TSTP Solution File: SEU051+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU051+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:38:12 EDT 2022
% Result : Theorem 14.44s 3.29s
% Output : CNFRefutation 14.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 7 unt; 3 nHn; 31 RR)
% Number of literals : 158 ( 29 equ; 118 neg)
% Maximal clause size : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 119 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_70,plain,
( apply(X1,X2) = apply(X3,X2)
| X1 != relation_rng_restriction(X4,X3)
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_70) ).
cnf(i_0_27,plain,
( function(relation_rng_restriction(X1,X2))
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_27) ).
cnf(i_0_18,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_18) ).
cnf(i_0_11,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/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_11) ).
cnf(i_0_12,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/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_12) ).
cnf(i_0_73,plain,
( in(X1,relation_dom(X2))
| X3 != relation_rng_restriction(X4,X2)
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_73) ).
cnf(i_0_14,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/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_14) ).
cnf(i_0_13,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_13) ).
cnf(i_0_16,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_16) ).
cnf(i_0_15,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_15) ).
cnf(i_0_53,negated_conjecture,
~ subset(relation_image(relation_rng_restriction(esk16_0,esk18_0),esk17_0),relation_image(esk18_0,esk17_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_53) ).
cnf(i_0_55,negated_conjecture,
relation(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_55) ).
cnf(i_0_54,negated_conjecture,
function(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aju_ga0a/input.p',i_0_54) ).
cnf(c_0_87,plain,
( apply(X1,X2) = apply(X3,X2)
| X1 != relation_rng_restriction(X4,X3)
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1)) ),
i_0_70 ).
cnf(c_0_88,plain,
( function(relation_rng_restriction(X1,X2))
| ~ function(X2)
| ~ relation(X2) ),
i_0_27 ).
cnf(c_0_89,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
i_0_18 ).
cnf(c_0_90,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_11 ).
cnf(c_0_91,plain,
( apply(relation_rng_restriction(X1,X2),X3) = apply(X2,X3)
| ~ in(X3,relation_dom(relation_rng_restriction(X1,X2)))
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_92,plain,
( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_12 ).
cnf(c_0_93,plain,
( in(X1,relation_dom(X2))
| X3 != relation_rng_restriction(X4,X2)
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X3)) ),
i_0_73 ).
cnf(c_0_94,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_14 ).
cnf(c_0_95,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_90]) ).
cnf(c_0_96,plain,
( apply(X1,esk1_4(relation_rng_restriction(X2,X1),X3,X4,X5)) = X5
| X4 != relation_image(relation_rng_restriction(X2,X1),X3)
| ~ in(esk1_4(relation_rng_restriction(X2,X1),X3,X4,X5),relation_dom(relation_rng_restriction(X2,X1)))
| ~ in(X5,X4)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_88]),c_0_89]) ).
cnf(c_0_97,plain,
( in(esk1_4(X1,X2,X3,X4),relation_dom(X5))
| X1 != relation_rng_restriction(X6,X5)
| X3 != relation_image(X1,X2)
| ~ in(X4,X3)
| ~ relation(X1)
| ~ relation(X5)
| ~ function(X1)
| ~ function(X5) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
( in(apply(X1,X2),relation_image(X1,X3))
| ~ in(X2,relation_dom(X1))
| ~ in(X2,X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_95]) ).
cnf(c_0_99,plain,
( apply(X1,esk1_4(relation_rng_restriction(X2,X1),X3,X4,X5)) = X5
| X4 != relation_image(relation_rng_restriction(X2,X1),X3)
| ~ in(X5,X4)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_94]),c_0_88]),c_0_89]) ).
cnf(c_0_100,plain,
( in(esk1_4(relation_rng_restriction(X1,X2),X3,X4,X5),relation_dom(X2))
| X4 != relation_image(relation_rng_restriction(X1,X2),X3)
| ~ in(X5,X4)
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_97]),c_0_88]),c_0_89]) ).
cnf(c_0_101,plain,
( in(X1,relation_image(X2,X3))
| X4 != relation_image(relation_rng_restriction(X5,X2),X6)
| ~ in(esk1_4(relation_rng_restriction(X5,X2),X6,X4,X1),X3)
| ~ in(X1,X4)
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_102,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_13 ).
cnf(c_0_103,plain,
( in(X1,relation_image(X2,X3))
| X4 != relation_image(relation_rng_restriction(X5,X2),X3)
| ~ in(X1,X4)
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_88]),c_0_89]) ).
cnf(c_0_104,plain,
( in(X1,relation_image(X2,X3))
| ~ in(X1,relation_image(relation_rng_restriction(X4,X2),X3))
| ~ relation(X2)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_105,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
i_0_16 ).
cnf(c_0_106,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
i_0_15 ).
cnf(c_0_107,plain,
( in(esk4_2(relation_image(relation_rng_restriction(X1,X2),X3),X4),relation_image(X2,X3))
| subset(relation_image(relation_rng_restriction(X1,X2),X3),X4)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
~ subset(relation_image(relation_rng_restriction(esk16_0,esk18_0),esk17_0),relation_image(esk18_0,esk17_0)),
i_0_53 ).
cnf(c_0_109,plain,
( subset(relation_image(relation_rng_restriction(X1,X2),X3),relation_image(X2,X3))
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
relation(esk18_0),
i_0_55 ).
cnf(c_0_111,negated_conjecture,
function(esk18_0),
i_0_54 ).
cnf(c_0_112,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU051+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 20:09:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 14.44/3.29 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.44/3.29 # 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: 32; version: 991; iters: 150)
% 14.44/3.29 # Preprocessing time : 0.932 s
% 14.44/3.29
% 14.44/3.29 # Proof found!
% 14.44/3.29 # SZS status Theorem
% 14.44/3.29 # SZS output start CNFRefutation
% See solution above
% 14.44/3.29 # Training examples: 0 positive, 0 negative
% 14.44/3.29
% 14.44/3.29 # -------------------------------------------------
% 14.44/3.29 # User time : 0.862 s
% 14.44/3.29 # System time : 0.098 s
% 14.44/3.29 # Total time : 0.960 s
% 14.44/3.29 # ...preprocessing : 0.932 s
% 14.44/3.29 # ...main loop : 0.029 s
% 14.44/3.29 # Maximum resident set size: 167308 pages
% 14.44/3.29
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