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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+80 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/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 : Thu Sep 24 12:14:05 PM UTC 2026

% Result   : Theorem 87.82s 11.65s
% Output   : CNFRefutation 74.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   54 (  10 unt;   7 def)
%            Number of atoms       :  336 (   0 equ)
%            Maximal formula atoms :  175 (   6 avg)
%            Number of connectives :  375 (  93   ~;  73   |; 200   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  175 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   28 (  27 usr;   8 prp; 0-9 aty)
%            Number of functors    :   55 (  55 usr;  53 con; 0-2 aty)
%            Number of variables   :   91 (  74   !;  17   ?)

% 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,X6] :
      ( 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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( 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(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(baum_1_1,varia_c)
    & refer(baum_1_1,refer_c)
    & quant(baum_1_1,one)
    & gener(baum_1_1,ge)
    & fact(baum_1_1,real)
    & etype(baum_1_1,int0)
    & card(baum_1_1,int1)
    & sort(baum_1_1,d)
    & gener(kabeln_1_1,ge)
    & fact(kabeln_1_1,real)
    & sort(kabeln_1_1,dn)
    & varia(c36870,varia_c)
    & refer(c36870,refer_c)
    & quant(c36870,quant_c)
    & gener(c36870,gener_c)
    & fact(c36870,real)
    & etype(c36870,etype_c)
    & card(c36870,card_c)
    & sort(c36870,ent)
    & varia(timi_1_1,varia_c)
    & refer(timi_1_1,refer_c)
    & quant(timi_1_1,one)
    & gener(timi_1_1,ge)
    & fact(timi_1_1,real)
    & etype(timi_1_1,int0)
    & card(timi_1_1,int1)
    & sort(timi_1_1,o)
    & varia(c36719,varia_c)
    & refer(c36719,refer_c)
    & quant(c36719,one)
    & gener(c36719,gener_c)
    & fact(c36719,real)
    & etype(c36719,int0)
    & card(c36719,int1)
    & sort(c36719,o)
    & sort(audi_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(c36712,varia_c)
    & refer(c36712,indet)
    & quant(c36712,one)
    & gener(c36712,sp)
    & fact(c36712,real)
    & etype(c36712,int0)
    & card(c36712,int1)
    & sort(c36712,na)
    & varia(c36711,con)
    & refer(c36711,det)
    & quant(c36711,one)
    & gener(c36711,sp)
    & fact(c36711,real)
    & etype(c36711,int0)
    & card(c36711,int1)
    & sort(c36711,io)
    & sort(c36711,d)
    & varia(kabelbaum_1_1,varia_c)
    & refer(kabelbaum_1_1,refer_c)
    & quant(kabelbaum_1_1,one)
    & gener(kabelbaum_1_1,ge)
    & fact(kabelbaum_1_1,real)
    & etype(kabelbaum_1_1,int0)
    & card(kabelbaum_1_1,int1)
    & sort(kabelbaum_1_1,d)
    & varia(c36709,varia_c)
    & refer(c36709,indet)
    & quant(c36709,mult)
    & gener(c36709,gener_c)
    & fact(c36709,real)
    & etype(c36709,int1)
    & card(c36709,cons(x_constant,cons(int1,nil)))
    & sort(c36709,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)
    & varia(c36657,con)
    & refer(c36657,det)
    & quant(c36657,one)
    & gener(c36657,sp)
    & fact(c36657,real)
    & etype(c36657,int0)
    & card(c36657,int1)
    & sort(c36657,d)
    & varia(teil_1_1,varia_c)
    & refer(teil_1_1,refer_c)
    & quant(teil_1_1,quant_c)
    & gener(teil_1_1,ge)
    & fact(teil_1_1,real)
    & etype(teil_1_1,etype_c)
    & card(teil_1_1,card_c)
    & sort(teil_1_1,co)
    & varia(c36652,varia_c)
    & refer(c36652,indet)
    & quant(c36652,quant_c)
    & gener(c36652,sp)
    & fact(c36652,real)
    & etype(c36652,etype_c)
    & card(c36652,card_c)
    & sort(c36652,co)
    & sort(technisch__1_1,nq)
    & varia(gas__1_1,varia_c)
    & refer(gas__1_1,refer_c)
    & quant(gas__1_1,one)
    & gener(gas__1_1,ge)
    & fact(gas__1_1,real)
    & etype(gas__1_1,int0)
    & card(gas__1_1,int1)
    & sort(gas__1_1,s)
    & varia(c36646,varia_c)
    & refer(c36646,refer_c)
    & quant(c36646,mult)
    & gener(c36646,gener_c)
    & fact(c36646,real)
    & etype(c36646,int1)
    & card(c36646,cons(x_constant,cons(int1,nil)))
    & sort(c36646,s)
    & varia(linde_1_1,varia_c)
    & refer(linde_1_1,refer_c)
    & quant(linde_1_1,one)
    & gener(linde_1_1,ge)
    & fact(linde_1_1,real)
    & etype(linde_1_1,int0)
    & card(linde_1_1,int1)
    & sort(linde_1_1,d)
    & varia(c36633,varia_c)
    & refer(c36633,refer_c)
    & quant(c36633,one)
    & gener(c36633,gener_c)
    & fact(c36633,real)
    & etype(c36633,int0)
    & card(c36633,int1)
    & sort(c36633,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(c36629,con)
    & refer(c36629,det)
    & quant(c36629,one)
    & gener(c36629,sp)
    & fact(c36629,real)
    & etype(c36629,int0)
    & card(c36629,int1)
    & sort(c36629,io)
    & sort(c36629,d)
    & sub(kabelbaum_1_1,baum_1_1)
    & assoc(kabelbaum_1_1,kabeln_1_1)
    & tupl_p9(c36870,c36629,c36633,c36646,c36652,c36657,c36711,c36709,c36719)
    & sub(c36719,timi_1_1)
    & val(c36712,audi_0)
    & sub(c36712,name_1_1)
    & sub(c36711,firma_1_1)
    & attr(c36711,c36712)
    & pred(c36709,kabelbaum_1_1)
    & sub(c36657,bmw_1_1)
    & sub(c36652,teil_1_1)
    & prop(c36646,technisch__1_1)
    & pred(c36646,gas__1_1)
    & sub(c36633,linde_1_1)
    & sub(c36629,firma_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] :
      ( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X2,X0)
      | obj(sK51_skl(X2),X2)
      | ~ sub(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10700]) ).

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

fof(f20816,plain,
    ! [X2] :
      ( ~ sub(X2,name_1_1)
      | ! [X0] :
          ( ~ sub(X0,firma_1_1)
          | ! [X1] :
              ( ~ sub(X1,name_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(X3,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X6,X0)
      | ~ attr(X4,X5)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20825,plain,
    attr(c36711,c36712),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c36711,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    sub(c36712,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21028,definition,
    ! [X0,X1,X6] :
      ( sQ0_spl
    <=> ( ~ sub(X0,firma_1_1)
        | ~ sub(X1,name_1_1)
        | ~ obj(X6,X0)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21029,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ sub(X2,name_1_1)
      | ~ sub(X1,firma_1_1)
      | ~ attr(X1,X2)
      | ~ obj(X0,X1) ),
    inference(component_clause,[status(thm)],[f21028]) ).

fof(f21031,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ( ~ sub(X3,name_1_1)
        | ~ attr(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21032,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21031]) ).

fof(f21034,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21035,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21034]) ).

fof(f21037,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21028,f21031,f21034]) ).

fof(f21040,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20825,f21035]) ).

fof(f21041,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21040]) ).

fof(f21050,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c36712,name_1_1)
      | ~ sub(c36711,firma_1_1)
      | ~ obj(X0,c36711) ),
    inference(resolution,[status(thm)],[f20825,f21029]) ).

fof(f21051,definition,
    ! [X0] :
      ( sQ3_spl
    <=> ~ obj(X0,c36711) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21052,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ obj(X0,c36711) ),
    inference(component_clause,[status(thm)],[f21051]) ).

fof(f21054,definition,
    ( sQ4_spl
  <=> sub(c36711,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21056,plain,
    ( sQ4_spl
    | ~ sub(c36711,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21054]) ).

fof(f21057,definition,
    ( sQ5_spl
  <=> sub(c36712,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21059,plain,
    ( sQ5_spl
    | ~ sub(c36712,name_1_1) ),
    inference(component_clause,[status(thm)],[f21057]) ).

fof(f21060,plain,
    ( ~ sQ0_spl
    | ~ sQ5_spl
    | ~ sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f21050,f21051,f21054,f21057,f21028]) ).

fof(f21061,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21059,f20827]) ).

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

fof(f21063,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21056,f20826]) ).

fof(f21064,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21063]) ).

fof(f21066,plain,
    ( ~ sQ1_spl
    | ~ sub(c36712,name_1_1) ),
    inference(resolution,[status(thm)],[f21032,f20825]) ).

fof(f21067,plain,
    ( ~ sQ1_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f21066,f21057,f21031]) ).

fof(f21265,definition,
    ! [X0] :
      ( sQ11_spl
    <=> ( ~ sub(c36712,X0)
        | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f21266,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(c36712,X0) ),
    inference(component_clause,[status(thm)],[f21265]) ).

fof(f21283,plain,
    ( ~ sQ11_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21266,f20827]) ).

fof(f21284,plain,
    ( ~ sQ11_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21283,f10194]) ).

fof(f21287,plain,
    ( ~ sQ11_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21284,f10194]) ).

fof(f21288,plain,
    ( ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21287,f10191]) ).

fof(f21289,plain,
    ~ sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f21288]) ).

fof(f21368,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(X0,X1)
      | ~ attr(c36711,X0) ),
    inference(resolution,[status(thm)],[f10702,f21052]) ).

fof(f21369,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ sub(c36712,X0) ),
    inference(resolution,[status(thm)],[f21368,f20825]) ).

fof(f21370,plain,
    ( ~ sQ3_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f21369,f21265,f21051]) ).

fof(f21371,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21037,f21041,f21060,f21062,f21064,f21067,f21289,f21370]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+80 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n017.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 15:02:43 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.24/0.53  % Drodi V4.1.1
% 87.82/11.65  % Refutation found
% 87.82/11.65  % SZS status Theorem for theBenchmark: Theorem is valid
% 87.82/11.65  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.46/12.96  % Elapsed time: 12.359322 seconds
% 15.46/12.96  % CPU time: 85.851962 seconds
% 15.46/12.96  % Total memory used: 651.708 MB
% 15.46/12.96  % Net memory used: 604.622 MB
%------------------------------------------------------------------------------