TSTP Solution File: SET642+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET642+3 : TPTP v5.0.0. Released v2.2.0.
% 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 03:11:06 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 164 ( 62 ~; 68 |; 15 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 84 ( 1 sgn 38 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( subset(X1,cross_product(X2,X3))
=> ilf_type(X1,relation_type(X2,X3)) ) ) ) ),
file('/tmp/tmpVPSjcH/sel_SET642+3.p_1',p2) ).
fof(3,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X2,X3))
=> ( subset(X1,X4)
=> subset(X1,cross_product(X2,X3)) ) ) ) ) ),
file('/tmp/tmpVPSjcH/sel_SET642+3.p_1',p1) ).
fof(19,axiom,
! [X1] : ilf_type(X1,set_type),
file('/tmp/tmpVPSjcH/sel_SET642+3.p_1',p19) ).
fof(20,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X2,X3))
=> ( subset(X1,X4)
=> ilf_type(X1,relation_type(X2,X3)) ) ) ) ) ),
file('/tmp/tmpVPSjcH/sel_SET642+3.p_1',prove_relset_1_4) ).
fof(21,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X2,X3))
=> ( subset(X1,X4)
=> ilf_type(X1,relation_type(X2,X3)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[20]) ).
fof(26,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ subset(X1,cross_product(X2,X3))
| ilf_type(X1,relation_type(X2,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(27,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ~ subset(X4,cross_product(X5,X6))
| ilf_type(X4,relation_type(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[26]) ).
fof(28,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,set_type)
| ~ subset(X4,cross_product(X5,X6))
| ilf_type(X4,relation_type(X5,X6))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[27]) ).
cnf(29,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,cross_product(X2,X3))
| ~ ilf_type(X3,set_type) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(36,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ ilf_type(X4,relation_type(X2,X3))
| ~ subset(X1,X4)
| subset(X1,cross_product(X2,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(37,plain,
! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ! [X7] :
( ~ ilf_type(X7,set_type)
| ! [X8] :
( ~ ilf_type(X8,relation_type(X6,X7))
| ~ subset(X5,X8)
| subset(X5,cross_product(X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X8,relation_type(X6,X7))
| ~ subset(X5,X8)
| subset(X5,cross_product(X6,X7))
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ),
inference(shift_quantors,[status(thm)],[37]) ).
cnf(39,plain,
( subset(X1,cross_product(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(125,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[19]) ).
cnf(126,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[125]) ).
fof(127,negated_conjecture,
? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( ilf_type(X4,relation_type(X2,X3))
& subset(X1,X4)
& ~ ilf_type(X1,relation_type(X2,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(128,negated_conjecture,
? [X5] :
( ilf_type(X5,set_type)
& ? [X6] :
( ilf_type(X6,set_type)
& ? [X7] :
( ilf_type(X7,set_type)
& ? [X8] :
( ilf_type(X8,relation_type(X6,X7))
& subset(X5,X8)
& ~ ilf_type(X5,relation_type(X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[127]) ).
fof(129,negated_conjecture,
( ilf_type(esk10_0,set_type)
& ilf_type(esk11_0,set_type)
& ilf_type(esk12_0,set_type)
& ilf_type(esk13_0,relation_type(esk11_0,esk12_0))
& subset(esk10_0,esk13_0)
& ~ ilf_type(esk10_0,relation_type(esk11_0,esk12_0)) ),
inference(skolemize,[status(esa)],[128]) ).
cnf(130,negated_conjecture,
~ ilf_type(esk10_0,relation_type(esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(131,negated_conjecture,
subset(esk10_0,esk13_0),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(132,negated_conjecture,
ilf_type(esk13_0,relation_type(esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(229,plain,
( ilf_type(X1,relation_type(X2,X3))
| $false
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,cross_product(X2,X3)) ),
inference(rw,[status(thm)],[29,126,theory(equality)]) ).
cnf(230,plain,
( ilf_type(X1,relation_type(X2,X3))
| $false
| $false
| ~ ilf_type(X1,set_type)
| ~ subset(X1,cross_product(X2,X3)) ),
inference(rw,[status(thm)],[229,126,theory(equality)]) ).
cnf(231,plain,
( ilf_type(X1,relation_type(X2,X3))
| $false
| $false
| $false
| ~ subset(X1,cross_product(X2,X3)) ),
inference(rw,[status(thm)],[230,126,theory(equality)]) ).
cnf(232,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ subset(X1,cross_product(X2,X3)) ),
inference(cn,[status(thm)],[231,theory(equality)]) ).
cnf(269,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| $false
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(rw,[status(thm)],[39,126,theory(equality)]) ).
cnf(270,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| $false
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(rw,[status(thm)],[269,126,theory(equality)]) ).
cnf(271,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| $false
| $false
| $false
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(rw,[status(thm)],[270,126,theory(equality)]) ).
cnf(272,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[271,theory(equality)]) ).
cnf(273,negated_conjecture,
( subset(X1,cross_product(esk11_0,esk12_0))
| ~ subset(X1,esk13_0) ),
inference(spm,[status(thm)],[272,132,theory(equality)]) ).
cnf(281,negated_conjecture,
( ilf_type(X1,relation_type(esk11_0,esk12_0))
| ~ subset(X1,esk13_0) ),
inference(spm,[status(thm)],[232,273,theory(equality)]) ).
cnf(283,negated_conjecture,
~ subset(esk10_0,esk13_0),
inference(spm,[status(thm)],[130,281,theory(equality)]) ).
cnf(285,negated_conjecture,
$false,
inference(rw,[status(thm)],[283,131,theory(equality)]) ).
cnf(286,negated_conjecture,
$false,
inference(cn,[status(thm)],[285,theory(equality)]) ).
cnf(287,negated_conjecture,
$false,
286,
[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/SET/SET642+3.p
% --creating new selector for []
% -running prover on /tmp/tmpVPSjcH/sel_SET642+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET642+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET642+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET642+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
%
%------------------------------------------------------------------------------