TSTP Solution File: SYN146-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN146-1 : 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 16:55:52 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 6 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
! [A,B] : ~ n1(A,c,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),
[] ).
cnf(168400928,plain,
~ n1(A,c,B),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),
[] ).
cnf(164149792,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
fof(rule_050,plain,
! [A,B] :
( n1(A,B,A)
| ~ s0(b)
| ~ l0(A)
| ~ p0(b,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),
[] ).
cnf(164104440,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),
[] ).
cnf(164056640,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(164752904,plain,
( n1(A,B,A)
| ~ l0(A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,164104440,164056640]),
[] ).
cnf(177234696,plain,
n1(c,A,c),
inference(resolution,[status(thm)],[164752904,164149792]),
[] ).
fof(rule_054,plain,
! [A,B,C] :
( n1(A,B,B)
| ~ l0(C)
| ~ l1(C,A)
| ~ n1(A,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),
[] ).
cnf(164818056,plain,
( n1(A,B,B)
| ~ l0(C)
| ~ l1(C,A)
| ~ n1(A,B,A) ),
inference(rewrite,[status(thm)],[rule_054]),
[] ).
fof(axiom_26,plain,
n0(d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),
[] ).
cnf(164153608,plain,
n0(d,c),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),
[] ).
cnf(164238160,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(181451512,plain,
l1(c,c),
inference(resolution,[status(thm)],[164153608,164238160]),
[] ).
cnf(181554472,plain,
n1(c,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[164149792,177234696,164818056,181451512]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168400928,181554472]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~n1(A,c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),[]).
%
% cnf(168400928,plain,(~n1(A,c,B)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),[]).
%
% cnf(164149792,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% fof(rule_050,plain,(n1(A,B,A)|~s0(b)|~l0(A)|~p0(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),[]).
%
% cnf(164104440,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),[]).
%
% cnf(164056640,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(164752904,plain,(n1(A,B,A)|~l0(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,164104440,164056640]),[]).
%
% cnf(177234696,plain,(n1(c,A,c)),inference(resolution,[status(thm)],[164752904,164149792]),[]).
%
% fof(rule_054,plain,(n1(A,B,B)|~l0(C)|~l1(C,A)|~n1(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),[]).
%
% cnf(164818056,plain,(n1(A,B,B)|~l0(C)|~l1(C,A)|~n1(A,B,A)),inference(rewrite,[status(thm)],[rule_054]),[]).
%
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),[]).
%
% cnf(164153608,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN146-1.tptp',unknown),[]).
%
% cnf(164238160,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(181451512,plain,(l1(c,c)),inference(resolution,[status(thm)],[164153608,164238160]),[]).
%
% cnf(181554472,plain,(n1(c,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164149792,177234696,164818056,181451512]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168400928,181554472]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------