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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+69 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 12:14:04 PM UTC 2026

% Result   : Theorem 21.10s 3.38s
% Output   : CNFRefutation 21.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   35 (   9 unt;   0 def)
%            Number of atoms       :  276 (   0 equ)
%            Maximal formula atoms :  138 (   7 avg)
%            Number of connectives :  325 (  84   ~;  72   |; 167   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  138 (  11 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-6 aty)
%            Number of functors    :   47 (  47 usr;  45 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(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(tuning_1_1,varia_c)
    & refer(tuning_1_1,refer_c)
    & quant(tuning_1_1,one)
    & gener(tuning_1_1,ge)
    & fact(tuning_1_1,real)
    & etype(tuning_1_1,int0)
    & card(tuning_1_1,int1)
    & sort(tuning_1_1,io)
    & varia(fahrzeug__1_1,varia_c)
    & refer(fahrzeug__1_1,refer_c)
    & quant(fahrzeug__1_1,one)
    & gener(fahrzeug__1_1,ge)
    & fact(fahrzeug__1_1,real)
    & etype(fahrzeug__1_1,int0)
    & card(fahrzeug__1_1,int1)
    & sort(fahrzeug__1_1,d)
    & sort(ganz_1_1,nq)
    & varia(c307,varia_c)
    & refer(c307,refer_c)
    & quant(c307,quant_c)
    & gener(c307,gener_c)
    & fact(c307,real)
    & etype(c307,etype_c)
    & card(c307,card_c)
    & sort(c307,ent)
    & varia(basis_1_1,varia_c)
    & refer(basis_1_1,refer_c)
    & quant(basis_1_1,one)
    & gener(basis_1_1,ge)
    & fact(basis_1_1,real)
    & etype(basis_1_1,int0)
    & card(basis_1_1,int1)
    & sort(basis_1_1,io)
    & varia(c168,varia_c)
    & refer(c168,refer_c)
    & quant(c168,one)
    & gener(c168,gener_c)
    & fact(c168,real)
    & etype(c168,int0)
    & card(c168,int1)
    & sort(c168,io)
    & 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(c164,varia_c)
    & refer(c164,indet)
    & quant(c164,one)
    & gener(c164,sp)
    & fact(c164,real)
    & etype(c164,int0)
    & card(c164,int1)
    & sort(c164,na)
    & varia(c163,con)
    & refer(c163,det)
    & quant(c163,one)
    & gener(c163,sp)
    & fact(c163,real)
    & etype(c163,int0)
    & card(c163,int1)
    & sort(c163,io)
    & sort(c163,d)
    & varia(komplettfahrzeug_1_1,varia_c)
    & refer(komplettfahrzeug_1_1,refer_c)
    & quant(komplettfahrzeug_1_1,one)
    & gener(komplettfahrzeug_1_1,ge)
    & fact(komplettfahrzeug_1_1,real)
    & etype(komplettfahrzeug_1_1,int0)
    & card(komplettfahrzeug_1_1,int1)
    & sort(komplettfahrzeug_1_1,d)
    & varia(c140,varia_c)
    & refer(c140,indet)
    & quant(c140,mult)
    & gener(c140,gener_c)
    & fact(c140,real)
    & etype(c140,int1)
    & card(c140,cons(x_constant,cons(int1,nil)))
    & sort(c140,d)
    & varia(tuningteil_1_1,varia_c)
    & refer(tuningteil_1_1,refer_c)
    & quant(tuningteil_1_1,quant_c)
    & gener(tuningteil_1_1,ge)
    & fact(tuningteil_1_1,real)
    & etype(tuningteil_1_1,etype_c)
    & card(tuningteil_1_1,card_c)
    & sort(tuningteil_1_1,co)
    & varia(c137,varia_c)
    & refer(c137,indet)
    & quant(c137,quant_c)
    & gener(c137,gener_c)
    & fact(c137,real)
    & etype(c137,etype_c)
    & card(c137,card_c)
    & sort(c137,co)
    & 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(c124,con)
    & refer(c124,det)
    & quant(c124,one)
    & gener(c124,sp)
    & fact(c124,real)
    & etype(c124,int0)
    & card(c124,int1)
    & sort(c124,io)
    & sort(c124,d)
    & sub(tuningteil_1_1,teil_1_1)
    & assoc(tuningteil_1_1,tuning_1_1)
    & sub(komplettfahrzeug_1_1,fahrzeug__1_1)
    & assoc(komplettfahrzeug_1_1,ganz_1_1)
    & tupl_p6(c307,c124,c137,c140,c163,c168)
    & sub(c168,basis_1_1)
    & val(c164,bmw_0)
    & sub(c164,name_1_1)
    & sub(c163,firma_1_1)
    & attr(c163,c164)
    & pred(c140,komplettfahrzeug_1_1)
    & pred(c137,tuningteil_1_1)
    & sub(c124,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(f20821,plain,
    attr(c163,c164),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    sub(c163,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c164,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    val(c164,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20991,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(f20992,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)],[f20991]) ).

fof(f20995,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ sub(c164,name_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c164)
      | ~ attr(X0,c164) ),
    inference(resolution,[status(thm)],[f20824,f20992]) ).

fof(f21008,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X4,X0)
      | ~ attr(X2,X3)
      | ~ attr(X1,c164)
      | ~ attr(X0,c164) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20995,f20823]) ).

fof(f21009,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(X3,X0)
      | ~ attr(X1,X2)
      | ~ attr(X0,c164) ),
    inference(resolution,[status(thm)],[f21008,f20821]) ).

fof(f21010,plain,
    ! [X0,X1,X2] :
      ( ~ sub(c163,firma_1_1)
      | ~ obj(X2,c163)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21009,f20821]) ).

fof(f21011,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c163)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21010,f20822]) ).

fof(f21016,plain,
    ! [X0] :
      ( obj(sK51_skl(c163),c163)
      | ~ sub(c164,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f10702,f20821]) ).

fof(f21017,plain,
    ( obj(sK51_skl(c163),c163)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21016,f20823]) ).

fof(f21018,plain,
    ( ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil)))
    | obj(sK51_skl(c163),c163) ),
    inference(resolution,[status(thm)],[f21017,f10194]) ).

fof(f21019,plain,
    ( ~ member(name_1_1,cons(name_1_1,nil))
    | obj(sK51_skl(c163),c163) ),
    inference(resolution,[status(thm)],[f21018,f10194]) ).

fof(f21020,plain,
    obj(sK51_skl(c163),c163),
    inference(forward_subsumption_resolution,[status(thm)],[f21019,f10191]) ).

fof(f21021,plain,
    ! [X0,X1] : ~ attr(X0,X1),
    inference(resolution,[status(thm)],[f21020,f21011]) ).

fof(f21026,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20821,f21021]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+69 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n005.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep 21 15:07:48 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.28/0.62  % Drodi V4.1.1
% 21.10/3.38  % Refutation found
% 21.10/3.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 21.10/3.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.86/3.46  % Elapsed time: 3.088784 seconds
% 21.86/3.46  % CPU time: 21.880451 seconds
% 21.86/3.46  % Total memory used: 506.347 MB
% 21.86/3.46  % Net memory used: 496.451 MB
%------------------------------------------------------------------------------