TSTP Solution File: SYN251-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN251-1 : 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 17:26:40 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 2 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_015,plain,
! [A,B,C] :
( m1(A,B,B)
| ~ l0(C)
| ~ m0(B,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),
[] ).
cnf(178289968,plain,
( m1(A,B,B)
| ~ l0(C)
| ~ m0(B,B,A) ),
inference(rewrite,[status(thm)],[rule_015]),
[] ).
fof(axiom_31,plain,
m0(b,b,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),
[] ).
cnf(178075312,plain,
m0(b,b,e),
inference(rewrite,[status(thm)],[axiom_31]),
[] ).
cnf(193312792,plain,
( m1(e,b,b)
| ~ l0(A) ),
inference(resolution,[status(thm)],[178289968,178075312]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),
[] ).
cnf(178018584,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(193318840,plain,
m1(e,b,b),
inference(resolution,[status(thm)],[193312792,178018584]),
[] ).
fof(prove_this,plain,
~ m1(e,b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),
[] ).
cnf(182287832,plain,
~ m1(e,b,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[193318840,182287832]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_015,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),[]).
%
% cnf(178289968,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),inference(rewrite,[status(thm)],[rule_015]),[]).
%
% fof(axiom_31,plain,(m0(b,b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),[]).
%
% cnf(178075312,plain,(m0(b,b,e)),inference(rewrite,[status(thm)],[axiom_31]),[]).
%
% cnf(193312792,plain,(m1(e,b,b)|~l0(A)),inference(resolution,[status(thm)],[178289968,178075312]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),[]).
%
% cnf(178018584,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(193318840,plain,(m1(e,b,b)),inference(resolution,[status(thm)],[193312792,178018584]),[]).
%
% fof(prove_this,plain,(~m1(e,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN251-1.tptp',unknown),[]).
%
% cnf(182287832,plain,(~m1(e,b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[193318840,182287832]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------