TSTP Solution File: SEU223+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU223+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 05:51:24 EST 2010
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 183 ( 50 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 248 ( 104 ~; 100 |; 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 : 62 ( 4 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/tmpQ0I2Sm/sel_SEU223+1.p_1',fc4_funct_1) ).
fof(9,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/tmpQ0I2Sm/sel_SEU223+1.p_1',t70_funct_1) ).
fof(22,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/tmpQ0I2Sm/sel_SEU223+1.p_1',t68_funct_1) ).
fof(30,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/tmp/tmpQ0I2Sm/sel_SEU223+1.p_1',dt_k7_relat_1) ).
fof(38,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)],[9]) ).
fof(43,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(44,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ( relation(relation_dom_restriction(X3,X4))
& function(relation_dom_restriction(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,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)],[44]) ).
cnf(46,plain,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(72,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)],[38]) ).
fof(73,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)],[72]) ).
fof(74,negated_conjecture,
( relation(esk6_0)
& function(esk6_0)
& in(esk5_0,relation_dom(relation_dom_restriction(esk6_0,esk4_0)))
& apply(relation_dom_restriction(esk6_0,esk4_0),esk5_0) != apply(esk6_0,esk5_0) ),
inference(skolemize,[status(esa)],[73]) ).
cnf(75,negated_conjecture,
apply(relation_dom_restriction(esk6_0,esk4_0),esk5_0) != apply(esk6_0,esk5_0),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(76,negated_conjecture,
in(esk5_0,relation_dom(relation_dom_restriction(esk6_0,esk4_0))),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(77,negated_conjecture,
function(esk6_0),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(78,negated_conjecture,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[74]) ).
fof(115,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)],[22]) ).
fof(116,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)],[115]) ).
fof(117,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)],[116]) ).
fof(118,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)],[117]) ).
fof(119,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)],[118]) ).
cnf(123,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)],[119]) ).
fof(146,plain,
! [X1,X2] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(147,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[146]) ).
cnf(148,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(208,negated_conjecture,
( apply(relation_dom_restriction(esk6_0,esk4_0),esk5_0) = apply(X1,esk5_0)
| relation_dom_restriction(X1,X2) != relation_dom_restriction(esk6_0,esk4_0)
| ~ function(X1)
| ~ function(relation_dom_restriction(esk6_0,esk4_0))
| ~ relation(X1)
| ~ relation(relation_dom_restriction(esk6_0,esk4_0)) ),
inference(spm,[status(thm)],[123,76,theory(equality)]) ).
cnf(665,negated_conjecture,
( apply(relation_dom_restriction(esk6_0,esk4_0),esk5_0) = apply(esk6_0,esk5_0)
| ~ function(relation_dom_restriction(esk6_0,esk4_0))
| ~ function(esk6_0)
| ~ relation(relation_dom_restriction(esk6_0,esk4_0))
| ~ relation(esk6_0) ),
inference(er,[status(thm)],[208,theory(equality)]) ).
cnf(669,negated_conjecture,
( apply(relation_dom_restriction(esk6_0,esk4_0),esk5_0) = apply(esk6_0,esk5_0)
| ~ function(relation_dom_restriction(esk6_0,esk4_0))
| $false
| ~ relation(relation_dom_restriction(esk6_0,esk4_0))
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[665,77,theory(equality)]) ).
cnf(670,negated_conjecture,
( apply(relation_dom_restriction(esk6_0,esk4_0),esk5_0) = apply(esk6_0,esk5_0)
| ~ function(relation_dom_restriction(esk6_0,esk4_0))
| $false
| ~ relation(relation_dom_restriction(esk6_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[669,78,theory(equality)]) ).
cnf(671,negated_conjecture,
( apply(relation_dom_restriction(esk6_0,esk4_0),esk5_0) = apply(esk6_0,esk5_0)
| ~ function(relation_dom_restriction(esk6_0,esk4_0))
| ~ relation(relation_dom_restriction(esk6_0,esk4_0)) ),
inference(cn,[status(thm)],[670,theory(equality)]) ).
cnf(672,negated_conjecture,
( ~ function(relation_dom_restriction(esk6_0,esk4_0))
| ~ relation(relation_dom_restriction(esk6_0,esk4_0)) ),
inference(sr,[status(thm)],[671,75,theory(equality)]) ).
cnf(674,negated_conjecture,
( ~ relation(relation_dom_restriction(esk6_0,esk4_0))
| ~ function(esk6_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[672,46,theory(equality)]) ).
cnf(675,negated_conjecture,
( ~ relation(relation_dom_restriction(esk6_0,esk4_0))
| $false
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[674,77,theory(equality)]) ).
cnf(676,negated_conjecture,
( ~ relation(relation_dom_restriction(esk6_0,esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[675,78,theory(equality)]) ).
cnf(677,negated_conjecture,
~ relation(relation_dom_restriction(esk6_0,esk4_0)),
inference(cn,[status(thm)],[676,theory(equality)]) ).
cnf(678,negated_conjecture,
~ relation(esk6_0),
inference(spm,[status(thm)],[677,148,theory(equality)]) ).
cnf(679,negated_conjecture,
$false,
inference(rw,[status(thm)],[678,78,theory(equality)]) ).
cnf(680,negated_conjecture,
$false,
inference(cn,[status(thm)],[679,theory(equality)]) ).
cnf(681,negated_conjecture,
$false,
680,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU223+1.p
% --creating new selector for []
% -running prover on /tmp/tmpQ0I2Sm/sel_SEU223+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU223+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU223+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU223+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
%
%------------------------------------------------------------------------------