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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR112+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 12:13:47 PM UTC 2026

% Result   : Theorem 76.98s 10.25s
% Output   : CNFRefutation 60.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   71 (  14 unt;   8 def)
%            Number of atoms       :  427 (   0 equ)
%            Maximal formula atoms :  166 (   6 avg)
%            Number of connectives :  538 ( 182   ~; 155   |; 191   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  166 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   26 (  25 usr;   9 prp; 0-9 aty)
%            Number of functors    :   51 (  51 usr;  49 con; 0-2 aty)
%            Number of variables   :  155 ( 136   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f159,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,hei__337en_1_1)
          & arg2(X3,X2)
          & arg1(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( val(X6,u2_0)
      & subs(X4,hei__337en_1_1)
      & sub(X6,name_1_1)
      & sub(X1,bahn_1_1)
      & pred(X3,u1_1_1)
      & pred(X2,linie_1_1)
      & attr(X7,X6)
      & arg2(X4,X0)
      & arg1(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( val(X6,u2_0)
        & subs(X4,hei__337en_1_1)
        & sub(X6,name_1_1)
        & sub(X1,bahn_1_1)
        & pred(X3,u1_1_1)
        & pred(X2,linie_1_1)
        & attr(X7,X6)
        & arg2(X4,X0)
        & arg1(X4,X5) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(c5901,varia_c)
    & refer(c5901,det)
    & quant(c5901,one)
    & gener(c5901,sp)
    & fact(c5901,real)
    & etype(c5901,int0)
    & card(c5901,int1)
    & sort(c5901,o)
    & varia(c6138,varia_c)
    & refer(c6138,refer_c)
    & quant(c6138,quant_c)
    & gener(c6138,gener_c)
    & fact(c6138,real)
    & etype(c6138,etype_c)
    & card(c6138,card_c)
    & sort(c6138,ent)
    & varia(minute_1_1,varia_c)
    & refer(minute_1_1,refer_c)
    & quant(minute_1_1,quant_c)
    & gener(minute_1_1,ge)
    & fact(minute_1_1,real)
    & etype(minute_1_1,etype_c)
    & card(minute_1_1,card_c)
    & sort(minute_1_1,ta)
    & sort(minute_1_1,oa)
    & sort(minute_1_1,me)
    & varia(c5937,varia_c)
    & refer(c5937,refer_c)
    & quant(c5937,quant_c)
    & gener(c5937,gener_c)
    & fact(c5937,real)
    & etype(c5937,etype_c)
    & card(c5937,card_c)
    & sort(c5937,ta)
    & sort(c5937,oa)
    & sort(c5937,me)
    & varia(abstand_1_1,varia_c)
    & refer(abstand_1_1,refer_c)
    & quant(abstand_1_1,one)
    & gener(abstand_1_1,ge)
    & fact(abstand_1_1,real)
    & etype(abstand_1_1,int0)
    & card(abstand_1_1,int1)
    & sort(abstand_1_1,na)
    & sort(abstand_1_1,io)
    & varia(c5932,con)
    & refer(c5932,det)
    & quant(c5932,one)
    & gener(c5932,sp)
    & fact(c5932,real)
    & etype(c5932,int0)
    & card(c5932,int1)
    & sort(c5932,na)
    & sort(c5932,io)
    & varia(u3_1_1,varia_c)
    & refer(u3_1_1,refer_c)
    & quant(u3_1_1,one)
    & gener(u3_1_1,ge)
    & fact(u3_1_1,real)
    & etype(u3_1_1,int0)
    & card(u3_1_1,int1)
    & sort(u3_1_1,o)
    & varia(c5921,varia_c)
    & refer(c5921,indet)
    & quant(c5921,mult)
    & gener(c5921,gener_c)
    & fact(c5921,real)
    & etype(c5921,int1)
    & card(c5921,cons(x_constant,cons(int1,nil)))
    & sort(c5921,o)
    & sort(u2_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(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(c5920,varia_c)
    & refer(c5920,indet)
    & quant(c5920,one)
    & gener(c5920,sp)
    & fact(c5920,real)
    & etype(c5920,int0)
    & card(c5920,int1)
    & sort(c5920,na)
    & varia(c5919,con)
    & refer(c5919,det)
    & quant(c5919,one)
    & gener(c5919,sp)
    & fact(c5919,real)
    & etype(c5919,int1)
    & card(c5919,int1)
    & sort(c5919,io)
    & sort(c5919,d)
    & varia(u1_1_1,varia_c)
    & refer(u1_1_1,refer_c)
    & quant(u1_1_1,one)
    & gener(u1_1_1,ge)
    & fact(u1_1_1,real)
    & etype(u1_1_1,int0)
    & card(u1_1_1,int1)
    & sort(u1_1_1,o)
    & varia(c5912,varia_c)
    & refer(c5912,indet)
    & quant(c5912,mult)
    & gener(c5912,gener_c)
    & fact(c5912,real)
    & etype(c5912,int1)
    & card(c5912,cons(x_constant,cons(int1,nil)))
    & sort(c5912,o)
    & varia(linie_1_1,varia_c)
    & refer(linie_1_1,refer_c)
    & quant(linie_1_1,one)
    & gener(linie_1_1,ge)
    & fact(linie_1_1,real)
    & etype(linie_1_1,int0)
    & card(linie_1_1,int1)
    & sort(linie_1_1,io)
    & sort(linie_1_1,d)
    & varia(c5910,varia_c)
    & refer(c5910,indet)
    & quant(c5910,mult)
    & gener(c5910,gener_c)
    & fact(c5910,real)
    & etype(c5910,int1)
    & card(c5910,cons(x_constant,cons(int1,nil)))
    & sort(c5910,io)
    & sort(c5910,d)
    & varia(bahn_1_1,varia_c)
    & refer(bahn_1_1,refer_c)
    & quant(bahn_1_1,one)
    & gener(bahn_1_1,ge)
    & fact(bahn_1_1,real)
    & etype(bahn_1_1,int0)
    & card(bahn_1_1,int1)
    & sort(bahn_1_1,io)
    & varia(c5909,varia_c)
    & refer(c5909,refer_c)
    & quant(c5909,one)
    & gener(c5909,gener_c)
    & fact(c5909,real)
    & etype(c5909,int0)
    & card(c5909,int1)
    & sort(c5909,io)
    & tupl_p9(c6138,c5901,c5909,c5910,c5912,c5919,c5921,c5932,c5937)
    & pred(c5937,minute_1_1)
    & sub(c5932,abstand_1_1)
    & pred(c5921,u3_1_1)
    & val(c5920,u2_0)
    & sub(c5920,name_1_1)
    & sub(c5919,einrichtung_1_2)
    & attr(c5919,c5920)
    & pred(c5912,u1_1_1)
    & pred(c5910,linie_1_1)
    & sub(c5909,bahn_1_1) ),
    file('/export/starexec/sandbox2/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,cons(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10193]) ).

fof(f10692,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,hei__337en_1_1)
          & arg2(X3,X2)
          & arg1(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)],[f159]) ).

fof(f10693,plain,
    ! [X2] :
      ( ? [X3] :
          ( subs(X3,hei__337en_1_1)
          & arg2(X3,X2)
          & arg1(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)],[f10692]) ).

fof(f10694,plain,
    ! [X2] :
      ( ( subs(sK50_skl(X2),hei__337en_1_1)
        & arg2(sK50_skl(X2),X2)
        & arg1(sK50_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,[sK50_skl]),skolemize(X3,sK50_skl(X2))],[f10693]) ).

fof(f10695,plain,
    ! [X0,X1,X2] :
      ( arg1(sK50_skl(X0),X0)
      | ~ sub(X1,X2)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10694]) ).

fof(f10696,plain,
    ! [X0,X1,X2] :
      ( arg2(sK50_skl(X0),X0)
      | ~ sub(X1,X2)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10694]) ).

fof(f10697,plain,
    ! [X0,X1,X2] :
      ( subs(sK50_skl(X0),hei__337en_1_1)
      | ~ sub(X1,X2)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10694]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ val(X6,u2_0)
      | ~ subs(X4,hei__337en_1_1)
      | ~ sub(X6,name_1_1)
      | ~ sub(X1,bahn_1_1)
      | ~ pred(X3,u1_1_1)
      | ~ pred(X2,linie_1_1)
      | ~ attr(X7,X6)
      | ~ arg2(X4,X0)
      | ~ arg1(X4,X5) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X6] :
      ( ~ val(X6,u2_0)
      | ! [X4] :
          ( ~ subs(X4,hei__337en_1_1)
          | ~ sub(X6,name_1_1)
          | ! [X1] : ~ sub(X1,bahn_1_1)
          | ! [X3] : ~ pred(X3,u1_1_1)
          | ! [X2] : ~ pred(X2,linie_1_1)
          | ! [X7] : ~ attr(X7,X6)
          | ! [X0] : ~ arg2(X4,X0)
          | ! [X5] : ~ arg1(X4,X5) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ val(X4,u2_0)
      | ~ subs(X0,hei__337en_1_1)
      | ~ sub(X4,name_1_1)
      | ~ sub(X7,bahn_1_1)
      | ~ pred(X6,u1_1_1)
      | ~ pred(X5,linie_1_1)
      | ~ attr(X3,X4)
      | ~ arg2(X0,X2)
      | ~ arg1(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20818,plain,
    sub(c5909,bahn_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20819,plain,
    pred(c5910,linie_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    pred(c5912,u1_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    attr(c5919,c5920),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c5920,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    val(c5920,u2_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21019,definition,
    ! [X0,X1,X2] :
      ( sQ0_spl
    <=> ( ~ subs(X0,hei__337en_1_1)
        | ~ arg2(X0,X2)
        | ~ arg1(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21020,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ subs(X0,hei__337en_1_1)
      | ~ arg2(X0,X2)
      | ~ arg1(X0,X1) ),
    inference(component_clause,[status(thm)],[f21019]) ).

fof(f21022,definition,
    ! [X3,X4] :
      ( sQ1_spl
    <=> ( ~ val(X4,u2_0)
        | ~ sub(X4,name_1_1)
        | ~ attr(X3,X4) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21023,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,u2_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21022]) ).

fof(f21025,definition,
    ! [X5] :
      ( sQ2_spl
    <=> ~ pred(X5,linie_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21026,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ pred(X0,linie_1_1) ),
    inference(component_clause,[status(thm)],[f21025]) ).

fof(f21028,definition,
    ! [X6] :
      ( sQ3_spl
    <=> ~ pred(X6,u1_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21029,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ pred(X0,u1_1_1) ),
    inference(component_clause,[status(thm)],[f21028]) ).

fof(f21031,definition,
    ! [X7] :
      ( sQ4_spl
    <=> ~ sub(X7,bahn_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21032,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sub(X0,bahn_1_1) ),
    inference(component_clause,[status(thm)],[f21031]) ).

fof(f21034,plain,
    ( sQ4_spl
    | sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21019,f21022,f21025,f21028,f21031]) ).

fof(f21035,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20818,f21032]) ).

fof(f21036,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21035]) ).

fof(f21037,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20820,f21029]) ).

fof(f21038,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21037]) ).

fof(f21039,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20819,f21026]) ).

fof(f21040,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21039]) ).

fof(f21057,plain,
    ! [X0,X1,X2] :
      ( ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil)))
      | subs(sK50_skl(X0),hei__337en_1_1)
      | ~ sub(X1,X2)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f10697,f10194]) ).

fof(f21123,plain,
    ! [X0,X1,X2] :
      ( ~ member(X2,cons(name_1_1,nil))
      | subs(sK50_skl(X0),hei__337en_1_1)
      | ~ sub(X1,X2)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21057,f10194]) ).

fof(f21175,plain,
    ! [X0,X1] :
      ( subs(sK50_skl(X0),hei__337en_1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21123,f10191]) ).

fof(f21176,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ arg2(sK50_skl(X0),X3)
      | ~ arg1(sK50_skl(X0),X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21175,f21020]) ).

fof(f21180,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ sub(X3,X4)
      | ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X3)
      | ~ arg1(sK50_skl(X0),X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21176,f10696]) ).

fof(f21181,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ sub(X4,X5)
      | ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X4)
      | ~ sub(X2,X3)
      | ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21180,f10695]) ).

fof(f21193,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ member(X5,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ sub(X4,X5)
      | ~ attr(X0,X4)
      | ~ sub(X2,X3)
      | ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21181,f10194]) ).

fof(f21195,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ member(X5,cons(name_1_1,nil))
      | ~ sub(X4,X5)
      | ~ attr(X0,X4)
      | ~ sub(X2,X3)
      | ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21193,f10194]) ).

fof(f21197,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ member(X3,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ member(X5,cons(name_1_1,nil))
      | ~ sub(X4,X5)
      | ~ attr(X0,X4)
      | ~ sub(X2,X3)
      | ~ attr(X0,X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21195,f10194]) ).

fof(f21199,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ0_spl
      | ~ member(X3,cons(name_1_1,nil))
      | ~ member(X5,cons(name_1_1,nil))
      | ~ sub(X4,X5)
      | ~ attr(X0,X4)
      | ~ sub(X2,X3)
      | ~ attr(X0,X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21197,f10194]) ).

fof(f21202,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ0_spl
      | ~ member(X3,cons(name_1_1,nil))
      | ~ sub(X4,name_1_1)
      | ~ attr(X0,X4)
      | ~ sub(X2,X3)
      | ~ attr(X0,X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21199,f10191]) ).

fof(f21204,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ sub(X3,name_1_1)
      | ~ attr(X0,X3)
      | ~ sub(X2,name_1_1)
      | ~ attr(X0,X2)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21202,f10191]) ).

fof(f21215,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c5920,name_1_1)
      | ~ sub(c5920,name_1_1)
      | ~ sub(X0,name_1_1)
      | ~ attr(c5919,X0) ),
    inference(resolution,[status(thm)],[f21204,f20821]) ).

fof(f21230,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ( ~ sub(X0,name_1_1)
        | ~ attr(c5919,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21231,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ sub(X0,name_1_1)
      | ~ attr(c5919,X0) ),
    inference(component_clause,[status(thm)],[f21230]) ).

fof(f21233,definition,
    ( sQ6_spl
  <=> sub(c5920,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21235,plain,
    ( sQ6_spl
    | ~ sub(c5920,name_1_1) ),
    inference(component_clause,[status(thm)],[f21233]) ).

fof(f21236,plain,
    ( ~ sQ0_spl
    | ~ sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21215,f21230,f21233,f21019]) ).

fof(f21239,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21235,f20823]) ).

fof(f21240,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21239]) ).

fof(f21241,plain,
    ( ~ sQ5_spl
    | ~ sub(c5920,name_1_1) ),
    inference(resolution,[status(thm)],[f21231,f20821]) ).

fof(f21242,plain,
    ( ~ sQ5_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f21241,f21233,f21230]) ).

fof(f21247,plain,
    ( ~ sQ1_spl
    | ~ val(c5920,u2_0)
    | ~ sub(c5920,name_1_1) ),
    inference(resolution,[status(thm)],[f21023,f20821]) ).

fof(f21252,definition,
    ( sQ7_spl
  <=> val(c5920,u2_0) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21254,plain,
    ( sQ7_spl
    | ~ val(c5920,u2_0) ),
    inference(component_clause,[status(thm)],[f21252]) ).

fof(f21255,plain,
    ( ~ sQ1_spl
    | ~ sQ7_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f21247,f21233,f21252,f21022]) ).

fof(f21256,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21254,f20824]) ).

fof(f21257,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21256]) ).

fof(f21258,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21034,f21036,f21038,f21040,f21236,f21240,f21242,f21255,f21257]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR112+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n026.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 15:05:24 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.25/0.51  % Drodi V4.1.1
% 76.98/10.25  % Refutation found
% 76.98/10.25  % SZS status Theorem for theBenchmark: Theorem is valid
% 76.98/10.25  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 60.78/10.35  % Elapsed time: 9.961876 seconds
% 60.78/10.35  % CPU time: 77.620819 seconds
% 60.78/10.35  % Total memory used: 572.813 MB
% 60.78/10.35  % Net memory used: 534.131 MB
%------------------------------------------------------------------------------