%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 12:44:38 EDT 2023

% Result   : Theorem 0.71s 0.99s
% Output   : CNFRefutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   8   ~;   4   |;   2   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (;  14   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [V_t,V_n,T_a] :
      ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
     => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5224,hypothesis,
    ! [B_x] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
     => c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),B_x) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5225,conjecture,
    ! [B_x] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
     => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5226,negated_conjecture,
    ~ ! [B_x] :
        ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
       => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) ),
    inference(negated_conjecture,[status(cth)],[f5225]) ).

fof(f5230,plain,
    ! [V_t,V_n,T_a] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
      | c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

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

fof(f20179,plain,
    ! [B_x] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),B_x) ),
    inference(pre_NNF_transformation,[status(esa)],[f5224]) ).

fof(f20180,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X0) ),
    inference(cnf_transformation,[status(esa)],[f20179]) ).

fof(f20181,plain,
    ? [B_x] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
      & ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) ),
    inference(pre_NNF_transformation,[status(esa)],[f5226]) ).

fof(f20182,plain,
    ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sk0_557),v_ts))
    & ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sk0_557) ),
    inference(skolemization,[status(esa)],[f20181]) ).

fof(f20183,plain,
    hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sk0_557),v_ts)),
    inference(cnf_transformation,[status(esa)],[f20182]) ).

fof(f20184,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sk0_557),
    inference(cnf_transformation,[status(esa)],[f20182]) ).

fof(f20968,plain,
    c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),sk0_557),
    inference(resolution,[status(thm)],[f20180,f20183]) ).

fof(f20970,plain,
    c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sk0_557),
    inference(resolution,[status(thm)],[f20968,f5231]) ).

fof(f20971,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f20970,f20184]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue May 30 11:03:40 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.65/0.80  % Drodi V3.5.1
% 0.71/0.99  % Refutation found
% 0.71/0.99  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.71/0.99  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.71/0.99  % Elapsed time: 0.629865 seconds
% 0.71/0.99  % CPU time: 1.330302 seconds
% 0.71/0.99  % Memory used: 483.910 MB
%------------------------------------------------------------------------------