TSTP Solution File: SYN226-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN226-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 17:18:17 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 8 sgn 12 !; 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/SYN226-1.tptp',unknown),
[] ).
cnf(176131624,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/SYN226-1.tptp',unknown),
[] ).
cnf(175590320,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/SYN226-1.tptp',unknown),
[] ).
cnf(174528672,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(188486912,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[175590320,174528672]),
[] ).
cnf(190993096,plain,
n2(A),
inference(resolution,[status(thm)],[176131624,188486912]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),
[] ).
cnf(174480872,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
fof(rule_135,plain,
! [A,B,C] :
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),
[] ).
cnf(176106480,plain,
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
inference(rewrite,[status(thm)],[rule_135]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),
[] ).
cnf(174662392,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),
[] ).
cnf(174459096,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(187894960,plain,
l1(e,e),
inference(resolution,[status(thm)],[174662392,174459096]),
[] ).
cnf(189272912,plain,
( m2(A)
| ~ s0(A) ),
inference(resolution,[status(thm)],[176106480,187894960]),
[] ).
cnf(190732072,plain,
m2(b),
inference(resolution,[status(thm)],[174480872,189272912]),
[] ).
fof(rule_217,plain,
! [A] :
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),
[] ).
cnf(177218632,plain,
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
inference(rewrite,[status(thm)],[rule_217]),
[] ).
cnf(193007824,plain,
l3(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190993096,190732072,177218632]),
[] ).
fof(prove_this,plain,
~ l3(b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),
[] ).
cnf(178825008,plain,
~ l3(b,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[193007824,178825008]),
[] ).
%------------------------------------------------------------------------------
%----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/SYN226-1.tptp',unknown),[]).
%
% cnf(176131624,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/SYN226-1.tptp',unknown),[]).
%
% cnf(175590320,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/SYN226-1.tptp',unknown),[]).
%
% cnf(174528672,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(188486912,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[175590320,174528672]),[]).
%
% cnf(190993096,plain,(n2(A)),inference(resolution,[status(thm)],[176131624,188486912]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),[]).
%
% cnf(174480872,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),[]).
%
% cnf(176106480,plain,(m2(A)|~s0(A)|~l1(B,C)),inference(rewrite,[status(thm)],[rule_135]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),[]).
%
% cnf(174662392,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),[]).
%
% cnf(174459096,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(187894960,plain,(l1(e,e)),inference(resolution,[status(thm)],[174662392,174459096]),[]).
%
% cnf(189272912,plain,(m2(A)|~s0(A)),inference(resolution,[status(thm)],[176106480,187894960]),[]).
%
% cnf(190732072,plain,(m2(b)),inference(resolution,[status(thm)],[174480872,189272912]),[]).
%
% fof(rule_217,plain,(l3(A,A)|~n2(A)|~m2(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),[]).
%
% cnf(177218632,plain,(l3(A,A)|~n2(A)|~m2(b)),inference(rewrite,[status(thm)],[rule_217]),[]).
%
% cnf(193007824,plain,(l3(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[190993096,190732072,177218632]),[]).
%
% fof(prove_this,plain,(~l3(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN226-1.tptp',unknown),[]).
%
% cnf(178825008,plain,(~l3(b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[193007824,178825008]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------