TSTP Solution File: SEU223+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU223+3 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 05:56:10 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 172 ( 47 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 234 ( 96 ~; 94 |; 34 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 3 sgn 44 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
file('/tmp/tmp_0WHMy/sel_SEU223+3.p_1',fc4_funct_1) ).
fof(11,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
file('/tmp/tmp_0WHMy/sel_SEU223+3.p_1',t70_funct_1) ).
fof(25,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_dom_restriction(X3,X1)
<=> ( relation_dom(X2) = set_intersection2(relation_dom(X3),X1)
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/tmp/tmp_0WHMy/sel_SEU223+3.p_1',t68_funct_1) ).
fof(34,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/tmp/tmp_0WHMy/sel_SEU223+3.p_1',dt_k7_relat_1) ).
fof(40,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_dom_restriction(X3,X1)))
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(47,plain,
! [X1,X2] :
( ~ relation(X1)
| ~ function(X1)
| ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(48,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ( relation(relation_dom_restriction(X3,X4))
& function(relation_dom_restriction(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[47]) ).
fof(49,plain,
! [X3,X4] :
( ( relation(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ function(X3) )
& ( function(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ function(X3) ) ),
inference(distribute,[status(thm)],[48]) ).
cnf(50,plain,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(84,negated_conjecture,
? [X1,X2,X3] :
( relation(X3)
& function(X3)
& in(X2,relation_dom(relation_dom_restriction(X3,X1)))
& apply(relation_dom_restriction(X3,X1),X2) != apply(X3,X2) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(85,negated_conjecture,
? [X4,X5,X6] :
( relation(X6)
& function(X6)
& in(X5,relation_dom(relation_dom_restriction(X6,X4)))
& apply(relation_dom_restriction(X6,X4),X5) != apply(X6,X5) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,negated_conjecture,
( relation(esk7_0)
& function(esk7_0)
& in(esk6_0,relation_dom(relation_dom_restriction(esk7_0,esk5_0)))
& apply(relation_dom_restriction(esk7_0,esk5_0),esk6_0) != apply(esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[85]) ).
cnf(87,negated_conjecture,
apply(relation_dom_restriction(esk7_0,esk5_0),esk6_0) != apply(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(88,negated_conjecture,
in(esk6_0,relation_dom(relation_dom_restriction(esk7_0,esk5_0))),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(89,negated_conjecture,
function(esk7_0),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(90,negated_conjecture,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[86]) ).
fof(130,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ( ( X2 != relation_dom_restriction(X3,X1)
| ( relation_dom(X2) = set_intersection2(relation_dom(X3),X1)
& ! [X4] :
( ~ in(X4,relation_dom(X2))
| apply(X2,X4) = apply(X3,X4) ) ) )
& ( relation_dom(X2) != set_intersection2(relation_dom(X3),X1)
| ? [X4] :
( in(X4,relation_dom(X2))
& apply(X2,X4) != apply(X3,X4) )
| X2 = relation_dom_restriction(X3,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(131,plain,
! [X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| ( ( X6 != relation_dom_restriction(X7,X5)
| ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
& ! [X8] :
( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) ) ) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ? [X9] :
( in(X9,relation_dom(X6))
& apply(X6,X9) != apply(X7,X9) )
| X6 = relation_dom_restriction(X7,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[130]) ).
fof(132,plain,
! [X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ! [X7] :
( ~ relation(X7)
| ~ function(X7)
| ( ( X6 != relation_dom_restriction(X7,X5)
| ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
& ! [X8] :
( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) ) ) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ( in(esk9_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk9_3(X5,X6,X7)) != apply(X7,esk9_3(X5,X6,X7)) )
| X6 = relation_dom_restriction(X7,X5) ) ) ) ),
inference(skolemize,[status(esa)],[131]) ).
fof(133,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8) )
& relation_dom(X6) = set_intersection2(relation_dom(X7),X5) )
| X6 != relation_dom_restriction(X7,X5) )
& ( relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| ( in(esk9_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk9_3(X5,X6,X7)) != apply(X7,esk9_3(X5,X6,X7)) )
| X6 = relation_dom_restriction(X7,X5) ) )
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ),
inference(shift_quantors,[status(thm)],[132]) ).
fof(134,plain,
! [X5,X6,X7,X8] :
( ( ~ in(X8,relation_dom(X6))
| apply(X6,X8) = apply(X7,X8)
| X6 != relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( relation_dom(X6) = set_intersection2(relation_dom(X7),X5)
| X6 != relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk9_3(X5,X6,X7),relation_dom(X6))
| relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| X6 = relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) )
& ( apply(X6,esk9_3(X5,X6,X7)) != apply(X7,esk9_3(X5,X6,X7))
| relation_dom(X6) != set_intersection2(relation_dom(X7),X5)
| X6 = relation_dom_restriction(X7,X5)
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ) ),
inference(distribute,[status(thm)],[133]) ).
cnf(138,plain,
( apply(X1,X4) = apply(X2,X4)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| X1 != relation_dom_restriction(X2,X3)
| ~ in(X4,relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[134]) ).
fof(166,plain,
! [X1,X2] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(167,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[166]) ).
cnf(168,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(248,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ in(X3,relation_dom(relation_dom_restriction(X1,X2)))
| ~ function(X1)
| ~ function(relation_dom_restriction(X1,X2))
| ~ relation(X1)
| ~ relation(relation_dom_restriction(X1,X2)) ),
inference(er,[status(thm)],[138,theory(equality)]) ).
cnf(443,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ in(X3,relation_dom(relation_dom_restriction(X1,X2)))
| ~ function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[248,168]) ).
cnf(444,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ in(X3,relation_dom(relation_dom_restriction(X1,X2)))
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[443,50]) ).
cnf(445,negated_conjecture,
( ~ in(esk6_0,relation_dom(relation_dom_restriction(esk7_0,esk5_0)))
| ~ function(esk7_0)
| ~ relation(esk7_0) ),
inference(spm,[status(thm)],[87,444,theory(equality)]) ).
cnf(448,negated_conjecture,
( $false
| ~ function(esk7_0)
| ~ relation(esk7_0) ),
inference(rw,[status(thm)],[445,88,theory(equality)]) ).
cnf(449,negated_conjecture,
( $false
| $false
| ~ relation(esk7_0) ),
inference(rw,[status(thm)],[448,89,theory(equality)]) ).
cnf(450,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[449,90,theory(equality)]) ).
cnf(451,negated_conjecture,
$false,
inference(cn,[status(thm)],[450,theory(equality)]) ).
cnf(452,negated_conjecture,
$false,
451,
[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/SEU/SEU223+3.p
% --creating new selector for []
% -running prover on /tmp/tmp_0WHMy/sel_SEU223+3.p_1 with time limit 29
% -prover status Theorem
% Problem SEU223+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU223+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU223+3.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
%
%------------------------------------------------------------------------------