TSTP Solution File: SET767+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 00:13:57 EDT 2022
% Result : Theorem 8.64s 2.50s
% Output : CNFRefutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 11 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 30 ( 2 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIII03,conjecture,
! [X4,X7,X1] :
( equivalence(X7,X4)
=> subset(equivalence_class(X1,X4,X7),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII03) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(equivalence_class,axiom,
! [X7,X4,X1,X3] :
( member(X3,equivalence_class(X1,X4,X7))
<=> ( member(X3,X4)
& apply(X7,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',equivalence_class) ).
fof(c_0_3,negated_conjecture,
~ ! [X4,X7,X1] :
( equivalence(X7,X4)
=> subset(equivalence_class(X1,X4,X7),X4) ),
inference(assume_negation,[status(cth)],[thIII03]) ).
fof(c_0_4,negated_conjecture,
( equivalence(esk16_0,esk15_0)
& ~ subset(equivalence_class(esk17_0,esk15_0,esk16_0),esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X8,X9,X10,X11,X12] :
( ( ~ subset(X8,X9)
| ~ member(X10,X8)
| member(X10,X9) )
& ( member(esk1_2(X11,X12),X11)
| subset(X11,X12) )
& ( ~ member(esk1_2(X11,X12),X12)
| subset(X11,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).
fof(c_0_6,plain,
! [X69,X70,X71,X72] :
( ( member(X72,X70)
| ~ member(X72,equivalence_class(X71,X70,X69)) )
& ( apply(X69,X71,X72)
| ~ member(X72,equivalence_class(X71,X70,X69)) )
& ( ~ member(X72,X70)
| ~ apply(X69,X71,X72)
| member(X72,equivalence_class(X71,X70,X69)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equivalence_class])])]) ).
cnf(c_0_7,negated_conjecture,
~ subset(equivalence_class(esk17_0,esk15_0,esk16_0),esk15_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( member(X1,X2)
| ~ member(X1,equivalence_class(X3,X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
member(esk1_2(equivalence_class(esk17_0,esk15_0,esk16_0),esk15_0),equivalence_class(esk17_0,esk15_0,esk16_0)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ member(esk1_2(equivalence_class(esk17_0,esk15_0,esk16_0),esk15_0),esk15_0),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 9 18:07:12 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected SinE mode:
% 0.20/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.64/2.50 # ENIGMATIC: Solved by autoschedule:
% 8.64/2.50 # No SInE strategy applied
% 8.64/2.50 # Trying AutoSched0 for 150 seconds
% 8.64/2.50 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S045I
% 8.64/2.50 # and selection function PSelectMaxLComplexNoXTypePred.
% 8.64/2.50 #
% 8.64/2.50 # Preprocessing time : 0.020 s
% 8.64/2.50 # Presaturation interreduction done
% 8.64/2.50
% 8.64/2.50 # Proof found!
% 8.64/2.50 # SZS status Theorem
% 8.64/2.50 # SZS output start CNFRefutation
% See solution above
% 8.64/2.50 # Training examples: 0 positive, 0 negative
% 8.64/2.50
% 8.64/2.50 # -------------------------------------------------
% 8.64/2.50 # User time : 0.024 s
% 8.64/2.50 # System time : 0.008 s
% 8.64/2.50 # Total time : 0.032 s
% 8.64/2.50 # Maximum resident set size: 7120 pages
% 8.64/2.50
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