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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 12:13:48 PM UTC 2026

% Result   : Theorem 214.44s 27.61s
% Output   : CNFRefutation 214.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   32 (   9 unt;   0 def)
%            Number of atoms       :  273 (   0 equ)
%            Maximal formula atoms :  164 (   8 avg)
%            Number of connectives :  308 (  67   ~;  54   |; 185   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  164 (  11 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   26 (  25 usr;   1 prp; 0-2 aty)
%            Number of functors    :   51 (  51 usr;  49 con; 0-2 aty)
%            Number of variables   :   61 (  49   !;  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)
      & attr(X2,X1)
      & 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)
        & attr(X2,X1)
        & 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)
    & gener(propr_0,gener_c)
    & fact(propr_0,real)
    & sort(propr_0,st)
    & gener(c54,sp)
    & fact(c54,real)
    & sort(c54,st)
    & sort(new_york_0,fe)
    & varia(c49,varia_c)
    & refer(c49,indet)
    & quant(c49,one)
    & gener(c49,sp)
    & fact(c49,real)
    & etype(c49,int0)
    & card(c49,int1)
    & sort(c49,na)
    & varia(c48,con)
    & refer(c48,det)
    & quant(c48,one)
    & gener(c48,sp)
    & fact(c48,real)
    & etype(c48,int0)
    & card(c48,int1)
    & sort(c48,io)
    & sort(c48,d)
    & varia(c57,con)
    & refer(c57,det)
    & quant(c57,one)
    & gener(c57,sp)
    & fact(c57,real)
    & etype(c57,int0)
    & card(c57,int1)
    & sort(c57,l)
    & varia(c41,con)
    & refer(c41,det)
    & quant(c41,one)
    & gener(c41,sp)
    & fact(c41,real)
    & etype(c41,int0)
    & card(c41,int1)
    & sort(c41,d)
    & varia(gr__366__337e_1_1,varia_c)
    & refer(gr__366__337e_1_1,refer_c)
    & quant(gr__366__337e_1_1,one)
    & gener(gr__366__337e_1_1,ge)
    & fact(gr__366__337e_1_1,real)
    & etype(gr__366__337e_1_1,int0)
    & card(gr__366__337e_1_1,int1)
    & sort(gr__366__337e_1_1,oa)
    & varia(c36,con)
    & refer(c36,det)
    & quant(c36,mult)
    & gener(c36,sp)
    & fact(c36,real)
    & etype(c36,int1)
    & card(c36,cons(x_constant,cons(int1,nil)))
    & sort(c36,oa)
    & sort(gleich_1_1,rq)
    & 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)
    & sort(paris_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(c14,varia_c)
    & refer(c14,indet)
    & quant(c14,one)
    & gener(c14,sp)
    & fact(c14,real)
    & etype(c14,int0)
    & card(c14,int1)
    & sort(c14,na)
    & varia(c13,con)
    & refer(c13,det)
    & quant(c13,one)
    & gener(c13,sp)
    & fact(c13,real)
    & etype(c13,int0)
    & card(c13,int1)
    & sort(c13,io)
    & sort(c13,d)
    & gener(befinden_1_2,ge)
    & fact(befinden_1_2,real)
    & sort(befinden_1_2,st)
    & varia(c18,varia_c)
    & refer(c18,indet)
    & quant(c18,nfquant)
    & gener(c18,sp)
    & fact(c18,real)
    & etype(c18,int1)
    & card(c18,int4)
    & sort(c18,d)
    & varia(c59,con)
    & refer(c59,det)
    & quant(c59,one)
    & gener(c59,sp)
    & fact(c59,real)
    & etype(c59,int0)
    & card(c59,int1)
    & sort(c59,l)
    & gener(c11,sp)
    & fact(c11,real)
    & sort(c11,st)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & in(c59,c13)
    & in(c57,c48)
    & subr(c54,propr_0)
    & instr(c54,c41)
    & assoc(c54,c36)
    & arg2(c54,gleich_1_1)
    & arg1(c54,c18)
    & val(c49,new_york_0)
    & sub(c49,name_1_1)
    & sub(c48,stadt__1_1)
    & attr(c48,c49)
    & sub(c41,freiheitsstatue_1_1)
    & loc(c41,c57)
    & pred(c36,gr__366__337e_1_1)
    & propr(c18,gleich_1_1)
    & pred(c18,freiheitsstatue_1_1)
    & val(c14,paris_0)
    & sub(c14,name_1_1)
    & sub(c13,stadt__1_1)
    & attr(c13,c14)
    & subs(c11,befinden_1_2)
    & scar(c11,c18)
    & loc(c11,c59) ),
    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(X1,X0)
      | loc(sK62_skl(X0,X1),X0) ),
    inference(cnf_transformation,[status(thm)],[f10802]) ).

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

fof(f10805,plain,
    ! [X0,X1] :
      ( ~ loc(X1,X0)
      | subs(sK62_skl(X0,X1),stehen_1_1) ),
    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)
      | ~ attr(X2,X1)
      | ~ 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] :
                      ( ~ attr(X2,X1)
                      | ~ flp(X0,X2) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

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

fof(f20828,plain,
    loc(c41,c57),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    sub(c41,freiheitsstatue_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    attr(c48,c49),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    sub(c49,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    val(c49,new_york_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20839,plain,
    in(c57,c48),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21023,plain,
    ! [X0,X1,X2,X3] :
      ( ~ scar(X0,X3)
      | ~ sub(c49,name_1_1)
      | ~ sub(X3,freiheitsstatue_1_1)
      | ~ attr(X2,c49)
      | ~ flp(X1,X2)
      | ~ subs(X0,stehen_1_1)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f20833,f20817]) ).

fof(f21024,plain,
    ! [X0,X1,X2,X3] :
      ( ~ flp(X3,X1)
      | ~ loc(X2,X3)
      | ~ subs(X2,stehen_1_1)
      | ~ scar(X2,X0)
      | ~ attr(X1,c49)
      | ~ sub(X0,freiheitsstatue_1_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21023,f20832]) ).

fof(f21419,plain,
    ! [X0,X1,X2] :
      ( ~ subs(X0,stehen_1_1)
      | ~ scar(X0,X2)
      | ~ sub(X2,freiheitsstatue_1_1)
      | ~ flp(X1,c48)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f20830,f21024]) ).

fof(f21439,plain,
    ! [X0,X1] :
      ( ~ subs(X1,stehen_1_1)
      | ~ loc(X1,X0)
      | ~ scar(X1,c41)
      | ~ flp(X0,c48) ),
    inference(resolution,[status(thm)],[f20829,f21419]) ).

fof(f21491,plain,
    flp(c57,c48),
    inference(resolution,[status(thm)],[f20839,f10785]) ).

fof(f21492,plain,
    ! [X0] :
      ( ~ loc(X0,c57)
      | ~ subs(X0,stehen_1_1)
      | ~ scar(X0,c41) ),
    inference(resolution,[status(thm)],[f21491,f21439]) ).

fof(f27538,plain,
    ! [X0] :
      ( ~ loc(sK62_skl(X0,c41),c57)
      | ~ subs(sK62_skl(X0,c41),stehen_1_1)
      | ~ loc(c41,X0) ),
    inference(resolution,[status(thm)],[f10804,f21492]) ).

fof(f27541,plain,
    ! [X0] :
      ( ~ loc(c41,X0)
      | ~ loc(sK62_skl(X0,c41),c57) ),
    inference(forward_subsumption_resolution,[status(thm)],[f27538,f10805]) ).

fof(f28383,plain,
    ( ~ loc(c41,c57)
    | ~ loc(c41,c57) ),
    inference(resolution,[status(thm)],[f10803,f27541]) ).

fof(f28420,plain,
    ~ loc(c41,c57),
    inference(duplicate_literals_removal,[status(thm)],[f28383]) ).

fof(f28421,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f28420,f20828]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n002.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 15:05:47 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.23/0.49  % Drodi V4.1.1
% 214.44/27.61  % Refutation found
% 214.44/27.61  % SZS status Theorem for theBenchmark: Theorem is valid
% 214.44/27.61  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.88/28.13  % Elapsed time: 27.755760 seconds
% 12.88/28.13  % CPU time: 216.298921 seconds
% 12.88/28.13  % Total memory used: 984.424 MB
% 12.88/28.13  % Net memory used: 924.860 MB
%------------------------------------------------------------------------------