TSTP Solution File: SEU221+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU221+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:39:43 EDT 2022
% Result : Theorem 7.39s 2.41s
% Output : CNFRefutation 7.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 15 unt; 6 nHn; 41 RR)
% Number of literals : 105 ( 20 equ; 63 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; 1 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_16) ).
cnf(i_0_75,negated_conjecture,
function(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_75) ).
cnf(i_0_76,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_76) ).
cnf(i_0_70,plain,
( relation_rng(X1) = relation_dom(X2)
| X2 != function_inverse(X1)
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ one_to_one(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_70) ).
cnf(i_0_15,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_15) ).
cnf(i_0_9,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_9) ).
cnf(i_0_73,negated_conjecture,
~ one_to_one(function_inverse(esk16_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_73) ).
cnf(i_0_74,negated_conjecture,
one_to_one(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_74) ).
cnf(i_0_10,plain,
( one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_10) ).
cnf(i_0_8,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-1d4avfpr/lgb.p',i_0_8) ).
cnf(i_0_72,plain,
( apply(X1,apply(function_inverse(X1),X2)) = X2
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ in(X2,relation_rng(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_72) ).
cnf(i_0_7,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1d4avfpr/lgb.p',i_0_7) ).
cnf(c_0_89,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_16 ).
cnf(c_0_90,negated_conjecture,
function(esk16_0),
i_0_75 ).
cnf(c_0_91,negated_conjecture,
relation(esk16_0),
i_0_76 ).
cnf(c_0_92,plain,
( relation_rng(X1) = relation_dom(X2)
| X2 != function_inverse(X1)
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ one_to_one(X1) ),
i_0_70 ).
cnf(c_0_93,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_15 ).
cnf(c_0_94,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_9 ).
cnf(c_0_95,negated_conjecture,
relation(function_inverse(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_96,negated_conjecture,
~ one_to_one(function_inverse(esk16_0)),
i_0_73 ).
cnf(c_0_97,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_92]),c_0_93]),c_0_89]) ).
cnf(c_0_98,negated_conjecture,
one_to_one(esk16_0),
i_0_74 ).
cnf(c_0_99,plain,
( one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_10 ).
cnf(c_0_100,negated_conjecture,
( in(esk2_1(function_inverse(esk16_0)),relation_dom(function_inverse(esk16_0)))
| ~ function(function_inverse(esk16_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_101,negated_conjecture,
relation_dom(function_inverse(esk16_0)) = relation_rng(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_91]),c_0_90])]) ).
cnf(c_0_102,plain,
( apply(X1,esk1_1(X1)) = apply(X1,esk2_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_8 ).
cnf(c_0_103,negated_conjecture,
( in(esk1_1(function_inverse(esk16_0)),relation_dom(function_inverse(esk16_0)))
| ~ function(function_inverse(esk16_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_95]),c_0_96]) ).
cnf(c_0_104,plain,
( apply(X1,apply(function_inverse(X1),X2)) = X2
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ in(X2,relation_rng(X1)) ),
i_0_72 ).
cnf(c_0_105,negated_conjecture,
( in(esk2_1(function_inverse(esk16_0)),relation_rng(esk16_0))
| ~ function(function_inverse(esk16_0)) ),
inference(rw,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( apply(function_inverse(esk16_0),esk2_1(function_inverse(esk16_0))) = apply(function_inverse(esk16_0),esk1_1(function_inverse(esk16_0)))
| ~ function(function_inverse(esk16_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_95]),c_0_96]) ).
cnf(c_0_107,negated_conjecture,
( in(esk1_1(function_inverse(esk16_0)),relation_rng(esk16_0))
| ~ function(function_inverse(esk16_0)) ),
inference(rw,[status(thm)],[c_0_103,c_0_101]) ).
cnf(c_0_108,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_7 ).
cnf(c_0_109,plain,
( apply(esk16_0,apply(function_inverse(esk16_0),esk2_1(function_inverse(esk16_0)))) = esk2_1(function_inverse(esk16_0))
| ~ function(function_inverse(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_91]),c_0_90]),c_0_98])]) ).
cnf(c_0_110,plain,
apply(function_inverse(esk16_0),esk2_1(function_inverse(esk16_0))) = apply(function_inverse(esk16_0),esk1_1(function_inverse(esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_93]),c_0_91]),c_0_90])]) ).
cnf(c_0_111,plain,
( apply(esk16_0,apply(function_inverse(esk16_0),esk1_1(function_inverse(esk16_0)))) = esk1_1(function_inverse(esk16_0))
| ~ function(function_inverse(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_107]),c_0_91]),c_0_90]),c_0_98])]) ).
cnf(c_0_112,negated_conjecture,
( esk2_1(function_inverse(esk16_0)) != esk1_1(function_inverse(esk16_0))
| ~ function(function_inverse(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_108]),c_0_95])]) ).
cnf(c_0_113,plain,
( apply(esk16_0,apply(function_inverse(esk16_0),esk1_1(function_inverse(esk16_0)))) = esk2_1(function_inverse(esk16_0))
| ~ function(function_inverse(esk16_0)) ),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_114,plain,
apply(esk16_0,apply(function_inverse(esk16_0),esk1_1(function_inverse(esk16_0)))) = esk1_1(function_inverse(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_93]),c_0_91]),c_0_90])]) ).
cnf(c_0_115,plain,
esk2_1(function_inverse(esk16_0)) != esk1_1(function_inverse(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_93]),c_0_91]),c_0_90])]) ).
cnf(c_0_116,plain,
~ function(function_inverse(esk16_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_117,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_93]),c_0_91]),c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU221+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n008.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 18:50:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 7.39/2.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.39/2.41 # No SInE strategy applied
% 7.39/2.41 # Trying AutoSched0 for 150 seconds
% 7.39/2.41 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 7.39/2.41 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.39/2.41 #
% 7.39/2.41 # Preprocessing time : 0.023 s
% 7.39/2.41 # Presaturation interreduction done
% 7.39/2.41
% 7.39/2.41 # Proof found!
% 7.39/2.41 # SZS status Theorem
% 7.39/2.41 # SZS output start CNFRefutation
% See solution above
% 7.39/2.41 # Training examples: 0 positive, 0 negative
% 7.39/2.41
% 7.39/2.41 # -------------------------------------------------
% 7.39/2.41 # User time : 0.031 s
% 7.39/2.41 # System time : 0.002 s
% 7.39/2.41 # Total time : 0.034 s
% 7.39/2.41 # Maximum resident set size: 7124 pages
% 7.39/2.41
%------------------------------------------------------------------------------