TSTP Solution File: SYN292-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN292-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 17:46:00 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 2 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ q1(d,b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),
[] ).
cnf(175144136,plain,
~ q1(d,b,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_095,plain,
! [A,B] :
( q1(A,B,B)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),
[] ).
cnf(173958064,plain,
( q1(A,B,B)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_095]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),
[] ).
cnf(172812472,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(187255960,plain,
q1(A,b,b),
inference(resolution,[status(thm)],[173958064,172812472]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[175144136,187255960]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~q1(d,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),[]).
%
% cnf(175144136,plain,(~q1(d,b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_095,plain,(q1(A,B,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),[]).
%
% cnf(173958064,plain,(q1(A,B,B)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_095]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN292-1.tptp',unknown),[]).
%
% cnf(172812472,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(187255960,plain,(q1(A,b,b)),inference(resolution,[status(thm)],[173958064,172812472]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[175144136,187255960]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------