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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR113+18 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.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 6.41s 1.35s
% Output   : CNFRefutation 6.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (  12 unt;   6 def)
%            Number of atoms       :  231 (   0 equ)
%            Maximal formula atoms :  123 (   5 avg)
%            Number of connectives :  259 (  68   ~;  51   |; 134   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  123 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   7 prp; 0-3 aty)
%            Number of functors    :   44 (  44 usr;  44 con; 0-0 aty)
%            Number of variables   :   44 (  34   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
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) ),
    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) ),
    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(stehen_1_1,ge)
    & fact(stehen_1_1,real)
    & sort(stehen_1_1,st)
    & varia(c53,con)
    & refer(c53,det)
    & quant(c53,one)
    & gener(c53,sp)
    & fact(c53,real)
    & etype(c53,int0)
    & card(c53,int1)
    & sort(c53,l)
    & gener(sehen_1_1,ge)
    & fact(sehen_1_1,real)
    & sort(sehen_1_1,dn)
    & gener(c8,sp)
    & fact(c8,real)
    & sort(c8,st)
    & varia(c50,varia_c)
    & refer(c50,det)
    & quant(c50,one)
    & gener(c50,sp)
    & fact(c50,real)
    & etype(c50,int0)
    & card(c50,int1)
    & sort(c50,d)
    & gener(c44,sp)
    & fact(c44,real)
    & sort(c44,dn)
    & 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(c42,varia_c)
    & refer(c42,indet)
    & quant(c42,one)
    & gener(c42,sp)
    & fact(c42,real)
    & etype(c42,int0)
    & card(c42,int1)
    & sort(c42,na)
    & varia(c41,con)
    & refer(c41,det)
    & quant(c41,one)
    & gener(c41,sp)
    & fact(c41,real)
    & etype(c41,int0)
    & card(c41,int1)
    & sort(c41,io)
    & sort(c41,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(c4,con)
    & refer(c4,det)
    & quant(c4,one)
    & gener(c4,sp)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,d)
    & varia(c35,varia_c)
    & refer(c35,refer_c)
    & quant(c35,quant_c)
    & gener(c35,gener_c)
    & fact(c35,real)
    & etype(c35,int2)
    & etype(c35,int1)
    & card(c35,card_c)
    & sort(c35,o)
    & sort(bekannt_1_1,nq)
    & sort(c34,tq)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & subs(c8,stehen_1_1)
    & scar(c8,c4)
    & loc(c8,c53)
    & vor(c53,c41)
    & subs(c44,sehen_1_1)
    & semrel(c44,c8)
    & mexp(c44,c50)
    & val(c42,new_york_0)
    & sub(c42,name_1_1)
    & sub(c41,stadt__1_1)
    & attr(c41,c42)
    & sub(c4,freiheitsstatue_1_1)
    & prop(c4,c34)
    & supl(c34,bekannt_1_1,c35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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) ),
    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) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

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

fof(f20820,plain,
    sub(c4,freiheitsstatue_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    attr(c41,c42),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c42,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    val(c42,new_york_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    loc(c8,c53),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    scar(c8,c4),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    subs(c8,stehen_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20976,definition,
    ! [X0,X1] :
      ( sQ0_spl
    <=> ( ~ val(X1,new_york_0)
        | ~ sub(X1,name_1_1)
        | ~ attr(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f20977,plain,
    ! [X0,X1] :
      ( ~ sQ0_spl
      | ~ val(X1,new_york_0)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f20976]) ).

fof(f20979,definition,
    ! [X2,X3,X4] :
      ( sQ1_spl
    <=> ( ~ subs(X2,stehen_1_1)
        | ~ sub(X4,freiheitsstatue_1_1)
        | ~ scar(X2,X4)
        | ~ loc(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f20980,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ subs(X0,stehen_1_1)
      | ~ sub(X2,freiheitsstatue_1_1)
      | ~ scar(X0,X2)
      | ~ loc(X0,X1) ),
    inference(component_clause,[status(thm)],[f20979]) ).

fof(f20982,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f20976,f20979]) ).

fof(f20983,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ sub(c42,name_1_1)
      | ~ attr(X0,c42) ),
    inference(resolution,[status(thm)],[f20824,f20977]) ).

fof(f20984,definition,
    ! [X0] :
      ( sQ2_spl
    <=> ~ attr(X0,c42) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f20985,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ attr(X0,c42) ),
    inference(component_clause,[status(thm)],[f20984]) ).

fof(f20987,definition,
    ( sQ3_spl
  <=> sub(c42,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f20989,plain,
    ( sQ3_spl
    | ~ sub(c42,name_1_1) ),
    inference(component_clause,[status(thm)],[f20987]) ).

fof(f20990,plain,
    ( ~ sQ0_spl
    | ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f20983,f20984,f20987,f20976]) ).

fof(f20991,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ sub(X1,freiheitsstatue_1_1)
      | ~ scar(c8,X1)
      | ~ loc(c8,X0) ),
    inference(resolution,[status(thm)],[f20831,f20980]) ).

fof(f20992,definition,
    ! [X0] :
      ( sQ4_spl
    <=> ~ loc(c8,X0) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f20993,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ loc(c8,X0) ),
    inference(component_clause,[status(thm)],[f20992]) ).

fof(f20995,definition,
    ! [X1] :
      ( sQ5_spl
    <=> ( ~ sub(X1,freiheitsstatue_1_1)
        | ~ scar(c8,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f20996,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ sub(X0,freiheitsstatue_1_1)
      | ~ scar(c8,X0) ),
    inference(component_clause,[status(thm)],[f20995]) ).

fof(f20998,plain,
    ( ~ sQ1_spl
    | sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f20991,f20992,f20995,f20979]) ).

fof(f21007,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20821,f20985]) ).

fof(f21008,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21007]) ).

fof(f21024,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20823,f20989]) ).

fof(f21025,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21024]) ).

fof(f21027,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20829,f20993]) ).

fof(f21028,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21027]) ).

fof(f21040,plain,
    ( ~ sQ5_spl
    | ~ sub(c4,freiheitsstatue_1_1) ),
    inference(resolution,[status(thm)],[f20996,f20830]) ).

fof(f21041,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21040,f20820]) ).

fof(f21042,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21041]) ).

fof(f21043,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f20982,f20990,f20998,f21008,f21025,f21028,f21042]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+18 : 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 : n026.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 15:05:37 UTC 2026
% 0.02/0.36  % CPUTime  : 
% 0.25/0.49  % Drodi V4.1.1
% 6.41/1.35  % Refutation found
% 6.41/1.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 6.41/1.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.23/1.46  % Elapsed time: 1.089103 seconds
% 4.23/1.46  % CPU time: 6.887593 seconds
% 4.23/1.46  % Total memory used: 460.472 MB
% 4.23/1.46  % Net memory used: 458.380 MB
%------------------------------------------------------------------------------