%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU041+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 04:14:07 EST 2010
% Result : Theorem 0.20s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 66 ( 25 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 28 ~; 20 |; 13 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(9,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( subset(X1,X2)
=> relation_dom_restriction(relation_dom_restriction(X3,X1),X2) = relation_dom_restriction(X3,X1) ) ),
file('/tmp/tmpWRoTR_/sel_SEU041+1.p_1',t102_relat_1) ).
fof(21,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( subset(X1,X2)
=> relation_dom_restriction(relation_dom_restriction(X3,X2),X1) = relation_dom_restriction(X3,X1) ) ),
file('/tmp/tmpWRoTR_/sel_SEU041+1.p_1',t103_relat_1) ).
fof(25,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( subset(X1,X2)
=> ( relation_dom_restriction(relation_dom_restriction(X3,X1),X2) = relation_dom_restriction(X3,X1)
& relation_dom_restriction(relation_dom_restriction(X3,X2),X1) = relation_dom_restriction(X3,X1) ) ) ),
file('/tmp/tmpWRoTR_/sel_SEU041+1.p_1',t82_funct_1) ).
fof(35,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( subset(X1,X2)
=> ( relation_dom_restriction(relation_dom_restriction(X3,X1),X2) = relation_dom_restriction(X3,X1)
& relation_dom_restriction(relation_dom_restriction(X3,X2),X1) = relation_dom_restriction(X3,X1) ) ) ),
inference(assume_negation,[status(cth)],[25]) ).
fof(67,plain,
! [X1,X2,X3] :
( ~ relation(X3)
| ~ subset(X1,X2)
| relation_dom_restriction(relation_dom_restriction(X3,X1),X2) = relation_dom_restriction(X3,X1) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(68,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ subset(X4,X5)
| relation_dom_restriction(relation_dom_restriction(X6,X4),X5) = relation_dom_restriction(X6,X4) ),
inference(variable_rename,[status(thm)],[67]) ).
cnf(69,plain,
( relation_dom_restriction(relation_dom_restriction(X1,X2),X3) = relation_dom_restriction(X1,X2)
| ~ subset(X2,X3)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(108,plain,
! [X1,X2,X3] :
( ~ relation(X3)
| ~ subset(X1,X2)
| relation_dom_restriction(relation_dom_restriction(X3,X2),X1) = relation_dom_restriction(X3,X1) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(109,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ subset(X4,X5)
| relation_dom_restriction(relation_dom_restriction(X6,X5),X4) = relation_dom_restriction(X6,X4) ),
inference(variable_rename,[status(thm)],[108]) ).
cnf(110,plain,
( relation_dom_restriction(relation_dom_restriction(X1,X2),X3) = relation_dom_restriction(X1,X3)
| ~ subset(X3,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[109]) ).
fof(123,negated_conjecture,
? [X1,X2,X3] :
( relation(X3)
& function(X3)
& subset(X1,X2)
& ( relation_dom_restriction(relation_dom_restriction(X3,X1),X2) != relation_dom_restriction(X3,X1)
| relation_dom_restriction(relation_dom_restriction(X3,X2),X1) != relation_dom_restriction(X3,X1) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(124,negated_conjecture,
? [X4,X5,X6] :
( relation(X6)
& function(X6)
& subset(X4,X5)
& ( relation_dom_restriction(relation_dom_restriction(X6,X4),X5) != relation_dom_restriction(X6,X4)
| relation_dom_restriction(relation_dom_restriction(X6,X5),X4) != relation_dom_restriction(X6,X4) ) ),
inference(variable_rename,[status(thm)],[123]) ).
fof(125,negated_conjecture,
( relation(esk8_0)
& function(esk8_0)
& subset(esk6_0,esk7_0)
& ( relation_dom_restriction(relation_dom_restriction(esk8_0,esk6_0),esk7_0) != relation_dom_restriction(esk8_0,esk6_0)
| relation_dom_restriction(relation_dom_restriction(esk8_0,esk7_0),esk6_0) != relation_dom_restriction(esk8_0,esk6_0) ) ),
inference(skolemize,[status(esa)],[124]) ).
cnf(126,negated_conjecture,
( relation_dom_restriction(relation_dom_restriction(esk8_0,esk7_0),esk6_0) != relation_dom_restriction(esk8_0,esk6_0)
| relation_dom_restriction(relation_dom_restriction(esk8_0,esk6_0),esk7_0) != relation_dom_restriction(esk8_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(127,negated_conjecture,
subset(esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(129,negated_conjecture,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(185,negated_conjecture,
( relation_dom_restriction(relation_dom_restriction(X1,esk7_0),esk6_0) = relation_dom_restriction(X1,esk6_0)
| ~ relation(X1) ),
inference(spm,[status(thm)],[110,127,theory(equality)]) ).
cnf(187,negated_conjecture,
( relation_dom_restriction(relation_dom_restriction(X1,esk6_0),esk7_0) = relation_dom_restriction(X1,esk6_0)
| ~ relation(X1) ),
inference(spm,[status(thm)],[69,127,theory(equality)]) ).
cnf(245,negated_conjecture,
( relation_dom_restriction(relation_dom_restriction(esk8_0,esk6_0),esk7_0) != relation_dom_restriction(esk8_0,esk6_0)
| ~ relation(esk8_0) ),
inference(spm,[status(thm)],[126,185,theory(equality)]) ).
cnf(246,negated_conjecture,
( relation_dom_restriction(relation_dom_restriction(esk8_0,esk6_0),esk7_0) != relation_dom_restriction(esk8_0,esk6_0)
| $false ),
inference(rw,[status(thm)],[245,129,theory(equality)]) ).
cnf(247,negated_conjecture,
relation_dom_restriction(relation_dom_restriction(esk8_0,esk6_0),esk7_0) != relation_dom_restriction(esk8_0,esk6_0),
inference(cn,[status(thm)],[246,theory(equality)]) ).
cnf(258,negated_conjecture,
~ relation(esk8_0),
inference(spm,[status(thm)],[247,187,theory(equality)]) ).
cnf(263,negated_conjecture,
$false,
inference(rw,[status(thm)],[258,129,theory(equality)]) ).
cnf(264,negated_conjecture,
$false,
inference(cn,[status(thm)],[263,theory(equality)]) ).
cnf(265,negated_conjecture,
$false,
264,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU041+1.p
% --creating new selector for []
% -running prover on /tmp/tmpWRoTR_/sel_SEU041+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU041+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU041+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU041+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
%
%------------------------------------------------------------------------------