%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 00:09:23 EDT 2022
% Result : Theorem 8.48s 2.39s
% Output : CNFRefutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 29 ( 11 ~; 9 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI44,conjecture,
! [X1,X3] :
( member(X3,X1)
=> subset(singleton(X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI44) ).
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(singleton,axiom,
! [X3,X1] :
( member(X3,singleton(X1))
<=> X3 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',singleton) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X3] :
( member(X3,X1)
=> subset(singleton(X3),X1) ),
inference(assume_negation,[status(cth)],[thI44]) ).
fof(c_0_4,negated_conjecture,
( member(esk5_0,esk4_0)
& ~ subset(singleton(esk5_0),esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ subset(X6,X7)
| ~ member(X8,X6)
| member(X8,X7) )
& ( member(esk1_2(X9,X10),X9)
| subset(X9,X10) )
& ( ~ member(esk1_2(X9,X10),X10)
| subset(X9,X10) ) ),
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,
! [X26,X27] :
( ( ~ member(X26,singleton(X27))
| X26 = X27 )
& ( X26 != X27
| member(X26,singleton(X27)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[singleton])]) ).
cnf(c_0_7,negated_conjecture,
~ subset(singleton(esk5_0),esk4_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,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
member(esk1_2(singleton(esk5_0),esk4_0),singleton(esk5_0)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ member(esk1_2(singleton(esk5_0),esk4_0),esk4_0),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
esk1_2(singleton(esk5_0),esk4_0) = esk5_0,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
member(esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.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 : Mon Jul 11 00:16:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.48/2.39 # ENIGMATIC: Solved by autoschedule:
% 8.48/2.39 # No SInE strategy applied
% 8.48/2.39 # Trying AutoSched0 for 150 seconds
% 8.48/2.39 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 8.48/2.39 # and selection function SelectVGNonCR.
% 8.48/2.39 #
% 8.48/2.39 # Preprocessing time : 0.014 s
% 8.48/2.39 # Presaturation interreduction done
% 8.48/2.39
% 8.48/2.39 # Proof found!
% 8.48/2.39 # SZS status Theorem
% 8.48/2.39 # SZS output start CNFRefutation
% See solution above
% 8.48/2.39 # Training examples: 0 positive, 0 negative
% 8.48/2.39
% 8.48/2.39 # -------------------------------------------------
% 8.48/2.39 # User time : 0.017 s
% 8.48/2.39 # System time : 0.003 s
% 8.48/2.39 # Total time : 0.020 s
% 8.48/2.39 # Maximum resident set size: 7116 pages
% 8.48/2.39
%------------------------------------------------------------------------------