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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR113+25 : 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 : n012.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 07:04:33 AM UTC 2026

% Result   : Theorem 40.13s 10.44s
% Output   : CNFRefutation 40.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  10 unt;   0 def)
%            Number of atoms       :  291 (   0 equ)
%            Maximal formula atoms :  248 (  14 avg)
%            Number of connectives :  288 (  17   ~;  12   |; 258   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  248 (  16 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-9 aty)
%            Number of functors    :   64 (  64 usr;  62 con; 0-2 aty)
%            Number of variables   :   29 (   7 sgn   5   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_003_mw3_112,hypothesis,
    ( varia('wert$u1$u1','varia$uc')
    & refer('wert$u1$u1','refer$uc')
    & quant('wert$u1$u1',one)
    & gener('wert$u1$u1',ge)
    & fact('wert$u1$u1',real)
    & etype('wert$u1$u1',int0)
    & card('wert$u1$u1',int1)
    & sort('wert$u1$u1',oa)
    & sort('wert$u1$u1',io)
    & varia('re$u1$u1','varia$uc')
    & refer('re$u1$u1','refer$uc')
    & quant('re$u1$u1',one)
    & gener('re$u1$u1','gener$uc')
    & fact('re$u1$u1',real)
    & etype('re$u1$u1',int0)
    & card('re$u1$u1',int1)
    & sort('re$u1$u1',t)
    & varia('erkennung$u1$u1','varia$uc')
    & refer('erkennung$u1$u1','refer$uc')
    & quant('erkennung$u1$u1',one)
    & gener('erkennung$u1$u1',ge)
    & fact('erkennung$u1$u1',real)
    & etype('erkennung$u1$u1',int0)
    & card('erkennung$u1$u1',int1)
    & sort('erkennung$u1$u1',ad)
    & varia('banner$u1$u1','varia$uc')
    & refer('banner$u1$u1','refer$uc')
    & quant('banner$u1$u1',one)
    & gener('banner$u1$u1',ge)
    & fact('banner$u1$u1',real)
    & etype('banner$u1$u1',int0)
    & card('banner$u1$u1',int1)
    & sort('banner$u1$u1',d)
    & varia('stern$u1$u1','varia$uc')
    & refer('stern$u1$u1','refer$uc')
    & quant('stern$u1$u1',one)
    & gener('stern$u1$u1',ge)
    & fact('stern$u1$u1',real)
    & etype('stern$u1$u1',int0)
    & card('stern$u1$u1',int1)
    & sort('stern$u1$u1',d)
    & varia('statue$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$u1',as)
    & varia(c54159,'varia$uc')
    & refer(c54159,'refer$uc')
    & quant(c54159,'quant$uc')
    & gener(c54159,'gener$uc')
    & fact(c54159,real)
    & etype(c54159,'etype$uc')
    & card(c54159,'card$uc')
    & sort(c54159,ent)
    & sort('sam$u0',fe)
    & varia('eigenname$u1$u1','varia$uc')
    & refer('eigenname$u1$u1','refer$uc')
    & quant('eigenname$u1$u1',one)
    & gener('eigenname$u1$u1',ge)
    & fact('eigenname$u1$u1',real)
    & etype('eigenname$u1$u1',int0)
    & card('eigenname$u1$u1',int1)
    & sort('eigenname$u1$u1',na)
    & varia(c53936,'varia$uc')
    & refer(c53936,indet)
    & quant(c53936,one)
    & gener(c53936,sp)
    & fact(c53936,real)
    & etype(c53936,int0)
    & card(c53936,int1)
    & sort(c53936,na)
    & varia(c53935,con)
    & refer(c53935,det)
    & quant(c53935,one)
    & gener(c53935,sp)
    & fact(c53935,real)
    & etype(c53935,int0)
    & card(c53935,int1)
    & sort(c53935,d)
    & varia('uncle$u1$u1','varia$uc')
    & refer('uncle$u1$u1','refer$uc')
    & quant('uncle$u1$u1',one)
    & gener('uncle$u1$u1',ge)
    & fact('uncle$u1$u1',real)
    & etype('uncle$u1$u1',int0)
    & card('uncle$u1$u1',int1)
    & sort('uncle$u1$u1',o)
    & varia(c53930,'varia$uc')
    & refer(c53930,'refer$uc')
    & quant(c53930,one)
    & gener(c53930,'gener$uc')
    & fact(c53930,real)
    & etype(c53930,int0)
    & card(c53930,int1)
    & sort(c53930,o)
    & varia('sternenbanner$u1$u1','varia$uc')
    & refer('sternenbanner$u1$u1','refer$uc')
    & quant('sternenbanner$u1$u1',one)
    & gener('sternenbanner$u1$u1',ge)
    & fact('sternenbanner$u1$u1',real)
    & etype('sternenbanner$u1$u1',int0)
    & card('sternenbanner$u1$u1',int1)
    & sort('sternenbanner$u1$u1',d)
    & varia(c53927,con)
    & refer(c53927,det)
    & quant(c53927,mult)
    & gener(c53927,sp)
    & fact(c53927,real)
    & etype(c53927,int1)
    & card(c53927,cons('x$uconstant',cons(int1,nil)))
    & sort(c53927,d)
    & sort('usa$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('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(c53884,'varia$uc')
    & refer(c53884,indet)
    & quant(c53884,one)
    & gener(c53884,sp)
    & fact(c53884,real)
    & etype(c53884,int0)
    & card(c53884,int1)
    & sort(c53884,na)
    & varia(c53883,con)
    & refer(c53883,det)
    & quant(c53883,one)
    & gener(c53883,sp)
    & fact(c53883,real)
    & etype(c53883,int0)
    & card(c53883,int1)
    & sort(c53883,io)
    & sort(c53883,d)
    & varia('symbol$u1$u1','varia$uc')
    & refer('symbol$u1$u1','refer$uc')
    & quant('symbol$u1$u1',one)
    & gener('symbol$u1$u1',ge)
    & fact('symbol$u1$u1',real)
    & etype('symbol$u1$u1',int0)
    & card('symbol$u1$u1',int1)
    & sort('symbol$u1$u1',io)
    & varia(c53874,'varia$uc')
    & refer(c53874,indet)
    & quant(c53874,one)
    & gener(c53874,sp)
    & fact(c53874,real)
    & etype(c53874,int0)
    & card(c53874,int1)
    & sort(c53874,io)
    & varia('mensch$u1$u1','varia$uc')
    & refer('mensch$u1$u1','refer$uc')
    & quant('mensch$u1$u1',one)
    & gener('mensch$u1$u1',ge)
    & fact('mensch$u1$u1',real)
    & etype('mensch$u1$u1',int0)
    & card('mensch$u1$u1',int1)
    & sort('mensch$u1$u1',d)
    & varia(c53870,'varia$uc')
    & refer(c53870,'refer$uc')
    & quant(c53870,many)
    & gener(c53870,'gener$uc')
    & fact(c53870,real)
    & etype(c53870,int1)
    & card(c53870,cons('x$uconstant',cons(int1,nil)))
    & sort(c53870,d)
    & varia('wiedererkennungswert$u1$u1','varia$uc')
    & refer('wiedererkennungswert$u1$u1','refer$uc')
    & quant('wiedererkennungswert$u1$u1',one)
    & gener('wiedererkennungswert$u1$u1',ge)
    & fact('wiedererkennungswert$u1$u1',real)
    & etype('wiedererkennungswert$u1$u1',int0)
    & card('wiedererkennungswert$u1$u1',int1)
    & sort('wiedererkennungswert$u1$u1',oa)
    & sort('wiedererkennungswert$u1$u1',io)
    & sort('hoch$u1$u1',mq)
    & varia(c53857,'varia$uc')
    & refer(c53857,indet)
    & quant(c53857,one)
    & gener(c53857,sp)
    & fact(c53857,real)
    & etype(c53857,int0)
    & card(c53857,int1)
    & sort(c53857,oa)
    & sort(c53857,io)
    & varia('freiheitsstatue$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$u1',d)
    & varia(c53814,con)
    & refer(c53814,det)
    & quant(c53814,one)
    & gener(c53814,sp)
    & fact(c53814,real)
    & etype(c53814,int0)
    & card(c53814,int1)
    & sort(c53814,d)
    & sub('wiedererkennungswert$u1$u1','wert$u1$u1')
    & assoc('wiedererkennungswert$u1$u1','re$u1$u1')
    & assoc('wiedererkennungswert$u1$u1','erkennung$u1$u1')
    & sub('sternenbanner$u1$u1','banner$u1$u1')
    & assoc('sternenbanner$u1$u1','stern$u1$u1')
    & sub('freiheitsstatue$u1$u1','statue$u1$u1')
    & assoc('freiheitsstatue$u1$u1','freiheit$u1$u1')
    & 'tupl$up9'(c54159,c53814,c53857,c53870,c53874,c53883,c53927,c53930,c53935)
    & val(c53936,'sam$u0')
    & sub(c53936,'eigenname$u1$u1')
    & sub(c53935,'mensch$u1$u1')
    & attr(c53935,c53936)
    & sub(c53930,'uncle$u1$u1')
    & pred(c53927,'sternenbanner$u1$u1')
    & val(c53884,'usa$u0')
    & sub(c53884,'name$u1$u1')
    & sub(c53883,'land$u1$u1')
    & attr(c53883,c53884)
    & sub(c53874,'symbol$u1$u1')
    & pred(c53870,'mensch$u1$u1')
    & sub(c53857,'wiedererkennungswert$u1$u1')
    & prop(c53857,'hoch$u1$u1')
    & sub(c53814,'freiheitsstatue$u1$u1') ) ).

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

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_mw3_112,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_mw3_112]) ).

cnf(c5,plain,
    attr(c53883,c53884),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mw3_112]) ).

cnf(c7,plain,
    sub(c53884,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mw3_112]) ).

cnf(c8,plain,
    val(c53884,'usa$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mw3_112]) ).

cnf(c11,plain,
    attr(c53935,c53936),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mw3_112]) ).

cnf(c13,plain,
    sub(c53936,'eigenname$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_mw3_112]) ).

cnf(c248,plain,
    member(X0,cons(X0,X1)),
    inference(clausification,[status(esa)],[member_first]) ).

cnf(c402,plain,
    ( scar(sK223(X0),X0)
    | ~ sub(X1,X2)
    | ~ member(X2,cons('eigenname$u1$u1',cons('familiename$u1$u1',cons('name$u1$u1',nil))))
    | ~ attr(X0,X1) ),
    inference(clausification,[status(esa)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

cnf(c457,plain,
    ( ~ val(X1,'usa$u0')
    | ~ sub(X1,'name$u1$u1')
    | ~ scar(X2,X3)
    | ~ attr(X0,X1) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( scar(sK223(X1),X1)
    | ~ attr(X1,X0)
    | ~ sub(X0,'eigenname$u1$u1') ),
    inference(resolution,[status(thm)],[c402,c248]) ).

cnf(d1,plain,
    ( scar(sK223(c53935),c53935)
    | ~ sub(c53936,'eigenname$u1$u1') ),
    inference(resolution,[status(thm)],[d0,c11]) ).

cnf(d2,plain,
    scar(sK223(c53935),c53935),
    inference(resolution,[status(thm)],[c13,d1]) ).

cnf(d3,plain,
    ( ~ val(X0,'usa$u0')
    | ~ attr(X1,X0)
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d2,c457]) ).

cnf(d4,plain,
    ( ~ attr(X0,c53884)
    | ~ sub(c53884,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d3,c8]) ).

cnf(d5,plain,
    ~ attr(X0,c53884),
    inference(resolution,[status(thm)],[c7,d4]) ).

cnf(d6,plain,
    $false,
    inference(resolution,[status(thm)],[d5,c5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR113+25 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.29  % Computer : n012.cluster.edu
% 0.04/0.29  % Model    : x86_64 x86_64
% 0.04/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29  % Memory   : 8046.5625MB
% 0.04/0.29  % OS       : Linux 6.8.0-71-generic
% 0.04/0.29  % CPULimit : 300
% 0.04/0.29  % WCLimit  : 300
% 0.04/0.29  % DateTime : Sun Sep 27 01:02:34 UTC 2026
% 0.04/0.29  % CPUTime  : 
% 0.04/0.29  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.13/10.44  % SZS status Theorem for theBenchmark.p
% 40.13/10.44  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------