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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR115+66 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 07:04:46 AM UTC 2026

% Result   : Theorem 67.69s 15.48s
% Output   : CNFRefutation 67.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   29 (  14 unt;   0 def)
%            Number of atoms       :  232 (   0 equ)
%            Maximal formula atoms :  127 (   8 avg)
%            Number of connectives :  271 (  68   ~;  56   |; 146   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  127 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :   45 (  45 usr;  45 con; 0-0 aty)
%            Number of variables   :   51 (  11 sgn   2   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_007_mira_wp_475_a19984,hypothesis,
    ( sort('bmw$u0',fe)
    & varia('firma$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$u1',d)
    & varia(c87,'varia$uc')
    & refer(c87,indet)
    & quant(c87,one)
    & gener(c87,sp)
    & fact(c87,real)
    & etype(c87,int0)
    & card(c87,int1)
    & sort(c87,na)
    & card(c1,int1994)
    & sort(c1,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$u1',me)
    & varia(c5,'varia$uc')
    & refer(c5,'refer$uc')
    & quant(c5,'quant$uc')
    & gener(c5,sp)
    & fact(c5,real)
    & etype(c5,'etype$uc')
    & card(c5,'card$uc')
    & sort(c5,ta)
    & sort(c5,oa)
    & sort(c5,me)
    & varia(c4,con)
    & refer(c4,det)
    & quant(c4,one)
    & gener(c4,sp)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,t)
    & gener('n374bernehmen$u1$u1',ge)
    & fact('n374bernehmen$u1$u1',real)
    & sort('n374bernehmen$u1$u1',da)
    & varia(c86,con)
    & refer(c86,det)
    & quant(c86,one)
    & gener(c86,sp)
    & fact(c86,real)
    & etype(c86,int0)
    & card(c86,int1)
    & sort(c86,io)
    & sort(c86,d)
    & gener(c3,sp)
    & fact(c3,real)
    & sort(c3,da)
    & sort('rover$u0',fe)
    & varia('name$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$u1',na)
    & sort('britisch$u$u1$u1',nq)
    & varia(c104,'varia$uc')
    & refer(c104,indet)
    & quant(c104,one)
    & gener(c104,sp)
    & fact(c104,real)
    & etype(c104,int0)
    & card(c104,int1)
    & sort(c104,na)
    & varia(c103,con)
    & refer(c103,det)
    & quant(c103,one)
    & gener(c103,sp)
    & fact(c103,real)
    & etype(c103,int0)
    & card(c103,int1)
    & sort(c103,io)
    & sort(c103,d)
    & varia('fabrikant$u1$u1','varia$uc')
    & refer('fabrikant$u1$u1','refer$uc')
    & quant('fabrikant$u1$u1',one)
    & gener('fabrikant$u1$u1',ge)
    & fact('fabrikant$u1$u1',real)
    & etype('fabrikant$u1$u1',int0)
    & card('fabrikant$u1$u1',int1)
    & sort('fabrikant$u1$u1',io)
    & sort('fabrikant$u1$u1',d)
    & sort('automobil$u1$u1',tq)
    & varia('autobauer$u1$u1','varia$uc')
    & refer('autobauer$u1$u1','refer$uc')
    & quant('autobauer$u1$u1',one)
    & gener('autobauer$u1$u1',ge)
    & fact('autobauer$u1$u1',real)
    & etype('autobauer$u1$u1',int0)
    & card('autobauer$u1$u1',int1)
    & sort('autobauer$u1$u1',io)
    & sort('autobauer$u1$u1',d)
    & val(c87,'bmw$u0')
    & sub(c87,'name$u1$u1')
    & sub(c86,'firma$u1$u1')
    & attr(c86,c87)
    & val(c5,c1)
    & sub(c5,'jahr$u$u1$u1')
    & attr(c4,c5)
    & temp(c3,c4)
    & subs(c3,'n374bernehmen$u1$u1')
    & obj(c3,c103)
    & agt(c3,c86)
    & val(c104,'rover$u0')
    & sub(c104,'name$u1$u1')
    & sub(c103,'autobauer$u1$u1')
    & prop(c103,'britisch$u$u1$u1')
    & attr(c103,c104)
    & sub('autobauer$u1$u1','fabrikant$u1$u1')
    & assoc('autobauer$u1$u1','automobil$u1$u1') ) ).

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

fof(synth_qa07_007_mira_wp_475_a19984,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X5,X6)
      & val(X1,'bmw$u0')
      & temp(X3,X4)
      & subs(X3,'n374bernehmen$u1$u1')
      & sub(X5,'jahr$u$u1$u1')
      & sub(X1,'name$u1$u1')
      & sub(X0,'firma$u1$u1')
      & 'has$ucard$uleq'(X6,int1994)
      & attr(X4,X5)
      & attr(X2,X1)
      & agt(X3,X2) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X5,X6)
        & val(X1,'bmw$u0')
        & temp(X3,X4)
        & subs(X3,'n374bernehmen$u1$u1')
        & sub(X5,'jahr$u$u1$u1')
        & sub(X1,'name$u1$u1')
        & sub(X0,'firma$u1$u1')
        & 'has$ucard$uleq'(X6,int1994)
        & attr(X4,X5)
        & attr(X2,X1)
        & agt(X3,X2) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c7,plain,
    agt(c3,c86),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c9,plain,
    subs(c3,'n374bernehmen$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c10,plain,
    temp(c3,c4),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c11,plain,
    attr(c4,c5),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c12,plain,
    sub(c5,'jahr$u$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c13,plain,
    val(c5,c1),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c14,plain,
    attr(c86,c87),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c15,plain,
    sub(c86,'firma$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c16,plain,
    sub(c87,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c17,plain,
    val(c87,'bmw$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c108,plain,
    card(c1,int1994),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(c141,plain,
    ( 'has$ucard$uleq'(X0,X1)
    | ~ card(X0,X1) ),
    inference(clausification,[status(esa)],[has_card_eq]) ).

cnf(c219,plain,
    ( ~ sub(X1,'name$u1$u1')
    | ~ 'has$ucard$uleq'(X5,int1994)
    | ~ subs(X2,'n374bernehmen$u1$u1')
    | ~ sub(X6,'firma$u1$u1')
    | ~ attr(X3,X1)
    | ~ temp(X2,X4)
    | ~ val(X0,X5)
    | ~ attr(X4,X0)
    | ~ agt(X2,X3)
    | ~ val(X1,'bmw$u0')
    | ~ sub(X0,'jahr$u$u1$u1') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    'has$ucard$uleq'(c1,int1994),
    inference(resolution,[status(thm)],[c141,c108]) ).

cnf(d1,plain,
    ( ~ temp(X5,X4)
    | ~ subs(X5,'n374bernehmen$u1$u1')
    | ~ agt(X5,X3)
    | ~ val(X2,c1)
    | ~ val(X0,'bmw$u0')
    | ~ attr(X4,X2)
    | ~ attr(X3,X0)
    | ~ sub(X2,'jahr$u$u1$u1')
    | ~ sub(X1,'firma$u1$u1')
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d0,c219]) ).

cnf(d2,plain,
    ( ~ subs(c3,'n374bernehmen$u1$u1')
    | ~ agt(c3,X3)
    | ~ val(X2,'bmw$u0')
    | ~ val(X0,c1)
    | ~ attr(X3,X2)
    | ~ attr(c4,X0)
    | ~ sub(X2,'name$u1$u1')
    | ~ sub(X1,'firma$u1$u1')
    | ~ sub(X0,'jahr$u$u1$u1') ),
    inference(resolution,[status(thm)],[d1,c10]) ).

cnf(d3,plain,
    ( ~ agt(c3,X3)
    | ~ val(X2,c1)
    | ~ val(X0,'bmw$u0')
    | ~ attr(c4,X2)
    | ~ attr(X3,X0)
    | ~ sub(X2,'jahr$u$u1$u1')
    | ~ sub(X1,'firma$u1$u1')
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[c9,d2]) ).

cnf(d4,plain,
    ( ~ val(X2,'bmw$u0')
    | ~ val(X0,c1)
    | ~ attr(c4,X0)
    | ~ attr(c86,X2)
    | ~ sub(X2,'name$u1$u1')
    | ~ sub(X1,'firma$u1$u1')
    | ~ sub(X0,'jahr$u$u1$u1') ),
    inference(resolution,[status(thm)],[d3,c7]) ).

cnf(d5,plain,
    ( ~ val(X0,'bmw$u0')
    | ~ attr(c4,c5)
    | ~ attr(c86,X0)
    | ~ sub(c5,'jahr$u$u1$u1')
    | ~ sub(X1,'firma$u1$u1')
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d4,c13]) ).

cnf(d6,plain,
    ( ~ val(X1,'bmw$u0')
    | ~ attr(c86,X1)
    | ~ sub(c5,'jahr$u$u1$u1')
    | ~ sub(X1,'name$u1$u1')
    | ~ sub(X0,'firma$u1$u1') ),
    inference(resolution,[status(thm)],[c11,d5]) ).

cnf(d7,plain,
    ( ~ val(X0,'bmw$u0')
    | ~ attr(c86,X0)
    | ~ sub(X1,'firma$u1$u1')
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[c12,d6]) ).

cnf(d8,plain,
    ( ~ attr(c86,c87)
    | ~ sub(c87,'name$u1$u1')
    | ~ sub(X0,'firma$u1$u1') ),
    inference(resolution,[status(thm)],[d7,c17]) ).

cnf(d9,plain,
    ( ~ sub(c87,'name$u1$u1')
    | ~ sub(X0,'firma$u1$u1') ),
    inference(resolution,[status(thm)],[c14,d8]) ).

cnf(d10,plain,
    ~ sub(X0,'firma$u1$u1'),
    inference(resolution,[status(thm)],[c16,d9]) ).

cnf(d11,plain,
    $false,
    inference(resolution,[status(thm)],[d10,c15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR115+66 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44  % Computer : n015.cluster.edu
% 0.20/0.44  % Model    : x86_64 x86_64
% 0.20/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44  % Memory   : 8046.5625MB
% 0.20/0.44  % OS       : Linux 6.8.0-71-generic
% 0.20/0.44  % CPULimit : 300
% 0.20/0.44  % WCLimit  : 300
% 0.20/0.44  % DateTime : Sun Sep 27 01:13:44 UTC 2026
% 0.20/0.44  % CPUTime  : 
% 0.20/0.44  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.69/15.48  % SZS status Theorem for theBenchmark.p
% 67.69/15.48  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------