TSTP Solution File: SEU075+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU075+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:38:19 EDT 2022
% Result : Theorem 10.13s 2.59s
% Output : CNFRefutation 10.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 45 ( 28 unt; 3 nHn; 45 RR)
% Number of literals : 113 ( 39 equ; 67 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; 4 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
( in(esk1_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_12) ).
cnf(i_0_77,plain,
( X1 = X2
| in(esk19_2(X1,X2),relation_dom(X1))
| relation_dom(X1) != relation_dom(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_77) ).
cnf(i_0_61,negated_conjecture,
relation(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_61) ).
cnf(i_0_57,negated_conjecture,
relation_dom(esk18_0) = esk15_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_57) ).
cnf(i_0_60,negated_conjecture,
function(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_60) ).
cnf(i_0_11,plain,
( apply(X1,esk1_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_11) ).
cnf(i_0_59,negated_conjecture,
relation_rng(esk16_0) = esk15_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_59) ).
cnf(i_0_65,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_65) ).
cnf(i_0_64,negated_conjecture,
function(esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_64) ).
cnf(i_0_58,negated_conjecture,
relation_dom(esk17_0) = esk15_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_58) ).
cnf(i_0_63,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_63) ).
cnf(i_0_62,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_62) ).
cnf(i_0_55,negated_conjecture,
esk18_0 != esk17_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_55) ).
cnf(i_0_67,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-29tygmt1/lgb.p',i_0_67) ).
cnf(i_0_56,negated_conjecture,
relation_composition(esk16_0,esk18_0) = relation_composition(esk16_0,esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_56) ).
cnf(i_0_76,plain,
( X1 = X2
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk19_2(X1,X2)) != apply(X2,esk19_2(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-29tygmt1/lgb.p',i_0_76) ).
cnf(c_0_94,plain,
( in(esk1_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_12 ).
cnf(c_0_95,plain,
( X1 = X2
| in(esk19_2(X1,X2),relation_dom(X1))
| relation_dom(X1) != relation_dom(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_77 ).
cnf(c_0_96,negated_conjecture,
relation(esk18_0),
i_0_61 ).
cnf(c_0_97,negated_conjecture,
relation_dom(esk18_0) = esk15_0,
i_0_57 ).
cnf(c_0_98,negated_conjecture,
function(esk18_0),
i_0_60 ).
cnf(c_0_99,plain,
( apply(X1,esk1_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_11 ).
cnf(c_0_100,plain,
( in(esk1_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ in(X2,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_101,negated_conjecture,
relation_rng(esk16_0) = esk15_0,
i_0_59 ).
cnf(c_0_102,negated_conjecture,
relation(esk16_0),
i_0_65 ).
cnf(c_0_103,negated_conjecture,
function(esk16_0),
i_0_64 ).
cnf(c_0_104,negated_conjecture,
( X1 = esk18_0
| in(esk19_2(X1,esk18_0),relation_dom(X1))
| relation_dom(X1) != esk15_0
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_98])]) ).
cnf(c_0_105,negated_conjecture,
relation_dom(esk17_0) = esk15_0,
i_0_58 ).
cnf(c_0_106,negated_conjecture,
relation(esk17_0),
i_0_63 ).
cnf(c_0_107,negated_conjecture,
function(esk17_0),
i_0_62 ).
cnf(c_0_108,negated_conjecture,
esk18_0 != esk17_0,
i_0_55 ).
cnf(c_0_109,plain,
( apply(X1,esk1_3(X1,relation_rng(X1),X2)) = X2
| ~ in(X2,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_110,negated_conjecture,
( in(esk1_3(esk16_0,esk15_0,X1),relation_dom(esk16_0))
| ~ in(X1,esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103])]) ).
cnf(c_0_111,negated_conjecture,
in(esk19_2(esk17_0,esk18_0),esk15_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_107])]),c_0_108]) ).
cnf(c_0_112,negated_conjecture,
( apply(esk16_0,esk1_3(esk16_0,esk15_0,X1)) = X1
| ~ in(X1,esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_101]),c_0_102]),c_0_103])]) ).
cnf(c_0_113,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_67 ).
cnf(c_0_114,negated_conjecture,
in(esk1_3(esk16_0,esk15_0,esk19_2(esk17_0,esk18_0)),relation_dom(esk16_0)),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
apply(esk16_0,esk1_3(esk16_0,esk15_0,esk19_2(esk17_0,esk18_0))) = esk19_2(esk17_0,esk18_0),
inference(spm,[status(thm)],[c_0_112,c_0_111]) ).
cnf(c_0_116,plain,
( apply(relation_composition(esk16_0,X1),esk1_3(esk16_0,esk15_0,esk19_2(esk17_0,esk18_0))) = apply(X1,esk19_2(esk17_0,esk18_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_113,c_0_114]),c_0_102]),c_0_103])]),c_0_115]) ).
cnf(c_0_117,negated_conjecture,
relation_composition(esk16_0,esk18_0) = relation_composition(esk16_0,esk17_0),
i_0_56 ).
cnf(c_0_118,plain,
( X1 = X2
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk19_2(X1,X2)) != apply(X2,esk19_2(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_76 ).
cnf(c_0_119,negated_conjecture,
apply(relation_composition(esk16_0,esk17_0),esk1_3(esk16_0,esk15_0,esk19_2(esk17_0,esk18_0))) = apply(esk18_0,esk19_2(esk17_0,esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_96]),c_0_117]),c_0_98])]) ).
cnf(c_0_120,negated_conjecture,
( X1 = esk18_0
| apply(X1,esk19_2(X1,esk18_0)) != apply(esk18_0,esk19_2(X1,esk18_0))
| relation_dom(X1) != esk15_0
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_96]),c_0_97]),c_0_98])]) ).
cnf(c_0_121,negated_conjecture,
apply(esk18_0,esk19_2(esk17_0,esk18_0)) = apply(esk17_0,esk19_2(esk17_0,esk18_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_106]),c_0_107])]),c_0_119]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_105]),c_0_106]),c_0_107])]),c_0_108]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU075+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n013.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 : Mon Jun 20 08:04:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 10.13/2.59 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.13/2.59 # No SInE strategy applied
% 10.13/2.59 # Trying AutoSched0 for 150 seconds
% 10.13/2.59 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
% 10.13/2.59 # and selection function SelectComplexG.
% 10.13/2.59 #
% 10.13/2.59 # Preprocessing time : 0.015 s
% 10.13/2.59 # Presaturation interreduction done
% 10.13/2.59
% 10.13/2.59 # Proof found!
% 10.13/2.59 # SZS status Theorem
% 10.13/2.59 # SZS output start CNFRefutation
% See solution above
% 10.13/2.59 # Training examples: 0 positive, 0 negative
% 10.13/2.59
% 10.13/2.59 # -------------------------------------------------
% 10.13/2.59 # User time : 0.292 s
% 10.13/2.59 # System time : 0.037 s
% 10.13/2.59 # Total time : 0.329 s
% 10.13/2.59 # Maximum resident set size: 7120 pages
% 10.13/2.59
%------------------------------------------------------------------------------