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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV829-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:49:38 PM UTC 2026

% Result   : Unsatisfiable 209.41s 27.22s
% Output   : CNFRefutation 209.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   35 (  24 unt;   0 def)
%            Number of atoms       :   53 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  27   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  10 con; 0-5 aty)
%            Number of variables   :   89 (  89   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f684,axiom,
    ! [V_A,V_C,T_a,V_B] :
      ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
      | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
      | c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f688,axiom,
    ! [V_x,T_a] : c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f694,axiom,
    ! [V_x,V_A,T_a,V_B] :
      ( ~ hBOOL(c_in(V_x,V_B,T_a))
      | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
      | c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f696,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] : c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f723,axiom,
    ! [T_a,V_A] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f730,axiom,
    ! [V_a,V_B,T_a] : hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f751,axiom,
    ! [V_a,V_A,T_a] :
      ( ~ hBOOL(c_in(V_a,V_A,T_a))
      | c_Set_Oinsert(V_a,V_A,T_a) = V_A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f758,negated_conjecture,
    hBOOL(c_in(v_pn,v_Procs,tc_Com_Opname)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f759,negated_conjecture,
    ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f813,axiom,
    ! [V_P,V_Q,T_b,T_c,T_a,V_R] : hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f815,axiom,
    ! [V_P,V_Q,T_b,T_a,T_c,V_R] : hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1923,plain,
    ! [V_A,T_a,V_B] :
      ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
      | ! [V_C] :
          ( ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
          | c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ),
    inference(miniscoping,[status(thm)],[f684]) ).

fof(f1924,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(X3,X0,tc_fun(X2,tc_bool))
      | c_lessequals(X3,X1,tc_fun(X2,tc_bool))
      | ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
    inference(cnf_transformation,[status(thm)],[f1923]) ).

fof(f1930,plain,
    ! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
    inference(cnf_transformation,[status(thm)],[f688]) ).

fof(f1940,plain,
    ! [V_x,T_a,V_B] :
      ( ~ hBOOL(c_in(V_x,V_B,T_a))
      | ! [V_A] :
          ( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
          | c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ),
    inference(miniscoping,[status(thm)],[f694]) ).

fof(f1941,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
      | ~ hBOOL(c_in(X0,X3,X2))
      | c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
    inference(cnf_transformation,[status(thm)],[f1940]) ).

fof(f1943,plain,
    ! [X0,X1,X2,X3,X4] : c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) = c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4),
    inference(cnf_transformation,[status(thm)],[f696]) ).

fof(f1980,plain,
    ! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
    inference(cnf_transformation,[status(thm)],[f723]) ).

fof(f1992,plain,
    ! [X0,X1,X2] : hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X2)),
    inference(cnf_transformation,[status(thm)],[f730]) ).

fof(f2024,plain,
    ! [X0,X1,X2] :
      ( X1 = c_Set_Oinsert(X0,X1,X2)
      | ~ hBOOL(c_in(X0,X1,X2)) ),
    inference(cnf_transformation,[status(thm)],[f751]) ).

fof(f2036,plain,
    hBOOL(c_in(v_pn,v_Procs,tc_Com_Opname)),
    inference(cnf_transformation,[status(thm)],[f758]) ).

fof(f2037,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    inference(cnf_transformation,[status(thm)],[f759]) ).

fof(f2106,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(X0,X1),hAPP(X2,X1)) = hAPP(c_COMBS(X0,X2,X3,X4,X5),X1),
    inference(cnf_transformation,[status(thm)],[f813]) ).

fof(f2108,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBB(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
    inference(cnf_transformation,[status(thm)],[f815]) ).

fof(f2148,plain,
    c_Set_Oinsert(v_pn,v_Procs,tc_Com_Opname) = v_Procs,
    inference(resolution,[status(thm)],[f2024,f2036]) ).

fof(f2349,plain,
    ! [X0,X1,X2,X3,X4] : hBOOL(c_in(hAPP(X0,X1),c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4),X4)),
    inference(paramodulation,[status(thm)],[f1943,f1992]) ).

fof(f2353,plain,
    ! [X0] :
      ( ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),X0,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
      | ~ c_lessequals(X0,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
    inference(resolution,[status(thm)],[f1924,f2037]) ).

fof(f2696,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(X0,X1,tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
      | ~ c_lessequals(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
      | ~ hBOOL(c_in(X0,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a))) ),
    inference(resolution,[status(thm)],[f1941,f2353]) ).

fof(f2850,plain,
    ! [X0] :
      ( ~ hBOOL(c_in(X0,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a)))
      | ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
    inference(resolution,[status(thm)],[f2696,f1980]) ).

fof(f3662,plain,
    ! [X0,X1] : hBOOL(c_in(hAPP(X0,v_pn),c_Set_Oimage(X0,v_Procs,tc_Com_Opname,X1),X1)),
    inference(paramodulation,[status(thm)],[f2148,f2349]) ).

fof(f4345,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    inference(resolution,[status(thm)],[f2850,f3662]) ).

fof(f4348,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_pn),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    inference(forward_demodulation,[status(thm)],[f2106,f4345]) ).

fof(f4349,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),v_pn),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    inference(forward_demodulation,[status(thm)],[f2106,f4348]) ).

fof(f4350,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_pn)),hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(v_Q,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    inference(forward_demodulation,[status(thm)],[f2108,f4349]) ).

fof(f4351,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f4350,f1930]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV829-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44  % Computer : n007.cluster.edu
% 0.19/0.44  % Model    : x86_64 x86_64
% 0.19/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44  % Memory   : 8046.5625MB
% 0.19/0.44  % OS       : Linux 6.8.0-71-generic
% 0.19/0.44  % CPULimit : 300
% 0.19/0.44  % WCLimit  : 300
% 0.19/0.44  % DateTime : Mon Sep 21 09:25:05 UTC 2026
% 0.19/0.44  % CPUTime  : 
% 0.26/0.54  % Drodi V4.1.1
% 209.41/27.22  % Refutation found
% 209.41/27.22  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 209.41/27.22  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.15/27.44  % Elapsed time: 26.972659 seconds
% 13.15/27.44  % CPU time: 211.857636 seconds
% 13.15/27.44  % Total memory used: 946.725 MB
% 13.15/27.44  % Net memory used: 892.401 MB
%------------------------------------------------------------------------------