%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 : Wed May 31 12:29:57 EDT 2023

% Result   : Theorem 0.15s 0.60s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (   5 unt;   0 def)
%            Number of atoms       :   57 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   47 (  18   ~;  15   |;  10   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (;   7   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,hypothesis,
    ( aSet0(xT)
    & isFinite0(xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,hypothesis,
    ! [W0] :
      ( aElementOf0(W0,xO)
     => ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,hypothesis,
    ( aElementOf0(xx,szNzAzT0)
    & aElementOf0(xx,xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,conjecture,
    ? [W0] :
      ( aElementOf0(W0,szNzAzT0)
      & xx = sdtlpdtrp0(xe,W0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f116,negated_conjecture,
    ~ ? [W0] :
        ( aElementOf0(W0,szNzAzT0)
        & xx = sdtlpdtrp0(xe,W0) ),
    inference(negated_conjecture,[status(cth)],[f115]) ).

fof(f374,plain,
    isFinite0(xT),
    inference(cnf_transformation,[status(esa)],[f73]) ).

fof(f441,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,xO)
      | ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f97]) ).

fof(f442,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,xO)
      | ( aElementOf0(sk0_24(W0),szNzAzT0)
        & aElementOf0(sk0_24(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,sk0_24(W0)) = W0 ) ),
    inference(skolemization,[status(esa)],[f441]) ).

fof(f443,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | aElementOf0(sk0_24(X0),szNzAzT0) ),
    inference(cnf_transformation,[status(esa)],[f442]) ).

fof(f445,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | sdtlpdtrp0(xe,sk0_24(X0)) = X0 ),
    inference(cnf_transformation,[status(esa)],[f442]) ).

fof(f467,plain,
    aElementOf0(xx,xO),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f468,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,szNzAzT0)
      | xx != sdtlpdtrp0(xe,W0) ),
    inference(pre_NNF_transformation,[status(esa)],[f116]) ).

fof(f469,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | xx != sdtlpdtrp0(xe,X0) ),
    inference(cnf_transformation,[status(esa)],[f468]) ).

fof(f2070,plain,
    ( spl0_208
  <=> aElementOf0(xx,xO) ),
    introduced(split_symbol_definition) ).

fof(f2072,plain,
    ( ~ aElementOf0(xx,xO)
    | spl0_208 ),
    inference(component_clause,[status(thm)],[f2070]) ).

fof(f2073,plain,
    ( spl0_209
  <=> aElementOf0(sk0_24(xx),szNzAzT0) ),
    introduced(split_symbol_definition) ).

fof(f2075,plain,
    ( ~ aElementOf0(sk0_24(xx),szNzAzT0)
    | spl0_209 ),
    inference(component_clause,[status(thm)],[f2073]) ).

fof(f2076,plain,
    ( ~ aElementOf0(xx,xO)
    | ~ aElementOf0(sk0_24(xx),szNzAzT0) ),
    inference(resolution,[status(thm)],[f445,f469]) ).

fof(f2077,plain,
    ( ~ spl0_208
    | ~ spl0_209 ),
    inference(split_clause,[status(thm)],[f2076,f2070,f2073]) ).

fof(f2078,plain,
    ( $false
    | spl0_208 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2072,f467]) ).

fof(f2079,plain,
    spl0_208,
    inference(contradiction_clause,[status(thm)],[f2078]) ).

fof(f2080,plain,
    ( spl0_210
  <=> isFinite0(xT) ),
    introduced(split_symbol_definition) ).

fof(f2082,plain,
    ( ~ isFinite0(xT)
    | spl0_210 ),
    inference(component_clause,[status(thm)],[f2080]) ).

fof(f2115,plain,
    ( $false
    | spl0_210 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2082,f374]) ).

fof(f2116,plain,
    spl0_210,
    inference(contradiction_clause,[status(thm)],[f2115]) ).

fof(f2262,plain,
    ( ~ aElementOf0(xx,xO)
    | spl0_209 ),
    inference(resolution,[status(thm)],[f2075,f443]) ).

fof(f2263,plain,
    ( ~ spl0_208
    | spl0_209 ),
    inference(split_clause,[status(thm)],[f2262,f2070,f2073]) ).

fof(f2264,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2077,f2079,f2116,f2263]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n032.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 09:56:46 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.60  % Refutation found
% 0.15/0.60  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.60  % Elapsed time: 0.075454 seconds
% 0.15/0.60  % CPU time: 0.067096 seconds
% 0.15/0.60  % Memory used: 11.019 MB
%------------------------------------------------------------------------------