TSTP Solution File: SET754+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET754+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 9.30s 2.54s
% Output : CNFRefutation 9.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 137 ( 4 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 158 ( 51 ~; 66 |; 31 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-4 aty)
% Number of variables : 80 ( 0 sgn 54 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIIa04,conjecture,
! [X6,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X1) )
=> subset(X11,inverse_image2(X6,image2(X6,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa04) ).
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(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',image2) ).
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_5,negated_conjecture,
~ ! [X6,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X1) )
=> subset(X11,inverse_image2(X6,image2(X6,X11))) ),
inference(assume_negation,[status(cth)],[thIIa04]) ).
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,negated_conjecture,
( maps(esk41_0,esk42_0,esk43_0)
& subset(esk44_0,esk42_0)
& ~ subset(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X54,X55,X56,X57,X59,X60,X61,X62,X63,X64,X66] :
( ( member(esk4_4(X54,X55,X56,X57),X56)
| ~ member(X57,X55)
| ~ maps(X54,X55,X56) )
& ( apply(X54,X57,esk4_4(X54,X55,X56,X57))
| ~ member(X57,X55)
| ~ maps(X54,X55,X56) )
& ( ~ member(X59,X55)
| ~ member(X60,X56)
| ~ member(X61,X56)
| ~ apply(X54,X59,X60)
| ~ apply(X54,X59,X61)
| X60 = X61
| ~ maps(X54,X55,X56) )
& ( member(esk6_3(X62,X63,X64),X63)
| member(esk5_3(X62,X63,X64),X63)
| maps(X62,X63,X64) )
& ( member(esk7_3(X62,X63,X64),X64)
| member(esk5_3(X62,X63,X64),X63)
| maps(X62,X63,X64) )
& ( member(esk8_3(X62,X63,X64),X64)
| member(esk5_3(X62,X63,X64),X63)
| maps(X62,X63,X64) )
& ( apply(X62,esk6_3(X62,X63,X64),esk7_3(X62,X63,X64))
| member(esk5_3(X62,X63,X64),X63)
| maps(X62,X63,X64) )
& ( apply(X62,esk6_3(X62,X63,X64),esk8_3(X62,X63,X64))
| member(esk5_3(X62,X63,X64),X63)
| maps(X62,X63,X64) )
& ( esk7_3(X62,X63,X64) != esk8_3(X62,X63,X64)
| member(esk5_3(X62,X63,X64),X63)
| maps(X62,X63,X64) )
& ( member(esk6_3(X62,X63,X64),X63)
| ~ member(X66,X64)
| ~ apply(X62,esk5_3(X62,X63,X64),X66)
| maps(X62,X63,X64) )
& ( member(esk7_3(X62,X63,X64),X64)
| ~ member(X66,X64)
| ~ apply(X62,esk5_3(X62,X63,X64),X66)
| maps(X62,X63,X64) )
& ( member(esk8_3(X62,X63,X64),X64)
| ~ member(X66,X64)
| ~ apply(X62,esk5_3(X62,X63,X64),X66)
| maps(X62,X63,X64) )
& ( apply(X62,esk6_3(X62,X63,X64),esk7_3(X62,X63,X64))
| ~ member(X66,X64)
| ~ apply(X62,esk5_3(X62,X63,X64),X66)
| maps(X62,X63,X64) )
& ( apply(X62,esk6_3(X62,X63,X64),esk8_3(X62,X63,X64))
| ~ member(X66,X64)
| ~ apply(X62,esk5_3(X62,X63,X64),X66)
| maps(X62,X63,X64) )
& ( esk7_3(X62,X63,X64) != esk8_3(X62,X63,X64)
| ~ member(X66,X64)
| ~ apply(X62,esk5_3(X62,X63,X64),X66)
| maps(X62,X63,X64) ) ),
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)],[maps])])])])])]) ).
cnf(c_0_9,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
subset(esk44_0,esk42_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ subset(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( apply(X1,X2,esk4_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
maps(esk41_0,esk42_0,esk43_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( member(X1,esk42_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
member(esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))),esk44_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,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_18,negated_conjecture,
( apply(esk41_0,X1,esk4_4(esk41_0,esk42_0,esk43_0,X1))
| ~ member(X1,esk42_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
member(esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))),esk42_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_20,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_21,plain,
( member(X4,image2(X3,X2))
| ~ member(X1,X2)
| ~ apply(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
apply(esk41_0,esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))),esk4_4(esk41_0,esk42_0,esk43_0,esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( member(X4,inverse_image2(X3,X2))
| ~ member(X1,X2)
| ~ apply(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( member(esk4_4(esk41_0,esk42_0,esk43_0,esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0)))),image2(esk41_0,X1))
| ~ member(esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( member(esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))),inverse_image2(esk41_0,X1))
| ~ member(esk4_4(esk41_0,esk42_0,esk43_0,esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0)))),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
member(esk4_4(esk41_0,esk42_0,esk43_0,esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0)))),image2(esk41_0,esk44_0)),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_27,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
member(esk1_2(esk44_0,inverse_image2(esk41_0,image2(esk41_0,esk44_0))),inverse_image2(esk41_0,image2(esk41_0,esk44_0))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET754+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 20:17:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # 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
% 9.30/2.54 # ENIGMATIC: Solved by autoschedule:
% 9.30/2.54 # No SInE strategy applied
% 9.30/2.54 # Trying AutoSched0 for 150 seconds
% 9.30/2.54 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S002A
% 9.30/2.54 # and selection function SelectNegativeLiterals.
% 9.30/2.54 #
% 9.30/2.54 # Preprocessing time : 0.033 s
% 9.30/2.54 # Presaturation interreduction done
% 9.30/2.54
% 9.30/2.54 # Proof found!
% 9.30/2.54 # SZS status Theorem
% 9.30/2.54 # SZS output start CNFRefutation
% See solution above
% 9.30/2.54 # Training examples: 0 positive, 0 negative
% 9.30/2.54
% 9.30/2.54 # -------------------------------------------------
% 9.30/2.54 # User time : 0.167 s
% 9.30/2.54 # System time : 0.012 s
% 9.30/2.54 # Total time : 0.178 s
% 9.30/2.54 # Maximum resident set size: 7120 pages
% 9.30/2.54
%------------------------------------------------------------------------------