TSTP Solution File: GEO067-3 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO067-3 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 11:54:41 EDT 2009
% Result : Unsatisfiable 4.3s
% Output : Refutation 4.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 24 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(colinearity2,plain,
! [A,B,C] :
( ~ between(A,B,C)
| colinear(C,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),
[] ).
cnf(157277344,plain,
( ~ between(A,B,C)
| colinear(C,A,B) ),
inference(rewrite,[status(thm)],[colinearity2]),
[] ).
fof(t3,plain,
! [A,B] : between(A,B,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),
[] ).
cnf(157502056,plain,
between(A,B,B),
inference(rewrite,[status(thm)],[t3]),
[] ).
cnf(168337400,plain,
colinear(B,A,B),
inference(resolution,[status(thm)],[157277344,157502056]),
[] ).
fof(part_2,plain,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),
[] ).
fof(t10_1,plain,
! [A,B,C] :
( ~ colinear(A,B,C)
| colinear(C,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),
[] ).
cnf(157802392,plain,
( ~ colinear(A,B,C)
| colinear(C,B,A) ),
inference(rewrite,[status(thm)],[t10_1]),
[] ).
fof(t10_2,plain,
! [A,B,C] :
( ~ colinear(A,B,C)
| colinear(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),
[] ).
cnf(157810824,plain,
( ~ colinear(A,B,C)
| colinear(B,C,A) ),
inference(rewrite,[status(thm)],[t10_2]),
[] ).
cnf(157840616,plain,
( ~ colinear(x,y,x)
| ~ colinear(x,z,y) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[part_2,157802392,157810824]),
[] ).
cnf(171105504,plain,
~ colinear(x,z,y),
inference(resolution,[status(thm)],[157840616,168337400]),
[] ).
fof(part_1,plain,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| $equal(y,x) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),
[] ).
cnf(157831232,plain,
( ~ colinear(x,y,x)
| $equal(y,x) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[part_1,157802392,157810824]),
[] ).
cnf(234822128,plain,
$equal(y,x),
inference(resolution,[status(thm)],[157831232,168337400]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[168337400,171105504,234822128,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(colinearity2,plain,(~between(A,B,C)|colinear(C,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),[]).
%
% cnf(157277344,plain,(~between(A,B,C)|colinear(C,A,B)),inference(rewrite,[status(thm)],[colinearity2]),[]).
%
% fof(t3,plain,(between(A,B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),[]).
%
% cnf(157502056,plain,(between(A,B,B)),inference(rewrite,[status(thm)],[t3]),[]).
%
% cnf(168337400,plain,(colinear(B,A,B)),inference(resolution,[status(thm)],[157277344,157502056]),[]).
%
% fof(part_2,plain,(~colinear(x,x,y)|~colinear(x,y,x)|~colinear(y,x,x)|~colinear(x,z,y)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),[]).
%
% fof(t10_1,plain,(~colinear(A,B,C)|colinear(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),[]).
%
% cnf(157802392,plain,(~colinear(A,B,C)|colinear(C,B,A)),inference(rewrite,[status(thm)],[t10_1]),[]).
%
% fof(t10_2,plain,(~colinear(A,B,C)|colinear(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),[]).
%
% cnf(157810824,plain,(~colinear(A,B,C)|colinear(B,C,A)),inference(rewrite,[status(thm)],[t10_2]),[]).
%
% cnf(157840616,plain,(~colinear(x,y,x)|~colinear(x,z,y)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[part_2,157802392,157810824]),[]).
%
% cnf(171105504,plain,(~colinear(x,z,y)),inference(resolution,[status(thm)],[157840616,168337400]),[]).
%
% fof(part_1,plain,(~colinear(x,x,y)|~colinear(x,y,x)|~colinear(y,x,x)|$equal(y,x)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO067-3.tptp',unknown),[]).
%
% cnf(157831232,plain,(~colinear(x,y,x)|$equal(y,x)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[part_1,157802392,157810824]),[]).
%
% cnf(234822128,plain,($equal(y,x)),inference(resolution,[status(thm)],[157831232,168337400]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[168337400,171105504,234822128,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------