%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW345+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:44:45 EDT 2023

% Result   : Theorem 38.84s 5.67s
% Output   : CNFRefutation 38.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  19   ~;  14   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   25 (;  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5206,hypothesis,
    ! [B_Z,B_s] :
      ( v_P(B_Z,B_s)
     => ! [B_s_H] :
          ( c_Natural_Oevaln(v_c,B_s,v_n,B_s_H)
         => v_Q(B_Z,B_s_H) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5207,hypothesis,
    ! [B_Z,B_s] :
      ( v_Q(B_Z,B_s)
     => ! [B_s_H] :
          ( c_Natural_Oevaln(v_d,B_s,v_n,B_s_H)
         => v_R(B_Z,B_s_H) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5208,hypothesis,
    v_P(v_Z,v_s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5209,hypothesis,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5210,hypothesis,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5211,conjecture,
    v_R(v_Z,v_s_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5212,negated_conjecture,
    ~ v_R(v_Z,v_s_H),
    inference(negated_conjecture,[status(cth)],[f5211]) ).

fof(f19795,plain,
    ! [B_Z,B_s] :
      ( ~ v_P(B_Z,B_s)
      | ! [B_s_H] :
          ( ~ c_Natural_Oevaln(v_c,B_s,v_n,B_s_H)
          | v_Q(B_Z,B_s_H) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f5206]) ).

fof(f19796,plain,
    ! [X0,X1,X2] :
      ( ~ v_P(X0,X1)
      | ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
      | v_Q(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f19795]) ).

fof(f19797,plain,
    ! [B_Z,B_s] :
      ( ~ v_Q(B_Z,B_s)
      | ! [B_s_H] :
          ( ~ c_Natural_Oevaln(v_d,B_s,v_n,B_s_H)
          | v_R(B_Z,B_s_H) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f5207]) ).

fof(f19798,plain,
    ! [X0,X1,X2] :
      ( ~ v_Q(X0,X1)
      | ~ c_Natural_Oevaln(v_d,X1,v_n,X2)
      | v_R(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f19797]) ).

fof(f19799,plain,
    v_P(v_Z,v_s),
    inference(cnf_transformation,[status(esa)],[f5208]) ).

fof(f19800,plain,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    inference(cnf_transformation,[status(esa)],[f5209]) ).

fof(f19801,plain,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    inference(cnf_transformation,[status(esa)],[f5210]) ).

fof(f19802,plain,
    ~ v_R(v_Z,v_s_H),
    inference(cnf_transformation,[status(esa)],[f5212]) ).

fof(f37128,plain,
    ! [X0,X1,X2,X3] :
      ( ~ v_P(X0,X1)
      | ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
      | ~ c_Natural_Oevaln(v_d,X2,v_n,X3)
      | v_R(X0,X3) ),
    inference(resolution,[status(thm)],[f19796,f19798]) ).

fof(f37129,plain,
    ! [X0,X1] :
      ( ~ v_P(v_Z,X0)
      | ~ c_Natural_Oevaln(v_c,X0,v_n,X1)
      | ~ c_Natural_Oevaln(v_d,X1,v_n,v_s_H) ),
    inference(resolution,[status(thm)],[f37128,f19802]) ).

fof(f37130,plain,
    ! [X0] :
      ( ~ c_Natural_Oevaln(v_c,v_s,v_n,X0)
      | ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H) ),
    inference(resolution,[status(thm)],[f37129,f19799]) ).

fof(f37131,plain,
    ~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    inference(resolution,[status(thm)],[f37130,f19801]) ).

fof(f37132,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f37131,f19800]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW345+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:55:51 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.55/0.77  % Drodi V3.5.1
% 38.84/5.67  % Refutation found
% 38.84/5.67  % SZS status Theorem for theBenchmark: Theorem is valid
% 38.84/5.67  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 39.45/5.74  % Elapsed time: 5.376541 seconds
% 39.45/5.74  % CPU time: 39.005033 seconds
% 39.45/5.74  % Memory used: 935.148 MB
%------------------------------------------------------------------------------