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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV955-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : 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 02:49:50 PM UTC 2026

% Result   : Unsatisfiable 0.15s 0.65s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  12 unt;   2 def)
%            Number of atoms       :   43 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  22   ~;  15   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-5 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-5 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f308,axiom,
    ! [V_P,V_h,V_E,V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622] :
      ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_Type_Oty_ONT)
      | ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622)
      | c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f325,axiom,
    v_T____ = c_Type_Oty_OVoid,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f351,axiom,
    ! [V_P,T_a,V_T] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f380,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f381,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f382,negated_conjecture,
    ! [V_x] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),V_x)
      | ~ 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_x),v_T____)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f761,plain,
    ! [V_P,V_h,V_E,V_e_092_060_094isub_0621] :
      ( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_Type_Oty_ONT)
      | ! [V_e_092_060_094isub_0622] :
          ( ! [V_T_092_060_094isub_0622] : ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0622,V_T_092_060_094isub_0622)
          | ! [V_F,V_D] : c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621,V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ) ),
    inference(miniscoping,[status(thm)],[f308]) ).

fof(f762,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
      | ~ c_WellTypeRT_OWTrt(X0,X1,X2,X6,X7)
      | c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(cnf_transformation,[status(thm)],[f761]) ).

fof(f787,plain,
    v_T____ = c_Type_Oty_OVoid,
    inference(cnf_transformation,[status(thm)],[f325]) ).

fof(f822,plain,
    ! [X0,X1,X2] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X2)),
    inference(cnf_transformation,[status(thm)],[f351]) ).

fof(f863,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,v_T_092_060_094isub_0622____),
    inference(cnf_transformation,[status(thm)],[f380]) ).

fof(f864,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    inference(cnf_transformation,[status(thm)],[f381]) ).

fof(f865,plain,
    ! [X0] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),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____)) ),
    inference(cnf_transformation,[status(thm)],[f382]) ).

fof(f874,plain,
    ! [X0] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),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),c_Type_Oty_OVoid)) ),
    inference(forward_demodulation,[status(thm)],[f787,f865]) ).

fof(f875,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
    inference(resolution,[status(thm)],[f822,f874]) ).

fof(f1024,plain,
    ! [X0] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT)
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,X0) ),
    inference(resolution,[status(thm)],[f762,f875]) ).

fof(f1026,definition,
    ! [X0] :
      ( sQ2_spl
    <=> ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,X0) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f1027,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622____,X0) ),
    inference(component_clause,[status(thm)],[f1026]) ).

fof(f1029,definition,
    ( sQ3_spl
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f1031,plain,
    ( sQ3_spl
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
    inference(component_clause,[status(thm)],[f1029]) ).

fof(f1032,plain,
    ( ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f1024,f1026,f1029]) ).

fof(f1044,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f863,f1027]) ).

fof(f1045,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f1044]) ).

fof(f1046,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1031,f864]) ).

fof(f1047,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f1046]) ).

fof(f1048,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1032,f1045,f1047]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV955-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.55  % Computer : n015.cluster.edu
% 0.11/0.55  % Model    : x86_64 x86_64
% 0.11/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55  % Memory   : 8046.5625MB
% 0.11/0.55  % OS       : Linux 6.8.0-71-generic
% 0.11/0.55  % CPULimit : 300
% 0.11/0.55  % WCLimit  : 300
% 0.11/0.55  % DateTime : Mon Sep 21 09:37:36 UTC 2026
% 0.11/0.55  % CPUTime  : 
% 0.15/0.59  % Drodi V4.1.1
% 0.15/0.65  % Refutation found
% 0.15/0.65  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.65  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.68  % Elapsed time: 0.116165 seconds
% 0.15/0.68  % CPU time: 0.478739 seconds
% 0.15/0.68  % Total memory used: 129.036 MB
% 0.15/0.68  % Net memory used: 128.723 MB
%------------------------------------------------------------------------------