%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU070+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:38:18 EDT 2022
% Result : Theorem 17.73s 3.67s
% Output : CNFRefutation 17.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of clauses : 48 ( 10 unt; 4 nHn; 38 RR)
% Number of literals : 155 ( 33 equ; 106 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 164 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_18) ).
cnf(i_0_7,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_7) ).
cnf(i_0_20,plain,
( in(unordered_pair(unordered_pair(X1,esk4_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_20) ).
cnf(i_0_27,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_27) ).
cnf(i_0_12,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_12) ).
cnf(i_0_19,plain,
( in(esk4_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_19) ).
cnf(i_0_28,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_28) ).
cnf(i_0_21,plain,
( subset(X1,X2)
| ~ in(esk7_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_21) ).
cnf(i_0_22,plain,
( subset(X1,X2)
| in(esk7_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_22) ).
cnf(i_0_29,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_29) ).
cnf(i_0_65,negated_conjecture,
~ subset(set_intersection2(esk20_0,relation_inverse_image(esk22_0,esk21_0)),relation_inverse_image(esk22_0,set_intersection2(relation_image(esk22_0,esk20_0),esk21_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_65) ).
cnf(i_0_8,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_8) ).
cnf(i_0_66,negated_conjecture,
relation(esk22_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d8b6cg4k/input.p',i_0_66) ).
cnf(c_0_80,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
i_0_18 ).
cnf(c_0_81,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_7 ).
cnf(c_0_82,plain,
( in(unordered_pair(unordered_pair(X1,esk4_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
i_0_20 ).
cnf(c_0_83,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3)
| ~ in(X5,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_4(X2,X3,X4,X1))),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ in(X1,X4)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_82,c_0_81]) ).
cnf(c_0_85,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_27 ).
cnf(c_0_86,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
i_0_12 ).
cnf(c_0_87,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| X5 != relation_inverse_image(X3,X6)
| ~ in(esk4_4(X3,X6,X5,X1),X4)
| ~ in(X1,X5)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_89,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X1)),X3)
| ~ in(X5,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_81]) ).
cnf(c_0_90,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,set_intersection2(X4,X5))
| X6 != relation_inverse_image(X3,X7)
| ~ in(esk4_4(X3,X7,X6,X1),X5)
| ~ in(esk4_4(X3,X7,X6,X1),X4)
| ~ in(X1,X6)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_91,plain,
( in(esk4_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_19 ).
cnf(c_0_92,plain,
( in(esk4_4(X1,X2,X3,X4),X5)
| X5 != relation_image(X1,X6)
| X3 != relation_inverse_image(X1,X2)
| ~ in(X4,X6)
| ~ in(X4,X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_84]) ).
cnf(c_0_93,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,set_intersection2(X4,X5))
| X6 != relation_inverse_image(X3,X5)
| ~ in(esk4_4(X3,X5,X6,X1),X4)
| ~ in(X1,X6)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_94,plain,
( in(esk4_4(X1,X2,X3,X4),relation_image(X1,X5))
| X3 != relation_inverse_image(X1,X2)
| ~ in(X4,X5)
| ~ in(X4,X3)
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_92]) ).
cnf(c_0_95,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,set_intersection2(relation_image(X3,X4),X5))
| X6 != relation_inverse_image(X3,X5)
| ~ in(X1,X6)
| ~ in(X1,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_96,plain,
( in(X1,relation_inverse_image(X2,set_intersection2(relation_image(X2,X3),X4)))
| X5 != relation_inverse_image(X2,X4)
| ~ in(X1,X5)
| ~ in(X1,X3)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_95]) ).
cnf(c_0_97,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
i_0_28 ).
cnf(c_0_98,plain,
( subset(X1,X2)
| ~ in(esk7_2(X1,X2),X2) ),
i_0_21 ).
cnf(c_0_99,plain,
( in(X1,relation_inverse_image(X2,set_intersection2(relation_image(X2,X3),X4)))
| ~ in(X1,relation_inverse_image(X2,X4))
| ~ in(X1,X3)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_100,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_97]) ).
cnf(c_0_101,plain,
( subset(X1,X2)
| in(esk7_2(X1,X2),X1) ),
i_0_22 ).
cnf(c_0_102,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
i_0_29 ).
cnf(c_0_103,plain,
( subset(X1,relation_inverse_image(X2,set_intersection2(relation_image(X2,X3),X4)))
| ~ in(esk7_2(X1,relation_inverse_image(X2,set_intersection2(relation_image(X2,X3),X4))),relation_inverse_image(X2,X4))
| ~ in(esk7_2(X1,relation_inverse_image(X2,set_intersection2(relation_image(X2,X3),X4))),X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
( in(esk7_2(set_intersection2(X1,X2),X3),X2)
| subset(set_intersection2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_102]) ).
cnf(c_0_106,plain,
( subset(set_intersection2(X1,relation_inverse_image(X2,X3)),relation_inverse_image(X2,set_intersection2(relation_image(X2,X4),X3)))
| ~ in(esk7_2(set_intersection2(X1,relation_inverse_image(X2,X3)),relation_inverse_image(X2,set_intersection2(relation_image(X2,X4),X3))),X4)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,plain,
( in(esk7_2(set_intersection2(X1,X2),X3),X1)
| subset(set_intersection2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_105,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
~ subset(set_intersection2(esk20_0,relation_inverse_image(esk22_0,esk21_0)),relation_inverse_image(esk22_0,set_intersection2(relation_image(esk22_0,esk20_0),esk21_0))),
i_0_65 ).
cnf(c_0_109,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_8 ).
cnf(c_0_110,plain,
( subset(set_intersection2(X1,relation_inverse_image(X2,X3)),relation_inverse_image(X2,set_intersection2(relation_image(X2,X1),X3)))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
~ subset(set_intersection2(esk20_0,relation_inverse_image(esk22_0,esk21_0)),relation_inverse_image(esk22_0,set_intersection2(esk21_0,relation_image(esk22_0,esk20_0)))),
inference(rw,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,plain,
( subset(set_intersection2(X1,relation_inverse_image(X2,X3)),relation_inverse_image(X2,set_intersection2(X3,relation_image(X2,X1))))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_109]) ).
cnf(c_0_113,negated_conjecture,
relation(esk22_0),
i_0_66 ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU070+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n007.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 18:26:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 17.73/3.67 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.73/3.67 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 34; version: 991; iters: 150)
% 17.73/3.67 # Preprocessing time : 1.137 s
% 17.73/3.67
% 17.73/3.67 # Proof found!
% 17.73/3.67 # SZS status Theorem
% 17.73/3.67 # SZS output start CNFRefutation
% See solution above
% 17.73/3.67 # Training examples: 0 positive, 0 negative
% 17.73/3.67
% 17.73/3.67 # -------------------------------------------------
% 17.73/3.67 # User time : 1.131 s
% 17.73/3.67 # System time : 0.132 s
% 17.73/3.67 # Total time : 1.263 s
% 17.73/3.67 # ...preprocessing : 1.137 s
% 17.73/3.67 # ...main loop : 0.126 s
% 17.73/3.67 # Maximum resident set size: 174780 pages
% 17.73/3.67
%------------------------------------------------------------------------------