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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+60 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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 25.31s 3.80s
% Output   : CNFRefutation 26.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   59 (  11 unt;   8 def)
%            Number of atoms       :  332 (   0 equ)
%            Maximal formula atoms :  147 (   5 avg)
%            Number of connectives :  357 (  84   ~;  71   |; 192   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  147 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   34 (  33 usr;   9 prp; 0-2 aty)
%            Number of functors    :   54 (  54 usr;  50 con; 0-3 aty)
%            Number of variables   :   89 (  66   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f162,axiom,
    ! [X0,X1,X2] :
      ( ( subr(X0,sub_0)
        & arg2(X0,X2)
        & arg1(X0,X1) )
     => ? [X3,X4,X5] :
          ( subs(X3,bezeichnen_1_1)
          & subr(X4,rprs_0)
          & sub(X5,X2)
          & obj(X3,X1)
          & mcont(X3,X4)
          & hsit(X0,X3)
          & arg2(X4,X5)
          & arg1(X4,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f163,axiom,
    ! [X0,X1] :
      ( sub(X0,X1)
     => ? [X2] :
          ( subr(X2,sub_0)
          & arg2(X2,X1)
          & arg1(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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/sandbox/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,
    ( varia(c10386,varia_c)
    & refer(c10386,det)
    & quant(c10386,quant_c)
    & gener(c10386,sp)
    & fact(c10386,real)
    & etype(c10386,etype_c)
    & card(c10386,card_c)
    & sort(c10386,co)
    & gener(c5,sp)
    & fact(c5,real)
    & sort(c5,st)
    & varia(re_1_1,varia_c)
    & refer(re_1_1,refer_c)
    & quant(re_1_1,one)
    & gener(re_1_1,sp)
    & fact(re_1_1,real)
    & etype(re_1_1,int0)
    & card(re_1_1,int1)
    & sort(re_1_1,t)
    & varia(future_0,varia_c)
    & refer(future_0,refer_c)
    & quant(future_0,one)
    & gener(future_0,sp)
    & fact(future_0,real)
    & etype(future_0,int0)
    & card(future_0,int1)
    & sort(future_0,t)
    & varia(bald_1_1,varia_c)
    & refer(bald_1_1,refer_c)
    & quant(bald_1_1,one)
    & gener(bald_1_1,sp)
    & fact(bald_1_1,real)
    & etype(bald_1_1,int0)
    & card(bald_1_1,int1)
    & sort(bald_1_1,t)
    & gener(befinden_1_2,ge)
    & fact(befinden_1_2,real)
    & sort(befinden_1_2,st)
    & gener(so_1_1,gener_c)
    & fact(so_1_1,real)
    & sort(so_1_1,md)
    & gener(c11981,sp)
    & fact(c11981,real)
    & sort(c11981,st)
    & sort(rover_0,fe)
    & varia(c11966,varia_c)
    & refer(c11966,indet)
    & quant(c11966,one)
    & gener(c11966,sp)
    & fact(c11966,real)
    & etype(c11966,int0)
    & card(c11966,int1)
    & sort(c11966,na)
    & gener(nehmen_1_7,ge)
    & fact(nehmen_1_7,real)
    & sort(nehmen_1_7,da)
    & varia(c11965,con)
    & refer(c11965,det)
    & quant(c11965,one)
    & gener(c11965,sp)
    & fact(c11965,real)
    & etype(c11965,int0)
    & card(c11965,int1)
    & sort(c11965,io)
    & sort(c11965,d)
    & gener(c11873,sp)
    & fact(c11873,real)
    & sort(c11873,da)
    & varia(marke_1_1,varia_c)
    & refer(marke_1_1,refer_c)
    & quant(marke_1_1,one)
    & gener(marke_1_1,ge)
    & fact(marke_1_1,real)
    & etype(marke_1_1,int0)
    & card(marke_1_1,int1)
    & sort(marke_1_1,oa)
    & sort(marke_1_1,io)
    & sort(britisch__1_1,nq)
    & varia(c11687,con)
    & refer(c11687,det)
    & quant(c11687,one)
    & gener(c11687,sp)
    & fact(c11687,real)
    & etype(c11687,int0)
    & card(c11687,int1)
    & sort(c11687,oa)
    & sort(c11687,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(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(c11683,varia_c)
    & refer(c11683,indet)
    & quant(c11683,one)
    & gener(c11683,sp)
    & fact(c11683,real)
    & etype(c11683,int0)
    & card(c11683,int1)
    & sort(c11683,na)
    & varia(c11682,con)
    & refer(c11682,det)
    & quant(c11682,one)
    & gener(c11682,sp)
    & fact(c11682,real)
    & etype(c11682,int0)
    & card(c11682,int1)
    & sort(c11682,io)
    & sort(c11682,d)
    & temp(c5,c11873)
    & subs(c5,befinden_1_2)
    & scar(c5,c10386)
    & modl(c5,so_1_1)
    & temp(c11981,re_1_1)
    & temp(c11981,future_0)
    & temp(c11981,bald_1_1)
    & subs(c11981,befinden_1_2)
    & semrel(c11981,c11873)
    & scar(c11981,c11682)
    & modl(c11981,so_1_1)
    & val(c11966,rover_0)
    & sub(c11966,name_1_1)
    & sub(c11965,firma_1_1)
    & attr(c11965,c11966)
    & subs(c11873,nehmen_1_7)
    & obj(c11873,c11687)
    & benf(c11873,c11682)
    & agt(c11873,c11965)
    & sub(c11687,marke_1_1)
    & prop(c11687,britisch__1_1)
    & val(c11683,bmw_0)
    & sub(c11683,name_1_1)
    & sub(c11682,firma_1_1)
    & attr(c11682,c11683) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10715,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( subs(X3,bezeichnen_1_1)
          & subr(X4,rprs_0)
          & sub(X5,X2)
          & obj(X3,X1)
          & mcont(X3,X4)
          & hsit(X0,X3)
          & arg2(X4,X5)
          & arg1(X4,X1) )
      | ~ subr(X0,sub_0)
      | ~ arg2(X0,X2)
      | ~ arg1(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f162]) ).

fof(f10716,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subs(X3,bezeichnen_1_1)
          & ? [X4] :
              ( subr(X4,rprs_0)
              & ? [X5] :
                  ( sub(X5,X2)
                  & obj(X3,X1)
                  & mcont(X3,X4)
                  & hsit(X0,X3)
                  & arg2(X4,X5)
                  & arg1(X4,X1) ) ) )
      | ~ subr(X0,sub_0)
      | ~ arg2(X0,X2)
      | ~ arg1(X0,X1) ),
    inference(miniscoping,[status(thm)],[f10715]) ).

fof(f10717,plain,
    ! [X0,X1,X2] :
      ( ( subs(sK54_skl(X2,X1,X0),bezeichnen_1_1)
        & subr(sK55_skl(X2,X1,X0),rprs_0)
        & sub(sK56_skl(X2,X1,X0),X2)
        & obj(sK54_skl(X2,X1,X0),X1)
        & mcont(sK54_skl(X2,X1,X0),sK55_skl(X2,X1,X0))
        & hsit(X0,sK54_skl(X2,X1,X0))
        & arg2(sK55_skl(X2,X1,X0),sK56_skl(X2,X1,X0))
        & arg1(sK55_skl(X2,X1,X0),X1) )
      | ~ subr(X0,sub_0)
      | ~ arg2(X0,X2)
      | ~ arg1(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK54_skl,sK55_skl,sK56_skl]),skolemize(X3,sK54_skl(X2,X1,X0)),skolemize(X4,sK55_skl(X2,X1,X0)),skolemize(X5,sK56_skl(X2,X1,X0))],[f10716]) ).

fof(f10722,plain,
    ! [X0,X1,X2] :
      ( obj(sK54_skl(X2,X1,X0),X1)
      | ~ subr(X0,sub_0)
      | ~ arg2(X0,X2)
      | ~ arg1(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10717]) ).

fof(f10726,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subr(X2,sub_0)
          & arg2(X2,X1)
          & arg1(X2,X0) )
      | ~ sub(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f163]) ).

fof(f10727,plain,
    ! [X0,X1] :
      ( ( subr(sK57_skl(X1,X0),sub_0)
        & arg2(sK57_skl(X1,X0),X1)
        & arg1(sK57_skl(X1,X0),X0) )
      | ~ sub(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK57_skl]),skolemize(X2,sK57_skl(X1,X0))],[f10726]) ).

fof(f10728,plain,
    ! [X0,X1] :
      ( arg1(sK57_skl(X1,X0),X0)
      | ~ sub(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10727]) ).

fof(f10729,plain,
    ! [X0,X1] :
      ( arg2(sK57_skl(X1,X0),X1)
      | ~ sub(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10727]) ).

fof(f10730,plain,
    ! [X0,X1] :
      ( subr(sK57_skl(X1,X0),sub_0)
      | ~ sub(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10727]) ).

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(f20818,plain,
    attr(c11682,c11683),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c11683,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    val(c11683,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    attr(c11965,c11966),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    sub(c11965,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21000,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(f21001,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21000]) ).

fof(f21003,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ~ attr(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21004,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21003]) ).

fof(f21006,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ( ~ sub(X5,firma_1_1)
        | ~ obj(X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21007,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ sub(X1,firma_1_1)
      | ~ obj(X0,X1) ),
    inference(component_clause,[status(thm)],[f21006]) ).

fof(f21009,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21000,f21003,f21006]) ).

fof(f21015,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ obj(X0,c11965) ),
    inference(resolution,[status(thm)],[f20829,f21007]) ).

fof(f21878,plain,
    subr(sK57_skl(firma_1_1,c11965),sub_0),
    inference(resolution,[status(thm)],[f10730,f20829]) ).

fof(f21886,plain,
    ! [X0,X1] :
      ( obj(sK54_skl(X1,X0,sK57_skl(firma_1_1,c11965)),X0)
      | ~ arg2(sK57_skl(firma_1_1,c11965),X1)
      | ~ arg1(sK57_skl(firma_1_1,c11965),X0) ),
    inference(resolution,[status(thm)],[f21878,f10722]) ).

fof(f21945,definition,
    ( sQ4_spl
  <=> sub(c11965,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21947,plain,
    ( sQ4_spl
    | ~ sub(c11965,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21945]) ).

fof(f21949,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21947,f20829]) ).

fof(f21950,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21949]) ).

fof(f21951,plain,
    ! [X0] :
      ( ~ sub(c11965,firma_1_1)
      | obj(sK54_skl(firma_1_1,X0,sK57_skl(firma_1_1,c11965)),X0)
      | ~ arg1(sK57_skl(firma_1_1,c11965),X0) ),
    inference(resolution,[status(thm)],[f21886,f10729]) ).

fof(f21952,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ( obj(sK54_skl(firma_1_1,X0,sK57_skl(firma_1_1,c11965)),X0)
        | ~ arg1(sK57_skl(firma_1_1,c11965),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21953,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | obj(sK54_skl(firma_1_1,X0,sK57_skl(firma_1_1,c11965)),X0)
      | ~ arg1(sK57_skl(firma_1_1,c11965),X0) ),
    inference(component_clause,[status(thm)],[f21952]) ).

fof(f21955,plain,
    ( ~ sQ4_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21951,f21952,f21945]) ).

fof(f21956,plain,
    ( ~ sQ5_spl
    | ~ sub(c11965,firma_1_1)
    | obj(sK54_skl(firma_1_1,c11965,sK57_skl(firma_1_1,c11965)),c11965) ),
    inference(resolution,[status(thm)],[f21953,f10728]) ).

fof(f21957,definition,
    ( sQ6_spl
  <=> obj(sK54_skl(firma_1_1,c11965,sK57_skl(firma_1_1,c11965)),c11965) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21958,plain,
    ( ~ sQ6_spl
    | obj(sK54_skl(firma_1_1,c11965,sK57_skl(firma_1_1,c11965)),c11965) ),
    inference(component_clause,[status(thm)],[f21957]) ).

fof(f21960,plain,
    ( ~ sQ5_spl
    | ~ sQ4_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f21956,f21957,f21945,f21952]) ).

fof(f21961,plain,
    ( ~ sQ6_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21958,f21015]) ).

fof(f21962,plain,
    ( ~ sQ6_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f21961]) ).

fof(f21964,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ val(c11683,bmw_0)
      | ~ attr(X0,c11683) ),
    inference(resolution,[status(thm)],[f21001,f20820]) ).

fof(f21974,definition,
    ! [X0] :
      ( sQ9_spl
    <=> ~ attr(X0,c11683) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f21975,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | ~ attr(X0,c11683) ),
    inference(component_clause,[status(thm)],[f21974]) ).

fof(f21977,definition,
    ( sQ10_spl
  <=> val(c11683,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f21979,plain,
    ( sQ10_spl
    | ~ val(c11683,bmw_0) ),
    inference(component_clause,[status(thm)],[f21977]) ).

fof(f21980,plain,
    ( ~ sQ0_spl
    | ~ sQ10_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f21964,f21974,f21977,f21000]) ).

fof(f21995,plain,
    ( ~ sQ9_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20818,f21975]) ).

fof(f21996,plain,
    ~ sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f21995]) ).

fof(f21997,plain,
    ( sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21979,f20821]) ).

fof(f21998,plain,
    sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f21997]) ).

fof(f22025,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20828,f21004]) ).

fof(f22027,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f22025]) ).

fof(f22028,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21009,f21950,f21955,f21960,f21962,f21980,f21996,f21998,f22027]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+60 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n014.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 15:07:19 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.21/0.50  % Drodi V4.1.1
% 25.31/3.80  % Refutation found
% 25.31/3.80  % SZS status Theorem for theBenchmark: Theorem is valid
% 25.31/3.80  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 26.20/3.89  % Elapsed time: 3.508502 seconds
% 26.20/3.89  % CPU time: 26.337064 seconds
% 26.20/3.89  % Total memory used: 522.673 MB
% 26.20/3.89  % Net memory used: 509.994 MB
%------------------------------------------------------------------------------