TSTP Solution File: SYN151-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN151-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 16:57:58 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 5 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ n2(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN151-1.tptp',unknown),
[] ).
cnf(173409920,plain,
~ n2(d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN151-1.tptp',unknown),
[] ).
cnf(170716688,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN151-1.tptp',unknown),
[] ).
cnf(170175384,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN151-1.tptp',unknown),
[] ).
cnf(169113736,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(183143904,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[170175384,169113736]),
[] ).
cnf(185427400,plain,
n2(A),
inference(resolution,[status(thm)],[170716688,183143904]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[173409920,185427400]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~n2(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN151-1.tptp',unknown),[]).
%
% cnf(173409920,plain,(~n2(d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN151-1.tptp',unknown),[]).
%
% cnf(170716688,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN151-1.tptp',unknown),[]).
%
% cnf(170175384,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN151-1.tptp',unknown),[]).
%
% cnf(169113736,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(183143904,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[170175384,169113736]),[]).
%
% cnf(185427400,plain,(n2(A)),inference(resolution,[status(thm)],[170716688,183143904]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173409920,185427400]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------