TSTP Solution File: SEU179+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 08:39:14 EDT 2022
% Result : Theorem 13.17s 2.89s
% Output : CNFRefutation 13.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 45 ( 11 unt; 16 nHn; 27 RR)
% Number of literals : 115 ( 18 equ; 57 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 84 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
( in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),X3),singleton(esk5_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_13) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_2) ).
cnf(i_0_4,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_4) ).
cnf(i_0_9,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_9) ).
cnf(i_0_42,negated_conjecture,
relation(esk14_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_42) ).
cnf(i_0_5,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_5) ).
cnf(i_0_12,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_12) ).
cnf(i_0_40,negated_conjecture,
subset(esk14_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_40) ).
cnf(i_0_41,negated_conjecture,
relation(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_41) ).
cnf(i_0_8,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_8) ).
cnf(i_0_3,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_3) ).
cnf(i_0_39,negated_conjecture,
( ~ subset(relation_dom(esk14_0),relation_dom(esk15_0))
| ~ subset(relation_rng(esk14_0),relation_rng(esk15_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iwp1w0na/input.p',i_0_39) ).
cnf(c_0_55,plain,
( in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),X3),singleton(esk5_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_13 ).
cnf(c_0_56,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_2 ).
cnf(c_0_57,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X2)
| X3 != relation_rng(X2)
| ~ in(X1,X3)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_4 ).
cnf(c_0_59,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_9 ).
cnf(c_0_60,plain,
( in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk5_3(X3,X1,esk1_2(X1,X2))),singleton(esk5_3(X3,X1,esk1_2(X1,X2)))),X3)
| subset(X1,X2)
| X1 != relation_rng(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ in(X1,X3)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_59,c_0_56]) ).
cnf(c_0_62,plain,
( in(unordered_pair(unordered_pair(esk1_2(relation_rng(X1),X2),esk5_3(X1,relation_rng(X1),esk1_2(relation_rng(X1),X2))),singleton(esk5_3(X1,relation_rng(X1),esk1_2(relation_rng(X1),X2)))),X1)
| subset(relation_rng(X1),X2)
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_63,negated_conjecture,
relation(esk14_0),
i_0_42 ).
cnf(c_0_64,plain,
( in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_3(X3,X1,esk1_2(X1,X2)))),X3)
| subset(X1,X2)
| X1 != relation_dom(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_58]) ).
cnf(c_0_65,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_5 ).
cnf(c_0_66,negated_conjecture,
( in(unordered_pair(unordered_pair(esk1_2(relation_rng(esk14_0),X1),esk5_3(esk14_0,relation_rng(esk14_0),esk1_2(relation_rng(esk14_0),X1))),singleton(esk5_3(esk14_0,relation_rng(esk14_0),esk1_2(relation_rng(esk14_0),X1)))),esk14_0)
| subset(relation_rng(esk14_0),X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( in(unordered_pair(singleton(esk1_2(relation_dom(X1),X2)),unordered_pair(esk1_2(relation_dom(X1),X2),esk2_3(X1,relation_dom(X1),esk1_2(relation_dom(X1),X2)))),X1)
| subset(relation_dom(X1),X2)
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_68,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
i_0_12 ).
cnf(c_0_69,plain,
( in(unordered_pair(unordered_pair(esk1_2(relation_rng(esk14_0),X1),esk5_3(esk14_0,relation_rng(esk14_0),esk1_2(relation_rng(esk14_0),X1))),singleton(esk5_3(esk14_0,relation_rng(esk14_0),esk1_2(relation_rng(esk14_0),X1)))),X2)
| subset(relation_rng(esk14_0),X1)
| ~ subset(esk14_0,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,negated_conjecture,
subset(esk14_0,esk15_0),
i_0_40 ).
cnf(c_0_71,negated_conjecture,
( in(unordered_pair(singleton(esk1_2(relation_dom(esk14_0),X1)),unordered_pair(esk1_2(relation_dom(esk14_0),X1),esk2_3(esk14_0,relation_dom(esk14_0),esk1_2(relation_dom(esk14_0),X1)))),esk14_0)
| subset(relation_dom(esk14_0),X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_63]) ).
cnf(c_0_72,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X4)),X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_56]) ).
cnf(c_0_73,negated_conjecture,
( in(unordered_pair(unordered_pair(esk1_2(relation_rng(esk14_0),X1),esk5_3(esk14_0,relation_rng(esk14_0),esk1_2(relation_rng(esk14_0),X1))),singleton(esk5_3(esk14_0,relation_rng(esk14_0),esk1_2(relation_rng(esk14_0),X1)))),esk15_0)
| subset(relation_rng(esk14_0),X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
relation(esk15_0),
i_0_41 ).
cnf(c_0_75,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_8 ).
cnf(c_0_76,plain,
( in(unordered_pair(singleton(esk1_2(relation_dom(esk14_0),X1)),unordered_pair(esk1_2(relation_dom(esk14_0),X1),esk2_3(esk14_0,relation_dom(esk14_0),esk1_2(relation_dom(esk14_0),X1)))),X2)
| subset(relation_dom(esk14_0),X1)
| ~ subset(esk14_0,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_71]) ).
cnf(c_0_77,plain,
( in(esk1_2(relation_rng(esk14_0),X1),X2)
| subset(relation_rng(esk14_0),X1)
| X2 != relation_rng(esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_78,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_75,c_0_56]) ).
cnf(c_0_79,negated_conjecture,
( in(unordered_pair(singleton(esk1_2(relation_dom(esk14_0),X1)),unordered_pair(esk1_2(relation_dom(esk14_0),X1),esk2_3(esk14_0,relation_dom(esk14_0),esk1_2(relation_dom(esk14_0),X1)))),esk15_0)
| subset(relation_dom(esk14_0),X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_70]) ).
cnf(c_0_80,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_3 ).
cnf(c_0_81,plain,
( in(esk1_2(relation_rng(esk14_0),X1),relation_rng(esk15_0))
| subset(relation_rng(esk14_0),X1) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_82,plain,
( in(esk1_2(relation_dom(esk14_0),X1),X2)
| subset(relation_dom(esk14_0),X1)
| X2 != relation_dom(esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_74])]) ).
cnf(c_0_83,negated_conjecture,
( ~ subset(relation_dom(esk14_0),relation_dom(esk15_0))
| ~ subset(relation_rng(esk14_0),relation_rng(esk15_0)) ),
i_0_39 ).
cnf(c_0_84,plain,
subset(relation_rng(esk14_0),relation_rng(esk15_0)),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,plain,
( in(esk1_2(relation_dom(esk14_0),X1),relation_dom(esk15_0))
| subset(relation_dom(esk14_0),X1) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_86,negated_conjecture,
~ subset(relation_dom(esk14_0),relation_dom(esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_87,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_85]),c_0_86]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sun Jun 19 03:22:34 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 # ENIGMATIC: Selected complete mode:
% 13.17/2.89 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.17/2.89 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.17/2.89 # 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)
% 13.17/2.89 # Preprocessing time : 0.687 s
% 13.17/2.89
% 13.17/2.89 # Proof found!
% 13.17/2.89 # SZS status Theorem
% 13.17/2.89 # SZS output start CNFRefutation
% See solution above
% 13.17/2.89 # Training examples: 0 positive, 0 negative
% 13.17/2.89
% 13.17/2.89 # -------------------------------------------------
% 13.17/2.89 # User time : 0.666 s
% 13.17/2.89 # System time : 0.101 s
% 13.17/2.89 # Total time : 0.767 s
% 13.17/2.89 # ...preprocessing : 0.687 s
% 13.17/2.89 # ...main loop : 0.080 s
% 13.17/2.89 # Maximum resident set size: 151256 pages
% 13.17/2.89
%------------------------------------------------------------------------------