TSTP Solution File: SEU096+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU096+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 04:35:06 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 91 ( 8 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 94 ( 32 ~; 36 |; 19 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& finite(X2) )
=> finite(relation_image(X1,X2)) ),
file('/tmp/tmpWFAC64/sel_SEU096+1.p_1',fc13_finset_1) ).
fof(11,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( subset(X1,relation_rng(X2))
=> relation_image(X2,relation_inverse_image(X2,X1)) = X1 ) ),
file('/tmp/tmpWFAC64/sel_SEU096+1.p_1',t147_funct_1) ).
fof(56,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(X1,relation_rng(X2))
& finite(relation_inverse_image(X2,X1)) )
=> finite(X1) ) ),
file('/tmp/tmpWFAC64/sel_SEU096+1.p_1',t27_finset_1) ).
fof(61,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(X1,relation_rng(X2))
& finite(relation_inverse_image(X2,X1)) )
=> finite(X1) ) ),
inference(assume_negation,[status(cth)],[56]) ).
fof(74,plain,
! [X1,X2] :
( ~ relation(X1)
| ~ function(X1)
| ~ finite(X2)
| finite(relation_image(X1,X2)) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(75,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ finite(X4)
| finite(relation_image(X3,X4)) ),
inference(variable_rename,[status(thm)],[74]) ).
cnf(76,plain,
( finite(relation_image(X1,X2))
| ~ finite(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[75]) ).
fof(116,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ~ subset(X1,relation_rng(X2))
| relation_image(X2,relation_inverse_image(X2,X1)) = X1 ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(117,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ function(X4)
| ~ subset(X3,relation_rng(X4))
| relation_image(X4,relation_inverse_image(X4,X3)) = X3 ),
inference(variable_rename,[status(thm)],[116]) ).
cnf(118,plain,
( relation_image(X1,relation_inverse_image(X1,X2)) = X2
| ~ subset(X2,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[117]) ).
fof(315,negated_conjecture,
? [X1,X2] :
( relation(X2)
& function(X2)
& subset(X1,relation_rng(X2))
& finite(relation_inverse_image(X2,X1))
& ~ finite(X1) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(316,negated_conjecture,
? [X3,X4] :
( relation(X4)
& function(X4)
& subset(X3,relation_rng(X4))
& finite(relation_inverse_image(X4,X3))
& ~ finite(X3) ),
inference(variable_rename,[status(thm)],[315]) ).
fof(317,negated_conjecture,
( relation(esk25_0)
& function(esk25_0)
& subset(esk24_0,relation_rng(esk25_0))
& finite(relation_inverse_image(esk25_0,esk24_0))
& ~ finite(esk24_0) ),
inference(skolemize,[status(esa)],[316]) ).
cnf(318,negated_conjecture,
~ finite(esk24_0),
inference(split_conjunct,[status(thm)],[317]) ).
cnf(319,negated_conjecture,
finite(relation_inverse_image(esk25_0,esk24_0)),
inference(split_conjunct,[status(thm)],[317]) ).
cnf(320,negated_conjecture,
subset(esk24_0,relation_rng(esk25_0)),
inference(split_conjunct,[status(thm)],[317]) ).
cnf(321,negated_conjecture,
function(esk25_0),
inference(split_conjunct,[status(thm)],[317]) ).
cnf(322,negated_conjecture,
relation(esk25_0),
inference(split_conjunct,[status(thm)],[317]) ).
cnf(634,negated_conjecture,
( relation_image(esk25_0,relation_inverse_image(esk25_0,esk24_0)) = esk24_0
| ~ function(esk25_0)
| ~ relation(esk25_0) ),
inference(spm,[status(thm)],[118,320,theory(equality)]) ).
cnf(638,negated_conjecture,
( relation_image(esk25_0,relation_inverse_image(esk25_0,esk24_0)) = esk24_0
| $false
| ~ relation(esk25_0) ),
inference(rw,[status(thm)],[634,321,theory(equality)]) ).
cnf(639,negated_conjecture,
( relation_image(esk25_0,relation_inverse_image(esk25_0,esk24_0)) = esk24_0
| $false
| $false ),
inference(rw,[status(thm)],[638,322,theory(equality)]) ).
cnf(640,negated_conjecture,
relation_image(esk25_0,relation_inverse_image(esk25_0,esk24_0)) = esk24_0,
inference(cn,[status(thm)],[639,theory(equality)]) ).
cnf(662,negated_conjecture,
( finite(esk24_0)
| ~ finite(relation_inverse_image(esk25_0,esk24_0))
| ~ function(esk25_0)
| ~ relation(esk25_0) ),
inference(spm,[status(thm)],[76,640,theory(equality)]) ).
cnf(663,negated_conjecture,
( finite(esk24_0)
| $false
| ~ function(esk25_0)
| ~ relation(esk25_0) ),
inference(rw,[status(thm)],[662,319,theory(equality)]) ).
cnf(664,negated_conjecture,
( finite(esk24_0)
| $false
| $false
| ~ relation(esk25_0) ),
inference(rw,[status(thm)],[663,321,theory(equality)]) ).
cnf(665,negated_conjecture,
( finite(esk24_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[664,322,theory(equality)]) ).
cnf(666,negated_conjecture,
finite(esk24_0),
inference(cn,[status(thm)],[665,theory(equality)]) ).
cnf(667,negated_conjecture,
$false,
inference(sr,[status(thm)],[666,318,theory(equality)]) ).
cnf(668,negated_conjecture,
$false,
667,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU096+1.p
% --creating new selector for []
% -running prover on /tmp/tmpWFAC64/sel_SEU096+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU096+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU096+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU096+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
%
%------------------------------------------------------------------------------