%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW297+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : Tue Apr 30 20:49:59 EDT 2024

% Result   : Theorem 0.65s 1.03s
% Output   : CNFRefutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   43 (  15   ~;  11   |;   6   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   40 (  37   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [V_s_H,V_n,V_s,V_c] :
      ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
     => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5225,conjecture,
    ( ! [B_Z,B_s] :
        ( v_fun1(B_Z,B_s)
       => ! [B_s_H] :
            ( c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)
           => v_fun2(B_Z,B_s_H) ) )
   => ! [B_Z,B_s] :
        ( v_fun1(B_Z,B_s)
       => ! [B_s_H] :
            ( c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)
           => v_fun2(B_Z,B_s_H) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5226,negated_conjecture,
    ~ ( ! [B_Z,B_s] :
          ( v_fun1(B_Z,B_s)
         => ! [B_s_H] :
              ( c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)
             => v_fun2(B_Z,B_s_H) ) )
     => ! [B_Z,B_s] :
          ( v_fun1(B_Z,B_s)
         => ! [B_s_H] :
              ( c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)
             => v_fun2(B_Z,B_s_H) ) ) ),
    inference(negated_conjecture,[status(cth)],[f5225]) ).

fof(f5230,plain,
    ! [V_s_H,V_n,V_s,V_c] :
      ( ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
      | c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f5231,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_Natural_Oevaln(X0,X1,X2,X3)
      | c_Natural_Oevaln(X0,X1,hAPP(c_Nat_OSuc,X2),X3) ),
    inference(cnf_transformation,[status(esa)],[f5230]) ).

fof(f20138,plain,
    ( ! [B_Z,B_s] :
        ( ~ v_fun1(B_Z,B_s)
        | ! [B_s_H] :
            ( ~ c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)
            | v_fun2(B_Z,B_s_H) ) )
    & ? [B_Z,B_s] :
        ( v_fun1(B_Z,B_s)
        & ? [B_s_H] :
            ( c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)
            & ~ v_fun2(B_Z,B_s_H) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f5226]) ).

fof(f20139,plain,
    ( ! [B_Z,B_s] :
        ( ~ v_fun1(B_Z,B_s)
        | ! [B_s_H] :
            ( ~ c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)
            | v_fun2(B_Z,B_s_H) ) )
    & v_fun1(sk0_554,sk0_555)
    & c_Natural_Oevaln(v_com,sk0_555,v_n,sk0_556)
    & ~ v_fun2(sk0_554,sk0_556) ),
    inference(skolemization,[status(esa)],[f20138]) ).

fof(f20140,plain,
    ! [X0,X1,X2] :
      ( ~ v_fun1(X0,X1)
      | ~ c_Natural_Oevaln(v_com,X1,hAPP(c_Nat_OSuc,v_n),X2)
      | v_fun2(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f20139]) ).

fof(f20141,plain,
    v_fun1(sk0_554,sk0_555),
    inference(cnf_transformation,[status(esa)],[f20139]) ).

fof(f20142,plain,
    c_Natural_Oevaln(v_com,sk0_555,v_n,sk0_556),
    inference(cnf_transformation,[status(esa)],[f20139]) ).

fof(f20143,plain,
    ~ v_fun2(sk0_554,sk0_556),
    inference(cnf_transformation,[status(esa)],[f20139]) ).

fof(f20923,plain,
    ! [X0,X1,X2] :
      ( ~ c_Natural_Oevaln(v_com,X0,v_n,X1)
      | ~ v_fun1(X2,X0)
      | v_fun2(X2,X1) ),
    inference(resolution,[status(thm)],[f5231,f20140]) ).

fof(f20936,plain,
    ! [X0] :
      ( ~ c_Natural_Oevaln(v_com,sk0_555,v_n,X0)
      | v_fun2(sk0_554,X0) ),
    inference(resolution,[status(thm)],[f20923,f20141]) ).

fof(f20938,plain,
    v_fun2(sk0_554,sk0_556),
    inference(resolution,[status(thm)],[f20936,f20142]) ).

fof(f20939,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f20938,f20143]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SWW297+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Mon Apr 29 23:12:35 EDT 2024
% 0.08/0.27  % CPUTime  : 
% 0.54/0.74  % Drodi V3.6.0
% 0.65/1.03  % Refutation found
% 0.65/1.03  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.65/1.03  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.65/1.05  % Elapsed time: 0.768610 seconds
% 0.65/1.05  % CPU time: 2.296728 seconds
% 0.65/1.05  % Total memory used: 628.101 MB
% 0.65/1.05  % Net memory used: 624.877 MB
%------------------------------------------------------------------------------