%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 16:54:42 EDT 2022
% Result : Theorem 7.91s 2.36s
% Output : CNFRefutation 7.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 179 ( 13 equ)
% Maximal formula atoms : 105 ( 6 avg)
% Number of connectives : 226 ( 74 ~; 105 |; 38 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 61 ( 2 sgn 35 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(diff_elem_in_partition,conjecture,
! [X3,X1,X2,X11] :
( ( member(X3,difference(X1,X2))
& partition(X11,X1) )
=> ? [X12] :
( member(X12,difference(X11,singleton(X2)))
& member(X3,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_elem_in_partition) ).
fof(difference,axiom,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).
fof(singleton,axiom,
! [X3,X1] :
( member(X3,singleton(X1))
<=> X3 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',singleton) ).
fof(partition,axiom,
! [X1,X4] :
( partition(X1,X4)
<=> ( ! [X3] :
( member(X3,X1)
=> subset(X3,X4) )
& ! [X3] :
( member(X3,X4)
=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( ? [X6] :
( member(X6,X3)
& member(X6,X5) )
=> X3 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',partition) ).
fof(c_0_4,negated_conjecture,
~ ! [X3,X1,X2,X11] :
( ( member(X3,difference(X1,X2))
& partition(X11,X1) )
=> ? [X12] :
( member(X12,difference(X11,singleton(X2)))
& member(X3,X12) ) ),
inference(assume_negation,[status(cth)],[diff_elem_in_partition]) ).
fof(c_0_5,negated_conjecture,
! [X112] :
( member(esk19_0,difference(esk20_0,esk21_0))
& partition(esk22_0,esk20_0)
& ( ~ member(X112,difference(esk22_0,singleton(esk21_0)))
| ~ member(esk19_0,X112) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_6,plain,
! [X30,X31,X32] :
( ( member(X30,X32)
| ~ member(X30,difference(X32,X31)) )
& ( ~ member(X30,X31)
| ~ member(X30,difference(X32,X31)) )
& ( ~ member(X30,X32)
| member(X30,X31)
| member(X30,difference(X32,X31)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[difference])])])]) ).
fof(c_0_7,plain,
! [X33,X34] :
( ( ~ member(X33,singleton(X34))
| X33 = X34 )
& ( X33 != X34
| member(X33,singleton(X34)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[singleton])]) ).
cnf(c_0_8,negated_conjecture,
( ~ member(X1,difference(esk22_0,singleton(esk21_0)))
| ~ member(esk19_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( member(X1,X3)
| member(X1,difference(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X56,X57,X58,X59,X61,X62,X63,X64,X65,X68] :
( ( ~ member(X58,X56)
| subset(X58,X57)
| ~ partition(X56,X57) )
& ( member(esk5_3(X56,X57,X59),X56)
| ~ member(X59,X57)
| ~ partition(X56,X57) )
& ( member(X59,esk5_3(X56,X57,X59))
| ~ member(X59,X57)
| ~ partition(X56,X57) )
& ( ~ member(X61,X56)
| ~ member(X62,X56)
| ~ member(X63,X61)
| ~ member(X63,X62)
| X61 = X62
| ~ partition(X56,X57) )
& ( member(esk8_2(X64,X65),X64)
| member(esk7_2(X64,X65),X65)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( member(esk9_2(X64,X65),X64)
| member(esk7_2(X64,X65),X65)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( member(esk10_2(X64,X65),esk8_2(X64,X65))
| member(esk7_2(X64,X65),X65)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( member(esk10_2(X64,X65),esk9_2(X64,X65))
| member(esk7_2(X64,X65),X65)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( esk8_2(X64,X65) != esk9_2(X64,X65)
| member(esk7_2(X64,X65),X65)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( member(esk8_2(X64,X65),X64)
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( member(esk9_2(X64,X65),X64)
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( member(esk10_2(X64,X65),esk8_2(X64,X65))
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( member(esk10_2(X64,X65),esk9_2(X64,X65))
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( esk8_2(X64,X65) != esk9_2(X64,X65)
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| member(esk6_2(X64,X65),X64)
| partition(X64,X65) )
& ( member(esk8_2(X64,X65),X64)
| member(esk7_2(X64,X65),X65)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( member(esk9_2(X64,X65),X64)
| member(esk7_2(X64,X65),X65)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( member(esk10_2(X64,X65),esk8_2(X64,X65))
| member(esk7_2(X64,X65),X65)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( member(esk10_2(X64,X65),esk9_2(X64,X65))
| member(esk7_2(X64,X65),X65)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( esk8_2(X64,X65) != esk9_2(X64,X65)
| member(esk7_2(X64,X65),X65)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( member(esk8_2(X64,X65),X64)
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( member(esk9_2(X64,X65),X64)
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( member(esk10_2(X64,X65),esk8_2(X64,X65))
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( member(esk10_2(X64,X65),esk9_2(X64,X65))
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) )
& ( esk8_2(X64,X65) != esk9_2(X64,X65)
| ~ member(X68,X64)
| ~ member(esk7_2(X64,X65),X68)
| ~ subset(esk6_2(X64,X65),X65)
| partition(X64,X65) ) ),
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)],[partition])])])])])]) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( member(X1,singleton(esk21_0))
| ~ member(esk19_0,X1)
| ~ member(X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( member(X1,esk5_3(X2,X3,X1))
| ~ member(X1,X3)
| ~ partition(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
partition(esk22_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
member(esk19_0,difference(esk20_0,esk21_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
( X1 = esk21_0
| ~ member(esk19_0,X1)
| ~ member(X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( member(X1,esk5_3(esk22_0,esk20_0,X1))
| ~ member(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
member(esk19_0,esk20_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( member(esk5_3(X1,X2,X3),X1)
| ~ member(X3,X2)
| ~ partition(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( esk5_3(esk22_0,esk20_0,esk19_0) = esk21_0
| ~ member(esk5_3(esk22_0,esk20_0,esk19_0),esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
( member(esk5_3(esk22_0,esk20_0,X1),esk22_0)
| ~ member(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_23,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
esk5_3(esk22_0,esk20_0,esk19_0) = esk21_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19])]) ).
cnf(c_0_25,negated_conjecture,
~ member(esk19_0,esk21_0),
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_24]),c_0_19])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n024.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 : Tue Jun 28 00:34:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.91/2.36 # ENIGMATIC: Solved by autoschedule:
% 7.91/2.36 # No SInE strategy applied
% 7.91/2.36 # Trying AutoSched0 for 150 seconds
% 7.91/2.36 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S045I
% 7.91/2.36 # and selection function PSelectMaxLComplexNoXTypePred.
% 7.91/2.36 #
% 7.91/2.36 # Preprocessing time : 0.031 s
% 7.91/2.36 # Presaturation interreduction done
% 7.91/2.36
% 7.91/2.36 # Proof found!
% 7.91/2.36 # SZS status Theorem
% 7.91/2.36 # SZS output start CNFRefutation
% See solution above
% 7.91/2.36 # Training examples: 0 positive, 0 negative
% 7.91/2.36
% 7.91/2.36 # -------------------------------------------------
% 7.91/2.36 # User time : 0.042 s
% 7.91/2.36 # System time : 0.010 s
% 7.91/2.36 # Total time : 0.052 s
% 7.91/2.36 # Maximum resident set size: 7124 pages
% 7.91/2.36
%------------------------------------------------------------------------------