%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO079-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:54:51 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(interior_angles_are_equal,plain,
! [A,B,C,D] :
( ~ parallel(A,B,C,D)
| eq(C,B,A,B,C,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO079-1.tptp',unknown),
[] ).
cnf(156415232,plain,
( ~ parallel(A,B,C,D)
| eq(C,B,A,B,C,D) ),
inference(rewrite,[status(thm)],[interior_angles_are_equal]),
[] ).
fof(trapezoid_definition,plain,
! [A,B,C,D] :
( ~ trapezoid(A,B,C,D)
| parallel(B,C,A,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO079-1.tptp',unknown),
[] ).
cnf(156396328,plain,
( ~ trapezoid(A,B,C,D)
| parallel(B,C,A,D) ),
inference(rewrite,[status(thm)],[trapezoid_definition]),
[] ).
fof(a_trapezoid,plain,
trapezoid(a,b,c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO079-1.tptp',unknown),
[] ).
cnf(156419984,plain,
trapezoid(a,b,c,d),
inference(rewrite,[status(thm)],[a_trapezoid]),
[] ).
cnf(164227200,plain,
parallel(b,c,a,d),
inference(resolution,[status(thm)],[156396328,156419984]),
[] ).
cnf(164232784,plain,
eq(a,c,b,c,a,d),
inference(resolution,[status(thm)],[156415232,164227200]),
[] ).
fof(prove_angles_equal,plain,
~ eq(a,c,b,c,a,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO079-1.tptp',unknown),
[] ).
cnf(156424936,plain,
~ eq(a,c,b,c,a,d),
inference(rewrite,[status(thm)],[prove_angles_equal]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[164232784,156424936]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(interior_angles_are_equal,plain,(~parallel(A,B,C,D)|eq(C,B,A,B,C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO079-1.tptp',unknown),[]).
%
% cnf(156415232,plain,(~parallel(A,B,C,D)|eq(C,B,A,B,C,D)),inference(rewrite,[status(thm)],[interior_angles_are_equal]),[]).
%
% fof(trapezoid_definition,plain,(~trapezoid(A,B,C,D)|parallel(B,C,A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO079-1.tptp',unknown),[]).
%
% cnf(156396328,plain,(~trapezoid(A,B,C,D)|parallel(B,C,A,D)),inference(rewrite,[status(thm)],[trapezoid_definition]),[]).
%
% fof(a_trapezoid,plain,(trapezoid(a,b,c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO079-1.tptp',unknown),[]).
%
% cnf(156419984,plain,(trapezoid(a,b,c,d)),inference(rewrite,[status(thm)],[a_trapezoid]),[]).
%
% cnf(164227200,plain,(parallel(b,c,a,d)),inference(resolution,[status(thm)],[156396328,156419984]),[]).
%
% cnf(164232784,plain,(eq(a,c,b,c,a,d)),inference(resolution,[status(thm)],[156415232,164227200]),[]).
%
% fof(prove_angles_equal,plain,(~eq(a,c,b,c,a,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO079-1.tptp',unknown),[]).
%
% cnf(156424936,plain,(~eq(a,c,b,c,a,d)),inference(rewrite,[status(thm)],[prove_angles_equal]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164232784,156424936]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------