TSTP Solution File: SET758+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET758+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 00:13:54 EDT 2022
% Result : Theorem 59.09s 8.89s
% Output : CNFRefutation 59.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 163 ( 8 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 190 ( 65 ~; 80 |; 35 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 6 ( 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 : 105 ( 4 sgn 60 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIIa08,conjecture,
! [X6,X1,X2,X5] :
( ( maps(X6,X1,X2)
& subset(X5,X2) )
=> subset(image3(X6,inverse_image3(X6,X5,X1),X2),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa08) ).
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(image3,axiom,
! [X6,X1,X2,X5] :
( member(X5,image3(X6,X1,X2))
<=> ( member(X5,X2)
& ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image3) ).
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/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(inverse_image3,axiom,
! [X6,X2,X1,X3] :
( member(X3,inverse_image3(X6,X2,X1))
<=> ( member(X3,X1)
& ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',inverse_image3) ).
fof(c_0_5,negated_conjecture,
~ ! [X6,X1,X2,X5] :
( ( maps(X6,X1,X2)
& subset(X5,X2) )
=> subset(image3(X6,inverse_image3(X6,X5,X1),X2),X5) ),
inference(assume_negation,[status(cth)],[thIIa08]) ).
fof(c_0_6,negated_conjecture,
( maps(esk41_0,esk42_0,esk43_0)
& subset(esk44_0,esk43_0)
& ~ subset(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_7,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_8,plain,
! [X169,X170,X171,X172,X174,X175,X176,X177,X178] :
( ( member(X172,X171)
| ~ member(X172,image3(X169,X170,X171)) )
& ( member(esk26_4(X169,X170,X171,X172),X170)
| ~ member(X172,image3(X169,X170,X171)) )
& ( apply(X169,esk26_4(X169,X170,X171,X172),X172)
| ~ member(X172,image3(X169,X170,X171)) )
& ( ~ member(X177,X176)
| ~ member(X178,X175)
| ~ apply(X174,X178,X177)
| member(X177,image3(X174,X175,X176)) ) ),
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)],[image3])])])])])]) ).
cnf(c_0_9,negated_conjecture,
~ subset(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,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])])])])])]) ).
fof(c_0_12,plain,
! [X187,X188,X189,X190,X192,X193,X194,X195,X196] :
( ( member(X190,X189)
| ~ member(X190,inverse_image3(X187,X188,X189)) )
& ( member(esk28_4(X187,X188,X189,X190),X188)
| ~ member(X190,inverse_image3(X187,X188,X189)) )
& ( apply(X187,X190,esk28_4(X187,X188,X189,X190))
| ~ member(X190,inverse_image3(X187,X188,X189)) )
& ( ~ member(X195,X194)
| ~ member(X196,X193)
| ~ apply(X192,X195,X196)
| member(X195,inverse_image3(X192,X193,X194)) ) ),
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_image3])])])])])]) ).
cnf(c_0_13,plain,
( member(esk26_4(X1,X2,X3,X4),X2)
| ~ member(X4,image3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
member(esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0),image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( X3 = X5
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ apply(X6,X1,X3)
| ~ apply(X6,X1,X5)
| ~ maps(X6,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
maps(esk41_0,esk42_0,esk43_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,plain,
( apply(X1,esk26_4(X1,X2,X3,X4),X4)
| ~ member(X4,image3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( member(X1,X2)
| ~ member(X1,image3(X3,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
( member(X1,X2)
| ~ member(X1,inverse_image3(X3,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
member(esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0)),inverse_image3(esk41_0,esk44_0,esk42_0)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
subset(esk44_0,esk43_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,plain,
( member(esk28_4(X1,X2,X3,X4),X2)
| ~ member(X4,inverse_image3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
( X1 = X2
| ~ apply(esk41_0,X3,X2)
| ~ apply(esk41_0,X3,X1)
| ~ member(X2,esk43_0)
| ~ member(X1,esk43_0)
| ~ member(X3,esk42_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
apply(esk41_0,esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0)),esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0)),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_26,negated_conjecture,
member(esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0),esk43_0),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_27,negated_conjecture,
member(esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0)),esk42_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,plain,
( apply(X1,X2,esk28_4(X1,X3,X4,X2))
| ~ member(X2,inverse_image3(X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
( member(X1,esk43_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
member(esk28_4(esk41_0,esk44_0,esk42_0,esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0))),esk44_0),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_31,negated_conjecture,
( esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0) = X1
| ~ apply(esk41_0,esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0)),X1)
| ~ member(X1,esk43_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_32,negated_conjecture,
apply(esk41_0,esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0)),esk28_4(esk41_0,esk44_0,esk42_0,esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0)))),
inference(spm,[status(thm)],[c_0_28,c_0_20]) ).
cnf(c_0_33,negated_conjecture,
member(esk28_4(esk41_0,esk44_0,esk42_0,esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0))),esk43_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
esk28_4(esk41_0,esk44_0,esk42_0,esk26_4(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0,esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0))) = esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_35,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,negated_conjecture,
member(esk1_2(image3(esk41_0,inverse_image3(esk41_0,esk44_0,esk42_0),esk43_0),esk44_0),esk44_0),
inference(rw,[status(thm)],[c_0_30,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET758+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 08:20:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 59.09/8.89 # ENIGMATIC: Solved by autoschedule:
% 59.09/8.89 # No SInE strategy applied
% 59.09/8.89 # Trying AutoSched0 for 150 seconds
% 59.09/8.89 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S002A
% 59.09/8.89 # and selection function SelectNegativeLiterals.
% 59.09/8.89 #
% 59.09/8.89 # Preprocessing time : 0.033 s
% 59.09/8.89 # Presaturation interreduction done
% 59.09/8.89
% 59.09/8.89 # Proof found!
% 59.09/8.89 # SZS status Theorem
% 59.09/8.89 # SZS output start CNFRefutation
% See solution above
% 59.09/8.89 # Training examples: 0 positive, 0 negative
% 59.09/8.89
% 59.09/8.89 # -------------------------------------------------
% 59.09/8.89 # User time : 6.139 s
% 59.09/8.89 # System time : 0.363 s
% 59.09/8.89 # Total time : 6.502 s
% 59.09/8.89 # Maximum resident set size: 7120 pages
% 59.09/8.89
%------------------------------------------------------------------------------