%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET755+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 00:13:53 EDT 2022
% Result : Theorem 7.94s 2.41s
% Output : CNFRefutation 7.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 57 ( 19 ~; 18 |; 15 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIIa05,conjecture,
! [X6,X1,X2,X3,X5] :
( ( maps(X6,X1,X2)
& subset(X3,X2)
& subset(X5,X2)
& subset(X3,X5) )
=> subset(inverse_image2(X6,X3),inverse_image2(X6,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa05) ).
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(inverse_image2,axiom,
! [X6,X2,X3] :
( member(X3,inverse_image2(X6,X2))
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',inverse_image2) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X1,X2,X3,X5] :
( ( maps(X6,X1,X2)
& subset(X3,X2)
& subset(X5,X2)
& subset(X3,X5) )
=> subset(inverse_image2(X6,X3),inverse_image2(X6,X5)) ),
inference(assume_negation,[status(cth)],[thIIa05]) ).
fof(c_0_4,negated_conjecture,
( maps(esk41_0,esk42_0,esk43_0)
& subset(esk44_0,esk43_0)
& subset(esk45_0,esk43_0)
& subset(esk44_0,esk45_0)
& ~ subset(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X17,X18,X19,X20,X21] :
( ( ~ subset(X17,X18)
| ~ member(X19,X17)
| member(X19,X18) )
& ( member(esk1_2(X20,X21),X20)
| subset(X20,X21) )
& ( ~ member(esk1_2(X20,X21),X21)
| subset(X20,X21) ) ),
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,
! [X179,X180,X181,X183,X184,X185,X186] :
( ( member(esk27_3(X179,X180,X181),X180)
| ~ member(X181,inverse_image2(X179,X180)) )
& ( apply(X179,X181,esk27_3(X179,X180,X181))
| ~ member(X181,inverse_image2(X179,X180)) )
& ( ~ member(X186,X184)
| ~ apply(X183,X185,X186)
| member(X185,inverse_image2(X183,X184)) ) ),
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)],[inverse_image2])])])])])]) ).
cnf(c_0_7,negated_conjecture,
~ subset(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_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,
( apply(X1,X2,esk27_3(X1,X3,X2))
| ~ member(X2,inverse_image2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
member(esk1_2(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0)),inverse_image2(esk41_0,esk44_0)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
subset(esk44_0,esk45_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( member(esk27_3(X1,X2,X3),X2)
| ~ member(X3,inverse_image2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( member(X4,inverse_image2(X3,X2))
| ~ member(X1,X2)
| ~ apply(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
apply(esk41_0,esk1_2(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0)),esk27_3(esk41_0,esk44_0,esk1_2(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0)))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( member(X1,esk45_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
member(esk27_3(esk41_0,esk44_0,esk1_2(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0))),esk44_0),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( member(esk1_2(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0)),inverse_image2(esk41_0,X1))
| ~ member(esk27_3(esk41_0,esk44_0,esk1_2(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0))),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
member(esk27_3(esk41_0,esk44_0,esk1_2(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0))),esk45_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
member(esk1_2(inverse_image2(esk41_0,esk44_0),inverse_image2(esk41_0,esk45_0)),inverse_image2(esk41_0,esk45_0)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET755+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n006.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 : Sun Jul 10 00:36:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.94/2.41 # ENIGMATIC: Solved by autoschedule:
% 7.94/2.41 # No SInE strategy applied
% 7.94/2.41 # Trying AutoSched0 for 150 seconds
% 7.94/2.41 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S01DA
% 7.94/2.41 # and selection function PSelectMinOptimalNoRXTypePred.
% 7.94/2.41 #
% 7.94/2.41 # Preprocessing time : 0.034 s
% 7.94/2.41 # Presaturation interreduction done
% 7.94/2.41
% 7.94/2.41 # Proof found!
% 7.94/2.41 # SZS status Theorem
% 7.94/2.41 # SZS output start CNFRefutation
% See solution above
% 7.94/2.41 # Training examples: 0 positive, 0 negative
% 7.94/2.41
% 7.94/2.41 # -------------------------------------------------
% 7.94/2.41 # User time : 0.060 s
% 7.94/2.41 # System time : 0.008 s
% 7.94/2.41 # Total time : 0.069 s
% 7.94/2.41 # Maximum resident set size: 7112 pages
% 7.94/2.41
%------------------------------------------------------------------------------