TSTP Solution File: SYN237-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN237-1 : 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 17:18:53 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
! [A] : ~ m1(A,A,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN237-1.tptp',unknown),
[] ).
cnf(179445264,plain,
~ m1(A,A,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_012,plain,
( m1(e,e,e)
| ~ r0(e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN237-1.tptp',unknown),
[] ).
fof(axiom_13,plain,
r0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN237-1.tptp',unknown),
[] ).
cnf(175145080,plain,
r0(e),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
cnf(175419568,plain,
m1(e,e,e),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_012,175145080]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[179445264,175419568]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~m1(A,A,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN237-1.tptp',unknown),[]).
%
% cnf(179445264,plain,(~m1(A,A,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_012,plain,(m1(e,e,e)|~r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN237-1.tptp',unknown),[]).
%
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN237-1.tptp',unknown),[]).
%
% cnf(175145080,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% cnf(175419568,plain,(m1(e,e,e)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_012,175145080]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[179445264,175419568]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------