TSTP Solution File: SWW356+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW356+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 12:44:47 EDT 2023

% Result   : Theorem 153.18s 20.19s
% Output   : CNFRefutation 154.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  13 unt;   0 def)
%            Number of atoms       :   67 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   58 (  25   ~;  22   |;   5   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-6 aty)
%            Number of variables   :   69 (;  65   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [V_P_2,V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [V_ts_2,V_t_2,V_Ga_2,T_a] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2))
     => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
        & c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [V_Q_2,V_Q_H_2,V_ca_2,V_P_2,V_Ga_2,T_a] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
     => ( ! [B_Z,B_s] :
            ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
           => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
       => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5228,axiom,
    ! [V_y_2,V_x_2] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
      | V_x_2 = V_y_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5244,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),c_Natural_Oevalc(c_Com_Ocom_OSKIP))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5245,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),c_Natural_Oevalc(c_Com_Ocom_OSKIP))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(negated_conjecture,[status(cth)],[f5244]) ).

fof(f5250,plain,
    ! [X0,X1,X2] : c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),c_Com_Ocom_OSKIP),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f5265,plain,
    ! [V_ts_2,V_t_2,V_Ga_2,T_a] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2))
      | ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
        & c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f5266,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X2),X3))
      | c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)))) ),
    inference(cnf_transformation,[status(esa)],[f5265]) ).

fof(f5268,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X0),X0)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f5334,plain,
    ! [V_Q_2,V_Q_H_2,V_ca_2,V_P_2,V_Ga_2,T_a] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
      | ? [B_Z,B_s] :
          ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
          & ~ hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
      | c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ),
    inference(pre_NNF_transformation,[status(esa)],[f37]) ).

fof(f5335,plain,
    ! [V_Q_H_2,V_ca_2,V_P_2,V_Ga_2,T_a] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
      | ! [V_Q_2] :
          ( ? [B_Z,B_s] :
              ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
              & ~ hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
          | c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ),
    inference(miniscoping,[status(esa)],[f5334]) ).

fof(f5336,plain,
    ! [V_Q_H_2,V_ca_2,V_P_2,V_Ga_2,T_a] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
      | ! [V_Q_2] :
          ( ( hBOOL(hAPP(hAPP(V_Q_H_2,sk0_5(V_Q_2,T_a,V_Ga_2,V_P_2,V_ca_2,V_Q_H_2)),sk0_6(V_Q_2,T_a,V_Ga_2,V_P_2,V_ca_2,V_Q_H_2)))
            & ~ hBOOL(hAPP(hAPP(V_Q_2,sk0_5(V_Q_2,T_a,V_Ga_2,V_P_2,V_ca_2,V_Q_H_2)),sk0_6(V_Q_2,T_a,V_Ga_2,V_P_2,V_ca_2,V_Q_H_2))) )
          | c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ),
    inference(skolemization,[status(esa)],[f5335]) ).

fof(f5337,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))
      | hBOOL(hAPP(hAPP(X4,sk0_5(X5,X0,X1,X2,X3,X4)),sk0_6(X5,X0,X1,X2,X3,X4)))
      | c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),X3),X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)))) ),
    inference(cnf_transformation,[status(esa)],[f5336]) ).

fof(f5338,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(X5,sk0_5(X5,X0,X1,X2,X3,X4)),sk0_6(X5,X0,X1,X2,X3,X4)))
      | c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),X3),X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)))) ),
    inference(cnf_transformation,[status(esa)],[f5336]) ).

fof(f19934,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal,X0),X1))
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f5228]) ).

fof(f19959,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),c_Natural_Oevalc(c_Com_Ocom_OSKIP))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(cnf_transformation,[status(esa)],[f5245]) ).

fof(f20295,plain,
    ! [X0] : ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),c_Natural_Oevalc(c_Com_Ocom_OSKIP))),X0)),
    inference(resolution,[status(thm)],[f5266,f19959]) ).

fof(f23519,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
      | hBOOL(hAPP(hAPP(X0,sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,X0)),sk0_6(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,X0))) ),
    inference(resolution,[status(thm)],[f5337,f20295]) ).

fof(f23574,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,X0)),sk0_6(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,X0))) ),
    inference(resolution,[status(thm)],[f5338,f20295]) ).

fof(f24565,plain,
    hBOOL(hAPP(hAPP(c_fequal,sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal)),sk0_6(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal))),
    inference(resolution,[status(thm)],[f23519,f5250]) ).

fof(f30639,plain,
    sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal) = sk0_6(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal),
    inference(resolution,[status(thm)],[f24565,f19934]) ).

fof(f31921,plain,
    ( spl0_145
  <=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
    introduced(split_symbol_definition) ).

fof(f31923,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
    | spl0_145 ),
    inference(component_clause,[status(thm)],[f31921]) ).

fof(f31924,plain,
    ( spl0_146
  <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal)),sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal))) ),
    introduced(split_symbol_definition) ).

fof(f31926,plain,
    ( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal)),sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal)))
    | spl0_146 ),
    inference(component_clause,[status(thm)],[f31924]) ).

fof(f31927,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),c_Com_Ocom_OSKIP),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
    | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal)),sk0_5(c_Natural_Oevalc(c_Com_Ocom_OSKIP),tc_Com_Ostate,v_G,c_fequal,c_Com_Ocom_OSKIP,c_fequal))) ),
    inference(paramodulation,[status(thm)],[f30639,f23574]) ).

fof(f31928,plain,
    ( ~ spl0_145
    | ~ spl0_146 ),
    inference(split_clause,[status(thm)],[f31927,f31921,f31924]) ).

fof(f31929,plain,
    ( $false
    | spl0_145 ),
    inference(forward_subsumption_resolution,[status(thm)],[f31923,f5250]) ).

fof(f31930,plain,
    spl0_145,
    inference(contradiction_clause,[status(thm)],[f31929]) ).

fof(f31931,plain,
    ( $false
    | spl0_146 ),
    inference(forward_subsumption_resolution,[status(thm)],[f31926,f5268]) ).

fof(f31932,plain,
    spl0_146,
    inference(contradiction_clause,[status(thm)],[f31931]) ).

fof(f31933,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f31928,f31930,f31932]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : SWW356+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue May 30 10:50:52 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.68/0.88  % Drodi V3.5.1
% 153.18/20.19  % Refutation found
% 153.18/20.19  % SZS status Theorem for theBenchmark: Theorem is valid
% 153.18/20.19  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 155.36/20.42  % Elapsed time: 20.069820 seconds
% 155.36/20.42  % CPU time: 154.603969 seconds
% 155.36/20.42  % Memory used: 1.744 GB
%------------------------------------------------------------------------------