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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : NUM615+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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 17:36:19 EDT 2024

% Result   : Theorem 144.11s 144.30s
% Output   : Refutation 144.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   42 (  13 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   40 (  16   ~;  11   |;  12   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn   7   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5182,plain,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).

cnf(c31,plain,
    aElementOf0(xp,xO),
    inference(split_conjunct,[status(thm)],[m__5182]) ).

fof(m__4982,plain,
    ! [W0] :
      ( aElementOf0(W0,xO)
     => ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).

fof(c42,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,xO)
      | ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    inference(fof_nnf,[status(thm)],[m__4982]) ).

fof(c43,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,xO)
      | ? [X4] :
          ( aElementOf0(X4,szNzAzT0)
          & aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X4) = X3 ) ),
    inference(variable_rename,[status(thm)],[c42]) ).

fof(c44,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,xO)
      | ( aElementOf0(skolem0001(X3),szNzAzT0)
        & aElementOf0(skolem0001(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,skolem0001(X3)) = X3 ) ),
    inference(skolemize,[status(esa)],[c43]) ).

fof(c45,plain,
    ! [X3] :
      ( ( ~ aElementOf0(X3,xO)
        | aElementOf0(skolem0001(X3),szNzAzT0) )
      & ( ~ aElementOf0(X3,xO)
        | aElementOf0(skolem0001(X3),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( ~ aElementOf0(X3,xO)
        | sdtlpdtrp0(xe,skolem0001(X3)) = X3 ) ),
    inference(distribute,[status(thm)],[c44]) ).

cnf(c48,plain,
    ( ~ aElementOf0(X302,xO)
    | sdtlpdtrp0(xe,skolem0001(X302)) = X302 ),
    inference(split_conjunct,[status(thm)],[c45]) ).

cnf(c1012,plain,
    sdtlpdtrp0(xe,skolem0001(xp)) = xp,
    inference(resolution,[status(thm)],[c48,c31]) ).

fof(m__,conjecture,
    ? [W0] :
      ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      & sdtlpdtrp0(xe,W0) = xp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(c23,negated_conjecture,
    ~ ? [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,W0) = xp ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c24,negated_conjecture,
    ! [W0] :
      ( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | sdtlpdtrp0(xe,W0) != xp ),
    inference(fof_nnf,[status(thm)],[c23]) ).

fof(c25,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | sdtlpdtrp0(xe,X2) != xp ),
    inference(variable_rename,[status(thm)],[c24]) ).

cnf(c26,negated_conjecture,
    ( ~ aElementOf0(X296,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | sdtlpdtrp0(xe,X296) != xp ),
    inference(split_conjunct,[status(thm)],[c25]) ).

cnf(c47,plain,
    ( ~ aElementOf0(X301,xO)
    | aElementOf0(skolem0001(X301),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(split_conjunct,[status(thm)],[c45]) ).

cnf(c1006,plain,
    aElementOf0(skolem0001(xp),sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(resolution,[status(thm)],[c47,c31]) ).

cnf(c43486,plain,
    sdtlpdtrp0(xe,skolem0001(xp)) != xp,
    inference(resolution,[status(thm)],[c1006,c26]) ).

cnf(c176594,plain,
    $false,
    inference(resolution,[status(thm)],[c43486,c1012]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NUM615+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed May  8 16:15:23 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 144.11/144.30  % Version:  1.5
% 144.11/144.30  % SZS status Theorem
% 144.11/144.30  % SZS output start CNFRefutation
% See solution above
% 144.11/144.30  
% 144.11/144.30  % Initial clauses    : 241
% 144.11/144.30  % Processed clauses  : 3674
% 144.11/144.30  % Factors computed   : 42
% 144.11/144.30  % Resolvents computed: 176051
% 144.11/144.30  % Tautologies deleted: 30
% 144.11/144.30  % Forward subsumed   : 583
% 144.11/144.30  % Backward subsumed  : 60
% 144.11/144.30  % -------- CPU Time ---------
% 144.11/144.30  % User time          : 143.578 s
% 144.11/144.30  % System time        : 0.360 s
% 144.11/144.30  % Total time         : 143.938 s
%------------------------------------------------------------------------------