%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV001-1 : 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 16:19:33 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 35 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 2 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(all_less_or_equal,plain,
! [A,B] :
( less_or_equalish(A,B)
| less_or_equalish(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(156030992,plain,
( less_or_equalish(A,B)
| less_or_equalish(B,A) ),
inference(rewrite,[status(thm)],[all_less_or_equal]),
[] ).
fof(clause_2,plain,
! [A,B,C] :
( ~ q1(A,B,C)
| less_or_equalish(A,B)
| q3(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(155985904,plain,
( ~ q1(A,B,C)
| less_or_equalish(A,B)
| q3(A,B,C) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
fof(clause_5,plain,
q1(a,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(156040584,plain,
q1(a,b,c),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
cnf(169250160,plain,
( less_or_equalish(a,b)
| q3(a,b,c) ),
inference(resolution,[status(thm)],[155985904,156040584]),
[] ).
fof(clause_4,plain,
! [A,B,C] :
( ~ q3(A,B,C)
| q4(A,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(156003088,plain,
( ~ q3(A,B,C)
| q4(A,B,A) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(169584800,plain,
( less_or_equalish(a,b)
| q4(a,b,a) ),
inference(resolution,[status(thm)],[169250160,156003088]),
[] ).
fof(clause_1,plain,
! [A,B,C] :
( ~ q1(A,B,C)
| ~ less_or_equalish(A,B)
| q2(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(155975032,plain,
( ~ q1(A,B,C)
| ~ less_or_equalish(A,B)
| q2(A,B,C) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(169259800,plain,
( ~ less_or_equalish(a,b)
| q2(a,b,c) ),
inference(resolution,[status(thm)],[155975032,156040584]),
[] ).
fof(clause_3,plain,
! [A,B,C] :
( ~ q2(A,B,C)
| q4(A,B,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(155996472,plain,
( ~ q2(A,B,C)
| q4(A,B,B) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(169960752,plain,
( ~ less_or_equalish(a,b)
| q4(a,b,b) ),
inference(resolution,[status(thm)],[169259800,155996472]),
[] ).
fof(clause_7,plain,
! [A] :
( ~ q4(a,b,A)
| ~ less_or_equalish(a,A)
| ~ less_or_equalish(b,A)
| ~ less_or_equalish(A,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(156059440,plain,
( ~ q4(a,b,A)
| ~ less_or_equalish(a,A)
| ~ less_or_equalish(b,A)
| ~ less_or_equalish(A,b) ),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
fof(less_or_equal_reflexivity,plain,
! [A] : less_or_equalish(A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(156007984,plain,
less_or_equalish(A,A),
inference(rewrite,[status(thm)],[less_or_equal_reflexivity]),
[] ).
cnf(169238400,plain,
( ~ q4(a,b,b)
| ~ less_or_equalish(a,b)
| ~ less_or_equalish(b,b) ),
inference(resolution,[status(thm)],[156059440,156007984]),
[] ).
cnf(172877912,plain,
~ less_or_equalish(a,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169960752,169238400,156007984]),
[] ).
fof(clause_6,plain,
! [A] :
( ~ q4(a,b,A)
| ~ less_or_equalish(a,A)
| ~ less_or_equalish(b,A)
| ~ less_or_equalish(A,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),
[] ).
cnf(156050896,plain,
( ~ q4(a,b,A)
| ~ less_or_equalish(a,A)
| ~ less_or_equalish(b,A)
| ~ less_or_equalish(A,a) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(169192192,plain,
( ~ q4(a,b,a)
| ~ less_or_equalish(b,a)
| ~ less_or_equalish(a,a) ),
inference(resolution,[status(thm)],[156050896,156007984]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[156030992,169584800,172877912,169192192,156030992]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(all_less_or_equal,plain,(less_or_equalish(A,B)|less_or_equalish(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(156030992,plain,(less_or_equalish(A,B)|less_or_equalish(B,A)),inference(rewrite,[status(thm)],[all_less_or_equal]),[]).
%
% fof(clause_2,plain,(~q1(A,B,C)|less_or_equalish(A,B)|q3(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(155985904,plain,(~q1(A,B,C)|less_or_equalish(A,B)|q3(A,B,C)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% fof(clause_5,plain,(q1(a,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(156040584,plain,(q1(a,b,c)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% cnf(169250160,plain,(less_or_equalish(a,b)|q3(a,b,c)),inference(resolution,[status(thm)],[155985904,156040584]),[]).
%
% fof(clause_4,plain,(~q3(A,B,C)|q4(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(156003088,plain,(~q3(A,B,C)|q4(A,B,A)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(169584800,plain,(less_or_equalish(a,b)|q4(a,b,a)),inference(resolution,[status(thm)],[169250160,156003088]),[]).
%
% fof(clause_1,plain,(~q1(A,B,C)|~less_or_equalish(A,B)|q2(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(155975032,plain,(~q1(A,B,C)|~less_or_equalish(A,B)|q2(A,B,C)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(169259800,plain,(~less_or_equalish(a,b)|q2(a,b,c)),inference(resolution,[status(thm)],[155975032,156040584]),[]).
%
% fof(clause_3,plain,(~q2(A,B,C)|q4(A,B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(155996472,plain,(~q2(A,B,C)|q4(A,B,B)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(169960752,plain,(~less_or_equalish(a,b)|q4(a,b,b)),inference(resolution,[status(thm)],[169259800,155996472]),[]).
%
% fof(clause_7,plain,(~q4(a,b,A)|~less_or_equalish(a,A)|~less_or_equalish(b,A)|~less_or_equalish(A,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(156059440,plain,(~q4(a,b,A)|~less_or_equalish(a,A)|~less_or_equalish(b,A)|~less_or_equalish(A,b)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% fof(less_or_equal_reflexivity,plain,(less_or_equalish(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(156007984,plain,(less_or_equalish(A,A)),inference(rewrite,[status(thm)],[less_or_equal_reflexivity]),[]).
%
% cnf(169238400,plain,(~q4(a,b,b)|~less_or_equalish(a,b)|~less_or_equalish(b,b)),inference(resolution,[status(thm)],[156059440,156007984]),[]).
%
% cnf(172877912,plain,(~less_or_equalish(a,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169960752,169238400,156007984]),[]).
%
% fof(clause_6,plain,(~q4(a,b,A)|~less_or_equalish(a,A)|~less_or_equalish(b,A)|~less_or_equalish(A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV001-1.tptp',unknown),[]).
%
% cnf(156050896,plain,(~q4(a,b,A)|~less_or_equalish(a,A)|~less_or_equalish(b,A)|~less_or_equalish(A,a)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(169192192,plain,(~q4(a,b,a)|~less_or_equalish(b,a)|~less_or_equalish(a,a)),inference(resolution,[status(thm)],[156050896,156007984]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[156030992,169584800,172877912,169192192,156030992]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------