%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU048+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 08:38:11 EDT 2022
% Result : Theorem 15.44s 3.44s
% Output : CNFRefutation 15.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 46 ( 12 unt; 21 nHn; 31 RR)
% Number of literals : 146 ( 31 equ; 81 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_12) ).
cnf(i_0_69,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_69) ).
cnf(i_0_21,plain,
( function(relation_rng_restriction(X1,X2))
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_21) ).
cnf(i_0_68,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_68) ).
cnf(i_0_9,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_9) ).
cnf(i_0_64,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/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_64) ).
cnf(i_0_61,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/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_61) ).
cnf(i_0_8,plain,
( apply(X1,esk1_1(X1)) = apply(X1,esk2_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_8) ).
cnf(i_0_10,plain,
( one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_10) ).
cnf(i_0_11,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_11) ).
cnf(i_0_67,negated_conjecture,
one_to_one(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_67) ).
cnf(i_0_7,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_7) ).
cnf(i_0_66,negated_conjecture,
~ one_to_one(relation_rng_restriction(esk16_0,esk17_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f51zbk1j/input.p',i_0_66) ).
cnf(c_0_83,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
i_0_12 ).
cnf(c_0_84,negated_conjecture,
relation(esk17_0),
i_0_69 ).
cnf(c_0_85,plain,
( function(relation_rng_restriction(X1,X2))
| ~ function(X2)
| ~ relation(X2) ),
i_0_21 ).
cnf(c_0_86,negated_conjecture,
function(esk17_0),
i_0_68 ).
cnf(c_0_87,plain,
( one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_9 ).
cnf(c_0_88,negated_conjecture,
relation(relation_rng_restriction(X1,esk17_0)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
function(relation_rng_restriction(X1,esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_84]),c_0_86])]) ).
cnf(c_0_90,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_64 ).
cnf(c_0_91,plain,
( in(esk2_1(relation_rng_restriction(X1,esk17_0)),relation_dom(relation_rng_restriction(X1,esk17_0)))
| one_to_one(relation_rng_restriction(X1,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_92,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_61 ).
cnf(c_0_93,plain,
( in(esk2_1(relation_rng_restriction(X1,esk17_0)),relation_dom(X2))
| one_to_one(relation_rng_restriction(X1,esk17_0))
| relation_rng_restriction(X1,esk17_0) != relation_rng_restriction(X3,X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_88]),c_0_89])]) ).
cnf(c_0_94,plain,
( apply(X1,esk1_1(X1)) = apply(X1,esk2_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_8 ).
cnf(c_0_95,plain,
( apply(relation_rng_restriction(X1,esk17_0),esk2_1(relation_rng_restriction(X1,esk17_0))) = apply(X2,esk2_1(relation_rng_restriction(X1,esk17_0)))
| one_to_one(relation_rng_restriction(X1,esk17_0))
| relation_rng_restriction(X1,esk17_0) != relation_rng_restriction(X3,X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_91]),c_0_88]),c_0_89])]) ).
cnf(c_0_96,plain,
( one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_10 ).
cnf(c_0_97,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
i_0_11 ).
cnf(c_0_98,plain,
( in(esk2_1(relation_rng_restriction(X1,esk17_0)),relation_dom(esk17_0))
| one_to_one(relation_rng_restriction(X1,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_84]),c_0_86])]) ).
cnf(c_0_99,negated_conjecture,
one_to_one(esk17_0),
i_0_67 ).
cnf(c_0_100,plain,
( apply(relation_rng_restriction(X1,esk17_0),esk2_1(relation_rng_restriction(X1,esk17_0))) = apply(relation_rng_restriction(X1,esk17_0),esk1_1(relation_rng_restriction(X1,esk17_0)))
| one_to_one(relation_rng_restriction(X1,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_88]),c_0_89])]) ).
cnf(c_0_101,plain,
( apply(relation_rng_restriction(X1,esk17_0),esk2_1(relation_rng_restriction(X1,esk17_0))) = apply(esk17_0,esk2_1(relation_rng_restriction(X1,esk17_0)))
| one_to_one(relation_rng_restriction(X1,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_95]),c_0_84]),c_0_86])]) ).
cnf(c_0_102,plain,
( in(esk1_1(relation_rng_restriction(X1,esk17_0)),relation_dom(relation_rng_restriction(X1,esk17_0)))
| one_to_one(relation_rng_restriction(X1,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_88]),c_0_89])]) ).
cnf(c_0_103,plain,
( X1 = esk2_1(relation_rng_restriction(X2,esk17_0))
| one_to_one(relation_rng_restriction(X2,esk17_0))
| apply(esk17_0,X1) != apply(esk17_0,esk2_1(relation_rng_restriction(X2,esk17_0)))
| ~ in(X1,relation_dom(esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_84]),c_0_86])]) ).
cnf(c_0_104,plain,
( apply(esk17_0,esk2_1(relation_rng_restriction(X1,esk17_0))) = apply(relation_rng_restriction(X1,esk17_0),esk1_1(relation_rng_restriction(X1,esk17_0)))
| one_to_one(relation_rng_restriction(X1,esk17_0)) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
( apply(relation_rng_restriction(X1,esk17_0),esk1_1(relation_rng_restriction(X1,esk17_0))) = apply(X2,esk1_1(relation_rng_restriction(X1,esk17_0)))
| one_to_one(relation_rng_restriction(X1,esk17_0))
| relation_rng_restriction(X1,esk17_0) != relation_rng_restriction(X3,X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_102]),c_0_88]),c_0_89])]) ).
cnf(c_0_106,plain,
( X1 = esk2_1(relation_rng_restriction(X2,esk17_0))
| one_to_one(relation_rng_restriction(X2,esk17_0))
| apply(esk17_0,X1) != apply(relation_rng_restriction(X2,esk17_0),esk1_1(relation_rng_restriction(X2,esk17_0)))
| ~ in(X1,relation_dom(esk17_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,plain,
( apply(relation_rng_restriction(X1,esk17_0),esk1_1(relation_rng_restriction(X1,esk17_0))) = apply(esk17_0,esk1_1(relation_rng_restriction(X1,esk17_0)))
| one_to_one(relation_rng_restriction(X1,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_105]),c_0_84]),c_0_86])]) ).
cnf(c_0_108,plain,
( in(esk1_1(relation_rng_restriction(X1,esk17_0)),relation_dom(X2))
| one_to_one(relation_rng_restriction(X1,esk17_0))
| relation_rng_restriction(X1,esk17_0) != relation_rng_restriction(X3,X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_102]),c_0_88]),c_0_89])]) ).
cnf(c_0_109,plain,
( one_to_one(X1)
| esk1_1(X1) != esk2_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_7 ).
cnf(c_0_110,plain,
( X1 = esk2_1(relation_rng_restriction(X2,esk17_0))
| one_to_one(relation_rng_restriction(X2,esk17_0))
| apply(esk17_0,X1) != apply(esk17_0,esk1_1(relation_rng_restriction(X2,esk17_0)))
| ~ in(X1,relation_dom(esk17_0)) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
( in(esk1_1(relation_rng_restriction(X1,esk17_0)),relation_dom(esk17_0))
| one_to_one(relation_rng_restriction(X1,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_108]),c_0_84]),c_0_86])]) ).
cnf(c_0_112,plain,
( one_to_one(relation_rng_restriction(X1,esk17_0))
| esk2_1(relation_rng_restriction(X1,esk17_0)) != esk1_1(relation_rng_restriction(X1,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_88]),c_0_89])]) ).
cnf(c_0_113,negated_conjecture,
~ one_to_one(relation_rng_restriction(esk16_0,esk17_0)),
i_0_66 ).
cnf(c_0_114,plain,
one_to_one(relation_rng_restriction(X1,esk17_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU048+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n012.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 07:47:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 15.44/3.44 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 15.44/3.44 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 15.44/3.44 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 15.44/3.44 # Preprocessing time : 0.718 s
% 15.44/3.44
% 15.44/3.44 # Proof found!
% 15.44/3.44 # SZS status Theorem
% 15.44/3.44 # SZS output start CNFRefutation
% See solution above
% 15.44/3.44 # Training examples: 0 positive, 0 negative
% 15.44/3.44
% 15.44/3.44 # -------------------------------------------------
% 15.44/3.44 # User time : 0.721 s
% 15.44/3.44 # System time : 0.099 s
% 15.44/3.44 # Total time : 0.820 s
% 15.44/3.44 # ...preprocessing : 0.718 s
% 15.44/3.44 # ...main loop : 0.103 s
% 15.44/3.44 # Maximum resident set size: 152756 pages
% 15.44/3.44
%------------------------------------------------------------------------------