%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:45:52 EDT 2023

% Result   : Theorem 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  14 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   39 (  20   ~;  11   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   38 (;  33   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
    ? [Y] : big_f(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] :
    ? [Y] : big_g(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( ( big_f(X,Y)
        | big_g(X,Y) )
     => ! [Z] :
          ( ( big_f(Y,Z)
            | big_g(Y,Z) )
         => big_h(X,Z) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,conjecture,
    ! [X] :
    ? [Y] : big_h(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ ! [X] :
      ? [Y] : big_h(X,Y),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,plain,
    ! [X] : big_f(X,sk0_0(X)),
    inference(skolemization,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0] : big_f(X0,sk0_0(X0)),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f8,plain,
    ! [X] : big_g(X,sk0_1(X)),
    inference(skolemization,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0] : big_g(X0,sk0_1(X0)),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f10,plain,
    ! [X,Y] :
      ( ( ~ big_f(X,Y)
        & ~ big_g(X,Y) )
      | ! [Z] :
          ( ( ~ big_f(Y,Z)
            & ~ big_g(Y,Z) )
          | big_h(X,Z) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X,Y] :
      ( pd0_0(Y,X)
     => ( ~ big_f(X,Y)
        & ~ big_g(X,Y) ) ),
    introduced(predicate_definition,[f10]) ).

fof(f12,plain,
    ! [X,Y] :
      ( pd0_0(Y,X)
      | ! [Z] :
          ( ( ~ big_f(Y,Z)
            & ~ big_g(Y,Z) )
          | big_h(X,Z) ) ),
    inference(formula_renaming,[status(thm)],[f10,f11]) ).

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

fof(f15,plain,
    ? [X] :
    ! [Y] : ~ big_h(X,Y),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f16,plain,
    ! [Y] : ~ big_h(sk0_2,Y),
    inference(skolemization,[status(esa)],[f15]) ).

fof(f17,plain,
    ! [X0] : ~ big_h(sk0_2,X0),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f18,plain,
    ! [X,Y] :
      ( ~ pd0_0(Y,X)
      | ( ~ big_f(X,Y)
        & ~ big_g(X,Y) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ pd0_0(X0,X1)
      | ~ big_f(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f21,plain,
    ! [X0] : ~ pd0_0(sk0_0(X0),X0),
    inference(resolution,[status(thm)],[f19,f7]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ big_g(sk0_0(X0),X1)
      | big_h(X0,X1) ),
    inference(resolution,[status(thm)],[f21,f14]) ).

fof(f24,plain,
    ! [X0] : big_h(X0,sk0_1(sk0_0(X0))),
    inference(resolution,[status(thm)],[f22,f9]) ).

fof(f25,plain,
    $false,
    inference(resolution,[status(thm)],[f24,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n001.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 11:01:00 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28  % Elapsed time: 0.012306 seconds
% 0.07/0.28  % CPU time: 0.017811 seconds
% 0.07/0.28  % Memory used: 1.826 MB
%------------------------------------------------------------------------------