TSTP Solution File: SYN227-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN227-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 17:18:20 EDT 2009
% Result : Unsatisfiable 0.5s
% Output : Refutation 0.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),
[] ).
cnf(156408696,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
fof(rule_215,plain,
! [A,B] :
( l3(A,B)
| ~ r0(A)
| ~ p2(A,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),
[] ).
cnf(159099928,plain,
( l3(A,B)
| ~ r0(A)
| ~ p2(A,B,A) ),
inference(rewrite,[status(thm)],[rule_215]),
[] ).
fof(rule_021,plain,
! [A,B] :
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),
[] ).
cnf(156789512,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),
[] ).
cnf(156524224,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(175213560,plain,
( m1(A,b,A)
| ~ l0(A) ),
inference(resolution,[status(thm)],[156789512,156524224]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),
[] ).
cnf(156481992,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(175242384,plain,
m1(c,b,c),
inference(resolution,[status(thm)],[175213560,156481992]),
[] ).
fof(rule_176,plain,
! [A,B] :
( p2(A,B,A)
| ~ m1(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),
[] ).
cnf(158569576,plain,
( p2(A,B,A)
| ~ m1(B,A,B) ),
inference(rewrite,[status(thm)],[rule_176]),
[] ).
cnf(175312280,plain,
p2(b,c,b),
inference(resolution,[status(thm)],[175242384,158569576]),
[] ).
cnf(177168864,plain,
l3(b,c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[156408696,159099928,175312280]),
[] ).
fof(prove_this,plain,
~ l3(b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),
[] ).
cnf(160732976,plain,
~ l3(b,c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[177168864,160732976]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),[]).
%
% cnf(156408696,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% fof(rule_215,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),[]).
%
% cnf(159099928,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),inference(rewrite,[status(thm)],[rule_215]),[]).
%
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),[]).
%
% cnf(156789512,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),[]).
%
% cnf(156524224,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(175213560,plain,(m1(A,b,A)|~l0(A)),inference(resolution,[status(thm)],[156789512,156524224]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),[]).
%
% cnf(156481992,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(175242384,plain,(m1(c,b,c)),inference(resolution,[status(thm)],[175213560,156481992]),[]).
%
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),[]).
%
% cnf(158569576,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
%
% cnf(175312280,plain,(p2(b,c,b)),inference(resolution,[status(thm)],[175242384,158569576]),[]).
%
% cnf(177168864,plain,(l3(b,c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[156408696,159099928,175312280]),[]).
%
% fof(prove_this,plain,(~l3(b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN227-1.tptp',unknown),[]).
%
% cnf(160732976,plain,(~l3(b,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[177168864,160732976]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------