TSTP Solution File: KRS188+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS188+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : newtonia.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 07:48:09 EDT 2012
% Result : Theorem 0.08s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 215 ( 76 ~; 80 |; 51 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 73 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) ) )
<=> status(X1,X2,wec) ),
file('/tmp/tmpjmvbrw/sel_KRS188+1.p_1',wec) ).
fof(5,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/tmp/tmpjmvbrw/sel_KRS188+1.p_1',thm) ).
fof(7,axiom,
! [X8,X9] :
( ! [X1,X2] :
( status(X1,X2,X8)
=> status(X1,X2,X9) )
<=> isa(X8,X9) ),
file('/tmp/tmpjmvbrw/sel_KRS188+1.p_1',isa) ).
fof(10,conjecture,
isa(wec,thm),
file('/tmp/tmpjmvbrw/sel_KRS188+1.p_1',isa_wec_thm) ).
fof(11,negated_conjecture,
~ isa(wec,thm),
inference(assume_negation,[status(cth)],[10]) ).
fof(12,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) ) )
<=> status(X1,X2,wec) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(18,negated_conjecture,
~ isa(wec,thm),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(19,plain,
! [X1,X2] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X4] :
( model(X4,X1)
& ~ model(X4,X2) )
| ! [X5] :
( ~ model(X5,X2)
| model(X5,X1) )
| status(X1,X2,wec) )
& ( ~ status(X1,X2,wec)
| ( ? [X3] : model(X3,X1)
& ! [X4] :
( ~ model(X4,X1)
| model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(20,plain,
! [X6,X7] :
( ( ! [X8] : ~ model(X8,X6)
| ? [X9] :
( model(X9,X6)
& ~ model(X9,X7) )
| ! [X10] :
( ~ model(X10,X7)
| model(X10,X6) )
| status(X6,X7,wec) )
& ( ~ status(X6,X7,wec)
| ( ? [X11] : model(X11,X6)
& ! [X12] :
( ~ model(X12,X6)
| model(X12,X7) )
& ? [X13] :
( model(X13,X7)
& ~ model(X13,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,plain,
! [X6,X7] :
( ( ! [X8] : ~ model(X8,X6)
| ( model(esk1_2(X6,X7),X6)
& ~ model(esk1_2(X6,X7),X7) )
| ! [X10] :
( ~ model(X10,X7)
| model(X10,X6) )
| status(X6,X7,wec) )
& ( ~ status(X6,X7,wec)
| ( model(esk2_2(X6,X7),X6)
& ! [X12] :
( ~ model(X12,X6)
| model(X12,X7) )
& model(esk3_2(X6,X7),X7)
& ~ model(esk3_2(X6,X7),X6) ) ) ),
inference(skolemize,[status(esa)],[20]) ).
fof(22,plain,
! [X6,X7,X8,X10,X12] :
( ( ( ( ~ model(X12,X6)
| model(X12,X7) )
& model(esk2_2(X6,X7),X6)
& model(esk3_2(X6,X7),X7)
& ~ model(esk3_2(X6,X7),X6) )
| ~ status(X6,X7,wec) )
& ( ~ model(X10,X7)
| model(X10,X6)
| ~ model(X8,X6)
| ( model(esk1_2(X6,X7),X6)
& ~ model(esk1_2(X6,X7),X7) )
| status(X6,X7,wec) ) ),
inference(shift_quantors,[status(thm)],[21]) ).
fof(23,plain,
! [X6,X7,X8,X10,X12] :
( ( ~ model(X12,X6)
| model(X12,X7)
| ~ status(X6,X7,wec) )
& ( model(esk2_2(X6,X7),X6)
| ~ status(X6,X7,wec) )
& ( model(esk3_2(X6,X7),X7)
| ~ status(X6,X7,wec) )
& ( ~ model(esk3_2(X6,X7),X6)
| ~ status(X6,X7,wec) )
& ( model(esk1_2(X6,X7),X6)
| ~ model(X8,X6)
| ~ model(X10,X7)
| model(X10,X6)
| status(X6,X7,wec) )
& ( ~ model(esk1_2(X6,X7),X7)
| ~ model(X8,X6)
| ~ model(X10,X7)
| model(X10,X6)
| status(X6,X7,wec) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(29,plain,
( model(X3,X2)
| ~ status(X1,X2,wec)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(41,plain,
! [X1,X2] :
( ( ? [X3] :
( model(X3,X1)
& ~ model(X3,X2) )
| status(X1,X2,thm) )
& ( ~ status(X1,X2,thm)
| ! [X3] :
( ~ model(X3,X1)
| model(X3,X2) ) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(42,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)],[41]) ).
fof(43,plain,
! [X4,X5] :
( ( ( model(esk10_2(X4,X5),X4)
& ~ model(esk10_2(X4,X5),X5) )
| status(X4,X5,thm) )
& ( ~ status(X4,X5,thm)
| ! [X7] :
( ~ model(X7,X4)
| model(X7,X5) ) ) ),
inference(skolemize,[status(esa)],[42]) ).
fof(44,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( ( model(esk10_2(X4,X5),X4)
& ~ model(esk10_2(X4,X5),X5) )
| status(X4,X5,thm) ) ),
inference(shift_quantors,[status(thm)],[43]) ).
fof(45,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( model(esk10_2(X4,X5),X4)
| status(X4,X5,thm) )
& ( ~ model(esk10_2(X4,X5),X5)
| status(X4,X5,thm) ) ),
inference(distribute,[status(thm)],[44]) ).
cnf(46,plain,
( status(X1,X2,thm)
| ~ model(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(47,plain,
( status(X1,X2,thm)
| model(esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(54,plain,
! [X8,X9] :
( ( ? [X1,X2] :
( status(X1,X2,X8)
& ~ status(X1,X2,X9) )
| isa(X8,X9) )
& ( ~ isa(X8,X9)
| ! [X1,X2] :
( ~ status(X1,X2,X8)
| status(X1,X2,X9) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(55,plain,
! [X10,X11] :
( ( ? [X12,X13] :
( status(X12,X13,X10)
& ~ status(X12,X13,X11) )
| isa(X10,X11) )
& ( ~ isa(X10,X11)
| ! [X14,X15] :
( ~ status(X14,X15,X10)
| status(X14,X15,X11) ) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,plain,
! [X10,X11] :
( ( ( status(esk15_2(X10,X11),esk16_2(X10,X11),X10)
& ~ status(esk15_2(X10,X11),esk16_2(X10,X11),X11) )
| isa(X10,X11) )
& ( ~ isa(X10,X11)
| ! [X14,X15] :
( ~ status(X14,X15,X10)
| status(X14,X15,X11) ) ) ),
inference(skolemize,[status(esa)],[55]) ).
fof(57,plain,
! [X10,X11,X14,X15] :
( ( ~ status(X14,X15,X10)
| status(X14,X15,X11)
| ~ isa(X10,X11) )
& ( ( status(esk15_2(X10,X11),esk16_2(X10,X11),X10)
& ~ status(esk15_2(X10,X11),esk16_2(X10,X11),X11) )
| isa(X10,X11) ) ),
inference(shift_quantors,[status(thm)],[56]) ).
fof(58,plain,
! [X10,X11,X14,X15] :
( ( ~ status(X14,X15,X10)
| status(X14,X15,X11)
| ~ isa(X10,X11) )
& ( status(esk15_2(X10,X11),esk16_2(X10,X11),X10)
| isa(X10,X11) )
& ( ~ status(esk15_2(X10,X11),esk16_2(X10,X11),X11)
| isa(X10,X11) ) ),
inference(distribute,[status(thm)],[57]) ).
cnf(59,plain,
( isa(X1,X2)
| ~ status(esk15_2(X1,X2),esk16_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(60,plain,
( isa(X1,X2)
| status(esk15_2(X1,X2),esk16_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(75,negated_conjecture,
~ isa(wec,thm),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(87,plain,
( model(X1,esk16_2(wec,X2))
| isa(wec,X2)
| ~ model(X1,esk15_2(wec,X2)) ),
inference(spm,[status(thm)],[29,60,theory(equality)]) ).
cnf(128,plain,
( status(X1,esk16_2(wec,X2),thm)
| isa(wec,X2)
| ~ model(esk10_2(X1,esk16_2(wec,X2)),esk15_2(wec,X2)) ),
inference(spm,[status(thm)],[46,87,theory(equality)]) ).
cnf(738,plain,
( isa(wec,X1)
| status(esk15_2(wec,X1),esk16_2(wec,X1),thm) ),
inference(spm,[status(thm)],[128,47,theory(equality)]) ).
cnf(746,plain,
isa(wec,thm),
inference(spm,[status(thm)],[59,738,theory(equality)]) ).
cnf(747,plain,
$false,
inference(sr,[status(thm)],[746,75,theory(equality)]) ).
cnf(748,plain,
$false,
747,
[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/KRS188+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpjmvbrw/sel_KRS188+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/tmpjmvbrw/sel_KRS188+1.p_1']
% -prover status Theorem
% Problem KRS188+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS188+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS188+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
%
%------------------------------------------------------------------------------