%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : NUM343+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 14:52:39 EDT 2009
% Result : Theorem 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 2 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 16 ( 7 ~; 5 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(less_property,plain,
! [A,B] :
( ( ~ $equal(A,B)
| ~ less(A,B) )
& ( ~ less(B,A)
| ~ less(A,B) )
& ( less(A,B)
| less(B,A)
| $equal(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM343+1.tptp',unknown),
[] ).
cnf(168060200,plain,
( ~ less(B,A)
| ~ less(A,B) ),
inference(rewrite,[status(thm)],[less_property]),
[] ).
fof(sum_something_n0_samething,plain,
! [A] :
( less(nn1,A)
& less(A,n1)
& ~ sum(n21,A,n21) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM343+1.tptp',unknown),
[] ).
cnf(163058264,plain,
less(A,n1),
inference(rewrite,[status(thm)],[sum_something_n0_samething]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168060200,163058264]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(less_property,plain,(((~$equal(A,B)|~less(A,B))&(~less(B,A)|~less(A,B))&(less(A,B)|less(B,A)|$equal(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM343+1.tptp',unknown),[]).
%
% cnf(168060200,plain,(~less(B,A)|~less(A,B)),inference(rewrite,[status(thm)],[less_property]),[]).
%
% fof(sum_something_n0_samething,plain,((less(nn1,A)&less(A,n1)&~sum(n21,A,n21))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM343+1.tptp',unknown),[]).
%
% cnf(163058264,plain,(less(A,n1)),inference(rewrite,[status(thm)],[sum_something_n0_samething]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168060200,163058264]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------