%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU245+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:40:02 EDT 2022
% Result : Theorem 8.16s 2.67s
% Output : CNFRefutation 8.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 6 unt; 5 nHn; 25 RR)
% Number of literals : 60 ( 8 equ; 33 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_190,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q77ppsmf/lgb.p',i_0_190) ).
cnf(i_0_218,plain,
( set_difference(X1,set_difference(X1,cartesian_product2(X2,X2))) = relation_restriction(X1,X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q77ppsmf/lgb.p',i_0_218) ).
cnf(i_0_451,negated_conjecture,
( in(esk103_0,esk105_0)
| in(esk103_0,relation_restriction(esk105_0,esk104_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q77ppsmf/lgb.p',i_0_451) ).
cnf(i_0_453,negated_conjecture,
relation(esk105_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q77ppsmf/lgb.p',i_0_453) ).
cnf(i_0_452,negated_conjecture,
( ~ in(esk103_0,esk105_0)
| ~ in(esk103_0,cartesian_product2(esk104_0,esk104_0))
| ~ in(esk103_0,relation_restriction(esk105_0,esk104_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q77ppsmf/lgb.p',i_0_452) ).
cnf(i_0_153,plain,
( in(X1,X2)
| X3 != set_difference(X4,set_difference(X4,X2))
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q77ppsmf/lgb.p',i_0_153) ).
cnf(i_0_450,negated_conjecture,
( in(esk103_0,cartesian_product2(esk104_0,esk104_0))
| in(esk103_0,relation_restriction(esk105_0,esk104_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q77ppsmf/lgb.p',i_0_450) ).
cnf(i_0_152,plain,
( in(X1,X2)
| X2 != set_difference(X3,set_difference(X3,X4))
| ~ in(X1,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q77ppsmf/lgb.p',i_0_152) ).
cnf(c_0_462,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
i_0_190 ).
cnf(c_0_463,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[c_0_462]) ).
cnf(c_0_464,plain,
( set_difference(X1,set_difference(X1,cartesian_product2(X2,X2))) = relation_restriction(X1,X2)
| ~ relation(X1) ),
i_0_218 ).
cnf(c_0_465,plain,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
inference(spm,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_466,negated_conjecture,
( in(esk103_0,esk105_0)
| in(esk103_0,relation_restriction(esk105_0,esk104_0)) ),
i_0_451 ).
cnf(c_0_467,negated_conjecture,
relation(esk105_0),
i_0_453 ).
cnf(c_0_468,negated_conjecture,
( ~ in(esk103_0,esk105_0)
| ~ in(esk103_0,cartesian_product2(esk104_0,esk104_0))
| ~ in(esk103_0,relation_restriction(esk105_0,esk104_0)) ),
i_0_452 ).
cnf(c_0_469,negated_conjecture,
in(esk103_0,esk105_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_467])]) ).
cnf(c_0_470,plain,
( in(X1,X2)
| X3 != set_difference(X4,set_difference(X4,X2))
| ~ in(X1,X3) ),
i_0_153 ).
cnf(c_0_471,negated_conjecture,
( in(esk103_0,cartesian_product2(esk104_0,esk104_0))
| in(esk103_0,relation_restriction(esk105_0,esk104_0)) ),
i_0_450 ).
cnf(c_0_472,negated_conjecture,
( ~ in(esk103_0,cartesian_product2(esk104_0,esk104_0))
| ~ in(esk103_0,relation_restriction(esk105_0,esk104_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_468,c_0_469])]) ).
cnf(c_0_473,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X3,set_difference(X3,X2))) ),
inference(er,[status(thm)],[c_0_470]) ).
cnf(c_0_474,negated_conjecture,
( in(esk103_0,set_difference(esk105_0,set_difference(esk105_0,cartesian_product2(esk104_0,esk104_0))))
| in(esk103_0,cartesian_product2(esk104_0,esk104_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_464]),c_0_467])]) ).
cnf(c_0_475,plain,
( ~ in(esk103_0,set_difference(esk105_0,set_difference(esk105_0,cartesian_product2(esk104_0,esk104_0))))
| ~ in(esk103_0,cartesian_product2(esk104_0,esk104_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_464]),c_0_467])]) ).
cnf(c_0_476,negated_conjecture,
in(esk103_0,cartesian_product2(esk104_0,esk104_0)),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_477,plain,
( in(X1,X2)
| X2 != set_difference(X3,set_difference(X3,X4))
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_152 ).
cnf(c_0_478,plain,
~ in(esk103_0,set_difference(esk105_0,set_difference(esk105_0,cartesian_product2(esk104_0,esk104_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_476])]) ).
cnf(c_0_479,plain,
( in(X1,set_difference(X2,set_difference(X2,X3)))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_477]) ).
cnf(c_0_480,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_479]),c_0_476]),c_0_469])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU245+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 13:54:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.47 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.16/2.67 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.16/2.67 # No SInE strategy applied
% 8.16/2.67 # Trying AutoSched0 for 150 seconds
% 8.16/2.67 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.16/2.67 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.16/2.67 #
% 8.16/2.67 # Preprocessing time : 0.029 s
% 8.16/2.67
% 8.16/2.67 # Proof found!
% 8.16/2.67 # SZS status Theorem
% 8.16/2.67 # SZS output start CNFRefutation
% See solution above
% 8.16/2.67 # Training examples: 0 positive, 0 negative
% 8.16/2.67
% 8.16/2.67 # -------------------------------------------------
% 8.16/2.67 # User time : 0.114 s
% 8.16/2.67 # System time : 0.010 s
% 8.16/2.67 # Total time : 0.123 s
% 8.16/2.67 # Maximum resident set size: 7124 pages
% 8.16/2.67
%------------------------------------------------------------------------------