TSTP Solution File: SEU014+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU014+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:38:01 EDT 2022
% Result : Theorem 9.30s 2.58s
% Output : CNFRefutation 9.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of clauses : 48 ( 24 unt; 6 nHn; 48 RR)
% Number of literals : 124 ( 23 equ; 73 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_9) ).
cnf(i_0_57,negated_conjecture,
relation(esk12_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_57) ).
cnf(i_0_16,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_16) ).
cnf(i_0_56,negated_conjecture,
function(esk12_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_56) ).
cnf(i_0_6,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_6) ).
cnf(i_0_55,negated_conjecture,
relation(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_55) ).
cnf(i_0_54,negated_conjecture,
function(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_54) ).
cnf(i_0_51,negated_conjecture,
~ one_to_one(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_51) ).
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/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_5) ).
cnf(i_0_50,plain,
( relation_dom(relation_composition(X1,X2)) = relation_dom(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_50) ).
cnf(i_0_52,negated_conjecture,
subset(relation_rng(esk13_0),relation_dom(esk12_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_52) ).
cnf(i_0_46,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_46) ).
cnf(i_0_7,plain,
( one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_7) ).
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/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_8) ).
cnf(i_0_53,negated_conjecture,
one_to_one(relation_composition(esk13_0,esk12_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_53) ).
cnf(i_0_4,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mokse5cz/input.p',i_0_4) ).
cnf(c_0_74,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_9 ).
cnf(c_0_75,negated_conjecture,
relation(esk12_0),
i_0_57 ).
cnf(c_0_76,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_16 ).
cnf(c_0_77,negated_conjecture,
function(esk12_0),
i_0_56 ).
cnf(c_0_78,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_6 ).
cnf(c_0_79,negated_conjecture,
relation(esk13_0),
i_0_55 ).
cnf(c_0_80,negated_conjecture,
function(esk13_0),
i_0_54 ).
cnf(c_0_81,negated_conjecture,
~ one_to_one(esk13_0),
i_0_51 ).
cnf(c_0_82,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_83,plain,
( relation_dom(relation_composition(X1,X2)) = relation_dom(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X2)) ),
i_0_50 ).
cnf(c_0_84,negated_conjecture,
subset(relation_rng(esk13_0),relation_dom(esk12_0)),
i_0_52 ).
cnf(c_0_85,negated_conjecture,
( relation(relation_composition(X1,esk12_0))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_86,negated_conjecture,
( function(relation_composition(X1,esk12_0))
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_75]),c_0_77])]) ).
cnf(c_0_87,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1)) ),
i_0_46 ).
cnf(c_0_88,negated_conjecture,
in(esk2_1(esk13_0),relation_dom(esk13_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]),c_0_81]) ).
cnf(c_0_89,negated_conjecture,
apply(esk13_0,esk2_1(esk13_0)) = apply(esk13_0,esk1_1(esk13_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_79]),c_0_80])]),c_0_81]) ).
cnf(c_0_90,plain,
( one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_7 ).
cnf(c_0_91,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_92,negated_conjecture,
relation_dom(relation_composition(esk13_0,esk12_0)) = relation_dom(esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_75]),c_0_79])]) ).
cnf(c_0_93,negated_conjecture,
one_to_one(relation_composition(esk13_0,esk12_0)),
i_0_53 ).
cnf(c_0_94,negated_conjecture,
relation(relation_composition(esk13_0,esk12_0)),
inference(spm,[status(thm)],[c_0_85,c_0_79]) ).
cnf(c_0_95,negated_conjecture,
function(relation_composition(esk13_0,esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_79]),c_0_80])]) ).
cnf(c_0_96,plain,
( apply(relation_composition(esk13_0,X1),esk2_1(esk13_0)) = apply(X1,apply(esk13_0,esk1_1(esk13_0)))
| ~ relation(X1)
| ~ function(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_79]),c_0_80])]),c_0_89]) ).
cnf(c_0_97,negated_conjecture,
in(esk1_1(esk13_0),relation_dom(esk13_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_79]),c_0_80])]),c_0_81]) ).
cnf(c_0_98,plain,
( X1 = X2
| apply(relation_composition(esk13_0,esk12_0),X1) != apply(relation_composition(esk13_0,esk12_0),X2)
| ~ in(X2,relation_dom(esk13_0))
| ~ in(X1,relation_dom(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]),c_0_94]),c_0_95])]) ).
cnf(c_0_99,negated_conjecture,
apply(relation_composition(esk13_0,esk12_0),esk2_1(esk13_0)) = apply(esk12_0,apply(esk13_0,esk1_1(esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_75]),c_0_77])]) ).
cnf(c_0_100,plain,
( apply(relation_composition(esk13_0,X1),esk1_1(esk13_0)) = apply(X1,apply(esk13_0,esk1_1(esk13_0)))
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_97]),c_0_79]),c_0_80])]) ).
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,negated_conjecture,
( X1 = esk2_1(esk13_0)
| apply(relation_composition(esk13_0,esk12_0),X1) != apply(esk12_0,apply(esk13_0,esk1_1(esk13_0)))
| ~ in(X1,relation_dom(esk13_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_88]),c_0_99]) ).
cnf(c_0_103,negated_conjecture,
apply(relation_composition(esk13_0,esk12_0),esk1_1(esk13_0)) = apply(esk12_0,apply(esk13_0,esk1_1(esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_75]),c_0_77])]) ).
cnf(c_0_104,negated_conjecture,
esk2_1(esk13_0) != esk1_1(esk13_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_79]),c_0_80])]),c_0_81]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_97]),c_0_103])]),c_0_104]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU014+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 00:30:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 9.30/2.58 # ENIGMATIC: Solved by autoschedule:
% 9.30/2.58 # No SInE strategy applied
% 9.30/2.58 # Trying AutoSched0 for 150 seconds
% 9.30/2.58 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 9.30/2.58 # and selection function SelectComplexG.
% 9.30/2.58 #
% 9.30/2.58 # Preprocessing time : 0.021 s
% 9.30/2.58
% 9.30/2.58 # Proof found!
% 9.30/2.58 # SZS status Theorem
% 9.30/2.58 # SZS output start CNFRefutation
% See solution above
% 9.30/2.58 # Training examples: 0 positive, 0 negative
% 9.30/2.58
% 9.30/2.58 # -------------------------------------------------
% 9.30/2.58 # User time : 0.090 s
% 9.30/2.58 # System time : 0.014 s
% 9.30/2.58 # Total time : 0.104 s
% 9.30/2.58 # Maximum resident set size: 7120 pages
% 9.30/2.58
%------------------------------------------------------------------------------