%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU216+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 08:39:38 EDT 2022
% Result : Theorem 8.98s 2.47s
% Output : CNFRefutation 8.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 59 ( 17 unt; 16 nHn; 42 RR)
% Number of literals : 176 ( 78 equ; 94 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_68,plain,
( in(X1,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_68) ).
cnf(i_0_4,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_4) ).
cnf(i_0_6,plain,
( X1 = identity_relation(X2)
| in(esk1_2(X2,X1),X2)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_6) ).
cnf(i_0_7,plain,
( X1 = identity_relation(X2)
| esk1_2(X2,X1) != esk2_2(X2,X1)
| ~ relation(X1)
| ~ in(esk1_2(X2,X1),X2)
| ~ in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_7) ).
cnf(i_0_14,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X2 != apply(X3,X1)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_14) ).
cnf(i_0_60,negated_conjecture,
relation(esk11_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_60) ).
cnf(i_0_59,negated_conjecture,
function(esk11_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_59) ).
cnf(i_0_67,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_67) ).
cnf(i_0_5,plain,
( X1 = identity_relation(X2)
| esk1_2(X2,X1) = esk2_2(X2,X1)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_5) ).
cnf(i_0_56,negated_conjecture,
( identity_relation(esk10_0) = esk11_0
| relation_dom(esk11_0) = esk10_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_56) ).
cnf(i_0_55,negated_conjecture,
( identity_relation(esk10_0) = esk11_0
| apply(esk11_0,X1) = X1
| ~ in(X1,esk10_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_55) ).
cnf(i_0_9,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_9) ).
cnf(i_0_63,plain,
relation_dom(identity_relation(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_63) ).
cnf(i_0_23,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_23) ).
cnf(i_0_31,plain,
function(identity_relation(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_31) ).
cnf(i_0_57,negated_conjecture,
( identity_relation(esk10_0) != esk11_0
| relation_dom(esk11_0) != esk10_0
| apply(esk11_0,esk12_0) != esk12_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_57) ).
cnf(i_0_58,negated_conjecture,
( in(esk12_0,esk10_0)
| identity_relation(esk10_0) != esk11_0
| relation_dom(esk11_0) != esk10_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jnyb591v/input.p',i_0_58) ).
cnf(c_0_86,plain,
( in(X1,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
i_0_68 ).
cnf(c_0_87,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_4 ).
cnf(c_0_88,plain,
( X1 = identity_relation(X2)
| in(esk1_2(X2,X1),X2)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
i_0_6 ).
cnf(c_0_89,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
( X1 = identity_relation(X2)
| in(unordered_pair(singleton(esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)
| in(esk1_2(X2,X1),X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_91,plain,
( X1 = identity_relation(X2)
| esk1_2(X2,X1) != esk2_2(X2,X1)
| ~ relation(X1)
| ~ in(esk1_2(X2,X1),X2)
| ~ in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1) ),
i_0_7 ).
cnf(c_0_92,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X2 != apply(X3,X1)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3)) ),
i_0_14 ).
cnf(c_0_93,plain,
( X1 = identity_relation(X2)
| in(esk1_2(X2,X1),relation_dom(X1))
| in(esk1_2(X2,X1),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,negated_conjecture,
relation(esk11_0),
i_0_60 ).
cnf(c_0_95,negated_conjecture,
function(esk11_0),
i_0_59 ).
cnf(c_0_96,plain,
( X1 = identity_relation(X2)
| esk2_2(X2,X1) != esk1_2(X2,X1)
| ~ in(unordered_pair(singleton(esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)
| ~ in(esk1_2(X2,X1),X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_91,c_0_87]) ).
cnf(c_0_97,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| X2 != apply(X3,X1)
| ~ in(X1,relation_dom(X3))
| ~ relation(X3)
| ~ function(X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
( identity_relation(X1) = esk11_0
| in(esk1_2(X1,esk11_0),relation_dom(esk11_0))
| in(esk1_2(X1,esk11_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).
cnf(c_0_99,plain,
( X1 = identity_relation(X2)
| apply(X1,esk1_2(X2,X1)) != esk2_2(X2,X1)
| esk2_2(X2,X1) != esk1_2(X2,X1)
| ~ in(esk1_2(X2,X1),relation_dom(X1))
| ~ in(esk1_2(X2,X1),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,negated_conjecture,
( identity_relation(relation_dom(esk11_0)) = esk11_0
| in(esk1_2(relation_dom(esk11_0),esk11_0),relation_dom(esk11_0)) ),
inference(ef,[status(thm)],[c_0_98]) ).
cnf(c_0_101,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
i_0_67 ).
cnf(c_0_102,plain,
( X1 = identity_relation(X2)
| esk1_2(X2,X1) = esk2_2(X2,X1)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
i_0_5 ).
cnf(c_0_103,negated_conjecture,
( identity_relation(relation_dom(esk11_0)) = esk11_0
| apply(esk11_0,esk1_2(relation_dom(esk11_0),esk11_0)) != esk2_2(relation_dom(esk11_0),esk11_0)
| esk2_2(relation_dom(esk11_0),esk11_0) != esk1_2(relation_dom(esk11_0),esk11_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_94]),c_0_95])]),c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( identity_relation(esk10_0) = esk11_0
| relation_dom(esk11_0) = esk10_0 ),
i_0_56 ).
cnf(c_0_105,plain,
( X1 = apply(X2,X3)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_87]) ).
cnf(c_0_106,plain,
( esk2_2(X1,X2) = esk1_2(X1,X2)
| X2 = identity_relation(X1)
| in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X2)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_102,c_0_87]) ).
cnf(c_0_107,negated_conjecture,
( identity_relation(esk10_0) = esk11_0
| apply(esk11_0,esk1_2(esk10_0,esk11_0)) != esk2_2(esk10_0,esk11_0)
| esk2_2(esk10_0,esk11_0) != esk1_2(esk10_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,negated_conjecture,
( identity_relation(esk10_0) = esk11_0
| apply(esk11_0,X1) = X1
| ~ in(X1,esk10_0) ),
i_0_55 ).
cnf(c_0_109,negated_conjecture,
( identity_relation(esk10_0) = esk11_0
| in(esk1_2(esk10_0,esk11_0),esk10_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_104]) ).
cnf(c_0_110,plain,
( apply(X1,esk1_2(X2,X1)) = esk2_2(X2,X1)
| esk2_2(X2,X1) = esk1_2(X2,X1)
| X1 = identity_relation(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
i_0_9 ).
cnf(c_0_112,negated_conjecture,
( identity_relation(esk10_0) = esk11_0
| esk2_2(esk10_0,esk11_0) != esk1_2(esk10_0,esk11_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_113,negated_conjecture,
( esk2_2(X1,esk11_0) = esk1_2(X1,esk11_0)
| identity_relation(esk10_0) = esk11_0
| identity_relation(X1) = esk11_0
| ~ in(esk1_2(X1,esk11_0),esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_110]),c_0_94]),c_0_95])]) ).
cnf(c_0_114,plain,
( X1 = X2
| X2 != apply(X3,X1)
| X3 != identity_relation(X4)
| ~ in(X1,relation_dom(X3))
| ~ relation(X3)
| ~ function(X3) ),
inference(spm,[status(thm)],[c_0_111,c_0_92]) ).
cnf(c_0_115,plain,
relation_dom(identity_relation(X1)) = X1,
i_0_63 ).
cnf(c_0_116,negated_conjecture,
identity_relation(esk10_0) = esk11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_109]) ).
cnf(c_0_117,plain,
( apply(X1,X2) = X2
| X1 != identity_relation(X3)
| ~ in(X2,relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_114]) ).
cnf(c_0_118,plain,
relation(identity_relation(X1)),
i_0_23 ).
cnf(c_0_119,plain,
function(identity_relation(X1)),
i_0_31 ).
cnf(c_0_120,negated_conjecture,
( identity_relation(esk10_0) != esk11_0
| relation_dom(esk11_0) != esk10_0
| apply(esk11_0,esk12_0) != esk12_0 ),
i_0_57 ).
cnf(c_0_121,plain,
relation_dom(esk11_0) = esk10_0,
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_122,plain,
( apply(identity_relation(X1),X2) = X2
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_117]),c_0_115]),c_0_118]),c_0_119])]) ).
cnf(c_0_123,negated_conjecture,
( in(esk12_0,esk10_0)
| identity_relation(esk10_0) != esk11_0
| relation_dom(esk11_0) != esk10_0 ),
i_0_58 ).
cnf(c_0_124,negated_conjecture,
apply(esk11_0,esk12_0) != esk12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_116])]),c_0_121])]) ).
cnf(c_0_125,plain,
( apply(esk11_0,X1) = X1
| ~ in(X1,esk10_0) ),
inference(spm,[status(thm)],[c_0_122,c_0_116]) ).
cnf(c_0_126,negated_conjecture,
in(esk12_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_116])]),c_0_121])]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU216+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 06:50:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.98/2.47 # ENIGMATIC: Solved by autoschedule:
% 8.98/2.47 # No SInE strategy applied
% 8.98/2.47 # Trying AutoSched0 for 150 seconds
% 8.98/2.47 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.98/2.47 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.98/2.47 #
% 8.98/2.47 # Preprocessing time : 0.013 s
% 8.98/2.47
% 8.98/2.47 # Proof found!
% 8.98/2.47 # SZS status Theorem
% 8.98/2.47 # SZS output start CNFRefutation
% See solution above
% 8.98/2.47 # Training examples: 0 positive, 0 negative
% 8.98/2.47
% 8.98/2.47 # -------------------------------------------------
% 8.98/2.47 # User time : 0.221 s
% 8.98/2.47 # System time : 0.007 s
% 8.98/2.47 # Total time : 0.228 s
% 8.98/2.47 # Maximum resident set size: 7120 pages
% 8.98/2.47
%------------------------------------------------------------------------------