TSTP Solution File: SET993+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET993+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 00:15:44 EDT 2022
% Result : Theorem 13.36s 3.03s
% Output : CNFRefutation 13.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 53 ( 17 unt; 15 nHn; 28 RR)
% Number of literals : 126 ( 58 equ; 53 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( X1 = relation_rng(X2)
| in(esk3_2(X2,X1),X1)
| in(esk4_2(X2,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_9) ).
cnf(i_0_47,plain,
relation(esk14_2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_47) ).
cnf(i_0_45,plain,
relation_dom(esk14_2(X1,X2)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_45) ).
cnf(i_0_46,plain,
function(esk14_2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_46) ).
cnf(i_0_8,plain,
( X1 = relation_rng(X2)
| apply(X2,esk4_2(X2,X1)) = esk3_2(X2,X1)
| in(esk3_2(X2,X1),X1)
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_8) ).
cnf(i_0_44,plain,
( apply(esk14_2(X1,X2),X3) = X2
| ~ in(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_44) ).
cnf(i_0_2,plain,
( function(X1)
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_2) ).
cnf(i_0_17,plain,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_17) ).
cnf(i_0_16,plain,
relation(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_16) ).
cnf(i_0_26,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_26) ).
cnf(i_0_7,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_7) ).
cnf(i_0_57,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_57) ).
cnf(i_0_6,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_6) ).
cnf(i_0_10,plain,
( X1 = relation_rng(X2)
| esk3_2(X2,X1) != apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(X2))
| ~ in(esk3_2(X2,X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_10) ).
cnf(i_0_48,negated_conjecture,
( relation_dom(X1) != esk15_0
| relation_rng(X1) != singleton(esk16_0)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_48) ).
cnf(i_0_49,negated_conjecture,
esk15_0 != empty_set,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fhn_qk85/input.p',i_0_49) ).
cnf(c_0_74,plain,
( X1 = relation_rng(X2)
| in(esk3_2(X2,X1),X1)
| in(esk4_2(X2,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
i_0_9 ).
cnf(c_0_75,plain,
relation(esk14_2(X1,X2)),
i_0_47 ).
cnf(c_0_76,plain,
relation_dom(esk14_2(X1,X2)) = X1,
i_0_45 ).
cnf(c_0_77,plain,
function(esk14_2(X1,X2)),
i_0_46 ).
cnf(c_0_78,plain,
( X1 = relation_rng(X2)
| apply(X2,esk4_2(X2,X1)) = esk3_2(X2,X1)
| in(esk3_2(X2,X1),X1)
| ~ function(X2)
| ~ relation(X2) ),
i_0_8 ).
cnf(c_0_79,plain,
( apply(esk14_2(X1,X2),X3) = X2
| ~ in(X3,X1) ),
i_0_44 ).
cnf(c_0_80,plain,
( X1 = relation_rng(esk14_2(X2,X3))
| in(esk3_2(esk14_2(X2,X3),X1),X1)
| in(esk4_2(esk14_2(X2,X3),X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77])]) ).
cnf(c_0_81,plain,
( function(X1)
| ~ empty(X1) ),
i_0_2 ).
cnf(c_0_82,plain,
empty(empty_set),
i_0_17 ).
cnf(c_0_83,plain,
( apply(esk14_2(X1,X2),esk4_2(esk14_2(X1,X2),X3)) = esk3_2(esk14_2(X1,X2),X3)
| X3 = relation_rng(esk14_2(X1,X2))
| in(esk3_2(esk14_2(X1,X2),X3),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_77])]) ).
cnf(c_0_84,plain,
( apply(esk14_2(X1,X2),esk4_2(esk14_2(X1,X3),X4)) = X2
| X4 = relation_rng(esk14_2(X1,X3))
| in(esk3_2(esk14_2(X1,X3),X4),X4) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,plain,
relation(empty_set),
i_0_16 ).
cnf(c_0_86,plain,
function(empty_set),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
i_0_26 ).
cnf(c_0_88,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_7 ).
cnf(c_0_89,plain,
( esk3_2(esk14_2(X1,X2),X3) = X2
| X3 = relation_rng(esk14_2(X1,X2))
| in(esk3_2(esk14_2(X1,X2),X3),X3) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_57 ).
cnf(c_0_91,plain,
( X1 = relation_rng(empty_set)
| in(esk4_2(empty_set,X1),relation_dom(empty_set))
| in(esk3_2(empty_set,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_85]),c_0_86])]) ).
cnf(c_0_92,plain,
empty(relation_dom(empty_set)),
inference(spm,[status(thm)],[c_0_87,c_0_82]) ).
cnf(c_0_93,plain,
( esk3_2(esk14_2(X1,X2),X3) = X2
| esk3_2(esk14_2(X1,X2),X3) = X4
| X3 = relation_rng(esk14_2(X1,X2))
| X3 != singleton(X4) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_6 ).
cnf(c_0_95,plain,
( X1 = relation_rng(empty_set)
| in(esk3_2(empty_set,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_96,plain,
( esk3_2(esk14_2(X1,X2),singleton(X3)) = X3
| esk3_2(esk14_2(X1,X2),singleton(X3)) = X2
| singleton(X3) = relation_rng(esk14_2(X1,X2)) ),
inference(er,[status(thm)],[c_0_93]) ).
cnf(c_0_97,plain,
( in(X1,X2)
| X2 != singleton(X1) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_98,plain,
( X1 = relation_rng(empty_set)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_95]) ).
cnf(c_0_99,plain,
( X1 = relation_rng(X2)
| esk3_2(X2,X1) != apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(X2))
| ~ in(esk3_2(X2,X1),X1) ),
i_0_10 ).
cnf(c_0_100,plain,
( esk3_2(esk14_2(X1,X2),singleton(X2)) = X2
| relation_rng(esk14_2(X1,X2)) = singleton(X2) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_96])]) ).
cnf(c_0_101,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[c_0_97]) ).
cnf(c_0_102,plain,
relation_rng(empty_set) = empty_set,
inference(spm,[status(thm)],[c_0_98,c_0_82]) ).
cnf(c_0_103,plain,
( relation_rng(esk14_2(X1,X2)) = singleton(X2)
| ~ in(X3,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_76]),c_0_75]),c_0_77])]),c_0_79]) ).
cnf(c_0_104,plain,
( X1 = empty_set
| in(esk3_2(empty_set,X1),X1) ),
inference(rw,[status(thm)],[c_0_95,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
( relation_dom(X1) != esk15_0
| relation_rng(X1) != singleton(esk16_0)
| ~ function(X1)
| ~ relation(X1) ),
i_0_48 ).
cnf(c_0_106,plain,
( relation_rng(esk14_2(X1,X2)) = singleton(X2)
| X1 = empty_set ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( X1 = empty_set
| singleton(X2) != singleton(esk16_0)
| X1 != esk15_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_76]),c_0_75]),c_0_77])]) ).
cnf(c_0_108,negated_conjecture,
( X1 = empty_set
| X1 != esk15_0 ),
inference(er,[status(thm)],[c_0_107]) ).
cnf(c_0_109,negated_conjecture,
esk15_0 != empty_set,
i_0_49 ).
cnf(c_0_110,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_108]),c_0_109]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET993+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 Jul 10 03:28:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 13.36/3.03 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.36/3.03 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.36/3.03 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 37; version: 991; iters: 150)
% 13.36/3.03 # Preprocessing time : 0.758 s
% 13.36/3.03
% 13.36/3.03 # Proof found!
% 13.36/3.03 # SZS status Theorem
% 13.36/3.03 # SZS output start CNFRefutation
% See solution above
% 13.36/3.03 # Training examples: 0 positive, 0 negative
% 13.36/3.03
% 13.36/3.03 # -------------------------------------------------
% 13.36/3.03 # User time : 0.703 s
% 13.36/3.03 # System time : 0.098 s
% 13.36/3.03 # Total time : 0.801 s
% 13.36/3.03 # ...preprocessing : 0.758 s
% 13.36/3.03 # ...main loop : 0.044 s
% 13.36/3.03 # Maximum resident set size: 151512 pages
% 13.36/3.03
%------------------------------------------------------------------------------