TSTP Solution File: CSR115+30 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR115+30 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Fri Jul 15 21:58:17 EDT 2022

% Result   : Theorem 5.28s 5.50s
% Output   : CNFRefutation 5.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   28 (  12 unt;   0 def)
%            Number of atoms       :  329 (   0 equ)
%            Maximal formula atoms :  131 (  11 avg)
%            Number of connectives :  335 (  34   ~;  25   |; 275   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  131 (  14 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-6 aty)
%            Number of functors    :   43 (  43 usr;  43 con; 0-0 aty)
%            Number of variables   :   54 (   9 sgn  20   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(has_card_eq,axiom,
    ! [X0,X1] :
      ( card(X0,X1)
     => has_card_leq(X0,X1) ) ).

fof(synth_qa07_007_mira_news_1206,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( attr(X0,X1)
      & attr(X3,X2)
      & attr(X4,X5)
      & has_card_leq(X6,int1994)
      & sub(X5,jahr__1_1)
      & val(X5,X6) ) ).

fof(ave07_era5_synth_qa07_007_mira_news_1206,hypothesis,
    ( tupl_p6(c279,c69,c78,c83,c88,c96)
    & sub(c69,zeitraum_1_1)
    & sub(c73,anfang_1_1)
    & assoc(c78,c73)
    & attr(c78,c79)
    & sub(c79,jahr__1_1)
    & val(c79,c74)
    & sub(c83,bmw_1_1)
    & sub(c88,kurs_1_1)
    & quant_p3(c96,c92,mark_1_1)
    & sort(c279,ent)
    & card(c279,card_c)
    & etype(c279,etype_c)
    & fact(c279,real)
    & gener(c279,gener_c)
    & quant(c279,quant_c)
    & refer(c279,refer_c)
    & varia(c279,varia_c)
    & sort(c69,ta)
    & card(c69,int1)
    & etype(c69,int0)
    & fact(c69,real)
    & gener(c69,sp)
    & quant(c69,one)
    & refer(c69,det)
    & varia(c69,con)
    & sort(c78,t)
    & card(c78,int1)
    & etype(c78,int0)
    & fact(c78,real)
    & gener(c78,sp)
    & quant(c78,one)
    & refer(c78,det)
    & varia(c78,con)
    & sort(c83,d)
    & card(c83,int1)
    & etype(c83,int0)
    & fact(c83,real)
    & gener(c83,sp)
    & quant(c83,one)
    & refer(c83,det)
    & varia(c83,con)
    & sort(c88,ad)
    & sort(c88,d)
    & sort(c88,io)
    & card(c88,int1)
    & etype(c88,int0)
    & fact(c88,real)
    & gener(c88,gener_c)
    & quant(c88,one)
    & refer(c88,refer_c)
    & varia(c88,varia_c)
    & sort(c96,co)
    & sort(c96,m)
    & card(c96,card_c)
    & etype(c96,etype_c)
    & fact(c96,real)
    & gener(c96,gener_c)
    & quant(c96,quant_c)
    & refer(c96,refer_c)
    & varia(c96,con)
    & sort(zeitraum_1_1,ta)
    & card(zeitraum_1_1,int1)
    & etype(zeitraum_1_1,int0)
    & fact(zeitraum_1_1,real)
    & gener(zeitraum_1_1,ge)
    & quant(zeitraum_1_1,one)
    & refer(zeitraum_1_1,refer_c)
    & varia(zeitraum_1_1,varia_c)
    & sort(c73,ad)
    & sort(c73,io)
    & card(c73,int1)
    & etype(c73,int0)
    & fact(c73,real)
    & gener(c73,gener_c)
    & quant(c73,one)
    & refer(c73,refer_c)
    & varia(c73,varia_c)
    & sort(anfang_1_1,ad)
    & sort(anfang_1_1,io)
    & card(anfang_1_1,int1)
    & etype(anfang_1_1,int0)
    & fact(anfang_1_1,real)
    & gener(anfang_1_1,ge)
    & quant(anfang_1_1,one)
    & refer(anfang_1_1,refer_c)
    & varia(anfang_1_1,varia_c)
    & sort(c79,me)
    & sort(c79,oa)
    & sort(c79,ta)
    & card(c79,card_c)
    & etype(c79,etype_c)
    & fact(c79,real)
    & gener(c79,sp)
    & quant(c79,quant_c)
    & refer(c79,refer_c)
    & varia(c79,varia_c)
    & sort(jahr__1_1,me)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,ta)
    & card(jahr__1_1,card_c)
    & etype(jahr__1_1,etype_c)
    & fact(jahr__1_1,real)
    & gener(jahr__1_1,ge)
    & quant(jahr__1_1,quant_c)
    & refer(jahr__1_1,refer_c)
    & varia(jahr__1_1,varia_c)
    & sort(c74,nu)
    & card(c74,int1994)
    & sort(bmw_1_1,d)
    & card(bmw_1_1,int1)
    & etype(bmw_1_1,int0)
    & fact(bmw_1_1,real)
    & gener(bmw_1_1,ge)
    & quant(bmw_1_1,one)
    & refer(bmw_1_1,refer_c)
    & varia(bmw_1_1,varia_c)
    & sort(kurs_1_1,ad)
    & sort(kurs_1_1,d)
    & sort(kurs_1_1,io)
    & card(kurs_1_1,int1)
    & etype(kurs_1_1,int0)
    & fact(kurs_1_1,real)
    & gener(kurs_1_1,ge)
    & quant(kurs_1_1,one)
    & refer(kurs_1_1,refer_c)
    & varia(kurs_1_1,varia_c)
    & sort(c92,nu)
    & card(c92,int929)
    & sort(mark_1_1,me)
    & gener(mark_1_1,ge) ) ).

fof(subgoal_0,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( attr(X0,X1)
      & attr(X3,X2)
      & attr(X4,X5)
      & has_card_leq(X6,int1994)
      & sub(X5,jahr__1_1)
      & val(X5,X6) ),
    inference(strip,[],[synth_qa07_007_mira_news_1206]) ).

fof(negate_0_0,plain,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( attr(X0,X1)
        & attr(X3,X2)
        & attr(X4,X5)
        & has_card_leq(X6,int1994)
        & sub(X5,jahr__1_1)
        & val(X5,X6) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( assoc(c78,c73)
    & attr(c78,c79)
    & card(anfang_1_1,int1)
    & card(bmw_1_1,int1)
    & card(c279,card_c)
    & card(c69,int1)
    & card(c73,int1)
    & card(c74,int1994)
    & card(c78,int1)
    & card(c79,card_c)
    & card(c83,int1)
    & card(c88,int1)
    & card(c92,int929)
    & card(c96,card_c)
    & card(jahr__1_1,card_c)
    & card(kurs_1_1,int1)
    & card(zeitraum_1_1,int1)
    & etype(anfang_1_1,int0)
    & etype(bmw_1_1,int0)
    & etype(c279,etype_c)
    & etype(c69,int0)
    & etype(c73,int0)
    & etype(c78,int0)
    & etype(c79,etype_c)
    & etype(c83,int0)
    & etype(c88,int0)
    & etype(c96,etype_c)
    & etype(jahr__1_1,etype_c)
    & etype(kurs_1_1,int0)
    & etype(zeitraum_1_1,int0)
    & fact(anfang_1_1,real)
    & fact(bmw_1_1,real)
    & fact(c279,real)
    & fact(c69,real)
    & fact(c73,real)
    & fact(c78,real)
    & fact(c79,real)
    & fact(c83,real)
    & fact(c88,real)
    & fact(c96,real)
    & fact(jahr__1_1,real)
    & fact(kurs_1_1,real)
    & fact(zeitraum_1_1,real)
    & gener(anfang_1_1,ge)
    & gener(bmw_1_1,ge)
    & gener(c279,gener_c)
    & gener(c69,sp)
    & gener(c73,gener_c)
    & gener(c78,sp)
    & gener(c79,sp)
    & gener(c83,sp)
    & gener(c88,gener_c)
    & gener(c96,gener_c)
    & gener(jahr__1_1,ge)
    & gener(kurs_1_1,ge)
    & gener(mark_1_1,ge)
    & gener(zeitraum_1_1,ge)
    & quant(anfang_1_1,one)
    & quant(bmw_1_1,one)
    & quant(c279,quant_c)
    & quant(c69,one)
    & quant(c73,one)
    & quant(c78,one)
    & quant(c79,quant_c)
    & quant(c83,one)
    & quant(c88,one)
    & quant(c96,quant_c)
    & quant(jahr__1_1,quant_c)
    & quant(kurs_1_1,one)
    & quant(zeitraum_1_1,one)
    & quant_p3(c96,c92,mark_1_1)
    & refer(anfang_1_1,refer_c)
    & refer(bmw_1_1,refer_c)
    & refer(c279,refer_c)
    & refer(c69,det)
    & refer(c73,refer_c)
    & refer(c78,det)
    & refer(c79,refer_c)
    & refer(c83,det)
    & refer(c88,refer_c)
    & refer(c96,refer_c)
    & refer(jahr__1_1,refer_c)
    & refer(kurs_1_1,refer_c)
    & refer(zeitraum_1_1,refer_c)
    & sort(anfang_1_1,ad)
    & sort(anfang_1_1,io)
    & sort(bmw_1_1,d)
    & sort(c279,ent)
    & sort(c69,ta)
    & sort(c73,ad)
    & sort(c73,io)
    & sort(c74,nu)
    & sort(c78,t)
    & sort(c79,me)
    & sort(c79,oa)
    & sort(c79,ta)
    & sort(c83,d)
    & sort(c88,ad)
    & sort(c88,d)
    & sort(c88,io)
    & sort(c92,nu)
    & sort(c96,co)
    & sort(c96,m)
    & sort(jahr__1_1,me)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,ta)
    & sort(kurs_1_1,ad)
    & sort(kurs_1_1,d)
    & sort(kurs_1_1,io)
    & sort(mark_1_1,me)
    & sort(zeitraum_1_1,ta)
    & sub(c69,zeitraum_1_1)
    & sub(c73,anfang_1_1)
    & sub(c79,jahr__1_1)
    & sub(c83,bmw_1_1)
    & sub(c88,kurs_1_1)
    & tupl_p6(c279,c69,c78,c83,c88,c96)
    & val(c79,c74)
    & varia(anfang_1_1,varia_c)
    & varia(bmw_1_1,varia_c)
    & varia(c279,varia_c)
    & varia(c69,con)
    & varia(c73,varia_c)
    & varia(c78,con)
    & varia(c79,varia_c)
    & varia(c83,con)
    & varia(c88,varia_c)
    & varia(c96,con)
    & varia(jahr__1_1,varia_c)
    & varia(kurs_1_1,varia_c)
    & varia(zeitraum_1_1,varia_c) ),
    inference(canonicalize,[],[ave07_era5_synth_qa07_007_mira_news_1206]) ).

fof(normalize_0_1,plain,
    attr(c78,c79),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    val(c79,c74),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_3,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ attr(X0,X1)
      | ~ attr(X3,X2)
      | ~ attr(X4,X5)
      | ~ has_card_leq(X6,int1994)
      | ~ sub(X5,jahr__1_1)
      | ~ val(X5,X6) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_4,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ attr(X0,X1)
      | ~ attr(X3,X2)
      | ~ attr(X4,X5)
      | ~ has_card_leq(X6,int1994)
      | ~ sub(X5,jahr__1_1)
      | ~ val(X5,X6) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    card(c74,int1994),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_6,plain,
    ! [X0,X1] :
      ( ~ card(X0,X1)
      | has_card_leq(X0,X1) ),
    inference(canonicalize,[],[has_card_eq]) ).

fof(normalize_0_7,plain,
    ! [X0,X1] :
      ( ~ card(X0,X1)
      | has_card_leq(X0,X1) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    sub(c79,jahr__1_1),
    inference(conjunct,[],[normalize_0_0]) ).

cnf(refute_0_0,plain,
    attr(c78,c79),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    val(c79,c74),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    ( ~ attr(X0,X1)
    | ~ attr(X3,X2)
    | ~ attr(X4,X5)
    | ~ has_card_leq(X6,int1994)
    | ~ sub(X5,jahr__1_1)
    | ~ val(X5,X6) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_3,plain,
    ( ~ attr(X_38687,c79)
    | ~ has_card_leq(c74,int1994)
    | ~ sub(c79,jahr__1_1)
    | ~ val(c79,c74) ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(X_38687)),bind(X1,$fot(c79)),bind(X2,$fot(c79)),bind(X3,$fot(X_38687)),bind(X4,$fot(X_38687)),bind(X5,$fot(c79)),bind(X6,$fot(c74))]]) ).

cnf(refute_0_4,plain,
    ( ~ attr(X_38687,c79)
    | ~ has_card_leq(c74,int1994)
    | ~ sub(c79,jahr__1_1) ),
    inference(resolve,[$cnf( val(c79,c74) )],[refute_0_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    card(c74,int1994),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_6,plain,
    ( ~ card(X0,X1)
    | has_card_leq(X0,X1) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_7,plain,
    ( ~ card(c74,int1994)
    | has_card_leq(c74,int1994) ),
    inference(subst,[],[refute_0_6:[bind(X0,$fot(c74)),bind(X1,$fot(int1994))]]) ).

cnf(refute_0_8,plain,
    has_card_leq(c74,int1994),
    inference(resolve,[$cnf( card(c74,int1994) )],[refute_0_5,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ attr(X_38687,c79)
    | ~ sub(c79,jahr__1_1) ),
    inference(resolve,[$cnf( has_card_leq(c74,int1994) )],[refute_0_8,refute_0_4]) ).

cnf(refute_0_10,plain,
    sub(c79,jahr__1_1),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_11,plain,
    ~ attr(X_38687,c79),
    inference(resolve,[$cnf( sub(c79,jahr__1_1) )],[refute_0_10,refute_0_9]) ).

cnf(refute_0_12,plain,
    ~ attr(c78,c79),
    inference(subst,[],[refute_0_11:[bind(X_38687,$fot(c78))]]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( attr(c78,c79) )],[refute_0_0,refute_0_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR115+30 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 10 03:57:03 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.28/5.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.28/5.50  
% 5.28/5.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.35/5.51  
%------------------------------------------------------------------------------