TSTP Solution File: SEU161+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU161+3 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 04:57:19 EST 2010
% Result : Theorem 0.16s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 30 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 4 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/tmp/tmpQIEFNW/sel_SEU161+3.p_1',commutativity_k2_xboole_0) ).
fof(8,axiom,
! [X1,X2] :
( in(X1,X2)
=> set_union2(singleton(X1),X2) = X2 ),
file('/tmp/tmpQIEFNW/sel_SEU161+3.p_1',l23_zfmisc_1) ).
fof(9,conjecture,
! [X1,X2] :
( in(X1,X2)
=> set_union2(singleton(X1),X2) = X2 ),
file('/tmp/tmpQIEFNW/sel_SEU161+3.p_1',t46_zfmisc_1) ).
fof(10,negated_conjecture,
~ ! [X1,X2] :
( in(X1,X2)
=> set_union2(singleton(X1),X2) = X2 ),
inference(assume_negation,[status(cth)],[9]) ).
fof(21,plain,
! [X3,X4] : set_union2(X3,X4) = set_union2(X4,X3),
inference(variable_rename,[status(thm)],[3]) ).
cnf(22,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[21]) ).
fof(34,plain,
! [X1,X2] :
( ~ in(X1,X2)
| set_union2(singleton(X1),X2) = X2 ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(35,plain,
! [X3,X4] :
( ~ in(X3,X4)
| set_union2(singleton(X3),X4) = X4 ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,plain,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(37,negated_conjecture,
? [X1,X2] :
( in(X1,X2)
& set_union2(singleton(X1),X2) != X2 ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(38,negated_conjecture,
? [X3,X4] :
( in(X3,X4)
& set_union2(singleton(X3),X4) != X4 ),
inference(variable_rename,[status(thm)],[37]) ).
fof(39,negated_conjecture,
( in(esk3_0,esk4_0)
& set_union2(singleton(esk3_0),esk4_0) != esk4_0 ),
inference(skolemize,[status(esa)],[38]) ).
cnf(40,negated_conjecture,
set_union2(singleton(esk3_0),esk4_0) != esk4_0,
inference(split_conjunct,[status(thm)],[39]) ).
cnf(41,negated_conjecture,
in(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(46,plain,
( X2 = set_union2(X2,singleton(X1))
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[22,36,theory(equality)]) ).
cnf(52,negated_conjecture,
set_union2(esk4_0,singleton(esk3_0)) != esk4_0,
inference(rw,[status(thm)],[40,22,theory(equality)]) ).
cnf(60,negated_conjecture,
~ in(esk3_0,esk4_0),
inference(spm,[status(thm)],[52,46,theory(equality)]) ).
cnf(64,negated_conjecture,
$false,
inference(rw,[status(thm)],[60,41,theory(equality)]) ).
cnf(65,negated_conjecture,
$false,
inference(cn,[status(thm)],[64,theory(equality)]) ).
cnf(66,negated_conjecture,
$false,
65,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU161+3.p
% --creating new selector for []
% -running prover on /tmp/tmpQIEFNW/sel_SEU161+3.p_1 with time limit 29
% -prover status Theorem
% Problem SEU161+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU161+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU161+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
%
%------------------------------------------------------------------------------