TSTP Solution File: SEU227+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU227+3 : 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 08:39:48 EDT 2022
% Result : Theorem 9.75s 2.70s
% Output : CNFRefutation 9.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 9 unt; 2 nHn; 30 RR)
% Number of literals : 112 ( 23 equ; 78 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 90 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_11) ).
cnf(i_0_7,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_7) ).
cnf(i_0_26,plain,
( in(unordered_pair(unordered_pair(X1,esk8_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_26) ).
cnf(i_0_17,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/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_17) ).
cnf(i_0_22,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_22) ).
cnf(i_0_64,negated_conjecture,
subset(esk22_0,relation_dom(esk23_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_64) ).
cnf(i_0_20,plain,
( subset(X1,X2)
| ~ in(esk7_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_20) ).
cnf(i_0_21,plain,
( subset(X1,X2)
| in(esk7_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_21) ).
cnf(i_0_63,negated_conjecture,
~ subset(esk22_0,relation_inverse_image(esk23_0,relation_image(esk23_0,esk22_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_63) ).
cnf(i_0_65,negated_conjecture,
relation(esk23_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vw21ljhu/lgb.p',i_0_65) ).
cnf(c_0_76,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
i_0_11 ).
cnf(c_0_77,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_7 ).
cnf(c_0_78,plain,
( in(unordered_pair(unordered_pair(X1,esk8_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_26 ).
cnf(c_0_79,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_17 ).
cnf(c_0_80,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X1)),X3)
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk8_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_78,c_0_77]) ).
cnf(c_0_82,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3)
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_79,c_0_77]) ).
cnf(c_0_83,plain,
( in(esk8_3(X1,X2,X3),X4)
| X4 != relation_image(X1,X5)
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X5)
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| X5 != relation_dom(X3)
| ~ relation(X3)
| ~ in(esk8_3(X3,X5,X1),X4)
| ~ in(X1,X5) ),
inference(spm,[status(thm)],[c_0_82,c_0_81]) ).
cnf(c_0_85,plain,
( in(esk8_3(X1,X2,X3),relation_image(X1,X4))
| X2 != relation_dom(X1)
| ~ relation(X1)
| ~ in(X3,X4)
| ~ in(X3,X2) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_86,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,relation_image(X3,X4))
| X5 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,X5)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_87,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_22 ).
cnf(c_0_88,negated_conjecture,
subset(esk22_0,relation_dom(esk23_0)),
i_0_64 ).
cnf(c_0_89,plain,
( in(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| X4 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_90,negated_conjecture,
( in(X1,relation_dom(esk23_0))
| ~ in(X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_91,plain,
( subset(X1,X2)
| ~ in(esk7_2(X1,X2),X2) ),
i_0_20 ).
cnf(c_0_92,negated_conjecture,
( in(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| relation_dom(esk23_0) != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,esk22_0)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,plain,
( subset(X1,relation_inverse_image(X2,relation_image(X2,X3)))
| relation_dom(esk23_0) != relation_dom(X2)
| ~ relation(X2)
| ~ in(esk7_2(X1,relation_inverse_image(X2,relation_image(X2,X3))),esk22_0)
| ~ in(esk7_2(X1,relation_inverse_image(X2,relation_image(X2,X3))),X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_94,plain,
( subset(X1,X2)
| in(esk7_2(X1,X2),X1) ),
i_0_21 ).
cnf(c_0_95,plain,
( subset(esk22_0,relation_inverse_image(X1,relation_image(X1,X2)))
| relation_dom(esk23_0) != relation_dom(X1)
| ~ relation(X1)
| ~ in(esk7_2(esk22_0,relation_inverse_image(X1,relation_image(X1,X2))),X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_96,negated_conjecture,
~ subset(esk22_0,relation_inverse_image(esk23_0,relation_image(esk23_0,esk22_0))),
i_0_63 ).
cnf(c_0_97,plain,
( subset(esk22_0,relation_inverse_image(X1,relation_image(X1,esk22_0)))
| relation_dom(esk23_0) != relation_dom(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_94]) ).
cnf(c_0_98,negated_conjecture,
relation(esk23_0),
i_0_65 ).
cnf(c_0_99,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU227+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 01:15:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.75/2.70 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.75/2.70 # No SInE strategy applied
% 9.75/2.70 # Trying AutoSched0 for 150 seconds
% 9.75/2.70 # AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 9.75/2.70 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.75/2.70 #
% 9.75/2.70 # Preprocessing time : 0.025 s
% 9.75/2.70
% 9.75/2.70 # Proof found!
% 9.75/2.70 # SZS status Theorem
% 9.75/2.70 # SZS output start CNFRefutation
% See solution above
% 9.75/2.70 # Training examples: 0 positive, 0 negative
% 9.75/2.70
% 9.75/2.70 # -------------------------------------------------
% 9.75/2.70 # User time : 0.286 s
% 9.75/2.70 # System time : 0.011 s
% 9.75/2.70 # Total time : 0.297 s
% 9.75/2.70 # Maximum resident set size: 7124 pages
% 9.75/2.70
%------------------------------------------------------------------------------