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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR115+11 : 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 : n011.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 07:07:40 AM UTC 2026

% Result   : Theorem 2.98s 1.06s
% Output   : CNFRefutation 2.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   41 (  15 unt;   0 def)
%            Number of atoms       :  447 (   0 equ)
%            Maximal formula atoms :  275 (  10 avg)
%            Number of connectives :  514 ( 108   ~;  93   |; 310   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  275 (  12 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-7 aty)
%            Number of functors    :   70 (  70 usr;  68 con; 0-3 aty)
%            Number of variables   :  115 (  33 sgn  28   !;  18   ?)

% 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(has_card_eq,axiom,
    ! [X0,X1] :
      ( card(X0,X1)
     => has_card_leq(X0,X1) ),
    file('theBenchmark.p',has_card_eq) ).

fof(ave07_era5_synth_qa07_007_mira_news_1109,axiom,
    ( 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)
    & gener(wagen_2_1,ge)
    & fact(wagen_2_1,real)
    & sort(wagen_2_1,da)
    & varia(luxus__1_1,varia_c)
    & refer(luxus__1_1,refer_c)
    & quant(luxus__1_1,one)
    & gener(luxus__1_1,ge)
    & fact(luxus__1_1,real)
    & etype(luxus__1_1,int0)
    & card(luxus__1_1,int1)
    & sort(luxus__1_1,io)
    & varia(c20686,varia_c)
    & refer(c20686,refer_c)
    & quant(c20686,quant_c)
    & gener(c20686,gener_c)
    & fact(c20686,real)
    & etype(c20686,etype_c)
    & card(c20686,card_c)
    & sort(c20686,ent)
    & sort(neo_1_1,nq)
    & varia(motor__1_1,varia_c)
    & refer(motor__1_1,refer_c)
    & quant(motor__1_1,one)
    & gener(motor__1_1,ge)
    & fact(motor__1_1,real)
    & etype(motor__1_1,int0)
    & card(motor__1_1,int1)
    & sort(motor__1_1,d)
    & varia(entwicklung_1_1,varia_c)
    & refer(entwicklung_1_1,refer_c)
    & quant(entwicklung_1_1,one)
    & gener(entwicklung_1_1,ge)
    & fact(entwicklung_1_1,real)
    & etype(entwicklung_1_1,int0)
    & card(entwicklung_1_1,int1)
    & sort(entwicklung_1_1,ad)
    & varia(c20649,varia_c)
    & refer(c20649,indet)
    & quant(c20649,mult)
    & gener(c20649,sp)
    & fact(c20649,real)
    & etype(c20649,int1)
    & card(c20649,cons(x_constant,cons(int1,nil)))
    & sort(c20649,d)
    & varia(c20644,varia_c)
    & refer(c20644,det)
    & quant(c20644,one)
    & gener(c20644,sp)
    & fact(c20644,real)
    & etype(c20644,int0)
    & card(c20644,int1)
    & sort(c20644,ad)
    & varia(anlieferung_1_1,varia_c)
    & refer(anlieferung_1_1,refer_c)
    & quant(anlieferung_1_1,one)
    & gener(anlieferung_1_1,ge)
    & fact(anlieferung_1_1,real)
    & etype(anlieferung_1_1,int0)
    & card(anlieferung_1_1,int1)
    & sort(anlieferung_1_1,ad)
    & varia(c20640,con)
    & refer(c20640,det)
    & quant(c20640,one)
    & gener(c20640,sp)
    & fact(c20640,real)
    & etype(c20640,int0)
    & card(c20640,int1)
    & sort(c20640,ad)
    & varia(abkommen_1_1,varia_c)
    & refer(abkommen_1_1,refer_c)
    & quant(abkommen_1_1,one)
    & gener(abkommen_1_1,ge)
    & fact(abkommen_1_1,real)
    & etype(abkommen_1_1,int0)
    & card(abkommen_1_1,int1)
    & sort(abkommen_1_1,io)
    & sort(abkommen_1_1,d)
    & varia(c20630,varia_c)
    & refer(c20630,indet)
    & quant(c20630,one)
    & gener(c20630,sp)
    & fact(c20630,real)
    & etype(c20630,int0)
    & card(c20630,int1)
    & sort(c20630,io)
    & sort(c20630,d)
    & sort(royce_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(luxuswagenhersteller_1_1,varia_c)
    & refer(luxuswagenhersteller_1_1,refer_c)
    & quant(luxuswagenhersteller_1_1,one)
    & gener(luxuswagenhersteller_1_1,ge)
    & fact(luxuswagenhersteller_1_1,real)
    & etype(luxuswagenhersteller_1_1,int0)
    & card(luxuswagenhersteller_1_1,int1)
    & sort(luxuswagenhersteller_1_1,io)
    & sort(luxuswagenhersteller_1_1,d)
    & sort(britisch__1_1,nq)
    & varia(c20629,varia_c)
    & refer(c20629,indet)
    & quant(c20629,one)
    & gener(c20629,sp)
    & fact(c20629,real)
    & etype(c20629,int0)
    & card(c20629,int1)
    & sort(c20629,na)
    & varia(c20628,con)
    & refer(c20628,det)
    & quant(c20628,one)
    & gener(c20628,sp)
    & fact(c20628,real)
    & etype(c20628,int0)
    & card(c20628,int1)
    & sort(c20628,d)
    & sort(roll_0,fe)
    & varia(familiename_1_1,varia_c)
    & refer(familiename_1_1,refer_c)
    & quant(familiename_1_1,one)
    & gener(familiename_1_1,ge)
    & fact(familiename_1_1,real)
    & etype(familiename_1_1,int0)
    & card(familiename_1_1,int1)
    & sort(familiename_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(c20624,varia_c)
    & refer(c20624,indet)
    & quant(c20624,one)
    & gener(c20624,sp)
    & fact(c20624,real)
    & etype(c20624,int0)
    & card(c20624,int1)
    & sort(c20624,na)
    & varia(c20623,con)
    & refer(c20623,det)
    & quant(c20623,one)
    & gener(c20623,sp)
    & fact(c20623,real)
    & etype(c20623,int0)
    & card(c20623,int1)
    & sort(c20623,d)
    & sort(bmw_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(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(c20611,varia_c)
    & refer(c20611,indet)
    & quant(c20611,one)
    & gener(c20611,sp)
    & fact(c20611,real)
    & etype(c20611,int0)
    & card(c20611,int1)
    & sort(c20611,na)
    & varia(c20610,con)
    & refer(c20610,det)
    & quant(c20610,one)
    & gener(c20610,sp)
    & fact(c20610,real)
    & etype(c20610,int0)
    & card(c20610,int1)
    & sort(c20610,io)
    & sort(c20610,d)
    & card(c20306,int1994)
    & sort(c20306,nu)
    & varia(jahr__1_1,varia_c)
    & refer(jahr__1_1,refer_c)
    & quant(jahr__1_1,quant_c)
    & gener(jahr__1_1,ge)
    & fact(jahr__1_1,real)
    & etype(jahr__1_1,etype_c)
    & card(jahr__1_1,card_c)
    & sort(jahr__1_1,ta)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,me)
    & varia(c20313,varia_c)
    & refer(c20313,refer_c)
    & quant(c20313,quant_c)
    & gener(c20313,sp)
    & fact(c20313,real)
    & etype(c20313,etype_c)
    & card(c20313,card_c)
    & sort(c20313,ta)
    & sort(c20313,oa)
    & sort(c20313,me)
    & varia(c20312,con)
    & refer(c20312,det)
    & quant(c20312,one)
    & gener(c20312,sp)
    & fact(c20312,real)
    & etype(c20312,int0)
    & card(c20312,int1)
    & sort(c20312,t)
    & varia(abschlu__337_1_1,varia_c)
    & refer(abschlu__337_1_1,refer_c)
    & quant(abschlu__337_1_1,one)
    & gener(abschlu__337_1_1,ge)
    & fact(abschlu__337_1_1,real)
    & etype(abschlu__337_1_1,int0)
    & card(abschlu__337_1_1,int1)
    & sort(abschlu__337_1_1,io)
    & sort(abschlu__337_1_1,ad)
    & varia(c20305,varia_c)
    & refer(c20305,refer_c)
    & quant(c20305,one)
    & gener(c20305,gener_c)
    & fact(c20305,real)
    & etype(c20305,int0)
    & card(c20305,int1)
    & sort(c20305,io)
    & sort(c20305,ad)
    & sub(luxuswagenhersteller_1_1,fabrikant_1_1)
    & assoc(luxuswagenhersteller_1_1,wagen_2_1)
    & assoc(luxuswagenhersteller_1_1,luxus__1_1)
    & tupl_p7(c20686,c20312,c20610,c20628,c20630,c20640,c20644)
    & prop(c20649,neo_1_1)
    & pred(c20649,motor__1_1)
    & subs(c20644,entwicklung_1_1)
    & rslt(c20644,c20649)
    & subs(c20640,anlieferung_1_1)
    & sub(c20630,abkommen_1_1)
    & val(c20629,royce_0)
    & sub(c20629,eigenname_1_1)
    & sub(c20628,luxuswagenhersteller_1_1)
    & prop(c20628,britisch__1_1)
    & cmpl1(c20628,c20623)
    & attr(c20628,c20629)
    & val(c20624,roll_0)
    & sub(c20624,familiename_1_1)
    & sub(c20623,mensch_1_1)
    & attr(c20623,c20624)
    & val(c20611,bmw_0)
    & sub(c20611,name_1_1)
    & sub(c20610,firma_1_1)
    & attr(c20610,c20611)
    & val(c20313,c20306)
    & sub(c20313,jahr__1_1)
    & attr(c20312,c20313)
    & assoc(c20312,c20305)
    & sub(c20305,abschlu__337_1_1) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1109) ).

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_1109,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( val(X6,X7)
      & val(X2,bmw_0)
      & val(X1,bmw_0)
      & sub(X6,jahr__1_1)
      & sub(X2,name_1_1)
      & sub(X0,firma_1_1)
      & sub(X1,name_1_1)
      & obj(X4,X0)
      & has_card_leq(X7,int1994)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('theBenchmark.p',synth_qa07_007_mira_news_1109) ).

fof(synth_qa07_007_mira_news_1109_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( val(X6,X7)
        & val(X2,bmw_0)
        & val(X1,bmw_0)
        & sub(X6,jahr__1_1)
        & sub(X2,name_1_1)
        & sub(X0,firma_1_1)
        & sub(X1,name_1_1)
        & obj(X4,X0)
        & has_card_leq(X7,int1994)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1109]) ).

fof(nnf_63,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_63]) ).

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_120,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_154,plain,
    member(A,cons(A,B)),
    inference(clausify,[status(thm)],[member_first]) ).

cnf(c_155,plain,
    ( member(A,cons(C,B))
    | ~ member(A,B) ),
    inference(clausify,[status(thm)],[member_second]) ).

cnf(c_170,plain,
    ( has_card_leq(A,B)
    | ~ card(A,B) ),
    inference(clausify,[status(thm)],[has_card_eq]) ).

cnf(c_258,plain,
    attr(c20312,c20313),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1109]) ).

cnf(c_259,plain,
    sub(c20313,jahr__1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1109]) ).

cnf(c_260,plain,
    val(c20313,c20306),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1109]) ).

cnf(c_261,plain,
    attr(c20610,c20611),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1109]) ).

cnf(c_262,plain,
    sub(c20610,firma_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1109]) ).

cnf(c_263,plain,
    sub(c20611,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1109]) ).

cnf(c_264,plain,
    val(c20611,bmw_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1109]) ).

cnf(c_332,plain,
    card(c20306,int1994),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1109]) ).

cnf(c_531,negated_conjecture,
    ( ~ val(F,V6)
    | ~ val(D,bmw_0)
    | ~ val(B,bmw_0)
    | ~ sub(F,jahr__1_1)
    | ~ sub(D,name_1_1)
    | ~ sub(A,firma_1_1)
    | ~ sub(B,name_1_1)
    | ~ obj(V7,A)
    | ~ has_card_leq(V6,int1994)
    | ~ attr(E,F)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1109_neg]) ).

cnf(c_532,plain,
    member(A,cons(B,cons(A,C))),
    inference(resolve,[status(thm)],[c_155,c_154]) ).

cnf(c_3069,negated_conjecture,
    ( ~ val(D,E)
    | ~ val(B,bmw_0)
    | ~ val(c20611,bmw_0)
    | ~ sub(D,jahr__1_1)
    | ~ sub(B,name_1_1)
    | ~ sub(c20610,firma_1_1)
    | ~ sub(c20611,name_1_1)
    | ~ obj(F,c20610)
    | ~ has_card_leq(E,int1994)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_261,c_531]) ).

cnf(c_3070,negated_conjecture,
    ( ~ val(D,E)
    | ~ val(B,bmw_0)
    | ~ val(c20611,bmw_0)
    | ~ sub(D,jahr__1_1)
    | ~ sub(B,name_1_1)
    | ~ sub(c20610,firma_1_1)
    | ~ obj(F,c20610)
    | ~ has_card_leq(E,int1994)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_263,c_3069]) ).

cnf(c_3071,negated_conjecture,
    ( ~ val(D,E)
    | ~ val(B,bmw_0)
    | ~ val(c20611,bmw_0)
    | ~ sub(D,jahr__1_1)
    | ~ sub(B,name_1_1)
    | ~ obj(F,c20610)
    | ~ has_card_leq(E,int1994)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_262,c_3070]) ).

cnf(c_534,negated_conjecture,
    ( ~ val(D,E)
    | ~ val(B,bmw_0)
    | ~ sub(D,jahr__1_1)
    | ~ sub(B,name_1_1)
    | ~ obj(F,c20610)
    | ~ has_card_leq(E,int1994)
    | ~ attr(C,D)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_264,c_3071]) ).

cnf(c_3072,plain,
    ( ~ val(B,C)
    | ~ val(c20611,bmw_0)
    | ~ sub(B,jahr__1_1)
    | ~ sub(c20611,name_1_1)
    | ~ obj(D,c20610)
    | ~ has_card_leq(C,int1994)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_534,c_261]) ).

cnf(c_3073,plain,
    ( ~ val(B,C)
    | ~ val(c20611,bmw_0)
    | ~ sub(B,jahr__1_1)
    | ~ obj(D,c20610)
    | ~ has_card_leq(C,int1994)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_263,c_3072]) ).

cnf(c_535,plain,
    ( ~ val(B,C)
    | ~ sub(B,jahr__1_1)
    | ~ obj(D,c20610)
    | ~ has_card_leq(C,int1994)
    | ~ attr(A,B) ),
    inference(resolve,[status(thm)],[c_264,c_3073]) ).

cnf(c_3074,plain,
    ( ~ val(c20313,A)
    | ~ sub(c20313,jahr__1_1)
    | ~ obj(B,c20610)
    | ~ has_card_leq(A,int1994) ),
    inference(resolve,[status(thm)],[c_535,c_258]) ).

cnf(c_542,plain,
    ( ~ val(c20313,A)
    | ~ obj(B,c20610)
    | ~ has_card_leq(A,int1994) ),
    inference(resolve,[status(thm)],[c_259,c_3074]) ).

cnf(c_560,plain,
    ( ~ obj(A,c20610)
    | ~ has_card_leq(c20306,int1994) ),
    inference(resolve,[status(thm)],[c_542,c_260]) ).

cnf(c_3075,plain,
    ( ~ card(c20306,int1994)
    | ~ obj(A,c20610) ),
    inference(resolve,[status(thm)],[c_560,c_170]) ).

cnf(c_561,plain,
    ~ obj(A,c20610),
    inference(resolve,[status(thm)],[c_332,c_3075]) ).

cnf(c_3076,plain,
    ( obj(sK0(c20611,A,c20610),c20610)
    | ~ sub(c20611,A)
    | ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_120,c_261]) ).

cnf(c_3077,plain,
    ( obj(sK0(c20611,name_1_1,c20610),c20610)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolve,[status(thm)],[c_3076,c_263]) ).

cnf(c_595,plain,
    ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
    inference(resolve,[status(thm)],[c_3077,c_561]) ).

cnf(c_3067,plain,
    member(A,cons(B,cons(C,cons(A,D)))),
    inference(resolve,[status(thm)],[c_155,c_532]) ).

cnf(c_3068,plain,
    $false,
    inference(resolve,[status(thm)],[c_3067,c_595]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+11 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43  % Computer : n011.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Sun Sep 27 01:06:44 UTC 2026
% 0.16/0.44  % CPUTime  : 
% 0.16/0.44  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.44  % Process 1912991 was started by sandbox on n011,
% 0.16/0.44  % Sun Sep 27 01:06:44 2026
% 0.16/0.44  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 2.98/1.06  
% 2.98/1.06  % SInE (scan): 90 to sos (tol 1.5x), 27 to usable (tol 2.0x), 10071 zapped, of 10188 axioms (depth 3).
% 2.98/1.06  
% 2.98/1.06  % From the command line: assign(max_seconds, 300).
% 2.98/1.06  
% 2.98/1.06  % given #500 (F,wt=11): 1087 -sub(c20611,c20628) | -sub(fabrikant_1_1,A) | -sub(A,eigenname_1_1).  [resolve(1070,a,196,c)].
% 2.98/1.06  
% 2.98/1.06  % SZS status Theorem for theBenchmark
% 2.98/1.06  
% 2.98/1.06  % Proof 1 at 0.35 (+ 0.10) seconds.
% 2.98/1.06  % Length of proof is 28.
% 2.98/1.06  % Level of proof is 8.
% 2.98/1.06  % Maximum clause weight is 38.000.
% 2.98/1.06  % Given clauses 572.
% 2.98/1.06  
% 2.98/1.06  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------