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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR115+47 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n013.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 12:14:00 PM UTC 2026

% Result   : Theorem 32.63s 4.67s
% Output   : CNFRefutation 32.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :  258 (   0 equ)
%            Maximal formula atoms :  122 (   8 avg)
%            Number of connectives :  325 (  99   ~;  84   |; 141   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  122 (  11 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :   43 (  43 usr;  43 con; 0-0 aty)
%            Number of variables   :   77 (  63   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    ! [X0,X1] :
      ( card(X0,X1)
     => has_card_leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10188,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X5,X6)
      & val(X1,bmw_0)
      & temp(X3,X4)
      & sub(X5,jahr__1_1)
      & sub(X1,name_1_1)
      & sub(X0,firma_1_1)
      & obj(X3,X0)
      & has_card_leq(X6,int1994)
      & attr(X4,X5)
      & attr(X2,X1)
      & agt(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f10190,hypothesis,
    ( varia(schon_1_1,varia_c)
    & refer(schon_1_1,refer_c)
    & quant(schon_1_1,one)
    & gener(schon_1_1,sp)
    & fact(schon_1_1,real)
    & etype(schon_1_1,int0)
    & card(schon_1_1,int1)
    & sort(schon_1_1,t)
    & gener(festigen_1_1,ge)
    & fact(festigen_1_1,real)
    & sort(festigen_1_1,da)
    & card(c508,int1994)
    & sort(c508,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(c518,varia_c)
    & refer(c518,refer_c)
    & quant(c518,quant_c)
    & gener(c518,sp)
    & fact(c518,real)
    & etype(c518,etype_c)
    & card(c518,card_c)
    & sort(c518,ta)
    & sort(c518,oa)
    & sort(c518,me)
    & varia(c517,con)
    & refer(c517,det)
    & quant(c517,one)
    & gener(c517,sp)
    & fact(c517,real)
    & etype(c517,int0)
    & card(c517,int1)
    & sort(c517,t)
    & sort(rover_0,fe)
    & varia(c507,varia_c)
    & refer(c507,indet)
    & quant(c507,one)
    & gener(c507,sp)
    & fact(c507,real)
    & etype(c507,int0)
    & card(c507,int1)
    & sort(c507,na)
    & varia(c506,con)
    & refer(c506,det)
    & quant(c506,one)
    & gener(c506,sp)
    & fact(c506,real)
    & etype(c506,int0)
    & card(c506,int1)
    & sort(c506,io)
    & sort(c506,d)
    & 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(c420,varia_c)
    & refer(c420,indet)
    & quant(c420,one)
    & gener(c420,sp)
    & fact(c420,real)
    & etype(c420,int0)
    & card(c420,int1)
    & sort(c420,na)
    & gener(erw__344gen_1_1,ge)
    & fact(erw__344gen_1_1,real)
    & sort(erw__344gen_1_1,da)
    & varia(c419,con)
    & refer(c419,det)
    & quant(c419,one)
    & gener(c419,sp)
    & fact(c419,real)
    & etype(c419,int0)
    & card(c419,int1)
    & sort(c419,io)
    & sort(c419,d)
    & gener(c519,sp)
    & fact(c519,hypo)
    & sort(c519,da)
    & gener(c417,sp)
    & fact(c417,real)
    & sort(c417,da)
    & temp(c519,schon_1_1)
    & temp(c519,c517)
    & subs(c519,festigen_1_1)
    & obj(c519,c506)
    & agt(c519,c419)
    & val(c518,c508)
    & sub(c518,jahr__1_1)
    & attr(c517,c518)
    & val(c507,rover_0)
    & sub(c507,name_1_1)
    & sub(c506,firma_1_1)
    & attr(c506,c507)
    & val(c420,bmw_0)
    & sub(c420,name_1_1)
    & sub(c419,firma_1_1)
    & attr(c419,c420)
    & subs(c417,erw__344gen_1_1)
    & mexp(c417,c419)
    & mcont(c417,c519) ),
    file('/export/starexec/sandbox2/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] :
      ( ~ card(X0,X1)
      | has_card_leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10224]) ).

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

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

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

fof(f20821,plain,
    attr(c419,c420),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20823,plain,
    sub(c420,name_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20824,plain,
    val(c420,bmw_0),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20826,plain,
    sub(c506,firma_1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20829,plain,
    attr(c517,c518),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20830,plain,
    sub(c518,jahr__1_1),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20831,plain,
    val(c518,c508),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20832,plain,
    agt(c519,c419),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20833,plain,
    obj(c519,c506),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20835,plain,
    temp(c519,c517),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20928,plain,
    card(c508,int1994),
    inference(cnf_transformation,[status(thm)],[f10190]) ).

fof(f20975,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ has_card_leq(X2,int1994)
      | ~ agt(X4,X1)
      | ~ attr(X5,X0)
      | ~ obj(X4,X3)
      | ~ temp(X4,X5)
      | ~ sub(X3,firma_1_1)
      | ~ val(X0,X2)
      | ~ attr(X1,c420)
      | ~ sub(X0,jahr__1_1)
      | ~ sub(c420,name_1_1) ),
    inference(resolution,[status(thm)],[f20824,f20817]) ).

fof(f21175,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ temp(X5,X4)
      | ~ agt(X5,X1)
      | ~ val(X0,X3)
      | ~ obj(X5,X2)
      | ~ attr(X4,X0)
      | ~ has_card_leq(X3,int1994)
      | ~ sub(X2,firma_1_1)
      | ~ attr(X1,c420)
      | ~ sub(X0,jahr__1_1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f20975,f20823]) ).

fof(f21182,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ has_card_leq(X1,int1994)
      | ~ agt(X3,c419)
      | ~ obj(X3,X4)
      | ~ sub(X4,firma_1_1)
      | ~ temp(X3,X2)
      | ~ sub(X0,jahr__1_1)
      | ~ attr(X2,X0)
      | ~ val(X0,X1) ),
    inference(resolution,[status(thm)],[f21175,f20821]) ).

fof(f21184,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ obj(X1,X0)
      | ~ attr(X3,X2)
      | ~ card(X4,int1994)
      | ~ val(X2,X4)
      | ~ temp(X1,X3)
      | ~ sub(X2,jahr__1_1)
      | ~ agt(X1,c419)
      | ~ sub(X0,firma_1_1) ),
    inference(resolution,[status(thm)],[f21182,f10225]) ).

fof(f21187,plain,
    ! [X0,X1,X2,X3] :
      ( ~ agt(X2,c419)
      | ~ sub(X3,firma_1_1)
      | ~ temp(X2,X1)
      | ~ sub(X0,jahr__1_1)
      | ~ obj(X2,X3)
      | ~ attr(X1,X0)
      | ~ val(X0,c508) ),
    inference(resolution,[status(thm)],[f21184,f20928]) ).

fof(f21188,plain,
    ! [X0,X1,X2] :
      ( ~ agt(X1,c419)
      | ~ sub(X2,firma_1_1)
      | ~ temp(X1,X0)
      | ~ sub(c518,jahr__1_1)
      | ~ obj(X1,X2)
      | ~ attr(X0,c518) ),
    inference(resolution,[status(thm)],[f21187,f20831]) ).

fof(f21189,plain,
    ! [X0,X1,X2] :
      ( ~ agt(X1,c419)
      | ~ temp(X1,X2)
      | ~ attr(X2,c518)
      | ~ obj(X1,X0)
      | ~ sub(X0,firma_1_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21188,f20830]) ).

fof(f21440,plain,
    ! [X0,X1] :
      ( ~ temp(X0,c517)
      | ~ sub(X1,firma_1_1)
      | ~ obj(X0,X1)
      | ~ agt(X0,c419) ),
    inference(resolution,[status(thm)],[f20829,f21189]) ).

fof(f21441,plain,
    ! [X0] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(c519,X0)
      | ~ agt(c519,c419) ),
    inference(resolution,[status(thm)],[f21440,f20835]) ).

fof(f21442,plain,
    ! [X0] :
      ( ~ sub(X0,firma_1_1)
      | ~ obj(c519,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f21441,f20832]) ).

fof(f21443,plain,
    ~ obj(c519,c506),
    inference(resolution,[status(thm)],[f21442,f20826]) ).

fof(f21445,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21443,f20833]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+47 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34  % Computer : n013.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Mon Sep 21 15:06:21 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.23/0.49  % Drodi V4.1.1
% 32.63/4.67  % Refutation found
% 32.63/4.67  % SZS status Theorem for theBenchmark: Theorem is valid
% 32.63/4.67  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.69/4.77  % Elapsed time: 4.415098 seconds
% 7.69/4.77  % CPU time: 33.338012 seconds
% 7.69/4.77  % Total memory used: 573.686 MB
% 7.69/4.77  % Net memory used: 559.067 MB
%------------------------------------------------------------------------------