%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:39:34 EDT 2022
% Result : Theorem 13.30s 3.09s
% Output : CNFRefutation 13.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 9 unt; 11 nHn; 22 RR)
% Number of literals : 88 ( 12 equ; 45 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_9) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_3) ).
cnf(i_0_8,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_8) ).
cnf(i_0_11,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_11) ).
cnf(i_0_42,negated_conjecture,
relation(esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_42) ).
cnf(i_0_7,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_7) ).
cnf(i_0_12,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_12) ).
cnf(i_0_41,negated_conjecture,
subset(esk12_0,esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_41) ).
cnf(i_0_10,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_10) ).
cnf(i_0_40,negated_conjecture,
~ subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-girbok1z/input.p',i_0_40) ).
cnf(c_0_53,plain,
( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
i_0_9 ).
cnf(c_0_54,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_55,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_8 ).
cnf(c_0_56,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_4(X2,X3,X4,X1))),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ in(X1,X4)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
( in(esk1_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2))
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_58,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
i_0_11 ).
cnf(c_0_59,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)
| ~ in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_60,plain,
( in(esk1_4(X1,X2,relation_inverse_image(X1,X2),esk4_2(relation_inverse_image(X1,X2),X3)),X2)
| subset(relation_inverse_image(X1,X2),X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
relation(esk14_0),
i_0_42 ).
cnf(c_0_62,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
i_0_7 ).
cnf(c_0_63,plain,
( in(unordered_pair(singleton(esk4_2(relation_inverse_image(X1,X2),X3)),unordered_pair(esk4_2(relation_inverse_image(X1,X2),X3),esk1_4(X1,X2,relation_inverse_image(X1,X2),esk4_2(relation_inverse_image(X1,X2),X3)))),X1)
| subset(relation_inverse_image(X1,X2),X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_64,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_12 ).
cnf(c_0_65,negated_conjecture,
( in(esk1_4(esk14_0,X1,relation_inverse_image(esk14_0,X1),esk4_2(relation_inverse_image(esk14_0,X1),X2)),X1)
| subset(relation_inverse_image(esk14_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3)
| ~ in(X5,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( in(unordered_pair(singleton(esk4_2(relation_inverse_image(esk14_0,X1),X2)),unordered_pair(esk4_2(relation_inverse_image(esk14_0,X1),X2),esk1_4(esk14_0,X1,relation_inverse_image(esk14_0,X1),esk4_2(relation_inverse_image(esk14_0,X1),X2)))),esk14_0)
| subset(relation_inverse_image(esk14_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_61]) ).
cnf(c_0_68,plain,
( in(esk1_4(esk14_0,X1,relation_inverse_image(esk14_0,X1),esk4_2(relation_inverse_image(esk14_0,X1),X2)),X3)
| subset(relation_inverse_image(esk14_0,X1),X2)
| ~ subset(X1,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
subset(esk12_0,esk13_0),
i_0_41 ).
cnf(c_0_70,plain,
( in(esk4_2(relation_inverse_image(esk14_0,X1),X2),X3)
| subset(relation_inverse_image(esk14_0,X1),X2)
| X3 != relation_inverse_image(esk14_0,X4)
| ~ in(esk1_4(esk14_0,X1,relation_inverse_image(esk14_0,X1),esk4_2(relation_inverse_image(esk14_0,X1),X2)),X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_61])]) ).
cnf(c_0_71,negated_conjecture,
( in(esk1_4(esk14_0,esk12_0,relation_inverse_image(esk14_0,esk12_0),esk4_2(relation_inverse_image(esk14_0,esk12_0),X1)),esk13_0)
| subset(relation_inverse_image(esk14_0,esk12_0),X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,plain,
( in(esk4_2(relation_inverse_image(esk14_0,esk12_0),X1),X2)
| subset(relation_inverse_image(esk14_0,esk12_0),X1)
| X2 != relation_inverse_image(esk14_0,esk13_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
i_0_10 ).
cnf(c_0_74,plain,
( in(esk4_2(relation_inverse_image(esk14_0,esk12_0),X1),relation_inverse_image(esk14_0,esk13_0))
| subset(relation_inverse_image(esk14_0,esk12_0),X1) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_75,negated_conjecture,
~ subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0)),
i_0_40 ).
cnf(c_0_76,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 20 06:07:40 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 13.30/3.09 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.30/3.09 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.30/3.09 # 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: 33; version: 991; iters: 150)
% 13.30/3.09 # Preprocessing time : 0.726 s
% 13.30/3.09
% 13.30/3.09 # Proof found!
% 13.30/3.09 # SZS status Theorem
% 13.30/3.09 # SZS output start CNFRefutation
% See solution above
% 13.30/3.09 # Training examples: 0 positive, 0 negative
% 13.30/3.09
% 13.30/3.09 # -------------------------------------------------
% 13.30/3.09 # User time : 0.637 s
% 13.30/3.09 # System time : 0.100 s
% 13.30/3.09 # Total time : 0.737 s
% 13.30/3.09 # ...preprocessing : 0.726 s
% 13.30/3.09 # ...main loop : 0.011 s
% 13.30/3.09 # Maximum resident set size: 152684 pages
% 13.30/3.09
%------------------------------------------------------------------------------