TSTP Solution File: SEU181+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU181+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 08:39:15 EDT 2022
% Result : Theorem 15.79s 3.32s
% Output : CNFRefutation 15.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 50 ( 6 unt; 8 nHn; 40 RR)
% Number of literals : 176 ( 55 equ; 121 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-3 aty)
% Number of variables : 129 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != relation_inverse(X3)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_21) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_2) ).
cnf(i_0_16,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-ijtvm_4e/input.p',i_0_16) ).
cnf(i_0_12,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-ijtvm_4e/input.p',i_0_12) ).
cnf(i_0_11,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-ijtvm_4e/input.p',i_0_11) ).
cnf(i_0_15,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-ijtvm_4e/input.p',i_0_15) ).
cnf(i_0_7,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_7) ).
cnf(i_0_37,plain,
( relation_inverse(relation_inverse(X1)) = X1
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_37) ).
cnf(i_0_28,plain,
( relation(relation_inverse(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_28) ).
cnf(i_0_6,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_6) ).
cnf(i_0_3,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_3) ).
cnf(i_0_49,negated_conjecture,
( relation_rng(relation_inverse(esk16_0)) != relation_dom(esk16_0)
| relation_dom(relation_inverse(esk16_0)) != relation_rng(esk16_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_49) ).
cnf(i_0_50,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ijtvm_4e/input.p',i_0_50) ).
cnf(c_0_64,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != relation_inverse(X3)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X4) ),
i_0_21 ).
cnf(c_0_65,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_2 ).
cnf(c_0_66,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_16 ).
cnf(c_0_67,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_12 ).
cnf(c_0_68,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_11 ).
cnf(c_0_69,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != relation_inverse(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X2)),X4)
| ~ relation(X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,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_66,c_0_65]) ).
cnf(c_0_71,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
i_0_15 ).
cnf(c_0_72,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X4 != relation_inverse(X3)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),X4)
| ~ relation(X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,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_67,c_0_65]) ).
cnf(c_0_74,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_68,c_0_65]) ).
cnf(c_0_75,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_3(X2,X3,X1))),X4)
| X2 != relation_inverse(X4)
| X3 != relation_rng(X2)
| ~ in(X1,X3)
| ~ relation(X2)
| ~ relation(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_65]) ).
cnf(c_0_76,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_71,c_0_65]) ).
cnf(c_0_77,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,X3,X1)),singleton(esk2_3(X2,X3,X1))),X4)
| X2 != relation_inverse(X4)
| X3 != relation_dom(X2)
| ~ in(X1,X3)
| ~ relation(X2)
| ~ relation(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_65]) ).
cnf(c_0_78,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| X4 != relation_inverse(X3)
| X5 != relation_rng(X4)
| ~ in(X1,X5)
| ~ relation(X3)
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_7 ).
cnf(c_0_80,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X4 != relation_inverse(X3)
| X5 != relation_dom(X4)
| ~ in(X1,X5)
| ~ relation(X3)
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,plain,
( in(esk1_2(X1,X2),X3)
| subset(X1,X2)
| X3 != relation_dom(X4)
| X5 != relation_inverse(X4)
| X1 != relation_rng(X5)
| ~ relation(X4)
| ~ relation(X5) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
( in(esk1_2(X1,X2),X3)
| subset(X1,X2)
| X3 != relation_rng(X4)
| X5 != relation_inverse(X4)
| X1 != relation_dom(X5)
| ~ relation(X4)
| ~ relation(X5) ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_83,plain,
( in(esk1_2(X1,X2),relation_dom(X3))
| subset(X1,X2)
| X4 != relation_inverse(X3)
| X1 != relation_rng(X4)
| ~ relation(X3)
| ~ relation(X4) ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_84,plain,
( relation_inverse(relation_inverse(X1)) = X1
| ~ relation(X1) ),
i_0_37 ).
cnf(c_0_85,plain,
( relation(relation_inverse(X1))
| ~ relation(X1) ),
i_0_28 ).
cnf(c_0_86,plain,
( in(esk1_2(X1,X2),relation_rng(X3))
| subset(X1,X2)
| X4 != relation_inverse(X3)
| X1 != relation_dom(X4)
| ~ relation(X3)
| ~ relation(X4) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_87,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_6 ).
cnf(c_0_88,plain,
( in(esk1_2(X1,X2),relation_dom(relation_inverse(X3)))
| subset(X1,X2)
| X1 != relation_rng(X3)
| ~ relation(X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84])]),c_0_85]) ).
cnf(c_0_89,plain,
( in(esk1_2(X1,X2),relation_rng(X3))
| subset(X1,X2)
| X1 != relation_dom(relation_inverse(X3))
| ~ relation(X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_86]),c_0_85]) ).
cnf(c_0_90,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_3 ).
cnf(c_0_91,plain,
( subset(X1,relation_dom(relation_inverse(X2)))
| X1 != relation_rng(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,plain,
( subset(X1,relation_rng(X2))
| X1 != relation_dom(relation_inverse(X2))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_89]) ).
cnf(c_0_93,plain,
( relation_dom(relation_inverse(X1)) = X2
| X2 != relation_rng(X1)
| ~ subset(relation_dom(relation_inverse(X1)),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_94,plain,
( subset(relation_dom(relation_inverse(X1)),relation_rng(X1))
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_92]) ).
cnf(c_0_95,negated_conjecture,
( relation_rng(relation_inverse(esk16_0)) != relation_dom(esk16_0)
| relation_dom(relation_inverse(esk16_0)) != relation_rng(esk16_0) ),
i_0_49 ).
cnf(c_0_96,plain,
( relation_dom(relation_inverse(X1)) = relation_rng(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,negated_conjecture,
relation(esk16_0),
i_0_50 ).
cnf(c_0_98,negated_conjecture,
relation_rng(relation_inverse(esk16_0)) != relation_dom(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
cnf(c_0_99,plain,
( relation_rng(relation_inverse(X1)) = relation_dom(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_84]),c_0_85]) ).
cnf(c_0_100,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_97])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n009.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 : Sat Jun 18 19:27:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 15.79/3.32 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.79/3.32 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 15.79/3.32 # Preprocessing time : 0.857 s
% 15.79/3.32
% 15.79/3.32 # Proof found!
% 15.79/3.32 # SZS status Theorem
% 15.79/3.32 # SZS output start CNFRefutation
% See solution above
% 15.79/3.32 # Training examples: 0 positive, 0 negative
% 15.79/3.32
% 15.79/3.32 # -------------------------------------------------
% 15.79/3.32 # User time : 0.933 s
% 15.79/3.32 # System time : 0.109 s
% 15.79/3.32 # Total time : 1.041 s
% 15.79/3.32 # ...preprocessing : 0.857 s
% 15.79/3.32 # ...main loop : 0.185 s
% 15.79/3.32 # Maximum resident set size: 168148 pages
% 15.79/3.32
%------------------------------------------------------------------------------