%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU296+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:40:31 EDT 2022
% Result : Theorem 14.12s 3.17s
% Output : CNFRefutation 14.12s
% 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_148,plain,
( relation_dom(relation_composition(X1,X2)) = relation_dom(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_148) ).
cnf(i_0_29,plain,
( relation_rng(esk1_1(X1)) = X1
| ~ finite(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_29) ).
cnf(i_0_31,plain,
( relation(esk1_1(X1))
| ~ finite(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_31) ).
cnf(i_0_27,plain,
( finite(X1)
| relation_rng(X2) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ in(relation_dom(X2),omega) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_27) ).
cnf(i_0_28,plain,
( in(relation_dom(esk1_1(X1)),omega)
| ~ finite(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_28) ).
cnf(i_0_137,plain,
( relation_rng(relation_composition(X1,X2)) = relation_image(X2,relation_rng(X1))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_137) ).
cnf(i_0_49,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_49) ).
cnf(i_0_30,plain,
( function(esk1_1(X1))
| ~ finite(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_30) ).
cnf(i_0_38,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_38) ).
cnf(i_0_142,plain,
subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_142) ).
cnf(i_0_135,plain,
( relation_image(X1,set_intersection2(relation_dom(X1),X2)) = relation_image(X1,X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_135) ).
cnf(i_0_42,plain,
( finite(set_intersection2(X1,X2))
| ~ finite(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_42) ).
cnf(i_0_138,negated_conjecture,
~ finite(relation_image(esk22_0,esk21_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_138) ).
cnf(i_0_139,negated_conjecture,
finite(esk21_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_139) ).
cnf(i_0_140,negated_conjecture,
function(esk22_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_140) ).
cnf(i_0_141,negated_conjecture,
relation(esk22_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m8boejv_/input.p',i_0_141) ).
cnf(c_0_165,plain,
( relation_dom(relation_composition(X1,X2)) = relation_dom(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ subset(relation_rng(X1),relation_dom(X2)) ),
i_0_148 ).
cnf(c_0_166,plain,
( relation_rng(esk1_1(X1)) = X1
| ~ finite(X1) ),
i_0_29 ).
cnf(c_0_167,plain,
( relation(esk1_1(X1))
| ~ finite(X1) ),
i_0_31 ).
cnf(c_0_168,plain,
( finite(X1)
| relation_rng(X2) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ in(relation_dom(X2),omega) ),
i_0_27 ).
cnf(c_0_169,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_165,c_0_166]),c_0_167]) ).
cnf(c_0_170,plain,
( in(relation_dom(esk1_1(X1)),omega)
| ~ finite(X1) ),
i_0_28 ).
cnf(c_0_171,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_168,c_0_169]),c_0_170]) ).
cnf(c_0_172,plain,
( relation_rng(relation_composition(X1,X2)) = relation_image(X2,relation_rng(X1))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_137 ).
cnf(c_0_173,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_171]) ).
cnf(c_0_174,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_172,c_0_166]),c_0_167]) ).
cnf(c_0_175,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_173,c_0_174]) ).
cnf(c_0_176,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_49 ).
cnf(c_0_177,plain,
( function(esk1_1(X1))
| ~ finite(X1) ),
i_0_30 ).
cnf(c_0_178,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_175,c_0_176]),c_0_177]),c_0_167]) ).
cnf(c_0_179,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_38 ).
cnf(c_0_180,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_178,c_0_179]),c_0_167]) ).
cnf(c_0_181,plain,
subset(set_intersection2(X1,X2),X1),
i_0_142 ).
cnf(c_0_182,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_180,c_0_181]) ).
cnf(c_0_183,plain,
( relation_image(X1,set_intersection2(relation_dom(X1),X2)) = relation_image(X1,X2)
| ~ relation(X1) ),
i_0_135 ).
cnf(c_0_184,plain,
( finite(relation_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(set_intersection2(relation_dom(X1),X2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_185,plain,
( finite(set_intersection2(X1,X2))
| ~ finite(X2) ),
i_0_42 ).
cnf(c_0_186,negated_conjecture,
~ finite(relation_image(esk22_0,esk21_0)),
i_0_138 ).
cnf(c_0_187,plain,
( finite(relation_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X2) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_188,negated_conjecture,
( ~ relation(esk22_0)
| ~ function(esk22_0)
| ~ finite(esk21_0) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_189,negated_conjecture,
finite(esk21_0),
i_0_139 ).
cnf(c_0_190,negated_conjecture,
( ~ relation(esk22_0)
| ~ function(esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_189])]) ).
cnf(c_0_191,negated_conjecture,
function(esk22_0),
i_0_140 ).
cnf(c_0_192,negated_conjecture,
relation(esk22_0),
i_0_141 ).
cnf(c_0_193,negated_conjecture,
~ relation(esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191])]) ).
cnf(c_0_194,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_192,c_0_193]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU296+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 09:11:55 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 14.12/3.17 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.12/3.17 # ENIGMA: LightGBM model '/export/starexec/sandbox/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)
% 14.12/3.17 # Preprocessing time : 0.865 s
% 14.12/3.17
% 14.12/3.17 # Proof found!
% 14.12/3.17 # SZS status Theorem
% 14.12/3.17 # SZS output start CNFRefutation
% See solution above
% 14.12/3.17 # Training examples: 0 positive, 0 negative
% 14.12/3.17
% 14.12/3.17 # -------------------------------------------------
% 14.12/3.17 # User time : 0.763 s
% 14.12/3.17 # System time : 0.122 s
% 14.12/3.17 # Total time : 0.885 s
% 14.12/3.17 # ...preprocessing : 0.865 s
% 14.12/3.17 # ...main loop : 0.020 s
% 14.12/3.17 # Maximum resident set size: 167600 pages
% 14.12/3.17
%------------------------------------------------------------------------------