TSTP Solution File: SYN217-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN217-1 : 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 17:17:47 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 31 ( 11 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),
[] ).
cnf(177628248,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),
[] ).
cnf(179052336,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
cnf(195841408,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[177628248,179052336]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),
[] ).
cnf(179040192,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),
[] ).
cnf(177612960,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(191969824,plain,
s1(b),
inference(resolution,[status(thm)],[179040192,177612960]),
[] ).
cnf(195845952,plain,
s1(A),
inference(resolution,[status(thm)],[195841408,191969824]),
[] ).
fof(rule_133,plain,
! [A,B,C,D] :
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),
[] ).
cnf(179161280,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(192159960,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[179161280,177612960]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),
[] ).
cnf(177635728,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(201660096,plain,
l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195845952,192159960,177635728]),
[] ).
fof(prove_this,plain,
~ l2(b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),
[] ).
cnf(181909296,plain,
~ l2(b,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[201660096,181909296]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),[]).
%
% cnf(177628248,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),[]).
%
% cnf(179052336,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% cnf(195841408,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[177628248,179052336]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),[]).
%
% cnf(179040192,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),[]).
%
% cnf(177612960,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(191969824,plain,(s1(b)),inference(resolution,[status(thm)],[179040192,177612960]),[]).
%
% cnf(195845952,plain,(s1(A)),inference(resolution,[status(thm)],[195841408,191969824]),[]).
%
% fof(rule_133,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),[]).
%
% cnf(179161280,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(192159960,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[179161280,177612960]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),[]).
%
% cnf(177635728,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(201660096,plain,(l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[195845952,192159960,177635728]),[]).
%
% fof(prove_this,plain,(~l2(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN217-1.tptp',unknown),[]).
%
% cnf(181909296,plain,(~l2(b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[201660096,181909296]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------