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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+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 : n009.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 12:13:52 PM UTC 2026

% Result   : Theorem 234.97s 30.19s
% Output   : CNFRefutation 220.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   50 (  12 unt;   6 def)
%            Number of atoms       :  365 (   0 equ)
%            Maximal formula atoms :  209 (   7 avg)
%            Number of connectives :  414 (  99   ~;  80   |; 228   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  209 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   32 (  31 usr;   7 prp; 0-2 aty)
%            Number of functors    :   58 (  58 usr;  57 con; 0-2 aty)
%            Number of variables   :   72 (  60   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
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,rom_0)
      & subs(X4,stehen_1_1)
      & sub(X0,stadt__1_1)
      & sub(X1,name_1_1)
      & scar(X4,X3)
      & loc(X4,X2)
      & attr(X0,X1)
      & in(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4] :
        ( val(X1,rom_0)
        & subs(X4,stehen_1_1)
        & sub(X0,stadt__1_1)
        & sub(X1,name_1_1)
        & scar(X4,X3)
        & loc(X4,X2)
        & attr(X0,X1)
        & in(X2,X0) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(paar_3_1,varia_c)
    & refer(paar_3_1,refer_c)
    & quant(paar_3_1,quant_c)
    & gener(paar_3_1,ge)
    & fact(paar_3_1,real)
    & etype(paar_3_1,int1)
    & card(paar_3_1,card_c)
    & sort(paar_3_1,d)
    & varia(ehe_2_1,varia_c)
    & refer(ehe_2_1,refer_c)
    & quant(ehe_2_1,one)
    & gener(ehe_2_1,ge)
    & fact(ehe_2_1,real)
    & etype(ehe_2_1,int0)
    & card(ehe_2_1,int1)
    & sort(ehe_2_1,re)
    & sort(ehe_2_1,as)
    & gener(erleben_1_1,ge)
    & fact(erleben_1_1,real)
    & sort(erleben_1_1,dn)
    & gener(c31,sp)
    & fact(c31,real)
    & sort(c31,dn)
    & varia(ehepaar_3_1,varia_c)
    & refer(ehepaar_3_1,refer_c)
    & quant(ehepaar_3_1,quant_c)
    & gener(ehepaar_3_1,ge)
    & fact(ehepaar_3_1,real)
    & etype(ehepaar_3_1,int1)
    & card(ehepaar_3_1,card_c)
    & sort(ehepaar_3_1,d)
    & sort(n344gyptisch_1_1,nq)
    & varia(c25,varia_c)
    & refer(c25,indet)
    & quant(c25,one)
    & gener(c25,sp)
    & fact(c25,real)
    & etype(c25,int1)
    & card(c25,int1)
    & sort(c25,d)
    & gener(steigen_1_2,ge)
    & fact(steigen_1_2,real)
    & sort(steigen_1_2,da)
    & gener(wollen_0,gener_c)
    & fact(wollen_0,real)
    & sort(wollen_0,md)
    & varia(c245,con)
    & refer(c245,det)
    & quant(c245,one)
    & gener(c245,sp)
    & fact(c245,real)
    & etype(c245,int0)
    & card(c245,int1)
    & sort(c245,l)
    & varia(c244,con)
    & refer(c244,det)
    & quant(c244,one)
    & gener(c244,sp)
    & fact(c244,real)
    & etype(c244,int0)
    & card(c244,int1)
    & sort(c244,l)
    & varia(c243,varia_c)
    & refer(c243,det)
    & quant(c243,one)
    & gener(c243,sp)
    & fact(c243,real)
    & etype(c243,int0)
    & card(c243,int1)
    & sort(c243,l)
    & gener(c205,sp)
    & fact(c205,real)
    & sort(c205,da)
    & varia(auto__1_1,varia_c)
    & refer(auto__1_1,refer_c)
    & quant(auto__1_1,one)
    & gener(auto__1_1,ge)
    & fact(auto__1_1,real)
    & etype(auto__1_1,int0)
    & card(auto__1_1,int1)
    & sort(auto__1_1,d)
    & sort(rom_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(c197,varia_c)
    & refer(c197,indet)
    & quant(c197,one)
    & gener(c197,sp)
    & fact(c197,real)
    & etype(c197,int0)
    & card(c197,int1)
    & sort(c197,na)
    & varia(c196,con)
    & refer(c196,det)
    & quant(c196,one)
    & gener(c196,sp)
    & fact(c196,real)
    & etype(c196,int0)
    & card(c196,int1)
    & sort(c196,io)
    & sort(c196,d)
    & varia(kolosseum_1_1,con)
    & refer(kolosseum_1_1,det)
    & quant(kolosseum_1_1,one)
    & gener(kolosseum_1_1,sp)
    & fact(kolosseum_1_1,real)
    & etype(kolosseum_1_1,int0)
    & card(kolosseum_1_1,int1)
    & sort(kolosseum_1_1,d)
    & varia(c190,con)
    & refer(c190,det)
    & quant(c190,one)
    & gener(c190,sp)
    & fact(c190,real)
    & etype(c190,int0)
    & card(c190,int1)
    & sort(c190,d)
    & varia(c204,varia_c)
    & refer(c204,det)
    & quant(c204,one)
    & gener(c204,sp)
    & fact(c204,real)
    & etype(c204,int0)
    & card(c204,int1)
    & sort(c204,d)
    & varia(c184,varia_c)
    & refer(c184,det)
    & quant(c184,one)
    & gener(c184,sp)
    & fact(c184,real)
    & etype(c184,int0)
    & card(c184,int1)
    & sort(c184,o)
    & varia(dienstag__1_1,varia_c)
    & refer(dienstag__1_1,refer_c)
    & quant(dienstag__1_1,one)
    & gener(dienstag__1_1,ge)
    & fact(dienstag__1_1,real)
    & etype(dienstag__1_1,int0)
    & card(dienstag__1_1,int1)
    & sort(dienstag__1_1,ta)
    & varia(c15,con)
    & refer(c15,det)
    & quant(c15,one)
    & gener(c15,sp)
    & fact(c15,real)
    & etype(c15,int0)
    & card(c15,int1)
    & sort(c15,ta)
    & varia(n374berraschung_1_1,varia_c)
    & refer(n374berraschung_1_1,refer_c)
    & quant(n374berraschung_1_1,one)
    & gener(n374berraschung_1_1,ge)
    & fact(n374berraschung_1_1,real)
    & etype(n374berraschung_1_1,int0)
    & card(n374berraschung_1_1,int1)
    & sort(n374berraschung_1_1,ad)
    & sort(arglistig_1_1,nq)
    & varia(c10,varia_c)
    & refer(c10,indet)
    & quant(c10,one)
    & gener(c10,sp)
    & fact(c10,real)
    & etype(c10,int0)
    & card(c10,int1)
    & sort(c10,ad)
    & sub(ehepaar_3_1,paar_3_1)
    & assoc(ehepaar_3_1,ehe_2_1)
    & temp(c31,c205)
    & temp(c31,c15)
    & subs(c31,erleben_1_1)
    & obj(c31,c10)
    & exp(c31,c25)
    & sub(c25,ehepaar_3_1)
    & prop(c25,n344gyptisch_1_1)
    & vor(c245,c190)
    & in(c244,c196)
    & in(c243,c204)
    & subs(c205,steigen_1_2)
    & modl(c205,wollen_0)
    & loc(c205,c245)
    & loc(c205,c244)
    & dircl(c205,c243)
    & agt(c205,c184)
    & sub(c204,auto__1_1)
    & val(c197,rom_0)
    & sub(c197,name_1_1)
    & sub(c196,stadt__1_1)
    & attr(c196,c197)
    & sub(c190,kolosseum_1_1)
    & poss(c184,c204)
    & sub(c15,dienstag__1_1)
    & subs(c10,n374berraschung_1_1)
    & prop(c10,arglistig_1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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] :
      ( ~ 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,rom_0)
      | ~ subs(X4,stehen_1_1)
      | ~ sub(X0,stadt__1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X4,X3)
      | ~ loc(X4,X2)
      | ~ attr(X0,X1)
      | ~ in(X2,X0) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X1] :
      ( ~ val(X1,rom_0)
      | ! [X4] :
          ( ~ subs(X4,stehen_1_1)
          | ! [X0] :
              ( ~ sub(X0,stadt__1_1)
              | ~ sub(X1,name_1_1)
              | ! [X3] : ~ scar(X4,X3)
              | ! [X2] :
                  ( ~ loc(X4,X2)
                  | ~ attr(X0,X1)
                  | ~ in(X2,X0) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ loc(X2,X3)
      | ~ sub(X1,stadt__1_1)
      | ~ scar(X2,X4)
      | ~ in(X3,X1)
      | ~ subs(X2,stehen_1_1)
      | ~ attr(X1,X0)
      | ~ sub(X0,name_1_1)
      | ~ val(X0,rom_0) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20823,plain,
    attr(c196,c197),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    sub(c196,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    sub(c197,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    val(c197,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    agt(c205,c184),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    loc(c205,c244),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20835,plain,
    in(c244,c196),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21065,plain,
    ! [X0,X1,X2,X3] :
      ( ~ loc(X1,X2)
      | ~ sub(X0,stadt__1_1)
      | ~ scar(X1,X3)
      | ~ in(X2,X0)
      | ~ subs(X1,stehen_1_1)
      | ~ attr(X0,c197)
      | ~ sub(c197,name_1_1) ),
    inference(resolution,[status(thm)],[f20826,f20817]) ).

fof(f21066,definition,
    ( sQ0_spl
  <=> sub(c197,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21068,plain,
    ( sQ0_spl
    | ~ sub(c197,name_1_1) ),
    inference(component_clause,[status(thm)],[f21066]) ).

fof(f21069,definition,
    ! [X0,X1,X2,X3] :
      ( sQ1_spl
    <=> ( ~ loc(X1,X2)
        | ~ sub(X0,stadt__1_1)
        | ~ scar(X1,X3)
        | ~ in(X2,X0)
        | ~ subs(X1,stehen_1_1)
        | ~ attr(X0,c197) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21070,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ1_spl
      | ~ scar(X1,X3)
      | ~ loc(X1,X2)
      | ~ sub(X0,stadt__1_1)
      | ~ in(X2,X0)
      | ~ subs(X1,stehen_1_1)
      | ~ attr(X0,c197) ),
    inference(component_clause,[status(thm)],[f21069]) ).

fof(f21072,plain,
    ( sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f21065,f21066,f21069]) ).

fof(f21073,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21068,f20825]) ).

fof(f21074,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f21073]) ).

fof(f23054,plain,
    ! [X0,X1,X2] :
      ( ~ sQ1_spl
      | ~ scar(X0,X2)
      | ~ loc(X0,X1)
      | ~ in(X1,c196)
      | ~ subs(X0,stehen_1_1)
      | ~ attr(c196,c197) ),
    inference(resolution,[status(thm)],[f20824,f21070]) ).

fof(f23060,definition,
    ( sQ308_spl
  <=> attr(c196,c197) ),
    introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).

fof(f23062,plain,
    ( sQ308_spl
    | ~ attr(c196,c197) ),
    inference(component_clause,[status(thm)],[f23060]) ).

fof(f23063,definition,
    ! [X0,X1,X2] :
      ( sQ309_spl
    <=> ( ~ scar(X0,X2)
        | ~ loc(X0,X1)
        | ~ in(X1,c196)
        | ~ subs(X0,stehen_1_1) ) ),
    introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).

fof(f23064,plain,
    ! [X0,X1,X2] :
      ( ~ sQ309_spl
      | ~ in(X1,c196)
      | ~ subs(X0,stehen_1_1)
      | ~ scar(X0,X2)
      | ~ loc(X0,X1) ),
    inference(component_clause,[status(thm)],[f23063]) ).

fof(f23066,plain,
    ( ~ sQ1_spl
    | sQ309_spl
    | ~ sQ308_spl ),
    inference(split_clause,[status(thm)],[f23054,f23060,f23063,f21069]) ).

fof(f23078,plain,
    ( sQ308_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f23062,f20823]) ).

fof(f23079,plain,
    sQ308_spl,
    inference(contradiction_clause,[status(thm)],[f23078]) ).

fof(f23081,plain,
    ! [X0,X1] :
      ( ~ sQ309_spl
      | ~ scar(X0,X1)
      | ~ subs(X0,stehen_1_1)
      | ~ loc(X0,c244) ),
    inference(resolution,[status(thm)],[f23064,f20835]) ).

fof(f23093,definition,
    ! [X0] :
      ( sQ313_spl
    <=> ( ~ loc(X0,c244)
        | ~ loc(X0,c244) ) ),
    introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).

fof(f23094,plain,
    ! [X0] :
      ( ~ sQ313_spl
      | ~ loc(X0,c244)
      | ~ loc(X0,c244) ),
    inference(component_clause,[status(thm)],[f23093]) ).

fof(f23101,plain,
    ( ~ sQ313_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20830,f23107]) ).

fof(f23107,plain,
    ! [X0] :
      ( ~ sQ313_spl
      | ~ loc(X0,c244) ),
    inference(duplicate_literals_removal,[status(thm)],[f23094]) ).

fof(f23143,plain,
    ~ sQ313_spl,
    inference(contradiction_clause,[status(thm)],[f23101]) ).

fof(f24672,definition,
    ! [X1] :
      ( sQ486_spl
    <=> ~ agt(c205,X1) ),
    introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).

fof(f24673,plain,
    ! [X0] :
      ( ~ sQ486_spl
      | ~ agt(c205,X0) ),
    inference(component_clause,[status(thm)],[f24672]) ).

fof(f24676,plain,
    ( ~ sQ486_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f20828,f24673]) ).

fof(f24677,plain,
    ~ sQ486_spl,
    inference(contradiction_clause,[status(thm)],[f24676]) ).

fof(f25797,plain,
    ! [X0,X1] :
      ( ~ sQ309_spl
      | ~ subs(sK62_skl(X1,X0),stehen_1_1)
      | ~ loc(sK62_skl(X1,X0),c244)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10804,f23081]) ).

fof(f25801,plain,
    ! [X0,X1] :
      ( ~ sQ309_spl
      | ~ loc(sK62_skl(X1,X0),c244)
      | ~ loc(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f25797,f10805]) ).

fof(f28252,plain,
    ! [X0] :
      ( ~ sQ309_spl
      | ~ loc(X0,c244)
      | ~ loc(X0,c244) ),
    inference(resolution,[status(thm)],[f10803,f25801]) ).

fof(f28262,plain,
    ( ~ sQ309_spl
    | sQ313_spl ),
    inference(split_clause,[status(thm)],[f28252,f23093,f23063]) ).

fof(f28264,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21072,f21074,f23066,f23079,f23143,f24677,f28262]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR114+18 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n009.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Mon Sep 21 15:04:28 UTC 2026
% 0.07/0.36  % CPUTime  : 
% 0.21/0.49  % Drodi V4.1.1
% 234.97/30.19  % Refutation found
% 234.97/30.19  % SZS status Theorem for theBenchmark: Theorem is valid
% 234.97/30.19  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 66.44/30.39  % Elapsed time: 30.013060 seconds
% 66.44/30.39  % CPU time: 236.315201 seconds
% 66.44/30.39  % Total memory used: 985.837 MB
% 66.44/30.39  % Net memory used: 922.987 MB
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