↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+27 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/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 12:13:57 PM UTC 2026

% Result   : Theorem 90.11s 11.97s
% Output   : CNFRefutation 90.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   40 (  12 unt;   0 def)
%            Number of atoms       :  383 (   0 equ)
%            Maximal formula atoms :  244 (   9 avg)
%            Number of connectives :  426 (  83   ~;  67   |; 273   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  244 (  13 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-7 aty)
%            Number of functors    :   71 (  71 usr;  69 con; 0-2 aty)
%            Number of variables   :  108 (  89   !;  19   ?)

% 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(f20,axiom,
    ! [X0,X1] :
      ( card(X0,X1)
     => has_card_leq(X0,X1) ),
    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,X6,X7] :
      ( val(X6,X7)
      & sub(X6,jahr__1_1)
      & sub(X2,name_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/sandbox2/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( val(X6,X7)
        & sub(X6,jahr__1_1)
        & sub(X2,name_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(gewinn_1_1,varia_c)
    & refer(gewinn_1_1,refer_c)
    & quant(gewinn_1_1,one)
    & gener(gewinn_1_1,ge)
    & fact(gewinn_1_1,real)
    & etype(gewinn_1_1,int0)
    & card(gewinn_1_1,int1)
    & sort(gewinn_1_1,d)
    & gener(million_1_1,ge)
    & sort(million_1_1,me)
    & card(c92,int697)
    & sort(c92,nu)
    & gener(hundertstel__1_1,ge)
    & sort(hundertstel__1_1,me)
    & card(c86,int35)
    & sort(c86,nu)
    & card(c80,int1994)
    & sort(c80,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(c85,varia_c)
    & refer(c85,refer_c)
    & quant(c85,quant_c)
    & gener(c85,sp)
    & fact(c85,real)
    & etype(c85,etype_c)
    & card(c85,card_c)
    & sort(c85,ta)
    & sort(c85,oa)
    & sort(c85,me)
    & varia(konzerngewinn_1_1,varia_c)
    & refer(konzerngewinn_1_1,refer_c)
    & quant(konzerngewinn_1_1,one)
    & gener(konzerngewinn_1_1,ge)
    & fact(konzerngewinn_1_1,real)
    & etype(konzerngewinn_1_1,int0)
    & card(konzerngewinn_1_1,int1)
    & sort(konzerngewinn_1_1,d)
    & varia(firmengruppe_1_1,varia_c)
    & refer(firmengruppe_1_1,refer_c)
    & quant(firmengruppe_1_1,one)
    & gener(firmengruppe_1_1,ge)
    & fact(firmengruppe_1_1,real)
    & etype(firmengruppe_1_1,int0)
    & card(firmengruppe_1_1,int1)
    & sort(firmengruppe_1_1,io)
    & sort(firmengruppe_1_1,d)
    & varia(bmw_1_1,varia_c)
    & refer(bmw_1_1,refer_c)
    & quant(bmw_1_1,one)
    & gener(bmw_1_1,ge)
    & fact(bmw_1_1,real)
    & etype(bmw_1_1,int0)
    & card(bmw_1_1,int1)
    & sort(bmw_1_1,d)
    & varia(c47,varia_c)
    & refer(c47,refer_c)
    & quant(c47,quant_c)
    & gener(c47,gener_c)
    & fact(c47,real)
    & etype(c47,etype_c)
    & card(c47,card_c)
    & sort(c47,ent)
    & gener(mark_1_1,ge)
    & sort(mark_1_1,me)
    & fact(c324,real)
    & sort(c324,me)
    & varia(c95,con)
    & refer(c95,refer_c)
    & quant(c95,quant_c)
    & gener(c95,gener_c)
    & fact(c95,real)
    & etype(c95,etype_c)
    & card(c95,card_c)
    & sort(c95,m)
    & sort(c95,co)
    & varia(c91,con)
    & refer(c91,refer_c)
    & quant(c91,quant_c)
    & gener(c91,gener_c)
    & fact(c91,real)
    & etype(c91,etype_c)
    & card(c91,card_c)
    & sort(c91,m)
    & sort(c91,co)
    & varia(c84,con)
    & refer(c84,det)
    & quant(c84,one)
    & gener(c84,sp)
    & fact(c84,real)
    & etype(c84,int0)
    & card(c84,int1)
    & sort(c84,t)
    & varia(c79,con)
    & refer(c79,det)
    & quant(c79,one)
    & gener(c79,sp)
    & fact(c79,real)
    & etype(c79,int0)
    & card(c79,int1)
    & sort(c79,d)
    & varia(c72,varia_c)
    & refer(c72,refer_c)
    & quant(c72,one)
    & gener(c72,gener_c)
    & fact(c72,real)
    & etype(c72,int0)
    & card(c72,int1)
    & sort(c72,io)
    & sort(c72,d)
    & varia(c68,con)
    & refer(c68,det)
    & quant(c68,one)
    & gener(c68,sp)
    & fact(c68,real)
    & etype(c68,int0)
    & card(c68,int1)
    & sort(c68,d)
    & varia(c319,varia_c)
    & refer(c319,refer_c)
    & quant(c319,quant_c)
    & gener(c319,gener_c)
    & fact(c319,real)
    & etype(c319,etype_c)
    & card(c319,card_c)
    & sort(c319,ent)
    & card(c17,int3)
    & sort(c17,nu)
    & varia(monat_1_1,varia_c)
    & refer(monat_1_1,refer_c)
    & quant(monat_1_1,quant_c)
    & gener(monat_1_1,ge)
    & fact(monat_1_1,real)
    & etype(monat_1_1,etype_c)
    & card(monat_1_1,card_c)
    & sort(monat_1_1,ta)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,me)
    & card(c16,int16)
    & sort(c16,nu)
    & varia(tag_1_1,varia_c)
    & refer(tag_1_1,refer_c)
    & quant(tag_1_1,quant_c)
    & gener(tag_1_1,ge)
    & fact(tag_1_1,real)
    & etype(tag_1_1,etype_c)
    & card(tag_1_1,card_c)
    & sort(tag_1_1,ta)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,me)
    & varia(c20,varia_c)
    & refer(c20,refer_c)
    & quant(c20,quant_c)
    & gener(c20,sp)
    & fact(c20,real)
    & etype(c20,etype_c)
    & card(c20,card_c)
    & sort(c20,ta)
    & sort(c20,oa)
    & sort(c20,me)
    & varia(c19,varia_c)
    & refer(c19,refer_c)
    & quant(c19,quant_c)
    & gener(c19,sp)
    & fact(c19,real)
    & etype(c19,etype_c)
    & card(c19,card_c)
    & sort(c19,ta)
    & sort(c19,oa)
    & sort(c19,me)
    & varia(c18,con)
    & refer(c18,det)
    & quant(c18,one)
    & gener(c18,sp)
    & fact(c18,real)
    & etype(c18,int0)
    & card(c18,int1)
    & sort(c18,t)
    & sort(m__374nchen_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(stadt__1_1,varia_c)
    & refer(stadt__1_1,refer_c)
    & quant(stadt__1_1,one)
    & gener(stadt__1_1,ge)
    & fact(stadt__1_1,real)
    & etype(stadt__1_1,int0)
    & card(stadt__1_1,int1)
    & sort(stadt__1_1,io)
    & sort(stadt__1_1,d)
    & varia(c12,varia_c)
    & refer(c12,indet)
    & quant(c12,one)
    & gener(c12,sp)
    & fact(c12,real)
    & etype(c12,int0)
    & card(c12,int1)
    & sort(c12,na)
    & varia(c11,con)
    & refer(c11,det)
    & quant(c11,one)
    & gener(c11,sp)
    & fact(c11,real)
    & etype(c11,int0)
    & card(c11,int1)
    & sort(c11,io)
    & sort(c11,d)
    & sub(konzerngewinn_1_1,gewinn_1_1)
    & assoc(konzerngewinn_1_1,firmengruppe_1_1)
    & quant_p3(c95,c92,million_1_1)
    & quant_p3(c91,c86,hundertstel__1_1)
    & val(c85,c80)
    & sub(c85,jahr__1_1)
    & attr(c84,c85)
    & sub(c79,konzerngewinn_1_1)
    & sub(c72,firmengruppe_1_1)
    & sub(c68,bmw_1_1)
    & tupl(c47,c11,c18)
    & sub(c324,mark_1_1)
    & tupl_p7(c319,c68,c72,c79,c84,c91,c95)
    & val(c20,c17)
    & sub(c20,monat_1_1)
    & val(c19,c16)
    & sub(c19,tag_1_1)
    & attr(c18,c20)
    & attr(c18,c19)
    & val(c12,m__374nchen_0)
    & sub(c12,name_1_1)
    & sub(c11,stadt__1_1)
    & attr(c11,c12) ),
    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(f10224,plain,
    ! [X0,X1] :
      ( has_card_leq(X0,X1)
      | ~ card(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f10225,plain,
    ! [X0,X1] :
      ( ~ card(X0,X1)
      | has_card_leq(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] :
      ( ~ sub(X1,X2)
      | obj(sK51_skl(X0),X0)
      | ~ 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)
      | ~ sub(X6,jahr__1_1)
      | ~ sub(X2,name_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)
      | ~ sub(X6,jahr__1_1)
      | ! [X2] :
          ( ~ sub(X2,name_1_1)
          | ! [X1] :
              ( ~ sub(X1,name_1_1)
              | ! [X0] :
                  ( ! [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] :
      ( ~ attr(X7,X0)
      | ~ sub(X2,name_1_1)
      | ~ has_card_leq(X5,int1994)
      | ~ sub(X4,name_1_1)
      | ~ obj(X6,X1)
      | ~ val(X0,X5)
      | ~ attr(X3,X4)
      | ~ attr(X1,X2)
      | ~ sub(X0,jahr__1_1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20818,plain,
    attr(c11,c12),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c12,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    attr(c84,c85),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20835,plain,
    sub(c85,jahr__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20836,plain,
    val(c85,c80),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21045,plain,
    card(c80,int1994),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21099,plain,
    has_card_leq(c80,int1994),
    inference(resolution,[status(thm)],[f21045,f10225]) ).

fof(f21143,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ attr(X5,c12)
      | ~ attr(X4,X0)
      | ~ sub(X0,jahr__1_1)
      | ~ has_card_leq(X1,int1994)
      | ~ attr(X3,c12)
      | ~ obj(X2,X3)
      | ~ val(X0,X1) ),
    inference(resolution,[status(thm)],[f20820,f20817]) ).

fof(f24815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X2,jahr__1_1)
      | ~ attr(X4,X2)
      | ~ obj(X3,X1)
      | ~ val(X2,X0)
      | ~ attr(X1,c12)
      | ~ has_card_leq(X0,int1994) ),
    inference(resolution,[status(thm)],[f20818,f21143]) ).

fof(f24817,plain,
    ! [X0,X1,X2,X3] :
      ( ~ attr(X3,X1)
      | ~ val(X1,X2)
      | ~ has_card_leq(X2,int1994)
      | ~ sub(X1,jahr__1_1)
      | ~ obj(X0,c11) ),
    inference(resolution,[status(thm)],[f24815,f20818]) ).

fof(f24818,plain,
    ! [X0,X1,X2] :
      ( ~ obj(X2,c11)
      | ~ val(X1,c80)
      | ~ sub(X1,jahr__1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f24817,f21099]) ).

fof(f24825,plain,
    ! [X0,X1] :
      ( ~ obj(X1,c11)
      | ~ val(c85,c80)
      | ~ attr(X0,c85) ),
    inference(resolution,[status(thm)],[f24818,f20835]) ).

fof(f24826,plain,
    ! [X0,X1] :
      ( ~ attr(X1,c85)
      | ~ obj(X0,c11) ),
    inference(forward_subsumption_resolution,[status(thm)],[f24825,f20836]) ).

fof(f24827,plain,
    ! [X0] : ~ obj(X0,c11),
    inference(resolution,[status(thm)],[f24826,f20834]) ).

fof(f25273,plain,
    ! [X0,X1] :
      ( ~ sub(X1,X0)
      | ~ attr(c11,X1)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f24827,f10702]) ).

fof(f25280,plain,
    ! [X0] :
      ( ~ sub(c12,X0)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(resolution,[status(thm)],[f25273,f20818]) ).

fof(f25338,plain,
    ! [X0] :
      ( ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil)))
      | ~ sub(c12,X0) ),
    inference(resolution,[status(thm)],[f25280,f10194]) ).

fof(f25368,plain,
    ! [X0] :
      ( ~ member(X0,cons(name_1_1,nil))
      | ~ sub(c12,X0) ),
    inference(resolution,[status(thm)],[f25338,f10194]) ).

fof(f25371,plain,
    ~ sub(c12,name_1_1),
    inference(resolution,[status(thm)],[f25368,f10191]) ).

fof(f25372,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f25371,f20820]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+27 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n014.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 15:06:04 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.20/0.55  % Drodi V4.1.1
% 90.11/11.97  % Refutation found
% 90.11/11.97  % SZS status Theorem for theBenchmark: Theorem is valid
% 90.11/11.97  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.00/12.09  % Elapsed time: 11.697828 seconds
% 6.00/12.09  % CPU time: 90.961134 seconds
% 6.00/12.09  % Total memory used: 677.859 MB
% 6.00/12.09  % Net memory used: 622.638 MB
%------------------------------------------------------------------------------