TSTP Solution File: SWV369+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV369+1 : TPTP v3.4.2. Released v3.3.0.
% 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 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 16:34:01 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    :   14 (  10 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   24 (  12   ~;   8   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   19 (   9 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ax39,plain,
    ! [A,B,C,D] :
      ( ( ~ contains_cpq(triple(A,B,C),D)
        | contains_slb(B,D) )
      & ( contains_cpq(triple(A,B,C),D)
        | ~ contains_slb(B,D) ) ),
    file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),
    [] ).

cnf(166137056,plain,
    ( ~ contains_cpq(triple(A,B,C),D)
    | contains_slb(B,D) ),
    inference(rewrite,[status(thm)],[ax39]),
    [] ).

fof(ax20,plain,
    ! [A] : ~ contains_slb(create_slb,A),
    file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),
    [] ).

cnf(165757040,plain,
    ~ contains_slb(create_slb,A),
    inference(rewrite,[status(thm)],[ax20]),
    [] ).

cnf(178076560,plain,
    ~ contains_cpq(triple(A,create_slb,B),C),
    inference(resolution,[status(thm)],[166137056,165757040]),
    [] ).

fof(l5_co,plain,
    ( ( contains_pq(i(triple(u,create_slb,v)),w)
      | contains_cpq(triple(u,create_slb,v),w) )
    & ( ~ contains_cpq(triple(u,create_slb,v),w)
      | contains_cpq(triple(u,create_slb,v),w) )
    & ( contains_pq(i(triple(u,create_slb,v)),w)
      | ~ contains_pq(i(triple(u,create_slb,v)),w) )
    & ( ~ contains_cpq(triple(u,create_slb,v),w)
      | ~ contains_pq(i(triple(u,create_slb,v)),w) ) ),
    file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),
    [] ).

cnf(166769976,plain,
    ( contains_pq(i(triple(u,create_slb,v)),w)
    | contains_cpq(triple(u,create_slb,v),w) ),
    inference(rewrite,[status(thm)],[l5_co]),
    [] ).

cnf(180116736,plain,
    contains_pq(i(triple(u,create_slb,v)),w),
    inference(resolution,[status(thm)],[178076560,166769976]),
    [] ).

fof(ax54,plain,
    ! [A,B] : $equal(i(triple(A,create_slb,B)),create_pq),
    file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),
    [] ).

cnf(166429296,plain,
    $equal(i(triple(A,create_slb,B)),create_pq),
    inference(rewrite,[status(thm)],[ax54]),
    [] ).

cnf(181500696,plain,
    contains_pq(create_pq,w),
    inference(paramodulation,[status(thm)],[180116736,166429296,theory(equality)]),
    [] ).

fof(ax8,plain,
    ! [A] : ~ contains_pq(create_pq,A),
    file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),
    [] ).

cnf(165472632,plain,
    ~ contains_pq(create_pq,A),
    inference(rewrite,[status(thm)],[ax8]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[181500696,165472632]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ax39,plain,(((~contains_cpq(triple(A,B,C),D)|contains_slb(B,D))&(contains_cpq(triple(A,B,C),D)|~contains_slb(B,D)))),file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),[]).
% 
% cnf(166137056,plain,(~contains_cpq(triple(A,B,C),D)|contains_slb(B,D)),inference(rewrite,[status(thm)],[ax39]),[]).
% 
% fof(ax20,plain,(~contains_slb(create_slb,A)),file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),[]).
% 
% cnf(165757040,plain,(~contains_slb(create_slb,A)),inference(rewrite,[status(thm)],[ax20]),[]).
% 
% cnf(178076560,plain,(~contains_cpq(triple(A,create_slb,B),C)),inference(resolution,[status(thm)],[166137056,165757040]),[]).
% 
% fof(l5_co,plain,(((contains_pq(i(triple(u,create_slb,v)),w)|contains_cpq(triple(u,create_slb,v),w))&(~contains_cpq(triple(u,create_slb,v),w)|contains_cpq(triple(u,create_slb,v),w))&(contains_pq(i(triple(u,create_slb,v)),w)|~contains_pq(i(triple(u,create_slb,v)),w))&(~contains_cpq(triple(u,create_slb,v),w)|~contains_pq(i(triple(u,create_slb,v)),w)))),file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),[]).
% 
% cnf(166769976,plain,(contains_pq(i(triple(u,create_slb,v)),w)|contains_cpq(triple(u,create_slb,v),w)),inference(rewrite,[status(thm)],[l5_co]),[]).
% 
% cnf(180116736,plain,(contains_pq(i(triple(u,create_slb,v)),w)),inference(resolution,[status(thm)],[178076560,166769976]),[]).
% 
% fof(ax54,plain,($equal(i(triple(A,create_slb,B)),create_pq)),file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),[]).
% 
% cnf(166429296,plain,($equal(i(triple(A,create_slb,B)),create_pq)),inference(rewrite,[status(thm)],[ax54]),[]).
% 
% cnf(181500696,plain,(contains_pq(create_pq,w)),inference(paramodulation,[status(thm)],[180116736,166429296,theory(equality)]),[]).
% 
% fof(ax8,plain,(~contains_pq(create_pq,A)),file('/tmp/SystemOnTPTP11203/SWV369+1.p',unknown),[]).
% 
% cnf(165472632,plain,(~contains_pq(create_pq,A)),inference(rewrite,[status(thm)],[ax8]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181500696,165472632]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------