%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU013+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 08:38:00 EDT 2022
% Result : Theorem 7.42s 2.28s
% Output : CNFRefutation 7.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 56 ( 28 unt; 6 nHn; 56 RR)
% Number of literals : 145 ( 21 equ; 87 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 : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_9) ).
cnf(i_0_54,negated_conjecture,
relation(esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_54) ).
cnf(i_0_56,negated_conjecture,
relation(esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_56) ).
cnf(i_0_16,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_16) ).
cnf(i_0_53,negated_conjecture,
function(esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_53) ).
cnf(i_0_7,plain,
( one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_7) ).
cnf(i_0_50,negated_conjecture,
~ one_to_one(relation_composition(esk12_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_50) ).
cnf(i_0_55,negated_conjecture,
function(esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_55) ).
cnf(i_0_6,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_6) ).
cnf(i_0_5,plain,
( apply(X1,esk1_1(X1)) = apply(X1,esk2_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_5) ).
cnf(i_0_44,plain,
( in(apply(X1,X2),relation_dom(X3))
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_44) ).
cnf(i_0_46,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_46) ).
cnf(i_0_45,plain,
( in(X1,relation_dom(X2))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_45) ).
cnf(i_0_8,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_8) ).
cnf(i_0_51,negated_conjecture,
one_to_one(esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_51) ).
cnf(i_0_4,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_4) ).
cnf(i_0_52,negated_conjecture,
one_to_one(esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7dvofd8o/input.p',i_0_52) ).
cnf(c_0_74,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_9 ).
cnf(c_0_75,negated_conjecture,
relation(esk13_0),
i_0_54 ).
cnf(c_0_76,negated_conjecture,
( relation(relation_composition(X1,esk13_0))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,negated_conjecture,
relation(esk12_0),
i_0_56 ).
cnf(c_0_78,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_16 ).
cnf(c_0_79,negated_conjecture,
function(esk13_0),
i_0_53 ).
cnf(c_0_80,plain,
( one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_7 ).
cnf(c_0_81,negated_conjecture,
relation(relation_composition(esk12_0,esk13_0)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
~ one_to_one(relation_composition(esk12_0,esk13_0)),
i_0_50 ).
cnf(c_0_83,negated_conjecture,
( function(relation_composition(X1,esk13_0))
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_79])]) ).
cnf(c_0_84,negated_conjecture,
function(esk12_0),
i_0_55 ).
cnf(c_0_85,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_6 ).
cnf(c_0_86,plain,
( apply(X1,esk1_1(X1)) = apply(X1,esk2_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_5 ).
cnf(c_0_87,plain,
( in(esk1_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))
| ~ function(relation_composition(esk12_0,esk13_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_88,negated_conjecture,
function(relation_composition(esk12_0,esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_84])]) ).
cnf(c_0_89,plain,
( in(esk2_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))
| ~ function(relation_composition(esk12_0,esk13_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_81]),c_0_82]) ).
cnf(c_0_90,plain,
( apply(relation_composition(esk12_0,esk13_0),esk2_1(relation_composition(esk12_0,esk13_0))) = apply(relation_composition(esk12_0,esk13_0),esk1_1(relation_composition(esk12_0,esk13_0)))
| ~ function(relation_composition(esk12_0,esk13_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_81]),c_0_82]) ).
cnf(c_0_91,plain,
( in(apply(X1,X2),relation_dom(X3))
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
i_0_44 ).
cnf(c_0_92,plain,
in(esk1_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).
cnf(c_0_93,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X1,X2))) ),
i_0_46 ).
cnf(c_0_94,plain,
in(esk2_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_88])]) ).
cnf(c_0_95,plain,
apply(relation_composition(esk12_0,esk13_0),esk2_1(relation_composition(esk12_0,esk13_0))) = apply(relation_composition(esk12_0,esk13_0),esk1_1(relation_composition(esk12_0,esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_88])]) ).
cnf(c_0_96,plain,
( in(X1,relation_dom(X2))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
i_0_45 ).
cnf(c_0_97,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
i_0_8 ).
cnf(c_0_98,plain,
in(apply(esk12_0,esk1_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_75]),c_0_77]),c_0_79]),c_0_84])]) ).
cnf(c_0_99,negated_conjecture,
one_to_one(esk13_0),
i_0_51 ).
cnf(c_0_100,plain,
apply(relation_composition(esk12_0,esk13_0),esk1_1(relation_composition(esk12_0,esk13_0))) = apply(esk13_0,apply(esk12_0,esk2_1(relation_composition(esk12_0,esk13_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_75]),c_0_77]),c_0_79]),c_0_84])]) ).
cnf(c_0_101,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_4 ).
cnf(c_0_102,plain,
in(esk1_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_92]),c_0_75]),c_0_77]),c_0_79]),c_0_84])]) ).
cnf(c_0_103,negated_conjecture,
one_to_one(esk12_0),
i_0_52 ).
cnf(c_0_104,plain,
( X1 = apply(esk12_0,esk1_1(relation_composition(esk12_0,esk13_0)))
| apply(esk13_0,X1) != apply(esk13_0,apply(esk12_0,esk1_1(relation_composition(esk12_0,esk13_0))))
| ~ in(X1,relation_dom(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_75]),c_0_79])]) ).
cnf(c_0_105,plain,
apply(esk13_0,apply(esk12_0,esk2_1(relation_composition(esk12_0,esk13_0)))) = apply(esk13_0,apply(esk12_0,esk1_1(relation_composition(esk12_0,esk13_0)))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_92]),c_0_75]),c_0_77]),c_0_79]),c_0_84])]),c_0_100]) ).
cnf(c_0_106,plain,
in(apply(esk12_0,esk2_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_94]),c_0_75]),c_0_77]),c_0_79]),c_0_84])]) ).
cnf(c_0_107,plain,
( esk2_1(relation_composition(esk12_0,esk13_0)) != esk1_1(relation_composition(esk12_0,esk13_0))
| ~ function(relation_composition(esk12_0,esk13_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_81]),c_0_82]) ).
cnf(c_0_108,plain,
( X1 = esk1_1(relation_composition(esk12_0,esk13_0))
| apply(esk12_0,X1) != apply(esk12_0,esk1_1(relation_composition(esk12_0,esk13_0)))
| ~ in(X1,relation_dom(esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_102]),c_0_103]),c_0_77]),c_0_84])]) ).
cnf(c_0_109,plain,
apply(esk12_0,esk2_1(relation_composition(esk12_0,esk13_0))) = apply(esk12_0,esk1_1(relation_composition(esk12_0,esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]) ).
cnf(c_0_110,plain,
in(esk2_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_94]),c_0_75]),c_0_77]),c_0_79]),c_0_84])]) ).
cnf(c_0_111,plain,
esk2_1(relation_composition(esk12_0,esk13_0)) != esk1_1(relation_composition(esk12_0,esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_88])]) ).
cnf(c_0_112,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]),c_0_111]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU013+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.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 : Sat Jun 18 23:52:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.42/2.28 # ENIGMATIC: Solved by autoschedule:
% 7.42/2.28 # No SInE strategy applied
% 7.42/2.28 # Trying AutoSched0 for 150 seconds
% 7.42/2.28 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 7.42/2.28 # and selection function SelectComplexG.
% 7.42/2.28 #
% 7.42/2.28 # Preprocessing time : 0.024 s
% 7.42/2.28
% 7.42/2.28 # Proof found!
% 7.42/2.28 # SZS status Theorem
% 7.42/2.28 # SZS output start CNFRefutation
% See solution above
% 7.42/2.28 # Training examples: 0 positive, 0 negative
% 7.42/2.28
% 7.42/2.28 # -------------------------------------------------
% 7.42/2.28 # User time : 0.044 s
% 7.42/2.28 # System time : 0.002 s
% 7.42/2.28 # Total time : 0.046 s
% 7.42/2.28 # Maximum resident set size: 7124 pages
% 7.42/2.28
%------------------------------------------------------------------------------