TSTP Solution File: SEU091+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU091+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 08:38:24 EDT 2022
% Result : Theorem 28.34s 5.06s
% Output : CNFRefutation 28.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of clauses : 72 ( 22 unt; 17 nHn; 43 RR)
% Number of literals : 174 ( 47 equ; 86 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 143 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_28,plain,
( X1 = relation_rng(X2)
| apply(X2,esk3_2(X2,X1)) = esk2_2(X2,X1)
| in(esk2_2(X2,X1),X1)
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_28) ).
cnf(i_0_166,plain,
relation(esk30_2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_166) ).
cnf(i_0_165,plain,
function(esk30_2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_165) ).
cnf(i_0_29,plain,
( X1 = relation_rng(X2)
| in(esk2_2(X2,X1),X1)
| in(esk3_2(X2,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_29) ).
cnf(i_0_163,plain,
( apply(esk30_2(X1,X2),X3) = pair_first(X3)
| ~ in(X3,relation_dom(esk30_2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_163) ).
cnf(i_0_171,plain,
( in(pair_first(X1),X2)
| ~ in(X1,relation_dom(esk30_2(X3,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_171) ).
cnf(i_0_30,plain,
( X1 = relation_rng(X2)
| esk2_2(X2,X1) != apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(X2))
| ~ in(esk2_2(X2,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_30) ).
cnf(i_0_167,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_dom(esk30_2(X3,X4)))
| ~ in(X2,X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_167) ).
cnf(i_0_188,plain,
pair_first(unordered_pair(unordered_pair(X1,X2),singleton(X1))) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_188) ).
cnf(i_0_33,plain,
( in(esk1_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-8rcmvr0l/input.p',i_0_33) ).
cnf(i_0_39,plain,
( finite(relation_image(X1,X2))
| ~ finite(X2)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_39) ).
cnf(i_0_172,plain,
( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_172) ).
cnf(i_0_184,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_184) ).
cnf(i_0_115,plain,
element(esk15_1(X1),powerset(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_115) ).
cnf(i_0_185,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_185) ).
cnf(i_0_114,plain,
empty(esk15_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_114) ).
cnf(i_0_170,plain,
( in(pair_second(X1),X2)
| ~ in(X1,relation_dom(esk30_2(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_170) ).
cnf(i_0_186,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_186) ).
cnf(i_0_177,negated_conjecture,
finite(relation_dom(esk30_2(esk31_0,esk32_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_177) ).
cnf(i_0_175,negated_conjecture,
~ finite(esk32_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_175) ).
cnf(i_0_179,plain,
( X1 = X2
| in(esk33_2(X1,X2),X2)
| in(esk33_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_179) ).
cnf(i_0_38,plain,
empty(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_38) ).
cnf(i_0_176,negated_conjecture,
esk31_0 != empty_set,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8rcmvr0l/input.p',i_0_176) ).
cnf(c_0_212,plain,
( X1 = relation_rng(X2)
| apply(X2,esk3_2(X2,X1)) = esk2_2(X2,X1)
| in(esk2_2(X2,X1),X1)
| ~ function(X2)
| ~ relation(X2) ),
i_0_28 ).
cnf(c_0_213,plain,
relation(esk30_2(X1,X2)),
i_0_166 ).
cnf(c_0_214,plain,
function(esk30_2(X1,X2)),
i_0_165 ).
cnf(c_0_215,plain,
( X1 = relation_rng(X2)
| in(esk2_2(X2,X1),X1)
| in(esk3_2(X2,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
i_0_29 ).
cnf(c_0_216,plain,
( apply(esk30_2(X1,X2),X3) = pair_first(X3)
| ~ in(X3,relation_dom(esk30_2(X1,X2))) ),
i_0_163 ).
cnf(c_0_217,plain,
( apply(esk30_2(X1,X2),esk3_2(esk30_2(X1,X2),X3)) = esk2_2(esk30_2(X1,X2),X3)
| X3 = relation_rng(esk30_2(X1,X2))
| in(esk2_2(esk30_2(X1,X2),X3),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214])]) ).
cnf(c_0_218,plain,
( in(pair_first(X1),X2)
| ~ in(X1,relation_dom(esk30_2(X3,X2))) ),
i_0_171 ).
cnf(c_0_219,plain,
( X1 = relation_rng(esk30_2(X2,X3))
| in(esk3_2(esk30_2(X2,X3),X1),relation_dom(esk30_2(X2,X3)))
| in(esk2_2(esk30_2(X2,X3),X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_213]),c_0_214])]) ).
cnf(c_0_220,plain,
( pair_first(esk3_2(esk30_2(X1,X2),X3)) = esk2_2(esk30_2(X1,X2),X3)
| X3 = relation_rng(esk30_2(X1,X2))
| in(esk2_2(esk30_2(X1,X2),X3),X3)
| ~ in(esk3_2(esk30_2(X1,X2),X3),relation_dom(esk30_2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_221,plain,
( X1 = relation_rng(esk30_2(X2,X3))
| in(pair_first(esk3_2(esk30_2(X2,X3),X1)),X3)
| in(esk2_2(esk30_2(X2,X3),X1),X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_222,plain,
( pair_first(esk3_2(esk30_2(X1,X2),X3)) = esk2_2(esk30_2(X1,X2),X3)
| X3 = relation_rng(esk30_2(X1,X2))
| in(esk2_2(esk30_2(X1,X2),X3),X3) ),
inference(spm,[status(thm)],[c_0_220,c_0_219]) ).
cnf(c_0_223,plain,
( X1 = relation_rng(esk30_2(X2,X3))
| in(esk2_2(esk30_2(X2,X3),X1),X3)
| in(esk2_2(esk30_2(X2,X3),X1),X1) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_224,plain,
( X1 = relation_rng(X2)
| esk2_2(X2,X1) != apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(X2))
| ~ in(esk2_2(X2,X1),X1) ),
i_0_30 ).
cnf(c_0_225,plain,
( relation_rng(esk30_2(X1,X2)) = X2
| in(esk2_2(esk30_2(X1,X2),X2),X2) ),
inference(ef,[status(thm)],[c_0_223]) ).
cnf(c_0_226,plain,
( relation_rng(esk30_2(X1,X2)) = X2
| esk2_2(esk30_2(X1,X2),X2) != apply(esk30_2(X1,X2),X3)
| ~ in(X3,relation_dom(esk30_2(X1,X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_213]),c_0_214])]) ).
cnf(c_0_227,plain,
( relation_rng(esk30_2(X1,X2)) = X2
| esk2_2(esk30_2(X1,X2),X2) != pair_first(X3)
| ~ in(X3,relation_dom(esk30_2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_226,c_0_216]) ).
cnf(c_0_228,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_dom(esk30_2(X3,X4)))
| ~ in(X2,X3)
| ~ in(X1,X4) ),
i_0_167 ).
cnf(c_0_229,plain,
pair_first(unordered_pair(unordered_pair(X1,X2),singleton(X1))) = X1,
i_0_188 ).
cnf(c_0_230,plain,
( relation_rng(esk30_2(X1,X2)) = X2
| ~ in(esk2_2(esk30_2(X1,X2),X2),X2)
| ~ in(X3,X1) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229])]) ).
cnf(c_0_231,plain,
( in(esk1_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_33 ).
cnf(c_0_232,plain,
( finite(relation_image(X1,X2))
| ~ finite(X2)
| ~ function(X1)
| ~ relation(X1) ),
i_0_39 ).
cnf(c_0_233,plain,
( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
| ~ relation(X1) ),
i_0_172 ).
cnf(c_0_234,plain,
( relation_rng(esk30_2(X1,X2)) = X2
| ~ in(X3,X1) ),
inference(spm,[status(thm)],[c_0_230,c_0_225]) ).
cnf(c_0_235,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_184 ).
cnf(c_0_236,plain,
element(esk15_1(X1),powerset(X1)),
i_0_115 ).
cnf(c_0_237,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_185 ).
cnf(c_0_238,plain,
empty(esk15_1(X1)),
i_0_114 ).
cnf(c_0_239,plain,
( in(pair_second(X1),X2)
| ~ in(X1,relation_dom(esk30_2(X2,X3))) ),
i_0_170 ).
cnf(c_0_240,plain,
( in(esk1_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ in(X2,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_231]) ).
cnf(c_0_241,plain,
( finite(relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_242,plain,
( relation_rng(esk30_2(X1,X2)) = X2
| relation_rng(esk30_2(X3,X1)) = X1 ),
inference(spm,[status(thm)],[c_0_234,c_0_225]) ).
cnf(c_0_243,plain,
( ~ in(X1,esk15_1(X2))
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_244,plain,
esk15_1(X1) = empty_set,
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_245,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_186 ).
cnf(c_0_246,plain,
( in(pair_second(esk1_3(esk30_2(X1,X2),relation_rng(esk30_2(X1,X2)),X3)),X1)
| ~ in(X3,relation_rng(esk30_2(X1,X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_213]),c_0_214])]) ).
cnf(c_0_247,plain,
( relation_rng(esk30_2(X1,X2)) = X2
| finite(X3)
| ~ finite(relation_dom(esk30_2(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_213]),c_0_214])]) ).
cnf(c_0_248,negated_conjecture,
finite(relation_dom(esk30_2(esk31_0,esk32_0))),
i_0_177 ).
cnf(c_0_249,negated_conjecture,
~ finite(esk32_0),
i_0_175 ).
cnf(c_0_250,plain,
( ~ in(X1,empty_set)
| ~ empty(X2) ),
inference(rw,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_251,plain,
( X1 = X2
| in(esk33_2(X1,X2),X2)
| in(esk33_2(X1,X2),X1) ),
i_0_179 ).
cnf(c_0_252,plain,
( ~ in(X1,relation_rng(esk30_2(X2,X3)))
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_253,negated_conjecture,
relation_rng(esk30_2(X1,esk31_0)) = esk31_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]) ).
cnf(c_0_254,plain,
( X1 = empty_set
| in(esk33_2(X1,empty_set),X1)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_255,plain,
empty(empty_set),
i_0_38 ).
cnf(c_0_256,plain,
( ~ in(X1,esk31_0)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_257,plain,
( X1 = empty_set
| in(esk33_2(X1,empty_set),X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_258,negated_conjecture,
esk31_0 != empty_set,
i_0_176 ).
cnf(c_0_259,plain,
~ empty(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).
cnf(c_0_260,plain,
$false,
inference(sr,[status(thm)],[c_0_255,c_0_259]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU091+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 17:48:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 28.34/5.06 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 28.34/5.06 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 38; version: 991; iters: 150)
% 28.34/5.06 # Preprocessing time : 1.871 s
% 28.34/5.06 # Presaturation interreduction done
% 28.34/5.06
% 28.34/5.06 # Proof found!
% 28.34/5.06 # SZS status Theorem
% 28.34/5.06 # SZS output start CNFRefutation
% See solution above
% 28.34/5.06 # Training examples: 0 positive, 0 negative
% 28.34/5.06
% 28.34/5.06 # -------------------------------------------------
% 28.34/5.06 # User time : 2.041 s
% 28.34/5.06 # System time : 0.185 s
% 28.34/5.06 # Total time : 2.226 s
% 28.34/5.06 # ...preprocessing : 1.871 s
% 28.34/5.06 # ...main loop : 0.354 s
% 28.34/5.06 # Maximum resident set size: 186924 pages
% 28.34/5.06
%------------------------------------------------------------------------------