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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+70 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.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 10.31s 11.77s
% Output   : CNFRefutation 11.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   60 (  12 unt;   8 def)
%            Number of atoms       :  270 (   0 equ)
%            Maximal formula atoms :   79 (   4 avg)
%            Number of connectives :  325 ( 115   ~;  92   |; 108   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   79 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   28 (  27 usr;   9 prp; 0-2 aty)
%            Number of functors    :   35 (  35 usr;  33 con; 0-2 aty)
%            Number of variables   :   98 (  81   !;  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,
    ( 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(c41,varia_c)
    & refer(c41,indet)
    & quant(c41,one)
    & gener(c41,sp)
    & fact(c41,real)
    & etype(c41,int0)
    & card(c41,int1)
    & sort(c41,na)
    & varia(c40,con)
    & refer(c40,det)
    & quant(c40,one)
    & gener(c40,sp)
    & fact(c40,real)
    & etype(c40,int0)
    & card(c40,int1)
    & sort(c40,io)
    & sort(c40,d)
    & varia(geschichte_1_1,varia_c)
    & refer(geschichte_1_1,refer_c)
    & quant(geschichte_1_1,one)
    & gener(geschichte_1_1,ge)
    & fact(geschichte_1_1,real)
    & etype(geschichte_1_1,int0)
    & card(geschichte_1_1,int1)
    & sort(geschichte_1_1,io)
    & sort(geschichte_1_1,d)
    & sort(geschichte_1_1,ad)
    & gener(behandeln_1_1,ge)
    & fact(behandeln_1_1,real)
    & sort(behandeln_1_1,st)
    & varia(c25,con)
    & refer(c25,det)
    & quant(c25,one)
    & gener(c25,sp)
    & fact(c25,hypo)
    & etype(c25,int0)
    & card(c25,int1)
    & sort(c25,io)
    & sort(c25,d)
    & sort(c25,ad)
    & varia(c3,varia_c)
    & refer(c3,det)
    & quant(c3,one)
    & gener(c3,sp)
    & fact(c3,real)
    & etype(c3,int0)
    & card(c3,int1)
    & sort(c3,o)
    & gener(c11,sp)
    & fact(c11,real)
    & sort(c11,st)
    & val(c41,bmw_0)
    & sub(c41,name_1_1)
    & sub(c40,firma_1_1)
    & attr(c40,c41)
    & attch(c40,c25)
    & mcont(c3,c25)
    & sub(c25,geschichte_1_1)
    & subs(c11,behandeln_1_1)
    & arg2(c11,c25)
    & arg1(c11,c3) ),
    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(f20824,plain,
    attr(c40,c41),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    sub(c40,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c41,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    val(c41,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20932,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(f20933,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)],[f20932]) ).

fof(f20935,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(f20936,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20935]) ).

fof(f20938,definition,
    ! [X4,X5] :
      ( sQ2_spl
    <=> ~ attr(X4,X5) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f20939,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20938]) ).

fof(f20941,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20932,f20935,f20938]) ).

fof(f20942,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20824,f20939]) ).

fof(f20943,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f20942]) ).

fof(f20949,definition,
    ( sQ4_spl
  <=> sub(c41,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f20951,plain,
    ( sQ4_spl
    | ~ sub(c41,name_1_1) ),
    inference(component_clause,[status(thm)],[f20949]) ).

fof(f20953,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20951,f20826]) ).

fof(f20954,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f20953]) ).

fof(f20955,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c41,name_1_1)
      | ~ attr(X0,c41) ),
    inference(resolution,[status(thm)],[f20936,f20827]) ).

fof(f20956,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c41) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f20957,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c41) ),
    inference(component_clause,[status(thm)],[f20956]) ).

fof(f20959,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f20955,f20956,f20949,f20935]) ).

fof(f20960,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20824,f20957]) ).

fof(f20961,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f20960]) ).

fof(f20962,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(X0,firma_1_1)
      | ~ sub(c41,name_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c41) ),
    inference(resolution,[status(thm)],[f20933,f20827]) ).

fof(f20963,definition,
    ! [X0,X1] :
      ( sQ6_spl
    <=> ( ~ sub(X0,firma_1_1)
        | ~ obj(X1,X0)
        | ~ attr(X0,c41) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f20964,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ sub(X0,firma_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c41) ),
    inference(component_clause,[status(thm)],[f20963]) ).

fof(f20966,plain,
    ( ~ sQ0_spl
    | ~ sQ4_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f20962,f20963,f20949,f20932]) ).

fof(f20969,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(c40,firma_1_1)
      | ~ obj(X0,c40) ),
    inference(resolution,[status(thm)],[f20964,f20824]) ).

fof(f20970,definition,
    ! [X0] :
      ( sQ7_spl
    <=> ~ obj(X0,c40) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f20971,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ obj(X0,c40) ),
    inference(component_clause,[status(thm)],[f20970]) ).

fof(f20973,definition,
    ( sQ8_spl
  <=> sub(c40,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f20975,plain,
    ( sQ8_spl
    | ~ sub(c40,firma_1_1) ),
    inference(component_clause,[status(thm)],[f20973]) ).

fof(f20976,plain,
    ( ~ sQ6_spl
    | ~ sQ8_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f20969,f20970,f20973,f20963]) ).

fof(f20977,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c40,X0) ),
    inference(resolution,[status(thm)],[f20971,f10702]) ).

fof(f20978,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sub(c41,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f20977,f20824]) ).

fof(f20979,plain,
    ( ~ sQ7_spl
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f20978,f20826]) ).

fof(f20986,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20975,f20825]) ).

fof(f20987,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f20986]) ).

fof(f20989,plain,
    ( ~ sQ7_spl
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f20979,f10194]) ).

fof(f20990,plain,
    ( ~ sQ7_spl
    | ~ member(name_1_1,cons(name_1_1,nil)) ),
    inference(resolution,[status(thm)],[f20989,f10194]) ).

fof(f20991,plain,
    ( ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20990,f10191]) ).

fof(f20992,plain,
    ~ sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f20991]) ).

fof(f20993,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20941,f20943,f20954,f20959,f20961,f20966,f20976,f20987,f20992]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR115+70 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/10.32  % Computer : n012.cluster.edu
% 0.03/10.32  % Model    : x86_64 x86_64
% 0.03/10.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.32  % Memory   : 8046.5625MB
% 0.03/10.32  % OS       : Linux 6.8.0-71-generic
% 0.03/10.32  % CPULimit : 300
% 0.03/10.32  % WCLimit  : 300
% 0.03/10.32  % DateTime : Mon Sep 21 15:07:48 UTC 2026
% 0.03/10.32  % CPUTime  : 
% 0.03/10.38  % Drodi V4.1.1
% 10.31/11.77  % Refutation found
% 10.31/11.77  % SZS status Theorem for theBenchmark: Theorem is valid
% 10.31/11.77  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.09/11.84  % Elapsed time: 1.507996 seconds
% 11.09/11.84  % CPU time: 11.180328 seconds
% 11.09/11.84  % Total memory used: 507.846 MB
% 11.09/11.84  % Net memory used: 497.872 MB
%------------------------------------------------------------------------------