TSTP Solution File: SEU296+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU296+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 08:40:32 EDT 2022
% Result : Theorem 14.91s 3.32s
% Output : CNFRefutation 14.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 46 ( 12 unt; 0 nHn; 40 RR)
% Number of literals : 130 ( 13 equ; 89 neg)
% Maximal clause size : 7 ( 2 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; 0-2 aty)
% Number of variables : 61 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_180,plain,
( relation_dom(relation_composition(X1,X2)) = relation_dom(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_180) ).
cnf(i_0_33,plain,
( relation_rng(esk1_1(X1)) = X1
| ~ finite(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_33) ).
cnf(i_0_35,plain,
( relation(esk1_1(X1))
| ~ finite(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_35) ).
cnf(i_0_31,plain,
( finite(X1)
| relation_rng(X2) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ in(relation_dom(X2),omega) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_31) ).
cnf(i_0_32,plain,
( in(relation_dom(esk1_1(X1)),omega)
| ~ finite(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_32) ).
cnf(i_0_169,plain,
( relation_rng(relation_composition(X1,X2)) = relation_image(X2,relation_rng(X1))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_169) ).
cnf(i_0_45,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_45) ).
cnf(i_0_34,plain,
( function(esk1_1(X1))
| ~ finite(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_34) ).
cnf(i_0_36,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_36) ).
cnf(i_0_174,plain,
subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_174) ).
cnf(i_0_167,plain,
( relation_image(X1,set_intersection2(relation_dom(X1),X2)) = relation_image(X1,X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_167) ).
cnf(i_0_38,plain,
( finite(set_intersection2(X1,X2))
| ~ finite(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_38) ).
cnf(i_0_170,negated_conjecture,
~ finite(relation_image(esk29_0,esk28_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_170) ).
cnf(i_0_171,negated_conjecture,
finite(esk28_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_171) ).
cnf(i_0_172,negated_conjecture,
function(esk29_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_172) ).
cnf(i_0_173,negated_conjecture,
relation(esk29_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z3may_do/input.p',i_0_173) ).
cnf(c_0_197,plain,
( relation_dom(relation_composition(X1,X2)) = relation_dom(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X2)) ),
i_0_180 ).
cnf(c_0_198,plain,
( relation_rng(esk1_1(X1)) = X1
| ~ finite(X1) ),
i_0_33 ).
cnf(c_0_199,plain,
( relation(esk1_1(X1))
| ~ finite(X1) ),
i_0_35 ).
cnf(c_0_200,plain,
( finite(X1)
| relation_rng(X2) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ in(relation_dom(X2),omega) ),
i_0_31 ).
cnf(c_0_201,plain,
( relation_dom(relation_composition(esk1_1(X1),X2)) = relation_dom(esk1_1(X1))
| ~ subset(X1,relation_dom(X2))
| ~ relation(X2)
| ~ finite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).
cnf(c_0_202,plain,
( in(relation_dom(esk1_1(X1)),omega)
| ~ finite(X1) ),
i_0_32 ).
cnf(c_0_203,plain,
( finite(X1)
| relation_rng(relation_composition(esk1_1(X2),X3)) != X1
| ~ subset(X2,relation_dom(X3))
| ~ relation(relation_composition(esk1_1(X2),X3))
| ~ relation(X3)
| ~ function(relation_composition(esk1_1(X2),X3))
| ~ finite(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).
cnf(c_0_204,plain,
( relation_rng(relation_composition(X1,X2)) = relation_image(X2,relation_rng(X1))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_169 ).
cnf(c_0_205,plain,
( finite(relation_rng(relation_composition(esk1_1(X1),X2)))
| ~ subset(X1,relation_dom(X2))
| ~ relation(relation_composition(esk1_1(X1),X2))
| ~ relation(X2)
| ~ function(relation_composition(esk1_1(X1),X2))
| ~ finite(X1) ),
inference(er,[status(thm)],[c_0_203]) ).
cnf(c_0_206,plain,
( relation_rng(relation_composition(esk1_1(X1),X2)) = relation_image(X2,X1)
| ~ relation(X2)
| ~ finite(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_198]),c_0_199]) ).
cnf(c_0_207,plain,
( finite(relation_image(X1,X2))
| ~ subset(X2,relation_dom(X1))
| ~ relation(relation_composition(esk1_1(X2),X1))
| ~ relation(X1)
| ~ function(relation_composition(esk1_1(X2),X1))
| ~ finite(X2) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_208,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_45 ).
cnf(c_0_209,plain,
( function(esk1_1(X1))
| ~ finite(X1) ),
i_0_34 ).
cnf(c_0_210,plain,
( finite(relation_image(X1,X2))
| ~ subset(X2,relation_dom(X1))
| ~ relation(relation_composition(esk1_1(X2),X1))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]),c_0_199]) ).
cnf(c_0_211,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_36 ).
cnf(c_0_212,plain,
( finite(relation_image(X1,X2))
| ~ subset(X2,relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_199]) ).
cnf(c_0_213,plain,
subset(set_intersection2(X1,X2),X1),
i_0_174 ).
cnf(c_0_214,plain,
( finite(relation_image(X1,set_intersection2(relation_dom(X1),X2)))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(set_intersection2(relation_dom(X1),X2)) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_215,plain,
( relation_image(X1,set_intersection2(relation_dom(X1),X2)) = relation_image(X1,X2)
| ~ relation(X1) ),
i_0_167 ).
cnf(c_0_216,plain,
( finite(relation_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(set_intersection2(relation_dom(X1),X2)) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_217,plain,
( finite(set_intersection2(X1,X2))
| ~ finite(X2) ),
i_0_38 ).
cnf(c_0_218,negated_conjecture,
~ finite(relation_image(esk29_0,esk28_0)),
i_0_170 ).
cnf(c_0_219,plain,
( finite(relation_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X2) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_220,negated_conjecture,
( ~ relation(esk29_0)
| ~ function(esk29_0)
| ~ finite(esk28_0) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_221,negated_conjecture,
finite(esk28_0),
i_0_171 ).
cnf(c_0_222,negated_conjecture,
( ~ relation(esk29_0)
| ~ function(esk29_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_221])]) ).
cnf(c_0_223,negated_conjecture,
function(esk29_0),
i_0_172 ).
cnf(c_0_224,negated_conjecture,
relation(esk29_0),
i_0_173 ).
cnf(c_0_225,negated_conjecture,
~ relation(esk29_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223])]) ).
cnf(c_0_226,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_224,c_0_225]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU296+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n011.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 : Sun Jun 19 20:22:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 14.91/3.32 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.91/3.32 # 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: 29; version: 991; iters: 150)
% 14.91/3.32 # Preprocessing time : 0.880 s
% 14.91/3.32
% 14.91/3.32 # Proof found!
% 14.91/3.32 # SZS status Theorem
% 14.91/3.32 # SZS output start CNFRefutation
% See solution above
% 14.91/3.32 # Training examples: 0 positive, 0 negative
% 14.91/3.32
% 14.91/3.32 # -------------------------------------------------
% 14.91/3.32 # User time : 0.793 s
% 14.91/3.32 # System time : 0.117 s
% 14.91/3.32 # Total time : 0.910 s
% 14.91/3.32 # ...preprocessing : 0.880 s
% 14.91/3.32 # ...main loop : 0.030 s
% 14.91/3.32 # Maximum resident set size: 169176 pages
% 14.91/3.32
%------------------------------------------------------------------------------