TSTP Solution File: KRS235+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS235+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Fri Jun 15 07:54:25 EDT 2012
% Result : Theorem 1.00s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 8 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 219 ( 83 ~; 82 |; 45 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 115 ( 0 sgn 76 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X7,X8] :
( ! [X2,X3] :
( status(X2,X3,X7)
=> ~ status(X2,X3,X8) )
<=> nevera(X7,X8) ),
file('/tmp/tmpOgpokq/sel_KRS235+1.p_1',nevera) ).
fof(5,axiom,
! [X2,X3] :
( ( ? [X1] :
( model(X1,X2)
& model(X1,X3) )
& ? [X4] :
( model(X4,X2)
& model(X4,not(X3)) ) )
<=> status(X2,X3,noc) ),
file('/tmp/tmpOgpokq/sel_KRS235+1.p_1',noc) ).
fof(6,axiom,
! [X2,X3] :
( ! [X1] :
( model(X1,X2)
=> model(X1,X3) )
<=> status(X2,X3,thm) ),
file('/tmp/tmpOgpokq/sel_KRS235+1.p_1',thm) ).
fof(8,axiom,
! [X6,X5] :
( model(X6,X5)
<=> ~ model(X6,not(X5)) ),
file('/tmp/tmpOgpokq/sel_KRS235+1.p_1',not) ).
fof(12,conjecture,
nevera(noc,thm),
file('/tmp/tmpOgpokq/sel_KRS235+1.p_1',nevera_noc_thm) ).
fof(13,negated_conjecture,
~ nevera(noc,thm),
inference(assume_negation,[status(cth)],[12]) ).
fof(15,plain,
! [X7,X8] :
( ! [X2,X3] :
( status(X2,X3,X7)
=> ~ status(X2,X3,X8) )
<=> nevera(X7,X8) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(18,plain,
! [X6,X5] :
( model(X6,X5)
<=> ~ model(X6,not(X5)) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(22,negated_conjecture,
~ nevera(noc,thm),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(31,plain,
! [X7,X8] :
( ( ? [X2,X3] :
( status(X2,X3,X7)
& status(X2,X3,X8) )
| nevera(X7,X8) )
& ( ~ nevera(X7,X8)
| ! [X2,X3] :
( ~ status(X2,X3,X7)
| ~ status(X2,X3,X8) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(32,plain,
! [X9,X10] :
( ( ? [X11,X12] :
( status(X11,X12,X9)
& status(X11,X12,X10) )
| nevera(X9,X10) )
& ( ~ nevera(X9,X10)
| ! [X13,X14] :
( ~ status(X13,X14,X9)
| ~ status(X13,X14,X10) ) ) ),
inference(variable_rename,[status(thm)],[31]) ).
fof(33,plain,
! [X9,X10] :
( ( ( status(esk6_2(X9,X10),esk7_2(X9,X10),X9)
& status(esk6_2(X9,X10),esk7_2(X9,X10),X10) )
| nevera(X9,X10) )
& ( ~ nevera(X9,X10)
| ! [X13,X14] :
( ~ status(X13,X14,X9)
| ~ status(X13,X14,X10) ) ) ),
inference(skolemize,[status(esa)],[32]) ).
fof(34,plain,
! [X9,X10,X13,X14] :
( ( ~ status(X13,X14,X9)
| ~ status(X13,X14,X10)
| ~ nevera(X9,X10) )
& ( ( status(esk6_2(X9,X10),esk7_2(X9,X10),X9)
& status(esk6_2(X9,X10),esk7_2(X9,X10),X10) )
| nevera(X9,X10) ) ),
inference(shift_quantors,[status(thm)],[33]) ).
fof(35,plain,
! [X9,X10,X13,X14] :
( ( ~ status(X13,X14,X9)
| ~ status(X13,X14,X10)
| ~ nevera(X9,X10) )
& ( status(esk6_2(X9,X10),esk7_2(X9,X10),X9)
| nevera(X9,X10) )
& ( status(esk6_2(X9,X10),esk7_2(X9,X10),X10)
| nevera(X9,X10) ) ),
inference(distribute,[status(thm)],[34]) ).
cnf(36,plain,
( nevera(X1,X2)
| status(esk6_2(X1,X2),esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,plain,
( nevera(X1,X2)
| status(esk6_2(X1,X2),esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(38,plain,
( ~ nevera(X1,X2)
| ~ status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(42,plain,
! [X2,X3] :
( ( ! [X1] :
( ~ model(X1,X2)
| ~ model(X1,X3) )
| ! [X4] :
( ~ model(X4,X2)
| ~ model(X4,not(X3)) )
| status(X2,X3,noc) )
& ( ~ status(X2,X3,noc)
| ( ? [X1] :
( model(X1,X2)
& model(X1,X3) )
& ? [X4] :
( model(X4,X2)
& model(X4,not(X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(43,plain,
! [X5,X6] :
( ( ! [X7] :
( ~ model(X7,X5)
| ~ model(X7,X6) )
| ! [X8] :
( ~ model(X8,X5)
| ~ model(X8,not(X6)) )
| status(X5,X6,noc) )
& ( ~ status(X5,X6,noc)
| ( ? [X9] :
( model(X9,X5)
& model(X9,X6) )
& ? [X10] :
( model(X10,X5)
& model(X10,not(X6)) ) ) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X5,X6] :
( ( ! [X7] :
( ~ model(X7,X5)
| ~ model(X7,X6) )
| ! [X8] :
( ~ model(X8,X5)
| ~ model(X8,not(X6)) )
| status(X5,X6,noc) )
& ( ~ status(X5,X6,noc)
| ( model(esk9_2(X5,X6),X5)
& model(esk9_2(X5,X6),X6)
& model(esk10_2(X5,X6),X5)
& model(esk10_2(X5,X6),not(X6)) ) ) ),
inference(skolemize,[status(esa)],[43]) ).
fof(45,plain,
! [X5,X6,X7,X8] :
( ( ~ model(X8,X5)
| ~ model(X8,not(X6))
| ~ model(X7,X5)
| ~ model(X7,X6)
| status(X5,X6,noc) )
& ( ~ status(X5,X6,noc)
| ( model(esk9_2(X5,X6),X5)
& model(esk9_2(X5,X6),X6)
& model(esk10_2(X5,X6),X5)
& model(esk10_2(X5,X6),not(X6)) ) ) ),
inference(shift_quantors,[status(thm)],[44]) ).
fof(46,plain,
! [X5,X6,X7,X8] :
( ( ~ model(X8,X5)
| ~ model(X8,not(X6))
| ~ model(X7,X5)
| ~ model(X7,X6)
| status(X5,X6,noc) )
& ( model(esk9_2(X5,X6),X5)
| ~ status(X5,X6,noc) )
& ( model(esk9_2(X5,X6),X6)
| ~ status(X5,X6,noc) )
& ( model(esk10_2(X5,X6),X5)
| ~ status(X5,X6,noc) )
& ( model(esk10_2(X5,X6),not(X6))
| ~ status(X5,X6,noc) ) ),
inference(distribute,[status(thm)],[45]) ).
cnf(47,plain,
( model(esk10_2(X1,X2),not(X2))
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(48,plain,
( model(esk10_2(X1,X2),X1)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(52,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)],[6]) ).
fof(53,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)],[52]) ).
fof(54,plain,
! [X4,X5] :
( ( ( model(esk11_2(X4,X5),X4)
& ~ model(esk11_2(X4,X5),X5) )
| status(X4,X5,thm) )
& ( ~ status(X4,X5,thm)
| ! [X7] :
( ~ model(X7,X4)
| model(X7,X5) ) ) ),
inference(skolemize,[status(esa)],[53]) ).
fof(55,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( ( model(esk11_2(X4,X5),X4)
& ~ model(esk11_2(X4,X5),X5) )
| status(X4,X5,thm) ) ),
inference(shift_quantors,[status(thm)],[54]) ).
fof(56,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( model(esk11_2(X4,X5),X4)
| status(X4,X5,thm) )
& ( ~ model(esk11_2(X4,X5),X5)
| status(X4,X5,thm) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(59,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(65,plain,
! [X6,X5] :
( ( ~ model(X6,X5)
| ~ model(X6,not(X5)) )
& ( model(X6,not(X5))
| model(X6,X5) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(66,plain,
! [X7,X8] :
( ( ~ model(X7,X8)
| ~ model(X7,not(X8)) )
& ( model(X7,not(X8))
| model(X7,X8) ) ),
inference(variable_rename,[status(thm)],[65]) ).
cnf(68,plain,
( ~ model(X1,not(X2))
| ~ model(X1,X2) ),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(86,negated_conjecture,
~ nevera(noc,thm),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(98,plain,
( model(esk10_2(esk6_2(X1,noc),esk7_2(X1,noc)),esk6_2(X1,noc))
| nevera(X1,noc) ),
inference(spm,[status(thm)],[48,36,theory(equality)]) ).
cnf(99,plain,
( model(esk10_2(esk6_2(X1,noc),esk7_2(X1,noc)),not(esk7_2(X1,noc)))
| nevera(X1,noc) ),
inference(spm,[status(thm)],[47,36,theory(equality)]) ).
cnf(100,plain,
( nevera(X2,X3)
| ~ nevera(X1,X2)
| ~ status(esk6_2(X2,X3),esk7_2(X2,X3),X1) ),
inference(spm,[status(thm)],[38,37,theory(equality)]) ).
cnf(106,plain,
( model(X1,esk7_2(thm,X2))
| nevera(thm,X2)
| ~ model(X1,esk6_2(thm,X2)) ),
inference(spm,[status(thm)],[59,37,theory(equality)]) ).
cnf(120,plain,
( nevera(X1,X2)
| ~ nevera(X2,X1) ),
inference(spm,[status(thm)],[100,36,theory(equality)]) ).
cnf(501,plain,
( nevera(thm,noc)
| model(esk10_2(esk6_2(thm,noc),esk7_2(thm,noc)),esk7_2(thm,noc)) ),
inference(spm,[status(thm)],[106,98,theory(equality)]) ).
cnf(683,plain,
( nevera(X1,noc)
| ~ model(esk10_2(esk6_2(X1,noc),esk7_2(X1,noc)),esk7_2(X1,noc)) ),
inference(spm,[status(thm)],[68,99,theory(equality)]) ).
cnf(21396,plain,
nevera(thm,noc),
inference(spm,[status(thm)],[683,501,theory(equality)]) ).
cnf(21399,plain,
nevera(noc,thm),
inference(spm,[status(thm)],[120,21396,theory(equality)]) ).
cnf(21455,plain,
$false,
inference(sr,[status(thm)],[21399,86,theory(equality)]) ).
cnf(21456,plain,
$false,
21455,
[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/KRS235+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpOgpokq/sel_KRS235+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/tmpOgpokq/sel_KRS235+1.p_1']
% -prover status Theorem
% Problem KRS235+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS235+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS235+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
%
%------------------------------------------------------------------------------