TSTP Solution File: NUM341+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : NUM341+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 14:52:35 EDT 2009
% Result : Theorem 0.5s
% Output : Refutation 0.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 2 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 68 ( 24 ~; 32 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 27 ( 3 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(add_same_as_subtract,plain,
! [A,B,C] :
( ( sum(A,B,C)
| sum(A,B,C)
| difference(C,B,A) )
& ( ~ difference(C,B,A)
| sum(A,B,C)
| difference(C,B,A) )
& ( sum(A,B,C)
| ~ difference(C,A,B)
| difference(C,B,A) )
& ( ~ difference(C,B,A)
| ~ difference(C,A,B)
| difference(C,B,A) )
& ( sum(A,B,C)
| sum(A,B,C)
| difference(C,A,B) )
& ( ~ difference(C,B,A)
| sum(A,B,C)
| difference(C,A,B) )
& ( sum(A,B,C)
| ~ difference(C,A,B)
| difference(C,A,B) )
& ( ~ difference(C,B,A)
| ~ difference(C,A,B)
| difference(C,A,B) )
& ( sum(A,B,C)
| sum(A,B,C)
| ~ sum(A,B,C) )
& ( ~ difference(C,B,A)
| sum(A,B,C)
| ~ sum(A,B,C) )
& ( sum(A,B,C)
| ~ difference(C,A,B)
| ~ sum(A,B,C) )
& ( ~ difference(C,B,A)
| ~ difference(C,A,B)
| ~ sum(A,B,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM341+1.tptp',unknown),
[] ).
cnf(174391544,plain,
( sum(A,B,C)
| difference(C,B,A) ),
inference(rewrite,[status(thm)],[add_same_as_subtract]),
[] ).
fof(minus_entry_point,plain,
! [B,C,A] :
( ( ~ sum(B,C,A)
| difference(A,B,C) )
& ( sum(B,C,A)
| ~ difference(A,B,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM341+1.tptp',unknown),
[] ).
cnf(172715680,plain,
( sum(B,C,A)
| ~ difference(A,B,C) ),
inference(rewrite,[status(thm)],[minus_entry_point]),
[] ).
cnf(174366616,plain,
( ~ difference(C,B,A)
| sum(A,B,C) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[add_same_as_subtract,172715680]),
[] ).
cnf(172741544,plain,
( ~ sum(B,C,A)
| difference(A,B,C) ),
inference(rewrite,[status(thm)],[minus_entry_point]),
[] ).
cnf(202315496,plain,
( ~ difference(C,B,A)
| difference(C,A,B) ),
inference(resolution,[status(thm)],[174366616,172741544]),
[] ).
cnf(202341624,plain,
difference(C,A,B),
inference(forward_subsumption_resolution__resolution,[status(thm)],[174391544,202315496,172741544]),
[] ).
cnf(174340344,plain,
( ~ difference(C,B,A)
| ~ difference(C,A,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[add_same_as_subtract,172715680]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[202341624,174340344,202341624]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(add_same_as_subtract,plain,(((sum(A,B,C)|sum(A,B,C)|difference(C,B,A))&(~difference(C,B,A)|sum(A,B,C)|difference(C,B,A))&(sum(A,B,C)|~difference(C,A,B)|difference(C,B,A))&(~difference(C,B,A)|~difference(C,A,B)|difference(C,B,A))&(sum(A,B,C)|sum(A,B,C)|difference(C,A,B))&(~difference(C,B,A)|sum(A,B,C)|difference(C,A,B))&(sum(A,B,C)|~difference(C,A,B)|difference(C,A,B))&(~difference(C,B,A)|~difference(C,A,B)|difference(C,A,B))&(sum(A,B,C)|sum(A,B,C)|~sum(A,B,C))&(~difference(C,B,A)|sum(A,B,C)|~sum(A,B,C))&(sum(A,B,C)|~difference(C,A,B)|~sum(A,B,C))&(~difference(C,B,A)|~difference(C,A,B)|~sum(A,B,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM341+1.tptp',unknown),[]).
%
% cnf(174391544,plain,(sum(A,B,C)|difference(C,B,A)),inference(rewrite,[status(thm)],[add_same_as_subtract]),[]).
%
% fof(minus_entry_point,plain,(((~sum(B,C,A)|difference(A,B,C))&(sum(B,C,A)|~difference(A,B,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM341+1.tptp',unknown),[]).
%
% cnf(172715680,plain,(sum(B,C,A)|~difference(A,B,C)),inference(rewrite,[status(thm)],[minus_entry_point]),[]).
%
% cnf(174366616,plain,(~difference(C,B,A)|sum(A,B,C)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[add_same_as_subtract,172715680]),[]).
%
% cnf(172741544,plain,(~sum(B,C,A)|difference(A,B,C)),inference(rewrite,[status(thm)],[minus_entry_point]),[]).
%
% cnf(202315496,plain,(~difference(C,B,A)|difference(C,A,B)),inference(resolution,[status(thm)],[174366616,172741544]),[]).
%
% cnf(202341624,plain,(difference(C,A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[174391544,202315496,172741544]),[]).
%
% cnf(174340344,plain,(~difference(C,B,A)|~difference(C,A,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[add_same_as_subtract,172715680]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[202341624,174340344,202341624]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------