TSTP Solution File: SEU049+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU049+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 08:38:12 EDT 2022
% Result : Theorem 14.36s 3.24s
% Output : CNFRefutation 14.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 10 unt; 9 nHn; 18 RR)
% Number of literals : 92 ( 37 equ; 49 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_18) ).
cnf(i_0_8,plain,
( X1 = relation_image(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk3_3(X2,X3,X1),X3)
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_8) ).
cnf(i_0_7,plain,
( X1 = relation_image(X2,X3)
| apply(X2,esk3_3(X2,X3,X1)) = esk2_3(X2,X3,X1)
| in(esk2_3(X2,X3,X1),X1)
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_7) ).
cnf(i_0_17,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_17) ).
cnf(i_0_10,plain,
( X1 = relation_image(X2,X3)
| esk2_3(X2,X3,X1) != apply(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_dom(X2))
| ~ in(esk2_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_10) ).
cnf(i_0_53,negated_conjecture,
in(esk16_0,relation_dom(esk17_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_53) ).
cnf(i_0_55,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_55) ).
cnf(i_0_54,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_54) ).
cnf(i_0_52,negated_conjecture,
singleton(apply(esk17_0,esk16_0)) != relation_image(esk17_0,singleton(esk16_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tvmbug60/input.p',i_0_52) ).
cnf(c_0_65,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_18 ).
cnf(c_0_66,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_67,plain,
( X1 = relation_image(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk3_3(X2,X3,X1),X3)
| ~ function(X2)
| ~ relation(X2) ),
i_0_8 ).
cnf(c_0_68,plain,
( X1 = relation_image(X2,X3)
| apply(X2,esk3_3(X2,X3,X1)) = esk2_3(X2,X3,X1)
| in(esk2_3(X2,X3,X1),X1)
| ~ function(X2)
| ~ relation(X2) ),
i_0_7 ).
cnf(c_0_69,plain,
( esk3_3(X1,singleton(X2),X3) = X2
| X3 = relation_image(X1,singleton(X2))
| in(esk2_3(X1,singleton(X2),X3),X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,plain,
( apply(X1,esk3_3(X1,X2,singleton(X3))) = esk2_3(X1,X2,singleton(X3))
| esk2_3(X1,X2,singleton(X3)) = X3
| singleton(X3) = relation_image(X1,X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_68]) ).
cnf(c_0_71,plain,
( esk2_3(X1,singleton(X2),singleton(X3)) = X3
| esk3_3(X1,singleton(X2),singleton(X3)) = X2
| singleton(X3) = relation_image(X1,singleton(X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_69]) ).
cnf(c_0_72,plain,
( esk2_3(X1,singleton(X2),singleton(X3)) = apply(X1,X2)
| esk2_3(X1,singleton(X2),singleton(X3)) = X3
| singleton(X3) = relation_image(X1,singleton(X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_17 ).
cnf(c_0_74,plain,
( X1 = relation_image(X2,X3)
| esk2_3(X2,X3,X1) != apply(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_dom(X2))
| ~ in(esk2_3(X2,X3,X1),X1) ),
i_0_10 ).
cnf(c_0_75,plain,
( esk2_3(X1,singleton(X2),singleton(apply(X1,X2))) = apply(X1,X2)
| singleton(apply(X1,X2)) = relation_image(X1,singleton(X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_72])]) ).
cnf(c_0_76,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_73])]) ).
cnf(c_0_77,plain,
( singleton(apply(X1,X2)) = relation_image(X1,singleton(X2))
| apply(X1,X2) != apply(X1,X3)
| ~ in(X3,relation_dom(X1))
| ~ in(X3,singleton(X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_78,plain,
( singleton(apply(X1,X2)) = relation_image(X1,singleton(X2))
| ~ in(X2,relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_77]),c_0_76])]) ).
cnf(c_0_79,negated_conjecture,
in(esk16_0,relation_dom(esk17_0)),
i_0_53 ).
cnf(c_0_80,negated_conjecture,
relation(esk17_0),
i_0_55 ).
cnf(c_0_81,negated_conjecture,
function(esk17_0),
i_0_54 ).
cnf(c_0_82,negated_conjecture,
singleton(apply(esk17_0,esk16_0)) != relation_image(esk17_0,singleton(esk16_0)),
i_0_52 ).
cnf(c_0_83,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81])]),c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU049+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n025.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 16:06:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.42 # ENIGMATIC: Selected complete mode:
% 14.36/3.24 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 14.36/3.24 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 45; version: 991; iters: 150)
% 14.36/3.24 # Preprocessing time : 0.873 s
% 14.36/3.24 # Presaturation interreduction done
% 14.36/3.24
% 14.36/3.24 # Proof found!
% 14.36/3.24 # SZS status Theorem
% 14.36/3.24 # SZS output start CNFRefutation
% See solution above
% 14.36/3.24 # Training examples: 0 positive, 0 negative
% 14.36/3.24
% 14.36/3.24 # -------------------------------------------------
% 14.36/3.24 # User time : 0.777 s
% 14.36/3.24 # System time : 0.118 s
% 14.36/3.24 # Total time : 0.896 s
% 14.36/3.24 # ...preprocessing : 0.873 s
% 14.36/3.24 # ...main loop : 0.023 s
% 14.36/3.24 # Maximum resident set size: 167156 pages
% 14.36/3.24
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