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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+65 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.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 12:14:03 PM UTC 2026

% Result   : Theorem 74.87s 9.97s
% Output   : CNFRefutation 74.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   7 unt;   0 def)
%            Number of atoms       :  407 (   0 equ)
%            Maximal formula atoms :  328 (  15 avg)
%            Number of connectives :  422 (  42   ~;  31   |; 347   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  328 (  18 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-17 aty)
%            Number of functors    :   73 (  73 usr;  71 con; 0-2 aty)
%            Number of variables   :   82 (  65   !;  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(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( 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] :
        ( obj(X4,X0)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(zahl_1_1,varia_c)
    & refer(zahl_1_1,refer_c)
    & quant(zahl_1_1,one)
    & gener(zahl_1_1,ge)
    & fact(zahl_1_1,real)
    & etype(zahl_1_1,int0)
    & card(zahl_1_1,int1)
    & sort(zahl_1_1,oa)
    & sort(zahl_1_1,io)
    & varia(st__374ck_2_1,varia_c)
    & refer(st__374ck_2_1,refer_c)
    & quant(st__374ck_2_1,one)
    & gener(st__374ck_2_1,ge)
    & fact(st__374ck_2_1,real)
    & etype(st__374ck_2_1,int0)
    & card(st__374ck_2_1,int1)
    & sort(st__374ck_2_1,io)
    & sort(st__374ck_2_1,d)
    & varia(netz_1_1,varia_c)
    & refer(netz_1_1,refer_c)
    & quant(netz_1_1,one)
    & gener(netz_1_1,ge)
    & fact(netz_1_1,real)
    & etype(netz_1_1,int0)
    & card(netz_1_1,int1)
    & sort(netz_1_1,d)
    & varia(anbieter_1_1,varia_c)
    & refer(anbieter_1_1,refer_c)
    & quant(anbieter_1_1,one)
    & gener(anbieter_1_1,ge)
    & fact(anbieter_1_1,real)
    & etype(anbieter_1_1,int0)
    & card(anbieter_1_1,int1)
    & sort(anbieter_1_1,io)
    & sort(anbieter_1_1,d)
    & varia(spielart_1_1,varia_c)
    & refer(spielart_1_1,refer_c)
    & quant(spielart_1_1,one)
    & gener(spielart_1_1,ge)
    & fact(spielart_1_1,real)
    & etype(spielart_1_1,int0)
    & card(spielart_1_1,int1)
    & sort(spielart_1_1,re)
    & sort(spielart_1_1,io)
    & varia(c34978,varia_c)
    & refer(c34978,refer_c)
    & quant(c34978,quant_c)
    & gener(c34978,gener_c)
    & fact(c34978,real)
    & etype(c34978,etype_c)
    & card(c34978,card_c)
    & sort(c34978,ent)
    & varia(h__344ndlernetz_1_1,varia_c)
    & refer(h__344ndlernetz_1_1,refer_c)
    & quant(h__344ndlernetz_1_1,one)
    & gener(h__344ndlernetz_1_1,ge)
    & fact(h__344ndlernetz_1_1,real)
    & etype(h__344ndlernetz_1_1,int0)
    & card(h__344ndlernetz_1_1,int1)
    & sort(h__344ndlernetz_1_1,d)
    & varia(c34941,varia_c)
    & refer(c34941,refer_c)
    & quant(c34941,one)
    & gener(c34941,gener_c)
    & fact(c34941,real)
    & etype(c34941,int0)
    & card(c34941,int1)
    & sort(c34941,d)
    & varia(c34937,con)
    & refer(c34937,det)
    & quant(c34937,one)
    & gener(c34937,sp)
    & fact(c34937,real)
    & etype(c34937,int0)
    & card(c34937,int1)
    & sort(c34937,d)
    & sort(baur_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(c34926,varia_c)
    & refer(c34926,indet)
    & quant(c34926,one)
    & gener(c34926,sp)
    & fact(c34926,real)
    & etype(c34926,int0)
    & card(c34926,int1)
    & sort(c34926,na)
    & varia(c34925,con)
    & refer(c34925,det)
    & quant(c34925,one)
    & gener(c34925,sp)
    & fact(c34925,real)
    & etype(c34925,int0)
    & card(c34925,int1)
    & sort(c34925,d)
    & 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(c34920,con)
    & refer(c34920,det)
    & quant(c34920,one)
    & gener(c34920,sp)
    & fact(c34920,real)
    & etype(c34920,int0)
    & card(c34920,int1)
    & sort(c34920,io)
    & sort(c34920,d)
    & varia(st__374ckzahl_1_1,varia_c)
    & refer(st__374ckzahl_1_1,refer_c)
    & quant(st__374ckzahl_1_1,one)
    & gener(st__374ckzahl_1_1,ge)
    & fact(st__374ckzahl_1_1,real)
    & etype(st__374ckzahl_1_1,int0)
    & card(st__374ckzahl_1_1,int1)
    & sort(st__374ckzahl_1_1,oa)
    & sort(st__374ckzahl_1_1,io)
    & sort(klein_1_1,mq)
    & varia(c34914,varia_c)
    & refer(c34914,refer_c)
    & quant(c34914,one)
    & gener(c34914,gener_c)
    & fact(c34914,real)
    & etype(c34914,int0)
    & card(c34914,int1)
    & sort(c34914,oa)
    & sort(c34914,io)
    & varia(e30_1_1,varia_c)
    & refer(e30_1_1,refer_c)
    & quant(e30_1_1,one)
    & gener(e30_1_1,ge)
    & fact(e30_1_1,real)
    & etype(e30_1_1,int0)
    & card(e30_1_1,int1)
    & sort(e30_1_1,o)
    & varia(c34906,varia_c)
    & refer(c34906,indet)
    & quant(c34906,mult)
    & gener(c34906,gener_c)
    & fact(c34906,real)
    & etype(c34906,int1)
    & card(c34906,cons(x_constant,cons(int1,nil)))
    & sort(c34906,o)
    & 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(c34895,con)
    & refer(c34895,det)
    & quant(c34895,one)
    & gener(c34895,sp)
    & fact(c34895,real)
    & etype(c34895,int0)
    & card(c34895,int1)
    & sort(c34895,d)
    & varia(artefakt_1_1,varia_c)
    & refer(artefakt_1_1,refer_c)
    & quant(artefakt_1_1,one)
    & gener(artefakt_1_1,ge)
    & fact(artefakt_1_1,real)
    & etype(artefakt_1_1,int0)
    & card(artefakt_1_1,int1)
    & sort(artefakt_1_1,io)
    & sort(artefakt_1_1,d)
    & varia(c34888,varia_c)
    & refer(c34888,refer_c)
    & quant(c34888,one)
    & gener(c34888,gener_c)
    & fact(c34888,real)
    & etype(c34888,int0)
    & card(c34888,int1)
    & sort(c34888,io)
    & sort(c34888,d)
    & varia(cabriovariante_1_1,varia_c)
    & refer(cabriovariante_1_1,refer_c)
    & quant(cabriovariante_1_1,one)
    & gener(cabriovariante_1_1,ge)
    & fact(cabriovariante_1_1,real)
    & etype(cabriovariante_1_1,int0)
    & card(cabriovariante_1_1,int1)
    & sort(cabriovariante_1_1,re)
    & sort(cabriovariante_1_1,io)
    & varia(c34881,con)
    & refer(c34881,det)
    & quant(c34881,one)
    & gener(c34881,sp)
    & fact(c34881,real)
    & etype(c34881,int0)
    & card(c34881,int1)
    & sort(c34881,re)
    & sort(c34881,io)
    & varia(kombi__1_1,varia_c)
    & refer(kombi__1_1,refer_c)
    & quant(kombi__1_1,one)
    & gener(kombi__1_1,ge)
    & fact(kombi__1_1,real)
    & etype(kombi__1_1,int0)
    & card(kombi__1_1,int1)
    & sort(kombi__1_1,d)
    & varia(c34864,varia_c)
    & refer(c34864,refer_c)
    & quant(c34864,one)
    & gener(c34864,gener_c)
    & fact(c34864,real)
    & etype(c34864,int0)
    & card(c34864,int1)
    & sort(c34864,d)
    & varia(roadster_1_1,varia_c)
    & refer(roadster_1_1,refer_c)
    & quant(roadster_1_1,one)
    & gener(roadster_1_1,ge)
    & fact(roadster_1_1,real)
    & etype(roadster_1_1,int0)
    & card(roadster_1_1,int1)
    & sort(roadster_1_1,d)
    & varia(c34855,varia_c)
    & refer(c34855,refer_c)
    & quant(c34855,one)
    & gener(c34855,gener_c)
    & fact(c34855,real)
    & etype(c34855,int0)
    & card(c34855,int1)
    & sort(c34855,d)
    & varia(cabrio__1_1,varia_c)
    & refer(cabrio__1_1,refer_c)
    & quant(cabrio__1_1,one)
    & gener(cabrio__1_1,ge)
    & fact(cabrio__1_1,real)
    & etype(cabrio__1_1,int0)
    & card(cabrio__1_1,int1)
    & sort(cabrio__1_1,d)
    & varia(c34846,varia_c)
    & refer(c34846,refer_c)
    & quant(c34846,one)
    & gener(c34846,gener_c)
    & fact(c34846,real)
    & etype(c34846,int0)
    & card(c34846,int1)
    & sort(c34846,d)
    & varia(c34837,varia_c)
    & refer(c34837,refer_c)
    & quant(c34837,nfquant)
    & gener(c34837,gener_c)
    & fact(c34837,real)
    & etype(c34837,int1)
    & card(c34837,int4)
    & sort(c34837,d)
    & varia(einla__337_1_1,varia_c)
    & refer(einla__337_1_1,refer_c)
    & quant(einla__337_1_1,one)
    & gener(einla__337_1_1,ge)
    & fact(einla__337_1_1,real)
    & etype(einla__337_1_1,int0)
    & card(einla__337_1_1,int1)
    & sort(einla__337_1_1,d)
    & varia(c34823,varia_c)
    & refer(c34823,refer_c)
    & quant(c34823,nfquant)
    & gener(c34823,gener_c)
    & fact(c34823,real)
    & etype(c34823,int1)
    & card(c34823,int2)
    & sort(c34823,d)
    & varia(limousine_1_1,varia_c)
    & refer(limousine_1_1,refer_c)
    & quant(limousine_1_1,one)
    & gener(limousine_1_1,ge)
    & fact(limousine_1_1,real)
    & etype(limousine_1_1,int0)
    & card(limousine_1_1,int1)
    & sort(limousine_1_1,d)
    & varia(c34818,varia_c)
    & refer(c34818,refer_c)
    & quant(c34818,one)
    & gener(c34818,gener_c)
    & fact(c34818,real)
    & etype(c34818,int0)
    & card(c34818,int1)
    & sort(c34818,d)
    & sub(st__374ckzahl_1_1,zahl_1_1)
    & assoc(st__374ckzahl_1_1,st__374ck_2_1)
    & sub(h__344ndlernetz_1_1,netz_1_1)
    & assoc(h__344ndlernetz_1_1,anbieter_1_1)
    & sub(cabriovariante_1_1,spielart_1_1)
    & assoc(cabriovariante_1_1,cabrio__1_1)
    & tupl_p17(c34978,c34818,c34823,c34837,c34846,c34855,c34864,c34881,c34888,c34895,c34906,c34914,c34920,c34925,c34846,c34937,c34941)
    & sub(c34941,h__344ndlernetz_1_1)
    & sub(c34937,bmw_1_1)
    & val(c34926,baur_0)
    & sub(c34926,familiename_1_1)
    & sub(c34925,mensch_1_1)
    & attr(c34925,c34926)
    & sub(c34920,firma_1_1)
    & sub(c34914,st__374ckzahl_1_1)
    & prop(c34914,klein_1_1)
    & pred(c34906,e30_1_1)
    & sub(c34895,bmw_1_1)
    & sub(c34888,artefakt_1_1)
    & sub(c34881,cabriovariante_1_1)
    & sub(c34864,kombi__1_1)
    & sub(c34855,roadster_1_1)
    & sub(c34846,cabrio__1_1)
    & pred(c34837,einla__337_1_1)
    & pred(c34823,einla__337_1_1)
    & sub(c34818,limousine_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] :
      ( ~ attr(X0,X1)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X1,X2)
      | obj(sK51_skl(X0),X0) ),
    inference(cnf_transformation,[status(thm)],[f10700]) ).

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

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

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

fof(f20831,plain,
    attr(c34925,c34926),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    sub(c34926,familiename_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21181,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ obj(X4,X2)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(factoring,[status(thm)],[f20817]) ).

fof(f21239,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c34925)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f20831,f21181]) ).

fof(f21240,plain,
    ! [X0] : ~ obj(X0,c34925),
    inference(resolution,[status(thm)],[f21239,f20831]) ).

fof(f21241,plain,
    ! [X0,X1] :
      ( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X0,X1)
      | ~ attr(c34925,X0) ),
    inference(resolution,[status(thm)],[f21240,f10702]) ).

fof(f21250,plain,
    ! [X0] :
      ( ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(c34926,X0) ),
    inference(resolution,[status(thm)],[f21241,f20831]) ).

fof(f21260,plain,
    ! [X0] :
      ( ~ sub(c34926,X0)
      | ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21250,f10194]) ).

fof(f21264,plain,
    ~ sub(c34926,familiename_1_1),
    inference(resolution,[status(thm)],[f21260,f10191]) ).

fof(f21265,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21264,f20833]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+65 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n019.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 15:07:34 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.23/0.49  % Drodi V4.1.1
% 74.87/9.97  % Refutation found
% 74.87/9.97  % SZS status Theorem for theBenchmark: Theorem is valid
% 74.87/9.97  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 47.34/10.09  % Elapsed time: 9.714185 seconds
% 47.34/10.09  % CPU time: 75.556506 seconds
% 47.34/10.09  % Total memory used: 705.431 MB
% 47.34/10.09  % Net memory used: 642.796 MB
%------------------------------------------------------------------------------