TSTP Solution File: KRS063+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS063+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 12:56:17 EST 2010

% Result   : Unsatisfiable 0.22s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   75 (  31   ~;  26   |;  16   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   32 (   3 sgn  20   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/tmp/tmpk3ppub/sel_KRS063+1.p_1',axiom_14) ).

fof(2,axiom,
    ~ cEuroMP(iKinnock),
    file('/tmp/tmpk3ppub/sel_KRS063+1.p_1',axiom_10) ).

fof(7,axiom,
    ! [X3] :
      ( cEuroMP(X3)
    <=> ? [X4] :
          ( risEuroMPFrom(X3,X4)
          & cowlThing(X4) ) ),
    file('/tmp/tmpk3ppub/sel_KRS063+1.p_1',axiom_3) ).

fof(8,axiom,
    ! [X3] :
      ( cowlThing(X3)
      & ~ cowlNothing(X3) ),
    file('/tmp/tmpk3ppub/sel_KRS063+1.p_1',axiom_0) ).

fof(13,axiom,
    ! [X3,X4] :
      ( risEuroMPFrom(X3,X4)
    <=> rhasEuroMP(X4,X3) ),
    file('/tmp/tmpk3ppub/sel_KRS063+1.p_1',axiom_5) ).

fof(28,plain,
    ~ cEuroMP(iKinnock),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(29,plain,
    ! [X3] :
      ( cowlThing(X3)
      & ~ cowlNothing(X3) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

cnf(31,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(32,plain,
    ~ cEuroMP(iKinnock),
    inference(split_conjunct,[status(thm)],[28]) ).

fof(48,plain,
    ! [X3] :
      ( ( ~ cEuroMP(X3)
        | ? [X4] :
            ( risEuroMPFrom(X3,X4)
            & cowlThing(X4) ) )
      & ( ! [X4] :
            ( ~ risEuroMPFrom(X3,X4)
            | ~ cowlThing(X4) )
        | cEuroMP(X3) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(49,plain,
    ! [X5] :
      ( ( ~ cEuroMP(X5)
        | ? [X6] :
            ( risEuroMPFrom(X5,X6)
            & cowlThing(X6) ) )
      & ( ! [X7] :
            ( ~ risEuroMPFrom(X5,X7)
            | ~ cowlThing(X7) )
        | cEuroMP(X5) ) ),
    inference(variable_rename,[status(thm)],[48]) ).

fof(50,plain,
    ! [X5] :
      ( ( ~ cEuroMP(X5)
        | ( risEuroMPFrom(X5,esk1_1(X5))
          & cowlThing(esk1_1(X5)) ) )
      & ( ! [X7] :
            ( ~ risEuroMPFrom(X5,X7)
            | ~ cowlThing(X7) )
        | cEuroMP(X5) ) ),
    inference(skolemize,[status(esa)],[49]) ).

fof(51,plain,
    ! [X5,X7] :
      ( ( ~ risEuroMPFrom(X5,X7)
        | ~ cowlThing(X7)
        | cEuroMP(X5) )
      & ( ~ cEuroMP(X5)
        | ( risEuroMPFrom(X5,esk1_1(X5))
          & cowlThing(esk1_1(X5)) ) ) ),
    inference(shift_quantors,[status(thm)],[50]) ).

fof(52,plain,
    ! [X5,X7] :
      ( ( ~ risEuroMPFrom(X5,X7)
        | ~ cowlThing(X7)
        | cEuroMP(X5) )
      & ( risEuroMPFrom(X5,esk1_1(X5))
        | ~ cEuroMP(X5) )
      & ( cowlThing(esk1_1(X5))
        | ~ cEuroMP(X5) ) ),
    inference(distribute,[status(thm)],[51]) ).

cnf(55,plain,
    ( cEuroMP(X1)
    | ~ cowlThing(X2)
    | ~ risEuroMPFrom(X1,X2) ),
    inference(split_conjunct,[status(thm)],[52]) ).

fof(56,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(variable_rename,[status(thm)],[29]) ).

cnf(58,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[56]) ).

fof(68,plain,
    ! [X3,X4] :
      ( ( ~ risEuroMPFrom(X3,X4)
        | rhasEuroMP(X4,X3) )
      & ( ~ rhasEuroMP(X4,X3)
        | risEuroMPFrom(X3,X4) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(69,plain,
    ! [X5,X6] :
      ( ( ~ risEuroMPFrom(X5,X6)
        | rhasEuroMP(X6,X5) )
      & ( ~ rhasEuroMP(X6,X5)
        | risEuroMPFrom(X5,X6) ) ),
    inference(variable_rename,[status(thm)],[68]) ).

cnf(70,plain,
    ( risEuroMPFrom(X1,X2)
    | ~ rhasEuroMP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(109,plain,
    ( cEuroMP(X1)
    | $false
    | ~ risEuroMPFrom(X1,X2) ),
    inference(rw,[status(thm)],[55,58,theory(equality)]),
    [unfolding] ).

cnf(112,plain,
    ( cEuroMP(X1)
    | ~ rhasEuroMP(X2,X1) ),
    inference(spm,[status(thm)],[109,70,theory(equality)]) ).

cnf(122,plain,
    cEuroMP(iKinnock),
    inference(spm,[status(thm)],[112,31,theory(equality)]) ).

cnf(123,plain,
    $false,
    inference(sr,[status(thm)],[122,32,theory(equality)]) ).

cnf(124,plain,
    $false,
    123,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS063+1.p
% --creating new selector for []
% -running prover on /tmp/tmpk3ppub/sel_KRS063+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS063+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS063+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS063+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Unsatisfiable
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------