%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : RNG086+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu May  9 17:38:21 EDT 2024

% Result   : Theorem 3.65s 3.94s
% Output   : Refutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   52 (  15 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   50 (  14   ~;   8   |;  28   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn   4   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__901,plain,
    ( ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & sdtpldt0(W0,W1) = xx )
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & sdtpldt0(W0,W1) = xy )
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).

fof(c13,plain,
    ( ? [X4,X5] :
        ( aElementOf0(X4,xI)
        & aElementOf0(X5,xJ)
        & sdtpldt0(X4,X5) = xx )
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & ? [X6,X7] :
        ( aElementOf0(X6,xI)
        & aElementOf0(X7,xJ)
        & sdtpldt0(X6,X7) = xy )
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    inference(variable_rename,[status(thm)],[m__901]) ).

fof(c14,plain,
    ( aElementOf0(skolem0001,xI)
    & aElementOf0(skolem0002,xJ)
    & sdtpldt0(skolem0001,skolem0002) = xx
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & aElementOf0(skolem0003,xI)
    & aElementOf0(skolem0004,xJ)
    & sdtpldt0(skolem0003,skolem0004) = xy
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    inference(skolemize,[status(esa)],[c13]) ).

cnf(c15,plain,
    aElementOf0(skolem0001,xI),
    inference(split_conjunct,[status(thm)],[c14]) ).

cnf(c16,plain,
    aElementOf0(skolem0002,xJ),
    inference(split_conjunct,[status(thm)],[c14]) ).

fof(m__,conjecture,
    ? [W0,W1] :
      ( aElementOf0(W0,xI)
      & aElementOf0(W1,xJ)
      & xx = sdtpldt0(W0,W1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(c9,negated_conjecture,
    ~ ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & xx = sdtpldt0(W0,W1) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c10,negated_conjecture,
    ! [W0,W1] :
      ( ~ aElementOf0(W0,xI)
      | ~ aElementOf0(W1,xJ)
      | xx != sdtpldt0(W0,W1) ),
    inference(fof_nnf,[status(thm)],[c9]) ).

fof(c11,negated_conjecture,
    ! [X2,X3] :
      ( ~ aElementOf0(X2,xI)
      | ~ aElementOf0(X3,xJ)
      | xx != sdtpldt0(X2,X3) ),
    inference(variable_rename,[status(thm)],[c10]) ).

cnf(c12,negated_conjecture,
    ( ~ aElementOf0(X121,xI)
    | ~ aElementOf0(X122,xJ)
    | xx != sdtpldt0(X121,X122) ),
    inference(split_conjunct,[status(thm)],[c11]) ).

cnf(symmetry,axiom,
    ( X76 != X77
    | X77 = X76 ),
    theory(equality) ).

cnf(c17,plain,
    sdtpldt0(skolem0001,skolem0002) = xx,
    inference(split_conjunct,[status(thm)],[c14]) ).

cnf(c177,plain,
    xx = sdtpldt0(skolem0001,skolem0002),
    inference(resolution,[status(thm)],[c17,symmetry]) ).

cnf(c239,plain,
    ( ~ aElementOf0(skolem0001,xI)
    | ~ aElementOf0(skolem0002,xJ) ),
    inference(resolution,[status(thm)],[c177,c12]) ).

cnf(c13591,plain,
    ~ aElementOf0(skolem0001,xI),
    inference(resolution,[status(thm)],[c239,c16]) ).

cnf(c13592,plain,
    $false,
    inference(resolution,[status(thm)],[c13591,c15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : RNG086+2 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Wed May  8 21:16:38 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 3.65/3.94  % Version:  1.5
% 3.65/3.94  % SZS status Theorem
% 3.65/3.94  % SZS output start CNFRefutation
% See solution above
% 3.65/3.94  
% 3.65/3.94  % Initial clauses    : 84
% 3.65/3.94  % Processed clauses  : 520
% 3.65/3.94  % Factors computed   : 34
% 3.65/3.94  % Resolvents computed: 13408
% 3.65/3.94  % Tautologies deleted: 5
% 3.65/3.94  % Forward subsumed   : 76
% 3.65/3.94  % Backward subsumed  : 9
% 3.65/3.94  % -------- CPU Time ---------
% 3.65/3.94  % User time          : 3.483 s
% 3.65/3.94  % System time        : 0.035 s
% 3.65/3.94  % Total time         : 3.518 s
%------------------------------------------------------------------------------