TSTP Solution File: KRS260+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS260+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : glasgow.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 07:57:44 EDT 2012
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 18 unt; 0 def)
% Number of atoms : 221 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 257 ( 92 ~; 98 |; 60 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 147 ( 22 sgn 74 !; 32 ?)
% 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/tmpy4ngt0/sel_KRS260+1.p_1',wec) ).
fof(2,axiom,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',non_thm_spt) ).
fof(3,axiom,
? [X6] :
! [X7] : model(X7,X6),
file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',tautology) ).
fof(4,axiom,
! [X8,X9] :
( ? [X1,X2] :
( status(X1,X2,X8)
& status(X1,X2,X9) )
<=> mighta(X8,X9) ),
file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',mighta) ).
fof(6,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',thm) ).
fof(10,conjecture,
mighta(wec,thm),
file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',mighta_wec_thm) ).
fof(11,negated_conjecture,
~ mighta(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(13,plain,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(18,negated_conjecture,
~ mighta(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(24,plain,
( status(X1,X2,wec)
| model(X3,X1)
| ~ model(X3,X2)
| ~ model(X4,X1)
| ~ model(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(30,plain,
? [X5,X6,X7] :
( model(X5,X6)
& ~ model(X5,X7)
& ? [X8] : model(X8,X7) ),
inference(variable_rename,[status(thm)],[13]) ).
fof(31,plain,
( model(esk4_0,esk5_0)
& ~ model(esk4_0,esk6_0)
& model(esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[30]) ).
cnf(32,plain,
model(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(33,plain,
~ model(esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(34,plain,
model(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[31]) ).
fof(35,plain,
? [X8] :
! [X9] : model(X9,X8),
inference(variable_rename,[status(thm)],[3]) ).
fof(36,plain,
! [X9] : model(X9,esk8_0),
inference(skolemize,[status(esa)],[35]) ).
cnf(37,plain,
model(X1,esk8_0),
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X8,X9] :
( ( ! [X1,X2] :
( ~ status(X1,X2,X8)
| ~ status(X1,X2,X9) )
| mighta(X8,X9) )
& ( ~ mighta(X8,X9)
| ? [X1,X2] :
( status(X1,X2,X8)
& status(X1,X2,X9) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(39,plain,
! [X10,X11] :
( ( ! [X12,X13] :
( ~ status(X12,X13,X10)
| ~ status(X12,X13,X11) )
| mighta(X10,X11) )
& ( ~ mighta(X10,X11)
| ? [X14,X15] :
( status(X14,X15,X10)
& status(X14,X15,X11) ) ) ),
inference(variable_rename,[status(thm)],[38]) ).
fof(40,plain,
! [X10,X11] :
( ( ! [X12,X13] :
( ~ status(X12,X13,X10)
| ~ status(X12,X13,X11) )
| mighta(X10,X11) )
& ( ~ mighta(X10,X11)
| ( status(esk9_2(X10,X11),esk10_2(X10,X11),X10)
& status(esk9_2(X10,X11),esk10_2(X10,X11),X11) ) ) ),
inference(skolemize,[status(esa)],[39]) ).
fof(41,plain,
! [X10,X11,X12,X13] :
( ( ~ status(X12,X13,X10)
| ~ status(X12,X13,X11)
| mighta(X10,X11) )
& ( ~ mighta(X10,X11)
| ( status(esk9_2(X10,X11),esk10_2(X10,X11),X10)
& status(esk9_2(X10,X11),esk10_2(X10,X11),X11) ) ) ),
inference(shift_quantors,[status(thm)],[40]) ).
fof(42,plain,
! [X10,X11,X12,X13] :
( ( ~ status(X12,X13,X10)
| ~ status(X12,X13,X11)
| mighta(X10,X11) )
& ( status(esk9_2(X10,X11),esk10_2(X10,X11),X10)
| ~ mighta(X10,X11) )
& ( status(esk9_2(X10,X11),esk10_2(X10,X11),X11)
| ~ mighta(X10,X11) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(45,plain,
( mighta(X1,X2)
| ~ status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(49,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)],[6]) ).
fof(50,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)],[49]) ).
fof(51,plain,
! [X4,X5] :
( ( ( model(esk12_2(X4,X5),X4)
& ~ model(esk12_2(X4,X5),X5) )
| status(X4,X5,thm) )
& ( ~ status(X4,X5,thm)
| ! [X7] :
( ~ model(X7,X4)
| model(X7,X5) ) ) ),
inference(skolemize,[status(esa)],[50]) ).
fof(52,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( ( model(esk12_2(X4,X5),X4)
& ~ model(esk12_2(X4,X5),X5) )
| status(X4,X5,thm) ) ),
inference(shift_quantors,[status(thm)],[51]) ).
fof(53,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( model(esk12_2(X4,X5),X4)
| status(X4,X5,thm) )
& ( ~ model(esk12_2(X4,X5),X5)
| status(X4,X5,thm) ) ),
inference(distribute,[status(thm)],[52]) ).
cnf(54,plain,
( status(X1,X2,thm)
| ~ model(esk12_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(75,negated_conjecture,
~ mighta(wec,thm),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(77,plain,
status(X1,esk8_0,thm),
inference(spm,[status(thm)],[54,37,theory(equality)]) ).
cnf(107,plain,
( status(X1,esk8_0,wec)
| model(X2,X1)
| ~ model(X3,X1)
| ~ model(X2,esk8_0) ),
inference(spm,[status(thm)],[24,37,theory(equality)]) ).
cnf(109,plain,
( status(X1,esk8_0,wec)
| model(X2,X1)
| ~ model(X3,X1)
| $false ),
inference(rw,[status(thm)],[107,37,theory(equality)]) ).
cnf(110,plain,
( status(X1,esk8_0,wec)
| model(X2,X1)
| ~ model(X3,X1) ),
inference(cn,[status(thm)],[109,theory(equality)]) ).
cnf(113,plain,
( mighta(X1,thm)
| ~ status(X2,esk8_0,X1) ),
inference(spm,[status(thm)],[45,77,theory(equality)]) ).
cnf(149,plain,
( status(esk5_0,esk8_0,wec)
| model(X1,esk5_0) ),
inference(spm,[status(thm)],[110,34,theory(equality)]) ).
cnf(177,plain,
( mighta(wec,thm)
| model(X1,esk5_0) ),
inference(spm,[status(thm)],[113,149,theory(equality)]) ).
cnf(180,plain,
model(X1,esk5_0),
inference(sr,[status(thm)],[177,75,theory(equality)]) ).
cnf(181,plain,
status(X1,esk5_0,thm),
inference(spm,[status(thm)],[54,180,theory(equality)]) ).
cnf(184,plain,
( status(X1,esk5_0,wec)
| model(X2,X1)
| ~ model(X3,X1)
| ~ model(X2,esk5_0) ),
inference(spm,[status(thm)],[24,180,theory(equality)]) ).
cnf(191,plain,
( status(X1,esk5_0,wec)
| model(X2,X1)
| ~ model(X3,X1)
| $false ),
inference(rw,[status(thm)],[184,180,theory(equality)]) ).
cnf(192,plain,
( status(X1,esk5_0,wec)
| model(X2,X1)
| ~ model(X3,X1) ),
inference(cn,[status(thm)],[191,theory(equality)]) ).
cnf(194,plain,
( mighta(X1,thm)
| ~ status(X2,esk5_0,X1) ),
inference(spm,[status(thm)],[45,181,theory(equality)]) ).
cnf(210,plain,
( status(esk6_0,esk5_0,wec)
| model(X1,esk6_0) ),
inference(spm,[status(thm)],[192,32,theory(equality)]) ).
cnf(232,plain,
( mighta(wec,thm)
| model(X1,esk6_0) ),
inference(spm,[status(thm)],[194,210,theory(equality)]) ).
cnf(235,plain,
model(X1,esk6_0),
inference(sr,[status(thm)],[232,75,theory(equality)]) ).
cnf(243,plain,
$false,
inference(rw,[status(thm)],[33,235,theory(equality)]) ).
cnf(244,plain,
$false,
inference(cn,[status(thm)],[243,theory(equality)]) ).
cnf(245,plain,
$false,
244,
[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/KRS260+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpy4ngt0/sel_KRS260+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/tmpy4ngt0/sel_KRS260+1.p_1']
% -prover status Theorem
% Problem KRS260+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS260+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS260+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
%
%------------------------------------------------------------------------------