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Faust---1.0.THM-Ref.s

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SystemOnTSTP
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%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV367+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 16:33:59 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   8   ~;   4   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   13 (   4 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ax56,plain,
    ! [A,B] :
      ( ( ~ pi_sharp_remove(A,B)
        | contains_pq(A,B) )
      & ( pi_sharp_remove(A,B)
        | ~ contains_pq(A,B) ) ),
    file('/tmp/SystemOnTPTP11099/SWV367+1.p',unknown),
    [] ).

cnf(169380336,plain,
    ( pi_sharp_remove(A,B)
    | ~ contains_pq(A,B) ),
    inference(rewrite,[status(thm)],[ax56]),
    [] ).

fof(l3_co,plain,
    ( contains_pq(i(triple(u,create_slb,v)),w)
    & ~ $equal(remove_pq(i(triple(u,create_slb,v)),w),i(remove_cpq(triple(u,create_slb,v),w))) ),
    file('/tmp/SystemOnTPTP11099/SWV367+1.p',unknown),
    [] ).

cnf(169671208,plain,
    contains_pq(i(triple(u,create_slb,v)),w),
    inference(rewrite,[status(thm)],[l3_co]),
    [] ).

cnf(182793776,plain,
    pi_sharp_remove(i(triple(u,create_slb,v)),w),
    inference(resolution,[status(thm)],[169380336,169671208]),
    [] ).

fof(ax54,plain,
    ! [A,B] : $equal(i(triple(A,create_slb,B)),create_pq),
    file('/tmp/SystemOnTPTP11099/SWV367+1.p',unknown),
    [] ).

cnf(169340968,plain,
    $equal(i(triple(A,create_slb,B)),create_pq),
    inference(rewrite,[status(thm)],[ax54]),
    [] ).

cnf(183173368,plain,
    pi_sharp_remove(create_pq,w),
    inference(paramodulation,[status(thm)],[182793776,169340968,theory(equality)]),
    [] ).

cnf(169392288,plain,
    ( ~ pi_sharp_remove(A,B)
    | contains_pq(A,B) ),
    inference(rewrite,[status(thm)],[ax56]),
    [] ).

fof(ax8,plain,
    ! [A] : ~ contains_pq(create_pq,A),
    file('/tmp/SystemOnTPTP11099/SWV367+1.p',unknown),
    [] ).

cnf(168384304,plain,
    ~ contains_pq(create_pq,A),
    inference(rewrite,[status(thm)],[ax8]),
    [] ).

cnf(180674256,plain,
    ~ pi_sharp_remove(create_pq,A),
    inference(resolution,[status(thm)],[169392288,168384304]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[183173368,180674256]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ax56,plain,(((~pi_sharp_remove(A,B)|contains_pq(A,B))&(pi_sharp_remove(A,B)|~contains_pq(A,B)))),file('/tmp/SystemOnTPTP11099/SWV367+1.p',unknown),[]).
% 
% cnf(169380336,plain,(pi_sharp_remove(A,B)|~contains_pq(A,B)),inference(rewrite,[status(thm)],[ax56]),[]).
% 
% fof(l3_co,plain,((contains_pq(i(triple(u,create_slb,v)),w)&~$equal(remove_pq(i(triple(u,create_slb,v)),w),i(remove_cpq(triple(u,create_slb,v),w))))),file('/tmp/SystemOnTPTP11099/SWV367+1.p',unknown),[]).
% 
% cnf(169671208,plain,(contains_pq(i(triple(u,create_slb,v)),w)),inference(rewrite,[status(thm)],[l3_co]),[]).
% 
% cnf(182793776,plain,(pi_sharp_remove(i(triple(u,create_slb,v)),w)),inference(resolution,[status(thm)],[169380336,169671208]),[]).
% 
% fof(ax54,plain,($equal(i(triple(A,create_slb,B)),create_pq)),file('/tmp/SystemOnTPTP11099/SWV367+1.p',unknown),[]).
% 
% cnf(169340968,plain,($equal(i(triple(A,create_slb,B)),create_pq)),inference(rewrite,[status(thm)],[ax54]),[]).
% 
% cnf(183173368,plain,(pi_sharp_remove(create_pq,w)),inference(paramodulation,[status(thm)],[182793776,169340968,theory(equality)]),[]).
% 
% cnf(169392288,plain,(~pi_sharp_remove(A,B)|contains_pq(A,B)),inference(rewrite,[status(thm)],[ax56]),[]).
% 
% fof(ax8,plain,(~contains_pq(create_pq,A)),file('/tmp/SystemOnTPTP11099/SWV367+1.p',unknown),[]).
% 
% cnf(168384304,plain,(~contains_pq(create_pq,A)),inference(rewrite,[status(thm)],[ax8]),[]).
% 
% cnf(180674256,plain,(~pi_sharp_remove(create_pq,A)),inference(resolution,[status(thm)],[169392288,168384304]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[183173368,180674256]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------