TSTP Solution File: KRS186+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS186+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : newtonia.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 07:48:01 EDT 2012
% Result : Theorem 0.08s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 201 ( 72 ~; 82 |; 41 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 65 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X2,X3] :
( ( ? [X1] : model(X1,X2)
& ! [X4] :
( model(X4,X2)
<=> model(X4,X3) ) )
<=> status(X2,X3,eqv) ),
file('/tmp/tmpWK4WPX/sel_KRS186+1.p_1',eqv) ).
fof(5,axiom,
! [X2,X3] :
( ! [X1] :
( model(X1,X2)
=> model(X1,X3) )
<=> status(X2,X3,thm) ),
file('/tmp/tmpWK4WPX/sel_KRS186+1.p_1',thm) ).
fof(7,axiom,
! [X7,X8] :
( ! [X2,X3] :
( status(X2,X3,X7)
=> status(X2,X3,X8) )
<=> isa(X7,X8) ),
file('/tmp/tmpWK4WPX/sel_KRS186+1.p_1',isa) ).
fof(10,conjecture,
isa(eqv,thm),
file('/tmp/tmpWK4WPX/sel_KRS186+1.p_1',isa_eqv_thm) ).
fof(11,negated_conjecture,
~ isa(eqv,thm),
inference(assume_negation,[status(cth)],[10]) ).
fof(17,negated_conjecture,
~ isa(eqv,thm),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(29,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)],[4]) ).
fof(30,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)],[29]) ).
fof(31,plain,
! [X5,X6] :
( ( ! [X7] : ~ model(X7,X5)
| ( ( ~ model(esk7_2(X5,X6),X5)
| ~ model(esk7_2(X5,X6),X6) )
& ( model(esk7_2(X5,X6),X5)
| model(esk7_2(X5,X6),X6) ) )
| status(X5,X6,eqv) )
& ( ~ status(X5,X6,eqv)
| ( model(esk8_2(X5,X6),X5)
& ! [X10] :
( ( ~ model(X10,X5)
| model(X10,X6) )
& ( ~ model(X10,X6)
| model(X10,X5) ) ) ) ) ),
inference(skolemize,[status(esa)],[30]) ).
fof(32,plain,
! [X5,X6,X7,X10] :
( ( ( ( ~ model(X10,X5)
| model(X10,X6) )
& ( ~ model(X10,X6)
| model(X10,X5) )
& model(esk8_2(X5,X6),X5) )
| ~ status(X5,X6,eqv) )
& ( ~ model(X7,X5)
| ( ( ~ model(esk7_2(X5,X6),X5)
| ~ model(esk7_2(X5,X6),X6) )
& ( model(esk7_2(X5,X6),X5)
| model(esk7_2(X5,X6),X6) ) )
| status(X5,X6,eqv) ) ),
inference(shift_quantors,[status(thm)],[31]) ).
fof(33,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(esk8_2(X5,X6),X5)
| ~ status(X5,X6,eqv) )
& ( ~ model(esk7_2(X5,X6),X5)
| ~ model(esk7_2(X5,X6),X6)
| ~ model(X7,X5)
| status(X5,X6,eqv) )
& ( model(esk7_2(X5,X6),X5)
| model(esk7_2(X5,X6),X6)
| ~ model(X7,X5)
| status(X5,X6,eqv) ) ),
inference(distribute,[status(thm)],[32]) ).
cnf(38,plain,
( model(X3,X2)
| ~ status(X1,X2,eqv)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(39,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(40,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)],[39]) ).
fof(41,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)],[40]) ).
fof(42,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)],[41]) ).
fof(43,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)],[42]) ).
cnf(44,plain,
( status(X1,X2,thm)
| ~ model(esk9_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(45,plain,
( status(X1,X2,thm)
| model(esk9_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[43]) ).
fof(52,plain,
! [X7,X8] :
( ( ? [X2,X3] :
( status(X2,X3,X7)
& ~ status(X2,X3,X8) )
| isa(X7,X8) )
& ( ~ isa(X7,X8)
| ! [X2,X3] :
( ~ status(X2,X3,X7)
| status(X2,X3,X8) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(53,plain,
! [X9,X10] :
( ( ? [X11,X12] :
( status(X11,X12,X9)
& ~ status(X11,X12,X10) )
| isa(X9,X10) )
& ( ~ isa(X9,X10)
| ! [X13,X14] :
( ~ status(X13,X14,X9)
| status(X13,X14,X10) ) ) ),
inference(variable_rename,[status(thm)],[52]) ).
fof(54,plain,
! [X9,X10] :
( ( ( status(esk14_2(X9,X10),esk15_2(X9,X10),X9)
& ~ status(esk14_2(X9,X10),esk15_2(X9,X10),X10) )
| isa(X9,X10) )
& ( ~ isa(X9,X10)
| ! [X13,X14] :
( ~ status(X13,X14,X9)
| status(X13,X14,X10) ) ) ),
inference(skolemize,[status(esa)],[53]) ).
fof(55,plain,
! [X9,X10,X13,X14] :
( ( ~ status(X13,X14,X9)
| status(X13,X14,X10)
| ~ isa(X9,X10) )
& ( ( status(esk14_2(X9,X10),esk15_2(X9,X10),X9)
& ~ status(esk14_2(X9,X10),esk15_2(X9,X10),X10) )
| isa(X9,X10) ) ),
inference(shift_quantors,[status(thm)],[54]) ).
fof(56,plain,
! [X9,X10,X13,X14] :
( ( ~ status(X13,X14,X9)
| status(X13,X14,X10)
| ~ isa(X9,X10) )
& ( status(esk14_2(X9,X10),esk15_2(X9,X10),X9)
| isa(X9,X10) )
& ( ~ status(esk14_2(X9,X10),esk15_2(X9,X10),X10)
| isa(X9,X10) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(57,plain,
( isa(X1,X2)
| ~ status(esk14_2(X1,X2),esk15_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(58,plain,
( isa(X1,X2)
| status(esk14_2(X1,X2),esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(73,negated_conjecture,
~ isa(eqv,thm),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(81,plain,
( model(X1,esk15_2(eqv,X2))
| isa(eqv,X2)
| ~ model(X1,esk14_2(eqv,X2)) ),
inference(spm,[status(thm)],[38,58,theory(equality)]) ).
cnf(117,plain,
( status(X1,esk15_2(eqv,X2),thm)
| isa(eqv,X2)
| ~ model(esk9_2(X1,esk15_2(eqv,X2)),esk14_2(eqv,X2)) ),
inference(spm,[status(thm)],[44,81,theory(equality)]) ).
cnf(390,plain,
( isa(eqv,X1)
| status(esk14_2(eqv,X1),esk15_2(eqv,X1),thm) ),
inference(spm,[status(thm)],[117,45,theory(equality)]) ).
cnf(411,plain,
isa(eqv,thm),
inference(spm,[status(thm)],[57,390,theory(equality)]) ).
cnf(412,plain,
$false,
inference(sr,[status(thm)],[411,73,theory(equality)]) ).
cnf(413,plain,
$false,
412,
[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/KRS186+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpWK4WPX/sel_KRS186+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/tmpWK4WPX/sel_KRS186+1.p_1']
% -prover status Theorem
% Problem KRS186+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS186+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS186+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
%
%------------------------------------------------------------------------------