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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+45 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 12:14:00 PM UTC 2026

% Result   : Theorem 16.61s 2.79s
% Output   : CNFRefutation 17.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   55 (  11 unt;   7 def)
%            Number of atoms       :  323 (   0 equ)
%            Maximal formula atoms :  171 (   5 avg)
%            Number of connectives :  352 (  84   ~;  65   |; 194   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  171 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   30 (  29 usr;   8 prp; 0-3 aty)
%            Number of functors    :   53 (  53 usr;  51 con; 0-2 aty)
%            Number of variables   :   83 (  68   !;  15   ?)

% 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(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/sandbox2/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5] :
      ( val(X1,bmw_0)
      & sub(X1,name_1_1)
      & sub(X0,firma_1_1)
      & obj(X3,X0)
      & attr(X4,X5)
      & attr(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5] :
        ( val(X1,bmw_0)
        & sub(X1,name_1_1)
        & sub(X0,firma_1_1)
        & obj(X3,X0)
        & attr(X4,X5)
        & attr(X2,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( 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(masse_1_1,varia_c)
    & refer(masse_1_1,refer_c)
    & quant(masse_1_1,quant_c)
    & gener(masse_1_1,ge)
    & fact(masse_1_1,real)
    & etype(masse_1_1,int1)
    & card(masse_1_1,card_c)
    & sort(masse_1_1,io)
    & gener(herstellen_1_1,ge)
    & fact(herstellen_1_1,real)
    & sort(herstellen_1_1,da)
    & gener(c907,sp)
    & fact(c907,real)
    & sort(c907,da)
    & varia(massenhersteller_1_1,varia_c)
    & refer(massenhersteller_1_1,refer_c)
    & quant(massenhersteller_1_1,one)
    & gener(massenhersteller_1_1,ge)
    & fact(massenhersteller_1_1,real)
    & etype(massenhersteller_1_1,int0)
    & card(massenhersteller_1_1,int1)
    & sort(massenhersteller_1_1,io)
    & sort(massenhersteller_1_1,d)
    & card(letzt_1_1,card_c)
    & sort(letzt_1_1,oq)
    & varia(c904,varia_c)
    & refer(c904,refer_c)
    & quant(c904,one)
    & gener(c904,ge)
    & fact(c904,real)
    & etype(c904,int0)
    & card(c904,int1)
    & sort(c904,io)
    & sort(c904,d)
    & sort(unabh__344ngig_1_1,nq)
    & sort(britisch__1_1,nq)
    & sort(rover_0,fe)
    & varia(c894,varia_c)
    & refer(c894,indet)
    & quant(c894,one)
    & gener(c894,sp)
    & fact(c894,real)
    & etype(c894,int0)
    & card(c894,int1)
    & sort(c894,na)
    & varia(sommer__1_1,varia_c)
    & refer(sommer__1_1,refer_c)
    & quant(sommer__1_1,one)
    & gener(sommer__1_1,ge)
    & fact(sommer__1_1,real)
    & etype(sommer__1_1,int0)
    & card(sommer__1_1,int1)
    & sort(sommer__1_1,ta)
    & sort(pass__351_1_1,tq)
    & 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(c859,varia_c)
    & refer(c859,indet)
    & quant(c859,one)
    & gener(c859,sp)
    & fact(c859,real)
    & etype(c859,int0)
    & card(c859,int1)
    & sort(c859,na)
    & varia(c865,con)
    & refer(c865,det)
    & quant(c865,one)
    & gener(c865,sp)
    & fact(c865,real)
    & etype(c865,int0)
    & card(c865,int1)
    & sort(c865,ta)
    & gener(nehmen_1_7,ge)
    & fact(nehmen_1_7,real)
    & sort(nehmen_1_7,da)
    & varia(c902,con)
    & refer(c902,det)
    & quant(c902,one)
    & gener(c902,sp)
    & fact(c902,real)
    & etype(c902,int0)
    & card(c902,int1)
    & sort(c902,io)
    & varia(c858,con)
    & refer(c858,det)
    & quant(c858,one)
    & gener(c858,sp)
    & fact(c858,real)
    & etype(c858,int0)
    & card(c858,int1)
    & sort(c858,io)
    & sort(c858,d)
    & varia(c893,con)
    & refer(c893,det)
    & quant(c893,one)
    & gener(c893,sp)
    & fact(c893,real)
    & etype(c893,int0)
    & card(c893,int1)
    & sort(c893,io)
    & sort(c893,d)
    & gener(c484,sp)
    & fact(c484,real)
    & sort(c484,da)
    & 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(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(autofirma_1_1,varia_c)
    & refer(autofirma_1_1,refer_c)
    & quant(autofirma_1_1,one)
    & gener(autofirma_1_1,ge)
    & fact(autofirma_1_1,real)
    & etype(autofirma_1_1,int0)
    & card(autofirma_1_1,int1)
    & sort(autofirma_1_1,io)
    & sort(autofirma_1_1,d)
    & sub(massenhersteller_1_1,fabrikant_1_1)
    & assoc(massenhersteller_1_1,masse_1_1)
    & subs(c907,herstellen_1_1)
    & agt(c907,c902)
    & pmod(c904,letzt_1_1,massenhersteller_1_1)
    & sub(c902,c904)
    & prop(c902,unabh__344ngig_1_1)
    & prop(c902,britisch__1_1)
    & val(c894,rover_0)
    & sub(c894,name_1_1)
    & sub(c893,autofirma_1_1)
    & attr(c893,c894)
    & sub(c865,sommer__1_1)
    & prop(c865,pass__351_1_1)
    & val(c859,bmw_0)
    & sub(c859,name_1_1)
    & sub(c858,firma_1_1)
    & attr(c858,c859)
    & temp(c484,c865)
    & subs(c484,nehmen_1_7)
    & obj(c484,c902)
    & benf(c484,c858)
    & agt(c484,c893)
    & sub(autofirma_1_1,firma_1_1)
    & assoc(autofirma_1_1,auto__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(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] :
      ( obj(sK51_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)],[f10700]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ obj(X3,X0)
      | ~ attr(X4,X5)
      | ~ attr(X2,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ! [X0] :
          ( ~ sub(X0,firma_1_1)
          | ! [X3] : ~ obj(X3,X0)
          | ! [X4,X5] : ~ attr(X4,X5)
          | ! [X2] : ~ attr(X2,X1) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ sub(X5,firma_1_1)
      | ~ obj(X4,X5)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20825,plain,
    attr(c858,c859),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c858,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    sub(c859,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    val(c859,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21024,definition,
    ! [X0,X1] :
      ( sQ0_spl
    <=> ( ~ val(X1,bmw_0)
        | ~ sub(X1,name_1_1)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21025,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21024]) ).

fof(f21027,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ~ attr(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21028,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21027]) ).

fof(f21030,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ( ~ sub(X5,firma_1_1)
        | ~ obj(X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21031,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ sub(X1,firma_1_1)
      | ~ obj(X0,X1) ),
    inference(component_clause,[status(thm)],[f21030]) ).

fof(f21033,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21024,f21027,f21030]) ).

fof(f21035,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ obj(X0,c858) ),
    inference(resolution,[status(thm)],[f20826,f21031]) ).

fof(f21039,plain,
    ! [X0] :
      ( obj(sK51_skl(c858),c858)
      | ~ sub(c859,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f10702,f20825]) ).

fof(f21040,definition,
    ! [X0] :
      ( sQ3_spl
    <=> ( ~ sub(c859,X0)
        | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21041,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ sub(c859,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(component_clause,[status(thm)],[f21040]) ).

fof(f21043,definition,
    ( sQ4_spl
  <=> obj(sK51_skl(c858),c858) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21044,plain,
    ( ~ sQ4_spl
    | obj(sK51_skl(c858),c858) ),
    inference(component_clause,[status(thm)],[f21043]) ).

fof(f21046,plain,
    ( sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f21039,f21040,f21043]) ).

fof(f21047,plain,
    ( ~ sQ4_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21044,f21035]) ).

fof(f21048,plain,
    ( ~ sQ4_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f21047]) ).

fof(f21049,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c859,name_1_1)
      | ~ attr(X0,c859) ),
    inference(resolution,[status(thm)],[f21025,f20828]) ).

fof(f21050,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c859) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21051,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c859) ),
    inference(component_clause,[status(thm)],[f21050]) ).

fof(f21053,definition,
    ( sQ6_spl
  <=> sub(c859,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21055,plain,
    ( sQ6_spl
    | ~ sub(c859,name_1_1) ),
    inference(component_clause,[status(thm)],[f21053]) ).

fof(f21056,plain,
    ( ~ sQ0_spl
    | ~ sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21049,f21050,f21053,f21024]) ).

fof(f21057,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21055,f20827]) ).

fof(f21058,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21057]) ).

fof(f21059,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20825,f21028]) ).

fof(f21060,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21059]) ).

fof(f21061,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20825,f21051]) ).

fof(f21062,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21061]) ).

fof(f21063,plain,
    ( ~ sQ3_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21041,f20827]) ).

fof(f21065,plain,
    ( ~ sQ3_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21063,f10194]) ).

fof(f21088,plain,
    ( ~ sQ3_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21065,f10194]) ).

fof(f21089,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21088,f10191]) ).

fof(f21090,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21089]) ).

fof(f21091,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21033,f21046,f21048,f21056,f21058,f21060,f21062,f21090]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+45 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n015.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 15:10:06 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.24/0.58  % Drodi V4.1.1
% 16.61/2.79  % Refutation found
% 16.61/2.79  % SZS status Theorem for theBenchmark: Theorem is valid
% 16.61/2.79  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.30/2.88  % Elapsed time: 2.506974 seconds
% 17.30/2.88  % CPU time: 17.534549 seconds
% 17.30/2.88  % Total memory used: 490.027 MB
% 17.30/2.88  % Net memory used: 482.778 MB
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