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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR115+25 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 : Sun Sep 27 07:07:41 AM UTC 2026

% Result   : Theorem 6.55s 1.44s
% Output   : CNFRefutation 6.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  12 unt;   0 def)
%            Number of atoms       :  484 (   0 equ)
%            Maximal formula atoms :  360 (  15 avg)
%            Number of connectives :  524 (  72   ~;  61   |; 389   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  360 (  16 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-16 aty)
%            Number of functors    :   81 (  81 usr;  79 con; 0-3 aty)
%            Number of variables   :   79 (  21 sgn  26   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(member_first,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('theBenchmark.p',member_first) ).

fof(member_second,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('theBenchmark.p',member_second) ).

fof(ave07_era5_synth_qa07_007_mira_news_1163,axiom,
    ( sort(politisch__1_1,tq)
    & varia(personal__1_1,varia_c)
    & refer(personal__1_1,refer_c)
    & quant(personal__1_1,quant_c)
    & gener(personal__1_1,ge)
    & fact(personal__1_1,real)
    & etype(personal__1_1,int1)
    & card(personal__1_1,card_c)
    & sort(personal__1_1,io)
    & sort(personal__1_1,d)
    & varia(motto__1_1,varia_c)
    & refer(motto__1_1,refer_c)
    & quant(motto__1_1,one)
    & gener(motto__1_1,ge)
    & fact(motto__1_1,real)
    & etype(motto__1_1,int0)
    & card(motto__1_1,int1)
    & sort(motto__1_1,io)
    & varia(grundsatz_1_1,varia_c)
    & refer(grundsatz_1_1,refer_c)
    & quant(grundsatz_1_1,one)
    & gener(grundsatz_1_1,ge)
    & fact(grundsatz_1_1,real)
    & etype(grundsatz_1_1,int0)
    & card(grundsatz_1_1,int1)
    & sort(grundsatz_1_1,io)
    & gener(eignen_1_1,ge)
    & fact(eignen_1_1,real)
    & sort(eignen_1_1,st)
    & varia(c133311,varia_c)
    & refer(c133311,det)
    & quant(c133311,quant_c)
    & gener(c133311,sp)
    & fact(c133311,real)
    & etype(c133311,int3)
    & etype(c133311,int2)
    & etype(c133311,int1)
    & card(c133311,card_c)
    & sort(c133311,d)
    & varia(c133747,varia_c)
    & refer(c133747,refer_c)
    & quant(c133747,quant_c)
    & gener(c133747,gener_c)
    & fact(c133747,real)
    & etype(c133747,etype_c)
    & card(c133747,card_c)
    & sort(c133747,ent)
    & varia(c133480,con)
    & refer(c133480,det)
    & quant(c133480,one)
    & gener(c133480,sp)
    & fact(c133480,real)
    & etype(c133480,int0)
    & card(c133480,int1)
    & sort(c133480,io)
    & sort(c133480,d)
    & varia(engagement_1_1,varia_c)
    & refer(engagement_1_1,refer_c)
    & quant(engagement_1_1,one)
    & gener(engagement_1_1,ge)
    & fact(engagement_1_1,real)
    & etype(engagement_1_1,int0)
    & card(engagement_1_1,int1)
    & sort(engagement_1_1,ad)
    & varia(c133476,con)
    & refer(c133476,det)
    & quant(c133476,one)
    & gener(c133476,sp)
    & fact(c133476,real)
    & etype(c133476,int0)
    & card(c133476,int1)
    & sort(c133476,ad)
    & sort(personalpolitisch_1_1,tq)
    & varia(grundsatzthema_1_1,varia_c)
    & refer(grundsatzthema_1_1,refer_c)
    & quant(grundsatzthema_1_1,one)
    & gener(grundsatzthema_1_1,ge)
    & fact(grundsatzthema_1_1,real)
    & etype(grundsatzthema_1_1,int0)
    & card(grundsatzthema_1_1,int1)
    & sort(grundsatzthema_1_1,io)
    & varia(c133469,varia_c)
    & refer(c133469,refer_c)
    & quant(c133469,mult)
    & gener(c133469,gener_c)
    & fact(c133469,real)
    & etype(c133469,int1)
    & card(c133469,cons(x_constant,cons(int1,nil)))
    & sort(c133469,io)
    & sort(bmw_0,fe)
    & varia(c133464,varia_c)
    & refer(c133464,indet)
    & quant(c133464,one)
    & gener(c133464,sp)
    & fact(c133464,real)
    & etype(c133464,int0)
    & card(c133464,int1)
    & sort(c133464,na)
    & varia(c133463,con)
    & refer(c133463,det)
    & quant(c133463,one)
    & gener(c133463,sp)
    & fact(c133463,real)
    & etype(c133463,int0)
    & card(c133463,int1)
    & sort(c133463,io)
    & sort(c133463,d)
    & sort(hackenberg_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(c133416,varia_c)
    & refer(c133416,indet)
    & quant(c133416,one)
    & gener(c133416,sp)
    & fact(c133416,real)
    & etype(c133416,int0)
    & card(c133416,int1)
    & sort(c133416,na)
    & varia(c133415,con)
    & refer(c133415,det)
    & quant(c133415,one)
    & gener(c133415,sp)
    & fact(c133415,real)
    & etype(c133415,int0)
    & card(c133415,int1)
    & sort(c133415,io)
    & sort(c133415,d)
    & sort(peter_0,fe)
    & varia(eigenname_1_1,varia_c)
    & refer(eigenname_1_1,refer_c)
    & quant(eigenname_1_1,one)
    & gener(eigenname_1_1,ge)
    & fact(eigenname_1_1,real)
    & etype(eigenname_1_1,int0)
    & card(eigenname_1_1,int1)
    & sort(eigenname_1_1,na)
    & varia(mensch_1_1,varia_c)
    & refer(mensch_1_1,refer_c)
    & quant(mensch_1_1,one)
    & gener(mensch_1_1,ge)
    & fact(mensch_1_1,real)
    & etype(mensch_1_1,int0)
    & card(mensch_1_1,int1)
    & sort(mensch_1_1,d)
    & varia(c133412,varia_c)
    & refer(c133412,indet)
    & quant(c133412,one)
    & gener(c133412,sp)
    & fact(c133412,real)
    & etype(c133412,int0)
    & card(c133412,int1)
    & sort(c133412,na)
    & varia(c133411,con)
    & refer(c133411,det)
    & quant(c133411,one)
    & gener(c133411,sp)
    & fact(c133411,real)
    & etype(c133411,int0)
    & card(c133411,int1)
    & sort(c133411,d)
    & sort(neo_1_1,nq)
    & varia(kraft_1_1,varia_c)
    & refer(kraft_1_1,refer_c)
    & quant(kraft_1_1,one)
    & gener(kraft_1_1,ge)
    & fact(kraft_1_1,real)
    & etype(kraft_1_1,int0)
    & card(kraft_1_1,int1)
    & sort(kraft_1_1,io)
    & varia(c133388,varia_c)
    & refer(c133388,refer_c)
    & quant(c133388,mult)
    & gener(c133388,gener_c)
    & fact(c133388,real)
    & etype(c133388,int1)
    & card(c133388,cons(x_constant,cons(int1,nil)))
    & sort(c133388,io)
    & varia(kosten__1_1,varia_c)
    & refer(kosten__1_1,refer_c)
    & quant(kosten__1_1,one)
    & gener(kosten__1_1,ge)
    & fact(kosten__1_1,real)
    & etype(kosten__1_1,int1)
    & card(kosten__1_1,int1)
    & sort(kosten__1_1,oa)
    & sort(kosten__1_1,io)
    & varia(c133383,con)
    & refer(c133383,det)
    & quant(c133383,mult)
    & gener(c133383,sp)
    & fact(c133383,real)
    & etype(c133383,int2)
    & card(c133383,int1)
    & sort(c133383,oa)
    & sort(c133383,io)
    & varia(firma_1_1,varia_c)
    & refer(firma_1_1,refer_c)
    & quant(firma_1_1,one)
    & gener(firma_1_1,ge)
    & fact(firma_1_1,real)
    & etype(firma_1_1,int0)
    & card(firma_1_1,int1)
    & sort(firma_1_1,io)
    & sort(firma_1_1,d)
    & varia(c133371,con)
    & refer(c133371,det)
    & quant(c133371,one)
    & gener(c133371,sp)
    & fact(c133371,real)
    & etype(c133371,int0)
    & card(c133371,int1)
    & sort(c133371,io)
    & sort(c133371,d)
    & varia(eltern_1_1,varia_c)
    & refer(eltern_1_1,refer_c)
    & quant(eltern_1_1,one)
    & gener(eltern_1_1,ge)
    & fact(eltern_1_1,real)
    & etype(eltern_1_1,int0)
    & card(eltern_1_1,int1)
    & sort(eltern_1_1,d)
    & varia(c133366,con)
    & refer(c133366,det)
    & quant(c133366,mult)
    & gener(c133366,sp)
    & fact(c133366,real)
    & etype(c133366,int1)
    & card(c133366,cons(x_constant,cons(int1,nil)))
    & sort(c133366,d)
    & varia(know_1_1,varia_c)
    & refer(know_1_1,refer_c)
    & quant(know_1_1,one)
    & gener(know_1_1,ge)
    & fact(know_1_1,real)
    & etype(know_1_1,int0)
    & card(know_1_1,int1)
    & sort(know_1_1,o)
    & varia(c133357,con)
    & refer(c133357,det)
    & quant(c133357,one)
    & gener(c133357,sp)
    & fact(c133357,real)
    & etype(c133357,int0)
    & card(c133357,int1)
    & sort(c133357,o)
    & varia(kind_1_1,varia_c)
    & refer(kind_1_1,refer_c)
    & quant(kind_1_1,one)
    & gener(kind_1_1,ge)
    & fact(kind_1_1,real)
    & etype(kind_1_1,int0)
    & card(kind_1_1,int1)
    & sort(kind_1_1,d)
    & varia(c133332,con)
    & refer(c133332,det)
    & quant(c133332,mult)
    & gener(c133332,sp)
    & fact(c133332,real)
    & etype(c133332,int1)
    & card(c133332,cons(x_constant,cons(int1,nil)))
    & sort(c133332,d)
    & sort(c133296,tq)
    & varia(c133326,varia_c)
    & refer(c133326,refer_c)
    & quant(c133326,mult)
    & gener(c133326,gener_c)
    & fact(c133326,real)
    & etype(c133326,int1)
    & card(c133326,cons(x_constant,cons(int1,nil)))
    & sort(c133326,d)
    & varia(anschaffung_1_1,varia_c)
    & refer(anschaffung_1_1,refer_c)
    & quant(anschaffung_1_1,one)
    & gener(anschaffung_1_1,ge)
    & fact(anschaffung_1_1,real)
    & etype(anschaffung_1_1,int0)
    & card(anschaffung_1_1,int1)
    & sort(anschaffung_1_1,ad)
    & varia(c133316,con)
    & refer(c133316,det)
    & quant(c133316,one)
    & gener(c133316,sp)
    & fact(c133316,real)
    & etype(c133316,int0)
    & card(c133316,int1)
    & sort(c133316,ad)
    & varia(platz_1_1,varia_c)
    & refer(platz_1_1,refer_c)
    & quant(platz_1_1,one)
    & gener(platz_1_1,ge)
    & fact(platz_1_1,real)
    & etype(platz_1_1,int0)
    & card(platz_1_1,int1)
    & sort(platz_1_1,d)
    & varia(betreuung_1_1,varia_c)
    & refer(betreuung_1_1,refer_c)
    & quant(betreuung_1_1,one)
    & gener(betreuung_1_1,ge)
    & fact(betreuung_1_1,real)
    & etype(betreuung_1_1,int0)
    & card(betreuung_1_1,int1)
    & sort(betreuung_1_1,ad)
    & varia(betreuungsplatz_1_1,varia_c)
    & refer(betreuungsplatz_1_1,refer_c)
    & quant(betreuungsplatz_1_1,one)
    & gener(betreuungsplatz_1_1,ge)
    & fact(betreuungsplatz_1_1,real)
    & etype(betreuungsplatz_1_1,int0)
    & card(betreuungsplatz_1_1,int1)
    & sort(betreuungsplatz_1_1,d)
    & impl(personalpolitisch_1_1,politisch__1_1)
    & assoc(personalpolitisch_1_1,personal__1_1)
    & sub(grundsatzthema_1_1,motto__1_1)
    & assoc(grundsatzthema_1_1,grundsatz_1_1)
    & chsp2(eignen_1_1,c133296)
    & tupl_p16(c133747,c133311,c133316,c133326,c133332,c133311,c133357,c133366,c133371,c133383,c133388,c133411,c133415,c133463,c133469,c133476)
    & sub(c133480,firma_1_1)
    & attch(c133480,c133476)
    & subs(c133476,engagement_1_1)
    & prop(c133469,personalpolitisch_1_1)
    & pred(c133469,grundsatzthema_1_1)
    & val(c133464,bmw_0)
    & sub(c133464,name_1_1)
    & sub(c133463,firma_1_1)
    & attr(c133463,c133464)
    & val(c133416,hackenberg_0)
    & sub(c133416,name_1_1)
    & sub(c133415,stadt__1_1)
    & attr(c133415,c133416)
    & val(c133412,peter_0)
    & sub(c133412,eigenname_1_1)
    & sub(c133411,mensch_1_1)
    & attr(c133411,c133412)
    & prop(c133388,neo_1_1)
    & pred(c133388,kraft_1_1)
    & pred(c133383,kosten__1_1)
    & sub(c133371,firma_1_1)
    & pred(c133366,eltern_1_1)
    & sub(c133357,know_1_1)
    & pred(c133332,kind_1_1)
    & prop(c133326,c133296)
    & pred(c133326,betreuungsplatz_1_1)
    & subs(c133316,anschaffung_1_1)
    & sub(betreuungsplatz_1_1,platz_1_1)
    & assoc(betreuungsplatz_1_1,betreuung_1_1) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1163) ).

fof(attr_name__abk__374rzung_stehen_1_b_f__374r,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('theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).

fof(synth_qa07_007_mira_news_1163,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & sub(X2,name_1_1)
      & sub(X0,firma_1_1)
      & sub(X1,name_1_1)
      & obj(X4,X0)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('theBenchmark.p',synth_qa07_007_mira_news_1163) ).

fof(synth_qa07_007_mira_news_1163_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X2,bmw_0)
        & val(X1,bmw_0)
        & sub(X2,name_1_1)
        & sub(X0,firma_1_1)
        & sub(X1,name_1_1)
        & obj(X4,X0)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1163]) ).

fof(nnf_60,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(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk,plain,
    ! [X0,X1,X2] :
      ( ( subs(sK0(X0,X1,X2),stehen_1_b)
        & scar(sK0(X0,X1,X2),X2)
        & obj(sK0(X0,X1,X2),X2)
        & mcont(sK0(X0,X1,X2),X2) )
      | ~ 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,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_60]) ).

fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
    ( ! [VAR_0,VAR_1,VAR_2] :
        ( subs(sK0(VAR_1,VAR_2,VAR_0),stehen_1_b)
        | ~ sub(VAR_1,VAR_2)
        | ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( scar(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
        | ~ sub(VAR_1,VAR_2)
        | ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( obj(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
        | ~ sub(VAR_1,VAR_2)
        | ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(VAR_0,VAR_1) )
    & ! [VAR_0,VAR_1,VAR_2] :
        ( mcont(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
        | ~ sub(VAR_1,VAR_2)
        | ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(VAR_0,VAR_1) ) ),
    inference(cnf_transformation,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk]) ).

cnf(c_112,plain,
    ( obj(sK0(B,C,A),A)
    | ~ sub(B,C)
    | ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ attr(A,B) ),
    inference(split_conjunct,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

cnf(c_146,plain,
    member(A,cons(A,B)),
    inference(clausify,[status(thm)],[member_first]) ).

cnf(c_147,plain,
    ( member(A,cons(C,B))
    | ~ member(A,B) ),
    inference(clausify,[status(thm)],[member_second]) ).

cnf(c_263,plain,
    attr(c133411,c133412),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1163]) ).

cnf(c_271,plain,
    attr(c133463,c133464),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1163]) ).

cnf(c_272,plain,
    sub(c133463,firma_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1163]) ).

cnf(c_273,plain,
    sub(c133464,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1163]) ).

cnf(c_274,plain,
    val(c133464,bmw_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1163]) ).

cnf(c_611,negated_conjecture,
    ( ~ val(D,bmw_0)
    | ~ val(B,bmw_0)
    | ~ sub(D,name_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ obj(V6,A)
    | ~ attr(E,F)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1163_neg]) ).

cnf(c_612,plain,
    member(A,cons(B,cons(A,C))),
    inference(resolve,[status(thm)],[c_147,c_146]) ).

cnf(c_639,plain,
    ( ~ val(D,bmw_0)
    | ~ val(B,bmw_0)
    | ~ sub(D,name_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ obj(E,A)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_263,c_611]) ).

cnf(c_3259,plain,
    member(A,cons(B,cons(C,cons(A,D)))),
    inference(resolve,[status(thm)],[c_147,c_612]) ).

cnf(c_3386,plain,
    ( ~ val(B,bmw_0)
    | ~ val(c133464,bmw_0)
    | ~ sub(B,name_1_1)
    | ~ sub(c133463,firma_1_1)
    | ~ sub(c133464,name_1_1)
    | ~ obj(C,c133463)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_639,c_271]) ).

cnf(c_3387,plain,
    ( ~ val(c133464,bmw_0)
    | ~ val(c133464,bmw_0)
    | ~ sub(c133464,name_1_1)
    | ~ sub(c133463,firma_1_1)
    | ~ sub(c133464,name_1_1)
    | ~ obj(A,c133463) ),
    inference(resolve,[status(thm)],[c_3386,c_271]) ).

cnf(c_3388,plain,
    ( ~ val(c133464,bmw_0)
    | ~ val(c133464,bmw_0)
    | ~ sub(c133464,name_1_1)
    | ~ sub(c133463,firma_1_1)
    | ~ obj(A,c133463) ),
    inference(resolve,[status(thm)],[c_3387,c_273]) ).

cnf(c_3389,plain,
    ( ~ val(c133464,bmw_0)
    | ~ val(c133464,bmw_0)
    | ~ sub(c133464,name_1_1)
    | ~ obj(A,c133463) ),
    inference(resolve,[status(thm)],[c_3388,c_272]) ).

cnf(c_3390,plain,
    ( ~ val(c133464,bmw_0)
    | ~ val(c133464,bmw_0)
    | ~ obj(A,c133463) ),
    inference(resolve,[status(thm)],[c_3389,c_273]) ).

cnf(c_3391,plain,
    ( ~ val(c133464,bmw_0)
    | ~ obj(A,c133463) ),
    inference(resolve,[status(thm)],[c_3390,c_274]) ).

cnf(c_3376,plain,
    ~ obj(A,c133463),
    inference(resolve,[status(thm)],[c_3391,c_274]) ).

cnf(c_3392,plain,
    ( obj(sK0(c133464,A,c133463),c133463)
    | ~ sub(c133464,A)
    | ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_112,c_271]) ).

cnf(c_3393,plain,
    ( obj(sK0(c133464,name_1_1,c133463),c133463)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_3392,c_273]) ).

cnf(c_3394,plain,
    ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
    inference(resolve,[status(thm)],[c_3393,c_3376]) ).

cnf(c_3385,plain,
    $false,
    inference(resolve,[status(thm)],[c_3259,c_3394]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+25 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42  % Computer : n017.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Sun Sep 27 01:03:18 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43  % Process 2045224 was started by sandbox on n017,
% 0.16/0.43  % Sun Sep 27 01:03:18 2026
% 0.16/0.43  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 6.55/1.44  
% 6.55/1.44  % SInE (scan): 94 to sos (tol 1.5x), 22 to usable (tol 2.0x), 10072 zapped, of 10188 axioms (depth 3).
% 6.55/1.44  
% 6.55/1.44  % From the command line: assign(max_seconds, 300).
% 6.55/1.44  
% 6.55/1.44  % given #500 (F,wt=17): 1012 -unter(A,c133476) | -loc(c133371,A) | -subs(c133371,dominanz_1_1) | -attr(c133371,c133464) | -scarrel(B,engagement_1_1).  [resolve(213,d,749,b)].
% 6.55/1.44  
% 6.55/1.44  % SZS status Theorem for theBenchmark
% 6.55/1.44  
% 6.55/1.44  % Proof 1 at 0.69 (+ 0.18) seconds.
% 6.55/1.44  % Length of proof is 19.
% 6.55/1.44  % Level of proof is 4.
% 6.55/1.44  % Maximum clause weight is 29.000.
% 6.55/1.44  % Given clauses 731.
% 6.55/1.44  
% 6.55/1.44  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------