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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+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 12:13:49 PM UTC 2026

% Result   : Theorem 74.31s 9.95s
% Output   : CNFRefutation 74.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :  244 (   0 equ)
%            Maximal formula atoms :  148 (   7 avg)
%            Number of connectives :  269 (  56   ~;  44   |; 167   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  148 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   1 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;  51 con; 0-2 aty)
%            Number of variables   :   62 (  50   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f176,axiom,
    ! [X0,X1] :
      ( ( bei(X0,X1)
        | an(X0,X1)
        | in(X0,X1) )
     => flp(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f180,axiom,
    ! [X0,X1] :
      ( loc(X0,X1)
     => ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4] :
      ( val(X1,new_york_0)
      & subs(X3,stehen_1_1)
      & sub(X4,freiheitsstatue_1_1)
      & sub(X1,name_1_1)
      & scar(X3,X4)
      & loc(X3,X0)
      & flp(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( val(X1,new_york_0)
        & subs(X3,stehen_1_1)
        & sub(X4,freiheitsstatue_1_1)
        & sub(X1,name_1_1)
        & scar(X3,X4)
        & loc(X3,X0)
        & flp(X0,X2) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(statue_1_1,varia_c)
    & refer(statue_1_1,refer_c)
    & quant(statue_1_1,one)
    & gener(statue_1_1,ge)
    & fact(statue_1_1,real)
    & etype(statue_1_1,int0)
    & card(statue_1_1,int1)
    & sort(statue_1_1,d)
    & varia(freiheit_1_1,varia_c)
    & refer(freiheit_1_1,refer_c)
    & quant(freiheit_1_1,one)
    & gener(freiheit_1_1,ge)
    & fact(freiheit_1_1,real)
    & etype(freiheit_1_1,int0)
    & card(freiheit_1_1,int1)
    & sort(freiheit_1_1,io)
    & sort(freiheit_1_1,as)
    & sort(klein_1_1,mq)
    & sort(new_york_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(c55,varia_c)
    & refer(c55,indet)
    & quant(c55,one)
    & gener(c55,sp)
    & fact(c55,real)
    & etype(c55,int0)
    & card(c55,int1)
    & sort(c55,na)
    & varia(c54,con)
    & refer(c54,det)
    & quant(c54,one)
    & gener(c54,sp)
    & fact(c54,real)
    & etype(c54,int0)
    & card(c54,int1)
    & sort(c54,io)
    & sort(c54,d)
    & varia(bootshafen_1_1,varia_c)
    & refer(bootshafen_1_1,refer_c)
    & quant(bootshafen_1_1,one)
    & gener(bootshafen_1_1,ge)
    & fact(bootshafen_1_1,real)
    & etype(bootshafen_1_1,int0)
    & card(bootshafen_1_1,int1)
    & sort(bootshafen_1_1,d)
    & varia(c49,con)
    & refer(c49,det)
    & quant(c49,one)
    & gener(c49,sp)
    & fact(c49,real)
    & etype(c49,int0)
    & card(c49,int1)
    & sort(c49,d)
    & varia(freiheitsstatue_1_1,varia_c)
    & refer(freiheitsstatue_1_1,refer_c)
    & quant(freiheitsstatue_1_1,one)
    & gener(freiheitsstatue_1_1,ge)
    & fact(freiheitsstatue_1_1,real)
    & etype(freiheitsstatue_1_1,int0)
    & card(freiheitsstatue_1_1,int1)
    & sort(freiheitsstatue_1_1,d)
    & varia(c58,con)
    & refer(c58,det)
    & quant(c58,one)
    & gener(c58,sp)
    & fact(c58,real)
    & etype(c58,int0)
    & card(c58,int1)
    & sort(c58,l)
    & varia(c44,con)
    & refer(c44,det)
    & quant(c44,one)
    & gener(c44,sp)
    & fact(c44,real)
    & etype(c44,int0)
    & card(c44,int1)
    & sort(c44,d)
    & varia(figur_1_1,varia_c)
    & refer(figur_1_1,refer_c)
    & quant(figur_1_1,one)
    & gener(figur_1_1,ge)
    & fact(figur_1_1,real)
    & etype(figur_1_1,int0)
    & card(figur_1_1,int1)
    & sort(figur_1_1,d)
    & gener(meter_1_1,ge)
    & sort(meter_1_1,me)
    & card(c25,int5)
    & sort(c25,nu)
    & gener(prop_0,gener_c)
    & fact(prop_0,real)
    & sort(prop_0,st)
    & varia(c39,con)
    & refer(c39,refer_c)
    & quant(c39,quant_c)
    & gener(c39,gener_c)
    & fact(c39,real)
    & etype(c39,etype_c)
    & card(c39,card_c)
    & sort(c39,m)
    & sort(c39,co)
    & sort(c56,tq)
    & varia(c4,con)
    & refer(c4,det)
    & quant(c4,one)
    & gener(c4,sp)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,d)
    & gener(c23,sp)
    & fact(c23,real)
    & sort(c23,st)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & in(c58,c49)
    & comp(c56,klein_1_1,c44)
    & val(c55,new_york_0)
    & sub(c55,name_1_1)
    & sub(c54,stadt__1_1)
    & attr(c54,c55)
    & attch(c54,c49)
    & sub(c49,bootshafen_1_1)
    & sub(c44,freiheitsstatue_1_1)
    & loc(c44,c58)
    & sub(c4,figur_1_1)
    & prop(c4,c56)
    & quant_p3(c39,c25,meter_1_1)
    & subr(c23,prop_0)
    & assoc(c23,c39)
    & arg2(c23,c56)
    & arg1(c23,c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10784,plain,
    ! [X0,X1] :
      ( flp(X0,X1)
      | ( ~ bei(X0,X1)
        & ~ an(X0,X1)
        & ~ in(X0,X1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f176]) ).

fof(f10785,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | flp(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10784]) ).

fof(f10801,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subs(X2,stehen_1_1)
          & scar(X2,X0)
          & loc(X2,X1) )
      | ~ loc(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f180]) ).

fof(f10802,plain,
    ! [X0,X1] :
      ( ( subs(sK62_skl(X1,X0),stehen_1_1)
        & scar(sK62_skl(X1,X0),X0)
        & loc(sK62_skl(X1,X0),X1) )
      | ~ loc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK62_skl]),skolemize(X2,sK62_skl(X1,X0))],[f10801]) ).

fof(f10803,plain,
    ! [X0,X1] :
      ( loc(sK62_skl(X1,X0),X1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f10804,plain,
    ! [X0,X1] :
      ( scar(sK62_skl(X1,X0),X0)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f10805,plain,
    ! [X0,X1] :
      ( subs(sK62_skl(X1,X0),stehen_1_1)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ val(X1,new_york_0)
      | ~ subs(X3,stehen_1_1)
      | ~ sub(X4,freiheitsstatue_1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X3,X4)
      | ~ loc(X3,X0)
      | ~ flp(X0,X2) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,new_york_0)
      | ! [X3] :
          ( ~ subs(X3,stehen_1_1)
          | ! [X4] :
              ( ~ sub(X4,freiheitsstatue_1_1)
              | ~ sub(X1,name_1_1)
              | ~ scar(X3,X4)
              | ! [X0] :
                  ( ~ loc(X3,X0)
                  | ! [X2] : ~ flp(X0,X2) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X3,freiheitsstatue_1_1)
      | ~ subs(X0,stehen_1_1)
      | ~ flp(X1,X4)
      | ~ scar(X0,X3)
      | ~ sub(X2,name_1_1)
      | ~ val(X2,new_york_0)
      | ~ loc(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20825,plain,
    loc(c44,c58),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c44,freiheitsstatue_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    sub(c55,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    val(c55,new_york_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    in(c58,c49),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21003,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sub(X2,freiheitsstatue_1_1)
      | ~ subs(X0,stehen_1_1)
      | ~ flp(X1,X3)
      | ~ scar(X0,X2)
      | ~ val(c55,new_york_0)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f20831,f20817]) ).

fof(f21006,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sub(X1,freiheitsstatue_1_1)
      | ~ loc(X0,X2)
      | ~ subs(X0,stehen_1_1)
      | ~ flp(X2,X3)
      | ~ scar(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21003,f20832]) ).

fof(f21044,plain,
    subs(sK62_skl(c58,c44),stehen_1_1),
    inference(resolution,[status(thm)],[f20825,f10805]) ).

fof(f21045,plain,
    ! [X0,X1,X2] :
      ( ~ flp(X1,X2)
      | ~ loc(sK62_skl(c58,c44),X1)
      | ~ scar(sK62_skl(c58,c44),X0)
      | ~ sub(X0,freiheitsstatue_1_1) ),
    inference(resolution,[status(thm)],[f21044,f21006]) ).

fof(f21097,plain,
    flp(c58,c49),
    inference(resolution,[status(thm)],[f20834,f10785]) ).

fof(f21259,plain,
    ! [X0,X1] :
      ( ~ loc(sK62_skl(c58,c44),X0)
      | ~ scar(sK62_skl(c58,c44),c44)
      | ~ flp(X0,X1) ),
    inference(resolution,[status(thm)],[f20826,f21045]) ).

fof(f21266,plain,
    ! [X0,X1] :
      ( ~ loc(c44,c58)
      | ~ loc(sK62_skl(c58,c44),X0)
      | ~ flp(X0,X1) ),
    inference(resolution,[status(thm)],[f21259,f10804]) ).

fof(f21267,plain,
    ! [X0,X1] :
      ( ~ flp(X0,X1)
      | ~ loc(sK62_skl(c58,c44),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21266,f20825]) ).

fof(f21268,plain,
    ~ loc(sK62_skl(c58,c44),c58),
    inference(resolution,[status(thm)],[f21267,f21097]) ).

fof(f21269,plain,
    ~ loc(c44,c58),
    inference(resolution,[status(thm)],[f21268,f10803]) ).

fof(f21271,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21269,f20825]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+28 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n003.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 15:05:17 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.42  % Drodi V4.1.1
% 74.31/9.95  % Refutation found
% 74.31/9.95  % SZS status Theorem for theBenchmark: Theorem is valid
% 74.31/9.95  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.45/10.08  % Elapsed time: 9.707759 seconds
% 21.45/10.08  % CPU time: 75.842915 seconds
% 21.45/10.08  % Total memory used: 613.922 MB
% 21.45/10.08  % Net memory used: 581.958 MB
%------------------------------------------------------------------------------