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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+78 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/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 12:14:05 PM UTC 2026

% Result   : Theorem 19.77s 3.05s
% Output   : CNFRefutation 19.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (  10 unt;   5 def)
%            Number of atoms       :  349 (   0 equ)
%            Maximal formula atoms :  264 (  10 avg)
%            Number of connectives :  366 (  51   ~;  37   |; 273   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  264 (  12 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   6 prp; 0-5 aty)
%            Number of functors    :   61 (  61 usr;  61 con; 0-0 aty)
%            Number of variables   :   46 (  34   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
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,
    ( gener(bleiben_1_2,ge)
    & fact(bleiben_1_2,real)
    & sort(bleiben_1_2,st)
    & varia(c5573,con)
    & refer(c5573,det)
    & quant(c5573,one)
    & gener(c5573,sp)
    & fact(c5573,real)
    & etype(c5573,int0)
    & card(c5573,int1)
    & sort(c5573,l)
    & sort(ford_0,fe)
    & varia(land_1_1,varia_c)
    & refer(land_1_1,refer_c)
    & quant(land_1_1,one)
    & gener(land_1_1,ge)
    & fact(land_1_1,real)
    & etype(land_1_1,int0)
    & card(land_1_1,int1)
    & sort(land_1_1,io)
    & sort(land_1_1,d)
    & varia(c5570,varia_c)
    & refer(c5570,indet)
    & quant(c5570,one)
    & gener(c5570,sp)
    & fact(c5570,real)
    & etype(c5570,int0)
    & card(c5570,int1)
    & sort(c5570,na)
    & varia(c5558,varia_c)
    & refer(c5558,det)
    & quant(c5558,one)
    & gener(c5558,sp)
    & fact(c5558,real)
    & etype(c5558,int0)
    & card(c5558,int1)
    & sort(c5558,na)
    & gener(gehen_1_2,ge)
    & fact(gehen_1_2,real)
    & sort(gehen_1_2,dn)
    & gener(c7,sp)
    & fact(c7,real)
    & sort(c7,st)
    & varia(c5557,varia_c)
    & refer(c5557,det)
    & quant(c5557,one)
    & gener(c5557,sp)
    & fact(c5557,real)
    & etype(c5557,int0)
    & card(c5557,int1)
    & sort(c5557,io)
    & sort(c5557,d)
    & gener(c5513,sp)
    & fact(c5513,real)
    & sort(c5513,dn)
    & varia(c48992,varia_c)
    & refer(c48992,refer_c)
    & quant(c48992,quant_c)
    & gener(c48992,gener_c)
    & fact(c48992,real)
    & etype(c48992,etype_c)
    & card(c48992,card_c)
    & sort(c48992,ent)
    & sort(rover_0,fe)
    & varia(c48938,varia_c)
    & refer(c48938,indet)
    & quant(c48938,one)
    & gener(c48938,sp)
    & fact(c48938,real)
    & etype(c48938,int0)
    & card(c48938,int1)
    & sort(c48938,na)
    & varia(c48937,con)
    & refer(c48937,det)
    & quant(c48937,one)
    & gener(c48937,sp)
    & fact(c48937,real)
    & etype(c48937,int0)
    & card(c48937,int1)
    & sort(c48937,io)
    & sort(c48937,d)
    & varia(group_1_1,varia_c)
    & refer(group_1_1,refer_c)
    & quant(group_1_1,one)
    & gener(group_1_1,ge)
    & fact(group_1_1,real)
    & etype(group_1_1,int0)
    & card(group_1_1,int1)
    & sort(group_1_1,o)
    & sort(mg_0,fe)
    & varia(einrichtung_1_2,varia_c)
    & refer(einrichtung_1_2,refer_c)
    & quant(einrichtung_1_2,quant_c)
    & gener(einrichtung_1_2,ge)
    & fact(einrichtung_1_2,real)
    & etype(einrichtung_1_2,int1)
    & card(einrichtung_1_2,card_c)
    & sort(einrichtung_1_2,io)
    & sort(einrichtung_1_2,d)
    & varia(c48934,varia_c)
    & refer(c48934,indet)
    & quant(c48934,one)
    & gener(c48934,sp)
    & fact(c48934,real)
    & etype(c48934,int0)
    & card(c48934,int1)
    & sort(c48934,na)
    & varia(c48935,varia_c)
    & refer(c48935,det)
    & quant(c48935,one)
    & gener(c48935,sp)
    & fact(c48935,real)
    & etype(c48935,int0)
    & card(c48935,int1)
    & sort(c48935,o)
    & varia(c48933,con)
    & refer(c48933,det)
    & quant(c48933,one)
    & gener(c48933,sp)
    & fact(c48933,real)
    & etype(c48933,int1)
    & card(c48933,int1)
    & sort(c48933,io)
    & sort(c48933,d)
    & varia(sich_1_1,varia_c)
    & refer(sich_1_1,refer_c)
    & quant(sich_1_1,one)
    & gener(sich_1_1,gener_c)
    & fact(sich_1_1,real)
    & etype(sich_1_1,int0)
    & card(sich_1_1,int1)
    & sort(sich_1_1,o)
    & varia(c48916,varia_c)
    & refer(c48916,refer_c)
    & quant(c48916,one)
    & gener(c48916,gener_c)
    & fact(c48916,real)
    & etype(c48916,int0)
    & card(c48916,int1)
    & sort(c48916,o)
    & varia(c48903,varia_c)
    & refer(c48903,refer_c)
    & quant(c48903,one)
    & gener(c48903,gener_c)
    & fact(c48903,real)
    & etype(c48903,int0)
    & card(c48903,int1)
    & sort(c48903,io)
    & sort(c48903,d)
    & varia(die_1_1,varia_c)
    & refer(die_1_1,refer_c)
    & quant(die_1_1,one)
    & gener(die_1_1,ge)
    & fact(die_1_1,real)
    & etype(die_1_1,int0)
    & card(die_1_1,int1)
    & sort(die_1_1,o)
    & varia(c48902,varia_c)
    & refer(c48902,refer_c)
    & quant(c48902,nfquant)
    & gener(c48902,gener_c)
    & fact(c48902,real)
    & etype(c48902,int1)
    & card(c48902,int2000)
    & sort(c48902,o)
    & sort(bmw_0,fe)
    & 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(c4653,varia_c)
    & refer(c4653,indet)
    & quant(c4653,one)
    & gener(c4653,sp)
    & fact(c4653,real)
    & etype(c4653,int0)
    & card(c4653,int1)
    & sort(c4653,na)
    & varia(c4652,con)
    & refer(c4652,det)
    & quant(c4652,one)
    & gener(c4652,sp)
    & fact(c4652,real)
    & etype(c4652,int0)
    & card(c4652,int1)
    & sort(c4652,io)
    & sort(c4652,d)
    & sort(mini_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(erzeugnis_1_1,varia_c)
    & refer(erzeugnis_1_1,refer_c)
    & quant(erzeugnis_1_1,quant_c)
    & gener(erzeugnis_1_1,ge)
    & fact(erzeugnis_1_1,real)
    & etype(erzeugnis_1_1,etype_c)
    & card(erzeugnis_1_1,card_c)
    & sort(erzeugnis_1_1,co)
    & varia(c3869,varia_c)
    & refer(c3869,indet)
    & quant(c3869,one)
    & gener(c3869,sp)
    & fact(c3869,real)
    & etype(c3869,int0)
    & card(c3869,int1)
    & sort(c3869,na)
    & varia(c3868,con)
    & refer(c3868,det)
    & quant(c3868,quant_c)
    & gener(c3868,sp)
    & fact(c3868,real)
    & etype(c3868,etype_c)
    & card(c3868,card_c)
    & sort(c3868,co)
    & subs(c7,bleiben_1_2)
    & scar(c7,c3868)
    & loc(c7,c5573)
    & bei(c5573,c4652)
    & val(c5570,ford_0)
    & sub(c5570,name_1_1)
    & val(c5558,rover_0)
    & sub(c5558,name_1_1)
    & sub(c5557,land_1_1)
    & sub(c5557,firma_1_1)
    & attr(c5557,c5570)
    & attr(c5557,c5558)
    & subs(c5513,gehen_1_2)
    & semrel(c5513,c7)
    & ornt(c5513,c5557)
    & obj(c5513,c5557)
    & tupl_p5(c48992,c48902,c48903,c48916,c48935)
    & val(c48938,rover_0)
    & sub(c48938,name_1_1)
    & sub(c48937,firma_1_1)
    & attr(c48937,c48938)
    & attch(c48937,c48935)
    & sub(c48935,group_1_1)
    & val(c48934,mg_0)
    & sub(c48934,name_1_1)
    & sub(c48933,einrichtung_1_2)
    & attr(c48933,c48934)
    & attch(c48933,c48935)
    & sub(c48916,sich_1_1)
    & sub(c48903,firma_1_1)
    & pred(c48902,die_1_1)
    & val(c4653,bmw_0)
    & sub(c4653,name_1_1)
    & sub(c4652,firma_1_1)
    & attr(c4652,c4653)
    & val(c3869,mini_0)
    & sub(c3869,name_1_1)
    & sub(c3868,erzeugnis_1_1)
    & attr(c3868,c3869) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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(f20822,plain,
    attr(c4652,c4653),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c4653,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    val(c4653,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20841,plain,
    obj(c5513,c5557),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20847,plain,
    sub(c5557,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21117,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(f21118,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21117]) ).

fof(f21120,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ~ attr(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21121,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21120]) ).

fof(f21123,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ( ~ sub(X5,firma_1_1)
        | ~ obj(X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21124,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ sub(X1,firma_1_1)
      | ~ obj(X0,X1) ),
    inference(component_clause,[status(thm)],[f21123]) ).

fof(f21126,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21117,f21120,f21123]) ).

fof(f21127,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ obj(X0,c5557) ),
    inference(resolution,[status(thm)],[f20847,f21124]) ).

fof(f21145,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20841,f21127]) ).

fof(f21146,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21145]) ).

fof(f21150,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c4653,name_1_1)
      | ~ attr(X0,c4653) ),
    inference(resolution,[status(thm)],[f21118,f20825]) ).

fof(f21151,definition,
    ! [X0] :
      ( sQ3_spl
    <=> ~ attr(X0,c4653) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21152,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ attr(X0,c4653) ),
    inference(component_clause,[status(thm)],[f21151]) ).

fof(f21154,definition,
    ( sQ4_spl
  <=> sub(c4653,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21156,plain,
    ( sQ4_spl
    | ~ sub(c4653,name_1_1) ),
    inference(component_clause,[status(thm)],[f21154]) ).

fof(f21157,plain,
    ( ~ sQ0_spl
    | ~ sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f21150,f21151,f21154,f21117]) ).

fof(f21158,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21156,f20824]) ).

fof(f21159,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21158]) ).

fof(f21160,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20822,f21121]) ).

fof(f21161,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21160]) ).

fof(f21167,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20822,f21152]) ).

fof(f21168,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21167]) ).

fof(f21169,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21126,f21146,f21157,f21159,f21161,f21168]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+78 : 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 : n009.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 15:07:42 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.23/0.50  % Drodi V4.1.1
% 19.77/3.05  % Refutation found
% 19.77/3.05  % SZS status Theorem for theBenchmark: Theorem is valid
% 19.77/3.05  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.91/3.14  % Elapsed time: 2.771812 seconds
% 15.91/3.14  % CPU time: 20.442520 seconds
% 15.91/3.14  % Total memory used: 504.334 MB
% 15.91/3.14  % Net memory used: 495.502 MB
%------------------------------------------------------------------------------