TSTP Solution File: KRS202+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS202+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : appomattox.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 07:49:30 EDT 2012
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 61 ( 23 unt; 0 def)
% Number of atoms : 216 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 252 ( 97 ~; 86 |; 61 &)
% ( 5 <=>; 3 =>; 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 : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 160 ( 8 sgn 87 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
? [X5] :
! [X6] : model(X6,X5),
file('/tmp/tmpTRGihs/sel_KRS202+1.p_1',tautology) ).
fof(3,axiom,
? [X5] :
! [X6] : ~ model(X6,X5),
file('/tmp/tmpTRGihs/sel_KRS202+1.p_1',contradiction) ).
fof(4,axiom,
! [X2,X3] :
( ! [X1] :
( model(X1,X2)
=> model(X1,X3) )
<=> status(X2,X3,thm) ),
file('/tmp/tmpTRGihs/sel_KRS202+1.p_1',thm) ).
fof(5,axiom,
! [X7,X8] :
( ? [X2,X3] :
( status(X2,X3,X7)
& ~ status(X2,X3,X8) )
<=> nota(X7,X8) ),
file('/tmp/tmpTRGihs/sel_KRS202+1.p_1',nota) ).
fof(7,axiom,
! [X2,X3] :
( ( ? [X1] : model(X1,X2)
<=> ? [X4] : model(X4,X3) )
<=> status(X2,X3,esa) ),
file('/tmp/tmpTRGihs/sel_KRS202+1.p_1',esa) ).
fof(9,axiom,
? [X2,X3] :
( ? [X1] : model(X1,X2)
& ! [X4] :
( model(X4,X2)
=> model(X4,X3) )
& ? [X9] :
( ~ model(X9,X2)
& model(X9,X3) )
& ? [X10] : ~ model(X10,X3) ),
file('/tmp/tmpTRGihs/sel_KRS202+1.p_1',mixed_pair) ).
fof(10,conjecture,
nota(esa,thm),
file('/tmp/tmpTRGihs/sel_KRS202+1.p_1',nota_esa_thm) ).
fof(11,negated_conjecture,
~ nota(esa,thm),
inference(assume_negation,[status(cth)],[10]) ).
fof(13,plain,
? [X5] :
! [X6] : ~ model(X6,X5),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(14,plain,
! [X7,X8] :
( ? [X2,X3] :
( status(X2,X3,X7)
& ~ status(X2,X3,X8) )
<=> nota(X7,X8) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(17,plain,
? [X2,X3] :
( ? [X1] : model(X1,X2)
& ! [X4] :
( model(X4,X2)
=> model(X4,X3) )
& ? [X9] :
( ~ model(X9,X2)
& model(X9,X3) )
& ? [X10] : ~ model(X10,X3) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(18,negated_conjecture,
~ nota(esa,thm),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(24,plain,
? [X7] :
! [X8] : model(X8,X7),
inference(variable_rename,[status(thm)],[2]) ).
fof(25,plain,
! [X8] : model(X8,esk5_0),
inference(skolemize,[status(esa)],[24]) ).
cnf(26,plain,
model(X1,esk5_0),
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
? [X7] :
! [X8] : ~ model(X8,X7),
inference(variable_rename,[status(thm)],[13]) ).
fof(28,plain,
! [X8] : ~ model(X8,esk6_0),
inference(skolemize,[status(esa)],[27]) ).
cnf(29,plain,
~ model(X1,esk6_0),
inference(split_conjunct,[status(thm)],[28]) ).
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(37,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(38,plain,
! [X7,X8] :
( ( ! [X2,X3] :
( ~ status(X2,X3,X7)
| status(X2,X3,X8) )
| nota(X7,X8) )
& ( ~ nota(X7,X8)
| ? [X2,X3] :
( status(X2,X3,X7)
& ~ status(X2,X3,X8) ) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(39,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)],[38]) ).
fof(40,plain,
! [X9,X10] :
( ( ! [X11,X12] :
( ~ status(X11,X12,X9)
| status(X11,X12,X10) )
| nota(X9,X10) )
& ( ~ nota(X9,X10)
| ( status(esk8_2(X9,X10),esk9_2(X9,X10),X9)
& ~ status(esk8_2(X9,X10),esk9_2(X9,X10),X10) ) ) ),
inference(skolemize,[status(esa)],[39]) ).
fof(41,plain,
! [X9,X10,X11,X12] :
( ( ~ status(X11,X12,X9)
| status(X11,X12,X10)
| nota(X9,X10) )
& ( ~ nota(X9,X10)
| ( status(esk8_2(X9,X10),esk9_2(X9,X10),X9)
& ~ status(esk8_2(X9,X10),esk9_2(X9,X10),X10) ) ) ),
inference(shift_quantors,[status(thm)],[40]) ).
fof(42,plain,
! [X9,X10,X11,X12] :
( ( ~ status(X11,X12,X9)
| status(X11,X12,X10)
| nota(X9,X10) )
& ( status(esk8_2(X9,X10),esk9_2(X9,X10),X9)
| ~ nota(X9,X10) )
& ( ~ status(esk8_2(X9,X10),esk9_2(X9,X10),X10)
| ~ nota(X9,X10) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(45,plain,
( nota(X1,X2)
| status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(51,plain,
! [X2,X3] :
( ( ( ( ! [X1] : ~ model(X1,X2)
| ! [X4] : ~ model(X4,X3) )
& ( ? [X1] : model(X1,X2)
| ? [X4] : model(X4,X3) ) )
| status(X2,X3,esa) )
& ( ~ status(X2,X3,esa)
| ( ( ! [X1] : ~ model(X1,X2)
| ? [X4] : model(X4,X3) )
& ( ! [X4] : ~ model(X4,X3)
| ? [X1] : model(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(52,plain,
! [X5,X6] :
( ( ( ( ! [X7] : ~ model(X7,X5)
| ! [X8] : ~ model(X8,X6) )
& ( ? [X9] : model(X9,X5)
| ? [X10] : model(X10,X6) ) )
| status(X5,X6,esa) )
& ( ~ status(X5,X6,esa)
| ( ( ! [X11] : ~ model(X11,X5)
| ? [X12] : model(X12,X6) )
& ( ! [X13] : ~ model(X13,X6)
| ? [X14] : model(X14,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X5,X6] :
( ( ( ( ! [X7] : ~ model(X7,X5)
| ! [X8] : ~ model(X8,X6) )
& ( model(esk14_2(X5,X6),X5)
| model(esk15_2(X5,X6),X6) ) )
| status(X5,X6,esa) )
& ( ~ status(X5,X6,esa)
| ( ( ! [X11] : ~ model(X11,X5)
| model(esk16_2(X5,X6),X6) )
& ( ! [X13] : ~ model(X13,X6)
| model(esk17_2(X5,X6),X5) ) ) ) ),
inference(skolemize,[status(esa)],[52]) ).
fof(54,plain,
! [X5,X6,X7,X8,X11,X13] :
( ( ( ( ~ model(X13,X6)
| model(esk17_2(X5,X6),X5) )
& ( ~ model(X11,X5)
| model(esk16_2(X5,X6),X6) ) )
| ~ status(X5,X6,esa) )
& ( ( ( ~ model(X8,X6)
| ~ model(X7,X5) )
& ( model(esk14_2(X5,X6),X5)
| model(esk15_2(X5,X6),X6) ) )
| status(X5,X6,esa) ) ),
inference(shift_quantors,[status(thm)],[53]) ).
fof(55,plain,
! [X5,X6,X7,X8,X11,X13] :
( ( ~ model(X13,X6)
| model(esk17_2(X5,X6),X5)
| ~ status(X5,X6,esa) )
& ( ~ model(X11,X5)
| model(esk16_2(X5,X6),X6)
| ~ status(X5,X6,esa) )
& ( ~ model(X8,X6)
| ~ model(X7,X5)
| status(X5,X6,esa) )
& ( model(esk14_2(X5,X6),X5)
| model(esk15_2(X5,X6),X6)
| status(X5,X6,esa) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(56,plain,
( status(X1,X2,esa)
| model(esk15_2(X1,X2),X2)
| model(esk14_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,plain,
( status(X1,X2,esa)
| ~ model(X3,X1)
| ~ model(X4,X2) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(58,plain,
( model(esk16_2(X1,X2),X2)
| ~ status(X1,X2,esa)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(64,plain,
? [X2,X3] :
( ? [X1] : model(X1,X2)
& ! [X4] :
( ~ model(X4,X2)
| model(X4,X3) )
& ? [X9] :
( ~ model(X9,X2)
& model(X9,X3) )
& ? [X10] : ~ model(X10,X3) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(65,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)],[64]) ).
fof(66,plain,
( model(esk23_0,esk21_0)
& ! [X14] :
( ~ model(X14,esk21_0)
| model(X14,esk22_0) )
& ~ model(esk24_0,esk21_0)
& model(esk24_0,esk22_0)
& ~ model(esk25_0,esk22_0) ),
inference(skolemize,[status(esa)],[65]) ).
fof(67,plain,
! [X14] :
( ( ~ model(X14,esk21_0)
| model(X14,esk22_0) )
& model(esk23_0,esk21_0)
& ~ model(esk24_0,esk21_0)
& model(esk24_0,esk22_0)
& ~ model(esk25_0,esk22_0) ),
inference(shift_quantors,[status(thm)],[66]) ).
cnf(68,plain,
~ model(esk25_0,esk22_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(71,plain,
model(esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(72,plain,
( model(X1,esk22_0)
| ~ model(X1,esk21_0) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(73,negated_conjecture,
~ nota(esa,thm),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(78,plain,
~ model(esk25_0,esk21_0),
inference(spm,[status(thm)],[68,72,theory(equality)]) ).
cnf(85,plain,
( status(X1,esk21_0,esa)
| ~ model(X2,X1) ),
inference(spm,[status(thm)],[57,71,theory(equality)]) ).
cnf(91,plain,
( model(esk16_2(esk5_0,X1),X1)
| ~ status(esk5_0,X1,esa) ),
inference(spm,[status(thm)],[58,26,theory(equality)]) ).
cnf(111,plain,
( status(X1,esk6_0,esa)
| model(esk14_2(X1,esk6_0),X1) ),
inference(spm,[status(thm)],[29,56,theory(equality)]) ).
cnf(337,plain,
( status(X1,esk21_0,esa)
| status(X1,esk6_0,esa) ),
inference(spm,[status(thm)],[85,111,theory(equality)]) ).
cnf(475,plain,
~ status(esk5_0,esk6_0,esa),
inference(spm,[status(thm)],[29,91,theory(equality)]) ).
cnf(494,plain,
status(esk5_0,esk21_0,esa),
inference(spm,[status(thm)],[475,337,theory(equality)]) ).
cnf(502,plain,
( nota(esa,X1)
| status(esk5_0,esk21_0,X1) ),
inference(spm,[status(thm)],[45,494,theory(equality)]) ).
cnf(504,negated_conjecture,
status(esk5_0,esk21_0,thm),
inference(spm,[status(thm)],[73,502,theory(equality)]) ).
cnf(525,negated_conjecture,
( model(X1,esk21_0)
| ~ model(X1,esk5_0) ),
inference(spm,[status(thm)],[37,504,theory(equality)]) ).
cnf(526,negated_conjecture,
( model(X1,esk21_0)
| $false ),
inference(rw,[status(thm)],[525,26,theory(equality)]) ).
cnf(527,negated_conjecture,
model(X1,esk21_0),
inference(cn,[status(thm)],[526,theory(equality)]) ).
cnf(542,plain,
$false,
inference(rw,[status(thm)],[78,527,theory(equality)]) ).
cnf(543,plain,
$false,
inference(cn,[status(thm)],[542,theory(equality)]) ).
cnf(544,plain,
$false,
543,
[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/KRS202+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpTRGihs/sel_KRS202+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/tmpTRGihs/sel_KRS202+1.p_1']
% -prover status Theorem
% Problem KRS202+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS202+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS202+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
%
%------------------------------------------------------------------------------