%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW294+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 12:44:37 EDT 2023

% Result   : Theorem 74.55s 10.47s
% Output   : CNFRefutation 74.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   28 (   7 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   25 (  10   ~;   3   |;   6   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-4 aty)
%            Number of variables   :   29 (;  25   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f192,axiom,
    ! [V_s1,V_n,V_s,V_P] :
      ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)
     => ~ ! [B_n] :
            ( V_n = hAPP(c_Nat_OSuc,B_n)
           => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f203,axiom,
    ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5207,conjecture,
    ! [B_Z,B_s] :
      ( v_P(B_Z,B_s)
     => ! [B_s_H] :
          ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B_s_H)
         => v_Q(B_Z,B_s_H) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5208,negated_conjecture,
    ~ ! [B_Z,B_s] :
        ( v_P(B_Z,B_s)
       => ! [B_s_H] :
            ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B_s_H)
           => v_Q(B_Z,B_s_H) ) ),
    inference(negated_conjecture,[status(cth)],[f5207]) ).

fof(f5662,plain,
    ! [V_s1,V_n,V_s,V_P] :
      ( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)
      | ? [B_n] :
          ( V_n = hAPP(c_Nat_OSuc,B_n)
          & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f192]) ).

fof(f5663,plain,
    ! [V_s1,V_n,V_s,V_P] :
      ( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)
      | ( V_n = hAPP(c_Nat_OSuc,sk0_20(V_P,V_s,V_n,V_s1))
        & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,sk0_20(V_P,V_s,V_n,V_s1),V_s1) ) ),
    inference(skolemization,[status(esa)],[f5662]) ).

fof(f5664,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X0),X1,X2,X3)
      | X2 = hAPP(c_Nat_OSuc,sk0_20(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[status(esa)],[f5663]) ).

fof(f5689,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(cnf_transformation,[status(esa)],[f203]) ).

fof(f19786,plain,
    ? [B_Z,B_s] :
      ( v_P(B_Z,B_s)
      & ? [B_s_H] :
          ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B_s_H)
          & ~ v_Q(B_Z,B_s_H) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f5208]) ).

fof(f19787,plain,
    ( v_P(sk0_494,sk0_495)
    & c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sk0_495,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sk0_496)
    & ~ v_Q(sk0_494,sk0_496) ),
    inference(skolemization,[status(esa)],[f19786]) ).

fof(f19789,plain,
    c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sk0_495,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sk0_496),
    inference(cnf_transformation,[status(esa)],[f19787]) ).

fof(f51905,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,sk0_20(v_pn,sk0_495,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sk0_496)),
    inference(resolution,[status(thm)],[f5664,f19789]) ).

fof(f51906,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f51905,f5689]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SWW294+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.34  % Computer : n016.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8042.1875MB
% 0.09/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Tue May 30 11:24:59 EDT 2023
% 0.09/0.34  % CPUTime  : 
% 0.64/0.93  % Drodi V3.5.1
% 74.55/10.47  % Refutation found
% 74.55/10.47  % SZS status Theorem for theBenchmark: Theorem is valid
% 74.55/10.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 76.56/11.60  % Elapsed time: 11.032321 seconds
% 76.56/11.60  % CPU time: 72.128513 seconds
% 76.56/11.60  % Memory used: 1.037 GB
%------------------------------------------------------------------------------