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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+37 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 12:13:59 PM UTC 2026

% Result   : Theorem 63.53s 8.59s
% Output   : CNFRefutation 64.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :  318 (   0 equ)
%            Maximal formula atoms :  173 (  10 avg)
%            Number of connectives :  395 ( 108   ~;  92   |; 194   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  173 (  13 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   :   76 (  60   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    ! [X0,X1] :
      ( card(X0,X1)
     => has_card_leq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( val(X6,X7)
      & val(X2,bmw_0)
      & val(X1,bmw_0)
      & temp(X4,X5)
      & sub(X6,jahr__1_1)
      & sub(X2,name_1_1)
      & sub(X0,firma_1_1)
      & sub(X1,name_1_1)
      & has_card_leq(X7,int1994)
      & attr(X5,X6)
      & attr(X3,X2)
      & attr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10189,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( val(X6,X7)
        & val(X2,bmw_0)
        & val(X1,bmw_0)
        & temp(X4,X5)
        & sub(X6,jahr__1_1)
        & sub(X2,name_1_1)
        & sub(X0,firma_1_1)
        & sub(X1,name_1_1)
        & has_card_leq(X7,int1994)
        & attr(X5,X6)
        & attr(X3,X2)
        & attr(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f10188]) ).

fof(f10190,hypothesis,
    ( varia(entwicklungstendenz_1_1,varia_c)
    & refer(entwicklungstendenz_1_1,refer_c)
    & quant(entwicklungstendenz_1_1,one)
    & gener(entwicklungstendenz_1_1,ge)
    & fact(entwicklungstendenz_1_1,real)
    & etype(entwicklungstendenz_1_1,int0)
    & card(entwicklungstendenz_1_1,int1)
    & sort(entwicklungstendenz_1_1,io)
    & varia(markt_1_1,varia_c)
    & refer(markt_1_1,refer_c)
    & quant(markt_1_1,one)
    & gener(markt_1_1,ge)
    & fact(markt_1_1,real)
    & etype(markt_1_1,int0)
    & card(markt_1_1,int1)
    & sort(markt_1_1,d)
    & sort(halb__1_1,tq)
    & varia(sich_1_1,varia_c)
    & refer(sich_1_1,refer_c)
    & quant(sich_1_1,one)
    & gener(sich_1_1,gener_c)
    & fact(sich_1_1,real)
    & etype(sich_1_1,int0)
    & card(sich_1_1,int1)
    & sort(sich_1_1,o)
    & 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(c94,varia_c)
    & refer(c94,indet)
    & quant(c94,one)
    & gener(c94,sp)
    & fact(c94,real)
    & etype(c94,int0)
    & card(c94,int1)
    & sort(c94,na)
    & gener(abkoppeln_1_1,ge)
    & fact(abkoppeln_1_1,real)
    & sort(abkoppeln_1_1,da)
    & varia(c95,varia_c)
    & refer(c95,refer_c)
    & quant(c95,quant_c)
    & gener(c95,sp)
    & fact(c95,real)
    & etype(c95,etype_c)
    & card(c95,card_c)
    & sort(c95,co)
    & gener(k__366nnen_0,gener_c)
    & fact(k__366nnen_0,real)
    & sort(k__366nnen_0,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_1_1,varia_c)
    & refer(markttrend_1_1,refer_c)
    & quant(markttrend_1_1,one)
    & gener(markttrend_1_1,ge)
    & fact(markttrend_1_1,real)
    & etype(markttrend_1_1,int0)
    & card(markttrend_1_1,int1)
    & sort(markttrend_1_1,io)
    & sort(r__374ckg__344ngig_1_1,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__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)
    & varia(c107,varia_c)
    & refer(c107,refer_c)
    & quant(c107,quant_c)
    & gener(c107,sp)
    & fact(c107,real)
    & etype(c107,etype_c)
    & card(c107,card_c)
    & sort(c107,ta)
    & sort(c107,oa)
    & sort(c107,me)
    & varia(halbjahr_1_1,varia_c)
    & refer(halbjahr_1_1,refer_c)
    & quant(halbjahr_1_1,one)
    & gener(halbjahr_1_1,ge)
    & fact(halbjahr_1_1,real)
    & etype(halbjahr_1_1,int0)
    & card(halbjahr_1_1,int1)
    & sort(halbjahr_1_1,ta)
    & card(erst_1_1,int1)
    & sort(erst_1_1,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_c)
    & refer(c103,refer_c)
    & 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_1_1,entwicklungstendenz_1_1)
    & assoc(markttrend_1_1,markt_1_1)
    & sub(halbjahr_1_1,jahr__1_1)
    & assoc(halbjahr_1_1,halb__1_1)
    & sub(c95,sich_1_1)
    & val(c94,bmw_0)
    & sub(c94,name_1_1)
    & sub(c93,firma_1_1)
    & attr(c93,c94)
    & temp(c111,c100)
    & subs(c111,abkoppeln_1_1)
    & obj(c111,c95)
    & modl(c111,k__366nnen_0)
    & benf(c111,c93)
    & sub(c110,markttrend_1_1)
    & prop(c110,r__374ckg__344ngig_1_1)
    & attch(c110,c100)
    & val(c107,c102)
    & sub(c107,jahr__1_1)
    & attr(c106,c107)
    & pmod(c103,erst_1_1,halbjahr_1_1)
    & temp(c100,c106)
    & sub(c100,c103) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10224,plain,
    ! [X0,X1] :
      ( has_card_leq(X0,X1)
      | ~ card(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f10225,plain,
    ! [X0,X1] :
      ( has_card_leq(X0,X1)
      | ~ card(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10224]) ).

fof(f20815,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ val(X6,X7)
      | ~ val(X2,bmw_0)
      | ~ val(X1,bmw_0)
      | ~ temp(X4,X5)
      | ~ sub(X6,jahr__1_1)
      | ~ sub(X2,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X1,name_1_1)
      | ~ has_card_leq(X7,int1994)
      | ~ attr(X5,X6)
      | ~ attr(X3,X2)
      | ~ attr(X0,X1) ),
    inference(pre_NNF_transformation,[status(thm)],[f10189]) ).

fof(f20816,plain,
    ! [X6,X7] :
      ( ~ val(X6,X7)
      | ! [X2] :
          ( ~ val(X2,bmw_0)
          | ! [X1] :
              ( ~ val(X1,bmw_0)
              | ! [X5] :
                  ( ! [X4] : ~ temp(X4,X5)
                  | ~ sub(X6,jahr__1_1)
                  | ~ sub(X2,name_1_1)
                  | ! [X0] :
                      ( ~ sub(X0,firma_1_1)
                      | ~ sub(X1,name_1_1)
                      | ~ has_card_leq(X7,int1994)
                      | ~ attr(X5,X6)
                      | ! [X3] : ~ attr(X3,X2)
                      | ~ attr(X0,X1) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f20815]) ).

fof(f20817,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sub(X5,firma_1_1)
      | ~ sub(X6,name_1_1)
      | ~ val(X1,X4)
      | ~ val(X6,bmw_0)
      | ~ temp(X7,X0)
      | ~ sub(X1,jahr__1_1)
      | ~ attr(X5,X6)
      | ~ has_card_leq(X4,int1994)
      | ~ sub(X3,name_1_1)
      | ~ val(X3,bmw_0)
      | ~ attr(X2,X3)
      | ~ attr(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20816]) ).

fof(f20819,plain,
    temp(c100,c106),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20821,plain,
    attr(c106,c107),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20822,plain,
    sub(c107,jahr__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    val(c107,c102),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    attr(c93,c94),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    sub(c93,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20834,plain,
    sub(c94,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20835,plain,
    val(c94,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20896,plain,
    card(c102,int1994),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f21036,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ temp(X6,X5)
      | ~ attr(X5,X2)
      | ~ sub(X1,name_1_1)
      | ~ val(X1,bmw_0)
      | ~ sub(c94,name_1_1)
      | ~ attr(X4,c94)
      | ~ has_card_leq(X3,int1994)
      | ~ sub(X0,firma_1_1)
      | ~ sub(X2,jahr__1_1)
      | ~ val(X2,X3)
      | ~ attr(X0,X1) ),
    inference(resolution,[status(thm)],[f20835,f20817]) ).

fof(f21165,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sub(X1,name_1_1)
      | ~ sub(X3,firma_1_1)
      | ~ has_card_leq(X2,int1994)
      | ~ sub(c107,jahr__1_1)
      | ~ temp(X4,c106)
      | ~ attr(X3,X1)
      | ~ val(c107,X2)
      | ~ sub(c94,name_1_1)
      | ~ val(X1,bmw_0)
      | ~ attr(X0,c94) ),
    inference(resolution,[status(thm)],[f20821,f21036]) ).

fof(f21258,plain,
    ! [X0,X1,X2] :
      ( ~ sub(c94,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ has_card_leq(X1,int1994)
      | ~ sub(c107,jahr__1_1)
      | ~ temp(X2,c106)
      | ~ val(c107,X1)
      | ~ sub(c94,name_1_1)
      | ~ val(c94,bmw_0)
      | ~ attr(X0,c94) ),
    inference(factoring,[status(thm)],[f21165]) ).

fof(f21259,plain,
    ! [X0,X1,X2] :
      ( ~ sub(X0,firma_1_1)
      | ~ has_card_leq(X1,int1994)
      | ~ sub(c107,jahr__1_1)
      | ~ temp(X2,c106)
      | ~ val(c107,X1)
      | ~ sub(c94,name_1_1)
      | ~ val(c94,bmw_0)
      | ~ attr(X0,c94) ),
    inference(duplicate_literals_removal,[status(thm)],[f21258]) ).

fof(f21260,plain,
    ! [X0,X1,X2] :
      ( ~ sub(X1,firma_1_1)
      | ~ sub(c107,jahr__1_1)
      | ~ sub(c94,name_1_1)
      | ~ val(c107,X2)
      | ~ has_card_leq(X2,int1994)
      | ~ attr(X1,c94)
      | ~ temp(X0,c106) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21259,f20835]) ).

fof(f21271,plain,
    ! [X0,X1] :
      ( ~ sub(X0,firma_1_1)
      | ~ val(c107,X1)
      | ~ sub(c107,jahr__1_1)
      | ~ sub(c94,name_1_1)
      | ~ has_card_leq(X1,int1994)
      | ~ attr(X0,c94) ),
    inference(resolution,[status(thm)],[f21260,f20819]) ).

fof(f21275,plain,
    ! [X0,X1] :
      ( ~ has_card_leq(X0,int1994)
      | ~ sub(c107,jahr__1_1)
      | ~ attr(X1,c94)
      | ~ sub(X1,firma_1_1)
      | ~ val(c107,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f21271,f20834]) ).

fof(f21441,plain,
    ! [X0,X1] :
      ( ~ sub(X1,firma_1_1)
      | ~ has_card_leq(X0,int1994)
      | ~ attr(X1,c94)
      | ~ val(c107,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f21275,f20822]) ).

fof(f23958,plain,
    ! [X0] :
      ( ~ sub(X0,firma_1_1)
      | ~ has_card_leq(c102,int1994)
      | ~ attr(X0,c94) ),
    inference(resolution,[status(thm)],[f20823,f21441]) ).

fof(f24025,plain,
    ! [X0] :
      ( ~ card(c102,int1994)
      | ~ sub(X0,firma_1_1)
      | ~ attr(X0,c94) ),
    inference(resolution,[status(thm)],[f23958,f10225]) ).

fof(f24026,plain,
    ! [X0] :
      ( ~ attr(X0,c94)
      | ~ sub(X0,firma_1_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f24025,f20896]) ).

fof(f24338,plain,
    ~ sub(c93,firma_1_1),
    inference(resolution,[status(thm)],[f20832,f24026]) ).

fof(f24668,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f24338,f20833]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR115+37 : 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 : n011.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 15:06:10 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.22/0.49  % Drodi V4.1.1
% 63.53/8.59  % Refutation found
% 63.53/8.59  % SZS status Theorem for theBenchmark: Theorem is valid
% 63.53/8.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.24/8.77  % Elapsed time: 8.396446 seconds
% 4.24/8.77  % CPU time: 64.665654 seconds
% 4.24/8.77  % Total memory used: 637.576 MB
% 4.24/8.77  % Net memory used: 610.753 MB
%------------------------------------------------------------------------------