TSTP Solution File: SEU037+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU037+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 04:13:24 EST 2010
% Result : Theorem 0.66s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 52 ( 14 unt; 0 def)
% Number of atoms : 218 ( 59 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 289 ( 123 ~; 122 |; 34 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 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 : 79 ( 4 sgn 48 !; 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/tmp1KI8Ov/sel_SEU037+1.p_1',fc4_funct_1) ).
fof(22,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,set_intersection2(relation_dom(X3),X1))
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
file('/tmp/tmp1KI8Ov/sel_SEU037+1.p_1',t71_funct_1) ).
fof(26,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/tmp1KI8Ov/sel_SEU037+1.p_1',t68_funct_1) ).
fof(28,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/tmp/tmp1KI8Ov/sel_SEU037+1.p_1',commutativity_k3_xboole_0) ).
fof(34,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/tmp/tmp1KI8Ov/sel_SEU037+1.p_1',dt_k7_relat_1) ).
fof(40,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,set_intersection2(relation_dom(X3),X1))
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
inference(assume_negation,[status(cth)],[22]) ).
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(119,negated_conjecture,
? [X1,X2,X3] :
( relation(X3)
& function(X3)
& in(X2,set_intersection2(relation_dom(X3),X1))
& apply(relation_dom_restriction(X3,X1),X2) != apply(X3,X2) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(120,negated_conjecture,
? [X4,X5,X6] :
( relation(X6)
& function(X6)
& in(X5,set_intersection2(relation_dom(X6),X4))
& apply(relation_dom_restriction(X6,X4),X5) != apply(X6,X5) ),
inference(variable_rename,[status(thm)],[119]) ).
fof(121,negated_conjecture,
( relation(esk9_0)
& function(esk9_0)
& in(esk8_0,set_intersection2(relation_dom(esk9_0),esk7_0))
& apply(relation_dom_restriction(esk9_0,esk7_0),esk8_0) != apply(esk9_0,esk8_0) ),
inference(skolemize,[status(esa)],[120]) ).
cnf(122,negated_conjecture,
apply(relation_dom_restriction(esk9_0,esk7_0),esk8_0) != apply(esk9_0,esk8_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(123,negated_conjecture,
in(esk8_0,set_intersection2(relation_dom(esk9_0),esk7_0)),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(124,negated_conjecture,
function(esk9_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(125,negated_conjecture,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[121]) ).
fof(137,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)],[26]) ).
fof(138,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)],[137]) ).
fof(139,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(esk10_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk10_3(X5,X6,X7)) != apply(X7,esk10_3(X5,X6,X7)) )
| X6 = relation_dom_restriction(X7,X5) ) ) ) ),
inference(skolemize,[status(esa)],[138]) ).
fof(140,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(esk10_3(X5,X6,X7),relation_dom(X6))
& apply(X6,esk10_3(X5,X6,X7)) != apply(X7,esk10_3(X5,X6,X7)) )
| X6 = relation_dom_restriction(X7,X5) ) )
| ~ relation(X7)
| ~ function(X7)
| ~ relation(X6)
| ~ function(X6) ),
inference(shift_quantors,[status(thm)],[139]) ).
fof(141,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(esk10_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,esk10_3(X5,X6,X7)) != apply(X7,esk10_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)],[140]) ).
cnf(144,plain,
( relation_dom(X1) = set_intersection2(relation_dom(X2),X3)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| X1 != relation_dom_restriction(X2,X3) ),
inference(split_conjunct,[status(thm)],[141]) ).
cnf(145,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)],[141]) ).
fof(150,plain,
! [X3,X4] : set_intersection2(X3,X4) = set_intersection2(X4,X3),
inference(variable_rename,[status(thm)],[28]) ).
cnf(151,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[150]) ).
fof(167,plain,
! [X1,X2] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(168,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[167]) ).
cnf(169,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(217,negated_conjecture,
in(esk8_0,set_intersection2(esk7_0,relation_dom(esk9_0))),
inference(rw,[status(thm)],[123,151,theory(equality)]) ).
cnf(247,plain,
( set_intersection2(relation_dom(X1),X2) = 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)],[144,theory(equality)]) ).
cnf(427,plain,
( set_intersection2(relation_dom(X1),X2) = relation_dom(relation_dom_restriction(X1,X2))
| ~ function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[247,169]) ).
cnf(428,plain,
( set_intersection2(relation_dom(X1),X2) = relation_dom(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[427,50]) ).
cnf(431,plain,
( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(X2,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[151,428,theory(equality)]) ).
cnf(547,negated_conjecture,
( in(esk8_0,relation_dom(relation_dom_restriction(esk9_0,esk7_0)))
| ~ function(esk9_0)
| ~ relation(esk9_0) ),
inference(spm,[status(thm)],[217,431,theory(equality)]) ).
cnf(564,negated_conjecture,
( in(esk8_0,relation_dom(relation_dom_restriction(esk9_0,esk7_0)))
| $false
| ~ relation(esk9_0) ),
inference(rw,[status(thm)],[547,124,theory(equality)]) ).
cnf(565,negated_conjecture,
( in(esk8_0,relation_dom(relation_dom_restriction(esk9_0,esk7_0)))
| $false
| $false ),
inference(rw,[status(thm)],[564,125,theory(equality)]) ).
cnf(566,negated_conjecture,
in(esk8_0,relation_dom(relation_dom_restriction(esk9_0,esk7_0))),
inference(cn,[status(thm)],[565,theory(equality)]) ).
cnf(601,negated_conjecture,
( apply(relation_dom_restriction(esk9_0,esk7_0),esk8_0) = apply(X1,esk8_0)
| relation_dom_restriction(X1,X2) != relation_dom_restriction(esk9_0,esk7_0)
| ~ function(X1)
| ~ function(relation_dom_restriction(esk9_0,esk7_0))
| ~ relation(X1)
| ~ relation(relation_dom_restriction(esk9_0,esk7_0)) ),
inference(spm,[status(thm)],[145,566,theory(equality)]) ).
cnf(11956,negated_conjecture,
( apply(relation_dom_restriction(esk9_0,esk7_0),esk8_0) = apply(esk9_0,esk8_0)
| ~ function(relation_dom_restriction(esk9_0,esk7_0))
| ~ function(esk9_0)
| ~ relation(relation_dom_restriction(esk9_0,esk7_0))
| ~ relation(esk9_0) ),
inference(er,[status(thm)],[601,theory(equality)]) ).
cnf(11983,negated_conjecture,
( apply(relation_dom_restriction(esk9_0,esk7_0),esk8_0) = apply(esk9_0,esk8_0)
| ~ function(relation_dom_restriction(esk9_0,esk7_0))
| $false
| ~ relation(relation_dom_restriction(esk9_0,esk7_0))
| ~ relation(esk9_0) ),
inference(rw,[status(thm)],[11956,124,theory(equality)]) ).
cnf(11984,negated_conjecture,
( apply(relation_dom_restriction(esk9_0,esk7_0),esk8_0) = apply(esk9_0,esk8_0)
| ~ function(relation_dom_restriction(esk9_0,esk7_0))
| $false
| ~ relation(relation_dom_restriction(esk9_0,esk7_0))
| $false ),
inference(rw,[status(thm)],[11983,125,theory(equality)]) ).
cnf(11985,negated_conjecture,
( apply(relation_dom_restriction(esk9_0,esk7_0),esk8_0) = apply(esk9_0,esk8_0)
| ~ function(relation_dom_restriction(esk9_0,esk7_0))
| ~ relation(relation_dom_restriction(esk9_0,esk7_0)) ),
inference(cn,[status(thm)],[11984,theory(equality)]) ).
cnf(11986,negated_conjecture,
( ~ function(relation_dom_restriction(esk9_0,esk7_0))
| ~ relation(relation_dom_restriction(esk9_0,esk7_0)) ),
inference(sr,[status(thm)],[11985,122,theory(equality)]) ).
cnf(12028,negated_conjecture,
( ~ relation(relation_dom_restriction(esk9_0,esk7_0))
| ~ function(esk9_0)
| ~ relation(esk9_0) ),
inference(spm,[status(thm)],[11986,50,theory(equality)]) ).
cnf(12031,negated_conjecture,
( ~ relation(relation_dom_restriction(esk9_0,esk7_0))
| $false
| ~ relation(esk9_0) ),
inference(rw,[status(thm)],[12028,124,theory(equality)]) ).
cnf(12032,negated_conjecture,
( ~ relation(relation_dom_restriction(esk9_0,esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[12031,125,theory(equality)]) ).
cnf(12033,negated_conjecture,
~ relation(relation_dom_restriction(esk9_0,esk7_0)),
inference(cn,[status(thm)],[12032,theory(equality)]) ).
cnf(12040,negated_conjecture,
~ relation(esk9_0),
inference(spm,[status(thm)],[12033,169,theory(equality)]) ).
cnf(12043,negated_conjecture,
$false,
inference(rw,[status(thm)],[12040,125,theory(equality)]) ).
cnf(12044,negated_conjecture,
$false,
inference(cn,[status(thm)],[12043,theory(equality)]) ).
cnf(12045,negated_conjecture,
$false,
12044,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU037+1.p
% --creating new selector for []
% -running prover on /tmp/tmp1KI8Ov/sel_SEU037+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU037+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU037+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU037+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
%
%------------------------------------------------------------------------------