TSTP Solution File: NLP147-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : NLP147-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 14:43:31 EDT 2009

% Result   : Unsatisfiable 5.0s
% Output   : Refutation 5.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   45 (  16 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   61 (  32   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   66 (  12 sgn  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause88,plain,
    ! [A] :
      ( ~ member(skc6,A,skc7)
      | fellow(skc6,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(147019584,plain,
    ( ~ member(skc6,A,skc7)
    | fellow(skc6,A) ),
    inference(rewrite,[status(thm)],[clause88]),
    [] ).

fof(clause60,plain,
    ! [A,B] :
      ( ~ two(A,B)
      | member(A,skf10(B,A),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146627784,plain,
    ( ~ two(A,B)
    | member(A,skf10(B,A),B) ),
    inference(rewrite,[status(thm)],[clause60]),
    [] ).

fof(clause77,plain,
    two(skc6,skc7),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(145813432,plain,
    two(skc6,skc7),
    inference(rewrite,[status(thm)],[clause77]),
    [] ).

cnf(223275208,plain,
    member(skc6,skf10(skc7,skc6),skc7),
    inference(resolution,[status(thm)],[146627784,145813432]),
    [] ).

cnf(224144464,plain,
    fellow(skc6,skf10(skc7,skc6)),
    inference(resolution,[status(thm)],[147019584,223275208]),
    [] ).

fof(clause14,plain,
    ! [A,B] :
      ( ~ man(A,B)
      | male(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(145993456,plain,
    ( ~ man(A,B)
    | male(A,B) ),
    inference(rewrite,[status(thm)],[clause14]),
    [] ).

fof(clause2,plain,
    ! [A,B] :
      ( ~ fellow(A,B)
      | man(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(145833536,plain,
    ( ~ fellow(A,B)
    | man(A,B) ),
    inference(rewrite,[status(thm)],[clause2]),
    [] ).

cnf(224678656,plain,
    ( male(A,B)
    | ~ fellow(A,B) ),
    inference(resolution,[status(thm)],[145993456,145833536]),
    [] ).

cnf(237057536,plain,
    male(skc6,skf10(skc7,skc6)),
    inference(resolution,[status(thm)],[224144464,224678656]),
    [] ).

fof(clause59,plain,
    ! [A,B,C,D] :
      ( ~ be(A,B,C,D)
      | $equal(D,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146610808,plain,
    ( ~ be(A,B,C,D)
    | $equal(D,C) ),
    inference(rewrite,[status(thm)],[clause59]),
    [] ).

fof(clause92,plain,
    ! [A] :
      ( ~ member(skc6,A,skc7)
      | be(skc6,skf6(A),A,skf5(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(147079912,plain,
    ( ~ member(skc6,A,skc7)
    | be(skc6,skf6(A),A,skf5(A)) ),
    inference(rewrite,[status(thm)],[clause92]),
    [] ).

cnf(224199416,plain,
    be(skc6,skf6(skf10(skc7,skc6)),skf10(skc7,skc6),skf5(skf10(skc7,skc6))),
    inference(resolution,[status(thm)],[147079912,223275208]),
    [] ).

cnf(224502016,plain,
    $equal(skf5(skf10(skc7,skc6)),skf10(skc7,skc6)),
    inference(resolution,[status(thm)],[146610808,224199416]),
    [] ).

fof(clause52,plain,
    ! [A,B] :
      ( ~ male(A,B)
      | ~ unisex(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146508936,plain,
    ( ~ male(A,B)
    | ~ unisex(A,B) ),
    inference(rewrite,[status(thm)],[clause52]),
    [] ).

fof(clause50,plain,
    ! [A,B] :
      ( ~ furniture(A,B)
      | instrumentality(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146482200,plain,
    ( ~ furniture(A,B)
    | instrumentality(A,B) ),
    inference(rewrite,[status(thm)],[clause50]),
    [] ).

fof(clause49,plain,
    ! [A,B] :
      ( ~ seat(A,B)
      | furniture(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146468392,plain,
    ( ~ seat(A,B)
    | furniture(A,B) ),
    inference(rewrite,[status(thm)],[clause49]),
    [] ).

fof(clause48,plain,
    ! [A,B] :
      ( ~ frontseat(A,B)
      | seat(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146454520,plain,
    ( ~ frontseat(A,B)
    | seat(A,B) ),
    inference(rewrite,[status(thm)],[clause48]),
    [] ).

fof(clause89,plain,
    ! [A,B] :
      ( ~ member(skc6,A,skc7)
      | frontseat(skc6,skf5(B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(147035456,plain,
    ( ~ member(skc6,A,skc7)
    | frontseat(skc6,skf5(B)) ),
    inference(rewrite,[status(thm)],[clause89]),
    [] ).

cnf(224156384,plain,
    frontseat(skc6,skf5(A)),
    inference(resolution,[status(thm)],[147035456,223275208]),
    [] ).

cnf(224211400,plain,
    seat(skc6,skf5(A)),
    inference(resolution,[status(thm)],[146454520,224156384]),
    [] ).

cnf(224253792,plain,
    furniture(skc6,skf5(A)),
    inference(resolution,[status(thm)],[146468392,224211400]),
    [] ).

cnf(224272360,plain,
    instrumentality(skc6,skf5(A)),
    inference(resolution,[status(thm)],[146482200,224253792]),
    [] ).

fof(clause30,plain,
    ! [A,B] :
      ( ~ instrumentality(A,B)
      | artifact(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146210952,plain,
    ( ~ instrumentality(A,B)
    | artifact(A,B) ),
    inference(rewrite,[status(thm)],[clause30]),
    [] ).

cnf(225414152,plain,
    artifact(skc6,skf5(A)),
    inference(resolution,[status(thm)],[224272360,146210952]),
    [] ).

fof(clause31,plain,
    ! [A,B] :
      ( ~ artifact(A,B)
      | object(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146225208,plain,
    ( ~ artifact(A,B)
    | object(A,B) ),
    inference(rewrite,[status(thm)],[clause31]),
    [] ).

cnf(225422888,plain,
    object(skc6,skf5(A)),
    inference(resolution,[status(thm)],[225414152,146225208]),
    [] ).

fof(clause35,plain,
    ! [A,B] :
      ( ~ object(A,B)
      | unisex(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),
    [] ).

cnf(146273624,plain,
    ( ~ object(A,B)
    | unisex(A,B) ),
    inference(rewrite,[status(thm)],[clause35]),
    [] ).

cnf(225455312,plain,
    unisex(skc6,skf5(A)),
    inference(resolution,[status(thm)],[225422888,146273624]),
    [] ).

cnf(226806856,plain,
    ~ male(skc6,skf5(A)),
    inference(resolution,[status(thm)],[146508936,225455312]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[237057536,224502016,226806856,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 5 seconds
% START OF PROOF SEQUENCE
% fof(clause88,plain,(~member(skc6,A,skc7)|fellow(skc6,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(147019584,plain,(~member(skc6,A,skc7)|fellow(skc6,A)),inference(rewrite,[status(thm)],[clause88]),[]).
% 
% fof(clause60,plain,(~two(A,B)|member(A,skf10(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146627784,plain,(~two(A,B)|member(A,skf10(B,A),B)),inference(rewrite,[status(thm)],[clause60]),[]).
% 
% fof(clause77,plain,(two(skc6,skc7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(145813432,plain,(two(skc6,skc7)),inference(rewrite,[status(thm)],[clause77]),[]).
% 
% cnf(223275208,plain,(member(skc6,skf10(skc7,skc6),skc7)),inference(resolution,[status(thm)],[146627784,145813432]),[]).
% 
% cnf(224144464,plain,(fellow(skc6,skf10(skc7,skc6))),inference(resolution,[status(thm)],[147019584,223275208]),[]).
% 
% fof(clause14,plain,(~man(A,B)|male(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(145993456,plain,(~man(A,B)|male(A,B)),inference(rewrite,[status(thm)],[clause14]),[]).
% 
% fof(clause2,plain,(~fellow(A,B)|man(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(145833536,plain,(~fellow(A,B)|man(A,B)),inference(rewrite,[status(thm)],[clause2]),[]).
% 
% cnf(224678656,plain,(male(A,B)|~fellow(A,B)),inference(resolution,[status(thm)],[145993456,145833536]),[]).
% 
% cnf(237057536,plain,(male(skc6,skf10(skc7,skc6))),inference(resolution,[status(thm)],[224144464,224678656]),[]).
% 
% fof(clause59,plain,(~be(A,B,C,D)|$equal(D,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146610808,plain,(~be(A,B,C,D)|$equal(D,C)),inference(rewrite,[status(thm)],[clause59]),[]).
% 
% fof(clause92,plain,(~member(skc6,A,skc7)|be(skc6,skf6(A),A,skf5(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(147079912,plain,(~member(skc6,A,skc7)|be(skc6,skf6(A),A,skf5(A))),inference(rewrite,[status(thm)],[clause92]),[]).
% 
% cnf(224199416,plain,(be(skc6,skf6(skf10(skc7,skc6)),skf10(skc7,skc6),skf5(skf10(skc7,skc6)))),inference(resolution,[status(thm)],[147079912,223275208]),[]).
% 
% cnf(224502016,plain,($equal(skf5(skf10(skc7,skc6)),skf10(skc7,skc6))),inference(resolution,[status(thm)],[146610808,224199416]),[]).
% 
% fof(clause52,plain,(~male(A,B)|~unisex(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146508936,plain,(~male(A,B)|~unisex(A,B)),inference(rewrite,[status(thm)],[clause52]),[]).
% 
% fof(clause50,plain,(~furniture(A,B)|instrumentality(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146482200,plain,(~furniture(A,B)|instrumentality(A,B)),inference(rewrite,[status(thm)],[clause50]),[]).
% 
% fof(clause49,plain,(~seat(A,B)|furniture(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146468392,plain,(~seat(A,B)|furniture(A,B)),inference(rewrite,[status(thm)],[clause49]),[]).
% 
% fof(clause48,plain,(~frontseat(A,B)|seat(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146454520,plain,(~frontseat(A,B)|seat(A,B)),inference(rewrite,[status(thm)],[clause48]),[]).
% 
% fof(clause89,plain,(~member(skc6,A,skc7)|frontseat(skc6,skf5(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(147035456,plain,(~member(skc6,A,skc7)|frontseat(skc6,skf5(B))),inference(rewrite,[status(thm)],[clause89]),[]).
% 
% cnf(224156384,plain,(frontseat(skc6,skf5(A))),inference(resolution,[status(thm)],[147035456,223275208]),[]).
% 
% cnf(224211400,plain,(seat(skc6,skf5(A))),inference(resolution,[status(thm)],[146454520,224156384]),[]).
% 
% cnf(224253792,plain,(furniture(skc6,skf5(A))),inference(resolution,[status(thm)],[146468392,224211400]),[]).
% 
% cnf(224272360,plain,(instrumentality(skc6,skf5(A))),inference(resolution,[status(thm)],[146482200,224253792]),[]).
% 
% fof(clause30,plain,(~instrumentality(A,B)|artifact(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146210952,plain,(~instrumentality(A,B)|artifact(A,B)),inference(rewrite,[status(thm)],[clause30]),[]).
% 
% cnf(225414152,plain,(artifact(skc6,skf5(A))),inference(resolution,[status(thm)],[224272360,146210952]),[]).
% 
% fof(clause31,plain,(~artifact(A,B)|object(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146225208,plain,(~artifact(A,B)|object(A,B)),inference(rewrite,[status(thm)],[clause31]),[]).
% 
% cnf(225422888,plain,(object(skc6,skf5(A))),inference(resolution,[status(thm)],[225414152,146225208]),[]).
% 
% fof(clause35,plain,(~object(A,B)|unisex(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NLP/NLP147-1.tptp',unknown),[]).
% 
% cnf(146273624,plain,(~object(A,B)|unisex(A,B)),inference(rewrite,[status(thm)],[clause35]),[]).
% 
% cnf(225455312,plain,(unisex(skc6,skf5(A))),inference(resolution,[status(thm)],[225422888,146273624]),[]).
% 
% cnf(226806856,plain,(~male(skc6,skf5(A))),inference(resolution,[status(thm)],[146508936,225455312]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[237057536,224502016,226806856,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------