TSTP Solution File: SET996+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET996+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 00:15:46 EDT 2022
% Result : Theorem 17.13s 3.60s
% Output : CNFRefutation 17.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of clauses : 69 ( 12 unt; 10 nHn; 48 RR)
% Number of literals : 167 ( 46 equ; 94 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 123 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
( apply(esk14_3(X1,X2,X3),X4) = X3
| ~ in(X4,X2)
| ~ element(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_42) ).
cnf(i_0_11,plain,
( apply(X1,esk2_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_11) ).
cnf(i_0_44,plain,
( function(esk14_3(X1,X2,X3))
| ~ element(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_44) ).
cnf(i_0_45,plain,
( relation(esk14_3(X1,X2,X3))
| ~ element(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_45) ).
cnf(i_0_12,plain,
( in(esk2_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_12) ).
cnf(i_0_43,plain,
( relation_dom(esk14_3(X1,X2,X3)) = X2
| ~ element(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_43) ).
cnf(i_0_8,plain,
( X1 = relation_rng(X2)
| in(esk3_2(X2,X1),X1)
| in(esk4_2(X2,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_8) ).
cnf(i_0_15,plain,
relation(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_15) ).
cnf(i_0_5,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_5) ).
cnf(i_0_2,plain,
( function(X1)
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_2) ).
cnf(i_0_16,plain,
empty(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_16) ).
cnf(i_0_55,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_55) ).
cnf(i_0_24,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_24) ).
cnf(i_0_4,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_4) ).
cnf(i_0_46,negated_conjecture,
( relation_dom(X1) != esk16_0
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),esk15_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_46) ).
cnf(i_0_56,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_56) ).
cnf(i_0_51,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_51) ).
cnf(i_0_26,plain,
( empty(relation_rng(X1))
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_26) ).
cnf(i_0_41,plain,
subset(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_41) ).
cnf(i_0_50,plain,
subset(empty_set,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_50) ).
cnf(i_0_3,plain,
( relation(X1)
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_3) ).
cnf(i_0_47,negated_conjecture,
( esk16_0 = empty_set
| esk15_0 != empty_set ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyz4iui7/input.p',i_0_47) ).
cnf(c_0_79,plain,
( apply(esk14_3(X1,X2,X3),X4) = X3
| ~ in(X4,X2)
| ~ element(X3,X1) ),
i_0_42 ).
cnf(c_0_80,plain,
( apply(X1,esk2_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_11 ).
cnf(c_0_81,plain,
( function(esk14_3(X1,X2,X3))
| ~ element(X3,X1) ),
i_0_44 ).
cnf(c_0_82,plain,
( relation(esk14_3(X1,X2,X3))
| ~ element(X3,X1) ),
i_0_45 ).
cnf(c_0_83,plain,
( in(esk2_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_12 ).
cnf(c_0_84,plain,
( relation_dom(esk14_3(X1,X2,X3)) = X2
| ~ element(X3,X1) ),
i_0_43 ).
cnf(c_0_85,plain,
( X1 = X2
| X3 != relation_rng(esk14_3(X4,X5,X2))
| ~ in(esk2_3(esk14_3(X4,X5,X2),X3,X1),X5)
| ~ in(X1,X3)
| ~ element(X2,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]) ).
cnf(c_0_86,plain,
( in(esk2_3(esk14_3(X1,X2,X3),X4,X5),X2)
| X4 != relation_rng(esk14_3(X1,X2,X3))
| ~ in(X5,X4)
| ~ element(X3,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_81]),c_0_82]) ).
cnf(c_0_87,plain,
( X1 = X2
| X3 != relation_rng(esk14_3(X4,X5,X2))
| ~ in(X1,X3)
| ~ element(X2,X4) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_88,plain,
( X1 = relation_rng(X2)
| in(esk3_2(X2,X1),X1)
| in(esk4_2(X2,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
i_0_8 ).
cnf(c_0_89,plain,
relation(empty_set),
i_0_15 ).
cnf(c_0_90,plain,
( X1 = X2
| ~ in(X1,relation_rng(esk14_3(X3,X4,X2)))
| ~ element(X2,X3) ),
inference(er,[status(thm)],[c_0_87]) ).
cnf(c_0_91,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_5 ).
cnf(c_0_92,plain,
( X1 = relation_rng(empty_set)
| in(esk4_2(empty_set,X1),relation_dom(empty_set))
| in(esk3_2(empty_set,X1),X1)
| ~ function(empty_set) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_93,plain,
( function(X1)
| ~ empty(X1) ),
i_0_2 ).
cnf(c_0_94,plain,
empty(empty_set),
i_0_16 ).
cnf(c_0_95,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_55 ).
cnf(c_0_96,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
i_0_24 ).
cnf(c_0_97,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_4 ).
cnf(c_0_98,plain,
( esk1_2(relation_rng(esk14_3(X1,X2,X3)),X4) = X3
| subset(relation_rng(esk14_3(X1,X2,X3)),X4)
| ~ element(X3,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_99,plain,
( X1 = relation_rng(empty_set)
| in(esk4_2(empty_set,X1),relation_dom(empty_set))
| in(esk3_2(empty_set,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_100,plain,
( relation_dom(X1) = empty_set
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( relation_dom(X1) != esk16_0
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),esk15_0) ),
i_0_46 ).
cnf(c_0_102,plain,
( subset(relation_rng(esk14_3(X1,X2,X3)),X4)
| ~ in(X3,X4)
| ~ element(X3,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_56 ).
cnf(c_0_104,plain,
( X1 = relation_rng(empty_set)
| in(esk4_2(empty_set,X1),empty_set)
| in(esk3_2(empty_set,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_94])]) ).
cnf(c_0_105,negated_conjecture,
( relation_dom(esk14_3(X1,X2,X3)) != esk16_0
| ~ in(X3,esk15_0)
| ~ element(X3,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_81]),c_0_82]) ).
cnf(c_0_106,plain,
( X1 = relation_rng(empty_set)
| in(esk3_2(empty_set,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_94])]) ).
cnf(c_0_107,plain,
( X1 != esk16_0
| ~ in(X2,esk15_0)
| ~ element(X2,X3) ),
inference(spm,[status(thm)],[c_0_105,c_0_84]) ).
cnf(c_0_108,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_51 ).
cnf(c_0_109,plain,
( X1 = relation_rng(empty_set)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_106]) ).
cnf(c_0_110,plain,
( empty(relation_rng(X1))
| ~ empty(X1) ),
i_0_26 ).
cnf(c_0_111,plain,
( X1 != esk16_0
| ~ in(X2,esk15_0)
| ~ subset(X2,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,plain,
subset(X1,X1),
i_0_41 ).
cnf(c_0_113,plain,
relation_rng(empty_set) = empty_set,
inference(spm,[status(thm)],[c_0_109,c_0_94]) ).
cnf(c_0_114,plain,
( relation_rng(X1) = empty_set
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_110]) ).
cnf(c_0_115,plain,
subset(empty_set,X1),
i_0_50 ).
cnf(c_0_116,plain,
( relation(X1)
| ~ empty(X1) ),
i_0_3 ).
cnf(c_0_117,plain,
( X1 != esk16_0
| ~ in(X2,esk15_0) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
( X1 = empty_set
| in(esk3_2(empty_set,X1),X1) ),
inference(rw,[status(thm)],[c_0_106,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( relation_dom(X1) != esk16_0
| ~ empty(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_114]),c_0_115])]),c_0_93]),c_0_116]) ).
cnf(c_0_120,plain,
( esk15_0 = empty_set
| X1 != esk16_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,plain,
( esk16_0 != empty_set
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_100]) ).
cnf(c_0_122,negated_conjecture,
( esk16_0 = empty_set
| esk15_0 != empty_set ),
i_0_47 ).
cnf(c_0_123,plain,
esk15_0 = empty_set,
inference(er,[status(thm)],[c_0_120]) ).
cnf(c_0_124,plain,
esk16_0 != empty_set,
inference(spm,[status(thm)],[c_0_121,c_0_94]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET996+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 21:56:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 17.13/3.60 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.13/3.60 # 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: 47; version: 991; iters: 150)
% 17.13/3.60 # Preprocessing time : 1.128 s
% 17.13/3.60
% 17.13/3.60 # Proof found!
% 17.13/3.60 # SZS status Theorem
% 17.13/3.60 # SZS output start CNFRefutation
% See solution above
% 17.13/3.60 # Training examples: 0 positive, 0 negative
% 17.13/3.60
% 17.13/3.60 # -------------------------------------------------
% 17.13/3.60 # User time : 1.040 s
% 17.13/3.60 # System time : 0.132 s
% 17.13/3.60 # Total time : 1.173 s
% 17.13/3.60 # ...preprocessing : 1.128 s
% 17.13/3.60 # ...main loop : 0.045 s
% 17.13/3.60 # Maximum resident set size: 176124 pages
% 17.13/3.60
%------------------------------------------------------------------------------