↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+81 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 12:14:06 PM UTC 2026

% Result   : Theorem 9.82s 1.73s
% Output   : CNFRefutation 9.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   44 (  12 unt;   7 def)
%            Number of atoms       :  307 (   0 equ)
%            Maximal formula atoms :  166 (   6 avg)
%            Number of connectives :  353 (  90   ~;  73   |; 183   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  166 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   8 prp; 0-4 aty)
%            Number of functors    :   47 (  47 usr;  46 con; 0-2 aty)
%            Number of variables   :   55 (  41   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X2,bmw_0)
      & val(X1,bmw_0)
      & subs(X4,n374bernehmen_1_1)
      & sub(X2,name_1_1)
      & sub(X0,firma_1_1)
      & sub(X1,name_1_1)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1)
      & agt(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X2,bmw_0)
        & val(X1,bmw_0)
        & subs(X4,n374bernehmen_1_1)
        & sub(X2,name_1_1)
        & sub(X0,firma_1_1)
        & sub(X1,name_1_1)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1)
        & agt(X4,X3) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(nabe_1_1,varia_c)
    & refer(nabe_1_1,refer_c)
    & quant(nabe_1_1,one)
    & gener(nabe_1_1,ge)
    & fact(nabe_1_1,real)
    & etype(nabe_1_1,int0)
    & card(nabe_1_1,int1)
    & sort(nabe_1_1,o)
    & varia(rotor_1_1,varia_c)
    & refer(rotor_1_1,refer_c)
    & quant(rotor_1_1,one)
    & gener(rotor_1_1,ge)
    & fact(rotor_1_1,real)
    & etype(rotor_1_1,int0)
    & card(rotor_1_1,int1)
    & sort(rotor_1_1,o)
    & varia(anlage_1_1,varia_c)
    & refer(anlage_1_1,refer_c)
    & quant(anlage_1_1,one)
    & gener(anlage_1_1,ge)
    & fact(anlage_1_1,real)
    & etype(anlage_1_1,int0)
    & card(anlage_1_1,int1)
    & sort(anlage_1_1,as)
    & varia(motor__1_1,varia_c)
    & refer(motor__1_1,refer_c)
    & quant(motor__1_1,one)
    & gener(motor__1_1,ge)
    & fact(motor__1_1,real)
    & etype(motor__1_1,int0)
    & card(motor__1_1,int1)
    & sort(motor__1_1,d)
    & varia(motoranlage_1_1,varia_c)
    & refer(motoranlage_1_1,refer_c)
    & quant(motoranlage_1_1,one)
    & gener(motoranlage_1_1,ge)
    & fact(motoranlage_1_1,real)
    & etype(motoranlage_1_1,int0)
    & card(motoranlage_1_1,int1)
    & sort(motoranlage_1_1,as)
    & varia(c9,varia_c)
    & refer(c9,refer_c)
    & quant(c9,one)
    & gener(c9,gener_c)
    & fact(c9,real)
    & etype(c9,int0)
    & card(c9,int1)
    & sort(c9,as)
    & sort(bmw_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(firma_1_1,varia_c)
    & refer(firma_1_1,refer_c)
    & quant(firma_1_1,one)
    & gener(firma_1_1,ge)
    & fact(firma_1_1,real)
    & etype(firma_1_1,int0)
    & card(firma_1_1,int1)
    & sort(firma_1_1,io)
    & sort(firma_1_1,d)
    & varia(c58,varia_c)
    & refer(c58,indet)
    & quant(c58,one)
    & gener(c58,sp)
    & fact(c58,real)
    & etype(c58,int0)
    & card(c58,int1)
    & sort(c58,na)
    & gener(n374bernehmen_1_1,ge)
    & fact(n374bernehmen_1_1,real)
    & sort(n374bernehmen_1_1,da)
    & varia(c62,con)
    & refer(c62,det)
    & quant(c62,nfquant)
    & gener(c62,sp)
    & fact(c62,real)
    & etype(c62,int1)
    & card(c62,int3)
    & sort(c62,o)
    & gener(sollen_0,gener_c)
    & fact(sollen_0,real)
    & sort(sollen_0,md)
    & varia(c57,con)
    & refer(c57,det)
    & quant(c57,one)
    & gener(c57,sp)
    & fact(c57,real)
    & etype(c57,int0)
    & card(c57,int1)
    & sort(c57,io)
    & sort(c57,d)
    & gener(c45,sp)
    & fact(c45,real)
    & sort(c45,da)
    & varia(konstruktion_1_1,varia_c)
    & refer(konstruktion_1_1,refer_c)
    & quant(konstruktion_1_1,one)
    & gener(konstruktion_1_1,ge)
    & fact(konstruktion_1_1,real)
    & etype(konstruktion_1_1,int0)
    & card(konstruktion_1_1,int1)
    & sort(konstruktion_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(rotornabe_1_1,varia_c)
    & refer(rotornabe_1_1,refer_c)
    & quant(rotornabe_1_1,one)
    & gener(rotornabe_1_1,ge)
    & fact(rotornabe_1_1,real)
    & etype(rotornabe_1_1,int0)
    & card(rotornabe_1_1,int1)
    & sort(rotornabe_1_1,o)
    & varia(c16,varia_c)
    & refer(c16,indet)
    & quant(c16,mult)
    & gener(c16,gener_c)
    & fact(c16,real)
    & etype(c16,int1)
    & card(c16,cons(x_constant,cons(int1,nil)))
    & sort(c16,o)
    & varia(getriebe__1_1,varia_c)
    & refer(getriebe__1_1,refer_c)
    & quant(getriebe__1_1,one)
    & gener(getriebe__1_1,ge)
    & fact(getriebe__1_1,real)
    & etype(getriebe__1_1,int0)
    & card(getriebe__1_1,int1)
    & sort(getriebe__1_1,d)
    & varia(c12,varia_c)
    & refer(c12,indet)
    & quant(c12,mult)
    & gener(c12,gener_c)
    & fact(c12,real)
    & etype(c12,int1)
    & card(c12,cons(x_constant,cons(int1,nil)))
    & sort(c12,d)
    & sub(rotornabe_1_1,nabe_1_1)
    & assoc(rotornabe_1_1,rotor_1_1)
    & subs(motoranlage_1_1,anlage_1_1)
    & assoc(motoranlage_1_1,motor__1_1)
    & subs(c9,motoranlage_1_1)
    & attch(c9,c4)
    & itms_p4(c62,c4,c12,c16)
    & val(c58,bmw_0)
    & sub(c58,name_1_1)
    & sub(c57,firma_1_1)
    & attr(c57,c58)
    & subs(c45,n374bernehmen_1_1)
    & obj(c45,c62)
    & modl(c45,sollen_0)
    & agt(c45,c57)
    & sub(c4,konstruktion_1_1)
    & pred(c16,rotornabe_1_1)
    & pred(c12,getriebe__1_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X2,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ subs(X4,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X5,X6)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1)
      | ~ agt(X4,X3) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X2] :
      ( ~ val(X2,bmw_0)
      | ! [X1] :
          ( ~ val(X1,bmw_0)
          | ! [X4] :
              ( ~ subs(X4,n374bernehmen_1_1)
              | ~ sub(X2,name_1_1)
              | ! [X0] :
                  ( ~ sub(X0,firma_1_1)
                  | ~ sub(X1,name_1_1)
                  | ! [X5,X6] : ~ attr(X5,X6)
                  | ! [X3] :
                      ( ~ attr(X3,X2)
                      | ~ attr(X0,X1)
                      | ~ agt(X4,X3) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X4,bmw_0)
      | ~ val(X3,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X4,name_1_1)
      | ~ sub(X2,firma_1_1)
      | ~ sub(X3,name_1_1)
      | ~ attr(X5,X6)
      | ~ attr(X1,X4)
      | ~ attr(X2,X3)
      | ~ agt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20821,plain,
    agt(c45,c57),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    subs(c45,n374bernehmen_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20825,plain,
    attr(c57,c58),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c57,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20827,plain,
    sub(c58,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20828,plain,
    val(c58,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21019,definition,
    ! [X0,X1,X4] :
      ( sQ0_spl
    <=> ( ~ val(X4,bmw_0)
        | ~ subs(X0,n374bernehmen_1_1)
        | ~ sub(X4,name_1_1)
        | ~ attr(X1,X4)
        | ~ agt(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f21020,plain,
    ! [X0,X1,X2] :
      ( ~ sQ0_spl
      | ~ val(X2,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(X2,name_1_1)
      | ~ attr(X1,X2)
      | ~ agt(X0,X1) ),
    inference(component_clause,[status(thm)],[f21019]) ).

fof(f21022,definition,
    ! [X2,X3] :
      ( sQ1_spl
    <=> ( ~ val(X3,bmw_0)
        | ~ sub(X2,firma_1_1)
        | ~ sub(X3,name_1_1)
        | ~ attr(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f21023,plain,
    ! [X0,X1] :
      ( ~ sQ1_spl
      | ~ val(X1,bmw_0)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21022]) ).

fof(f21025,definition,
    ! [X5,X6] :
      ( sQ2_spl
    <=> ~ attr(X5,X6) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f21026,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | ~ attr(X0,X1) ),
    inference(component_clause,[status(thm)],[f21025]) ).

fof(f21028,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f20817,f21019,f21022,f21025]) ).

fof(f21034,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f20825,f21026]) ).

fof(f21035,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f21034]) ).

fof(f21045,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ val(c58,bmw_0)
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ sub(c58,name_1_1)
      | ~ agt(X0,c57) ),
    inference(resolution,[status(thm)],[f20825,f21020]) ).

fof(f21046,definition,
    ! [X0] :
      ( sQ3_spl
    <=> ( ~ subs(X0,n374bernehmen_1_1)
        | ~ agt(X0,c57) ) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f21047,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | ~ subs(X0,n374bernehmen_1_1)
      | ~ agt(X0,c57) ),
    inference(component_clause,[status(thm)],[f21046]) ).

fof(f21049,definition,
    ( sQ4_spl
  <=> sub(c58,name_1_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f21051,plain,
    ( sQ4_spl
    | ~ sub(c58,name_1_1) ),
    inference(component_clause,[status(thm)],[f21049]) ).

fof(f21052,definition,
    ( sQ5_spl
  <=> val(c58,bmw_0) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f21054,plain,
    ( sQ5_spl
    | ~ val(c58,bmw_0) ),
    inference(component_clause,[status(thm)],[f21052]) ).

fof(f21055,plain,
    ( ~ sQ0_spl
    | ~ sQ5_spl
    | ~ sQ4_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f21045,f21046,f21049,f21052,f21019]) ).

fof(f21056,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21054,f20828]) ).

fof(f21057,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f21056]) ).

fof(f21058,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21051,f20827]) ).

fof(f21059,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f21058]) ).

fof(f21060,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ sub(X0,firma_1_1)
      | ~ sub(c58,name_1_1)
      | ~ attr(X0,c58) ),
    inference(resolution,[status(thm)],[f21023,f20828]) ).

fof(f21061,definition,
    ! [X0] :
      ( sQ6_spl
    <=> ( ~ sub(X0,firma_1_1)
        | ~ attr(X0,c58) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f21062,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ sub(X0,firma_1_1)
      | ~ attr(X0,c58) ),
    inference(component_clause,[status(thm)],[f21061]) ).

fof(f21064,plain,
    ( ~ sQ1_spl
    | ~ sQ4_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f21060,f21061,f21049,f21022]) ).

fof(f21070,plain,
    ( ~ sQ3_spl
    | ~ agt(c45,c57) ),
    inference(resolution,[status(thm)],[f21047,f20824]) ).

fof(f21072,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21070,f20821]) ).

fof(f21073,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f21072]) ).

fof(f21076,plain,
    ( ~ sQ6_spl
    | ~ sub(c57,firma_1_1) ),
    inference(resolution,[status(thm)],[f21062,f20825]) ).

fof(f21077,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f21076,f20826]) ).

fof(f21078,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f21077]) ).

fof(f21079,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21028,f21035,f21055,f21057,f21059,f21064,f21073,f21078]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+81 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38  % Computer : n008.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 21 15:08:23 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.44  % Drodi V4.1.1
% 9.82/1.73  % Refutation found
% 9.82/1.73  % SZS status Theorem for theBenchmark: Theorem is valid
% 9.82/1.73  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.86/1.82  % Elapsed time: 1.431562 seconds
% 1.86/1.82  % CPU time: 10.319608 seconds
% 1.86/1.82  % Total memory used: 470.712 MB
% 1.86/1.82  % Net memory used: 466.771 MB
%------------------------------------------------------------------------------