%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET753+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 17.50s 3.75s
% Output : CNFRefutation 17.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 73 ( 27 ~; 25 |; 15 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 62 ( 2 sgn 34 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIIa03,conjecture,
! [X6,X1,X2,X3,X5] :
( ( maps(X6,X1,X2)
& subset(X3,X1)
& subset(X5,X1) )
=> subset(image2(X6,intersection(X3,X5)),intersection(image2(X6,X3),image2(X6,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa03) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image2) ).
fof(intersection,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(c_0_4,negated_conjecture,
~ ! [X6,X1,X2,X3,X5] :
( ( maps(X6,X1,X2)
& subset(X3,X1)
& subset(X5,X1) )
=> subset(image2(X6,intersection(X3,X5)),intersection(image2(X6,X3),image2(X6,X5))) ),
inference(assume_negation,[status(cth)],[thIIa03]) ).
fof(c_0_5,negated_conjecture,
( maps(esk41_0,esk42_0,esk43_0)
& subset(esk44_0,esk42_0)
& subset(esk45_0,esk42_0)
& ~ subset(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,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_7,plain,
! [X161,X162,X163,X165,X166,X167,X168] :
( ( member(esk25_3(X161,X162,X163),X162)
| ~ member(X163,image2(X161,X162)) )
& ( apply(X161,esk25_3(X161,X162,X163),X163)
| ~ member(X163,image2(X161,X162)) )
& ( ~ member(X168,X166)
| ~ apply(X165,X168,X167)
| member(X167,image2(X165,X166)) ) ),
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)],[image2])])])])])]) ).
cnf(c_0_8,negated_conjecture,
~ subset(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( apply(X1,esk25_3(X1,X2,X3),X3)
| ~ member(X3,image2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,intersection(esk44_0,esk45_0))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_12,plain,
! [X27,X28,X29] :
( ( member(X27,X28)
| ~ member(X27,intersection(X28,X29)) )
& ( member(X27,X29)
| ~ member(X27,intersection(X28,X29)) )
& ( ~ member(X27,X28)
| ~ member(X27,X29)
| member(X27,intersection(X28,X29)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])]) ).
cnf(c_0_13,plain,
( member(esk25_3(X1,X2,X3),X2)
| ~ member(X3,image2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( member(X4,image2(X3,X2))
| ~ member(X1,X2)
| ~ apply(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
apply(esk41_0,esk25_3(esk41_0,intersection(esk44_0,esk45_0),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
member(esk25_3(esk41_0,intersection(esk44_0,esk45_0),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),intersection(esk44_0,esk45_0)),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_18,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
( member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,X1))
| ~ member(esk25_3(esk41_0,intersection(esk44_0,esk45_0),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
member(esk25_3(esk41_0,intersection(esk44_0,esk45_0),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),esk45_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,plain,
( subset(X1,intersection(X2,X3))
| ~ member(esk1_2(X1,intersection(X2,X3)),X3)
| ~ member(esk1_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,esk45_0)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
member(esk25_3(esk41_0,intersection(esk44_0,esk45_0),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),esk44_0),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
~ member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,esk44_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_8]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET753+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 07:53:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.50/3.75 # ENIGMATIC: Solved by autoschedule:
% 17.50/3.75 # No SInE strategy applied
% 17.50/3.75 # Trying AutoSched0 for 150 seconds
% 17.50/3.75 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S01DA
% 17.50/3.75 # and selection function PSelectMinOptimalNoRXTypePred.
% 17.50/3.75 #
% 17.50/3.75 # Preprocessing time : 0.020 s
% 17.50/3.75 # Presaturation interreduction done
% 17.50/3.75
% 17.50/3.75 # Proof found!
% 17.50/3.75 # SZS status Theorem
% 17.50/3.75 # SZS output start CNFRefutation
% See solution above
% 17.50/3.75 # Training examples: 0 positive, 0 negative
% 17.50/3.75
% 17.50/3.75 # -------------------------------------------------
% 17.50/3.75 # User time : 1.158 s
% 17.50/3.75 # System time : 0.075 s
% 17.50/3.75 # Total time : 1.233 s
% 17.50/3.75 # Maximum resident set size: 7120 pages
% 17.50/3.75
%------------------------------------------------------------------------------