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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+57 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 27.80s 4.14s
% Output   : CNFRefutation 18.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   49 (  11 unt;   5 def)
%            Number of atoms       :  337 (   0 equ)
%            Maximal formula atoms :  198 (   6 avg)
%            Number of connectives :  367 (  79   ~;  60   |; 221   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  198 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   30 (  29 usr;   6 prp; 0-2 aty)
%            Number of functors    :   54 (  54 usr;  52 con; 0-2 aty)
%            Number of variables   :   83 (  68   !;  15   ?)

% 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] :
      ( 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(n374berraschen_1_1,ge)
    & fact(n374berraschen_1_1,real)
    & sort(n374berraschen_1_1,dn)
    & varia(politik_1_1,varia_c)
    & refer(politik_1_1,refer_c)
    & quant(politik_1_1,one)
    & gener(politik_1_1,ge)
    & fact(politik_1_1,real)
    & etype(politik_1_1,int0)
    & card(politik_1_1,int1)
    & sort(politik_1_1,io)
    & sort(politik_1_1,ad)
    & varia(absatz_1_2,varia_c)
    & refer(absatz_1_2,refer_c)
    & quant(absatz_1_2,one)
    & gener(absatz_1_2,ge)
    & fact(absatz_1_2,real)
    & etype(absatz_1_2,int0)
    & card(absatz_1_2,int1)
    & sort(absatz_1_2,ad)
    & sort(unerwartet_1_1,nq)
    & gener(ausl__366sen_1_1,ge)
    & fact(ausl__366sen_1_1,real)
    & sort(ausl__366sen_1_1,dn)
    & varia(c1092,con)
    & refer(c1092,det)
    & quant(c1092,one)
    & gener(c1092,sp)
    & fact(c1092,real)
    & etype(c1092,int0)
    & card(c1092,int1)
    & sort(c1092,l)
    & varia(c975,con)
    & refer(c975,det)
    & quant(c975,one)
    & gener(c975,sp)
    & fact(c975,real)
    & etype(c975,int0)
    & card(c975,int1)
    & sort(c975,ad)
    & gener(c1088,sp)
    & fact(c1088,real)
    & sort(c1088,dn)
    & varia(kontroverse_1_1,varia_c)
    & refer(kontroverse_1_1,refer_c)
    & quant(kontroverse_1_1,one)
    & gener(kontroverse_1_1,ge)
    & fact(kontroverse_1_1,real)
    & etype(kontroverse_1_1,int0)
    & card(kontroverse_1_1,int1)
    & sort(kontroverse_1_1,ad)
    & sort(scharf_1_1,nq)
    & sort(politisch__1_1,tq)
    & varia(c1082,varia_c)
    & refer(c1082,indet)
    & quant(c1082,one)
    & gener(c1082,sp)
    & fact(c1082,real)
    & etype(c1082,int0)
    & card(c1082,int1)
    & sort(c1082,ad)
    & sort(england_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(c1078,varia_c)
    & refer(c1078,indet)
    & quant(c1078,one)
    & gener(c1078,sp)
    & fact(c1078,real)
    & etype(c1078,int0)
    & card(c1078,int1)
    & sort(c1078,na)
    & varia(c1077,con)
    & refer(c1077,det)
    & quant(c1077,one)
    & gener(c1077,sp)
    & fact(c1077,real)
    & etype(c1077,int0)
    & card(c1077,int1)
    & sort(c1077,io)
    & sort(c1077,d)
    & 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(c1071,varia_c)
    & refer(c1071,indet)
    & quant(c1071,one)
    & gener(c1071,sp)
    & fact(c1071,real)
    & etype(c1071,int0)
    & card(c1071,int1)
    & sort(c1071,na)
    & varia(c1070,con)
    & refer(c1070,det)
    & quant(c1070,one)
    & gener(c1070,sp)
    & fact(c1070,real)
    & etype(c1070,int0)
    & card(c1070,int1)
    & sort(c1070,io)
    & sort(c1070,d)
    & sort(rover_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)
    & sort(britisch__1_1,nq)
    & varia(c1001,varia_c)
    & refer(c1001,indet)
    & quant(c1001,one)
    & gener(c1001,sp)
    & fact(c1001,real)
    & etype(c1001,int0)
    & card(c1001,int1)
    & sort(c1001,na)
    & varia(c1000,con)
    & refer(c1000,det)
    & quant(c1000,one)
    & gener(c1000,sp)
    & fact(c1000,real)
    & etype(c1000,int0)
    & card(c1000,int1)
    & sort(c1000,io)
    & sort(c1000,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)
    & chsp1(n374berraschen_1_1,unerwartet_1_1)
    & assoc(politisch__1_1,politik_1_1)
    & subs(c975,absatz_1_2)
    & prop(c975,unerwartet_1_1)
    & ornt(c975,c1070)
    & obj(c975,c1000)
    & cstr(c975,c1082)
    & in(c1092,c1077)
    & subs(c1088,ausl__366sen_1_1)
    & rslt(c1088,c1082)
    & loc(c1088,c1092)
    & cstr(c1088,c975)
    & subs(c1082,kontroverse_1_1)
    & prop(c1082,scharf_1_1)
    & prop(c1082,politisch__1_1)
    & val(c1078,england_0)
    & sub(c1078,name_1_1)
    & sub(c1077,land_1_1)
    & attr(c1077,c1078)
    & val(c1071,bmw_0)
    & sub(c1071,name_1_1)
    & sub(c1070,firma_1_1)
    & attr(c1070,c1071)
    & val(c1001,rover_0)
    & sub(c1001,name_1_1)
    & sub(c1000,autobauer_1_1)
    & prop(c1000,britisch__1_1)
    & attr(c1000,c1001)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,auto__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] :
      ( ~ 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(f20825,plain,
    attr(c1070,c1071),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c1070,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    sub(c1071,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    val(c1071,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21051,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(f21052,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21051]) ).

fof(f21054,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ~ attr(X2,X3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21055,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21054]) ).

fof(f21057,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ( ~ sub(X5,firma_1_1)
        | ~ obj(X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21058,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ sub(X1,firma_1_1)
      | ~ obj(X0,X1) ),
    inference(component_clause,[status(thm)],[f21057]) ).

fof(f21060,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21051,f21054,f21057]) ).

fof(f21063,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ obj(X0,c1070) ),
    inference(resolution,[status(thm)],[f20826,f21058]) ).

fof(f21728,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c1070,X0) ),
    inference(resolution,[status(thm)],[f10702,f21063]) ).

fof(f21732,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ sub(c1071,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21728,f20825]) ).

fof(f21734,plain,
    ( ~ sQ2_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21732,f20827]) ).

fof(f21735,plain,
    ( ~ sQ2_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21734,f10194]) ).

fof(f21736,plain,
    ( ~ sQ2_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21735,f10194]) ).

fof(f21737,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21736,f10191]) ).

fof(f21738,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21737]) ).

fof(f21740,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ val(c1071,bmw_0)
      | ~ attr(X0,c1071) ),
    inference(resolution,[status(thm)],[f21052,f20827]) ).

fof(f21751,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c1071) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21752,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c1071) ),
    inference(component_clause,[status(thm)],[f21751]) ).

fof(f21754,definition,
    ( sQ6_spl
  <=> val(c1071,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21756,plain,
    ( sQ6_spl
    | ~ val(c1071,bmw_0) ),
    inference(component_clause,[status(thm)],[f21754]) ).

fof(f21757,plain,
    ( ~ sQ0_spl
    | ~ sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21740,f21751,f21754,f21051]) ).

fof(f21782,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20825,f21752]) ).

fof(f21783,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21782]) ).

fof(f21784,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21756,f20828]) ).

fof(f21785,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21784]) ).

fof(f21796,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20825,f21055]) ).

fof(f21797,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21796]) ).

fof(f21798,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21060,f21738,f21757,f21783,f21785,f21797]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+57 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  % Computer : n010.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep 21 15:07:27 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.28/0.59  % Drodi V4.1.1
% 27.80/4.14  % Refutation found
% 27.80/4.14  % SZS status Theorem for theBenchmark: Theorem is valid
% 27.80/4.14  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.08/4.23  % Elapsed time: 3.853009 seconds
% 18.08/4.23  % CPU time: 28.374132 seconds
% 18.08/4.23  % Total memory used: 501.494 MB
% 18.08/4.23  % Net memory used: 492.481 MB
%------------------------------------------------------------------------------