↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR114+5 : 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 12:13:54 PM UTC 2026

% Result   : Theorem 15.36s 2.62s
% Output   : CNFRefutation 15.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   46 (  11 unt;   5 def)
%            Number of atoms       :  343 (   0 equ)
%            Maximal formula atoms :  193 (   7 avg)
%            Number of connectives :  387 (  90   ~;  77   |; 214   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  193 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   26 (  25 usr;   6 prp; 0-2 aty)
%            Number of functors    :   57 (  57 usr;  56 con; 0-2 aty)
%            Number of variables   :   58 (  46   !;  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(denken_2_2,ge)
    & fact(denken_2_2,real)
    & sort(denken_2_2,st)
    & gener(c57,sp)
    & fact(c57,real)
    & sort(c57,st)
    & 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(c47,con)
    & refer(c47,det)
    & quant(c47,one)
    & gener(c47,sp)
    & fact(c47,real)
    & etype(c47,int0)
    & card(c47,int1)
    & sort(c47,d)
    & varia(vorsitz_1_1,varia_c)
    & refer(vorsitz_1_1,refer_c)
    & quant(vorsitz_1_1,one)
    & gener(vorsitz_1_1,ge)
    & fact(vorsitz_1_1,real)
    & etype(vorsitz_1_1,int0)
    & card(vorsitz_1_1,int1)
    & sort(vorsitz_1_1,io)
    & 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(c43,varia_c)
    & refer(c43,indet)
    & quant(c43,one)
    & gener(c43,sp)
    & fact(c43,real)
    & etype(c43,int0)
    & card(c43,int1)
    & sort(c43,na)
    & varia(c42,con)
    & refer(c42,det)
    & quant(c42,one)
    & gener(c42,sp)
    & fact(c42,real)
    & etype(c42,int0)
    & card(c42,int1)
    & sort(c42,io)
    & sort(c42,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(c79,con)
    & refer(c79,det)
    & quant(c79,one)
    & gener(c79,sp)
    & fact(c79,real)
    & etype(c79,int0)
    & card(c79,int1)
    & sort(c79,l)
    & varia(c44,varia_c)
    & refer(c44,det)
    & quant(c44,one)
    & gener(c44,sp)
    & fact(c44,real)
    & etype(c44,int0)
    & card(c44,int1)
    & sort(c44,io)
    & varia(c34,con)
    & refer(c34,det)
    & quant(c34,one)
    & gener(c34,sp)
    & fact(c34,real)
    & etype(c34,int0)
    & card(c34,int1)
    & sort(c34,d)
    & varia(zeremonie_1_1,varia_c)
    & refer(zeremonie_1_1,refer_c)
    & quant(zeremonie_1_1,one)
    & gener(zeremonie_1_1,ge)
    & fact(zeremonie_1_1,real)
    & etype(zeremonie_1_1,int0)
    & card(zeremonie_1_1,int1)
    & sort(zeremonie_1_1,ad)
    & sort(n366kumenisch_1_1,tq)
    & varia(c80,con)
    & refer(c80,det)
    & quant(c80,one)
    & gener(c80,sp)
    & fact(c80,real)
    & etype(c80,int0)
    & card(c80,int1)
    & sort(c80,l)
    & varia(c30,varia_c)
    & refer(c30,indet)
    & quant(c30,one)
    & gener(c30,sp)
    & fact(c30,real)
    & etype(c30,int0)
    & card(c30,int1)
    & sort(c30,ad)
    & card(c22,int2000)
    & sort(c22,nu)
    & varia(jahr__1_1,varia_c)
    & refer(jahr__1_1,refer_c)
    & quant(jahr__1_1,quant_c)
    & gener(jahr__1_1,ge)
    & fact(jahr__1_1,real)
    & etype(jahr__1_1,etype_c)
    & card(jahr__1_1,card_c)
    & sort(jahr__1_1,ta)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,me)
    & sort(heilig_1_1,nq)
    & varia(c26,varia_c)
    & refer(c26,refer_c)
    & quant(c26,quant_c)
    & gener(c26,sp)
    & fact(c26,real)
    & etype(c26,etype_c)
    & card(c26,card_c)
    & sort(c26,ta)
    & sort(c26,oa)
    & sort(c26,me)
    & varia(c21,con)
    & refer(c21,det)
    & quant(c21,one)
    & gener(c21,sp)
    & fact(c21,real)
    & etype(c21,int0)
    & card(c21,int1)
    & sort(c21,t)
    & varia(m__344rtyrer_1_1,varia_c)
    & refer(m__344rtyrer_1_1,refer_c)
    & quant(m__344rtyrer_1_1,one)
    & gener(m__344rtyrer_1_1,ge)
    & fact(m__344rtyrer_1_1,real)
    & etype(m__344rtyrer_1_1,int0)
    & card(m__344rtyrer_1_1,int1)
    & sort(m__344rtyrer_1_1,d)
    & varia(c12,con)
    & refer(c12,det)
    & quant(c12,one)
    & gener(c12,sp)
    & fact(c12,hypo)
    & etype(c12,int0)
    & card(c12,int1)
    & sort(c12,d)
    & in(c80,c34)
    & in(c79,c42)
    & temp(c57,c21)
    & subs(c57,denken_2_2)
    & mcont(c57,c12)
    & ctxt(c57,c30)
    & sub(c47,kirchenf__374rst_1_1)
    & attch(c47,c44)
    & sub(c44,vorsitz_1_1)
    & val(c43,rom_0)
    & sub(c43,name_1_1)
    & sub(c42,stadt__1_1)
    & attr(c42,c43)
    & sub(c34,kolosseum_1_1)
    & loc(c34,c79)
    & attch(c34,c44)
    & subs(c30,zeremonie_1_1)
    & prop(c30,n366kumenisch_1_1)
    & loc(c30,c80)
    & val(c26,c22)
    & sub(c26,jahr__1_1)
    & prop(c21,heilig_1_1)
    & attr(c21,c26)
    & sub(c12,m__344rtyrer_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] :
      ( 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(f20827,plain,
    loc(c34,c79),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    sub(c34,kolosseum_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    attr(c42,c43),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    sub(c42,stadt__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    sub(c43,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    val(c43,rom_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20840,plain,
    in(c79,c42),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21052,definition,
    ( sQ1_spl
  <=> sub(c43,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21054,plain,
    ( sQ1_spl
    | ~ sub(c43,name_1_1) ),
    inference(component_clause,[status(thm)],[f21052]) ).

fof(f21067,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(c42,X1)
      | ~ in(X0,c42) ),
    inference(resolution,[status(thm)],[f20830,f20817]) ).

fof(f21069,definition,
    ! [X0,X2,X3] :
      ( sQ3_spl
    <=> ( ~ subs(X2,stehen_1_1)
        | ~ sub(X3,kolosseum_1_1)
        | ~ scar(X2,X3)
        | ~ loc(X2,X0)
        | ~ in(X0,c42) ) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21070,plain,
    ! [X0,X1,X2] :
      ( ~ sQ3_spl
      | ~ subs(X1,stehen_1_1)
      | ~ sub(X2,kolosseum_1_1)
      | ~ scar(X1,X2)
      | ~ loc(X1,X0)
      | ~ in(X0,c42) ),
    inference(component_clause,[status(thm)],[f21069]) ).

fof(f21072,definition,
    ! [X1] :
      ( sQ4_spl
    <=> ( ~ val(X1,rom_0)
        | ~ sub(X1,name_1_1)
        | ~ attr(c42,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21073,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ val(X0,rom_0)
      | ~ sub(X0,name_1_1)
      | ~ attr(c42,X0) ),
    inference(component_clause,[status(thm)],[f21072]) ).

fof(f21075,plain,
    ( sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f21067,f21069,f21072]) ).

fof(f21078,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20831,f21054]) ).

fof(f21079,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f21078]) ).

fof(f21080,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ subs(X0,stehen_1_1)
      | ~ sub(X1,kolosseum_1_1)
      | ~ scar(X0,X1)
      | ~ loc(X0,c79) ),
    inference(resolution,[status(thm)],[f20840,f21070]) ).

fof(f21102,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ subs(sK62_skl(X1,X0),stehen_1_1)
      | ~ sub(X0,kolosseum_1_1)
      | ~ loc(sK62_skl(X1,X0),c79)
      | ~ loc(X0,X1) ),
    inference(resolution,[status(thm)],[f10804,f21080]) ).

fof(f21107,plain,
    ! [X0,X1] :
      ( ~ sQ3_spl
      | ~ sub(X0,kolosseum_1_1)
      | ~ loc(sK62_skl(X1,X0),c79)
      | ~ loc(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21102,f10805]) ).

fof(f21115,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ loc(sK62_skl(X0,c34),c79)
      | ~ loc(c34,X0) ),
    inference(resolution,[status(thm)],[f21107,f20828]) ).

fof(f21116,plain,
    ( ~ sQ3_spl
    | ~ loc(c34,c79)
    | ~ loc(c34,c79) ),
    inference(resolution,[status(thm)],[f21115,f10803]) ).

fof(f21119,definition,
    ( sQ5_spl
  <=> loc(c34,c79) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21121,plain,
    ( sQ5_spl
    | ~ loc(c34,c79) ),
    inference(component_clause,[status(thm)],[f21119]) ).

fof(f21122,plain,
    ( ~ sQ3_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f21116,f21119,f21069]) ).

fof(f21123,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21121,f20827]) ).

fof(f21124,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21123]) ).

fof(f21125,plain,
    ( ~ sQ4_spl
    | ~ sub(c43,name_1_1)
    | ~ attr(c42,c43) ),
    inference(resolution,[status(thm)],[f21073,f20832]) ).

fof(f21126,definition,
    ( sQ6_spl
  <=> attr(c42,c43) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21128,plain,
    ( sQ6_spl
    | ~ attr(c42,c43) ),
    inference(component_clause,[status(thm)],[f21126]) ).

fof(f21129,plain,
    ( ~ sQ4_spl
    | ~ sQ1_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f21125,f21126,f21052,f21072]) ).

fof(f21130,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21128,f20829]) ).

fof(f21131,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21130]) ).

fof(f21132,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21075,f21079,f21122,f21124,f21129,f21131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR114+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51  % Computer : n003.cluster.edu
% 0.09/0.51  % Model    : x86_64 x86_64
% 0.09/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51  % Memory   : 8046.5625MB
% 0.09/0.51  % OS       : Linux 6.8.0-71-generic
% 0.09/0.51  % CPULimit : 300
% 0.09/0.51  % WCLimit  : 300
% 0.09/0.51  % DateTime : Mon Sep 21 15:07:02 UTC 2026
% 0.09/0.51  % CPUTime  : 
% 0.24/0.64  % Drodi V4.1.1
% 15.36/2.62  % Refutation found
% 15.36/2.62  % SZS status Theorem for theBenchmark: Theorem is valid
% 15.36/2.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.67/2.73  % Elapsed time: 2.210832 seconds
% 1.67/2.73  % CPU time: 15.896996 seconds
% 1.67/2.73  % Total memory used: 508.629 MB
% 1.67/2.73  % Net memory used: 504.407 MB
%------------------------------------------------------------------------------