%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS258+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2800MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Fri Jun 15 07:57:31 EDT 2012
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 169 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 207 ( 77 ~; 83 |; 42 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 99 ( 4 sgn 66 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
? [X5] :
! [X6] : model(X6,X5),
file('/tmp/tmpv_Vpq9/sel_KRS258+1.p_1',tautology) ).
fof(3,axiom,
! [X7,X8] :
( ? [X2,X3] :
( status(X2,X3,X7)
& status(X2,X3,X8) )
<=> mighta(X7,X8) ),
file('/tmp/tmpv_Vpq9/sel_KRS258+1.p_1',mighta) ).
fof(5,axiom,
! [X2,X3] :
( ( ? [X1] : model(X1,X2)
& ! [X4] :
( model(X4,X2)
<=> model(X4,X3) ) )
<=> status(X2,X3,eqv) ),
file('/tmp/tmpv_Vpq9/sel_KRS258+1.p_1',eqv) ).
fof(6,axiom,
! [X2,X3] :
( ! [X1] :
( model(X1,X2)
=> model(X1,X3) )
<=> status(X2,X3,thm) ),
file('/tmp/tmpv_Vpq9/sel_KRS258+1.p_1',thm) ).
fof(10,conjecture,
mighta(eqv,thm),
file('/tmp/tmpv_Vpq9/sel_KRS258+1.p_1',mighta_eqv_thm) ).
fof(11,negated_conjecture,
~ mighta(eqv,thm),
inference(assume_negation,[status(cth)],[10]) ).
fof(17,negated_conjecture,
~ mighta(eqv,thm),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(23,plain,
? [X7] :
! [X8] : model(X8,X7),
inference(variable_rename,[status(thm)],[2]) ).
fof(24,plain,
! [X8] : model(X8,esk5_0),
inference(skolemize,[status(esa)],[23]) ).
cnf(25,plain,
model(X1,esk5_0),
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X7,X8] :
( ( ! [X2,X3] :
( ~ status(X2,X3,X7)
| ~ status(X2,X3,X8) )
| mighta(X7,X8) )
& ( ~ mighta(X7,X8)
| ? [X2,X3] :
( status(X2,X3,X7)
& status(X2,X3,X8) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(27,plain,
! [X9,X10] :
( ( ! [X11,X12] :
( ~ status(X11,X12,X9)
| ~ status(X11,X12,X10) )
| mighta(X9,X10) )
& ( ~ mighta(X9,X10)
| ? [X13,X14] :
( status(X13,X14,X9)
& status(X13,X14,X10) ) ) ),
inference(variable_rename,[status(thm)],[26]) ).
fof(28,plain,
! [X9,X10] :
( ( ! [X11,X12] :
( ~ status(X11,X12,X9)
| ~ status(X11,X12,X10) )
| mighta(X9,X10) )
& ( ~ mighta(X9,X10)
| ( status(esk6_2(X9,X10),esk7_2(X9,X10),X9)
& status(esk6_2(X9,X10),esk7_2(X9,X10),X10) ) ) ),
inference(skolemize,[status(esa)],[27]) ).
fof(29,plain,
! [X9,X10,X11,X12] :
( ( ~ status(X11,X12,X9)
| ~ status(X11,X12,X10)
| mighta(X9,X10) )
& ( ~ mighta(X9,X10)
| ( status(esk6_2(X9,X10),esk7_2(X9,X10),X9)
& status(esk6_2(X9,X10),esk7_2(X9,X10),X10) ) ) ),
inference(shift_quantors,[status(thm)],[28]) ).
fof(30,plain,
! [X9,X10,X11,X12] :
( ( ~ status(X11,X12,X9)
| ~ status(X11,X12,X10)
| mighta(X9,X10) )
& ( status(esk6_2(X9,X10),esk7_2(X9,X10),X9)
| ~ mighta(X9,X10) )
& ( status(esk6_2(X9,X10),esk7_2(X9,X10),X10)
| ~ mighta(X9,X10) ) ),
inference(distribute,[status(thm)],[29]) ).
cnf(33,plain,
( mighta(X1,X2)
| ~ status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[30]) ).
fof(37,plain,
! [X2,X3] :
( ( ! [X1] : ~ model(X1,X2)
| ? [X4] :
( ( ~ model(X4,X2)
| ~ model(X4,X3) )
& ( model(X4,X2)
| model(X4,X3) ) )
| status(X2,X3,eqv) )
& ( ~ status(X2,X3,eqv)
| ( ? [X1] : model(X1,X2)
& ! [X4] :
( ( ~ model(X4,X2)
| model(X4,X3) )
& ( ~ model(X4,X3)
| model(X4,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(38,plain,
! [X5,X6] :
( ( ! [X7] : ~ model(X7,X5)
| ? [X8] :
( ( ~ model(X8,X5)
| ~ model(X8,X6) )
& ( model(X8,X5)
| model(X8,X6) ) )
| status(X5,X6,eqv) )
& ( ~ status(X5,X6,eqv)
| ( ? [X9] : model(X9,X5)
& ! [X10] :
( ( ~ model(X10,X5)
| model(X10,X6) )
& ( ~ model(X10,X6)
| model(X10,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[37]) ).
fof(39,plain,
! [X5,X6] :
( ( ! [X7] : ~ model(X7,X5)
| ( ( ~ model(esk9_2(X5,X6),X5)
| ~ model(esk9_2(X5,X6),X6) )
& ( model(esk9_2(X5,X6),X5)
| model(esk9_2(X5,X6),X6) ) )
| status(X5,X6,eqv) )
& ( ~ status(X5,X6,eqv)
| ( model(esk10_2(X5,X6),X5)
& ! [X10] :
( ( ~ model(X10,X5)
| model(X10,X6) )
& ( ~ model(X10,X6)
| model(X10,X5) ) ) ) ) ),
inference(skolemize,[status(esa)],[38]) ).
fof(40,plain,
! [X5,X6,X7,X10] :
( ( ( ( ~ model(X10,X5)
| model(X10,X6) )
& ( ~ model(X10,X6)
| model(X10,X5) )
& model(esk10_2(X5,X6),X5) )
| ~ status(X5,X6,eqv) )
& ( ~ model(X7,X5)
| ( ( ~ model(esk9_2(X5,X6),X5)
| ~ model(esk9_2(X5,X6),X6) )
& ( model(esk9_2(X5,X6),X5)
| model(esk9_2(X5,X6),X6) ) )
| status(X5,X6,eqv) ) ),
inference(shift_quantors,[status(thm)],[39]) ).
fof(41,plain,
! [X5,X6,X7,X10] :
( ( ~ model(X10,X5)
| model(X10,X6)
| ~ status(X5,X6,eqv) )
& ( ~ model(X10,X6)
| model(X10,X5)
| ~ status(X5,X6,eqv) )
& ( model(esk10_2(X5,X6),X5)
| ~ status(X5,X6,eqv) )
& ( ~ model(esk9_2(X5,X6),X5)
| ~ model(esk9_2(X5,X6),X6)
| ~ model(X7,X5)
| status(X5,X6,eqv) )
& ( model(esk9_2(X5,X6),X5)
| model(esk9_2(X5,X6),X6)
| ~ model(X7,X5)
| status(X5,X6,eqv) ) ),
inference(distribute,[status(thm)],[40]) ).
cnf(43,plain,
( status(X1,X2,eqv)
| ~ model(X3,X1)
| ~ model(esk9_2(X1,X2),X2)
| ~ model(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(47,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(48,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)],[47]) ).
fof(49,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)],[48]) ).
fof(50,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)],[49]) ).
fof(51,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)],[50]) ).
cnf(52,plain,
( status(X1,X2,thm)
| ~ model(esk11_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,plain,
( status(X1,X2,thm)
| model(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(73,negated_conjecture,
~ mighta(eqv,thm),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(77,plain,
status(X1,X1,thm),
inference(spm,[status(thm)],[52,53,theory(equality)]) ).
cnf(100,plain,
( status(X1,esk5_0,eqv)
| ~ model(esk9_2(X1,esk5_0),X1)
| ~ model(X2,X1) ),
inference(spm,[status(thm)],[43,25,theory(equality)]) ).
cnf(110,plain,
( mighta(X1,thm)
| ~ status(X2,X2,X1) ),
inference(spm,[status(thm)],[33,77,theory(equality)]) ).
cnf(133,plain,
( status(esk5_0,esk5_0,eqv)
| ~ model(X1,esk5_0) ),
inference(spm,[status(thm)],[100,25,theory(equality)]) ).
cnf(136,plain,
( status(esk5_0,esk5_0,eqv)
| $false ),
inference(rw,[status(thm)],[133,25,theory(equality)]) ).
cnf(137,plain,
status(esk5_0,esk5_0,eqv),
inference(cn,[status(thm)],[136,theory(equality)]) ).
cnf(147,plain,
mighta(eqv,thm),
inference(spm,[status(thm)],[110,137,theory(equality)]) ).
cnf(155,plain,
$false,
inference(sr,[status(thm)],[147,73,theory(equality)]) ).
cnf(156,plain,
$false,
155,
[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/KRS258+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpv_Vpq9/sel_KRS258+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/tmpv_Vpq9/sel_KRS258+1.p_1']
% -prover status Theorem
% Problem KRS258+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS258+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS258+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
%
%------------------------------------------------------------------------------