TSTP Solution File: SYN722+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SYN722+1 : TPTP v5.0.0. Released v2.5.0.
% 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 13:54:32 EST 2010
% Result : Theorem 0.16s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 2 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 126 ( 53 ~; 52 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 22 ( 2 sgn 14 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ( ! [X1] :
( ( p(X1)
| r(X1) )
& q(X1) )
& ! [X2] :
? [X3] :
( p(X2)
| ~ q(X2)
| ~ q(X3)
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ),
file('/tmp/tmp7CPACf/sel_SYN722+1.p_1',thm119) ).
fof(2,negated_conjecture,
~ ~ ( ! [X1] :
( ( p(X1)
| r(X1) )
& q(X1) )
& ! [X2] :
? [X3] :
( p(X2)
| ~ q(X2)
| ~ q(X3)
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(3,negated_conjecture,
~ ~ ( ! [X1] :
( ( p(X1)
| r(X1) )
& q(X1) )
& ! [X2] :
? [X3] :
( p(X2)
| ~ q(X2)
| ~ q(X3)
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(4,negated_conjecture,
( ! [X1] :
( ( p(X1)
| r(X1) )
& q(X1) )
& ! [X2] :
? [X3] :
( p(X2)
| ~ q(X2)
| ~ q(X3)
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(5,negated_conjecture,
( ! [X4] :
( ( p(X4)
| r(X4) )
& q(X4) )
& ! [X5] :
? [X6] :
( p(X5)
| ~ q(X5)
| ~ q(X6)
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ),
inference(variable_rename,[status(thm)],[4]) ).
fof(6,negated_conjecture,
( ! [X4] :
( ( p(X4)
| r(X4) )
& q(X4) )
& ! [X5] :
( p(X5)
| ~ q(X5)
| ~ q(esk1_1(X5))
| ~ q(c)
| ~ q(d) )
& ( ~ p(a)
| ~ p(b) ) ),
inference(skolemize,[status(esa)],[5]) ).
fof(7,negated_conjecture,
! [X4,X5] :
( ( p(X5)
| ~ q(X5)
| ~ q(esk1_1(X5))
| ~ q(c)
| ~ q(d) )
& ( p(X4)
| r(X4) )
& q(X4)
& ( ~ p(a)
| ~ p(b) ) ),
inference(shift_quantors,[status(thm)],[6]) ).
cnf(8,negated_conjecture,
( ~ p(b)
| ~ p(a) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(9,negated_conjecture,
q(X1),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(11,negated_conjecture,
( p(X1)
| ~ q(d)
| ~ q(c)
| ~ q(esk1_1(X1))
| ~ q(X1) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(12,negated_conjecture,
( p(X1)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11,9,theory(equality)]),9,theory(equality)]),9,theory(equality)]),9,theory(equality)]),
[unfolding] ).
cnf(14,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8,12,theory(equality)]),12,theory(equality)]),
[unfolding] ).
cnf(15,negated_conjecture,
$false,
14,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN722+1.p
% --creating new selector for []
% -running prover on /tmp/tmp7CPACf/sel_SYN722+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN722+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN722+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN722+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
%
%------------------------------------------------------------------------------