TSTP Solution File: SYN149-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN149-1 : 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 16:56:01 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 4 ( 1 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_13,plain,
r0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),
[] ).
cnf(151448904,plain,
r0(e),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
fof(prove_this,plain,
! [A] : ~ n1(e,e,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),
[] ).
cnf(155749224,plain,
~ n1(e,e,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_057,plain,
! [A] :
( n1(A,A,A)
| ~ r0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),
[] ).
cnf(152192040,plain,
( n1(A,A,A)
| ~ r0(A) ),
inference(rewrite,[status(thm)],[rule_057]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[151448904,155749224,152192040]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),[]).
%
% cnf(151448904,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% fof(prove_this,plain,(~n1(e,e,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),[]).
%
% cnf(155749224,plain,(~n1(e,e,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_057,plain,(n1(A,A,A)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN149-1.tptp',unknown),[]).
%
% cnf(152192040,plain,(n1(A,A,A)|~r0(A)),inference(rewrite,[status(thm)],[rule_057]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[151448904,155749224,152192040]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------