%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:46:31 EDT 2023

% Result   : Theorem 0.09s 0.30s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   3 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   69 (  27   ~;  14   |;  19   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   32 (;  23   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X] :
    ? [Y] :
    ! [Z] :
      ( big_f(Y,X)
     => ( ( big_f(X,Z)
         => big_f(X,Y) )
        & ( big_f(X,Y)
         => ( ~ big_f(X,Z)
           => ( big_f(Y,X)
              & big_f(Z,Y) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [X] :
      ? [Y] :
      ! [Z] :
        ( big_f(Y,X)
       => ( ( big_f(X,Z)
           => big_f(X,Y) )
          & ( big_f(X,Y)
           => ( ~ big_f(X,Z)
             => ( big_f(Y,X)
                & big_f(Z,Y) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [X] :
    ! [Y] :
    ? [Z] :
      ( big_f(Y,X)
      & ( ( big_f(X,Z)
          & ~ big_f(X,Y) )
        | ( big_f(X,Y)
          & ~ big_f(X,Z)
          & ( ~ big_f(Y,X)
            | ~ big_f(Z,Y) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ! [X,Y,Z] :
      ( pd0_0(Z,Y,X)
     => ( big_f(X,Z)
        & ~ big_f(X,Y) ) ),
    introduced(predicate_definition,[f3]) ).

fof(f5,plain,
    ? [X] :
    ! [Y] :
    ? [Z] :
      ( big_f(Y,X)
      & ( pd0_0(Z,Y,X)
        | ( big_f(X,Y)
          & ~ big_f(X,Z)
          & ( ~ big_f(Y,X)
            | ~ big_f(Z,Y) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f3,f4]) ).

fof(f6,plain,
    ? [X] :
      ( ! [Y] : big_f(Y,X)
      & ! [Y] :
          ( ? [Z] : pd0_0(Z,Y,X)
          | ( big_f(X,Y)
            & ? [Z] :
                ( ~ big_f(X,Z)
                & ( ~ big_f(Y,X)
                  | ~ big_f(Z,Y) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f5]) ).

fof(f7,plain,
    ( ! [Y] : big_f(Y,sk0_0)
    & ! [Y] :
        ( pd0_0(sk0_1(Y),Y,sk0_0)
        | ( big_f(sk0_0,Y)
          & ~ big_f(sk0_0,sk0_2(Y))
          & ( ~ big_f(Y,sk0_0)
            | ~ big_f(sk0_2(Y),Y) ) ) ) ),
    inference(skolemization,[status(esa)],[f6]) ).

fof(f8,plain,
    ! [X0] : big_f(X0,sk0_0),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f11,plain,
    ! [X0] :
      ( pd0_0(sk0_1(X0),X0,sk0_0)
      | ~ big_f(X0,sk0_0)
      | ~ big_f(sk0_2(X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f12,plain,
    ! [X,Y,Z] :
      ( ~ pd0_0(Z,Y,X)
      | ( big_f(X,Z)
        & ~ big_f(X,Y) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ~ pd0_0(X0,X1,X2)
      | ~ big_f(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f15,plain,
    ! [X0] :
      ( pd0_0(sk0_1(X0),X0,sk0_0)
      | ~ big_f(sk0_2(X0),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f11,f8]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ big_f(sk0_2(X0),X0)
      | ~ big_f(sk0_0,X0) ),
    inference(resolution,[status(thm)],[f15,f14]) ).

fof(f18,plain,
    ~ big_f(sk0_0,sk0_0),
    inference(resolution,[status(thm)],[f16,f8]) ).

fof(f19,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f18,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n028.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 10:41:47 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Drodi V3.5.1
% 0.09/0.30  % Refutation found
% 0.09/0.30  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.51  % Elapsed time: 0.009364 seconds
% 0.14/0.51  % CPU time: 0.008752 seconds
% 0.14/0.51  % Memory used: 473.961 KB
%------------------------------------------------------------------------------