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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR115+37 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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 : Sun Sep 27 07:04:42 AM UTC 2026

% Result   : Theorem 52.78s 8.40s
% Output   : CNFRefutation 52.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :  271 (   0 equ)
%            Maximal formula atoms :  173 (  10 avg)
%            Number of connectives :  306 (  61   ~;  50   |; 194   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  173 (  12 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-3 aty)
%            Number of functors    :   56 (  56 usr;  56 con; 0-0 aty)
%            Number of variables   :   58 (  11 sgn   2   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_007_mira_news_1229,hypothesis,
    ( varia('entwicklungstendenz$u1$u1','varia$uc')
    & refer('entwicklungstendenz$u1$u1','refer$uc')
    & quant('entwicklungstendenz$u1$u1',one)
    & gener('entwicklungstendenz$u1$u1',ge)
    & fact('entwicklungstendenz$u1$u1',real)
    & etype('entwicklungstendenz$u1$u1',int0)
    & card('entwicklungstendenz$u1$u1',int1)
    & sort('entwicklungstendenz$u1$u1',io)
    & varia('markt$u1$u1','varia$uc')
    & refer('markt$u1$u1','refer$uc')
    & quant('markt$u1$u1',one)
    & gener('markt$u1$u1',ge)
    & fact('markt$u1$u1',real)
    & etype('markt$u1$u1',int0)
    & card('markt$u1$u1',int1)
    & sort('markt$u1$u1',d)
    & sort('halb$u$u1$u1',tq)
    & varia('sich$u1$u1','varia$uc')
    & refer('sich$u1$u1','refer$uc')
    & quant('sich$u1$u1',one)
    & gener('sich$u1$u1','gener$uc')
    & fact('sich$u1$u1',real)
    & etype('sich$u1$u1',int0)
    & card('sich$u1$u1',int1)
    & sort('sich$u1$u1',o)
    & sort('bmw$u0',fe)
    & varia('name$u1$u1','varia$uc')
    & refer('name$u1$u1','refer$uc')
    & quant('name$u1$u1',one)
    & gener('name$u1$u1',ge)
    & fact('name$u1$u1',real)
    & etype('name$u1$u1',int0)
    & card('name$u1$u1',int1)
    & sort('name$u1$u1',na)
    & varia('firma$u1$u1','varia$uc')
    & refer('firma$u1$u1','refer$uc')
    & quant('firma$u1$u1',one)
    & gener('firma$u1$u1',ge)
    & fact('firma$u1$u1',real)
    & etype('firma$u1$u1',int0)
    & card('firma$u1$u1',int1)
    & sort('firma$u1$u1',io)
    & sort('firma$u1$u1',d)
    & varia(c94,'varia$uc')
    & refer(c94,indet)
    & quant(c94,one)
    & gener(c94,sp)
    & fact(c94,real)
    & etype(c94,int0)
    & card(c94,int1)
    & sort(c94,na)
    & gener('abkoppeln$u1$u1',ge)
    & fact('abkoppeln$u1$u1',real)
    & sort('abkoppeln$u1$u1',da)
    & varia(c95,'varia$uc')
    & refer(c95,'refer$uc')
    & quant(c95,'quant$uc')
    & gener(c95,sp)
    & fact(c95,real)
    & etype(c95,'etype$uc')
    & card(c95,'card$uc')
    & sort(c95,co)
    & gener('k$u$u366nnen$u0','gener$uc')
    & fact('k$u$u366nnen$u0',real)
    & sort('k$u$u366nnen$u0',md)
    & varia(c93,con)
    & refer(c93,det)
    & quant(c93,one)
    & gener(c93,sp)
    & fact(c93,real)
    & etype(c93,int0)
    & card(c93,int1)
    & sort(c93,io)
    & sort(c93,d)
    & gener(c111,sp)
    & fact(c111,real)
    & sort(c111,da)
    & varia('markttrend$u1$u1','varia$uc')
    & refer('markttrend$u1$u1','refer$uc')
    & quant('markttrend$u1$u1',one)
    & gener('markttrend$u1$u1',ge)
    & fact('markttrend$u1$u1',real)
    & etype('markttrend$u1$u1',int0)
    & card('markttrend$u1$u1',int1)
    & sort('markttrend$u1$u1',io)
    & sort('r$u$u374ckg$u$u344ngig$u1$u1',nq)
    & varia(c110,con)
    & refer(c110,det)
    & quant(c110,one)
    & gener(c110,sp)
    & fact(c110,real)
    & etype(c110,int0)
    & card(c110,int1)
    & sort(c110,io)
    & card(c102,int1994)
    & sort(c102,nu)
    & varia('jahr$u$u1$u1','varia$uc')
    & refer('jahr$u$u1$u1','refer$uc')
    & quant('jahr$u$u1$u1','quant$uc')
    & gener('jahr$u$u1$u1',ge)
    & fact('jahr$u$u1$u1',real)
    & etype('jahr$u$u1$u1','etype$uc')
    & card('jahr$u$u1$u1','card$uc')
    & sort('jahr$u$u1$u1',ta)
    & sort('jahr$u$u1$u1',oa)
    & sort('jahr$u$u1$u1',me)
    & varia(c107,'varia$uc')
    & refer(c107,'refer$uc')
    & quant(c107,'quant$uc')
    & gener(c107,sp)
    & fact(c107,real)
    & etype(c107,'etype$uc')
    & card(c107,'card$uc')
    & sort(c107,ta)
    & sort(c107,oa)
    & sort(c107,me)
    & varia('halbjahr$u1$u1','varia$uc')
    & refer('halbjahr$u1$u1','refer$uc')
    & quant('halbjahr$u1$u1',one)
    & gener('halbjahr$u1$u1',ge)
    & fact('halbjahr$u1$u1',real)
    & etype('halbjahr$u1$u1',int0)
    & card('halbjahr$u1$u1',int1)
    & sort('halbjahr$u1$u1',ta)
    & card('erst$u1$u1',int1)
    & sort('erst$u1$u1',oq)
    & varia(c106,con)
    & refer(c106,det)
    & quant(c106,one)
    & gener(c106,sp)
    & fact(c106,real)
    & etype(c106,int0)
    & card(c106,int1)
    & sort(c106,t)
    & varia(c103,'varia$uc')
    & refer(c103,'refer$uc')
    & quant(c103,one)
    & gener(c103,ge)
    & fact(c103,real)
    & etype(c103,int0)
    & card(c103,int1)
    & sort(c103,ta)
    & varia(c100,con)
    & refer(c100,det)
    & quant(c100,one)
    & gener(c100,sp)
    & fact(c100,real)
    & etype(c100,int0)
    & card(c100,int1)
    & sort(c100,ta)
    & sub('markttrend$u1$u1','entwicklungstendenz$u1$u1')
    & assoc('markttrend$u1$u1','markt$u1$u1')
    & sub('halbjahr$u1$u1','jahr$u$u1$u1')
    & assoc('halbjahr$u1$u1','halb$u$u1$u1')
    & sub(c95,'sich$u1$u1')
    & val(c94,'bmw$u0')
    & sub(c94,'name$u1$u1')
    & sub(c93,'firma$u1$u1')
    & attr(c93,c94)
    & temp(c111,c100)
    & subs(c111,'abkoppeln$u1$u1')
    & obj(c111,c95)
    & modl(c111,'k$u$u366nnen$u0')
    & benf(c111,c93)
    & sub(c110,'markttrend$u1$u1')
    & prop(c110,'r$u$u374ckg$u$u344ngig$u1$u1')
    & attch(c110,c100)
    & val(c107,c102)
    & sub(c107,'jahr$u$u1$u1')
    & attr(c106,c107)
    & pmod(c103,'erst$u1$u1','halbjahr$u1$u1')
    & temp(c100,c106)
    & sub(c100,c103) ) ).

fof(has_card_eq,axiom,
    ! [X0,X1] :
      ( card(X0,X1)
     => 'has$ucard$uleq'(X0,X1) ) ).

fof(synth_qa07_007_mira_news_1229,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( val(X6,X7)
      & val(X2,'bmw$u0')
      & val(X1,'bmw$u0')
      & temp(X4,X5)
      & sub(X6,'jahr$u$u1$u1')
      & sub(X2,'name$u1$u1')
      & sub(X0,'firma$u1$u1')
      & sub(X1,'name$u1$u1')
      & 'has$ucard$uleq'(X7,int1994)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( val(X6,X7)
        & val(X2,'bmw$u0')
        & val(X1,'bmw$u0')
        & temp(X4,X5)
        & sub(X6,'jahr$u$u1$u1')
        & sub(X2,'name$u1$u1')
        & sub(X0,'firma$u1$u1')
        & sub(X1,'name$u1$u1')
        & 'has$ucard$uleq'(X7,int1994)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_007_mira_news_1229]) ).

cnf(c1,plain,
    temp(c100,c106),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c3,plain,
    attr(c106,c107),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c4,plain,
    sub(c107,'jahr$u$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c5,plain,
    val(c107,c102),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c14,plain,
    attr(c93,c94),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c15,plain,
    sub(c93,'firma$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c16,plain,
    sub(c94,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c17,plain,
    val(c94,'bmw$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c78,plain,
    card(c102,int1994),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_news_1229]) ).

cnf(c187,plain,
    ( 'has$ucard$uleq'(X0,X1)
    | ~ card(X0,X1) ),
    inference(clausification,[status(esa)],[has_card_eq]) ).

cnf(c282,plain,
    ( ~ sub(X1,'name$u1$u1')
    | ~ 'has$ucard$uleq'(X3,int1994)
    | ~ attr(X7,X0)
    | ~ temp(X6,X5)
    | ~ attr(X4,X1)
    | ~ attr(X5,X2)
    | ~ sub(X4,'firma$u1$u1')
    | ~ sub(X2,'jahr$u$u1$u1')
    | ~ val(X2,X3)
    | ~ val(X1,'bmw$u0')
    | ~ sub(X0,'name$u1$u1')
    | ~ val(X0,'bmw$u0') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ 'has$ucard$uleq'(X5,int1994)
    | ~ val(X0,'bmw$u0')
    | ~ val(X1,X5)
    | ~ val(X0,'bmw$u0')
    | ~ attr(X2,X0)
    | ~ attr(X4,X1)
    | ~ temp(X3,X4)
    | ~ sub(X2,'firma$u1$u1')
    | ~ sub(X0,'name$u1$u1')
    | ~ sub(X1,'jahr$u$u1$u1')
    | ~ sub(X0,'name$u1$u1') ),
    inference(factoring,[status(thm)],[c282]) ).

cnf(d1,plain,
    'has$ucard$uleq'(c102,int1994),
    inference(resolution,[status(thm)],[c187,c78]) ).

cnf(d2,plain,
    ( ~ val(X2,'bmw$u0')
    | ~ val(X1,c102)
    | ~ attr(X0,X2)
    | ~ attr(X4,X1)
    | ~ temp(X3,X4)
    | ~ sub(X2,'name$u1$u1')
    | ~ sub(X1,'jahr$u$u1$u1')
    | ~ sub(X0,'firma$u1$u1') ),
    inference(resolution,[status(thm)],[d1,d0]) ).

cnf(d3,plain,
    ( ~ val(X0,'bmw$u0')
    | ~ attr(X1,X0)
    | ~ attr(X3,c107)
    | ~ temp(X2,X3)
    | ~ sub(X1,'firma$u1$u1')
    | ~ sub(c107,'jahr$u$u1$u1')
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d2,c5]) ).

cnf(d4,plain,
    ( ~ val(X1,'bmw$u0')
    | ~ attr(X0,X1)
    | ~ attr(X3,c107)
    | ~ temp(X2,X3)
    | ~ sub(X1,'name$u1$u1')
    | ~ sub(X0,'firma$u1$u1') ),
    inference(resolution,[status(thm)],[c4,d3]) ).

cnf(d5,plain,
    ( ~ attr(X0,c94)
    | ~ attr(X2,c107)
    | ~ temp(X1,X2)
    | ~ sub(X0,'firma$u1$u1')
    | ~ sub(c94,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d4,c17]) ).

cnf(d6,plain,
    ( ~ attr(X0,c94)
    | ~ attr(X2,c107)
    | ~ temp(X1,X2)
    | ~ sub(X0,'firma$u1$u1') ),
    inference(resolution,[status(thm)],[c16,d5]) ).

cnf(d7,plain,
    ( ~ attr(X1,c107)
    | ~ temp(X0,X1)
    | ~ sub(c93,'firma$u1$u1') ),
    inference(resolution,[status(thm)],[d6,c14]) ).

cnf(d8,plain,
    ( ~ attr(X1,c107)
    | ~ temp(X0,X1) ),
    inference(resolution,[status(thm)],[c15,d7]) ).

cnf(d9,plain,
    ~ temp(X0,c106),
    inference(resolution,[status(thm)],[d8,c3]) ).

cnf(d10,plain,
    $false,
    inference(resolution,[status(thm)],[d9,c1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+37 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n014.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 01:08:17 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.78/8.40  % SZS status Theorem for theBenchmark.p
% 52.78/8.40  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------