%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO081+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 11:55:22 EDT 2009

% Result   : Theorem 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   25 (  11   ~;  10   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (   6 sgn   3   !;   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/GEO081+1.tptp',unknown),
    [] ).

cnf(142722272,plain,
    ( ~ part_of(B,A)
    | ~ incident_c(C,B)
    | incident_c(C,A) ),
    inference(rewrite,[status(thm)],[part_of_defn]),
    [] ).

fof(part_of_transitivity,plain,
    ( part_of(c1,c2)
    & part_of(c2,c3)
    & ~ part_of(c1,c3) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081+1.tptp',unknown),
    [] ).

cnf(143199264,plain,
    part_of(c1,c2),
    inference(rewrite,[status(thm)],[part_of_transitivity]),
    [] ).

cnf(156582680,plain,
    ( ~ incident_c(A,c1)
    | incident_c(A,c2) ),
    inference(resolution,[status(thm)],[142722272,143199264]),
    [] ).

cnf(142706464,plain,
    ( incident_c(p(A,B,C),B)
    | part_of(B,A) ),
    inference(rewrite,[status(thm)],[part_of_defn]),
    [] ).

cnf(143179696,plain,
    ~ part_of(c1,c3),
    inference(rewrite,[status(thm)],[part_of_transitivity]),
    [] ).

cnf(156740968,plain,
    incident_c(p(c3,c1,A),c1),
    inference(resolution,[status(thm)],[142706464,143179696]),
    [] ).

cnf(161459208,plain,
    incident_c(p(c3,c1,A),c2),
    inference(resolution,[status(thm)],[156582680,156740968]),
    [] ).

cnf(143191696,plain,
    part_of(c2,c3),
    inference(rewrite,[status(thm)],[part_of_transitivity]),
    [] ).

cnf(156442216,plain,
    ( ~ incident_c(A,c2)
    | incident_c(A,c3) ),
    inference(resolution,[status(thm)],[142722272,143191696]),
    [] ).

cnf(162102848,plain,
    incident_c(p(c3,c1,A),c3),
    inference(resolution,[status(thm)],[161459208,156442216]),
    [] ).

cnf(142713840,plain,
    ( ~ incident_c(p(A,B,C),A)
    | part_of(B,A) ),
    inference(rewrite,[status(thm)],[part_of_defn]),
    [] ).

cnf(156754864,plain,
    ~ incident_c(p(c3,c1,A),c3),
    inference(resolution,[status(thm)],[142713840,143179696]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[162102848,156754864]),
    [] ).

%------------------------------------------------------------------------------
%----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/GEO081+1.tptp',unknown),[]).
% 
% cnf(142722272,plain,(~part_of(B,A)|~incident_c(C,B)|incident_c(C,A)),inference(rewrite,[status(thm)],[part_of_defn]),[]).
% 
% fof(part_of_transitivity,plain,((part_of(c1,c2)&part_of(c2,c3)&~part_of(c1,c3))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081+1.tptp',unknown),[]).
% 
% cnf(143199264,plain,(part_of(c1,c2)),inference(rewrite,[status(thm)],[part_of_transitivity]),[]).
% 
% cnf(156582680,plain,(~incident_c(A,c1)|incident_c(A,c2)),inference(resolution,[status(thm)],[142722272,143199264]),[]).
% 
% cnf(142706464,plain,(incident_c(p(A,B,C),B)|part_of(B,A)),inference(rewrite,[status(thm)],[part_of_defn]),[]).
% 
% cnf(143179696,plain,(~part_of(c1,c3)),inference(rewrite,[status(thm)],[part_of_transitivity]),[]).
% 
% cnf(156740968,plain,(incident_c(p(c3,c1,A),c1)),inference(resolution,[status(thm)],[142706464,143179696]),[]).
% 
% cnf(161459208,plain,(incident_c(p(c3,c1,A),c2)),inference(resolution,[status(thm)],[156582680,156740968]),[]).
% 
% cnf(143191696,plain,(part_of(c2,c3)),inference(rewrite,[status(thm)],[part_of_transitivity]),[]).
% 
% cnf(156442216,plain,(~incident_c(A,c2)|incident_c(A,c3)),inference(resolution,[status(thm)],[142722272,143191696]),[]).
% 
% cnf(162102848,plain,(incident_c(p(c3,c1,A),c3)),inference(resolution,[status(thm)],[161459208,156442216]),[]).
% 
% cnf(142713840,plain,(~incident_c(p(A,B,C),A)|part_of(B,A)),inference(rewrite,[status(thm)],[part_of_defn]),[]).
% 
% cnf(156754864,plain,(~incident_c(p(c3,c1,A),c3)),inference(resolution,[status(thm)],[142713840,143179696]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162102848,156754864]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------