TSTP Solution File: SYN220-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN220-1 : 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 17:17:56 EDT 2009
% Result : Unsatisfiable 0.5s
% Output : Refutation 0.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 23 ( 7 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),
[] ).
cnf(156696144,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/SYN220-1.tptp',unknown),
[] ).
cnf(156154840,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/SYN220-1.tptp',unknown),
[] ).
cnf(155093192,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(169131584,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[156154840,155093192]),
[] ).
cnf(172573376,plain,
n2(A),
inference(resolution,[status(thm)],[156696144,169131584]),
[] ).
fof(rule_136,plain,
( m2(b)
| ~ k1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),
[] ).
cnf(156683080,plain,
( m2(b)
| ~ k1(b) ),
inference(rewrite,[status(thm)],[rule_136]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),
[] ).
cnf(155052880,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),
[] ).
cnf(155213456,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(172107400,plain,
k1(b),
inference(resolution,[status(thm)],[155052880,155213456]),
[] ).
cnf(172159240,plain,
m2(b),
inference(resolution,[status(thm)],[156683080,172107400]),
[] ).
fof(rule_217,plain,
! [A] :
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),
[] ).
cnf(157783152,plain,
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
inference(rewrite,[status(thm)],[rule_217]),
[] ).
cnf(174332960,plain,
l3(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172573376,172159240,157783152]),
[] ).
fof(prove_this,plain,
! [A] : ~ l3(A,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),
[] ).
cnf(159389544,plain,
~ l3(A,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174332960,159389544]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),[]).
%
% cnf(156696144,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/SYN220-1.tptp',unknown),[]).
%
% cnf(156154840,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/SYN220-1.tptp',unknown),[]).
%
% cnf(155093192,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(169131584,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[156154840,155093192]),[]).
%
% cnf(172573376,plain,(n2(A)),inference(resolution,[status(thm)],[156696144,169131584]),[]).
%
% fof(rule_136,plain,(m2(b)|~k1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),[]).
%
% cnf(156683080,plain,(m2(b)|~k1(b)),inference(rewrite,[status(thm)],[rule_136]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),[]).
%
% cnf(155052880,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),[]).
%
% cnf(155213456,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(172107400,plain,(k1(b)),inference(resolution,[status(thm)],[155052880,155213456]),[]).
%
% cnf(172159240,plain,(m2(b)),inference(resolution,[status(thm)],[156683080,172107400]),[]).
%
% fof(rule_217,plain,(l3(A,A)|~n2(A)|~m2(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),[]).
%
% cnf(157783152,plain,(l3(A,A)|~n2(A)|~m2(b)),inference(rewrite,[status(thm)],[rule_217]),[]).
%
% cnf(174332960,plain,(l3(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172573376,172159240,157783152]),[]).
%
% fof(prove_this,plain,(~l3(A,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN220-1.tptp',unknown),[]).
%
% cnf(159389544,plain,(~l3(A,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174332960,159389544]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------