TSTP Solution File: KRS192+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS192+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : richmond.cs.miami.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Core(TM)2 CPU 6600 @ 2.40GHz @ 2400MHz
% Memory : 1003MB
% OS : Linux 2.6.32.26-175.fc12.x86_64
% CPULimit : 300s
% DateTime : Fri Jun 15 07:48:25 EDT 2012
% Result : Theorem 0.11s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 237 ( 84 ~; 87 |; 58 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 78 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X2,X3] :
( ! [X1] :
( model(X1,X2)
=> model(X1,X3) )
<=> status(X2,X3,thm) ),
file('/tmp/tmpk7Ygf3/sel_KRS192+1.p_1',thm) ).
fof(6,axiom,
! [X2,X3] :
( ( ? [X1] : model(X1,X2)
& ! [X4] :
( model(X4,X2)
=> model(X4,X3) )
& ? [X7] :
( model(X7,X3)
& ~ model(X7,X2) )
& ? [X8] : ~ model(X8,X3) )
<=> status(X2,X3,wth) ),
file('/tmp/tmpk7Ygf3/sel_KRS192+1.p_1',wth) ).
fof(7,axiom,
! [X9,X10] :
( ! [X2,X3] :
( status(X2,X3,X9)
=> status(X2,X3,X10) )
<=> isa(X9,X10) ),
file('/tmp/tmpk7Ygf3/sel_KRS192+1.p_1',isa) ).
fof(10,conjecture,
isa(wth,thm),
file('/tmp/tmpk7Ygf3/sel_KRS192+1.p_1',isa_wth_thm) ).
fof(11,negated_conjecture,
~ isa(wth,thm),
inference(assume_negation,[status(cth)],[10]) ).
fof(15,plain,
! [X2,X3] :
( ( ? [X1] : model(X1,X2)
& ! [X4] :
( model(X4,X2)
=> model(X4,X3) )
& ? [X7] :
( model(X7,X3)
& ~ model(X7,X2) )
& ? [X8] : ~ model(X8,X3) )
<=> status(X2,X3,wth) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(18,negated_conjecture,
~ isa(wth,thm),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(30,plain,
! [X2,X3] :
( ( ? [X1] :
( model(X1,X2)
& ~ model(X1,X3) )
| status(X2,X3,thm) )
& ( ~ status(X2,X3,thm)
| ! [X1] :
( ~ model(X1,X2)
| model(X1,X3) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(31,plain,
! [X4,X5] :
( ( ? [X6] :
( model(X6,X4)
& ~ model(X6,X5) )
| status(X4,X5,thm) )
& ( ~ status(X4,X5,thm)
| ! [X7] :
( ~ model(X7,X4)
| model(X7,X5) ) ) ),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,plain,
! [X4,X5] :
( ( ( model(esk7_2(X4,X5),X4)
& ~ model(esk7_2(X4,X5),X5) )
| status(X4,X5,thm) )
& ( ~ status(X4,X5,thm)
| ! [X7] :
( ~ model(X7,X4)
| model(X7,X5) ) ) ),
inference(skolemize,[status(esa)],[31]) ).
fof(33,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( ( model(esk7_2(X4,X5),X4)
& ~ model(esk7_2(X4,X5),X5) )
| status(X4,X5,thm) ) ),
inference(shift_quantors,[status(thm)],[32]) ).
fof(34,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( model(esk7_2(X4,X5),X4)
| status(X4,X5,thm) )
& ( ~ model(esk7_2(X4,X5),X5)
| status(X4,X5,thm) ) ),
inference(distribute,[status(thm)],[33]) ).
cnf(35,plain,
( status(X1,X2,thm)
| ~ model(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(36,plain,
( status(X1,X2,thm)
| model(esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(43,plain,
! [X2,X3] :
( ( ! [X1] : ~ model(X1,X2)
| ? [X4] :
( model(X4,X2)
& ~ model(X4,X3) )
| ! [X7] :
( ~ model(X7,X3)
| model(X7,X2) )
| ! [X8] : model(X8,X3)
| status(X2,X3,wth) )
& ( ~ status(X2,X3,wth)
| ( ? [X1] : model(X1,X2)
& ! [X4] :
( ~ model(X4,X2)
| model(X4,X3) )
& ? [X7] :
( model(X7,X3)
& ~ model(X7,X2) )
& ? [X8] : ~ model(X8,X3) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(44,plain,
! [X9,X10] :
( ( ! [X11] : ~ model(X11,X9)
| ? [X12] :
( model(X12,X9)
& ~ model(X12,X10) )
| ! [X13] :
( ~ model(X13,X10)
| model(X13,X9) )
| ! [X14] : model(X14,X10)
| status(X9,X10,wth) )
& ( ~ status(X9,X10,wth)
| ( ? [X15] : model(X15,X9)
& ! [X16] :
( ~ model(X16,X9)
| model(X16,X10) )
& ? [X17] :
( model(X17,X10)
& ~ model(X17,X9) )
& ? [X18] : ~ model(X18,X10) ) ) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,plain,
! [X9,X10] :
( ( ! [X11] : ~ model(X11,X9)
| ( model(esk12_2(X9,X10),X9)
& ~ model(esk12_2(X9,X10),X10) )
| ! [X13] :
( ~ model(X13,X10)
| model(X13,X9) )
| ! [X14] : model(X14,X10)
| status(X9,X10,wth) )
& ( ~ status(X9,X10,wth)
| ( model(esk13_2(X9,X10),X9)
& ! [X16] :
( ~ model(X16,X9)
| model(X16,X10) )
& model(esk14_2(X9,X10),X10)
& ~ model(esk14_2(X9,X10),X9)
& ~ model(esk15_2(X9,X10),X10) ) ) ),
inference(skolemize,[status(esa)],[44]) ).
fof(46,plain,
! [X9,X10,X11,X13,X14,X16] :
( ( ( ( ~ model(X16,X9)
| model(X16,X10) )
& model(esk13_2(X9,X10),X9)
& model(esk14_2(X9,X10),X10)
& ~ model(esk14_2(X9,X10),X9)
& ~ model(esk15_2(X9,X10),X10) )
| ~ status(X9,X10,wth) )
& ( model(X14,X10)
| ~ model(X13,X10)
| model(X13,X9)
| ~ model(X11,X9)
| ( model(esk12_2(X9,X10),X9)
& ~ model(esk12_2(X9,X10),X10) )
| status(X9,X10,wth) ) ),
inference(shift_quantors,[status(thm)],[45]) ).
fof(47,plain,
! [X9,X10,X11,X13,X14,X16] :
( ( ~ model(X16,X9)
| model(X16,X10)
| ~ status(X9,X10,wth) )
& ( model(esk13_2(X9,X10),X9)
| ~ status(X9,X10,wth) )
& ( model(esk14_2(X9,X10),X10)
| ~ status(X9,X10,wth) )
& ( ~ model(esk14_2(X9,X10),X9)
| ~ status(X9,X10,wth) )
& ( ~ model(esk15_2(X9,X10),X10)
| ~ status(X9,X10,wth) )
& ( model(esk12_2(X9,X10),X9)
| ~ model(X11,X9)
| ~ model(X13,X10)
| model(X13,X9)
| model(X14,X10)
| status(X9,X10,wth) )
& ( ~ model(esk12_2(X9,X10),X10)
| ~ model(X11,X9)
| ~ model(X13,X10)
| model(X13,X9)
| model(X14,X10)
| status(X9,X10,wth) ) ),
inference(distribute,[status(thm)],[46]) ).
cnf(54,plain,
( model(X3,X2)
| ~ status(X1,X2,wth)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(55,plain,
! [X9,X10] :
( ( ? [X2,X3] :
( status(X2,X3,X9)
& ~ status(X2,X3,X10) )
| isa(X9,X10) )
& ( ~ isa(X9,X10)
| ! [X2,X3] :
( ~ status(X2,X3,X9)
| status(X2,X3,X10) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(56,plain,
! [X11,X12] :
( ( ? [X13,X14] :
( status(X13,X14,X11)
& ~ status(X13,X14,X12) )
| isa(X11,X12) )
& ( ~ isa(X11,X12)
| ! [X15,X16] :
( ~ status(X15,X16,X11)
| status(X15,X16,X12) ) ) ),
inference(variable_rename,[status(thm)],[55]) ).
fof(57,plain,
! [X11,X12] :
( ( ( status(esk16_2(X11,X12),esk17_2(X11,X12),X11)
& ~ status(esk16_2(X11,X12),esk17_2(X11,X12),X12) )
| isa(X11,X12) )
& ( ~ isa(X11,X12)
| ! [X15,X16] :
( ~ status(X15,X16,X11)
| status(X15,X16,X12) ) ) ),
inference(skolemize,[status(esa)],[56]) ).
fof(58,plain,
! [X11,X12,X15,X16] :
( ( ~ status(X15,X16,X11)
| status(X15,X16,X12)
| ~ isa(X11,X12) )
& ( ( status(esk16_2(X11,X12),esk17_2(X11,X12),X11)
& ~ status(esk16_2(X11,X12),esk17_2(X11,X12),X12) )
| isa(X11,X12) ) ),
inference(shift_quantors,[status(thm)],[57]) ).
fof(59,plain,
! [X11,X12,X15,X16] :
( ( ~ status(X15,X16,X11)
| status(X15,X16,X12)
| ~ isa(X11,X12) )
& ( status(esk16_2(X11,X12),esk17_2(X11,X12),X11)
| isa(X11,X12) )
& ( ~ status(esk16_2(X11,X12),esk17_2(X11,X12),X12)
| isa(X11,X12) ) ),
inference(distribute,[status(thm)],[58]) ).
cnf(60,plain,
( isa(X1,X2)
| ~ status(esk16_2(X1,X2),esk17_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(61,plain,
( isa(X1,X2)
| status(esk16_2(X1,X2),esk17_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(76,negated_conjecture,
~ isa(wth,thm),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(91,plain,
( model(X1,esk17_2(wth,X2))
| isa(wth,X2)
| ~ model(X1,esk16_2(wth,X2)) ),
inference(spm,[status(thm)],[54,61,theory(equality)]) ).
cnf(137,plain,
( status(X1,esk17_2(wth,X2),thm)
| isa(wth,X2)
| ~ model(esk7_2(X1,esk17_2(wth,X2)),esk16_2(wth,X2)) ),
inference(spm,[status(thm)],[35,91,theory(equality)]) ).
cnf(1615,plain,
( isa(wth,X1)
| status(esk16_2(wth,X1),esk17_2(wth,X1),thm) ),
inference(spm,[status(thm)],[137,36,theory(equality)]) ).
cnf(1618,plain,
isa(wth,thm),
inference(spm,[status(thm)],[60,1615,theory(equality)]) ).
cnf(1619,plain,
$false,
inference(sr,[status(thm)],[1618,76,theory(equality)]) ).
cnf(1620,plain,
$false,
1619,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS192+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpk7Ygf3/sel_KRS192+1.p_1 with time limit 29
% -running prover with command ['/davis/home/graph/tptp/Systems/SInE---0.4/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/tmp/tmpk7Ygf3/sel_KRS192+1.p_1']
% -prover status Theorem
% Problem KRS192+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS192+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS192+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------