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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 02:49:40 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.34s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   79 (  16 unt;  10 def)
%            Number of atoms       :  218 (  20 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  260 ( 121   ~; 129   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   15 (  13 usr;  11 prp; 0-4 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-2 aty)
%            Number of variables   :   61 (  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f459,negated_conjecture,
    hBOOL(hAPP(v_ba,v_s0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f460,negated_conjecture,
    c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f462,negated_conjecture,
    v_ba = v_b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f463,negated_conjecture,
    v_ca = v_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f464,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f465,negated_conjecture,
    ! [V_x] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_x),v_G))
      | c_Hoare__Mirabelle_Otriple__valid(v_na,V_x,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f466,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | hBOOL(hAPP(v_b,v_s2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f471,negated_conjecture,
    ! [V_Z] :
      ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
      | ~ hBOOL(hAPP(hAPP(v_P,V_Z),v_s1))
      | hBOOL(hAPP(hAPP(v_P,V_Z),v_s2))
      | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f472,negated_conjecture,
    ! [V_Z] :
      ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
      | ~ hBOOL(hAPP(hAPP(v_P,V_Z),v_s1))
      | ~ hBOOL(hAPP(v_b,v_s2))
      | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f473,negated_conjecture,
    ! [V_Za] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
      | ~ hBOOL(hAPP(hAPP(v_P,V_Za),v_s1))
      | hBOOL(hAPP(hAPP(v_P,V_Za),v_s2))
      | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f474,negated_conjecture,
    ! [V_Za] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
      | ~ hBOOL(hAPP(hAPP(v_P,V_Za),v_s1))
      | ~ hBOOL(hAPP(v_b,v_s2))
      | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f475,negated_conjecture,
    ! [V_Z,V_s_H,V_s,V_na] :
      ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_G))
      | ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s))
      | ~ hBOOL(hAPP(v_b,V_s))
      | ~ c_Natural_Oevaln(v_c,V_s,V_na,V_s_H)
      | hBOOL(hAPP(hAPP(v_P,V_Z),V_s_H)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f476,negated_conjecture,
    ! [V_Za,V_s_Ha,V_sa,V_na] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a)
      | ~ hBOOL(hAPP(hAPP(v_P,V_Za),V_sa))
      | ~ hBOOL(hAPP(v_b,V_sa))
      | ~ c_Natural_Oevaln(v_c,V_sa,V_na,V_s_Ha)
      | hBOOL(hAPP(hAPP(v_P,V_Za),V_s_Ha)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1207,plain,
    hBOOL(hAPP(v_ba,v_s0)),
    inference(cnf_transformation,[status(thm)],[f459]) ).

fof(f1208,plain,
    c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
    inference(cnf_transformation,[status(thm)],[f460]) ).

fof(f1210,plain,
    v_ba = v_b,
    inference(cnf_transformation,[status(thm)],[f462]) ).

fof(f1211,plain,
    v_ca = v_c,
    inference(cnf_transformation,[status(thm)],[f463]) ).

fof(f1212,plain,
    hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
    inference(cnf_transformation,[status(thm)],[f464]) ).

fof(f1213,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
      | c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a) ),
    inference(cnf_transformation,[status(thm)],[f465]) ).

fof(f1214,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | hBOOL(hAPP(v_b,v_s2)) ),
    inference(cnf_transformation,[status(thm)],[f466]) ).

fof(f1223,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | ! [V_Z] :
        ( ~ hBOOL(hAPP(hAPP(v_P,V_Z),v_s1))
        | hBOOL(hAPP(hAPP(v_P,V_Z),v_s2))
        | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ) ),
    inference(miniscoping,[status(thm)],[f471]) ).

fof(f1224,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(v_P,X0),v_s2))
      | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(cnf_transformation,[status(thm)],[f1223]) ).

fof(f1225,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | ! [V_Z] : ~ hBOOL(hAPP(hAPP(v_P,V_Z),v_s1))
    | ~ hBOOL(hAPP(v_b,v_s2))
    | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(miniscoping,[status(thm)],[f472]) ).

fof(f1226,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | ~ hBOOL(hAPP(v_b,v_s2))
      | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(cnf_transformation,[status(thm)],[f1225]) ).

fof(f1227,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | ! [V_Za] :
        ( ~ hBOOL(hAPP(hAPP(v_P,V_Za),v_s1))
        | hBOOL(hAPP(hAPP(v_P,V_Za),v_s2))
        | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ) ),
    inference(miniscoping,[status(thm)],[f473]) ).

fof(f1228,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(v_P,X0),v_s2))
      | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(cnf_transformation,[status(thm)],[f1227]) ).

fof(f1229,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | ! [V_Za] : ~ hBOOL(hAPP(hAPP(v_P,V_Za),v_s1))
    | ~ hBOOL(hAPP(v_b,v_s2))
    | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(miniscoping,[status(thm)],[f474]) ).

fof(f1230,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | ~ hBOOL(hAPP(v_b,v_s2))
      | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(cnf_transformation,[status(thm)],[f1229]) ).

fof(f1231,plain,
    ! [V_na] :
      ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(V_na)),v_G))
      | ! [V_Z,V_s] :
          ( ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s))
          | ~ hBOOL(hAPP(v_b,V_s))
          | ! [V_s_H] :
              ( ~ c_Natural_Oevaln(v_c,V_s,V_na,V_s_H)
              | hBOOL(hAPP(hAPP(v_P,V_Z),V_s_H)) ) ) ),
    inference(miniscoping,[status(thm)],[f475]) ).

fof(f1232,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X3)),v_G))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
      | ~ hBOOL(hAPP(v_b,X2))
      | ~ c_Natural_Oevaln(v_c,X2,X3,X1)
      | hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(cnf_transformation,[status(thm)],[f1231]) ).

fof(f1233,plain,
    ! [V_na] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(V_na,v_n(V_na),t_a)
      | ! [V_Za,V_sa] :
          ( ~ hBOOL(hAPP(hAPP(v_P,V_Za),V_sa))
          | ~ hBOOL(hAPP(v_b,V_sa))
          | ! [V_s_Ha] :
              ( ~ c_Natural_Oevaln(v_c,V_sa,V_na,V_s_Ha)
              | hBOOL(hAPP(hAPP(v_P,V_Za),V_s_Ha)) ) ) ),
    inference(miniscoping,[status(thm)],[f476]) ).

fof(f1234,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_n(X3),t_a)
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
      | ~ hBOOL(hAPP(v_b,X2))
      | ~ c_Natural_Oevaln(v_c,X2,X3,X1)
      | hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(cnf_transformation,[status(thm)],[f1233]) ).

fof(f1277,definition,
    ( sQ0_spl
  <=> hBOOL(hAPP(v_b,v_s2)) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f1280,definition,
    ( sQ1_spl
  <=> hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f1282,plain,
    ( sQ1_spl
    | ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
    inference(component_clause,[status(thm)],[f1280]) ).

fof(f1283,plain,
    ( ~ sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f1214,f1277,f1280]) ).

fof(f1306,definition,
    ( sQ8_spl
  <=> c_Com_Ocom_OWhile(v_ba,v_ca) = c_Com_Ocom_OWhile(v_b,v_c) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f1308,plain,
    ( sQ8_spl
    | c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(component_clause,[status(thm)],[f1306]) ).

fof(f1309,definition,
    ! [X0] :
      ( sQ9_spl
    <=> ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
        | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f1310,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
    inference(component_clause,[status(thm)],[f1309]) ).

fof(f1312,definition,
    ( sQ10_spl
  <=> hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f1313,plain,
    ( ~ sQ10_spl
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    inference(component_clause,[status(thm)],[f1312]) ).

fof(f1315,plain,
    ( sQ10_spl
    | sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f1224,f1306,f1309,f1312]) ).

fof(f1316,definition,
    ! [X0] :
      ( sQ11_spl
    <=> ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f1317,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
    inference(component_clause,[status(thm)],[f1316]) ).

fof(f1319,plain,
    ( sQ10_spl
    | sQ11_spl
    | ~ sQ0_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f1226,f1306,f1277,f1316,f1312]) ).

fof(f1320,definition,
    ( sQ12_spl
  <=> c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f1322,plain,
    ( sQ12_spl
    | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(component_clause,[status(thm)],[f1320]) ).

fof(f1323,plain,
    ( ~ sQ12_spl
    | sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f1228,f1306,f1309,f1320]) ).

fof(f1324,plain,
    ( ~ sQ12_spl
    | sQ11_spl
    | ~ sQ0_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f1230,f1306,f1277,f1316,f1320]) ).

fof(f1325,plain,
    hBOOL(hAPP(v_b,v_s0)),
    inference(forward_demodulation,[status(thm)],[f1210,f1207]) ).

fof(f1327,plain,
    c_Natural_Oevaln(v_c,v_s0,v_na,v_s1),
    inference(forward_demodulation,[status(thm)],[f1211,f1208]) ).

fof(f1330,plain,
    ( sQ8_spl
    | c_Com_Ocom_OWhile(v_b,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(forward_demodulation,[status(thm)],[f1210,f1308]) ).

fof(f1331,plain,
    ( sQ8_spl
    | c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c) ),
    inference(forward_demodulation,[status(thm)],[f1211,f1330]) ).

fof(f1332,plain,
    ( sQ8_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f1331]) ).

fof(f1333,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f1332]) ).

fof(f1344,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(X3),t_a)
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
      | ~ hBOOL(hAPP(v_b,X2))
      | ~ c_Natural_Oevaln(v_c,X2,X3,X1)
      | hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(resolution,[status(thm)],[f1232,f1213]) ).

fof(f1357,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ hBOOL(hAPP(hAPP(v_P,X3),X5))
      | ~ hBOOL(hAPP(v_b,X5))
      | ~ c_Natural_Oevaln(v_c,X5,v_na,X4)
      | hBOOL(hAPP(hAPP(v_P,X3),X4))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
      | ~ hBOOL(hAPP(v_b,X2))
      | ~ c_Natural_Oevaln(v_c,X2,v_na,X1)
      | hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(resolution,[status(thm)],[f1344,f1234]) ).

fof(f1358,definition,
    ! [X0,X1,X2] :
      ( sQ15_spl
    <=> ( ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
        | ~ hBOOL(hAPP(v_b,X2))
        | ~ c_Natural_Oevaln(v_c,X2,v_na,X1)
        | hBOOL(hAPP(hAPP(v_P,X0),X1)) ) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f1359,plain,
    ! [X0,X1,X2] :
      ( ~ sQ15_spl
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
      | ~ hBOOL(hAPP(v_b,X2))
      | ~ c_Natural_Oevaln(v_c,X2,v_na,X1)
      | hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(component_clause,[status(thm)],[f1358]) ).

fof(f1361,plain,
    sQ15_spl,
    inference(split_clause,[status(thm)],[f1357,f1358]) ).

fof(f1362,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ hBOOL(hAPP(v_b,v_s0))
      | ~ c_Natural_Oevaln(v_c,v_s0,v_na,X0)
      | hBOOL(hAPP(hAPP(v_P,v_xb),X0)) ),
    inference(resolution,[status(thm)],[f1359,f1212]) ).

fof(f1363,definition,
    ! [X0] :
      ( sQ16_spl
    <=> ( ~ c_Natural_Oevaln(v_c,v_s0,v_na,X0)
        | hBOOL(hAPP(hAPP(v_P,v_xb),X0)) ) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f1364,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | ~ c_Natural_Oevaln(v_c,v_s0,v_na,X0)
      | hBOOL(hAPP(hAPP(v_P,v_xb),X0)) ),
    inference(component_clause,[status(thm)],[f1363]) ).

fof(f1366,definition,
    ( sQ17_spl
  <=> hBOOL(hAPP(v_b,v_s0)) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f1368,plain,
    ( sQ17_spl
    | ~ hBOOL(hAPP(v_b,v_s0)) ),
    inference(component_clause,[status(thm)],[f1366]) ).

fof(f1369,plain,
    ( ~ sQ15_spl
    | ~ sQ17_spl
    | sQ16_spl ),
    inference(split_clause,[status(thm)],[f1362,f1363,f1366,f1358]) ).

fof(f1370,plain,
    ( ~ sQ16_spl
    | hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)) ),
    inference(resolution,[status(thm)],[f1364,f1327]) ).

fof(f1371,plain,
    ( ~ sQ16_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1370,f1317]) ).

fof(f1372,plain,
    ( ~ sQ16_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f1371]) ).

fof(f1373,plain,
    ( sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1368,f1325]) ).

fof(f1374,plain,
    sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f1373]) ).

fof(f1375,plain,
    ( ~ sQ10_spl
    | c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(resolution,[status(thm)],[f1313,f1213]) ).

fof(f1383,plain,
    ( ~ sQ10_spl
    | sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1375,f1322]) ).

fof(f1384,plain,
    ( ~ sQ10_spl
    | sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f1383]) ).

fof(f1390,plain,
    ( ~ sQ16_spl
    | ~ sQ9_spl
    | hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
    inference(resolution,[status(thm)],[f1310,f1370]) ).

fof(f1396,plain,
    ( ~ sQ16_spl
    | ~ sQ9_spl
    | sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1390,f1282]) ).

fof(f1397,plain,
    ( ~ sQ16_spl
    | ~ sQ9_spl
    | sQ1_spl ),
    inference(contradiction_clause,[status(thm)],[f1396]) ).

fof(f1398,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1283,f1315,f1319,f1323,f1324,f1333,f1361,f1369,f1372,f1374,f1384,f1397]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29  % Computer : n012.cluster.edu
% 0.03/0.29  % Model    : x86_64 x86_64
% 0.03/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29  % Memory   : 8046.5625MB
% 0.03/0.29  % OS       : Linux 6.8.0-71-generic
% 0.03/0.29  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Mon Sep 21 09:27:52 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.31  % Drodi V4.1.1
% 0.09/0.34  % Refutation found
% 0.09/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.35  % Elapsed time: 0.051292 seconds
% 0.09/0.35  % CPU time: 0.139516 seconds
% 0.09/0.35  % Total memory used: 122.107 MB
% 0.09/0.35  % Net memory used: 121.849 MB
%------------------------------------------------------------------------------