TSTP Solution File: GEO085+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO085+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:55:36 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 56 ( 21 ~; 26 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(theorem_2_7_1,plain,
! [C,B] :
( ( open(c)
| open(c)
| open(c) )
& ( ~ end_point(C,c)
| open(c)
| open(c) )
& ( open(c)
| ~ end_point(B,c)
| open(c) )
& ( ~ end_point(C,c)
| ~ end_point(B,c)
| open(c) )
& ( open(c)
| open(c)
| $equal(C,B) )
& ( ~ end_point(C,c)
| open(c)
| $equal(C,B) )
& ( open(c)
| ~ end_point(B,c)
| $equal(C,B) )
& ( ~ end_point(C,c)
| ~ end_point(B,c)
| $equal(C,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085+1.tptp',unknown),
[] ).
cnf(166907424,plain,
( ~ end_point(C,c)
| ~ end_point(B,c)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[theorem_2_7_1]),
[] ).
fof(open_defn,plain,
! [A,C] :
( ( ~ open(A)
| end_point(p_nn_1(A),A) )
& ( open(A)
| ~ end_point(C,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085+1.tptp',unknown),
[] ).
cnf(166657368,plain,
( ~ open(A)
| end_point(p_nn_1(A),A) ),
inference(rewrite,[status(thm)],[open_defn]),
[] ).
cnf(166922536,plain,
open(c),
inference(rewrite,[status(thm)],[theorem_2_7_1]),
[] ).
cnf(180142160,plain,
end_point(p_nn_1(c),c),
inference(resolution,[status(thm)],[166657368,166922536]),
[] ).
cnf(180289704,plain,
( ~ end_point(B,c)
| $equal(B,p_nn_1(c)) ),
inference(resolution,[status(thm)],[166907424,180142160]),
[] ).
fof(c6,plain,
! [A,B] :
( ( ~ $equal(q(A,B),B)
| ~ end_point(B,A) )
& ( end_point(q(A,B),A)
| ~ end_point(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085+1.tptp',unknown),
[] ).
cnf(166747632,plain,
( end_point(q(A,B),A)
| ~ end_point(B,A) ),
inference(rewrite,[status(thm)],[c6]),
[] ).
cnf(180247600,plain,
end_point(q(c,p_nn_1(c)),c),
inference(resolution,[status(thm)],[166747632,180142160]),
[] ).
cnf(181013480,plain,
$equal(q(c,p_nn_1(c)),p_nn_1(c)),
inference(resolution,[status(thm)],[180289704,180247600]),
[] ).
cnf(166758816,plain,
( ~ $equal(q(A,B),B)
| ~ end_point(B,A) ),
inference(rewrite,[status(thm)],[c6]),
[] ).
cnf(180269336,plain,
~ $equal(q(c,p_nn_1(c)),p_nn_1(c)),
inference(resolution,[status(thm)],[166758816,180142160]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[181013480,180269336]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(theorem_2_7_1,plain,(((open(c)|open(c)|open(c))&(~end_point(C,c)|open(c)|open(c))&(open(c)|~end_point(B,c)|open(c))&(~end_point(C,c)|~end_point(B,c)|open(c))&(open(c)|open(c)|$equal(C,B))&(~end_point(C,c)|open(c)|$equal(C,B))&(open(c)|~end_point(B,c)|$equal(C,B))&(~end_point(C,c)|~end_point(B,c)|$equal(C,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085+1.tptp',unknown),[]).
%
% cnf(166907424,plain,(~end_point(C,c)|~end_point(B,c)|$equal(C,B)),inference(rewrite,[status(thm)],[theorem_2_7_1]),[]).
%
% fof(open_defn,plain,(((~open(A)|end_point(p_nn_1(A),A))&(open(A)|~end_point(C,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085+1.tptp',unknown),[]).
%
% cnf(166657368,plain,(~open(A)|end_point(p_nn_1(A),A)),inference(rewrite,[status(thm)],[open_defn]),[]).
%
% cnf(166922536,plain,(open(c)),inference(rewrite,[status(thm)],[theorem_2_7_1]),[]).
%
% cnf(180142160,plain,(end_point(p_nn_1(c),c)),inference(resolution,[status(thm)],[166657368,166922536]),[]).
%
% cnf(180289704,plain,(~end_point(B,c)|$equal(B,p_nn_1(c))),inference(resolution,[status(thm)],[166907424,180142160]),[]).
%
% fof(c6,plain,(((~$equal(q(A,B),B)|~end_point(B,A))&(end_point(q(A,B),A)|~end_point(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085+1.tptp',unknown),[]).
%
% cnf(166747632,plain,(end_point(q(A,B),A)|~end_point(B,A)),inference(rewrite,[status(thm)],[c6]),[]).
%
% cnf(180247600,plain,(end_point(q(c,p_nn_1(c)),c)),inference(resolution,[status(thm)],[166747632,180142160]),[]).
%
% cnf(181013480,plain,($equal(q(c,p_nn_1(c)),p_nn_1(c))),inference(resolution,[status(thm)],[180289704,180247600]),[]).
%
% cnf(166758816,plain,(~$equal(q(A,B),B)|~end_point(B,A)),inference(rewrite,[status(thm)],[c6]),[]).
%
% cnf(180269336,plain,(~$equal(q(c,p_nn_1(c)),p_nn_1(c))),inference(resolution,[status(thm)],[166758816,180142160]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181013480,180269336]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------