↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+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 : n005.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 19.05s 3.00s
% Output   : CNFRefutation 19.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  14 unt;   6 def)
%            Number of atoms       :  397 (   0 equ)
%            Maximal formula atoms :  243 (   7 avg)
%            Number of connectives :  431 (  85   ~;  75   |; 264   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  243 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   31 (  30 usr;   7 prp; 0-2 aty)
%            Number of functors    :   67 (  67 usr;  65 con; 0-2 aty)
%            Number of variables   :   54 (  42   !;  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(X3,kolosseum_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(X3,kolosseum_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,
    ( gener(zelebrieren_1_1,ge)
    & fact(zelebrieren_1_1,real)
    & sort(zelebrieren_1_1,da)
    & varia(weg_1_1,varia_c)
    & refer(weg_1_1,refer_c)
    & quant(weg_1_1,one)
    & gener(weg_1_1,ge)
    & fact(weg_1_1,real)
    & etype(weg_1_1,int0)
    & card(weg_1_1,int1)
    & sort(weg_1_1,d)
    & varia(kreuz_1_1,varia_c)
    & refer(kreuz_1_1,refer_c)
    & quant(kreuz_1_1,one)
    & gener(kreuz_1_1,ge)
    & fact(kreuz_1_1,real)
    & etype(kreuz_1_1,int0)
    & card(kreuz_1_1,int1)
    & sort(kreuz_1_1,io)
    & sort(kreuz_1_1,d)
    & varia(gl__344ubig_2_1,varia_c)
    & refer(gl__344ubig_2_1,refer_c)
    & quant(gl__344ubig_2_1,one)
    & gener(gl__344ubig_2_1,ge)
    & fact(gl__344ubig_2_1,real)
    & etype(gl__344ubig_2_1,int0)
    & card(gl__344ubig_2_1,int1)
    & sort(gl__344ubig_2_1,o)
    & varia(c9,varia_c)
    & refer(c9,indet)
    & quant(c9,mult)
    & gener(c9,gener_c)
    & fact(c9,real)
    & etype(c9,int1)
    & card(c9,cons(x_constant,cons(int1,nil)))
    & sort(c9,o)
    & varia(kreuzung_1_1,varia_c)
    & refer(kreuzung_1_1,refer_c)
    & quant(kreuzung_1_1,one)
    & gener(kreuzung_1_1,ge)
    & fact(kreuzung_1_1,real)
    & etype(kreuzung_1_1,int0)
    & card(kreuzung_1_1,int1)
    & sort(kreuzung_1_1,d)
    & sort(althergebracht_1_1,nq)
    & 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(c148,varia_c)
    & refer(c148,indet)
    & quant(c148,one)
    & gener(c148,sp)
    & fact(c148,real)
    & etype(c148,int0)
    & card(c148,int1)
    & sort(c148,na)
    & varia(c147,con)
    & refer(c147,det)
    & quant(c147,one)
    & gener(c147,sp)
    & fact(c147,real)
    & etype(c147,int0)
    & card(c147,int1)
    & sort(c147,io)
    & sort(c147,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(c169,con)
    & refer(c169,det)
    & quant(c169,one)
    & gener(c169,sp)
    & fact(c169,real)
    & etype(c169,int0)
    & card(c169,int1)
    & sort(c169,l)
    & varia(c140,con)
    & refer(c140,det)
    & quant(c140,one)
    & gener(c140,sp)
    & fact(c140,real)
    & etype(c140,int0)
    & card(c140,int1)
    & sort(c140,d)
    & varia(freiertag_1_1,varia_c)
    & refer(freiertag_1_1,refer_c)
    & quant(freiertag_1_1,one)
    & gener(freiertag_1_1,ge)
    & fact(freiertag_1_1,real)
    & etype(freiertag_1_1,int0)
    & card(freiertag_1_1,int1)
    & sort(freiertag_1_1,ta)
    & sort(paul_0,fe)
    & varia(familiename_1_1,varia_c)
    & refer(familiename_1_1,refer_c)
    & quant(familiename_1_1,one)
    & gener(familiename_1_1,ge)
    & fact(familiename_1_1,real)
    & etype(familiename_1_1,int0)
    & card(familiename_1_1,int1)
    & sort(familiename_1_1,na)
    & sort(johannes_0,fe)
    & varia(eigenname_1_1,varia_c)
    & refer(eigenname_1_1,refer_c)
    & quant(eigenname_1_1,one)
    & gener(eigenname_1_1,ge)
    & fact(eigenname_1_1,real)
    & etype(eigenname_1_1,int0)
    & card(eigenname_1_1,int1)
    & sort(eigenname_1_1,na)
    & varia(kirchenf__374rst_1_1,varia_c)
    & refer(kirchenf__374rst_1_1,refer_c)
    & quant(kirchenf__374rst_1_1,one)
    & gener(kirchenf__374rst_1_1,ge)
    & fact(kirchenf__374rst_1_1,real)
    & etype(kirchenf__374rst_1_1,int0)
    & card(kirchenf__374rst_1_1,int1)
    & sort(kirchenf__374rst_1_1,d)
    & varia(c129,varia_c)
    & refer(c129,det)
    & quant(c129,one)
    & gener(c129,sp)
    & fact(c129,real)
    & etype(c129,int0)
    & card(c129,int1)
    & sort(c129,na)
    & varia(c128,varia_c)
    & refer(c128,indet)
    & quant(c128,one)
    & gener(c128,sp)
    & fact(c128,real)
    & etype(c128,int0)
    & card(c128,int1)
    & sort(c128,na)
    & varia(c135,con)
    & refer(c135,det)
    & quant(c135,one)
    & gener(c135,sp)
    & fact(c135,real)
    & etype(c135,int0)
    & card(c135,int1)
    & sort(c135,ta)
    & varia(abend_2_1,varia_c)
    & refer(abend_2_1,refer_c)
    & quant(abend_2_1,one)
    & gener(abend_2_1,sp)
    & fact(abend_2_1,real)
    & etype(abend_2_1,int0)
    & card(abend_2_1,int1)
    & sort(abend_2_1,t)
    & gener(haben_1_1,ge)
    & fact(haben_1_1,real)
    & sort(haben_1_1,st)
    & varia(c127,varia_c)
    & refer(c127,det)
    & quant(c127,one)
    & gener(c127,sp)
    & fact(c127,real)
    & etype(c127,int0)
    & card(c127,int1)
    & sort(c127,d)
    & varia(c150,con)
    & refer(c150,det)
    & quant(c150,one)
    & gener(c150,sp)
    & fact(c150,real)
    & etype(c150,int0)
    & card(c150,int1)
    & sort(c150,d)
    & varia(c170,con)
    & refer(c170,det)
    & quant(c170,one)
    & gener(c170,sp)
    & fact(c170,real)
    & etype(c170,int0)
    & card(c170,int1)
    & sort(c170,l)
    & varia(c171,varia_c)
    & refer(c171,refer_c)
    & quant(c171,quant_c)
    & gener(c171,gener_c)
    & fact(c171,real)
    & etype(c171,int1)
    & card(c171,card_c)
    & sort(c171,o)
    & card(c130,int2)
    & sort(c130,oq)
    & sort(c0,tq)
    & gener(c10,sp)
    & fact(c10,real)
    & sort(c10,st)
    & chsp2(zelebrieren_1_1,c0)
    & sub(kreuzung_1_1,weg_1_1)
    & assoc(kreuzung_1_1,kreuz_1_1)
    & pred(c9,gl__344ubig_2_1)
    & subm(c171,c9)
    & an(c170,c140)
    & in(c169,c147)
    & sub(c150,kreuzung_1_1)
    & prop(c150,althergebracht_1_1)
    & val(c148,rom_0)
    & sub(c148,name_1_1)
    & sub(c147,stadt__1_1)
    & attr(c147,c148)
    & sub(c140,kolosseum_1_1)
    & loc(c140,c169)
    & sub(c135,freiertag_1_1)
    & val(c129,paul_0)
    & sub(c129,familiename_1_1)
    & val(c128,johannes_0)
    & sub(c128,eigenname_1_1)
    & sub(c127,kirchenf__374rst_1_1)
    & attr(c127,c129)
    & attr(c127,c128)
    & temp(c10,c135)
    & temp(c10,abend_2_1)
    & subs(c10,haben_1_1)
    & scar(c10,c127)
    & obj(c10,c150)
    & loc(c10,c170)
    & ctxt(c10,c171)
    & assoc(c10,c130)
    & assoc(c10,c0) ),
    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] :
      ( 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,rom_0)
      | ~ subs(X4,stehen_1_1)
      | ~ sub(X3,kolosseum_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)
          | ! [X3] :
              ( ~ sub(X3,kolosseum_1_1)
              | ! [X0] :
                  ( ~ sub(X0,stadt__1_1)
                  | ~ sub(X1,name_1_1)
                  | ~ 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] :
      ( ~ val(X2,rom_0)
      | ~ subs(X3,stehen_1_1)
      | ~ sub(X4,kolosseum_1_1)
      | ~ sub(X1,stadt__1_1)
      | ~ sub(X2,name_1_1)
      | ~ scar(X3,X4)
      | ~ loc(X3,X0)
      | ~ attr(X1,X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20835,plain,
    loc(c140,c169),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20836,plain,
    sub(c140,kolosseum_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20837,plain,
    attr(c147,c148),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20838,plain,
    sub(c147,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20839,plain,
    sub(c148,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20840,plain,
    val(c148,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20843,plain,
    in(c169,c147),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21102,definition,
    ( sQ1_spl
  <=> sub(c148,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21104,plain,
    ( sQ1_spl
    | ~ sub(c148,name_1_1) ),
    inference(component_clause,[status(thm)],[f21102]) ).

fof(f21120,plain,
    subs(sK62_skl(c169,c140),stehen_1_1),
    inference(resolution,[status(thm)],[f20835,f10805]) ).

fof(f21122,plain,
    ! [X0,X1,X2,X3] :
      ( ~ val(X1,rom_0)
      | ~ subs(X2,stehen_1_1)
      | ~ sub(X3,kolosseum_1_1)
      | ~ sub(X1,name_1_1)
      | ~ scar(X2,X3)
      | ~ loc(X2,X0)
      | ~ attr(c147,X1)
      | ~ in(X0,c147) ),
    inference(resolution,[status(thm)],[f20838,f20817]) ).

fof(f21124,definition,
    ! [X0,X2,X3] :
      ( sQ3_spl
    <=> ( ~ subs(X2,stehen_1_1)
        | ~ sub(X3,kolosseum_1_1)
        | ~ scar(X2,X3)
        | ~ loc(X2,X0)
        | ~ in(X0,c147) ) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21125,plain,
    ! [X0,X1,X2] :
      ( ~ sQ3_spl
      | ~ subs(X1,stehen_1_1)
      | ~ sub(X2,kolosseum_1_1)
      | ~ scar(X1,X2)
      | ~ loc(X1,X0)
      | ~ in(X0,c147) ),
    inference(component_clause,[status(thm)],[f21124]) ).

fof(f21127,definition,
    ! [X1] :
      ( sQ4_spl
    <=> ( ~ val(X1,rom_0)
        | ~ sub(X1,name_1_1)
        | ~ attr(c147,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21128,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ val(X0,rom_0)
      | ~ sub(X0,name_1_1)
      | ~ attr(c147,X0) ),
    inference(component_clause,[status(thm)],[f21127]) ).

fof(f21130,plain,
    ( sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f21122,f21124,f21127]) ).

fof(f21131,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20839,f21104]) ).

fof(f21132,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21131]) ).

fof(f21135,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ subs(X0,stehen_1_1)
      | ~ sub(X1,kolosseum_1_1)
      | ~ scar(X0,X1)
      | ~ loc(X0,c169) ),
    inference(resolution,[status(thm)],[f20843,f21125]) ).

fof(f21176,plain,
    ( ~ sQ4_spl
    | ~ sub(c148,name_1_1)
    | ~ attr(c147,c148) ),
    inference(resolution,[status(thm)],[f21128,f20840]) ).

fof(f21177,definition,
    ( sQ12_spl
  <=> attr(c147,c148) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f21179,plain,
    ( sQ12_spl
    | ~ attr(c147,c148) ),
    inference(component_clause,[status(thm)],[f21177]) ).

fof(f21180,plain,
    ( ~ sQ4_spl
    | ~ sQ1_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f21176,f21177,f21102,f21127]) ).

fof(f21181,plain,
    ( sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21179,f20837]) ).

fof(f21182,plain,
    sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f21181]) ).

fof(f21183,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ subs(X0,stehen_1_1)
      | ~ scar(X0,c140)
      | ~ loc(X0,c169) ),
    inference(resolution,[status(thm)],[f21135,f20836]) ).

fof(f21200,plain,
    scar(sK62_skl(c169,c140),c140),
    inference(resolution,[status(thm)],[f10804,f20835]) ).

fof(f21205,plain,
    ( ~ sQ3_spl
    | ~ subs(sK62_skl(c169,c140),stehen_1_1)
    | ~ loc(sK62_skl(c169,c140),c169) ),
    inference(resolution,[status(thm)],[f21200,f21183]) ).

fof(f21209,definition,
    ( sQ13_spl
  <=> loc(sK62_skl(c169,c140),c169) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f21211,plain,
    ( sQ13_spl
    | ~ loc(sK62_skl(c169,c140),c169) ),
    inference(component_clause,[status(thm)],[f21209]) ).

fof(f21212,definition,
    ( sQ14_spl
  <=> subs(sK62_skl(c169,c140),stehen_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f21214,plain,
    ( sQ14_spl
    | ~ subs(sK62_skl(c169,c140),stehen_1_1) ),
    inference(component_clause,[status(thm)],[f21212]) ).

fof(f21215,plain,
    ( ~ sQ3_spl
    | ~ sQ14_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f21205,f21209,f21212,f21124]) ).

fof(f21217,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21214,f21120]) ).

fof(f21218,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f21217]) ).

fof(f21219,plain,
    ( sQ13_spl
    | ~ loc(c140,c169) ),
    inference(resolution,[status(thm)],[f21211,f10803]) ).

fof(f21221,plain,
    ( sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21219,f20835]) ).

fof(f21222,plain,
    sQ13_spl,
    inference(contradiction_clause,[status(thm)],[f21221]) ).

fof(f21223,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21130,f21132,f21180,f21182,f21215,f21218,f21222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR114+1 : 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 : n005.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 15:04:33 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.22/0.50  % Drodi V4.1.1
% 19.05/3.00  % Refutation found
% 19.05/3.00  % SZS status Theorem for theBenchmark: Theorem is valid
% 19.05/3.00  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.77/3.10  % Elapsed time: 2.725260 seconds
% 19.77/3.10  % CPU time: 19.989075 seconds
% 19.77/3.10  % Total memory used: 524.579 MB
% 19.77/3.10  % Net memory used: 519.650 MB
%------------------------------------------------------------------------------