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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV961-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 02:49:51 PM UTC 2026

% Result   : Unsatisfiable 2.36s 1.03s
% Output   : CNFRefutation 2.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   9 unt;   2 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  18   ~;  12   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-5 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-5 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f538,axiom,
    ! [V_T_092_060_094isub_0622_H] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,V_T_092_060_094isub_0622_H)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_T_092_060_094isub_0622_H),v_T_092_060_094isub_0622____))
      | v_thesis____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f542,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f543,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f544,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1331,plain,
    ! [X0] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____))
      | v_thesis____ ),
    inference(cnf_transformation,[status(thm)],[f538]) ).

fof(f1336,plain,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    inference(cnf_transformation,[status(thm)],[f542]) ).

fof(f1337,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    inference(cnf_transformation,[status(thm)],[f543]) ).

fof(f1338,plain,
    ~ v_thesis____,
    inference(cnf_transformation,[status(thm)],[f544]) ).

fof(f1342,definition,
    ( sQ0_spl
  <=> v_thesis____ ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f1343,plain,
    ( ~ sQ0_spl
    | v_thesis____ ),
    inference(component_clause,[status(thm)],[f1342]) ).

fof(f1345,definition,
    ! [X0] :
      ( sQ1_spl
    <=> ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
        | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____)) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f1346,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X0)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_092_060_094isub_0622____)) ),
    inference(component_clause,[status(thm)],[f1345]) ).

fof(f1348,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f1331,f1342,f1345]) ).

fof(f1350,plain,
    ( ~ sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1343,f1338]) ).

fof(f1351,plain,
    ~ sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f1350]) ).

fof(f1943,plain,
    ( ~ sQ1_spl
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)) ),
    inference(resolution,[status(thm)],[f1336,f1346]) ).

fof(f1988,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1337,f1943]) ).

fof(f1989,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f1988]) ).

fof(f1990,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1348,f1351,f1989]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV961-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n015.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 09:37:51 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.29/0.52  % Drodi V4.1.1
% 2.36/1.03  % Refutation found
% 2.36/1.03  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.36/1.03  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.36/1.08  % Elapsed time: 0.718384 seconds
% 2.36/1.08  % CPU time: 4.303563 seconds
% 2.36/1.08  % Total memory used: 257.260 MB
% 2.36/1.08  % Net memory used: 254.551 MB
%------------------------------------------------------------------------------