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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR113+9 : 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 : n019.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 07:04:35 AM UTC 2026

% Result   : Theorem 100.79s 17.51s
% Output   : CNFRefutation 100.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :  313 (   0 equ)
%            Maximal formula atoms :  258 (  13 avg)
%            Number of connectives :  313 (  24   ~;  19   |; 268   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  258 (  14 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-12 aty)
%            Number of functors    :   61 (  61 usr;  59 con; 0-2 aty)
%            Number of variables   :   39 (   6 sgn   8   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_003_mira_wp_176,hypothesis,
    ( varia('statue$u1$u1','varia$uc')
    & refer('statue$u1$u1','refer$uc')
    & quant('statue$u1$u1',one)
    & gener('statue$u1$u1',ge)
    & fact('statue$u1$u1',real)
    & etype('statue$u1$u1',int0)
    & card('statue$u1$u1',int1)
    & sort('statue$u1$u1',d)
    & varia('freiheit$u1$u1','varia$uc')
    & refer('freiheit$u1$u1','refer$uc')
    & quant('freiheit$u1$u1',one)
    & gener('freiheit$u1$u1',ge)
    & fact('freiheit$u1$u1',real)
    & etype('freiheit$u1$u1',int0)
    & card('freiheit$u1$u1',int1)
    & sort('freiheit$u1$u1',io)
    & sort('freiheit$u1$u1',as)
    & varia(c18018,'varia$uc')
    & refer(c18018,'refer$uc')
    & quant(c18018,'quant$uc')
    & gener(c18018,'gener$uc')
    & fact(c18018,real)
    & etype(c18018,'etype$uc')
    & card(c18018,'card$uc')
    & sort(c18018,ent)
    & sort('wissen$u0',fe)
    & varia(c17941,'varia$uc')
    & refer(c17941,indet)
    & quant(c17941,one)
    & gener(c17941,sp)
    & fact(c17941,real)
    & etype(c17941,int0)
    & card(c17941,int1)
    & sort(c17941,na)
    & varia(c17940,con)
    & refer(c17940,det)
    & quant(c17940,one)
    & gener(c17940,sp)
    & fact(c17940,real)
    & etype(c17940,int0)
    & card(c17940,int1)
    & sort(c17940,io)
    & sort(c17940,d)
    & varia('erreichen$u2$u1','varia$uc')
    & refer('erreichen$u2$u1','refer$uc')
    & quant('erreichen$u2$u1',one)
    & gener('erreichen$u2$u1',ge)
    & fact('erreichen$u2$u1',real)
    & etype('erreichen$u2$u1',int0)
    & card('erreichen$u2$u1',int1)
    & sort('erreichen$u2$u1',ad)
    & varia(c17930,con)
    & refer(c17930,det)
    & quant(c17930,one)
    & gener(c17930,sp)
    & fact(c17930,real)
    & etype(c17930,int0)
    & card(c17930,int1)
    & sort(c17930,ad)
    & varia('bildung$u1$u1','varia$uc')
    & refer('bildung$u1$u1','refer$uc')
    & quant('bildung$u1$u1',one)
    & gener('bildung$u1$u1',ge)
    & fact('bildung$u1$u1',real)
    & etype('bildung$u1$u1',int0)
    & card('bildung$u1$u1',int1)
    & sort('bildung$u1$u1',ad)
    & varia(c17925,con)
    & refer(c17925,det)
    & quant(c17925,one)
    & gener(c17925,sp)
    & fact(c17925,real)
    & etype(c17925,int0)
    & card(c17925,int1)
    & sort(c17925,ad)
    & varia('zugang$u1$u1','varia$uc')
    & refer('zugang$u1$u1','refer$uc')
    & quant('zugang$u1$u1',one)
    & gener('zugang$u1$u1',ge)
    & fact('zugang$u1$u1',real)
    & etype('zugang$u1$u1',int0)
    & card('zugang$u1$u1',int1)
    & sort('zugang$u1$u1',d)
    & varia(c17919,'varia$uc')
    & refer(c17919,'refer$uc')
    & quant(c17919,one)
    & gener(c17919,'gener$uc')
    & fact(c17919,real)
    & etype(c17919,int0)
    & card(c17919,int1)
    & sort(c17919,d)
    & varia('b$u$u374rger$u$u1$u1','varia$uc')
    & refer('b$u$u374rger$u$u1$u1','refer$uc')
    & quant('b$u$u374rger$u$u1$u1',one)
    & gener('b$u$u374rger$u$u1$u1',ge)
    & fact('b$u$u374rger$u$u1$u1',real)
    & etype('b$u$u374rger$u$u1$u1',int0)
    & card('b$u$u374rger$u$u1$u1',int1)
    & sort('b$u$u374rger$u$u1$u1',d)
    & varia(c17913,con)
    & refer(c17913,det)
    & quant(c17913,all)
    & gener(c17913,'gener$uc')
    & fact(c17913,real)
    & etype(c17913,int1)
    & card(c17913,cons('x$uconstant',cons(int1,nil)))
    & sort(c17913,d)
    & sort('usa$u0',fe)
    & varia('land$u1$u1','varia$uc')
    & refer('land$u1$u1','refer$uc')
    & quant('land$u1$u1',one)
    & gener('land$u1$u1',ge)
    & fact('land$u1$u1',real)
    & etype('land$u1$u1',int0)
    & card('land$u1$u1',int1)
    & sort('land$u1$u1',io)
    & sort('land$u1$u1',d)
    & varia(c17911,'varia$uc')
    & refer(c17911,indet)
    & quant(c17911,one)
    & gener(c17911,sp)
    & fact(c17911,real)
    & etype(c17911,int0)
    & card(c17911,int1)
    & sort(c17911,na)
    & varia(c17910,con)
    & refer(c17910,det)
    & quant(c17910,one)
    & gener(c17910,sp)
    & fact(c17910,real)
    & etype(c17910,int0)
    & card(c17910,int1)
    & sort(c17910,io)
    & sort(c17910,d)
    & varia('zeichen$u1$u1','varia$uc')
    & refer('zeichen$u1$u1','refer$uc')
    & quant('zeichen$u1$u1',one)
    & gener('zeichen$u1$u1',ge)
    & fact('zeichen$u1$u1',real)
    & etype('zeichen$u1$u1',int0)
    & card('zeichen$u1$u1',int1)
    & sort('zeichen$u1$u1',io)
    & varia(c17899,con)
    & refer(c17899,det)
    & quant(c17899,one)
    & gener(c17899,sp)
    & fact(c17899,real)
    & etype(c17899,int0)
    & card(c17899,int1)
    & sort(c17899,io)
    & varia('buch$u$u1$u1','varia$uc')
    & refer('buch$u$u1$u1','refer$uc')
    & quant('buch$u$u1$u1',one)
    & gener('buch$u$u1$u1',ge)
    & fact('buch$u$u1$u1',real)
    & etype('buch$u$u1$u1',int0)
    & card('buch$u$u1$u1',int1)
    & sort('buch$u$u1$u1',io)
    & sort('buch$u$u1$u1',d)
    & varia(c17893,'varia$uc')
    & refer(c17893,indet)
    & quant(c17893,one)
    & gener(c17893,sp)
    & fact(c17893,real)
    & etype(c17893,int0)
    & card(c17893,int1)
    & sort(c17893,io)
    & sort(c17893,d)
    & varia('fackel$u1$u1','varia$uc')
    & refer('fackel$u1$u1','refer$uc')
    & quant('fackel$u1$u1',one)
    & gener('fackel$u1$u1',ge)
    & fact('fackel$u1$u1',real)
    & etype('fackel$u1$u1',int0)
    & card('fackel$u1$u1',int1)
    & sort('fackel$u1$u1',d)
    & varia(c17888,'varia$uc')
    & refer(c17888,indet)
    & quant(c17888,one)
    & gener(c17888,sp)
    & fact(c17888,real)
    & etype(c17888,int0)
    & card(c17888,int1)
    & sort(c17888,d)
    & sort('new$uyork$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('stadt$u$u1$u1','varia$uc')
    & refer('stadt$u$u1$u1','refer$uc')
    & quant('stadt$u$u1$u1',one)
    & gener('stadt$u$u1$u1',ge)
    & fact('stadt$u$u1$u1',real)
    & etype('stadt$u$u1$u1',int0)
    & card('stadt$u$u1$u1',int1)
    & sort('stadt$u$u1$u1',io)
    & sort('stadt$u$u1$u1',d)
    & varia(c17885,'varia$uc')
    & refer(c17885,indet)
    & quant(c17885,one)
    & gener(c17885,sp)
    & fact(c17885,real)
    & etype(c17885,int0)
    & card(c17885,int1)
    & sort(c17885,na)
    & varia(c17884,con)
    & refer(c17884,det)
    & quant(c17884,one)
    & gener(c17884,sp)
    & fact(c17884,real)
    & etype(c17884,int0)
    & card(c17884,int1)
    & sort(c17884,io)
    & sort(c17884,d)
    & varia('freiheitsstatue$u1$u1','varia$uc')
    & refer('freiheitsstatue$u1$u1','refer$uc')
    & quant('freiheitsstatue$u1$u1',one)
    & gener('freiheitsstatue$u1$u1',ge)
    & fact('freiheitsstatue$u1$u1',real)
    & etype('freiheitsstatue$u1$u1',int0)
    & card('freiheitsstatue$u1$u1',int1)
    & sort('freiheitsstatue$u1$u1',d)
    & varia(c17877,con)
    & refer(c17877,det)
    & quant(c17877,one)
    & gener(c17877,sp)
    & fact(c17877,real)
    & etype(c17877,int0)
    & card(c17877,int1)
    & sort(c17877,d)
    & sub('freiheitsstatue$u1$u1','statue$u1$u1')
    & assoc('freiheitsstatue$u1$u1','freiheit$u1$u1')
    & 'tupl$up12'(c18018,c17877,c17884,c17888,c17893,c17899,c17910,c17913,c17919,c17925,c17930,c17940)
    & val(c17941,'wissen$u0')
    & sub(c17941,'name$u1$u1')
    & sub(c17940,'stadt$u$u1$u1')
    & attr(c17940,c17941)
    & subs(c17930,'erreichen$u2$u1')
    & subs(c17925,'bildung$u1$u1')
    & sub(c17919,'zugang$u1$u1')
    & pred(c17913,'b$u$u374rger$u$u1$u1')
    & val(c17911,'usa$u0')
    & sub(c17911,'name$u1$u1')
    & sub(c17910,'land$u1$u1')
    & attr(c17910,c17911)
    & sub(c17899,'zeichen$u1$u1')
    & sub(c17893,'buch$u$u1$u1')
    & sub(c17888,'fackel$u1$u1')
    & val(c17885,'new$uyork$u0')
    & sub(c17885,'name$u1$u1')
    & sub(c17884,'stadt$u$u1$u1')
    & attr(c17884,c17885)
    & sub(c17877,'freiheitsstatue$u1$u1') ) ).

fof(member_first,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)) ).

fof(member_second,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ) ).

fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,
    ! [X0,X1,X2] :
      ( ( sub(X0,X1)
        & member(X1,cons('eigenname$u1$u1',cons('familiename$u1$u1',cons('name$u1$u1',nil))))
        & attr(X2,X0) )
     => ? [X3] :
          ( subs(X3,'stehen$u1$ub')
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) ) ) ).

fof(synth_qa07_003_mira_wp_176,conjecture,
    ? [X0,X1,X2,X3] :
      ( val(X0,'usa$u0')
      & sub(X0,'name$u1$u1')
      & scar(X2,X3)
      & attr(X1,X0) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0,X1,X2,X3] :
        ( val(X0,'usa$u0')
        & sub(X0,'name$u1$u1')
        & scar(X2,X3)
        & attr(X1,X0) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_003_mira_wp_176]) ).

cnf(c4,plain,
    attr(c17910,c17911),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(c5,plain,
    sub(c17911,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(c252,plain,
    val(c17911,'usa$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(c256,plain,
    sub(c17885,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(c257,plain,
    attr(c17884,c17885),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(c258,plain,
    member(X0,cons(X0,X1)),
    inference(clausification,[status(esa)],[member_first]) ).

cnf(c259,plain,
    ( member(X0,cons(X2,X1))
    | ~ member(X0,X1) ),
    inference(clausification,[status(esa)],[member_second]) ).

cnf(c477,plain,
    ( scar(sK287(X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,X0)
    | ~ member(X0,cons('eigenname$u1$u1',cons('familiename$u1$u1',cons('name$u1$u1',nil)))) ),
    inference(clausification,[status(esa)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

cnf(c578,plain,
    ( ~ scar(X2,X3)
    | ~ val(X1,'usa$u0')
    | ~ sub(X1,'name$u1$u1')
    | ~ attr(X0,X1) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ member(X1,cons('familiename$u1$u1',cons('name$u1$u1',nil)))
    | scar(sK287(X2),X2)
    | ~ attr(X2,X0)
    | ~ sub(X0,X1) ),
    inference(resolution,[status(thm)],[c477,c259]) ).

cnf(d1,plain,
    ( ~ member(X1,cons('name$u1$u1',nil))
    | scar(sK287(X2),X2)
    | ~ attr(X2,X0)
    | ~ sub(X0,X1) ),
    inference(resolution,[status(thm)],[d0,c259]) ).

cnf(d2,plain,
    ( scar(sK287(X1),X1)
    | ~ attr(X1,X0)
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d1,c258]) ).

cnf(d3,plain,
    ( scar(sK287(c17884),c17884)
    | ~ sub(c17885,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d2,c257]) ).

cnf(d4,plain,
    scar(sK287(c17884),c17884),
    inference(resolution,[status(thm)],[c256,d3]) ).

cnf(d5,plain,
    ( ~ attr(X1,X0)
    | ~ val(X0,'usa$u0')
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d4,c578]) ).

cnf(d6,plain,
    ( ~ val(c17911,'usa$u0')
    | ~ sub(c17911,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d5,c4]) ).

cnf(d7,plain,
    ~ val(c17911,'usa$u0'),
    inference(resolution,[status(thm)],[c5,d6]) ).

cnf(d8,plain,
    $false,
    inference(resolution,[status(thm)],[c252,d7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR113+9 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n019.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 01:04:35 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.79/17.51  % SZS status Theorem for theBenchmark.p
% 100.79/17.51  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------