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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+58 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.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 12:14:02 PM UTC 2026

% Result   : Theorem 119.53s 16.34s
% Output   : CNFRefutation 124.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :  318 (   0 equ)
%            Maximal formula atoms :  218 (  10 avg)
%            Number of connectives :  348 (  61   ~;  48   |; 237   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  218 (  13 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-7 aty)
%            Number of functors    :   53 (  53 usr;  51 con; 0-2 aty)
%            Number of variables   :   89 (  69   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,axiom,
    ! [X0,X1,X2] :
      ( ( subs(X0,X2)
        & chea(X2,X1) )
     => ? [X3] :
          ( subs(X3,X1)
          & chea(X0,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,axiom,
    ! [X0,X1,X2] :
      ( ( subs(X0,X1)
        & chea(X2,X1) )
     => ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8535,axiom,
    chea(n374bernehmen_1_1,annahme_1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( subs(X4,n374bernehmen_1_1)
      & sub(X2,name_1_1)
      & sub(X1,name_1_1)
      & 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] :
        ( subs(X4,n374bernehmen_1_1)
        & sub(X2,name_1_1)
        & sub(X1,name_1_1)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(c2161,varia_c)
    & refer(c2161,refer_c)
    & quant(c2161,quant_c)
    & gener(c2161,gener_c)
    & fact(c2161,real)
    & etype(c2161,etype_c)
    & card(c2161,card_c)
    & sort(c2161,ent)
    & varia(get__366se_1_1,varia_c)
    & refer(get__366se_1_1,refer_c)
    & quant(get__366se_1_1,one)
    & gener(get__366se_1_1,ge)
    & fact(get__366se_1_1,real)
    & etype(get__366se_1_1,int0)
    & card(get__366se_1_1,int1)
    & sort(get__366se_1_1,d)
    & sort(kr__344ftig_1_1,nq)
    & varia(c157,varia_c)
    & refer(c157,refer_c)
    & quant(c157,one)
    & gener(c157,gener_c)
    & fact(c157,real)
    & etype(c157,int0)
    & card(c157,int1)
    & sort(c157,d)
    & sort(frankfurter_1_1,gq)
    & varia(c145,con)
    & refer(c145,det)
    & quant(c145,one)
    & gener(c145,sp)
    & fact(c145,real)
    & etype(c145,int0)
    & card(c145,int1)
    & sort(c145,d)
    & 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(c134,varia_c)
    & refer(c134,refer_c)
    & quant(c134,one)
    & gener(c134,gener_c)
    & fact(c134,real)
    & etype(c134,int0)
    & card(c134,int1)
    & sort(c134,io)
    & sort(c134,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(bairisch_1_1,nq)
    & varia(c130,con)
    & refer(c130,det)
    & quant(c130,one)
    & gener(c130,sp)
    & fact(c130,real)
    & etype(c130,int0)
    & card(c130,int1)
    & sort(c130,d)
    & varia(rover_1_1,varia_c)
    & refer(rover_1_1,refer_c)
    & quant(rover_1_1,one)
    & gener(rover_1_1,ge)
    & fact(rover_1_1,real)
    & etype(rover_1_1,int0)
    & card(rover_1_1,int1)
    & sort(rover_1_1,d)
    & varia(c122,varia_c)
    & refer(c122,refer_c)
    & quant(c122,one)
    & gener(c122,gener_c)
    & fact(c122,real)
    & etype(c122,int0)
    & card(c122,int1)
    & sort(c122,d)
    & sort(britisch__1_1,nq)
    & varia(annahme_1_1,varia_c)
    & refer(annahme_1_1,refer_c)
    & quant(annahme_1_1,one)
    & gener(annahme_1_1,ge)
    & fact(annahme_1_1,real)
    & etype(annahme_1_1,int0)
    & card(annahme_1_1,int1)
    & sort(annahme_1_1,ad)
    & varia(c117,con)
    & refer(c117,det)
    & quant(c117,one)
    & gener(c117,sp)
    & fact(c117,real)
    & etype(c117,int0)
    & card(c117,int1)
    & sort(c117,d)
    & varia(c113,con)
    & refer(c113,det)
    & quant(c113,one)
    & gener(c113,sp)
    & fact(c113,real)
    & etype(c113,int0)
    & card(c113,int1)
    & sort(c113,ad)
    & sort(frankfurt_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(c104,varia_c)
    & refer(c104,det)
    & quant(c104,one)
    & gener(c104,sp)
    & fact(c104,real)
    & etype(c104,int0)
    & card(c104,int1)
    & sort(c104,na)
    & varia(c103,varia_c)
    & refer(c103,det)
    & quant(c103,one)
    & gener(c103,sp)
    & fact(c103,real)
    & etype(c103,int0)
    & card(c103,int1)
    & sort(c103,io)
    & sort(c103,d)
    & varia(parkett_1_1,varia_c)
    & refer(parkett_1_1,refer_c)
    & quant(parkett_1_1,one)
    & gener(parkett_1_1,ge)
    & fact(parkett_1_1,real)
    & etype(parkett_1_1,int0)
    & card(parkett_1_1,int1)
    & sort(parkett_1_1,d)
    & varia(b__366rse_1_1,varia_c)
    & refer(b__366rse_1_1,refer_c)
    & quant(b__366rse_1_1,one)
    & gener(b__366rse_1_1,ge)
    & fact(b__366rse_1_1,real)
    & etype(b__366rse_1_1,int0)
    & card(b__366rse_1_1,int1)
    & sort(b__366rse_1_1,io)
    & sort(b__366rse_1_1,d)
    & varia(b__366rsenparkett_1_1,varia_c)
    & refer(b__366rsenparkett_1_1,refer_c)
    & quant(b__366rsenparkett_1_1,one)
    & gener(b__366rsenparkett_1_1,ge)
    & fact(b__366rsenparkett_1_1,real)
    & etype(b__366rsenparkett_1_1,int0)
    & card(b__366rsenparkett_1_1,int1)
    & sort(b__366rsenparkett_1_1,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)
    & assoc(frankfurter_1_1,c103)
    & tupl_p7(c2161,c113,c122,c130,c134,c145,c157)
    & sub(c157,get__366se_1_1)
    & prop(c157,kr__344ftig_1_1)
    & sub(c145,b__366rsenparkett_1_1)
    & prop(c145,frankfurter_1_1)
    & sub(c134,firmengruppe_1_1)
    & sub(c130,bmw_1_1)
    & prop(c130,bairisch_1_1)
    & sub(c122,rover_1_1)
    & sub(c117,autobauer_1_1)
    & prop(c117,britisch__1_1)
    & subs(c113,annahme_1_1)
    & obj(c113,c117)
    & val(c104,frankfurt_0)
    & sub(c104,name_1_1)
    & sub(c103,stadt__1_1)
    & attr(c103,c104)
    & sub(b__366rsenparkett_1_1,parkett_1_1)
    & assoc(b__366rsenparkett_1_1,b__366rse_1_1)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,auto__1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10368,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,X1)
          & chea(X0,X3) )
      | ~ subs(X0,X2)
      | ~ chea(X2,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f96]) ).

fof(f10369,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( subs(X3,X1)
          & chea(X0,X3) )
      | ! [X2] :
          ( ~ subs(X0,X2)
          | ~ chea(X2,X1) ) ),
    inference(miniscoping,[status(thm)],[f10368]) ).

fof(f10370,plain,
    ! [X0,X1] :
      ( ( subs(sK3_skl(X1,X0),X1)
        & chea(X0,sK3_skl(X1,X0)) )
      | ! [X2] :
          ( ~ subs(X0,X2)
          | ~ chea(X2,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X3,sK3_skl(X1,X0))],[f10369]) ).

fof(f10372,plain,
    ! [X0,X1,X2] :
      ( ~ subs(X2,X0)
      | subs(sK3_skl(X1,X2),X1)
      | ~ chea(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10370]) ).

fof(f10373,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) )
      | ~ subs(X0,X1)
      | ~ chea(X2,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f97]) ).

fof(f10374,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( subs(X3,X2)
          & chea(X3,X0) )
      | ! [X1] :
          ( ~ subs(X0,X1)
          | ~ chea(X2,X1) ) ),
    inference(miniscoping,[status(thm)],[f10373]) ).

fof(f10375,plain,
    ! [X0,X2] :
      ( ( subs(sK4_skl(X2,X0),X2)
        & chea(sK4_skl(X2,X0),X0) )
      | ! [X1] :
          ( ~ subs(X0,X1)
          | ~ chea(X2,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X3,sK4_skl(X2,X0))],[f10374]) ).

fof(f10377,plain,
    ! [X0,X1,X2] :
      ( ~ subs(X1,X2)
      | ~ chea(X0,X2)
      | subs(sK4_skl(X0,X1),X0) ),
    inference(cnf_transformation,[status(thm)],[f10375]) ).

fof(f19162,plain,
    chea(n374bernehmen_1_1,annahme_1_1),
    inference(cnf_transformation,[status(thm)],[f8535]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ subs(X4,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X5,X6)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ( ! [X4] : ~ subs(X4,n374bernehmen_1_1)
    | ! [X2] :
        ( ~ sub(X2,name_1_1)
        | ! [X1] :
            ( ~ sub(X1,name_1_1)
            | ! [X5,X6] : ~ attr(X5,X6)
            | ! [X3] : ~ attr(X3,X2)
            | ! [X0] : ~ attr(X0,X1) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sub(X1,name_1_1)
      | ~ attr(X6,X3)
      | ~ attr(X4,X5)
      | ~ sub(X3,name_1_1)
      | ~ subs(X2,n374bernehmen_1_1)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20822,plain,
    attr(c103,c104),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c104,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    subs(c113,annahme_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21071,plain,
    ! [X0,X1,X2] :
      ( ~ sub(X1,name_1_1)
      | ~ sub(X1,name_1_1)
      | ~ subs(X2,n374bernehmen_1_1)
      | ~ attr(X0,X1) ),
    inference(factoring,[status(thm)],[f20817]) ).

fof(f21072,plain,
    ! [X0,X1,X2] :
      ( ~ attr(X2,X1)
      | ~ sub(X1,name_1_1)
      | ~ subs(X0,n374bernehmen_1_1) ),
    inference(duplicate_literals_removal,[status(thm)],[f21071]) ).

fof(f22915,plain,
    ! [X0] :
      ( ~ sub(c104,name_1_1)
      | ~ subs(X0,n374bernehmen_1_1) ),
    inference(resolution,[status(thm)],[f20822,f21072]) ).

fof(f23180,plain,
    ! [X0,X1] :
      ( ~ sub(c104,name_1_1)
      | ~ subs(X1,X0)
      | ~ chea(n374bernehmen_1_1,X0) ),
    inference(resolution,[status(thm)],[f10377,f22915]) ).

fof(f23390,plain,
    ! [X0,X1,X2] :
      ( ~ chea(X2,X0)
      | ~ sub(c104,name_1_1)
      | ~ subs(X1,X2)
      | ~ chea(n374bernehmen_1_1,X0) ),
    inference(resolution,[status(thm)],[f23180,f10372]) ).

fof(f23446,plain,
    ! [X0,X1] :
      ( ~ chea(X1,annahme_1_1)
      | ~ subs(X0,X1)
      | ~ sub(c104,name_1_1) ),
    inference(resolution,[status(thm)],[f23390,f19162]) ).

fof(f23459,plain,
    ! [X0,X1,X2] :
      ( ~ subs(X2,X1)
      | ~ chea(X0,annahme_1_1)
      | ~ chea(X0,X1)
      | ~ sub(c104,name_1_1) ),
    inference(resolution,[status(thm)],[f23446,f10377]) ).

fof(f23543,plain,
    ! [X0] :
      ( ~ subs(X0,annahme_1_1)
      | ~ sub(c104,name_1_1) ),
    inference(resolution,[status(thm)],[f23459,f19162]) ).

fof(f24099,plain,
    ~ sub(c104,name_1_1),
    inference(resolution,[status(thm)],[f20827,f23543]) ).

fof(f24587,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f20824,f24099]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+58 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  % Computer : n009.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 15:07:13 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.28/0.64  % Drodi V4.1.1
% 119.53/16.34  % Refutation found
% 119.53/16.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 119.53/16.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.48/16.53  % Elapsed time: 16.049312 seconds
% 2.48/16.53  % CPU time: 124.731888 seconds
% 2.48/16.53  % Total memory used: 674.439 MB
% 2.48/16.53  % Net memory used: 655.253 MB
%------------------------------------------------------------------------------