TSTP Solution File: KRS264+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS264+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : selma.cs.miami.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Core(TM)2 CPU 6600 @ 2.40GHz @ 2394MHz
% Memory : 1004.5MB
% OS : Linux 2.6.27.5-117.fc10.x86_64
% CPULimit : 300s
% DateTime : Fri Jun 15 07:58:01 EDT 2012
% Result : Theorem 0.16s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 57 ( 14 unt; 0 def)
% Number of atoms : 276 ( 0 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 338 ( 119 ~; 127 |; 83 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 172 ( 25 sgn 82 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X7,X8] :
( ? [X2,X3] :
( status(X2,X3,X7)
& status(X2,X3,X8) )
<=> mighta(X7,X8) ),
file('/tmp/tmpucmSmv/sel_KRS264+1.p_1',mighta) ).
fof(5,axiom,
! [X2,X3] :
( ! [X1] :
( model(X1,X2)
=> model(X1,X3) )
<=> status(X2,X3,thm) ),
file('/tmp/tmpucmSmv/sel_KRS264+1.p_1',thm) ).
fof(7,axiom,
! [X2,X3] :
( ( ? [X1] : model(X1,X2)
& ! [X4] :
( model(X4,X2)
=> model(X4,X3) )
& ? [X9] :
( model(X9,X3)
& ~ model(X9,X2) )
& ? [X10] : ~ model(X10,X3) )
<=> status(X2,X3,wth) ),
file('/tmp/tmpucmSmv/sel_KRS264+1.p_1',wth) ).
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/tmpucmSmv/sel_KRS264+1.p_1',mixed_pair) ).
fof(10,conjecture,
mighta(wth,thm),
file('/tmp/tmpucmSmv/sel_KRS264+1.p_1',mighta_wth_thm) ).
fof(11,negated_conjecture,
~ mighta(wth,thm),
inference(assume_negation,[status(cth)],[10]) ).
fof(15,plain,
! [X2,X3] :
( ( ? [X1] : model(X1,X2)
& ! [X4] :
( model(X4,X2)
=> model(X4,X3) )
& ? [X9] :
( model(X9,X3)
& ~ model(X9,X2) )
& ? [X10] : ~ model(X10,X3) )
<=> status(X2,X3,wth) ),
inference(fof_simplification,[status(thm)],[7,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,
~ mighta(wth,thm),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(27,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(28,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)],[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(skolemize,[status(esa)],[28]) ).
fof(30,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)],[29]) ).
fof(31,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)],[30]) ).
cnf(34,plain,
( mighta(X1,X2)
| ~ status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(38,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)],[5]) ).
fof(39,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)],[38]) ).
fof(40,plain,
! [X4,X5] :
( ( ( model(esk9_2(X4,X5),X4)
& ~ model(esk9_2(X4,X5),X5) )
| status(X4,X5,thm) )
& ( ~ status(X4,X5,thm)
| ! [X7] :
( ~ model(X7,X4)
| model(X7,X5) ) ) ),
inference(skolemize,[status(esa)],[39]) ).
fof(41,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( ( model(esk9_2(X4,X5),X4)
& ~ model(esk9_2(X4,X5),X5) )
| status(X4,X5,thm) ) ),
inference(shift_quantors,[status(thm)],[40]) ).
fof(42,plain,
! [X4,X5,X7] :
( ( ~ model(X7,X4)
| model(X7,X5)
| ~ status(X4,X5,thm) )
& ( model(esk9_2(X4,X5),X4)
| status(X4,X5,thm) )
& ( ~ model(esk9_2(X4,X5),X5)
| status(X4,X5,thm) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(43,plain,
( status(X1,X2,thm)
| ~ model(esk9_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(44,plain,
( status(X1,X2,thm)
| model(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(51,plain,
! [X2,X3] :
( ( ! [X1] : ~ model(X1,X2)
| ? [X4] :
( model(X4,X2)
& ~ model(X4,X3) )
| ! [X9] :
( ~ model(X9,X3)
| model(X9,X2) )
| ! [X10] : model(X10,X3)
| status(X2,X3,wth) )
& ( ~ status(X2,X3,wth)
| ( ? [X1] : model(X1,X2)
& ! [X4] :
( ~ model(X4,X2)
| model(X4,X3) )
& ? [X9] :
( model(X9,X3)
& ~ model(X9,X2) )
& ? [X10] : ~ model(X10,X3) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(52,plain,
! [X11,X12] :
( ( ! [X13] : ~ model(X13,X11)
| ? [X14] :
( model(X14,X11)
& ~ model(X14,X12) )
| ! [X15] :
( ~ model(X15,X12)
| model(X15,X11) )
| ! [X16] : model(X16,X12)
| status(X11,X12,wth) )
& ( ~ status(X11,X12,wth)
| ( ? [X17] : model(X17,X11)
& ! [X18] :
( ~ model(X18,X11)
| model(X18,X12) )
& ? [X19] :
( model(X19,X12)
& ~ model(X19,X11) )
& ? [X20] : ~ model(X20,X12) ) ) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X11,X12] :
( ( ! [X13] : ~ model(X13,X11)
| ( model(esk14_2(X11,X12),X11)
& ~ model(esk14_2(X11,X12),X12) )
| ! [X15] :
( ~ model(X15,X12)
| model(X15,X11) )
| ! [X16] : model(X16,X12)
| status(X11,X12,wth) )
& ( ~ status(X11,X12,wth)
| ( model(esk15_2(X11,X12),X11)
& ! [X18] :
( ~ model(X18,X11)
| model(X18,X12) )
& model(esk16_2(X11,X12),X12)
& ~ model(esk16_2(X11,X12),X11)
& ~ model(esk17_2(X11,X12),X12) ) ) ),
inference(skolemize,[status(esa)],[52]) ).
fof(54,plain,
! [X11,X12,X13,X15,X16,X18] :
( ( ( ( ~ model(X18,X11)
| model(X18,X12) )
& model(esk15_2(X11,X12),X11)
& model(esk16_2(X11,X12),X12)
& ~ model(esk16_2(X11,X12),X11)
& ~ model(esk17_2(X11,X12),X12) )
| ~ status(X11,X12,wth) )
& ( model(X16,X12)
| ~ model(X15,X12)
| model(X15,X11)
| ~ model(X13,X11)
| ( model(esk14_2(X11,X12),X11)
& ~ model(esk14_2(X11,X12),X12) )
| status(X11,X12,wth) ) ),
inference(shift_quantors,[status(thm)],[53]) ).
fof(55,plain,
! [X11,X12,X13,X15,X16,X18] :
( ( ~ model(X18,X11)
| model(X18,X12)
| ~ status(X11,X12,wth) )
& ( model(esk15_2(X11,X12),X11)
| ~ status(X11,X12,wth) )
& ( model(esk16_2(X11,X12),X12)
| ~ status(X11,X12,wth) )
& ( ~ model(esk16_2(X11,X12),X11)
| ~ status(X11,X12,wth) )
& ( ~ model(esk17_2(X11,X12),X12)
| ~ status(X11,X12,wth) )
& ( model(esk14_2(X11,X12),X11)
| ~ model(X13,X11)
| ~ model(X15,X12)
| model(X15,X11)
| model(X16,X12)
| status(X11,X12,wth) )
& ( ~ model(esk14_2(X11,X12),X12)
| ~ model(X13,X11)
| ~ model(X15,X12)
| model(X15,X11)
| model(X16,X12)
| status(X11,X12,wth) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(56,plain,
( status(X1,X2,wth)
| model(X3,X2)
| model(X4,X1)
| ~ model(X4,X2)
| ~ model(X5,X1)
| ~ model(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,plain,
( status(X1,X2,wth)
| model(X3,X2)
| model(X4,X1)
| model(esk14_2(X1,X2),X1)
| ~ model(X4,X2)
| ~ model(X5,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(67,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(68,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)],[67]) ).
fof(69,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)],[68]) ).
fof(70,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)],[69]) ).
cnf(71,plain,
~ model(esk25_0,esk22_0),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(72,plain,
model(esk24_0,esk22_0),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(73,plain,
~ model(esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(74,plain,
model(esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(75,plain,
( model(X1,esk22_0)
| ~ model(X1,esk21_0) ),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(76,negated_conjecture,
~ mighta(wth,thm),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(79,plain,
( status(X1,esk22_0,thm)
| ~ model(esk9_2(X1,esk22_0),esk21_0) ),
inference(spm,[status(thm)],[43,75,theory(equality)]) ).
cnf(101,plain,
( status(esk21_0,X1,wth)
| model(esk14_2(esk21_0,X1),esk21_0)
| model(X2,X1)
| model(X3,esk21_0)
| ~ model(X3,X1) ),
inference(spm,[status(thm)],[57,74,theory(equality)]) ).
cnf(111,plain,
( status(X1,esk22_0,wth)
| model(X2,esk22_0)
| model(X3,X1)
| ~ model(X4,X1)
| ~ model(X3,esk22_0)
| ~ model(esk14_2(X1,esk22_0),esk21_0) ),
inference(spm,[status(thm)],[56,75,theory(equality)]) ).
cnf(125,plain,
status(esk21_0,esk22_0,thm),
inference(spm,[status(thm)],[79,44,theory(equality)]) ).
cnf(128,plain,
( mighta(X1,thm)
| ~ status(esk21_0,esk22_0,X1) ),
inference(spm,[status(thm)],[34,125,theory(equality)]) ).
cnf(130,negated_conjecture,
~ status(esk21_0,esk22_0,wth),
inference(spm,[status(thm)],[76,128,theory(equality)]) ).
cnf(578,plain,
( status(esk21_0,esk22_0,wth)
| model(esk14_2(esk21_0,esk22_0),esk21_0)
| model(esk24_0,esk21_0)
| model(X1,esk22_0) ),
inference(spm,[status(thm)],[101,72,theory(equality)]) ).
cnf(620,plain,
( model(esk14_2(esk21_0,esk22_0),esk21_0)
| model(esk24_0,esk21_0)
| model(X1,esk22_0) ),
inference(sr,[status(thm)],[578,130,theory(equality)]) ).
cnf(621,plain,
( model(esk14_2(esk21_0,esk22_0),esk21_0)
| model(X1,esk22_0) ),
inference(sr,[status(thm)],[620,73,theory(equality)]) ).
cnf(1501,plain,
( status(esk21_0,esk22_0,wth)
| model(X1,esk22_0)
| model(X2,esk21_0)
| model(X4,esk22_0)
| ~ model(X2,esk22_0)
| ~ model(X3,esk21_0) ),
inference(spm,[status(thm)],[111,621,theory(equality)]) ).
cnf(1507,plain,
( model(X1,esk22_0)
| model(X2,esk21_0)
| model(X4,esk22_0)
| ~ model(X2,esk22_0)
| ~ model(X3,esk21_0) ),
inference(sr,[status(thm)],[1501,130,theory(equality)]) ).
cnf(1615,plain,
( model(X1,esk22_0)
| model(esk24_0,esk21_0)
| model(X2,esk22_0)
| ~ model(X3,esk21_0) ),
inference(spm,[status(thm)],[1507,72,theory(equality)]) ).
cnf(1633,plain,
( model(X1,esk22_0)
| model(X2,esk22_0)
| ~ model(X3,esk21_0) ),
inference(sr,[status(thm)],[1615,73,theory(equality)]) ).
cnf(1634,plain,
( model(X1,esk22_0)
| model(X2,esk22_0) ),
inference(spm,[status(thm)],[1633,74,theory(equality)]) ).
cnf(1651,plain,
model(X3,esk22_0),
inference(ef,[status(thm)],[1634,theory(equality)]) ).
cnf(1694,plain,
$false,
inference(rw,[status(thm)],[71,1651,theory(equality)]) ).
cnf(1695,plain,
$false,
inference(cn,[status(thm)],[1694,theory(equality)]) ).
cnf(1696,plain,
$false,
1695,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS264+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpucmSmv/sel_KRS264+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/tmpucmSmv/sel_KRS264+1.p_1']
% -prover status Theorem
% Problem KRS264+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS264+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS264+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
%
%------------------------------------------------------------------------------