TSTP Solution File: KRS125+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS125+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 13:28:22 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   42 (  20   ~;  18   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   17 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_3,plain,
    ! [A] :
      ( ~ cc(A)
      | cdxcomp(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
    [] ).

cnf(161707880,plain,
    ( ~ cc(A)
    | cdxcomp(A) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

fof(axiom_10,plain,
    ! [A] :
      ( ~ ce3(A)
      | cc(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
    [] ).

cnf(161799336,plain,
    ( ~ ce3(A)
    | cc(A) ),
    inference(rewrite,[status(thm)],[axiom_10]),
    [] ).

fof(axiom_2,plain,
    ! [A] :
      ( ( cf(A)
        | ~ cunsatisfiable(A) )
      & ( ce3(A)
        | ~ cunsatisfiable(A) )
      & ( cunsatisfiable(A)
        | ~ ce3(A)
        | ~ cf(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
    [] ).

cnf(161689888,plain,
    ( ce3(A)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

fof(axiom_12,plain,
    cunsatisfiable(i2003_11_14_17_22_17947),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
    [] ).

cnf(161814840,plain,
    cunsatisfiable(i2003_11_14_17_22_17947),
    inference(rewrite,[status(thm)],[axiom_12]),
    [] ).

cnf(167043768,plain,
    ce3(i2003_11_14_17_22_17947),
    inference(resolution,[status(thm)],[161689888,161814840]),
    [] ).

cnf(167065712,plain,
    cc(i2003_11_14_17_22_17947),
    inference(resolution,[status(thm)],[161799336,167043768]),
    [] ).

cnf(167083512,plain,
    cdxcomp(i2003_11_14_17_22_17947),
    inference(resolution,[status(thm)],[161707880,167065712]),
    [] ).

fof(axiom_7,plain,
    ! [A,C] :
      ( ( ~ cdxcomp(A)
        | ra_px1(A,y0_nn_1(A)) )
      & ( cdxcomp(A)
        | ~ ra_px1(A,C) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
    [] ).

cnf(161756976,plain,
    ( ~ cdxcomp(A)
    | ra_px1(A,y0_nn_1(A)) ),
    inference(rewrite,[status(thm)],[axiom_7]),
    [] ).

fof(axiom_6,plain,
    ! [A,B] :
      ( ( ~ cd(A)
        | ~ ra_px1(A,B) )
      & ( cd(A)
        | ra_px1(A,y(A,B)) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
    [] ).

cnf(161743264,plain,
    ( ~ cd(A)
    | ~ ra_px1(A,B) ),
    inference(rewrite,[status(thm)],[axiom_6]),
    [] ).

fof(axiom_11,plain,
    ! [A] :
      ( ~ cf(A)
      | cd(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
    [] ).

cnf(161806320,plain,
    ( ~ cf(A)
    | cd(A) ),
    inference(rewrite,[status(thm)],[axiom_11]),
    [] ).

cnf(161700928,plain,
    ( cf(A)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(167052304,plain,
    cf(i2003_11_14_17_22_17947),
    inference(resolution,[status(thm)],[161700928,161814840]),
    [] ).

cnf(167075080,plain,
    cd(i2003_11_14_17_22_17947),
    inference(resolution,[status(thm)],[161806320,167052304]),
    [] ).

cnf(167103464,plain,
    ~ ra_px1(i2003_11_14_17_22_17947,A),
    inference(resolution,[status(thm)],[161743264,167075080]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[167083512,161756976,167103464]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_3,plain,(~cc(A)|cdxcomp(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
% 
% cnf(161707880,plain,(~cc(A)|cdxcomp(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% fof(axiom_10,plain,(~ce3(A)|cc(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
% 
% cnf(161799336,plain,(~ce3(A)|cc(A)),inference(rewrite,[status(thm)],[axiom_10]),[]).
% 
% fof(axiom_2,plain,(((cf(A)|~cunsatisfiable(A))&(ce3(A)|~cunsatisfiable(A))&(cunsatisfiable(A)|~ce3(A)|~cf(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
% 
% cnf(161689888,plain,(ce3(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% fof(axiom_12,plain,(cunsatisfiable(i2003_11_14_17_22_17947)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
% 
% cnf(161814840,plain,(cunsatisfiable(i2003_11_14_17_22_17947)),inference(rewrite,[status(thm)],[axiom_12]),[]).
% 
% cnf(167043768,plain,(ce3(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161689888,161814840]),[]).
% 
% cnf(167065712,plain,(cc(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161799336,167043768]),[]).
% 
% cnf(167083512,plain,(cdxcomp(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161707880,167065712]),[]).
% 
% fof(axiom_7,plain,(((~cdxcomp(A)|ra_px1(A,y0_nn_1(A)))&(cdxcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
% 
% cnf(161756976,plain,(~cdxcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_7]),[]).
% 
% fof(axiom_6,plain,(((~cd(A)|~ra_px1(A,B))&(cd(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
% 
% cnf(161743264,plain,(~cd(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_6]),[]).
% 
% fof(axiom_11,plain,(~cf(A)|cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
% 
% cnf(161806320,plain,(~cf(A)|cd(A)),inference(rewrite,[status(thm)],[axiom_11]),[]).
% 
% cnf(161700928,plain,(cf(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(167052304,plain,(cf(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161700928,161814840]),[]).
% 
% cnf(167075080,plain,(cd(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161806320,167052304]),[]).
% 
% cnf(167103464,plain,(~ra_px1(i2003_11_14_17_22_17947,A)),inference(resolution,[status(thm)],[161743264,167075080]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[167083512,161756976,167103464]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------