TSTP Solution File: SWV405+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV405+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:34:54 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :   36 (   6 avg)
%            Number of connectives :   59 (  24   ~;  24   |;  11   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   10 (   4 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l41_co,plain,
    ! [E,F] :
      ( ( ~ check_cpq(triple(u,create_slb,v))
        | ~ check_cpq(triple(u,create_slb,v))
        | check_cpq(triple(u,create_slb,v)) )
      & ( ~ pair_in_list(create_slb,E,F)
        | ~ check_cpq(triple(u,create_slb,v))
        | check_cpq(triple(u,create_slb,v)) )
      & ( ~ check_cpq(triple(u,create_slb,v))
        | less_than(F,E)
        | check_cpq(triple(u,create_slb,v)) )
      & ( ~ pair_in_list(create_slb,E,F)
        | less_than(F,E)
        | check_cpq(triple(u,create_slb,v)) )
      & ( ~ check_cpq(triple(u,create_slb,v))
        | ~ check_cpq(triple(u,create_slb,v))
        | pair_in_list(create_slb,w_nn_1,x_nn_2) )
      & ( ~ pair_in_list(create_slb,E,F)
        | ~ check_cpq(triple(u,create_slb,v))
        | pair_in_list(create_slb,w_nn_1,x_nn_2) )
      & ( ~ check_cpq(triple(u,create_slb,v))
        | less_than(F,E)
        | pair_in_list(create_slb,w_nn_1,x_nn_2) )
      & ( ~ pair_in_list(create_slb,E,F)
        | less_than(F,E)
        | pair_in_list(create_slb,w_nn_1,x_nn_2) )
      & ( ~ check_cpq(triple(u,create_slb,v))
        | ~ check_cpq(triple(u,create_slb,v))
        | ~ less_than(x_nn_2,w_nn_1) )
      & ( ~ pair_in_list(create_slb,E,F)
        | ~ check_cpq(triple(u,create_slb,v))
        | ~ less_than(x_nn_2,w_nn_1) )
      & ( ~ check_cpq(triple(u,create_slb,v))
        | less_than(F,E)
        | ~ less_than(x_nn_2,w_nn_1) )
      & ( ~ pair_in_list(create_slb,E,F)
        | less_than(F,E)
        | ~ less_than(x_nn_2,w_nn_1) ) ),
    file('/tmp/SystemOnTPTP4175/SWV405+1.p',unknown),
    [] ).

fof(ax36,plain,
    ! [A,B] : check_cpq(triple(A,create_slb,B)),
    file('/tmp/SystemOnTPTP4175/SWV405+1.p',unknown),
    [] ).

cnf(147269416,plain,
    check_cpq(triple(A,create_slb,B)),
    inference(rewrite,[status(thm)],[ax36]),
    [] ).

cnf(147798712,plain,
    pair_in_list(create_slb,w_nn_1,x_nn_2),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[l41_co,147269416]),
    [] ).

fof(ax22,plain,
    ! [A,B] : ~ pair_in_list(create_slb,A,B),
    file('/tmp/SystemOnTPTP4175/SWV405+1.p',unknown),
    [] ).

cnf(147052464,plain,
    ~ pair_in_list(create_slb,A,B),
    inference(rewrite,[status(thm)],[ax22]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[147798712,147052464]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l41_co,plain,(((~check_cpq(triple(u,create_slb,v))|~check_cpq(triple(u,create_slb,v))|check_cpq(triple(u,create_slb,v)))&(~pair_in_list(create_slb,E,F)|~check_cpq(triple(u,create_slb,v))|check_cpq(triple(u,create_slb,v)))&(~check_cpq(triple(u,create_slb,v))|less_than(F,E)|check_cpq(triple(u,create_slb,v)))&(~pair_in_list(create_slb,E,F)|less_than(F,E)|check_cpq(triple(u,create_slb,v)))&(~check_cpq(triple(u,create_slb,v))|~check_cpq(triple(u,create_slb,v))|pair_in_list(create_slb,w_nn_1,x_nn_2))&(~pair_in_list(create_slb,E,F)|~check_cpq(triple(u,create_slb,v))|pair_in_list(create_slb,w_nn_1,x_nn_2))&(~check_cpq(triple(u,create_slb,v))|less_than(F,E)|pair_in_list(create_slb,w_nn_1,x_nn_2))&(~pair_in_list(create_slb,E,F)|less_than(F,E)|pair_in_list(create_slb,w_nn_1,x_nn_2))&(~check_cpq(triple(u,create_slb,v))|~check_cpq(triple(u,create_slb,v))|~less_than(x_nn_2,w_nn_1))&(~pair_in_list(create_slb,E,F)|~check_cpq(triple(u,create_slb,v))|~less_than(x_nn_2,w_nn_1))&(~check_cpq(triple(u,create_slb,v))|less_than(F,E)|~less_than(x_nn_2,w_nn_1))&(~pair_in_list(create_slb,E,F)|less_than(F,E)|~less_than(x_nn_2,w_nn_1)))),file('/tmp/SystemOnTPTP4175/SWV405+1.p',unknown),[]).
% 
% fof(ax36,plain,(check_cpq(triple(A,create_slb,B))),file('/tmp/SystemOnTPTP4175/SWV405+1.p',unknown),[]).
% 
% cnf(147269416,plain,(check_cpq(triple(A,create_slb,B))),inference(rewrite,[status(thm)],[ax36]),[]).
% 
% cnf(147798712,plain,(pair_in_list(create_slb,w_nn_1,x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[l41_co,147269416]),[]).
% 
% fof(ax22,plain,(~pair_in_list(create_slb,A,B)),file('/tmp/SystemOnTPTP4175/SWV405+1.p',unknown),[]).
% 
% cnf(147052464,plain,(~pair_in_list(create_slb,A,B)),inference(rewrite,[status(thm)],[ax22]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[147798712,147052464]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------