_0_42 ).
cnf(c_0_65,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_dom_restriction(X3,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_59]),c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk3_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))
| in(esk11_0,esk12_0)
| ~ relation(relation_dom_restriction(esk13_0,esk12_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
relation(esk13_0),
i_0_45 ).
cnf(c_0_68,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_12 ).
cnf(c_0_69,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_dom_restriction(X3,X4)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_63]),c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk3_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))
| in(esk11_0,relation_dom(esk13_0))
| ~ relation(relation_dom_restriction(esk13_0,esk12_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_64]) ).
cnf(c_0_71,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_dom_restriction(X4,X5)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(X1,X5)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
i_0_7 ).
cnf(c_0_72,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),relation_dom_restriction(X3,X2)) ),
inference(spm,[status(thm)],[c_0_65,c_0_58]) ).
cnf(c_0_73,plain,
( in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk3_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))
| in(esk11_0,esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_60]),c_0_67])]) ).
cnf(c_0_74,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_dom_restriction(X3,X4)) ),
inference(spm,[status(thm)],[c_0_69,c_0_58]) ).
cnf(c_0_76,plain,
( in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk3_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))
| in(esk11_0,relation_dom(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_60]),c_0_67])]) ).
cnf(c_0_77,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ in(X1,X4) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_71]),c_0_60]) ).
cnf(c_0_78,plain,
in(esk11_0,esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_67])]) ).
cnf(c_0_79,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_58]) ).
cnf(c_0_80,plain,
( in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk3_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),esk13_0)
| in(esk11_0,relation_dom(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_67])]) ).
cnf(c_0_81,plain,
( in(unordered_pair(unordered_pair(esk11_0,X1),singleton(esk11_0)),relation_dom_restriction(X2,esk12_0))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(esk11_0,X1),singleton(esk11_0)),X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
in(esk11_0,relation_dom(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_67])]) ).
cnf(c_0_83,negated_conjecture,
( ~ in(esk11_0,esk12_0)
| ~ in(esk11_0,relation_dom(esk13_0))
| ~ in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))) ),
i_0_44 ).
cnf(c_0_84,plain,
( in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,X1)),relation_dom_restriction(X2,esk12_0))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,X1)),X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_58]) ).
cnf(c_0_85,plain,
in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk3_3(esk13_0,relation_dom(esk13_0),esk11_0))),esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_82]),c_0_67])]) ).
cnf(c_0_86,negated_conjecture,
( ~ in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))
| ~ in(esk11_0,relation_dom(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_78])]) ).
cnf(c_0_87,plain,
in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk3_3(esk13_0,relation_dom(esk13_0),esk11_0))),relation_dom_restriction(esk13_0,esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_67])]) ).
cnf(c_0_88,negated_conjecture,
~ in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_82])]) ).
cnf(c_0_89,plain,
~ relation(relation_dom_restriction(esk13_0,esk12_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_87]),c_0_88]) ).
cnf(c_0_90,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_60]),c_0_67])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU192+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n004.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 22:13:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.14/2.24 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.14/2.24 # No SInE strategy applied
% 7.14/2.24 # Trying AutoSched0 for 150 seconds
% 7.14/2.24 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 7.14/2.24 # and selection function SelectCQIPrecWNTNp.
% 7.14/2.24 #
% 7.14/2.24 # Preprocessing time : 0.023 s
% 7.14/2.24 # Presaturation interreduction done
% 7.14/2.24
% 7.14/2.24 # Proof found!
% 7.14/2.24 # SZS status Theorem
% 7.14/2.24 # SZS output start CNFRefutation
% See solution above
% 7.14/2.24 # Training examples: 0 positive, 0 negative
% 7.14/2.24
% 7.14/2.24 # -------------------------------------------------
% 7.14/2.24 # User time : 0.030 s
% 7.14/2.24 # System time : 0.004 s
% 7.14/2.24 # Total time : 0.034 s
% 7.14/2.24 # Maximum resident set size: 7120 pages
% 7.14/2.24
%------------------------------------------------------------------------------