%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR113+29 : 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 : n006.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 126.05s 22.23s
% Output : CNFRefutation 126.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 240 ( 0 equ)
% Maximal formula atoms : 187 ( 10 avg)
% Number of connectives : 242 ( 24 ~; 19 |; 197 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 187 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-6 aty)
% Number of functors : 57 ( 57 usr; 55 con; 0-2 aty)
% Number of variables : 39 ( 6 sgn 8 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_003_qapw_40_a270,hypothesis,
( varia('kueste$u1$u1','varia$uc')
& refer('kueste$u1$u1','refer$uc')
& quant('kueste$u1$u1',one)
& gener('kueste$u1$u1',ge)
& fact('kueste$u1$u1',real)
& etype('kueste$u1$u1',int0)
& card('kueste$u1$u1',int1)
& sort('kueste$u1$u1',d)
& varia('west$u$u1$u1','varia$uc')
& refer('west$u$u1$u1','refer$uc')
& quant('west$u$u1$u1',one)
& gener('west$u$u1$u1',ge)
& fact('west$u$u1$u1',real)
& etype('west$u$u1$u1',int0)
& card('west$u$u1$u1',int1)
& sort('west$u$u1$u1',io)
& sort('west$u$u1$u1',d)
& gener('vereinigen$u1$u1',ge)
& fact('vereinigen$u1$u1',real)
& sort('vereinigen$u1$u1',dn)
& varia('statue$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$u1',as)
& varia(c770,'varia$uc')
& refer(c770,'refer$uc')
& quant(c770,'quant$uc')
& gener(c770,'gener$uc')
& fact(c770,real)
& etype(c770,'etype$uc')
& card(c770,'card$uc')
& sort(c770,ent)
& varia('freiheitsstatue$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$u1',d)
& sort('weit$u1$u1',mq)
& varia(c633,'varia$uc')
& refer(c633,indet)
& quant(c633,one)
& gener(c633,sp)
& fact(c633,real)
& etype(c633,int0)
& card(c633,int1)
& sort(c633,d)
& sort('usa$u0',fe)
& varia(c629,'varia$uc')
& refer(c629,indet)
& quant(c629,one)
& gener(c629,sp)
& fact(c629,real)
& etype(c629,int0)
& card(c629,int1)
& sort(c629,na)
& varia(c628,con)
& refer(c628,det)
& quant(c628,one)
& gener(c628,sp)
& fact(c628,real)
& etype(c628,int0)
& card(c628,int1)
& sort(c628,io)
& sort(c628,d)
& varia('westkueste$u1$u1','varia$uc')
& refer('westkueste$u1$u1','refer$uc')
& quant('westkueste$u1$u1',one)
& gener('westkueste$u1$u1',ge)
& fact('westkueste$u1$u1',real)
& etype('westkueste$u1$u1',int0)
& card('westkueste$u1$u1',int1)
& sort('westkueste$u1$u1',d)
& varia(c586,con)
& refer(c586,det)
& quant(c586,one)
& gener(c586,sp)
& fact(c586,real)
& etype(c586,int0)
& card(c586,int1)
& sort(c586,d)
& sort('seattle$u0',fe)
& varia('name$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(c582,'varia$uc')
& refer(c582,indet)
& quant(c582,one)
& gener(c582,sp)
& fact(c582,real)
& etype(c582,int0)
& card(c582,int1)
& sort(c582,na)
& varia(c581,con)
& refer(c581,det)
& quant(c581,one)
& gener(c581,sp)
& fact(c581,real)
& etype(c581,int0)
& card(c581,int1)
& sort(c581,io)
& sort(c581,d)
& varia('in$u2$u1','varia$uc')
& refer('in$u2$u1','refer$uc')
& quant('in$u2$u1',one)
& gener('in$u2$u1',ge)
& fact('in$u2$u1',real)
& etype('in$u2$u1',int0)
& card('in$u2$u1',int1)
& sort('in$u2$u1',o)
& varia(c574,'varia$uc')
& refer(c574,'refer$uc')
& quant(c574,one)
& gener(c574,'gener$uc')
& fact(c574,real)
& etype(c574,int0)
& card(c574,int1)
& sort(c574,o)
& sort('vereinigt$u1$u1',tq)
& 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(c573,'varia$uc')
& refer(c573,'refer$uc')
& quant(c573,mult)
& gener(c573,'gener$uc')
& fact(c573,real)
& etype(c573,int1)
& card(c573,cons('x$uconstant',cons(int1,nil)))
& sort(c573,io)
& sort(c573,d)
& sub('westkueste$u1$u1','kueste$u1$u1')
& assoc('westkueste$u1$u1','west$u$u1$u1')
& chsp2('vereinigen$u1$u1','vereinigt$u1$u1')
& sub('freiheitsstatue$u1$u1','statue$u1$u1')
& assoc('freiheitsstatue$u1$u1','freiheit$u1$u1')
& 'tupl$up6'(c770,c573,c574,c581,c586,c633)
& sub(c633,'freiheitsstatue$u1$u1')
& prop(c633,'weit$u1$u1')
& val(c629,'usa$u0')
& sub(c629,'name$u1$u1')
& sub(c628,'land$u1$u1')
& attr(c628,c629)
& attch(c628,c586)
& sub(c586,'westkueste$u1$u1')
& val(c582,'seattle$u0')
& sub(c582,'name$u1$u1')
& sub(c581,'stadt$u$u1$u1')
& attr(c581,c582)
& sub(c574,'in$u2$u1')
& prop(c573,'vereinigt$u1$u1')
& pred(c573,'land$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$ub')
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ) ).
fof(synth_qa07_003_qapw_40_a270,conjecture,
? [X0,X1,X2,X3] :
( val(X0,'usa$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$u1')
& scar(X2,X3)
& attr(X1,X0) ),
inference(negate_conjecture,[status(cth)],[synth_qa07_003_qapw_40_a270]) ).
cnf(c6,plain,
val(c629,'usa$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapw_40_a270]) ).
cnf(c181,plain,
sub(c629,'name$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapw_40_a270]) ).
cnf(c182,plain,
attr(c628,c629),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapw_40_a270]) ).
cnf(c187,plain,
member(X0,cons(X0,X1)),
inference(clausification,[status(esa)],[member_first]) ).
cnf(c188,plain,
( member(X0,cons(X2,X1))
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[member_second]) ).
cnf(c458,plain,
( scar(sK352(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(c615,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$u1',nil)))
| scar(sK352(X2),X2)
| ~ attr(X2,X0)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[c458,c188]) ).
cnf(d1,plain,
( ~ member(X1,cons('name$u1$u1',nil))
| scar(sK352(X2),X2)
| ~ attr(X2,X0)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[d0,c188]) ).
cnf(d2,plain,
( scar(sK352(X1),X1)
| ~ attr(X1,X0)
| ~ sub(X0,'name$u1$u1') ),
inference(resolution,[status(thm)],[d1,c187]) ).
cnf(d3,plain,
( scar(sK352(c628),c628)
| ~ sub(c629,'name$u1$u1') ),
inference(resolution,[status(thm)],[d2,c182]) ).
cnf(d4,plain,
scar(sK352(c628),c628),
inference(resolution,[status(thm)],[c181,d3]) ).
cnf(d5,plain,
( ~ attr(X1,X0)
| ~ val(X0,'usa$u0')
| ~ sub(X0,'name$u1$u1') ),
inference(resolution,[status(thm)],[d4,c615]) ).
cnf(d6,plain,
( ~ val(c629,'usa$u0')
| ~ sub(c629,'name$u1$u1') ),
inference(resolution,[status(thm)],[d5,c182]) ).
cnf(d7,plain,
~ sub(c629,'name$u1$u1'),
inference(resolution,[status(thm)],[c6,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c181,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR113+29 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 01:03:40 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 126.05/22.23 % SZS status Theorem for theBenchmark.p
% 126.05/22.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------