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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+35 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 12:13:58 PM UTC 2026

% Result   : Theorem 21.26s 3.42s
% Output   : CNFRefutation 22.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   76 (  16 unt;  10 def)
%            Number of atoms       :  416 (   0 equ)
%            Maximal formula atoms :  167 (   5 avg)
%            Number of connectives :  492 ( 152   ~; 125   |; 202   &)
%                                         (  10 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  167 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   32 (  31 usr;  11 prp; 0-8 aty)
%            Number of functors    :   60 (  60 usr;  58 con; 0-2 aty)
%            Number of variables   :  121 ( 102   !;  19   ?)

% 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(f20,axiom,
    ! [X0,X1] :
      ( card(X0,X1)
     => has_card_leq(X0,X1) ),
    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,X7] :
      ( val(X6,X7)
      & val(X2,bmw_0)
      & val(X1,bmw_0)
      & sub(X6,jahr__1_1)
      & sub(X2,name_1_1)
      & sub(X0,firma_1_1)
      & sub(X1,name_1_1)
      & obj(X4,X0)
      & has_card_leq(X7,int1994)
      & 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,X7] :
        ( val(X6,X7)
        & val(X2,bmw_0)
        & val(X1,bmw_0)
        & sub(X6,jahr__1_1)
        & sub(X2,name_1_1)
        & sub(X0,firma_1_1)
        & sub(X1,name_1_1)
        & obj(X4,X0)
        & has_card_leq(X7,int1994)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(schicht_1_1,varia_c)
    & refer(schicht_1_1,refer_c)
    & quant(schicht_1_1,one)
    & gener(schicht_1_1,ge)
    & fact(schicht_1_1,real)
    & etype(schicht_1_1,int0)
    & card(schicht_1_1,int1)
    & sort(schicht_1_1,d)
    & sort(besonder_1_1,tq)
    & varia(c3626,varia_c)
    & refer(c3626,refer_c)
    & quant(c3626,quant_c)
    & gener(c3626,gener_c)
    & fact(c3626,real)
    & etype(c3626,etype_c)
    & card(c3626,card_c)
    & sort(c3626,ent)
    & varia(nachfrage__1_1,varia_c)
    & refer(nachfrage__1_1,refer_c)
    & quant(nachfrage__1_1,one)
    & gener(nachfrage__1_1,ge)
    & fact(nachfrage__1_1,real)
    & etype(nachfrage__1_1,int0)
    & card(nachfrage__1_1,int1)
    & sort(nachfrage__1_1,ad)
    & sort(zwei_1_1,nq)
    & varia(c3536,con)
    & refer(c3536,det)
    & quant(c3536,one)
    & gener(c3536,sp)
    & fact(c3536,real)
    & etype(c3536,int0)
    & card(c3536,int1)
    & sort(c3536,ad)
    & card(c3529,int1994)
    & sort(c3529,nu)
    & varia(jahr__1_1,varia_c)
    & refer(jahr__1_1,refer_c)
    & quant(jahr__1_1,quant_c)
    & gener(jahr__1_1,ge)
    & fact(jahr__1_1,real)
    & etype(jahr__1_1,etype_c)
    & card(jahr__1_1,card_c)
    & sort(jahr__1_1,ta)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,me)
    & varia(c3532,varia_c)
    & refer(c3532,refer_c)
    & quant(c3532,quant_c)
    & gener(c3532,sp)
    & fact(c3532,real)
    & etype(c3532,etype_c)
    & card(c3532,card_c)
    & sort(c3532,ta)
    & sort(c3532,oa)
    & sort(c3532,me)
    & varia(c3531,con)
    & refer(c3531,det)
    & quant(c3531,one)
    & gener(c3531,sp)
    & fact(c3531,real)
    & etype(c3531,int0)
    & card(c3531,int1)
    & sort(c3531,t)
    & sort(rover_0,fe)
    & varia(c3528,varia_c)
    & refer(c3528,indet)
    & quant(c3528,one)
    & gener(c3528,sp)
    & fact(c3528,real)
    & etype(c3528,int0)
    & card(c3528,int1)
    & sort(c3528,na)
    & varia(c3527,con)
    & refer(c3527,det)
    & quant(c3527,one)
    & gener(c3527,sp)
    & fact(c3527,real)
    & etype(c3527,int0)
    & card(c3527,int1)
    & sort(c3527,io)
    & sort(c3527,d)
    & 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(c3447,varia_c)
    & refer(c3447,indet)
    & quant(c3447,one)
    & gener(c3447,sp)
    & fact(c3447,real)
    & etype(c3447,int0)
    & card(c3447,int1)
    & sort(c3447,na)
    & varia(c3446,con)
    & refer(c3446,det)
    & quant(c3446,one)
    & gener(c3446,sp)
    & fact(c3446,real)
    & etype(c3446,int0)
    & card(c3446,int1)
    & sort(c3446,io)
    & sort(c3446,d)
    & varia(sowohl_2_1,varia_c)
    & refer(sowohl_2_1,refer_c)
    & quant(sowohl_2_1,one)
    & gener(sowohl_2_1,ge)
    & fact(sowohl_2_1,real)
    & etype(sowohl_2_1,int0)
    & card(sowohl_2_1,int1)
    & sort(sowohl_2_1,o)
    & varia(c3346,varia_c)
    & refer(c3346,refer_c)
    & quant(c3346,one)
    & gener(c3346,gener_c)
    & fact(c3346,real)
    & etype(c3346,int0)
    & card(c3346,int1)
    & sort(c3346,o)
    & varia(sonderschicht_1_1,varia_c)
    & refer(sonderschicht_1_1,refer_c)
    & quant(sonderschicht_1_1,one)
    & gener(sonderschicht_1_1,ge)
    & fact(sonderschicht_1_1,real)
    & etype(sonderschicht_1_1,int0)
    & card(sonderschicht_1_1,int1)
    & sort(sonderschicht_1_1,d)
    & varia(c3345,varia_c)
    & refer(c3345,indet)
    & quant(c3345,mult)
    & gener(c3345,gener_c)
    & fact(c3345,real)
    & etype(c3345,int1)
    & card(c3345,cons(x_constant,cons(int1,nil)))
    & sort(c3345,d)
    & sub(sonderschicht_1_1,schicht_1_1)
    & assoc(sonderschicht_1_1,besonder_1_1)
    & tupl_p8(c3626,c3345,c3346,c3446,c3527,c3531,c3536,c3345)
    & subs(c3536,nachfrage__1_1)
    & prop(c3536,zwei_1_1)
    & val(c3532,c3529)
    & sub(c3532,jahr__1_1)
    & attr(c3531,c3532)
    & val(c3528,rover_0)
    & sub(c3528,name_1_1)
    & sub(c3527,firma_1_1)
    & attr(c3527,c3528)
    & val(c3447,bmw_0)
    & sub(c3447,name_1_1)
    & sub(c3446,firma_1_1)
    & attr(c3446,c3447)
    & sub(c3346,sowohl_2_1)
    & pred(c3345,sonderschicht_1_1) ),
    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(f10224,plain,
    ! [X0,X1] :
      ( has_card_leq(X0,X1)
      | ~ card(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f10225,plain,
    ! [X0,X1] :
      ( has_card_leq(X0,X1)
      | ~ card(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10224]) ).

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,X7] :
      ( ~ val(X6,X7)
      | ~ val(X2,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ sub(X6,jahr__1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X4,X0)
      | ~ has_card_leq(X7,int1994)
      | ~ attr(X5,X6)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X6,X7] :
      ( ~ val(X6,X7)
      | ! [X2] :
          ( ~ val(X2,bmw_0)
          | ! [X1] :
              ( ~ val(X1,bmw_0)
              | ~ sub(X6,jahr__1_1)
              | ~ sub(X2,name_1_1)
              | ! [X0] :
                  ( ~ sub(X0,firma_1_1)
                  | ~ sub(X1,name_1_1)
                  | ! [X4] : ~ obj(X4,X0)
                  | ~ has_card_leq(X7,int1994)
                  | ! [X5] : ~ 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,X7] :
      ( ~ val(X5,X6)
      | ~ val(X3,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ sub(X5,jahr__1_1)
      | ~ sub(X3,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ obj(X7,X0)
      | ~ has_card_leq(X6,int1994)
      | ~ attr(X4,X5)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20820,plain,
    attr(c3446,c3447),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    sub(c3446,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    sub(c3447,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    val(c3447,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    attr(c3531,c3532),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    sub(c3532,jahr__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    val(c3532,c3529),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20950,plain,
    card(c3529,int1994),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21020,definition,
    ! [X0,X1,X7] :
      ( sQ0_spl
    <=> ( ~ val(X1,bmw_0)
        | ~ sub(X0,firma_1_1)
        | ~ sub(X1,name_1_1)
        | ~ obj(X7,X0)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21021,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)],[f21020]) ).

fof(f21023,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(f21024,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21023]) ).

fof(f21026,definition,
    ! [X4,X5,X6] :
      ( sQ2_spl
    <=> ( ~ val(X5,X6)
        | ~ sub(X5,jahr__1_1)
        | ~ has_card_leq(X6,int1994)
        | ~ attr(X4,X5) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21027,plain,
    ! [X0,X1,X2] :
      ( ~ sQ2_spl
      | ~ val(X1,X2)
      | ~ sub(X1,jahr__1_1)
      | ~ has_card_leq(X2,int1994)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21026]) ).

fof(f21029,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21020,f21023,f21026]) ).

fof(f21045,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(c3447,name_1_1)
      | ~ attr(X0,c3447) ),
    inference(resolution,[status(thm)],[f21024,f20823]) ).

fof(f21046,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ attr(X0,c3447) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21047,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ attr(X0,c3447) ),
    inference(component_clause,[status(thm)],[f21046]) ).

fof(f21049,definition,
    ( sQ6_spl
  <=> sub(c3447,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21051,plain,
    ( sQ6_spl
    | ~ sub(c3447,name_1_1) ),
    inference(component_clause,[status(thm)],[f21049]) ).

fof(f21052,plain,
    ( ~ sQ1_spl
    | ~ sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f21045,f21046,f21049,f21023]) ).

fof(f21053,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21051,f20822]) ).

fof(f21054,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21053]) ).

fof(f21055,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20820,f21047]) ).

fof(f21056,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21055]) ).

fof(f21057,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ sub(X0,firma_1_1)
      | ~ sub(c3447,name_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c3447) ),
    inference(resolution,[status(thm)],[f21021,f20823]) ).

fof(f21058,definition,
    ! [X0,X1] :
      ( sQ7_spl
    <=> ( ~ sub(X0,firma_1_1)
        | ~ obj(X1,X0)
        | ~ attr(X0,c3447) ) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f21059,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | ~ sub(X0,firma_1_1)
      | ~ obj(X1,X0)
      | ~ attr(X0,c3447) ),
    inference(component_clause,[status(thm)],[f21058]) ).

fof(f21061,plain,
    ( ~ sQ0_spl
    | ~ sQ6_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f21057,f21058,f21049,f21020]) ).

fof(f21062,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | ~ sub(c3446,firma_1_1)
      | ~ obj(X0,c3446) ),
    inference(resolution,[status(thm)],[f20820,f21059]) ).

fof(f21063,definition,
    ! [X0] :
      ( sQ8_spl
    <=> ~ obj(X0,c3446) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f21064,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ obj(X0,c3446) ),
    inference(component_clause,[status(thm)],[f21063]) ).

fof(f21066,definition,
    ( sQ9_spl
  <=> sub(c3446,firma_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f21068,plain,
    ( sQ9_spl
    | ~ sub(c3446,firma_1_1) ),
    inference(component_clause,[status(thm)],[f21066]) ).

fof(f21069,plain,
    ( ~ sQ7_spl
    | ~ sQ9_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f21062,f21063,f21066,f21058]) ).

fof(f21070,plain,
    ( sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21068,f20821]) ).

fof(f21071,plain,
    sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f21070]) ).

fof(f21073,plain,
    ! [X0,X1] :
      ( ~ sQ8_spl
      | ~ sub(X0,X1)
      | ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | ~ attr(c3446,X0) ),
    inference(resolution,[status(thm)],[f10702,f21064]) ).

fof(f21075,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sub(c3447,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f21073,f20820]) ).

fof(f21077,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ sub(c3447,X0) ),
    inference(resolution,[status(thm)],[f21075,f10194]) ).

fof(f21079,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ member(X0,cons(name_1_1,nil))
      | ~ sub(c3447,X0) ),
    inference(resolution,[status(thm)],[f21077,f10194]) ).

fof(f21083,plain,
    ( ~ sQ8_spl
    | ~ sub(c3447,name_1_1) ),
    inference(resolution,[status(thm)],[f21079,f10191]) ).

fof(f21084,plain,
    ( ~ sQ8_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f21083,f21049,f21063]) ).

fof(f21085,plain,
    ! [X0,X1,X2] :
      ( ~ sQ2_spl
      | ~ card(X2,int1994)
      | ~ val(X1,X2)
      | ~ sub(X1,jahr__1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21027,f10225]) ).

fof(f21087,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ val(X1,c3529)
      | ~ sub(X1,jahr__1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f21085,f20950]) ).

fof(f21119,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ sub(c3532,jahr__1_1)
      | ~ attr(X0,c3532) ),
    inference(resolution,[status(thm)],[f21087,f20830]) ).

fof(f21120,definition,
    ! [X0] :
      ( sQ10_spl
    <=> ~ attr(X0,c3532) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f21121,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | ~ attr(X0,c3532) ),
    inference(component_clause,[status(thm)],[f21120]) ).

fof(f21123,definition,
    ( sQ11_spl
  <=> sub(c3532,jahr__1_1) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f21125,plain,
    ( sQ11_spl
    | ~ sub(c3532,jahr__1_1) ),
    inference(component_clause,[status(thm)],[f21123]) ).

fof(f21126,plain,
    ( ~ sQ2_spl
    | ~ sQ11_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f21119,f21120,f21123,f21026]) ).

fof(f21127,plain,
    ( ~ sQ10_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20828,f21121]) ).

fof(f21128,plain,
    ~ sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f21127]) ).

fof(f21129,plain,
    ( sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21125,f20829]) ).

fof(f21130,plain,
    sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f21129]) ).

fof(f21131,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21029,f21052,f21054,f21056,f21061,f21069,f21071,f21084,f21126,f21128,f21130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+35 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n006.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 15:06:12 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.13/0.49  % Drodi V4.1.1
% 21.26/3.42  % Refutation found
% 21.26/3.42  % SZS status Theorem for theBenchmark: Theorem is valid
% 21.26/3.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.71/3.59  % Elapsed time: 3.211249 seconds
% 9.71/3.59  % CPU time: 23.190196 seconds
% 9.71/3.59  % Total memory used: 502.794 MB
% 9.71/3.59  % Net memory used: 495.318 MB
%------------------------------------------------------------------------------