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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+53 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 12:14:01 PM UTC 2026

% Result   : Theorem 16.04s 7.79s
% Output   : CNFRefutation 16.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   60 (  13 unt;   8 def)
%            Number of atoms       :  337 (   0 equ)
%            Maximal formula atoms :  141 (   5 avg)
%            Number of connectives :  393 ( 116   ~;  97   |; 170   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  141 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   35 (  34 usr;   9 prp; 0-3 aty)
%            Number of functors    :   51 (  51 usr;  49 con; 0-2 aty)
%            Number of variables   :   97 (  80   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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,
    ( gener(equ_0,gener_c)
    & fact(equ_0,real)
    & sort(equ_0,st)
    & gener(c855,sp)
    & fact(c855,real)
    & sort(c855,st)
    & varia(einstieg_1_1,varia_c)
    & refer(einstieg_1_1,refer_c)
    & quant(einstieg_1_1,one)
    & gener(einstieg_1_1,ge)
    & fact(einstieg_1_1,real)
    & etype(einstieg_1_1,int0)
    & card(einstieg_1_1,int1)
    & sort(einstieg_1_1,ad)
    & sort(gro__337_1_1,mq)
    & varia(c3,con)
    & refer(c3,det)
    & quant(c3,one)
    & gener(c3,sp)
    & fact(c3,real)
    & etype(c3,int0)
    & card(c3,int1)
    & sort(c3,ad)
    & varia(c1536,con)
    & refer(c1536,det)
    & quant(c1536,one)
    & gener(c1536,sp)
    & fact(c1536,real)
    & etype(c1536,int0)
    & card(c1536,int1)
    & sort(c1536,l)
    & varia(gesellschaft_1_1,varia_c)
    & refer(gesellschaft_1_1,refer_c)
    & quant(gesellschaft_1_1,quant_c)
    & gener(gesellschaft_1_1,ge)
    & fact(gesellschaft_1_1,real)
    & etype(gesellschaft_1_1,int1)
    & card(gesellschaft_1_1,card_c)
    & sort(gesellschaft_1_1,io)
    & sort(britisch__1_1,nq)
    & varia(c1532,varia_c)
    & refer(c1532,indet)
    & quant(c1532,one)
    & gener(c1532,sp)
    & fact(c1532,real)
    & etype(c1532,int1)
    & card(c1532,int1)
    & sort(c1532,io)
    & varia(engagement_1_1,varia_c)
    & refer(engagement_1_1,refer_c)
    & quant(engagement_1_1,one)
    & gener(engagement_1_1,ge)
    & fact(engagement_1_1,real)
    & etype(engagement_1_1,int0)
    & card(engagement_1_1,int1)
    & sort(engagement_1_1,ad)
    & card(zweit_1_1,int2)
    & sort(zweit_1_1,oq)
    & varia(c1524,varia_c)
    & refer(c1524,refer_c)
    & quant(c1524,one)
    & gener(c1524,ge)
    & fact(c1524,real)
    & etype(c1524,int0)
    & card(c1524,int1)
    & sort(c1524,ad)
    & sort(bmw_0,fe)
    & varia(c1517,varia_c)
    & refer(c1517,indet)
    & quant(c1517,one)
    & gener(c1517,sp)
    & fact(c1517,real)
    & etype(c1517,int0)
    & card(c1517,int1)
    & sort(c1517,na)
    & varia(c1516,con)
    & refer(c1516,det)
    & quant(c1516,one)
    & gener(c1516,sp)
    & fact(c1516,real)
    & etype(c1516,int0)
    & card(c1516,int1)
    & sort(c1516,io)
    & sort(c1516,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)
    & 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(c1342,varia_c)
    & refer(c1342,indet)
    & quant(c1342,one)
    & gener(c1342,sp)
    & fact(c1342,real)
    & etype(c1342,int0)
    & card(c1342,int1)
    & sort(c1342,na)
    & varia(c1341,con)
    & refer(c1341,det)
    & quant(c1341,one)
    & gener(c1341,sp)
    & fact(c1341,real)
    & etype(c1341,int0)
    & card(c1341,int1)
    & sort(c1341,io)
    & sort(c1341,d)
    & subr(c855,equ_0)
    & benf(c855,c1516)
    & arg2(c855,c3)
    & arg1(c855,c3)
    & subs(c3,einstieg_1_1)
    & subs(c3,c1524)
    & prop(c3,gro__337_1_1)
    & mode(c3,c1532)
    & loc(c3,c1536)
    & equ(c3,c3)
    & bei(c1536,c1341)
    & sub(c1532,gesellschaft_1_1)
    & prop(c1532,britisch__1_1)
    & pmod(c1524,zweit_1_1,engagement_1_1)
    & val(c1517,bmw_0)
    & sub(c1517,name_1_1)
    & sub(c1516,firma_1_1)
    & attr(c1516,c1517)
    & val(c1342,rover_0)
    & sub(c1342,name_1_1)
    & sub(c1341,firma_1_1)
    & attr(c1341,c1342) ),
    file('/export/starexec/sandbox/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(f20822,plain,
    attr(c1516,c1517),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c1516,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c1517,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    val(c1517,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20994,definition,
    ! [X0,X1,X6] :
      ( sQ0_spl
    <=> ( ~ val(X1,bmw_0)
        | ~ sub(X0,firma_1_1)
        | ~ sub(X1,name_1_1)
        | ~ obj(X6,X0)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f20995,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X2,X0)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20994]) ).

fof(f20997,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ( ~ val(X3,bmw_0)
        | ~ sub(X3,name_1_1)
        | ~ attr(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f20998,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20997]) ).

fof(f21000,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21001,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21000]) ).

fof(f21003,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20994,f20997,f21000]) ).

fof(f21004,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20822,f21001]) ).

fof(f21005,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21004]) ).

fof(f21006,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ0_spl
      | ~ val(X3,bmw_0)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X3,name_1_1)
      | ~ attr(X0,X3)
      | ~ sub(X1,X2)
      | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f10702,f20995]) ).

fof(f21011,definition,
    ( sQ4_spl
  <=> sub(c1517,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21013,plain,
    ( sQ4_spl
    | ~ sub(c1517,name_1_1) ),
    inference(component_clause,[status(thm)],[f21011]) ).

fof(f21015,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21013,f20824]) ).

fof(f21016,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21015]) ).

fof(f21017,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c1517,name_1_1)
      | ~ attr(X0,c1517) ),
    inference(resolution,[status(thm)],[f20998,f20825]) ).

fof(f21018,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c1517) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21019,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c1517) ),
    inference(component_clause,[status(thm)],[f21018]) ).

fof(f21021,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21017,f21018,f21011,f20997]) ).

fof(f21022,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20822,f21019]) ).

fof(f21023,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21022]) ).

fof(f21025,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(c1517,bmw_0)
      | ~ sub(c1516,firma_1_1)
      | ~ sub(c1517,name_1_1)
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c1516,X0) ),
    inference(resolution,[status(thm)],[f20822,f21006]) ).

fof(f21027,definition,
    ! [X0,X1] :
      ( sQ6_spl
    <=> ( ~ sub(X0,X1)
        | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ attr(c1516,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21028,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c1516,X0) ),
    inference(component_clause,[status(thm)],[f21027]) ).

fof(f21030,definition,
    ( sQ7_spl
  <=> sub(c1516,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21032,plain,
    ( sQ7_spl
    | ~ sub(c1516,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21030]) ).

fof(f21034,definition,
    ( sQ8_spl
  <=> val(c1517,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21036,plain,
    ( sQ8_spl
    | ~ val(c1517,bmw_0) ),
    inference(component_clause,[status(thm)],[f21034]) ).

fof(f21037,plain,
    ( ~ sQ0_spl
    | ~ sQ8_spl
    | ~ sQ7_spl
    | ~ sQ4_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f21025,f21027,f21011,f21030,f21034,f20994]) ).

fof(f21042,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21032,f20823]) ).

fof(f21043,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f21042]) ).

fof(f21044,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21036,f20825]) ).

fof(f21045,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f21044]) ).

fof(f21047,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(c1517,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21028,f20822]) ).

fof(f21048,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21047,f20824]) ).

fof(f21050,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f21048,f10194]) ).

fof(f21051,plain,
    ( ~ sQ6_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f21050,f10194]) ).

fof(f21052,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21051,f10191]) ).

fof(f21053,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21052]) ).

fof(f21054,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21003,f21005,f21016,f21021,f21023,f21037,f21043,f21045,f21053]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+53 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.53  % Computer : n008.cluster.edu
% 0.10/5.53  % Model    : x86_64 x86_64
% 0.10/5.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.53  % Memory   : 8046.5625MB
% 0.10/5.53  % OS       : Linux 6.8.0-71-generic
% 0.10/5.53  % CPULimit : 300
% 0.10/5.53  % WCLimit  : 300
% 0.10/5.53  % DateTime : Mon Sep 21 15:08:00 UTC 2026
% 0.10/5.53  % CPUTime  : 
% 0.14/5.66  % Drodi V4.1.1
% 16.04/7.79  % Refutation found
% 16.04/7.79  % SZS status Theorem for theBenchmark: Theorem is valid
% 16.04/7.79  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.84/7.89  % Elapsed time: 2.343658 seconds
% 16.84/7.89  % CPU time: 17.081549 seconds
% 16.84/7.89  % Total memory used: 506.228 MB
% 16.84/7.89  % Net memory used: 495.886 MB
%------------------------------------------------------------------------------