TSTP Solution File: SWW473+5 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWW473+5 : TPTP v5.3.0. Released v5.3.0.
% 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 @ 2800MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Nov 27 14:53:10 EST 2011
% Result : Theorem 28.35s
% Output : CNFRefutation 28.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 17 |; 7 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(19,axiom,
! [X1,X10,X4,X8] :
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X10),X4)),X8))
<=> ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X10),X8))
& hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X8)) ) ),
file('/tmp/tmpL_LEnJ/sel_SWW473+5.p_1',fact_84_insert__subset) ).
fof(61,axiom,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/tmp/tmpL_LEnJ/sel_SWW473+5.p_1',conj_1) ).
fof(86,conjecture,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/tmp/tmpL_LEnJ/sel_SWW473+5.p_1',conj_6) ).
fof(117,axiom,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
file('/tmp/tmpL_LEnJ/sel_SWW473+5.p_1',conj_4) ).
fof(141,axiom,
! [X12,X1,X31,X10,X4] :
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X10),X4))
=> hBOOL(hAPP(fun(X12,bool),bool,hAPP(X12,fun(fun(X12,bool),bool),member(X12),hAPP(X1,X12,X31,X10)),hAPP(fun(X1,bool),fun(X12,bool),hAPP(fun(X1,X12),fun(fun(X1,bool),fun(X12,bool)),image(X1,X12),X31),X4))) ),
file('/tmp/tmpL_LEnJ/sel_SWW473+5.p_1',fact_78_imageI) ).
fof(162,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(assume_negation,[status(cth)],[86]) ).
fof(171,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(fof_simplification,[status(thm)],[162,theory(equality)]) ).
fof(241,plain,
! [X1,X10,X4,X8] :
( ( ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X10),X4)),X8))
| ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X10),X8))
& hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X8)) ) )
& ( ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X10),X8))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X8))
| hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X10),X4)),X8)) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(242,plain,
! [X11,X12,X13,X14] :
( ( ~ hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),hAPP(fun(X11,bool),fun(X11,bool),hAPP(X11,fun(fun(X11,bool),fun(X11,bool)),insert(X11),X12),X13)),X14))
| ( hBOOL(hAPP(fun(X11,bool),bool,hAPP(X11,fun(fun(X11,bool),bool),member(X11),X12),X14))
& hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),X13),X14)) ) )
& ( ~ hBOOL(hAPP(fun(X11,bool),bool,hAPP(X11,fun(fun(X11,bool),bool),member(X11),X12),X14))
| ~ hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),X13),X14))
| hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),hAPP(fun(X11,bool),fun(X11,bool),hAPP(X11,fun(fun(X11,bool),fun(X11,bool)),insert(X11),X12),X13)),X14)) ) ),
inference(variable_rename,[status(thm)],[241]) ).
fof(243,plain,
! [X11,X12,X13,X14] :
( ( hBOOL(hAPP(fun(X11,bool),bool,hAPP(X11,fun(fun(X11,bool),bool),member(X11),X12),X14))
| ~ hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),hAPP(fun(X11,bool),fun(X11,bool),hAPP(X11,fun(fun(X11,bool),fun(X11,bool)),insert(X11),X12),X13)),X14)) )
& ( hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),X13),X14))
| ~ hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),hAPP(fun(X11,bool),fun(X11,bool),hAPP(X11,fun(fun(X11,bool),fun(X11,bool)),insert(X11),X12),X13)),X14)) )
& ( ~ hBOOL(hAPP(fun(X11,bool),bool,hAPP(X11,fun(fun(X11,bool),bool),member(X11),X12),X14))
| ~ hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),X13),X14))
| hBOOL(hAPP(fun(X11,bool),bool,hAPP(fun(X11,bool),fun(fun(X11,bool),bool),ord_less_eq(fun(X11,bool)),hAPP(fun(X11,bool),fun(X11,bool),hAPP(X11,fun(fun(X11,bool),fun(X11,bool)),insert(X11),X12),X13)),X14)) ) ),
inference(distribute,[status(thm)],[242]) ).
cnf(244,plain,
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)),X4))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4)) ),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(358,plain,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(428,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(split_conjunct,[status(thm)],[171]) ).
cnf(515,plain,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
inference(split_conjunct,[status(thm)],[117]) ).
fof(582,plain,
! [X12,X1,X31,X10,X4] :
( ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X10),X4))
| hBOOL(hAPP(fun(X12,bool),bool,hAPP(X12,fun(fun(X12,bool),bool),member(X12),hAPP(X1,X12,X31,X10)),hAPP(fun(X1,bool),fun(X12,bool),hAPP(fun(X1,X12),fun(fun(X1,bool),fun(X12,bool)),image(X1,X12),X31),X4))) ),
inference(fof_nnf,[status(thm)],[141]) ).
fof(583,plain,
! [X32,X33,X34,X35,X36] :
( ~ hBOOL(hAPP(fun(X33,bool),bool,hAPP(X33,fun(fun(X33,bool),bool),member(X33),X35),X36))
| hBOOL(hAPP(fun(X32,bool),bool,hAPP(X32,fun(fun(X32,bool),bool),member(X32),hAPP(X33,X32,X34,X35)),hAPP(fun(X33,bool),fun(X32,bool),hAPP(fun(X33,X32),fun(fun(X33,bool),fun(X32,bool)),image(X33,X32),X34),X36))) ),
inference(variable_rename,[status(thm)],[582]) ).
cnf(584,plain,
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)))
| ~ hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X5)) ),
inference(split_conjunct,[status(thm)],[583]) ).
cnf(2355,negated_conjecture,
( ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))
| ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ),
inference(spm,[status(thm)],[428,244,theory(equality)]) ).
cnf(2372,negated_conjecture,
( $false
| ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ),
inference(rw,[status(thm)],[2355,358,theory(equality)]) ).
cnf(2373,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(cn,[status(thm)],[2372,theory(equality)]) ).
cnf(192711,negated_conjecture,
~ hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
inference(spm,[status(thm)],[2373,584,theory(equality)]) ).
cnf(192719,negated_conjecture,
$false,
inference(rw,[status(thm)],[192711,515,theory(equality)]) ).
cnf(192720,negated_conjecture,
$false,
inference(cn,[status(thm)],[192719,theory(equality)]) ).
cnf(192721,negated_conjecture,
$false,
192720,
[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/SWW/SWW473+5.p
% --creating new selector for []
% -running prover on /tmp/tmpL_LEnJ/sel_SWW473+5.p_1 with time limit 29
% -running prover with command ['/davis/home/graph/tptp/Systems/SInE---0.4/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/tmp/tmpL_LEnJ/sel_SWW473+5.p_1']
% -prover status Theorem
% Problem SWW473+5.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SWW473+5.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SWW473+5.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
%
%------------------------------------------------------------------------------