TSTP Solution File: SEU052+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU052+1 : TPTP v8.1.0. Released v3.2.0.
% 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 08:38:13 EDT 2022
% Result : Theorem 17.53s 3.42s
% Output : CNFRefutation 17.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 53 ( 9 unt; 4 nHn; 45 RR)
% Number of literals : 207 ( 42 equ; 152 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 165 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| X1 != apply(X3,X5)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(X5,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_15) ).
cnf(i_0_32,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_32) ).
cnf(i_0_16,plain,
( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_16) ).
cnf(i_0_18,plain,
( in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_18) ).
cnf(i_0_25,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_25) ).
cnf(i_0_17,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_17) ).
cnf(i_0_27,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_27) ).
cnf(i_0_19,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_19) ).
cnf(i_0_20,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_20) ).
cnf(i_0_26,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_26) ).
cnf(i_0_8,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_8) ).
cnf(i_0_71,plain,
( subset(relation_image(X1,set_intersection2(X2,X3)),set_intersection2(relation_image(X1,X2),relation_image(X1,X3)))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_71) ).
cnf(i_0_67,negated_conjecture,
set_intersection2(relation_image(esk21_0,esk19_0),relation_image(esk21_0,esk20_0)) != relation_image(esk21_0,set_intersection2(esk19_0,esk20_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_67) ).
cnf(i_0_68,negated_conjecture,
one_to_one(esk21_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_68) ).
cnf(i_0_70,negated_conjecture,
relation(esk21_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_70) ).
cnf(i_0_69,negated_conjecture,
function(esk21_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7uclo081/input.p',i_0_69) ).
cnf(c_0_88,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| X1 != apply(X3,X5)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(X5,relation_dom(X3)) ),
i_0_15 ).
cnf(c_0_89,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
i_0_32 ).
cnf(c_0_90,plain,
( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_16 ).
cnf(c_0_91,plain,
( in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_18 ).
cnf(c_0_92,plain,
( in(X1,relation_image(X2,X3))
| X1 != apply(X2,X4)
| ~ in(X4,relation_dom(X2))
| ~ in(X4,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_88]) ).
cnf(c_0_93,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_25 ).
cnf(c_0_94,plain,
( esk1_4(X1,X2,X3,X4) = X5
| X4 != apply(X1,X5)
| X3 != relation_image(X1,X2)
| ~ in(X5,relation_dom(X1))
| ~ in(X4,X3)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_95,plain,
( in(X1,relation_image(X2,X3))
| X4 != relation_image(X2,X5)
| ~ in(esk1_4(X2,X5,X4,X1),X3)
| ~ in(X1,X4)
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_90])]),c_0_91]) ).
cnf(c_0_96,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_93]) ).
cnf(c_0_97,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_17 ).
cnf(c_0_98,plain,
( esk1_4(X1,X2,X3,X4) = esk1_4(X1,X5,X6,X4)
| X3 != relation_image(X1,X2)
| X6 != relation_image(X1,X5)
| ~ in(X4,X3)
| ~ in(X4,X6)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_90])]),c_0_91]) ).
cnf(c_0_99,plain,
( in(X1,relation_image(X2,set_intersection2(X3,X4)))
| X5 != relation_image(X2,X6)
| ~ in(esk1_4(X2,X6,X5,X1),X4)
| ~ in(esk1_4(X2,X6,X5,X1),X3)
| ~ in(X1,X5)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,plain,
( in(esk1_4(X1,X2,X3,X4),X5)
| X6 != relation_image(X1,X5)
| X3 != relation_image(X1,X2)
| ~ in(X4,X6)
| ~ in(X4,X3)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,plain,
( in(X1,relation_image(X2,set_intersection2(X3,X4)))
| X5 != relation_image(X2,X4)
| ~ in(esk1_4(X2,X4,X5,X1),X3)
| ~ in(X1,X5)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_97]) ).
cnf(c_0_102,plain,
( in(esk1_4(X1,X2,X3,X4),X5)
| X3 != relation_image(X1,X2)
| ~ in(X4,relation_image(X1,X5))
| ~ in(X4,X3)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_103,plain,
( in(X1,relation_image(X2,set_intersection2(X3,X4)))
| X5 != relation_image(X2,X4)
| ~ in(X1,relation_image(X2,X3))
| ~ in(X1,X5)
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_104,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
i_0_27 ).
cnf(c_0_105,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
i_0_19 ).
cnf(c_0_106,plain,
( in(X1,relation_image(X2,set_intersection2(X3,X4)))
| ~ in(X1,relation_image(X2,X3))
| ~ in(X1,relation_image(X2,X4))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_107,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_108,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
i_0_20 ).
cnf(c_0_109,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
i_0_26 ).
cnf(c_0_110,plain,
( subset(X1,relation_image(X2,set_intersection2(X3,X4)))
| ~ in(esk4_2(X1,relation_image(X2,set_intersection2(X3,X4))),relation_image(X2,X3))
| ~ in(esk4_2(X1,relation_image(X2,set_intersection2(X3,X4))),relation_image(X2,X4))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
( in(esk4_2(set_intersection2(X1,X2),X3),X1)
| subset(set_intersection2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_109]) ).
cnf(c_0_113,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_8 ).
cnf(c_0_114,plain,
( subset(relation_image(X1,set_intersection2(X2,X3)),set_intersection2(relation_image(X1,X2),relation_image(X1,X3)))
| ~ relation(X1) ),
i_0_71 ).
cnf(c_0_115,plain,
( subset(set_intersection2(relation_image(X1,X2),X3),relation_image(X1,set_intersection2(X2,X4)))
| ~ in(esk4_2(set_intersection2(relation_image(X1,X2),X3),relation_image(X1,set_intersection2(X2,X4))),relation_image(X1,X4))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_116,plain,
( in(esk4_2(set_intersection2(X1,X2),X3),X2)
| subset(set_intersection2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_112,c_0_108]) ).
cnf(c_0_117,plain,
( set_intersection2(relation_image(X1,X2),relation_image(X1,X3)) = relation_image(X1,set_intersection2(X2,X3))
| ~ subset(set_intersection2(relation_image(X1,X2),relation_image(X1,X3)),relation_image(X1,set_intersection2(X2,X3)))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
( subset(set_intersection2(relation_image(X1,X2),relation_image(X1,X3)),relation_image(X1,set_intersection2(X2,X3)))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
set_intersection2(relation_image(esk21_0,esk19_0),relation_image(esk21_0,esk20_0)) != relation_image(esk21_0,set_intersection2(esk19_0,esk20_0)),
i_0_67 ).
cnf(c_0_120,plain,
( set_intersection2(relation_image(X1,X2),relation_image(X1,X3)) = relation_image(X1,set_intersection2(X2,X3))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
one_to_one(esk21_0),
i_0_68 ).
cnf(c_0_122,negated_conjecture,
relation(esk21_0),
i_0_70 ).
cnf(c_0_123,negated_conjecture,
function(esk21_0),
i_0_69 ).
cnf(c_0_124,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122]),c_0_123])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU052+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.08 % Command : enigmatic-eprover.py %s %d 1
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Sun Jun 19 14:10:04 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.35 # ENIGMATIC: Selected complete mode:
% 17.53/3.42 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.53/3.42 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 31; version: 991; iters: 150)
% 17.53/3.42 # Preprocessing time : 1.082 s
% 17.53/3.42
% 17.53/3.42 # Proof found!
% 17.53/3.42 # SZS status Theorem
% 17.53/3.42 # SZS output start CNFRefutation
% See solution above
% 17.53/3.42 # Training examples: 0 positive, 0 negative
% 17.53/3.42
% 17.53/3.42 # -------------------------------------------------
% 17.53/3.42 # User time : 1.187 s
% 17.53/3.42 # System time : 0.132 s
% 17.53/3.42 # Total time : 1.320 s
% 17.53/3.42 # ...preprocessing : 1.082 s
% 17.53/3.42 # ...main loop : 0.237 s
% 17.53/3.42 # Maximum resident set size: 177048 pages
% 17.53/3.42
%------------------------------------------------------------------------------