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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+88 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n007.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 12:14:06 PM UTC 2026

% Result   : Theorem 16.89s 2.69s
% Output   : CNFRefutation 16.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   35 (   9 unt;   0 def)
%            Number of atoms       :  303 (   0 equ)
%            Maximal formula atoms :  165 (   8 avg)
%            Number of connectives :  352 (  84   ~;  72   |; 194   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  165 (  12 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-10 aty)
%            Number of functors    :   50 (  50 usr;  48 con; 0-2 aty)
%            Number of variables   :  104 (  87   !;  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] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & 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] :
        ( val(X2,bmw_0)
        & val(X1,bmw_0)
        & 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(c172,varia_c)
    & refer(c172,det)
    & quant(c172,one)
    & gener(c172,sp)
    & fact(c172,real)
    & etype(c172,int0)
    & card(c172,int1)
    & sort(c172,o)
    & varia(c318,varia_c)
    & refer(c318,refer_c)
    & quant(c318,quant_c)
    & gener(c318,gener_c)
    & fact(c318,real)
    & etype(c318,etype_c)
    & card(c318,card_c)
    & sort(c318,ent)
    & 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(c198,varia_c)
    & refer(c198,indet)
    & quant(c198,one)
    & gener(c198,sp)
    & fact(c198,real)
    & etype(c198,int0)
    & card(c198,int1)
    & sort(c198,na)
    & varia(c197,con)
    & refer(c197,det)
    & quant(c197,one)
    & gener(c197,sp)
    & fact(c197,real)
    & etype(c197,int0)
    & card(c197,int1)
    & sort(c197,io)
    & sort(c197,d)
    & varia(c182,con)
    & refer(c182,det)
    & quant(c182,one)
    & gener(c182,sp)
    & fact(c182,real)
    & etype(c182,int0)
    & card(c182,int1)
    & sort(c182,o)
    & varia(version_1_1,varia_c)
    & refer(version_1_1,refer_c)
    & quant(version_1_1,one)
    & gener(version_1_1,ge)
    & fact(version_1_1,real)
    & etype(version_1_1,int0)
    & card(version_1_1,int1)
    & sort(version_1_1,io)
    & sort(version_1_1,d)
    & varia(c167,varia_c)
    & refer(c167,indet)
    & quant(c167,mult)
    & gener(c167,gener_c)
    & fact(c167,real)
    & etype(c167,int1)
    & card(c167,cons(x_constant,cons(int1,nil)))
    & sort(c167,io)
    & sort(c167,d)
    & varia(touring_1_1,varia_c)
    & refer(touring_1_1,refer_c)
    & quant(touring_1_1,one)
    & gener(touring_1_1,ge)
    & fact(touring_1_1,real)
    & etype(touring_1_1,int0)
    & card(touring_1_1,int1)
    & sort(touring_1_1,ad)
    & varia(c164,varia_c)
    & refer(c164,refer_c)
    & quant(c164,one)
    & gener(c164,gener_c)
    & fact(c164,real)
    & etype(c164,int0)
    & card(c164,int1)
    & sort(c164,ad)
    & varia(e28_1_1,varia_c)
    & refer(e28_1_1,refer_c)
    & quant(e28_1_1,one)
    & gener(e28_1_1,ge)
    & fact(e28_1_1,real)
    & etype(e28_1_1,int0)
    & card(e28_1_1,int1)
    & sort(e28_1_1,o)
    & varia(c159,varia_c)
    & refer(c159,refer_c)
    & quant(c159,several)
    & gener(c159,gener_c)
    & fact(c159,real)
    & etype(c159,int1)
    & card(c159,cons(x_constant,cons(int1,nil)))
    & sort(c159,o)
    & sort(schulz_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(c156,varia_c)
    & refer(c156,indet)
    & quant(c156,one)
    & gener(c156,sp)
    & fact(c156,real)
    & etype(c156,int0)
    & card(c156,int1)
    & sort(c156,na)
    & varia(c155,con)
    & refer(c155,det)
    & quant(c155,one)
    & gener(c155,sp)
    & fact(c155,real)
    & etype(c155,int0)
    & card(c155,int1)
    & sort(c155,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(c150,con)
    & refer(c150,det)
    & quant(c150,one)
    & gener(c150,sp)
    & fact(c150,real)
    & etype(c150,int0)
    & card(c150,int1)
    & sort(c150,io)
    & sort(c150,d)
    & tupl_p10(c318,c150,c155,c159,c164,c167,c172,c164,c182,c197)
    & val(c198,bmw_0)
    & sub(c198,name_1_1)
    & sub(c197,firma_1_1)
    & attr(c197,c198)
    & sub(c182,e28_1_1)
    & pred(c167,version_1_1)
    & subs(c164,touring_1_1)
    & pred(c159,e28_1_1)
    & val(c156,schulz_0)
    & sub(c156,familiename_1_1)
    & sub(c155,mensch_1_1)
    & attr(c155,c156)
    & sub(c150,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] :
      ( 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,X6] :
      ( ~ val(X2,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ 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] :
      ( ~ val(X2,bmw_0)
      | ! [X1] :
          ( ~ val(X1,bmw_0)
          | ~ sub(X2,name_1_1)
          | ! [X0] :
              ( ~ sub(X0,firma_1_1)
              | ~ 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] :
      ( ~ val(X3,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ 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(f20827,plain,
    attr(c197,c198),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    sub(c197,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    sub(c198,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    val(c198,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21018,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X5,X0)
      | ~ attr(X3,X4)
      | ~ attr(X2,X1)
      | ~ attr(X0,X1) ),
    inference(factoring,[status(thm)],[f20817]) ).

fof(f21019,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ val(X1,bmw_0)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X5,X0)
      | ~ attr(X3,X4)
      | ~ attr(X2,X1)
      | ~ attr(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f21018]) ).

fof(f21022,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ sub(c198,name_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c198)
      | ~ attr(X0,c198) ),
    inference(resolution,[status(thm)],[f20830,f21019]) ).

fof(f21035,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c198)
      | ~ attr(X0,c198) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21022,f20829]) ).

fof(f21036,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X3,X0)
      | ~ attr(X1,X2)
      | ~ attr(X0,c198) ),
    inference(resolution,[status(thm)],[f21035,f20827]) ).

fof(f21037,plain,
    ! [X0,X1,X2] :
      ( ~ sub(c197,firma_1_1)
      | ~ obj(X2,c197)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21036,f20827]) ).

fof(f21038,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c197)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21037,f20828]) ).

fof(f21041,plain,
    ! [X0] :
      ( obj(sK51_skl(c197),c197)
      | ~ sub(c198,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f10702,f20827]) ).

fof(f21042,plain,
    ( obj(sK51_skl(c197),c197)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21041,f20829]) ).

fof(f21045,plain,
    ( ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil)))
    | obj(sK51_skl(c197),c197) ),
    inference(resolution,[status(thm)],[f21042,f10194]) ).

fof(f21046,plain,
    ( ~ member(name_1_1,cons(name_1_1,nil))
    | obj(sK51_skl(c197),c197) ),
    inference(resolution,[status(thm)],[f21045,f10194]) ).

fof(f21047,plain,
    obj(sK51_skl(c197),c197),
    inference(forward_subsumption_resolution,[status(thm)],[f21046,f10191]) ).

fof(f21048,plain,
    ! [X0,X1] : ~ attr(X0,X1),
    inference(resolution,[status(thm)],[f21047,f21038]) ).

fof(f21052,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20827,f21048]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+88 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n007.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 15:06:06 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.47  % Drodi V4.1.1
% 16.89/2.69  % Refutation found
% 16.89/2.69  % SZS status Theorem for theBenchmark: Theorem is valid
% 16.89/2.69  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.89/2.87  % Elapsed time: 2.491118 seconds
% 16.89/2.87  % CPU time: 17.753574 seconds
% 16.89/2.87  % Total memory used: 491.471 MB
% 16.89/2.87  % Net memory used: 483.870 MB
%------------------------------------------------------------------------------