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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+33 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 12:13:58 PM UTC 2026

% Result   : Theorem 205.23s 26.59s
% Output   : CNFRefutation 206.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  117 (  40 unt;  18 def)
%            Number of atoms       :  457 (   0 equ)
%            Maximal formula atoms :  199 (   3 avg)
%            Number of connectives :  474 ( 134   ~;  96   |; 224   &)
%                                         (  18 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  199 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   39 (  38 usr;  19 prp; 0-6 aty)
%            Number of functors    :   72 (  72 usr;  70 con; 0-2 aty)
%            Number of variables   :  112 (  95   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f160,axiom,
    ! [X0,X1,X2] :
      ( ( sub(X0,X1)
        & member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & attr(X2,X0) )
     => ? [X3] :
          ( subs(X3,stehen_1_b)
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9227,axiom,
    sub(anf__374hrerin_1_1,an_f__374hrer_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9231,axiom,
    sub(angreiferin_1_1,aggressor_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9312,axiom,
    sub(begr__374nderin_1_1,be_gr__374nder_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9435,axiom,
    sub(erfinderin_1_1,erfinder_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9586,axiom,
    sub(herrscher__1_1,an_f__374hrer_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9658,axiom,
    sub(killerin_1_1,killer_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9741,axiom,
    sub(l__374gnerin_1_1,l__374gner_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10000,axiom,
    sub(spielleiterin_1_1,regisseur_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( sub(X2,name_1_1)
      & sub(X1,name_1_1)
      & prop(X0,britisch__1_1)
      & obj(X4,X0)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( sub(X2,name_1_1)
        & sub(X1,name_1_1)
        & prop(X0,britisch__1_1)
        & obj(X4,X0)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(ordnung_1_1,varia_c)
    & refer(ordnung_1_1,refer_c)
    & quant(ordnung_1_1,one)
    & gener(ordnung_1_1,ge)
    & fact(ordnung_1_1,real)
    & etype(ordnung_1_1,int0)
    & card(ordnung_1_1,int1)
    & sort(ordnung_1_1,io)
    & sort(ordnung_1_1,as)
    & varia(gr__366__337e_1_1,varia_c)
    & refer(gr__366__337e_1_1,refer_c)
    & quant(gr__366__337e_1_1,one)
    & gener(gr__366__337e_1_1,ge)
    & fact(gr__366__337e_1_1,real)
    & etype(gr__366__337e_1_1,int0)
    & card(gr__366__337e_1_1,int1)
    & sort(gr__366__337e_1_1,oa)
    & varia(c8677,varia_c)
    & refer(c8677,refer_c)
    & quant(c8677,quant_c)
    & gener(c8677,gener_c)
    & fact(c8677,real)
    & etype(c8677,etype_c)
    & card(c8677,card_c)
    & sort(c8677,ent)
    & varia(gr__366ssenordnung_1_1,varia_c)
    & refer(gr__366ssenordnung_1_1,refer_c)
    & quant(gr__366ssenordnung_1_1,one)
    & gener(gr__366ssenordnung_1_1,ge)
    & fact(gr__366ssenordnung_1_1,real)
    & etype(gr__366ssenordnung_1_1,int0)
    & card(gr__366ssenordnung_1_1,int1)
    & sort(gr__366ssenordnung_1_1,oa)
    & sort(gr__366ssenordnung_1_1,io)
    & sort(neo_1_1,nq)
    & varia(c7518,varia_c)
    & refer(c7518,indet)
    & quant(c7518,one)
    & gener(c7518,sp)
    & fact(c7518,real)
    & etype(c7518,int0)
    & card(c7518,int1)
    & sort(c7518,oa)
    & sort(c7518,io)
    & sort(rover_0,fe)
    & sort(britisch__1_1,nq)
    & varia(c7514,varia_c)
    & refer(c7514,indet)
    & quant(c7514,one)
    & gener(c7514,sp)
    & fact(c7514,real)
    & etype(c7514,int0)
    & card(c7514,int1)
    & sort(c7514,na)
    & varia(c7513,con)
    & refer(c7513,det)
    & quant(c7513,one)
    & gener(c7513,sp)
    & fact(c7513,real)
    & etype(c7513,int0)
    & card(c7513,int1)
    & sort(c7513,io)
    & sort(c7513,d)
    & varia(ankauf__1_1,varia_c)
    & refer(ankauf__1_1,refer_c)
    & quant(ankauf__1_1,one)
    & gener(ankauf__1_1,ge)
    & fact(ankauf__1_1,real)
    & etype(ankauf__1_1,int0)
    & card(ankauf__1_1,int1)
    & sort(ankauf__1_1,ad)
    & varia(c7474,con)
    & refer(c7474,det)
    & quant(c7474,one)
    & gener(c7474,sp)
    & fact(c7474,real)
    & etype(c7474,int0)
    & card(c7474,int1)
    & sort(c7474,ad)
    & varia(bmw_1_1,varia_c)
    & refer(bmw_1_1,refer_c)
    & quant(bmw_1_1,one)
    & gener(bmw_1_1,ge)
    & fact(bmw_1_1,real)
    & etype(bmw_1_1,int0)
    & card(bmw_1_1,int1)
    & sort(bmw_1_1,d)
    & varia(c7464,varia_c)
    & refer(c7464,refer_c)
    & quant(c7464,one)
    & gener(c7464,gener_c)
    & fact(c7464,real)
    & etype(c7464,int0)
    & card(c7464,int1)
    & sort(c7464,d)
    & sort(dpa_0,fe)
    & varia(einrichtung_1_2,varia_c)
    & refer(einrichtung_1_2,refer_c)
    & quant(einrichtung_1_2,quant_c)
    & gener(einrichtung_1_2,ge)
    & fact(einrichtung_1_2,real)
    & etype(einrichtung_1_2,int1)
    & card(einrichtung_1_2,card_c)
    & sort(einrichtung_1_2,io)
    & sort(einrichtung_1_2,d)
    & varia(c7462,varia_c)
    & refer(c7462,indet)
    & quant(c7462,one)
    & gener(c7462,sp)
    & fact(c7462,real)
    & etype(c7462,int0)
    & card(c7462,int1)
    & sort(c7462,na)
    & varia(c7461,con)
    & refer(c7461,det)
    & quant(c7461,one)
    & gener(c7461,sp)
    & fact(c7461,real)
    & etype(c7461,int1)
    & card(c7461,int1)
    & sort(c7461,io)
    & sort(c7461,d)
    & sort(m__374nchen_0,fe)
    & varia(name_1_1,varia_c)
    & refer(name_1_1,refer_c)
    & quant(name_1_1,one)
    & gener(name_1_1,ge)
    & fact(name_1_1,real)
    & etype(name_1_1,int0)
    & card(name_1_1,int1)
    & sort(name_1_1,na)
    & varia(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & quant(stadt__1_1,one)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & etype(stadt__1_1,int0)
    & card(stadt__1_1,int1)
    & sort(stadt__1_1,io)
    & sort(stadt__1_1,d)
    & varia(c7457,varia_c)
    & refer(c7457,indet)
    & quant(c7457,one)
    & gener(c7457,sp)
    & fact(c7457,real)
    & etype(c7457,int0)
    & card(c7457,int1)
    & sort(c7457,na)
    & varia(c7456,con)
    & refer(c7456,det)
    & quant(c7456,one)
    & gener(c7456,sp)
    & fact(c7456,real)
    & etype(c7456,int0)
    & card(c7456,int1)
    & sort(c7456,io)
    & sort(c7456,d)
    & varia(fabrikant_1_1,varia_c)
    & refer(fabrikant_1_1,refer_c)
    & quant(fabrikant_1_1,one)
    & gener(fabrikant_1_1,ge)
    & fact(fabrikant_1_1,real)
    & etype(fabrikant_1_1,int0)
    & card(fabrikant_1_1,int1)
    & sort(fabrikant_1_1,io)
    & sort(fabrikant_1_1,d)
    & sort(automobil_1_1,tq)
    & varia(autobauer_1_1,varia_c)
    & refer(autobauer_1_1,refer_c)
    & quant(autobauer_1_1,one)
    & gener(autobauer_1_1,ge)
    & fact(autobauer_1_1,real)
    & etype(autobauer_1_1,int0)
    & card(autobauer_1_1,int1)
    & sort(autobauer_1_1,io)
    & sort(autobauer_1_1,d)
    & sub(gr__366ssenordnung_1_1,ordnung_1_1)
    & assoc(gr__366ssenordnung_1_1,gr__366__337e_1_1)
    & tupl_p6(c8677,c7456,c7461,c7464,c7474,c7518)
    & sub(c7518,gr__366ssenordnung_1_1)
    & prop(c7518,neo_1_1)
    & val(c7514,rover_0)
    & sub(c7514,name_1_1)
    & sub(c7513,autobauer_1_1)
    & prop(c7513,britisch__1_1)
    & attr(c7513,c7514)
    & attch(c7513,c7474)
    & subs(c7474,ankauf__1_1)
    & sub(c7464,bmw_1_1)
    & val(c7462,dpa_0)
    & sub(c7462,name_1_1)
    & sub(c7461,einrichtung_1_2)
    & attr(c7461,c7462)
    & val(c7457,m__374nchen_0)
    & sub(c7457,name_1_1)
    & sub(c7456,stadt__1_1)
    & attr(c7456,c7457)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,automobil_1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10191,plain,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f10192,plain,
    ! [X0,X1,X2] :
      ( member(X0,cons(X1,X2))
      | ~ member(X0,X2) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f10193,plain,
    ! [X0,X2] :
      ( ! [X1] : member(X0,cons(X1,X2))
      | ~ member(X0,X2) ),
    inference(miniscoping,[status(thm)],[f10192]) ).

fof(f10194,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,X2)
      | member(X0,cons(X1,X2)) ),
    inference(cnf_transformation,[status(thm)],[f10193]) ).

fof(f10698,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,stehen_1_b)
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) )
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X2,X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f160]) ).

fof(f10699,plain,
    ! [X2] :
      ( ? [X3] :
          ( subs(X3,stehen_1_b)
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) )
      | ! [X0,X1] :
          ( ~ sub(X0,X1)
          | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
          | ~ attr(X2,X0) ) ),
    inference(miniscoping,[status(thm)],[f10698]) ).

fof(f10700,plain,
    ! [X2] :
      ( ( subs(sK51_skl(X2),stehen_1_b)
        & scar(sK51_skl(X2),X2)
        & obj(sK51_skl(X2),X2)
        & mcont(sK51_skl(X2),X2) )
      | ! [X0,X1] :
          ( ~ sub(X0,X1)
          | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
          | ~ attr(X2,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl]),skolemize(X3,sK51_skl(X2))],[f10699]) ).

fof(f10702,plain,
    ! [X0,X1,X2] :
      ( ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X1,X2)
      | obj(sK51_skl(X0),X0)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10700]) ).

fof(f19854,plain,
    sub(anf__374hrerin_1_1,an_f__374hrer_1_1),
    inference(cnf_transformation,[status(thm)],[f9227]) ).

fof(f19858,plain,
    sub(angreiferin_1_1,aggressor_1_1),
    inference(cnf_transformation,[status(thm)],[f9231]) ).

fof(f19939,plain,
    sub(begr__374nderin_1_1,be_gr__374nder_1_1),
    inference(cnf_transformation,[status(thm)],[f9312]) ).

fof(f20062,plain,
    sub(erfinderin_1_1,erfinder_1_1),
    inference(cnf_transformation,[status(thm)],[f9435]) ).

fof(f20213,plain,
    sub(herrscher__1_1,an_f__374hrer_1_1),
    inference(cnf_transformation,[status(thm)],[f9586]) ).

fof(f20285,plain,
    sub(killerin_1_1,killer_1_1),
    inference(cnf_transformation,[status(thm)],[f9658]) ).

fof(f20368,plain,
    sub(l__374gnerin_1_1,l__374gner_1_1),
    inference(cnf_transformation,[status(thm)],[f9741]) ).

fof(f20627,plain,
    sub(spielleiterin_1_1,regisseur_1_1),
    inference(cnf_transformation,[status(thm)],[f10000]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sub(X2,name_1_1)
      | ~ sub(X1,name_1_1)
      | ~ prop(X0,britisch__1_1)
      | ~ obj(X4,X0)
      | ~ attr(X5,X6)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X2] :
      ( ~ sub(X2,name_1_1)
      | ! [X1] :
          ( ~ sub(X1,name_1_1)
          | ! [X0] :
              ( ~ prop(X0,britisch__1_1)
              | ! [X4] : ~ obj(X4,X0)
              | ! [X5,X6] : ~ attr(X5,X6)
              | ! [X3] : ~ attr(X3,X2)
              | ~ attr(X0,X1) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sub(X3,name_1_1)
      | ~ sub(X1,name_1_1)
      | ~ prop(X0,britisch__1_1)
      | ~ obj(X6,X0)
      | ~ attr(X4,X5)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20820,plain,
    attr(c7456,c7457),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    sub(c7457,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c7462,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    attr(c7513,c7514),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    prop(c7513,britisch__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    sub(c7513,autobauer_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    sub(c7514,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21052,definition,
    ! [X0,X1,X6] :
      ( sQ0_spl
    <=> ( ~ sub(X1,name_1_1)
        | ~ prop(X0,britisch__1_1)
        | ~ obj(X6,X0)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21053,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sub(X2,name_1_1)
      | ~ attr(X0,X2)
      | ~ obj(X1,X0)
      | ~ prop(X0,britisch__1_1) ),
    inference(component_clause,[status(thm)],[f21052]) ).

fof(f21055,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ( ~ sub(X3,name_1_1)
        | ~ attr(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21056,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ attr(X1,X0)
      | ~ sub(X0,name_1_1) ),
    inference(component_clause,[status(thm)],[f21055]) ).

fof(f21058,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21059,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21058]) ).

fof(f21061,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21052,f21055,f21058]) ).

fof(f21075,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20820,f21059]) ).

fof(f21076,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21075]) ).

fof(f21092,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ prop(c7513,britisch__1_1)
      | ~ sub(c7514,name_1_1)
      | ~ obj(X0,c7513) ),
    inference(resolution,[status(thm)],[f20831,f21053]) ).

fof(f21093,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ obj(X0,c7513) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21094,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ obj(X0,c7513) ),
    inference(component_clause,[status(thm)],[f21093]) ).

fof(f21096,definition,
    ( sQ6_spl
  <=> sub(c7514,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21098,plain,
    ( sQ6_spl
    | ~ sub(c7514,name_1_1) ),
    inference(component_clause,[status(thm)],[f21096]) ).

fof(f21099,definition,
    ( sQ7_spl
  <=> prop(c7513,britisch__1_1) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21101,plain,
    ( sQ7_spl
    | ~ prop(c7513,britisch__1_1) ),
    inference(component_clause,[status(thm)],[f21099]) ).

fof(f21102,plain,
    ( ~ sQ0_spl
    | ~ sQ7_spl
    | ~ sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21092,f21093,f21096,f21099,f21052]) ).

fof(f21103,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21101,f20832]) ).

fof(f21104,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21103]) ).

fof(f21105,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21098,f20834]) ).

fof(f21106,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21105]) ).

fof(f21107,plain,
    ( ~ sQ1_spl
    | ~ sub(c7514,name_1_1) ),
    inference(resolution,[status(thm)],[f21056,f20831]) ).

fof(f21108,plain,
    ( ~ sQ1_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f21107,f21096,f21055]) ).

fof(f21156,plain,
    ! [X0,X1,X2] :
      ( obj(sK51_skl(X0),X0)
      | ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ sub(X1,X2)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f10702,f10194]) ).

fof(f22692,definition,
    ! [X1] :
      ( sQ25_spl
    <=> ~ sub(c7513,X1) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f22693,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | ~ sub(c7513,X0) ),
    inference(component_clause,[status(thm)],[f22692]) ).

fof(f22703,plain,
    ( ~ sQ25_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20833,f22693]) ).

fof(f22714,plain,
    ~ sQ25_spl,
    inference(contradiction_clause,[status(thm)],[f22703]) ).

fof(f22931,definition,
    ! [X0] :
      ( sQ69_spl
    <=> ~ sub(spielleiterin_1_1,X0) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f22932,plain,
    ! [X0] :
      ( ~ sQ69_spl
      | ~ sub(spielleiterin_1_1,X0) ),
    inference(component_clause,[status(thm)],[f22931]) ).

fof(f22946,plain,
    ( ~ sQ69_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20627,f22932]) ).

fof(f22960,plain,
    ~ sQ69_spl,
    inference(contradiction_clause,[status(thm)],[f22946]) ).

fof(f23263,definition,
    ! [X0] :
      ( sQ128_spl
    <=> ~ sub(herrscher__1_1,X0) ),
    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).

fof(f23264,plain,
    ! [X0] :
      ( ~ sQ128_spl
      | ~ sub(herrscher__1_1,X0) ),
    inference(component_clause,[status(thm)],[f23263]) ).

fof(f23327,plain,
    ( ~ sQ128_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20213,f23264]) ).

fof(f23345,plain,
    ~ sQ128_spl,
    inference(contradiction_clause,[status(thm)],[f23327]) ).

fof(f23609,definition,
    ! [X0] :
      ( sQ181_spl
    <=> ~ sub(anf__374hrerin_1_1,X0) ),
    introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).

fof(f23610,plain,
    ! [X0] :
      ( ~ sQ181_spl
      | ~ sub(anf__374hrerin_1_1,X0) ),
    inference(component_clause,[status(thm)],[f23609]) ).

fof(f23613,plain,
    ( ~ sQ181_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f19854,f23610]) ).

fof(f23624,plain,
    ~ sQ181_spl,
    inference(contradiction_clause,[status(thm)],[f23613]) ).

fof(f23636,definition,
    ! [X0] :
      ( sQ184_spl
    <=> ~ sub(begr__374nderin_1_1,X0) ),
    introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).

fof(f23637,plain,
    ! [X0] :
      ( ~ sQ184_spl
      | ~ sub(begr__374nderin_1_1,X0) ),
    inference(component_clause,[status(thm)],[f23636]) ).

fof(f23640,plain,
    ( ~ sQ184_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f19939,f23637]) ).

fof(f23651,plain,
    ~ sQ184_spl,
    inference(contradiction_clause,[status(thm)],[f23640]) ).

fof(f23693,definition,
    ! [X0] :
      ( sQ191_spl
    <=> ~ sub(angreiferin_1_1,X0) ),
    introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).

fof(f23694,plain,
    ! [X0] :
      ( ~ sQ191_spl
      | ~ sub(angreiferin_1_1,X0) ),
    inference(component_clause,[status(thm)],[f23693]) ).

fof(f23697,plain,
    ( ~ sQ191_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f19858,f23694]) ).

fof(f23704,plain,
    ~ sQ191_spl,
    inference(contradiction_clause,[status(thm)],[f23697]) ).

fof(f23879,definition,
    ! [X2] :
      ( sQ223_spl
    <=> ~ sub(l__374gnerin_1_1,X2) ),
    introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).

fof(f23880,plain,
    ! [X0] :
      ( ~ sQ223_spl
      | ~ sub(l__374gnerin_1_1,X0) ),
    inference(component_clause,[status(thm)],[f23879]) ).

fof(f23894,plain,
    ( ~ sQ223_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20368,f23880]) ).

fof(f23901,plain,
    ~ sQ223_spl,
    inference(contradiction_clause,[status(thm)],[f23894]) ).

fof(f23991,definition,
    ! [X2] :
      ( sQ244_spl
    <=> ~ sub(erfinderin_1_1,X2) ),
    introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).

fof(f23992,plain,
    ! [X0] :
      ( ~ sQ244_spl
      | ~ sub(erfinderin_1_1,X0) ),
    inference(component_clause,[status(thm)],[f23991]) ).

fof(f24002,plain,
    ( ~ sQ244_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20062,f23992]) ).

fof(f24013,plain,
    ~ sQ244_spl,
    inference(contradiction_clause,[status(thm)],[f24002]) ).

fof(f24174,definition,
    ! [X2] :
      ( sQ271_spl
    <=> ~ sub(killerin_1_1,X2) ),
    introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).

fof(f24175,plain,
    ! [X0] :
      ( ~ sQ271_spl
      | ~ sub(killerin_1_1,X0) ),
    inference(component_clause,[status(thm)],[f24174]) ).

fof(f24193,plain,
    ( ~ sQ271_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20285,f24175]) ).

fof(f24205,plain,
    ~ sQ271_spl,
    inference(contradiction_clause,[status(thm)],[f24193]) ).

fof(f24613,plain,
    ! [X0,X1,X2] :
      ( ~ attr(X0,X2)
      | ~ sub(X2,X1)
      | ~ member(X1,cons(name_1_1,nil))
      | obj(sK51_skl(X0),X0) ),
    inference(resolution,[status(thm)],[f21156,f10194]) ).

fof(f24743,plain,
    ! [X0,X1] :
      ( ~ attr(X1,X0)
      | obj(sK51_skl(X1),X1)
      | ~ sub(X0,name_1_1) ),
    inference(resolution,[status(thm)],[f24613,f10191]) ).

fof(f24750,plain,
    ( obj(sK51_skl(c7513),c7513)
    | ~ sub(c7514,name_1_1) ),
    inference(resolution,[status(thm)],[f24743,f20831]) ).

fof(f24752,definition,
    ( sQ343_spl
  <=> sub(c7457,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).

fof(f24754,plain,
    ( sQ343_spl
    | ~ sub(c7457,name_1_1) ),
    inference(component_clause,[status(thm)],[f24752]) ).

fof(f24761,definition,
    ( sQ345_spl
  <=> obj(sK51_skl(c7513),c7513) ),
    introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).

fof(f24762,plain,
    ( ~ sQ345_spl
    | obj(sK51_skl(c7513),c7513) ),
    inference(component_clause,[status(thm)],[f24761]) ).

fof(f24764,plain,
    ( sQ345_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f24750,f21096,f24761]) ).

fof(f24767,definition,
    ( sQ346_spl
  <=> sub(c7462,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).

fof(f24769,plain,
    ( sQ346_spl
    | ~ sub(c7462,name_1_1) ),
    inference(component_clause,[status(thm)],[f24767]) ).

fof(f24775,plain,
    ( sQ343_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f24754,f20822]) ).

fof(f24776,plain,
    sQ343_spl,
    inference(contradiction_clause,[status(thm)],[f24775]) ).

fof(f24777,plain,
    ( sQ346_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f24769,f20826]) ).

fof(f24778,plain,
    sQ346_spl,
    inference(contradiction_clause,[status(thm)],[f24777]) ).

fof(f24779,plain,
    ( ~ sQ345_spl
    | ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f24762,f21094]) ).

fof(f24780,plain,
    ( ~ sQ345_spl
    | ~ sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f24779]) ).

fof(f24781,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21061,f21076,f21102,f21104,f21106,f21108,f22714,f22960,f23345,f23624,f23651,f23704,f23901,f24013,f24205,f24764,f24776,f24778,f24780]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+33 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  % Computer : n002.cluster.edu
% 0.18/0.48  % Model    : x86_64 x86_64
% 0.18/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.48  % Memory   : 8046.5625MB
% 0.18/0.48  % OS       : Linux 6.8.0-71-generic
% 0.18/0.48  % CPULimit : 300
% 0.18/0.48  % WCLimit  : 300
% 0.18/0.48  % DateTime : Mon Sep 21 15:09:03 UTC 2026
% 0.18/0.48  % CPUTime  : 
% 0.22/0.61  % Drodi V4.1.1
% 205.23/26.59  % Refutation found
% 205.23/26.59  % SZS status Theorem for theBenchmark: Theorem is valid
% 205.23/26.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.40/27.11  % Elapsed time: 26.610014 seconds
% 21.40/27.11  % CPU time: 206.736909 seconds
% 21.40/27.11  % Total memory used: 717.077 MB
% 21.40/27.11  % Net memory used: 663.217 MB
%------------------------------------------------------------------------------