TSTP Solution File: GEO010-3 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO010-3 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:52:08 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 90 ( 41 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 63 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(colinearity4,plain,
! [A,B,C] :
( ~ colinear(A,B,C)
| between(A,B,C)
| between(B,C,A)
| between(C,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),
[] ).
cnf(157504248,plain,
( ~ colinear(A,B,C)
| between(A,B,C)
| between(B,C,A)
| between(C,A,B) ),
inference(rewrite,[status(thm)],[colinearity4]),
[] ).
fof(colinearity1,plain,
! [A,B,C] :
( ~ between(A,B,C)
| colinear(A,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),
[] ).
cnf(157486840,plain,
( ~ between(A,B,C)
| colinear(A,B,C) ),
inference(rewrite,[status(thm)],[colinearity1]),
[] ).
cnf(170530088,plain,
( ~ colinear(A,B,C)
| between(A,B,C)
| between(C,A,B)
| colinear(B,C,A) ),
inference(resolution,[status(thm)],[157504248,157486840]),
[] ).
fof(colinearity3,plain,
! [A,B,C] :
( ~ between(A,B,C)
| colinear(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),
[] ).
cnf(157494760,plain,
( ~ between(A,B,C)
| colinear(B,C,A) ),
inference(rewrite,[status(thm)],[colinearity3]),
[] ).
cnf(170889216,plain,
( ~ colinear(A,B,C)
| between(C,A,B)
| colinear(B,C,A) ),
inference(resolution,[status(thm)],[170530088,157494760]),
[] ).
fof(colinearity2,plain,
! [A,B,C] :
( ~ between(A,B,C)
| colinear(C,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),
[] ).
cnf(157491152,plain,
( ~ between(A,B,C)
| colinear(C,A,B) ),
inference(rewrite,[status(thm)],[colinearity2]),
[] ).
cnf(171226872,plain,
( ~ colinear(A,B,C)
| colinear(B,C,A) ),
inference(resolution,[status(thm)],[170889216,157491152]),
[] ).
cnf(170534592,plain,
( ~ colinear(A,B,C)
| between(A,B,C)
| between(B,C,A)
| colinear(C,A,B) ),
inference(resolution,[status(thm)],[157504248,157486840]),
[] ).
cnf(171241664,plain,
( ~ colinear(A,B,C)
| between(B,C,A)
| colinear(C,A,B) ),
inference(resolution,[status(thm)],[170534592,157491152]),
[] ).
cnf(171276640,plain,
( ~ colinear(A,B,C)
| colinear(C,A,B) ),
inference(resolution,[status(thm)],[171241664,157494760]),
[] ).
fof(abc_colinear,plain,
colinear(a,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),
[] ).
cnf(158014320,plain,
colinear(a,b,c),
inference(rewrite,[status(thm)],[abc_colinear]),
[] ).
cnf(171302272,plain,
colinear(c,a,b),
inference(resolution,[status(thm)],[171276640,158014320]),
[] ).
fof(prove_colinear_in_all_orders,plain,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),
[] ).
cnf(158025640,plain,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(rewrite,[status(thm)],[prove_colinear_in_all_orders]),
[] ).
cnf(171231544,plain,
colinear(b,c,a),
inference(resolution,[status(thm)],[171226872,158014320]),
[] ).
cnf(171419248,plain,
~ colinear(c,b,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171226872,171302272,158025640,171231544]),
[] ).
fof(c2_2,plain,
! [A,B,C] :
( ~ between(A,B,C)
| colinear(A,C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),
[] ).
cnf(158006496,plain,
( ~ between(A,B,C)
| colinear(A,C,B) ),
inference(rewrite,[status(thm)],[c2_2]),
[] ).
fof(c2_1,plain,
! [A,B,C] :
( ~ between(A,B,C)
| colinear(C,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),
[] ).
cnf(158002888,plain,
( ~ between(A,B,C)
| colinear(C,B,A) ),
inference(rewrite,[status(thm)],[c2_1]),
[] ).
cnf(170796168,plain,
( ~ colinear(a,c,b)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a)
| ~ between(b,a,c) ),
inference(resolution,[status(thm)],[158025640,157486840]),
[] ).
cnf(171121200,plain,
~ between(b,a,c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[158006496,158002888,157491152,170796168,157494760]),
[] ).
cnf(171476896,plain,
( ~ colinear(b,a,c)
| between(a,c,b)
| between(c,b,a) ),
inference(resolution,[status(thm)],[157504248,171121200]),
[] ).
cnf(171511240,plain,
( ~ colinear(b,a,c)
| between(c,b,a) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171419248,171476896,157494760]),
[] ).
cnf(171524928,plain,
~ colinear(b,a,c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171419248,171511240,157486840]),
[] ).
cnf(171761808,plain,
( ~ colinear(A,B,C)
| between(B,C,A)
| between(C,A,B)
| colinear(C,B,A) ),
inference(resolution,[status(thm)],[157504248,158002888]),
[] ).
cnf(170944408,plain,
( ~ colinear(A,B,C)
| between(C,A,B)
| colinear(C,B,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171226872,171761808,158002888]),
[] ).
cnf(171897920,plain,
( ~ colinear(A,B,C)
| colinear(B,A,C) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171226872,170944408,158002888]),
[] ).
cnf(171902208,plain,
colinear(b,a,c),
inference(resolution,[status(thm)],[171897920,158014320]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[171524928,171902208]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(colinearity4,plain,(~colinear(A,B,C)|between(A,B,C)|between(B,C,A)|between(C,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),[]).
%
% cnf(157504248,plain,(~colinear(A,B,C)|between(A,B,C)|between(B,C,A)|between(C,A,B)),inference(rewrite,[status(thm)],[colinearity4]),[]).
%
% fof(colinearity1,plain,(~between(A,B,C)|colinear(A,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),[]).
%
% cnf(157486840,plain,(~between(A,B,C)|colinear(A,B,C)),inference(rewrite,[status(thm)],[colinearity1]),[]).
%
% cnf(170530088,plain,(~colinear(A,B,C)|between(A,B,C)|between(C,A,B)|colinear(B,C,A)),inference(resolution,[status(thm)],[157504248,157486840]),[]).
%
% fof(colinearity3,plain,(~between(A,B,C)|colinear(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),[]).
%
% cnf(157494760,plain,(~between(A,B,C)|colinear(B,C,A)),inference(rewrite,[status(thm)],[colinearity3]),[]).
%
% cnf(170889216,plain,(~colinear(A,B,C)|between(C,A,B)|colinear(B,C,A)),inference(resolution,[status(thm)],[170530088,157494760]),[]).
%
% fof(colinearity2,plain,(~between(A,B,C)|colinear(C,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),[]).
%
% cnf(157491152,plain,(~between(A,B,C)|colinear(C,A,B)),inference(rewrite,[status(thm)],[colinearity2]),[]).
%
% cnf(171226872,plain,(~colinear(A,B,C)|colinear(B,C,A)),inference(resolution,[status(thm)],[170889216,157491152]),[]).
%
% cnf(170534592,plain,(~colinear(A,B,C)|between(A,B,C)|between(B,C,A)|colinear(C,A,B)),inference(resolution,[status(thm)],[157504248,157486840]),[]).
%
% cnf(171241664,plain,(~colinear(A,B,C)|between(B,C,A)|colinear(C,A,B)),inference(resolution,[status(thm)],[170534592,157491152]),[]).
%
% cnf(171276640,plain,(~colinear(A,B,C)|colinear(C,A,B)),inference(resolution,[status(thm)],[171241664,157494760]),[]).
%
% fof(abc_colinear,plain,(colinear(a,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),[]).
%
% cnf(158014320,plain,(colinear(a,b,c)),inference(rewrite,[status(thm)],[abc_colinear]),[]).
%
% cnf(171302272,plain,(colinear(c,a,b)),inference(resolution,[status(thm)],[171276640,158014320]),[]).
%
% fof(prove_colinear_in_all_orders,plain,(~colinear(a,c,b)|~colinear(b,a,c)|~colinear(b,c,a)|~colinear(c,a,b)|~colinear(c,b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),[]).
%
% cnf(158025640,plain,(~colinear(a,c,b)|~colinear(b,a,c)|~colinear(b,c,a)|~colinear(c,a,b)|~colinear(c,b,a)),inference(rewrite,[status(thm)],[prove_colinear_in_all_orders]),[]).
%
% cnf(171231544,plain,(colinear(b,c,a)),inference(resolution,[status(thm)],[171226872,158014320]),[]).
%
% cnf(171419248,plain,(~colinear(c,b,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171226872,171302272,158025640,171231544]),[]).
%
% fof(c2_2,plain,(~between(A,B,C)|colinear(A,C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),[]).
%
% cnf(158006496,plain,(~between(A,B,C)|colinear(A,C,B)),inference(rewrite,[status(thm)],[c2_2]),[]).
%
% fof(c2_1,plain,(~between(A,B,C)|colinear(C,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO010-3.tptp',unknown),[]).
%
% cnf(158002888,plain,(~between(A,B,C)|colinear(C,B,A)),inference(rewrite,[status(thm)],[c2_1]),[]).
%
% cnf(170796168,plain,(~colinear(a,c,b)|~colinear(b,c,a)|~colinear(c,a,b)|~colinear(c,b,a)|~between(b,a,c)),inference(resolution,[status(thm)],[158025640,157486840]),[]).
%
% cnf(171121200,plain,(~between(b,a,c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158006496,158002888,157491152,170796168,157494760]),[]).
%
% cnf(171476896,plain,(~colinear(b,a,c)|between(a,c,b)|between(c,b,a)),inference(resolution,[status(thm)],[157504248,171121200]),[]).
%
% cnf(171511240,plain,(~colinear(b,a,c)|between(c,b,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171419248,171476896,157494760]),[]).
%
% cnf(171524928,plain,(~colinear(b,a,c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171419248,171511240,157486840]),[]).
%
% cnf(171761808,plain,(~colinear(A,B,C)|between(B,C,A)|between(C,A,B)|colinear(C,B,A)),inference(resolution,[status(thm)],[157504248,158002888]),[]).
%
% cnf(170944408,plain,(~colinear(A,B,C)|between(C,A,B)|colinear(C,B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171226872,171761808,158002888]),[]).
%
% cnf(171897920,plain,(~colinear(A,B,C)|colinear(B,A,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171226872,170944408,158002888]),[]).
%
% cnf(171902208,plain,(colinear(b,a,c)),inference(resolution,[status(thm)],[171897920,158014320]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[171524928,171902208]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------