TSTP Solution File: SWV009-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV009-1 : TPTP v3.4.2. Released v1.0.0.
% 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 16:19:47 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_1,plain,
! [A,B] :
( less_or_equal(A,B)
| less(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),
[] ).
cnf(158144800,plain,
( less_or_equal(A,B)
| less(B,A) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_9,plain,
~ less_or_equal(a(p),a(q)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),
[] ).
cnf(158225560,plain,
~ less_or_equal(a(p),a(q)),
inference(rewrite,[status(thm)],[clause_9]),
[] ).
fof(clause_5,plain,
less_or_equal(q,n),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),
[] ).
cnf(158161424,plain,
less_or_equal(q,n),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
fof(clause_8,plain,
! [A,B] :
( ~ less_or_equal(i,A)
| ~ less_or_equal(A,B)
| ~ less_or_equal(B,n)
| less_or_equal(a(A),a(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),
[] ).
cnf(158221760,plain,
( ~ less_or_equal(i,A)
| ~ less_or_equal(A,B)
| ~ less_or_equal(B,n)
| less_or_equal(a(A),a(B)) ),
inference(rewrite,[status(thm)],[clause_8]),
[] ).
fof(clause_4,plain,
less_or_equal(p,q),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),
[] ).
cnf(158157664,plain,
less_or_equal(p,q),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(187222584,plain,
~ less_or_equal(i,p),
inference(forward_subsumption_resolution__resolution,[status(thm)],[158225560,158161424,158221760,158157664]),
[] ).
cnf(187351968,plain,
less(p,i),
inference(resolution,[status(thm)],[158144800,187222584]),
[] ).
fof(clause_3,plain,
less_or_equal(m,p),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),
[] ).
cnf(158153616,plain,
less_or_equal(m,p),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
fof(clause_7,plain,
! [A,B] :
( ~ less_or_equal(m,A)
| ~ less_or_equal(A,B)
| ~ less_or_equal(B,j)
| less_or_equal(a(A),a(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),
[] ).
cnf(158212672,plain,
( ~ less_or_equal(m,A)
| ~ less_or_equal(A,B)
| ~ less_or_equal(B,j)
| less_or_equal(a(A),a(B)) ),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(187208128,plain,
~ less_or_equal(q,j),
inference(forward_subsumption_resolution__resolution,[status(thm)],[158225560,158153616,158212672,158157664]),
[] ).
cnf(187342536,plain,
less(j,q),
inference(resolution,[status(thm)],[158144800,187208128]),
[] ).
fof(clause_6,plain,
! [A,B] :
( ~ less_or_equal(m,A)
| ~ less(A,i)
| ~ less(j,B)
| ~ less_or_equal(B,n)
| less_or_equal(a(A),a(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),
[] ).
cnf(158191120,plain,
( ~ less_or_equal(m,A)
| ~ less(A,i)
| ~ less(j,B)
| ~ less_or_equal(B,n)
| less_or_equal(a(A),a(B)) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[187351968,187342536,158153616,158161424,158191120,158225560]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_1,plain,(less_or_equal(A,B)|less(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),[]).
%
% cnf(158144800,plain,(less_or_equal(A,B)|less(B,A)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_9,plain,(~less_or_equal(a(p),a(q))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),[]).
%
% cnf(158225560,plain,(~less_or_equal(a(p),a(q))),inference(rewrite,[status(thm)],[clause_9]),[]).
%
% fof(clause_5,plain,(less_or_equal(q,n)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),[]).
%
% cnf(158161424,plain,(less_or_equal(q,n)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% fof(clause_8,plain,(~less_or_equal(i,A)|~less_or_equal(A,B)|~less_or_equal(B,n)|less_or_equal(a(A),a(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),[]).
%
% cnf(158221760,plain,(~less_or_equal(i,A)|~less_or_equal(A,B)|~less_or_equal(B,n)|less_or_equal(a(A),a(B))),inference(rewrite,[status(thm)],[clause_8]),[]).
%
% fof(clause_4,plain,(less_or_equal(p,q)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),[]).
%
% cnf(158157664,plain,(less_or_equal(p,q)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(187222584,plain,(~less_or_equal(i,p)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158225560,158161424,158221760,158157664]),[]).
%
% cnf(187351968,plain,(less(p,i)),inference(resolution,[status(thm)],[158144800,187222584]),[]).
%
% fof(clause_3,plain,(less_or_equal(m,p)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),[]).
%
% cnf(158153616,plain,(less_or_equal(m,p)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% fof(clause_7,plain,(~less_or_equal(m,A)|~less_or_equal(A,B)|~less_or_equal(B,j)|less_or_equal(a(A),a(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),[]).
%
% cnf(158212672,plain,(~less_or_equal(m,A)|~less_or_equal(A,B)|~less_or_equal(B,j)|less_or_equal(a(A),a(B))),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(187208128,plain,(~less_or_equal(q,j)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158225560,158153616,158212672,158157664]),[]).
%
% cnf(187342536,plain,(less(j,q)),inference(resolution,[status(thm)],[158144800,187208128]),[]).
%
% fof(clause_6,plain,(~less_or_equal(m,A)|~less(A,i)|~less(j,B)|~less_or_equal(B,n)|less_or_equal(a(A),a(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV009-1.tptp',unknown),[]).
%
% cnf(158191120,plain,(~less_or_equal(m,A)|~less(A,i)|~less(j,B)|~less_or_equal(B,n)|less_or_equal(a(A),a(B))),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[187351968,187342536,158153616,158161424,158191120,158225560]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------