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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+28 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 42.83s 6.02s
% Output   : CNFRefutation 3.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   6 unt;   0 def)
%            Number of atoms       :  188 (   0 equ)
%            Maximal formula atoms :  106 (   6 avg)
%            Number of connectives :  206 (  45   ~;  34   |; 125   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (  10 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :   46 (  46 usr;  44 con; 0-2 aty)
%            Number of variables   :   83 (  68   !;  15   ?)

% 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] :
      ( sub(X1,name_1_1)
      & obj(X3,X0)
      & attr(X4,X5)
      & attr(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5] :
        ( sub(X1,name_1_1)
        & obj(X3,X0)
        & attr(X4,X5)
        & attr(X2,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(c75,varia_c)
    & refer(c75,refer_c)
    & quant(c75,quant_c)
    & gener(c75,gener_c)
    & fact(c75,real)
    & etype(c75,etype_c)
    & card(c75,card_c)
    & sort(c75,ent)
    & card(c21,int3)
    & sort(c21,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(c20,int7)
    & sort(c20,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(c24,varia_c)
    & refer(c24,refer_c)
    & quant(c24,quant_c)
    & gener(c24,sp)
    & fact(c24,real)
    & etype(c24,etype_c)
    & card(c24,card_c)
    & sort(c24,ta)
    & sort(c24,oa)
    & sort(c24,me)
    & varia(c23,varia_c)
    & refer(c23,refer_c)
    & quant(c23,quant_c)
    & gener(c23,sp)
    & fact(c23,real)
    & etype(c23,etype_c)
    & card(c23,card_c)
    & sort(c23,ta)
    & sort(c23,oa)
    & sort(c23,me)
    & varia(c22,con)
    & refer(c22,det)
    & quant(c22,one)
    & gener(c22,sp)
    & fact(c22,real)
    & etype(c22,int0)
    & card(c22,int1)
    & sort(c22,t)
    & sort(genf_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(c16,varia_c)
    & refer(c16,indet)
    & quant(c16,one)
    & gener(c16,sp)
    & fact(c16,real)
    & etype(c16,int0)
    & card(c16,int1)
    & sort(c16,na)
    & varia(c15,con)
    & refer(c15,det)
    & quant(c15,one)
    & gener(c15,sp)
    & fact(c15,real)
    & etype(c15,int0)
    & card(c15,int1)
    & sort(c15,io)
    & sort(c15,d)
    & tupl(c75,c15,c22)
    & val(c24,c21)
    & sub(c24,monat_1_1)
    & val(c23,c20)
    & sub(c23,tag_1_1)
    & attr(c22,c24)
    & attr(c22,c23)
    & val(c16,genf_0)
    & sub(c16,name_1_1)
    & sub(c15,stadt__1_1)
    & attr(c15,c16) ),
    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] :
      ( ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
      | obj(sK51_skl(X0),X0)
      | ~ sub(X1,X2)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10700]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sub(X1,name_1_1)
      | ~ obj(X3,X0)
      | ~ attr(X4,X5)
      | ~ attr(X2,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ sub(X1,name_1_1)
      | ! [X0,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] :
      ( ~ obj(X4,X5)
      | ~ sub(X3,name_1_1)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20818,plain,
    attr(c15,c16),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20820,plain,
    sub(c16,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20967,plain,
    ! [X0,X1,X2,X3] :
      ( ~ obj(X2,X3)
      | ~ sub(c16,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f20818,f20817]) ).

fof(f20968,plain,
    ! [X0,X1,X2,X3] :
      ( ~ obj(X2,X3)
      | ~ attr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f20967,f20820]) ).

fof(f22766,plain,
    ! [X0,X1,X2] :
      ( ~ sub(X2,X0)
      | ~ attr(X1,X2)
      | ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f10702,f20968]) ).

fof(f22768,plain,
    ! [X0,X1,X2] :
      ( ~ sub(X2,X0)
      | ~ attr(X1,X2)
      | ~ member(X0,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(resolution,[status(thm)],[f22766,f10194]) ).

fof(f22791,plain,
    ! [X0,X1,X2] :
      ( ~ attr(X2,X0)
      | ~ member(X1,cons(name_1_1,nil))
      | ~ sub(X0,X1) ),
    inference(resolution,[status(thm)],[f22768,f10194]) ).

fof(f22797,plain,
    ! [X0,X1] :
      ( ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f22791,f10191]) ).

fof(f22802,plain,
    ~ sub(c16,name_1_1),
    inference(resolution,[status(thm)],[f22797,f20818]) ).

fof(f22807,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f22802,f20820]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+28 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35  % Computer : n003.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8046.5625MB
% 0.11/0.35  % OS       : Linux 6.8.0-71-generic
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Mon Sep 21 15:08:01 UTC 2026
% 0.11/0.35  % CPUTime  : 
% 0.14/0.48  % Drodi V4.1.1
% 42.83/6.02  % Refutation found
% 42.83/6.02  % SZS status Theorem for theBenchmark: Theorem is valid
% 42.83/6.02  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.24/6.16  % Elapsed time: 5.788927 seconds
% 3.24/6.16  % CPU time: 44.190311 seconds
% 3.24/6.16  % Total memory used: 609.395 MB
% 3.24/6.16  % Net memory used: 568.787 MB
%------------------------------------------------------------------------------