TSTP Solution File: GEO080+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO080+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 11:54:54 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   14 (   6   ~;   6   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-3 aty)
%            Number of variables   :   10 (   3 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/GEO080+1.tptp',unknown),
    [] ).

cnf(142761624,plain,
    ( incident_c(p(A,B,C),B)
    | part_of(B,A) ),
    inference(rewrite,[status(thm)],[part_of_defn]),
    [] ).

fof(prove_reflexivity,plain,
    ~ part_of(c,c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO080+1.tptp',unknown),
    [] ).

cnf(143210208,plain,
    ~ part_of(c,c),
    inference(rewrite,[status(thm)],[prove_reflexivity]),
    [] ).

cnf(151146856,plain,
    incident_c(p(c,c,A),c),
    inference(resolution,[status(thm)],[142761624,143210208]),
    [] ).

cnf(142769000,plain,
    ( ~ incident_c(p(A,B,C),A)
    | part_of(B,A) ),
    inference(rewrite,[status(thm)],[part_of_defn]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[151146856,142769000,143210208]),
    [] ).

%------------------------------------------------------------------------------
%----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/GEO080+1.tptp',unknown),[]).
% 
% cnf(142761624,plain,(incident_c(p(A,B,C),B)|part_of(B,A)),inference(rewrite,[status(thm)],[part_of_defn]),[]).
% 
% fof(prove_reflexivity,plain,(~part_of(c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO080+1.tptp',unknown),[]).
% 
% cnf(143210208,plain,(~part_of(c,c)),inference(rewrite,[status(thm)],[prove_reflexivity]),[]).
% 
% cnf(151146856,plain,(incident_c(p(c,c,A),c)),inference(resolution,[status(thm)],[142761624,143210208]),[]).
% 
% cnf(142769000,plain,(~incident_c(p(A,B,C),A)|part_of(B,A)),inference(rewrite,[status(thm)],[part_of_defn]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[151146856,142769000,143210208]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------