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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+19 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 12:13:56 PM UTC 2026

% Result   : Theorem 69.01s 9.26s
% Output   : CNFRefutation 63.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :  379 (   0 equ)
%            Maximal formula atoms :  278 (  12 avg)
%            Number of connectives :  404 (  56   ~;  43   |; 303   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  278 (  15 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-6 aty)
%            Number of functors    :   71 (  71 usr;  69 con; 0-2 aty)
%            Number of variables   :   84 (  67   !;  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] :
      ( 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)
    & card(c81,int1994)
    & sort(c81,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(c84,varia_c)
    & refer(c84,refer_c)
    & quant(c84,quant_c)
    & gener(c84,sp)
    & fact(c84,real)
    & etype(c84,etype_c)
    & card(c84,card_c)
    & sort(c84,ta)
    & sort(c84,oa)
    & sort(c84,me)
    & varia(firmengruppe_1_1,varia_c)
    & refer(firmengruppe_1_1,refer_c)
    & quant(firmengruppe_1_1,one)
    & gener(firmengruppe_1_1,ge)
    & fact(firmengruppe_1_1,real)
    & etype(firmengruppe_1_1,int0)
    & card(firmengruppe_1_1,int1)
    & sort(firmengruppe_1_1,io)
    & sort(firmengruppe_1_1,d)
    & 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)
    & sort(bundesdeutsch_1_1,tq)
    & varia(c83,con)
    & refer(c83,det)
    & quant(c83,one)
    & gener(c83,sp)
    & fact(c83,real)
    & etype(c83,int0)
    & card(c83,int1)
    & sort(c83,t)
    & varia(c74,varia_c)
    & refer(c74,refer_c)
    & quant(c74,one)
    & gener(c74,gener_c)
    & fact(c74,real)
    & etype(c74,int0)
    & card(c74,int1)
    & sort(c74,io)
    & sort(c74,d)
    & varia(c70,con)
    & refer(c70,det)
    & quant(c70,one)
    & gener(c70,sp)
    & fact(c70,real)
    & etype(c70,int0)
    & card(c70,int1)
    & sort(c70,d)
    & varia(c262,varia_c)
    & refer(c262,refer_c)
    & quant(c262,quant_c)
    & gener(c262,gener_c)
    & fact(c262,real)
    & etype(c262,etype_c)
    & card(c262,card_c)
    & sort(c262,ent)
    & varia(c20,varia_c)
    & refer(c20,refer_c)
    & quant(c20,quant_c)
    & gener(c20,gener_c)
    & fact(c20,real)
    & etype(c20,etype_c)
    & card(c20,card_c)
    & sort(c20,ent)
    & card(c16,int1)
    & sort(c16,nu)
    & varia(monat_1_1,varia_c)
    & refer(monat_1_1,refer_c)
    & quant(monat_1_1,quant_c)
    & gener(monat_1_1,ge)
    & fact(monat_1_1,real)
    & etype(monat_1_1,etype_c)
    & card(monat_1_1,card_c)
    & sort(monat_1_1,ta)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,me)
    & card(c15,int31)
    & sort(c15,nu)
    & varia(tag_1_1,varia_c)
    & refer(tag_1_1,refer_c)
    & quant(tag_1_1,quant_c)
    & gener(tag_1_1,ge)
    & fact(tag_1_1,real)
    & etype(tag_1_1,etype_c)
    & card(tag_1_1,card_c)
    & sort(tag_1_1,ta)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,me)
    & varia(c19,varia_c)
    & refer(c19,refer_c)
    & quant(c19,quant_c)
    & gener(c19,sp)
    & fact(c19,real)
    & etype(c19,etype_c)
    & card(c19,card_c)
    & sort(c19,ta)
    & sort(c19,oa)
    & sort(c19,me)
    & varia(c18,varia_c)
    & refer(c18,refer_c)
    & quant(c18,quant_c)
    & gener(c18,sp)
    & fact(c18,real)
    & etype(c18,etype_c)
    & card(c18,card_c)
    & sort(c18,ta)
    & sort(c18,oa)
    & sort(c18,me)
    & varia(c17,con)
    & refer(c17,det)
    & quant(c17,one)
    & gener(c17,sp)
    & fact(c17,real)
    & etype(c17,int0)
    & card(c17,int1)
    & sort(c17,t)
    & 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(c137,varia_c)
    & refer(c137,indet)
    & quant(c137,one)
    & gener(c137,sp)
    & fact(c137,real)
    & etype(c137,int0)
    & card(c137,int1)
    & sort(c137,oa)
    & sort(c137,io)
    & sort(rover_0,fe)
    & sort(britisch__1_1,nq)
    & varia(c132,varia_c)
    & refer(c132,indet)
    & quant(c132,one)
    & gener(c132,sp)
    & fact(c132,real)
    & etype(c132,int0)
    & card(c132,int1)
    & sort(c132,na)
    & varia(c131,con)
    & refer(c131,det)
    & quant(c131,one)
    & gener(c131,sp)
    & fact(c131,real)
    & etype(c131,int0)
    & card(c131,int1)
    & sort(c131,io)
    & sort(c131,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(c12,varia_c)
    & refer(c12,indet)
    & quant(c12,one)
    & gener(c12,sp)
    & fact(c12,real)
    & etype(c12,int0)
    & card(c12,int1)
    & sort(c12,na)
    & varia(c11,con)
    & refer(c11,det)
    & quant(c11,one)
    & gener(c11,sp)
    & fact(c11,real)
    & etype(c11,int0)
    & card(c11,int1)
    & sort(c11,io)
    & sort(c11,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)
    & varia(auto__1_1,varia_c)
    & refer(auto__1_1,refer_c)
    & quant(auto__1_1,one)
    & gener(auto__1_1,ge)
    & fact(auto__1_1,real)
    & etype(auto__1_1,int0)
    & card(auto__1_1,int1)
    & sort(auto__1_1,d)
    & 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)
    & val(c84,c81)
    & sub(c84,jahr__1_1)
    & attr(c83,c84)
    & sub(c74,firmengruppe_1_1)
    & sub(c70,bmw_1_1)
    & prop(c70,bundesdeutsch_1_1)
    & tupl_p6(c262,c70,c74,c83,c131,c137)
    & tupl(c20,c11,c17)
    & val(c19,c16)
    & sub(c19,monat_1_1)
    & val(c18,c15)
    & sub(c18,tag_1_1)
    & attr(c17,c19)
    & attr(c17,c18)
    & sub(c137,gr__366ssenordnung_1_1)
    & prop(c137,neo_1_1)
    & val(c132,rover_0)
    & sub(c132,name_1_1)
    & sub(c131,autobauer_1_1)
    & prop(c131,britisch__1_1)
    & attr(c131,c132)
    & val(c12,m__374nchen_0)
    & sub(c12,name_1_1)
    & sub(c11,stadt__1_1)
    & attr(c11,c12)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,auto__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,cons(X2,X1))
      | ~ member(X0,X1) ),
    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] :
      ( ~ sub(X2,X1)
      | ~ attr(X0,X2)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | obj(sK51_skl(X0),X0) ),
    inference(cnf_transformation,[status(thm)],[f10700]) ).

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

fof(f20820,plain,
    attr(c11,c12),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    attr(c131,c132),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    prop(c131,britisch__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    sub(c132,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21172,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ attr(X0,c132)
      | ~ obj(X4,X0)
      | ~ attr(X3,c132)
      | ~ attr(X1,X2)
      | ~ prop(X0,britisch__1_1) ),
    inference(resolution,[status(thm)],[f20827,f20817]) ).

fof(f21178,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c131)
      | ~ attr(X0,X1)
      | ~ prop(c131,britisch__1_1) ),
    inference(resolution,[status(thm)],[f21172,f20824]) ).

fof(f21182,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c131)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21178,f20825]) ).

fof(f21185,plain,
    ! [X0] : ~ obj(X0,c131),
    inference(resolution,[status(thm)],[f21182,f20820]) ).

fof(f21193,plain,
    ! [X0,X1] :
      ( ~ attr(c131,X0)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X0,X1) ),
    inference(resolution,[status(thm)],[f21185,f10702]) ).

fof(f21202,plain,
    ! [X0] :
      ( ~ sub(c132,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21193,f20824]) ).

fof(f21231,plain,
    ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
    inference(resolution,[status(thm)],[f21202,f20827]) ).

fof(f21237,plain,
    ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
    inference(resolution,[status(thm)],[f21231,f10194]) ).

fof(f21238,plain,
    ~ member(name_1_1,cons(name_1_1,nil)),
    inference(resolution,[status(thm)],[f21237,f10194]) ).

fof(f21239,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21238,f10191]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+19 : 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 : n006.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 15:05:57 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.23/0.49  % Drodi V4.1.1
% 69.01/9.26  % Refutation found
% 69.01/9.26  % SZS status Theorem for theBenchmark: Theorem is valid
% 69.01/9.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.70/9.51  % Elapsed time: 9.141676 seconds
% 4.70/9.51  % CPU time: 69.948248 seconds
% 4.70/9.51  % Total memory used: 589.314 MB
% 4.70/9.51  % Net memory used: 561.043 MB
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