TSTP Solution File: SET720+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET720+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 00:13:40 EDT 2022
% Result : Theorem 41.22s 6.56s
% Output : CNFRefutation 41.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 155 ( 12 equ)
% Maximal formula atoms : 55 ( 5 avg)
% Number of connectives : 182 ( 57 ~; 80 |; 34 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 92 ( 0 sgn 52 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII11,conjecture,
! [X6,X1,X2] :
( ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2) )
=> equal_maps(inverse_function(inverse_function(X6,X1,X2),X2,X1),X6,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII11) ).
fof(equal_maps,axiom,
! [X6,X10,X1,X2] :
( equal_maps(X6,X10,X1,X2)
<=> ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X10,X3,X8) )
=> X7 = X8 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',equal_maps) ).
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_function,axiom,
! [X6,X1,X2,X3,X5] :
( ( member(X3,X1)
& member(X5,X2) )
=> ( apply(X6,X3,X5)
<=> apply(inverse_function(X6,X1,X2),X5,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',inverse_function) ).
fof(c_0_4,negated_conjecture,
~ ! [X6,X1,X2] :
( ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2) )
=> equal_maps(inverse_function(inverse_function(X6,X1,X2),X2,X1),X6,X1,X2) ),
inference(assume_negation,[status(cth)],[thII11]) ).
fof(c_0_5,negated_conjecture,
( maps(esk41_0,esk42_0,esk43_0)
& one_to_one(esk41_0,esk42_0,esk43_0)
& ~ equal_maps(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
! [X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109] :
( ( ~ equal_maps(X99,X100,X101,X102)
| ~ member(X103,X101)
| ~ member(X104,X102)
| ~ member(X105,X102)
| ~ apply(X99,X103,X104)
| ~ apply(X100,X103,X105)
| X104 = X105 )
& ( member(esk14_4(X106,X107,X108,X109),X108)
| equal_maps(X106,X107,X108,X109) )
& ( member(esk15_4(X106,X107,X108,X109),X109)
| equal_maps(X106,X107,X108,X109) )
& ( member(esk16_4(X106,X107,X108,X109),X109)
| equal_maps(X106,X107,X108,X109) )
& ( apply(X106,esk14_4(X106,X107,X108,X109),esk15_4(X106,X107,X108,X109))
| equal_maps(X106,X107,X108,X109) )
& ( apply(X107,esk14_4(X106,X107,X108,X109),esk16_4(X106,X107,X108,X109))
| equal_maps(X106,X107,X108,X109) )
& ( esk15_4(X106,X107,X108,X109) != esk16_4(X106,X107,X108,X109)
| equal_maps(X106,X107,X108,X109) ) ),
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)],[equal_maps])])])])])]) ).
fof(c_0_7,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_8,plain,
! [X156,X157,X158,X159,X160] :
( ( ~ apply(X156,X159,X160)
| apply(inverse_function(X156,X157,X158),X160,X159)
| ~ member(X159,X157)
| ~ member(X160,X158) )
& ( ~ apply(inverse_function(X156,X157,X158),X160,X159)
| apply(X156,X159,X160)
| ~ member(X159,X157)
| ~ member(X160,X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inverse_function])])]) ).
cnf(c_0_9,negated_conjecture,
~ equal_maps(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( apply(X1,esk14_4(X1,X2,X3,X4),esk15_4(X1,X2,X3,X4))
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( member(esk15_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( member(esk14_4(X1,X2,X3,X4),X3)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,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_7]) ).
cnf(c_0_14,negated_conjecture,
maps(esk41_0,esk42_0,esk43_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( apply(X1,esk14_4(X2,X1,X3,X4),esk16_4(X2,X1,X3,X4))
| equal_maps(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
( member(esk16_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,plain,
( apply(X1,X5,X4)
| ~ apply(inverse_function(X1,X2,X3),X4,X5)
| ~ member(X5,X2)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
apply(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk14_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),esk15_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_19,negated_conjecture,
member(esk15_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),esk43_0),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
member(esk14_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),esk42_0),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_21,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_13,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
apply(esk41_0,esk14_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),esk16_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0)),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
member(esk16_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),esk43_0),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
apply(inverse_function(esk41_0,esk42_0,esk43_0),esk15_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),esk14_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
( esk16_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0) = X1
| ~ apply(esk41_0,esk14_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),X1)
| ~ member(X1,esk43_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_20])]) ).
cnf(c_0_26,negated_conjecture,
apply(esk41_0,esk14_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),esk15_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_24]),c_0_20]),c_0_19])]) ).
cnf(c_0_27,plain,
( equal_maps(X1,X2,X3,X4)
| esk15_4(X1,X2,X3,X4) != esk16_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
esk15_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0) = esk16_4(inverse_function(inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0),esk41_0,esk42_0,esk43_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19])]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET720+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 17:50:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.21/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 41.22/6.56 # ENIGMATIC: Solved by autoschedule:
% 41.22/6.56 # No SInE strategy applied
% 41.22/6.56 # Trying AutoSched0 for 150 seconds
% 41.22/6.56 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S002A
% 41.22/6.56 # and selection function SelectNegativeLiterals.
% 41.22/6.56 #
% 41.22/6.56 # Preprocessing time : 0.028 s
% 41.22/6.56 # Presaturation interreduction done
% 41.22/6.56
% 41.22/6.56 # Proof found!
% 41.22/6.56 # SZS status Theorem
% 41.22/6.56 # SZS output start CNFRefutation
% See solution above
% 41.22/6.56 # Training examples: 0 positive, 0 negative
% 41.22/6.56
% 41.22/6.56 # -------------------------------------------------
% 41.22/6.56 # User time : 4.018 s
% 41.22/6.56 # System time : 0.209 s
% 41.22/6.56 # Total time : 4.228 s
% 41.22/6.56 # Maximum resident set size: 7124 pages
% 41.22/6.56
%------------------------------------------------------------------------------