TSTP Solution File: SEU251+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU251+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 08:40:05 EDT 2022
% Result : Theorem 13.94s 3.48s
% Output : CNFRefutation 13.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 9 unt; 12 nHn; 20 RR)
% Number of literals : 84 ( 19 equ; 42 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != fiber(X3,X2)
| ~ relation(X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_12) ).
cnf(i_0_15,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_15) ).
cnf(i_0_6,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_6) ).
cnf(i_0_24,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_24) ).
cnf(i_0_49,negated_conjecture,
relation(esk11_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_49) ).
cnf(i_0_11,plain,
( X1 = X2
| in(X1,X3)
| X3 != fiber(X4,X2)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_11) ).
cnf(i_0_46,plain,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_46) ).
cnf(i_0_14,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_14) ).
cnf(i_0_13,plain,
( X1 != X2
| X3 != fiber(X4,X2)
| ~ relation(X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_13) ).
cnf(i_0_48,negated_conjecture,
~ subset(fiber(relation_restriction(esk11_0,esk9_0),esk10_0),fiber(esk11_0,esk10_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3a5ez4q9/input.p',i_0_48) ).
cnf(c_0_60,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != fiber(X3,X2)
| ~ relation(X3)
| ~ in(X1,X4) ),
i_0_12 ).
cnf(c_0_61,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ in(X1,fiber(X3,X2))
| ~ relation(X3) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_62,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
i_0_15 ).
cnf(c_0_63,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_6 ).
cnf(c_0_64,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_24 ).
cnf(c_0_65,negated_conjecture,
relation(esk11_0),
i_0_49 ).
cnf(c_0_66,plain,
( in(unordered_pair(unordered_pair(X1,esk2_2(fiber(X2,X1),X3)),singleton(esk2_2(fiber(X2,X1),X3))),X2)
| subset(fiber(X2,X1),X3)
| ~ relation(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_67,negated_conjecture,
relation(relation_restriction(esk11_0,X1)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
( X1 = X2
| in(X1,X3)
| X3 != fiber(X4,X2)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
i_0_11 ).
cnf(c_0_69,plain,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
i_0_46 ).
cnf(c_0_70,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk2_2(fiber(relation_restriction(esk11_0,X2),X1),X3)),singleton(esk2_2(fiber(relation_restriction(esk11_0,X2),X1),X3))),relation_restriction(esk11_0,X2))
| subset(fiber(relation_restriction(esk11_0,X2),X1),X3) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,plain,
( X1 = X2
| in(X1,X3)
| X3 != fiber(X4,X2)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X1)),X4)
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_68,c_0_63]) ).
cnf(c_0_72,plain,
( in(unordered_pair(unordered_pair(X1,esk2_2(fiber(relation_restriction(esk11_0,X2),X1),X3)),singleton(esk2_2(fiber(relation_restriction(esk11_0,X2),X1),X3))),esk11_0)
| subset(fiber(relation_restriction(esk11_0,X2),X1),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_65])]) ).
cnf(c_0_73,plain,
( esk2_2(fiber(relation_restriction(esk11_0,X1),X2),X3) = X2
| in(esk2_2(fiber(relation_restriction(esk11_0,X1),X2),X3),X4)
| subset(fiber(relation_restriction(esk11_0,X1),X2),X3)
| X4 != fiber(esk11_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_65])]) ).
cnf(c_0_74,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
i_0_14 ).
cnf(c_0_75,plain,
( esk2_2(fiber(relation_restriction(esk11_0,X1),X2),X3) = X2
| in(esk2_2(fiber(relation_restriction(esk11_0,X1),X2),X3),fiber(esk11_0,X2))
| subset(fiber(relation_restriction(esk11_0,X1),X2),X3) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_76,plain,
( X1 != X2
| X3 != fiber(X4,X2)
| ~ relation(X4)
| ~ in(X1,X3) ),
i_0_13 ).
cnf(c_0_77,plain,
( esk2_2(fiber(relation_restriction(esk11_0,X1),X2),fiber(esk11_0,X2)) = X2
| subset(fiber(relation_restriction(esk11_0,X1),X2),fiber(esk11_0,X2)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
( X1 != fiber(X2,X3)
| ~ in(X3,X1)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_79,negated_conjecture,
~ subset(fiber(relation_restriction(esk11_0,esk9_0),esk10_0),fiber(esk11_0,esk10_0)),
i_0_48 ).
cnf(c_0_80,plain,
( in(X1,fiber(relation_restriction(esk11_0,X2),X1))
| subset(fiber(relation_restriction(esk11_0,X2),X1),fiber(esk11_0,X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_77]) ).
cnf(c_0_81,plain,
( ~ in(X1,fiber(X2,X1))
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_78]) ).
cnf(c_0_82,negated_conjecture,
in(esk10_0,fiber(relation_restriction(esk11_0,esk9_0),esk10_0)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_67])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU251+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n009.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 : Mon Jun 20 04:55:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 13.94/3.48 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.94/3.48 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.94/3.48 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 32; version: 991; iters: 150)
% 13.94/3.48 # Preprocessing time : 0.721 s
% 13.94/3.48
% 13.94/3.48 # Proof found!
% 13.94/3.48 # SZS status Theorem
% 13.94/3.48 # SZS output start CNFRefutation
% See solution above
% 13.94/3.48 # Training examples: 0 positive, 0 negative
% 13.94/3.48
% 13.94/3.48 # -------------------------------------------------
% 13.94/3.48 # User time : 0.694 s
% 13.94/3.48 # System time : 0.092 s
% 13.94/3.48 # Total time : 0.786 s
% 13.94/3.48 # ...preprocessing : 0.721 s
% 13.94/3.48 # ...main loop : 0.065 s
% 13.94/3.48 # Maximum resident set size: 151352 pages
% 13.94/3.48
%------------------------------------------------------------------------------