TSTP Solution File: SEU028+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU028+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 08:38:05 EDT 2022
% Result : Theorem 14.06s 3.08s
% Output : CNFRefutation 14.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 8 unt; 2 nHn; 38 RR)
% Number of literals : 142 ( 33 equ; 105 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_56,plain,
( X1 = identity_relation(X2)
| relation_dom(X1) != X2
| apply(X1,esk12_2(X2,X1)) != esk12_2(X2,X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_56) ).
cnf(i_0_65,plain,
( apply(relation_composition(function_inverse(X1),X1),X2) = X2
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ in(X2,relation_rng(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_65) ).
cnf(i_0_57,plain,
( X1 = identity_relation(X2)
| in(esk12_2(X2,X1),X2)
| relation_dom(X1) != X2
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_57) ).
cnf(i_0_70,plain,
( relation_dom(relation_composition(function_inverse(X1),X1)) = relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_70) ).
cnf(i_0_63,plain,
( apply(relation_composition(X1,function_inverse(X1)),X2) = X2
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ in(X2,relation_dom(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_63) ).
cnf(i_0_17,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_17) ).
cnf(i_0_7,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_7) ).
cnf(i_0_8,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_8) ).
cnf(i_0_68,plain,
( relation_dom(relation_composition(X1,function_inverse(X1))) = relation_dom(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_68) ).
cnf(i_0_9,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_9) ).
cnf(i_0_72,negated_conjecture,
( identity_relation(relation_dom(esk13_0)) != relation_composition(esk13_0,function_inverse(esk13_0))
| identity_relation(relation_rng(esk13_0)) != relation_composition(function_inverse(esk13_0),esk13_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_72) ).
cnf(i_0_73,negated_conjecture,
one_to_one(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_73) ).
cnf(i_0_75,negated_conjecture,
relation(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_75) ).
cnf(i_0_74,negated_conjecture,
function(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9sl6ca9_/input.p',i_0_74) ).
cnf(c_0_90,plain,
( X1 = identity_relation(X2)
| relation_dom(X1) != X2
| apply(X1,esk12_2(X2,X1)) != esk12_2(X2,X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_56 ).
cnf(c_0_91,plain,
( apply(relation_composition(function_inverse(X1),X1),X2) = X2
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ in(X2,relation_rng(X1)) ),
i_0_65 ).
cnf(c_0_92,plain,
( relation_composition(function_inverse(X1),X1) = identity_relation(X2)
| relation_dom(relation_composition(function_inverse(X1),X1)) != X2
| ~ in(esk12_2(X2,relation_composition(function_inverse(X1),X1)),relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(relation_composition(function_inverse(X1),X1))
| ~ relation(X1)
| ~ function(relation_composition(function_inverse(X1),X1))
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_93,plain,
( X1 = identity_relation(X2)
| in(esk12_2(X2,X1),X2)
| relation_dom(X1) != X2
| ~ function(X1)
| ~ relation(X1) ),
i_0_57 ).
cnf(c_0_94,plain,
( relation_dom(relation_composition(function_inverse(X1),X1)) = relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
i_0_70 ).
cnf(c_0_95,plain,
( apply(relation_composition(X1,function_inverse(X1)),X2) = X2
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ in(X2,relation_dom(X1)) ),
i_0_63 ).
cnf(c_0_96,plain,
( relation_composition(function_inverse(X1),X1) = identity_relation(relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(relation_composition(function_inverse(X1),X1))
| ~ relation(X1)
| ~ function(relation_composition(function_inverse(X1),X1))
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_97,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_17 ).
cnf(c_0_98,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_7 ).
cnf(c_0_99,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_8 ).
cnf(c_0_100,plain,
( relation_composition(X1,function_inverse(X1)) = identity_relation(X2)
| relation_dom(relation_composition(X1,function_inverse(X1))) != X2
| ~ in(esk12_2(X2,relation_composition(X1,function_inverse(X1))),relation_dom(X1))
| ~ one_to_one(X1)
| ~ relation(relation_composition(X1,function_inverse(X1)))
| ~ relation(X1)
| ~ function(relation_composition(X1,function_inverse(X1)))
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_95]) ).
cnf(c_0_101,plain,
( relation_dom(relation_composition(X1,function_inverse(X1))) = relation_dom(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
i_0_68 ).
cnf(c_0_102,plain,
( relation_composition(function_inverse(X1),X1) = identity_relation(relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(relation_composition(function_inverse(X1),X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_103,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_9 ).
cnf(c_0_104,plain,
( relation_composition(X1,function_inverse(X1)) = identity_relation(relation_dom(X1))
| ~ one_to_one(X1)
| ~ relation(relation_composition(X1,function_inverse(X1)))
| ~ relation(X1)
| ~ function(relation_composition(X1,function_inverse(X1)))
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_93]),c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( identity_relation(relation_dom(esk13_0)) != relation_composition(esk13_0,function_inverse(esk13_0))
| identity_relation(relation_rng(esk13_0)) != relation_composition(function_inverse(esk13_0),esk13_0) ),
i_0_72 ).
cnf(c_0_106,plain,
( relation_composition(function_inverse(X1),X1) = identity_relation(relation_rng(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_99]) ).
cnf(c_0_107,negated_conjecture,
one_to_one(esk13_0),
i_0_73 ).
cnf(c_0_108,negated_conjecture,
relation(esk13_0),
i_0_75 ).
cnf(c_0_109,negated_conjecture,
function(esk13_0),
i_0_74 ).
cnf(c_0_110,plain,
( relation_composition(X1,function_inverse(X1)) = identity_relation(relation_dom(X1))
| ~ one_to_one(X1)
| ~ relation(relation_composition(X1,function_inverse(X1)))
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_111,negated_conjecture,
identity_relation(relation_dom(esk13_0)) != relation_composition(esk13_0,function_inverse(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108]),c_0_109])]) ).
cnf(c_0_112,plain,
( relation_composition(X1,function_inverse(X1)) = identity_relation(relation_dom(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_103]),c_0_99]) ).
cnf(c_0_113,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_107]),c_0_108]),c_0_109])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU028+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n014.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 : Mon Jun 20 09:21:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 14.06/3.08 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.06/3.08 # 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: 37; version: 991; iters: 150)
% 14.06/3.08 # Preprocessing time : 0.854 s
% 14.06/3.08
% 14.06/3.08 # Proof found!
% 14.06/3.08 # SZS status Theorem
% 14.06/3.08 # SZS output start CNFRefutation
% See solution above
% 14.06/3.08 # Training examples: 0 positive, 0 negative
% 14.06/3.08
% 14.06/3.08 # -------------------------------------------------
% 14.06/3.08 # User time : 0.758 s
% 14.06/3.08 # System time : 0.108 s
% 14.06/3.08 # Total time : 0.866 s
% 14.06/3.08 # ...preprocessing : 0.854 s
% 14.06/3.08 # ...main loop : 0.012 s
% 14.06/3.08 # Maximum resident set size: 168024 pages
% 14.06/3.08
%------------------------------------------------------------------------------