%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS217+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 07:51:33 EDT 2012
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 53 ( 13 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 271 ( 101 ~; 90 |; 71 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 78 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( model(X1,X2)
<~> model(X1,not(X2)) ),
file('/tmp/tmpRM9Fnu/sel_KRS217+1.p_1',completeness) ).
fof(4,axiom,
! [X3,X4] :
( ( ? [X5] :
( model(X5,X3)
& model(X5,X4) )
& ? [X6] :
( model(X6,X3)
& model(X6,not(X4)) ) )
<=> status(X3,X4,noc) ),
file('/tmp/tmpRM9Fnu/sel_KRS217+1.p_1',noc) ).
fof(5,axiom,
! [X3,X4] :
( ! [X5] :
( model(X5,X3)
=> model(X5,X4) )
<=> status(X3,X4,thm) ),
file('/tmp/tmpRM9Fnu/sel_KRS217+1.p_1',thm) ).
fof(6,axiom,
! [X7,X8] :
( ? [X3,X4] :
( status(X3,X4,X7)
& ~ status(X3,X4,X8) )
<=> nota(X7,X8) ),
file('/tmp/tmpRM9Fnu/sel_KRS217+1.p_1',nota) ).
fof(11,axiom,
? [X3,X4] :
( ? [X5] : model(X5,X3)
& ! [X6] :
( model(X6,X3)
=> model(X6,X4) )
& ? [X9] :
( ~ model(X9,X3)
& model(X9,X4) )
& ? [X10] : ~ model(X10,X4) ),
file('/tmp/tmpRM9Fnu/sel_KRS217+1.p_1',mixed_pair) ).
fof(12,conjecture,
nota(noc,thm),
file('/tmp/tmpRM9Fnu/sel_KRS217+1.p_1',nota_noc_thm) ).
fof(13,negated_conjecture,
~ nota(noc,thm),
inference(assume_negation,[status(cth)],[12]) ).
fof(14,plain,
! [X1,X2] :
~ ( model(X1,X2)
<=> model(X1,not(X2)) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(16,plain,
! [X7,X8] :
( ? [X3,X4] :
( status(X3,X4,X7)
& ~ status(X3,X4,X8) )
<=> nota(X7,X8) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(21,plain,
? [X3,X4] :
( ? [X5] : model(X5,X3)
& ! [X6] :
( model(X6,X3)
=> model(X6,X4) )
& ? [X9] :
( ~ model(X9,X3)
& model(X9,X4) )
& ? [X10] : ~ model(X10,X4) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(22,negated_conjecture,
~ nota(noc,thm),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(23,plain,
! [X1,X2] :
( ( ~ model(X1,X2)
| ~ model(X1,not(X2)) )
& ( model(X1,X2)
| model(X1,not(X2)) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(24,plain,
! [X3,X4] :
( ( ~ model(X3,X4)
| ~ model(X3,not(X4)) )
& ( model(X3,X4)
| model(X3,not(X4)) ) ),
inference(variable_rename,[status(thm)],[23]) ).
cnf(25,plain,
( model(X1,not(X2))
| model(X1,X2) ),
inference(split_conjunct,[status(thm)],[24]) ).
fof(33,plain,
! [X3,X4] :
( ( ! [X5] :
( ~ model(X5,X3)
| ~ model(X5,X4) )
| ! [X6] :
( ~ model(X6,X3)
| ~ model(X6,not(X4)) )
| status(X3,X4,noc) )
& ( ~ status(X3,X4,noc)
| ( ? [X5] :
( model(X5,X3)
& model(X5,X4) )
& ? [X6] :
( model(X6,X3)
& model(X6,not(X4)) ) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(34,plain,
! [X7,X8] :
( ( ! [X9] :
( ~ model(X9,X7)
| ~ model(X9,X8) )
| ! [X10] :
( ~ model(X10,X7)
| ~ model(X10,not(X8)) )
| status(X7,X8,noc) )
& ( ~ status(X7,X8,noc)
| ( ? [X11] :
( model(X11,X7)
& model(X11,X8) )
& ? [X12] :
( model(X12,X7)
& model(X12,not(X8)) ) ) ) ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,plain,
! [X7,X8] :
( ( ! [X9] :
( ~ model(X9,X7)
| ~ model(X9,X8) )
| ! [X10] :
( ~ model(X10,X7)
| ~ model(X10,not(X8)) )
| status(X7,X8,noc) )
& ( ~ status(X7,X8,noc)
| ( model(esk3_2(X7,X8),X7)
& model(esk3_2(X7,X8),X8)
& model(esk4_2(X7,X8),X7)
& model(esk4_2(X7,X8),not(X8)) ) ) ),
inference(skolemize,[status(esa)],[34]) ).
fof(36,plain,
! [X7,X8,X9,X10] :
( ( ~ model(X10,X7)
| ~ model(X10,not(X8))
| ~ model(X9,X7)
| ~ model(X9,X8)
| status(X7,X8,noc) )
& ( ~ status(X7,X8,noc)
| ( model(esk3_2(X7,X8),X7)
& model(esk3_2(X7,X8),X8)
& model(esk4_2(X7,X8),X7)
& model(esk4_2(X7,X8),not(X8)) ) ) ),
inference(shift_quantors,[status(thm)],[35]) ).
fof(37,plain,
! [X7,X8,X9,X10] :
( ( ~ model(X10,X7)
| ~ model(X10,not(X8))
| ~ model(X9,X7)
| ~ model(X9,X8)
| status(X7,X8,noc) )
& ( model(esk3_2(X7,X8),X7)
| ~ status(X7,X8,noc) )
& ( model(esk3_2(X7,X8),X8)
| ~ status(X7,X8,noc) )
& ( model(esk4_2(X7,X8),X7)
| ~ status(X7,X8,noc) )
& ( model(esk4_2(X7,X8),not(X8))
| ~ status(X7,X8,noc) ) ),
inference(distribute,[status(thm)],[36]) ).
cnf(42,plain,
( status(X1,X2,noc)
| ~ model(X3,X2)
| ~ model(X3,X1)
| ~ model(X4,not(X2))
| ~ model(X4,X1) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(43,plain,
! [X3,X4] :
( ( ? [X5] :
( model(X5,X3)
& ~ model(X5,X4) )
| status(X3,X4,thm) )
& ( ~ status(X3,X4,thm)
| ! [X5] :
( ~ model(X5,X3)
| model(X5,X4) ) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(44,plain,
! [X6,X7] :
( ( ? [X8] :
( model(X8,X6)
& ~ model(X8,X7) )
| status(X6,X7,thm) )
& ( ~ status(X6,X7,thm)
| ! [X9] :
( ~ model(X9,X6)
| model(X9,X7) ) ) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,plain,
! [X6,X7] :
( ( ( model(esk5_2(X6,X7),X6)
& ~ model(esk5_2(X6,X7),X7) )
| status(X6,X7,thm) )
& ( ~ status(X6,X7,thm)
| ! [X9] :
( ~ model(X9,X6)
| model(X9,X7) ) ) ),
inference(skolemize,[status(esa)],[44]) ).
fof(46,plain,
! [X6,X7,X9] :
( ( ~ model(X9,X6)
| model(X9,X7)
| ~ status(X6,X7,thm) )
& ( ( model(esk5_2(X6,X7),X6)
& ~ model(esk5_2(X6,X7),X7) )
| status(X6,X7,thm) ) ),
inference(shift_quantors,[status(thm)],[45]) ).
fof(47,plain,
! [X6,X7,X9] :
( ( ~ model(X9,X6)
| model(X9,X7)
| ~ status(X6,X7,thm) )
& ( model(esk5_2(X6,X7),X6)
| status(X6,X7,thm) )
& ( ~ model(esk5_2(X6,X7),X7)
| status(X6,X7,thm) ) ),
inference(distribute,[status(thm)],[46]) ).
cnf(50,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(51,plain,
! [X7,X8] :
( ( ! [X3,X4] :
( ~ status(X3,X4,X7)
| status(X3,X4,X8) )
| nota(X7,X8) )
& ( ~ nota(X7,X8)
| ? [X3,X4] :
( status(X3,X4,X7)
& ~ status(X3,X4,X8) ) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(52,plain,
! [X9,X10] :
( ( ! [X11,X12] :
( ~ status(X11,X12,X9)
| status(X11,X12,X10) )
| nota(X9,X10) )
& ( ~ nota(X9,X10)
| ? [X13,X14] :
( status(X13,X14,X9)
& ~ status(X13,X14,X10) ) ) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X9,X10] :
( ( ! [X11,X12] :
( ~ status(X11,X12,X9)
| status(X11,X12,X10) )
| nota(X9,X10) )
& ( ~ nota(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)],[52]) ).
fof(54,plain,
! [X9,X10,X11,X12] :
( ( ~ status(X11,X12,X9)
| status(X11,X12,X10)
| nota(X9,X10) )
& ( ~ nota(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)],[53]) ).
fof(55,plain,
! [X9,X10,X11,X12] :
( ( ~ status(X11,X12,X9)
| status(X11,X12,X10)
| nota(X9,X10) )
& ( status(esk6_2(X9,X10),esk7_2(X9,X10),X9)
| ~ nota(X9,X10) )
& ( ~ status(esk6_2(X9,X10),esk7_2(X9,X10),X10)
| ~ nota(X9,X10) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(58,plain,
( nota(X1,X2)
| status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(77,plain,
? [X3,X4] :
( ? [X5] : model(X5,X3)
& ! [X6] :
( ~ model(X6,X3)
| model(X6,X4) )
& ? [X9] :
( ~ model(X9,X3)
& model(X9,X4) )
& ? [X10] : ~ model(X10,X4) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(78,plain,
? [X11,X12] :
( ? [X13] : model(X13,X11)
& ! [X14] :
( ~ model(X14,X11)
| model(X14,X12) )
& ? [X15] :
( ~ model(X15,X11)
& model(X15,X12) )
& ? [X16] : ~ model(X16,X12) ),
inference(variable_rename,[status(thm)],[77]) ).
fof(79,plain,
( model(esk21_0,esk19_0)
& ! [X14] :
( ~ model(X14,esk19_0)
| model(X14,esk20_0) )
& ~ model(esk22_0,esk19_0)
& model(esk22_0,esk20_0)
& ~ model(esk23_0,esk20_0) ),
inference(skolemize,[status(esa)],[78]) ).
fof(80,plain,
! [X14] :
( ( ~ model(X14,esk19_0)
| model(X14,esk20_0) )
& model(esk21_0,esk19_0)
& ~ model(esk22_0,esk19_0)
& model(esk22_0,esk20_0)
& ~ model(esk23_0,esk20_0) ),
inference(shift_quantors,[status(thm)],[79]) ).
cnf(82,plain,
model(esk22_0,esk20_0),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(83,plain,
~ model(esk22_0,esk19_0),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(84,plain,
model(esk21_0,esk19_0),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(85,plain,
( model(X1,esk20_0)
| ~ model(X1,esk19_0) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(86,negated_conjecture,
~ nota(noc,thm),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(87,plain,
model(esk21_0,esk20_0),
inference(spm,[status(thm)],[85,84,theory(equality)]) ).
cnf(95,plain,
( status(X1,X2,noc)
| model(X3,X2)
| ~ model(X3,X1)
| ~ model(X4,X2)
| ~ model(X4,X1) ),
inference(spm,[status(thm)],[42,25,theory(equality)]) ).
cnf(113,plain,
( status(esk20_0,X1,noc)
| model(esk22_0,X1)
| ~ model(X2,X1)
| ~ model(X2,esk20_0) ),
inference(spm,[status(thm)],[95,82,theory(equality)]) ).
cnf(253,plain,
( status(esk20_0,X1,noc)
| model(esk22_0,X1)
| ~ model(esk21_0,X1) ),
inference(spm,[status(thm)],[113,87,theory(equality)]) ).
cnf(258,plain,
( status(esk20_0,esk19_0,noc)
| model(esk22_0,esk19_0) ),
inference(spm,[status(thm)],[253,84,theory(equality)]) ).
cnf(262,plain,
status(esk20_0,esk19_0,noc),
inference(sr,[status(thm)],[258,83,theory(equality)]) ).
cnf(268,plain,
( nota(noc,X1)
| status(esk20_0,esk19_0,X1) ),
inference(spm,[status(thm)],[58,262,theory(equality)]) ).
cnf(269,negated_conjecture,
status(esk20_0,esk19_0,thm),
inference(spm,[status(thm)],[86,268,theory(equality)]) ).
cnf(272,negated_conjecture,
( model(X1,esk19_0)
| ~ model(X1,esk20_0) ),
inference(spm,[status(thm)],[50,269,theory(equality)]) ).
cnf(273,negated_conjecture,
model(esk22_0,esk19_0),
inference(spm,[status(thm)],[272,82,theory(equality)]) ).
cnf(278,negated_conjecture,
$false,
inference(sr,[status(thm)],[273,83,theory(equality)]) ).
cnf(279,negated_conjecture,
$false,
278,
[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/KRS217+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpRM9Fnu/sel_KRS217+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/tmpRM9Fnu/sel_KRS217+1.p_1']
% -prover status Theorem
% Problem KRS217+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS217+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS217+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
%
%------------------------------------------------------------------------------