TSTP Solution File: SEU210+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU210+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 08:39:33 EDT 2022
% Result : Theorem 14.15s 3.16s
% Output : CNFRefutation 14.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 37 ( 16 unt; 9 nHn; 32 RR)
% Number of literals : 78 ( 10 equ; 36 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_51,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_51) ).
cnf(i_0_20,plain,
element(esk5_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_20) ).
cnf(i_0_6,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_6) ).
cnf(i_0_47,negated_conjecture,
subset(esk13_0,relation_rng(esk14_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_47) ).
cnf(i_0_42,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_42) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_3) ).
cnf(i_0_46,negated_conjecture,
relation_inverse_image(esk14_0,esk13_0) = empty_set,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_46) ).
cnf(i_0_49,negated_conjecture,
relation(esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_49) ).
cnf(i_0_10,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),X3),singleton(esk2_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_10) ).
cnf(i_0_57,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_57) ).
cnf(i_0_22,plain,
empty(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_22) ).
cnf(i_0_56,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_56) ).
cnf(i_0_48,negated_conjecture,
esk13_0 != empty_set,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p2xb6uem/input.p',i_0_48) ).
cnf(c_0_71,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_51 ).
cnf(c_0_72,plain,
element(esk5_1(X1),X1),
i_0_20 ).
cnf(c_0_73,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_6 ).
cnf(c_0_74,negated_conjecture,
subset(esk13_0,relation_rng(esk14_0)),
i_0_47 ).
cnf(c_0_75,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X2) ),
i_0_42 ).
cnf(c_0_76,plain,
( in(esk5_1(X1),X1)
| empty(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_78,negated_conjecture,
( in(X1,relation_rng(esk14_0))
| ~ in(X1,esk13_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
( in(X1,relation_inverse_image(X2,X3))
| empty(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_1(X3))),X2)
| ~ in(esk5_1(X3),relation_rng(X2))
| ~ relation(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_80,plain,
( in(esk5_1(esk13_0),relation_rng(esk14_0))
| empty(esk13_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
relation_inverse_image(esk14_0,esk13_0) = empty_set,
i_0_46 ).
cnf(c_0_82,negated_conjecture,
relation(esk14_0),
i_0_49 ).
cnf(c_0_83,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),X3),singleton(esk2_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_10 ).
cnf(c_0_84,plain,
( in(X1,empty_set)
| empty(esk13_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_1(esk13_0))),esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82])]) ).
cnf(c_0_85,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,relation_rng(X2),X1)),singleton(esk2_3(X2,relation_rng(X2),X1))),X2)
| ~ in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_77])]) ).
cnf(c_0_86,plain,
( in(X1,empty_set)
| empty(esk13_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(esk5_1(esk13_0),X1)),esk14_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_77]) ).
cnf(c_0_87,plain,
( in(unordered_pair(singleton(esk2_3(esk14_0,relation_rng(esk14_0),esk5_1(esk13_0))),unordered_pair(esk5_1(esk13_0),esk2_3(esk14_0,relation_rng(esk14_0),esk5_1(esk13_0)))),esk14_0)
| empty(esk13_0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80]),c_0_82])]),c_0_77]) ).
cnf(c_0_88,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_57 ).
cnf(c_0_89,plain,
( in(esk2_3(esk14_0,relation_rng(esk14_0),esk5_1(esk13_0)),empty_set)
| empty(esk13_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
empty(empty_set),
i_0_22 ).
cnf(c_0_91,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_56 ).
cnf(c_0_92,plain,
empty(esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_93,negated_conjecture,
esk13_0 != empty_set,
i_0_48 ).
cnf(c_0_94,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU210+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.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 Jun 19 07:51:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 14.15/3.16 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 14.15/3.16 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 44; version: 991; iters: 150)
% 14.15/3.16 # Preprocessing time : 0.828 s
% 14.15/3.16 # Presaturation interreduction done
% 14.15/3.16
% 14.15/3.16 # Proof found!
% 14.15/3.16 # SZS status Theorem
% 14.15/3.16 # SZS output start CNFRefutation
% See solution above
% 14.15/3.16 # Training examples: 0 positive, 0 negative
% 14.15/3.16
% 14.15/3.16 # -------------------------------------------------
% 14.15/3.16 # User time : 0.750 s
% 14.15/3.16 # System time : 0.117 s
% 14.15/3.16 # Total time : 0.867 s
% 14.15/3.16 # ...preprocessing : 0.828 s
% 14.15/3.16 # ...main loop : 0.039 s
% 14.15/3.16 # Maximum resident set size: 166892 pages
% 14.15/3.16
%------------------------------------------------------------------------------