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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR113+27 : 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 : n009.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 93.92s 16.08s
% Output   : CNFRefutation 93.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :  218 (   0 equ)
%            Maximal formula atoms :  165 (   9 avg)
%            Number of connectives :  220 (  24   ~;  19   |; 175   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  165 (  11 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-9 aty)
%            Number of functors    :   52 (  52 usr;  50 con; 0-2 aty)
%            Number of variables   :   41 (   8 sgn   8   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_003_qapn_26_a19713,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(c78466,'varia$uc')
    & refer(c78466,det)
    & quant(c78466,one)
    & gener(c78466,sp)
    & fact(c78466,real)
    & etype(c78466,int0)
    & card(c78466,int1)
    & sort(c78466,d)
    & varia(c79239,'varia$uc')
    & refer(c79239,'refer$uc')
    & quant(c79239,'quant$uc')
    & gener(c79239,'gener$uc')
    & fact(c79239,real)
    & etype(c79239,'etype$uc')
    & card(c79239,'card$uc')
    & sort(c79239,ent)
    & sort('new$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(c78538,'varia$uc')
    & refer(c78538,indet)
    & quant(c78538,one)
    & gener(c78538,sp)
    & fact(c78538,real)
    & etype(c78538,int0)
    & card(c78538,int1)
    & sort(c78538,na)
    & varia(c78537,con)
    & refer(c78537,det)
    & quant(c78537,one)
    & gener(c78537,sp)
    & fact(c78537,real)
    & etype(c78537,int0)
    & card(c78537,int1)
    & sort(c78537,io)
    & sort(c78537,d)
    & varia('freiheitsstatue$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$u1',d)
    & varia(c78531,con)
    & refer(c78531,det)
    & quant(c78531,one)
    & gener(c78531,sp)
    & fact(c78531,real)
    & etype(c78531,int0)
    & card(c78531,int1)
    & sort(c78531,d)
    & varia('wort$u2$u1','varia$uc')
    & refer('wort$u2$u1','refer$uc')
    & quant('wort$u2$u1',one)
    & gener('wort$u2$u1',ge)
    & fact('wort$u2$u1',real)
    & etype('wort$u2$u1',int0)
    & card('wort$u2$u1',int1)
    & sort('wort$u2$u1',io)
    & sort('wort$u2$u1',d)
    & varia(c78522,'varia$uc')
    & refer(c78522,indet)
    & quant(c78522,mult)
    & gener(c78522,'gener$uc')
    & fact(c78522,real)
    & etype(c78522,int1)
    & card(c78522,cons('x$uconstant',cons(int1,nil)))
    & sort(c78522,io)
    & sort(c78522,d)
    & sort('ber$u$u374hmt$u1$u1',nq)
    & varia(c78520,con)
    & refer(c78520,det)
    & quant(c78520,mult)
    & gener(c78520,sp)
    & fact(c78520,real)
    & etype(c78520,int1)
    & card(c78520,cons('x$uconstant',cons(int1,nil)))
    & sort(c78520,o)
    & varia('freiheit$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$u1',as)
    & varia(c78495,con)
    & refer(c78495,det)
    & quant(c78495,one)
    & gener(c78495,sp)
    & fact(c78495,real)
    & etype(c78495,int0)
    & card(c78495,int1)
    & sort(c78495,io)
    & sort(c78495,as)
    & varia('sich$u1$u1','varia$uc')
    & refer('sich$u1$u1','refer$uc')
    & quant('sich$u1$u1',one)
    & gener('sich$u1$u1','gener$uc')
    & fact('sich$u1$u1',real)
    & etype('sich$u1$u1',int0)
    & card('sich$u1$u1',int1)
    & sort('sich$u1$u1',o)
    & varia(c78489,'varia$uc')
    & refer(c78489,'refer$uc')
    & quant(c78489,one)
    & gener(c78489,'gener$uc')
    & fact(c78489,real)
    & etype(c78489,int0)
    & card(c78489,int1)
    & sort(c78489,o)
    & varia('masse$u1$u1','varia$uc')
    & refer('masse$u1$u1','refer$uc')
    & quant('masse$u1$u1','quant$uc')
    & gener('masse$u1$u1',ge)
    & fact('masse$u1$u1',real)
    & etype('masse$u1$u1',int1)
    & card('masse$u1$u1','card$uc')
    & sort('masse$u1$u1',io)
    & varia(c78483,'varia$uc')
    & refer(c78483,indet)
    & quant(c78483,mult)
    & gener(c78483,'gener$uc')
    & fact(c78483,real)
    & etype(c78483,int2)
    & card(c78483,cons('x$uconstant',cons(int1,nil)))
    & sort(c78483,io)
    & sub('freiheitsstatue$u1$u1','statue$u1$u1')
    & assoc('freiheitsstatue$u1$u1','freiheit$u1$u1')
    & 'tupl$up9'(c79239,c78466,c78483,c78489,c78495,c78520,c78522,c78531,c78537)
    & val(c78538,'new$uyork$u0')
    & sub(c78538,'name$u1$u1')
    & sub(c78537,'stadt$u$u1$u1')
    & attr(c78537,c78538)
    & sub(c78531,'freiheitsstatue$u1$u1')
    & pred(c78522,'wort$u2$u1')
    & prop(c78520,'ber$u$u374hmt$u1$u1')
    & sub(c78495,'freiheit$u1$u1')
    & sub(c78489,'sich$u1$u1')
    & pred(c78483,'masse$u1$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_qapn_26_a19713,conjecture,
    ? [X0,X1,X2,X3] :
      ( val(X0,'new$uyork$u0')
      & sub(X0,'name$u1$u1')
      & scar(X2,X3)
      & attr(X1,X0) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0,X1,X2,X3] :
        ( val(X0,'new$uyork$u0')
        & sub(X0,'name$u1$u1')
        & scar(X2,X3)
        & attr(X1,X0) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_003_qapn_26_a19713]) ).

cnf(c3,plain,
    attr(c78537,c78538),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(c4,plain,
    sub(c78538,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(c160,plain,
    val(c78538,'new$uyork$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(c165,plain,
    member(X0,cons(X0,X1)),
    inference(clausification,[status(esa)],[member_first]) ).

cnf(c166,plain,
    ( member(X0,cons(X2,X1))
    | ~ member(X0,X1) ),
    inference(clausification,[status(esa)],[member_second]) ).

cnf(c384,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(c483,plain,
    ( ~ scar(X2,X3)
    | ~ val(X1,'new$uyork$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)],[c384,c166]) ).

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,c166]) ).

cnf(d2,plain,
    ( scar(sK287(X1),X1)
    | ~ attr(X1,X0)
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d1,c165]) ).

cnf(d3,plain,
    ( scar(sK287(c78537),c78537)
    | ~ sub(c78538,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d2,c3]) ).

cnf(d4,plain,
    scar(sK287(c78537),c78537),
    inference(resolution,[status(thm)],[c4,d3]) ).

cnf(d5,plain,
    ( ~ val(X0,'new$uyork$u0')
    | ~ attr(X1,X0)
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d4,c483]) ).

cnf(d6,plain,
    ( ~ attr(X0,c78538)
    | ~ sub(c78538,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d5,c160]) ).

cnf(d7,plain,
    ~ attr(X0,c78538),
    inference(resolution,[status(thm)],[c4,d6]) ).

cnf(d8,plain,
    $false,
    inference(resolution,[status(thm)],[d7,c3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR113+27 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n009.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Sun Sep 27 01:03:29 UTC 2026
% 0.08/0.34  % CPUTime  : 
% 0.08/0.34  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 93.92/16.08  % SZS status Theorem for theBenchmark.p
% 93.92/16.08  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------