TSTP Solution File: GEO087+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO087+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 11:55:45 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 80 ( 34 ~; 35 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 26 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(part_of_defn,plain,
! [B,A,C] :
( ( ~ part_of(B,A)
| ~ incident_c(C,B)
| incident_c(C,A) )
& ( ~ incident_c(p(A,B,C),A)
| part_of(B,A) )
& ( incident_c(p(A,B,C),B)
| part_of(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),
[] ).
cnf(162857240,plain,
( ~ part_of(B,A)
| ~ incident_c(C,B)
| incident_c(C,A) ),
inference(rewrite,[status(thm)],[part_of_defn]),
[] ).
fof(corollary_2_9,plain,
( part_of(c1,c2)
& meet(p,c1,c2) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),
[] ).
cnf(163317768,plain,
part_of(c1,c2),
inference(rewrite,[status(thm)],[corollary_2_9]),
[] ).
cnf(173900936,plain,
( ~ incident_c(A,c1)
| incident_c(A,c2) ),
inference(resolution,[status(thm)],[162857240,163317768]),
[] ).
fof(meet_defn,plain,
! [A,C,B,D] :
( ( incident_c(A,C)
| ~ meet(A,B,C) )
& ( end_point(D,C)
| ~ incident_c(D,B)
| ~ incident_c(D,C)
| ~ meet(A,B,C) )
& ( end_point(D,B)
| ~ incident_c(D,B)
| ~ incident_c(D,C)
| ~ meet(A,B,C) )
& ( incident_c(A,B)
| ~ meet(A,B,C) )
& ( ~ end_point(q(A,B,C,D),B)
| ~ end_point(q(A,B,C,D),C)
| ~ incident_c(A,C)
| ~ incident_c(A,B)
| meet(A,B,C) )
& ( incident_c(q(A,B,C,D),B)
| ~ incident_c(A,C)
| ~ incident_c(A,B)
| meet(A,B,C) )
& ( incident_c(q(A,B,C,D),C)
| ~ incident_c(A,C)
| ~ incident_c(A,B)
| meet(A,B,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),
[] ).
cnf(163081840,plain,
( end_point(D,B)
| ~ incident_c(D,B)
| ~ incident_c(D,C)
| ~ meet(A,B,C) ),
inference(rewrite,[status(thm)],[meet_defn]),
[] ).
cnf(163305488,plain,
meet(p,c1,c2),
inference(rewrite,[status(thm)],[corollary_2_9]),
[] ).
cnf(174102832,plain,
( end_point(A,c1)
| ~ incident_c(A,c1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173900936,163081840,163305488]),
[] ).
fof(inner_point_defn,plain,
! [A,B] :
( ( ~ end_point(A,B)
| ~ inner_point(A,B) )
& ( incident_c(A,B)
| ~ inner_point(A,B) )
& ( inner_point(A,B)
| ~ incident_c(A,B)
| end_point(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),
[] ).
cnf(163016944,plain,
( incident_c(A,B)
| ~ inner_point(A,B) ),
inference(rewrite,[status(thm)],[inner_point_defn]),
[] ).
fof(c3,plain,
! [A] : inner_point(p(A),A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),
[] ).
cnf(163157032,plain,
inner_point(p(A),A),
inference(rewrite,[status(thm)],[c3]),
[] ).
cnf(173964512,plain,
incident_c(p(A),A),
inference(resolution,[status(thm)],[163016944,163157032]),
[] ).
cnf(174991024,plain,
end_point(p(c1),c1),
inference(resolution,[status(thm)],[174102832,173964512]),
[] ).
cnf(163027984,plain,
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
inference(rewrite,[status(thm)],[inner_point_defn]),
[] ).
cnf(174030424,plain,
~ end_point(p(A),A),
inference(resolution,[status(thm)],[163027984,163157032]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174991024,174030424]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(part_of_defn,plain,(((~part_of(B,A)|~incident_c(C,B)|incident_c(C,A))&(~incident_c(p(A,B,C),A)|part_of(B,A))&(incident_c(p(A,B,C),B)|part_of(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),[]).
%
% cnf(162857240,plain,(~part_of(B,A)|~incident_c(C,B)|incident_c(C,A)),inference(rewrite,[status(thm)],[part_of_defn]),[]).
%
% fof(corollary_2_9,plain,((part_of(c1,c2)&meet(p,c1,c2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),[]).
%
% cnf(163317768,plain,(part_of(c1,c2)),inference(rewrite,[status(thm)],[corollary_2_9]),[]).
%
% cnf(173900936,plain,(~incident_c(A,c1)|incident_c(A,c2)),inference(resolution,[status(thm)],[162857240,163317768]),[]).
%
% fof(meet_defn,plain,(((incident_c(A,C)|~meet(A,B,C))&(end_point(D,C)|~incident_c(D,B)|~incident_c(D,C)|~meet(A,B,C))&(end_point(D,B)|~incident_c(D,B)|~incident_c(D,C)|~meet(A,B,C))&(incident_c(A,B)|~meet(A,B,C))&(~end_point(q(A,B,C,D),B)|~end_point(q(A,B,C,D),C)|~incident_c(A,C)|~incident_c(A,B)|meet(A,B,C))&(incident_c(q(A,B,C,D),B)|~incident_c(A,C)|~incident_c(A,B)|meet(A,B,C))&(incident_c(q(A,B,C,D),C)|~incident_c(A,C)|~incident_c(A,B)|meet(A,B,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),[]).
%
% cnf(163081840,plain,(end_point(D,B)|~incident_c(D,B)|~incident_c(D,C)|~meet(A,B,C)),inference(rewrite,[status(thm)],[meet_defn]),[]).
%
% cnf(163305488,plain,(meet(p,c1,c2)),inference(rewrite,[status(thm)],[corollary_2_9]),[]).
%
% cnf(174102832,plain,(end_point(A,c1)|~incident_c(A,c1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173900936,163081840,163305488]),[]).
%
% fof(inner_point_defn,plain,(((~end_point(A,B)|~inner_point(A,B))&(incident_c(A,B)|~inner_point(A,B))&(inner_point(A,B)|~incident_c(A,B)|end_point(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),[]).
%
% cnf(163016944,plain,(incident_c(A,B)|~inner_point(A,B)),inference(rewrite,[status(thm)],[inner_point_defn]),[]).
%
% fof(c3,plain,(inner_point(p(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087+1.tptp',unknown),[]).
%
% cnf(163157032,plain,(inner_point(p(A),A)),inference(rewrite,[status(thm)],[c3]),[]).
%
% cnf(173964512,plain,(incident_c(p(A),A)),inference(resolution,[status(thm)],[163016944,163157032]),[]).
%
% cnf(174991024,plain,(end_point(p(c1),c1)),inference(resolution,[status(thm)],[174102832,173964512]),[]).
%
% cnf(163027984,plain,(~end_point(A,B)|~inner_point(A,B)),inference(rewrite,[status(thm)],[inner_point_defn]),[]).
%
% cnf(174030424,plain,(~end_point(p(A),A)),inference(resolution,[status(thm)],[163027984,163157032]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174991024,174030424]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------