%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR113+28 : 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 : n005.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 61.15s 8.26s
% Output : CNFRefutation 61.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 222 ( 0 equ)
% Maximal formula atoms : 148 ( 9 avg)
% Number of connectives : 240 ( 42 ~; 35 |; 161 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 148 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 52 ( 52 usr; 51 con; 0-2 aty)
% Number of variables : 46 ( 4 sgn 4 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_003_qapn_31_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('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)
& sort('klein$u1$u1',mq)
& 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$u1',d)
& varia(c55,'varia$uc')
& refer(c55,indet)
& quant(c55,one)
& gener(c55,sp)
& fact(c55,real)
& etype(c55,int0)
& card(c55,int1)
& sort(c55,na)
& varia(c54,con)
& refer(c54,det)
& quant(c54,one)
& gener(c54,sp)
& fact(c54,real)
& etype(c54,int0)
& card(c54,int1)
& sort(c54,io)
& sort(c54,d)
& varia('bootshafen$u1$u1','varia$uc')
& refer('bootshafen$u1$u1','refer$uc')
& quant('bootshafen$u1$u1',one)
& gener('bootshafen$u1$u1',ge)
& fact('bootshafen$u1$u1',real)
& etype('bootshafen$u1$u1',int0)
& card('bootshafen$u1$u1',int1)
& sort('bootshafen$u1$u1',d)
& varia(c49,con)
& refer(c49,det)
& quant(c49,one)
& gener(c49,sp)
& fact(c49,real)
& etype(c49,int0)
& card(c49,int1)
& sort(c49,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(c58,con)
& refer(c58,det)
& quant(c58,one)
& gener(c58,sp)
& fact(c58,real)
& etype(c58,int0)
& card(c58,int1)
& sort(c58,l)
& varia(c44,con)
& refer(c44,det)
& quant(c44,one)
& gener(c44,sp)
& fact(c44,real)
& etype(c44,int0)
& card(c44,int1)
& sort(c44,d)
& varia('figur$u1$u1','varia$uc')
& refer('figur$u1$u1','refer$uc')
& quant('figur$u1$u1',one)
& gener('figur$u1$u1',ge)
& fact('figur$u1$u1',real)
& etype('figur$u1$u1',int0)
& card('figur$u1$u1',int1)
& sort('figur$u1$u1',d)
& gener('meter$u1$u1',ge)
& sort('meter$u1$u1',me)
& card(c25,int5)
& sort(c25,nu)
& gener('prop$u0','gener$uc')
& fact('prop$u0',real)
& sort('prop$u0',st)
& varia(c39,con)
& refer(c39,'refer$uc')
& quant(c39,'quant$uc')
& gener(c39,'gener$uc')
& fact(c39,real)
& etype(c39,'etype$uc')
& card(c39,'card$uc')
& sort(c39,m)
& sort(c39,co)
& sort(c56,tq)
& varia(c4,con)
& refer(c4,det)
& quant(c4,one)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int0)
& card(c4,int1)
& sort(c4,d)
& gener(c23,sp)
& fact(c23,real)
& sort(c23,st)
& sub('freiheitsstatue$u1$u1','statue$u1$u1')
& assoc('freiheitsstatue$u1$u1','freiheit$u1$u1')
& in(c58,c49)
& comp(c56,'klein$u1$u1',c44)
& val(c55,'new$uyork$u0')
& sub(c55,'name$u1$u1')
& sub(c54,'stadt$u$u1$u1')
& attr(c54,c55)
& attch(c54,c49)
& sub(c49,'bootshafen$u1$u1')
& sub(c44,'freiheitsstatue$u1$u1')
& loc(c44,c58)
& sub(c4,'figur$u1$u1')
& prop(c4,c56)
& 'quant$up3'(c39,c25,'meter$u1$u1')
& subr(c23,'prop$u0')
& assoc(c23,c39)
& arg2(c23,c56)
& arg1(c23,c4) ) ).
fof(local_function___flp,axiom,
! [X0,X1] :
( ( bei(X0,X1)
| an(X0,X1)
| in(X0,X1) )
=> flp(X0,X1) ) ).
fof(loc__stehen_1_1_loc,axiom,
! [X0,X1] :
( loc(X0,X1)
=> ? [X2] :
( subs(X2,'stehen$u1$u1')
& scar(X2,X0)
& loc(X2,X1) ) ) ).
fof(synth_qa07_003_qapn_31_a19713,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,'new$uyork$u0')
& subs(X3,'stehen$u1$u1')
& sub(X4,'freiheitsstatue$u1$u1')
& sub(X1,'name$u1$u1')
& scar(X3,X4)
& loc(X3,X0)
& flp(X0,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,'new$uyork$u0')
& subs(X3,'stehen$u1$u1')
& sub(X4,'freiheitsstatue$u1$u1')
& sub(X1,'name$u1$u1')
& scar(X3,X4)
& loc(X3,X0)
& flp(X0,X2) ),
inference(negate_conjecture,[status(cth)],[synth_qa07_003_qapn_31_a19713]) ).
cnf(c7,plain,
loc(c44,c58),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c8,plain,
sub(c44,'freiheitsstatue$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c13,plain,
sub(c55,'name$u1$u1'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c14,plain,
val(c55,'new$uyork$u0'),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c16,plain,
in(c58,c49),
inference(clausification,[status(esa)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).
cnf(c286,plain,
( flp(X0,X1)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[local_function___flp]) ).
cnf(c289,plain,
( loc(sK195(X0,X1),X1)
| ~ loc(X0,X1) ),
inference(clausification,[status(esa)],[loc__stehen_1_1_loc]) ).
cnf(c290,plain,
( scar(sK195(X0,X1),X0)
| ~ loc(X0,X1) ),
inference(clausification,[status(esa)],[loc__stehen_1_1_loc]) ).
cnf(c291,plain,
( subs(sK195(X0,X1),'stehen$u1$u1')
| ~ loc(X0,X1) ),
inference(clausification,[status(esa)],[loc__stehen_1_1_loc]) ).
cnf(c306,plain,
( ~ scar(X3,X4)
| ~ sub(X4,'freiheitsstatue$u1$u1')
| ~ loc(X3,X0)
| ~ subs(X3,'stehen$u1$u1')
| ~ val(X2,'new$uyork$u0')
| ~ sub(X2,'name$u1$u1')
| ~ flp(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ flp(X3,X4)
| ~ subs(sK195(X0,X1),'stehen$u1$u1')
| ~ val(X2,'new$uyork$u0')
| ~ loc(sK195(X0,X1),X3)
| ~ sub(X2,'name$u1$u1')
| ~ sub(X0,'freiheitsstatue$u1$u1')
| ~ loc(X0,X1) ),
inference(resolution,[status(thm)],[c290,c306]) ).
cnf(d1,plain,
( ~ flp(X3,X4)
| ~ val(X2,'new$uyork$u0')
| ~ loc(sK195(X0,X1),X3)
| ~ loc(X0,X1)
| ~ sub(X0,'freiheitsstatue$u1$u1')
| ~ sub(X2,'name$u1$u1')
| ~ loc(X0,X1) ),
inference(resolution,[status(thm)],[c291,d0]) ).
cnf(d2,plain,
( ~ loc(X1,X2)
| ~ flp(X2,X3)
| ~ val(X0,'new$uyork$u0')
| ~ loc(X1,X2)
| ~ sub(X1,'freiheitsstatue$u1$u1')
| ~ sub(X0,'name$u1$u1') ),
inference(resolution,[status(thm)],[d1,c289]) ).
cnf(d3,plain,
flp(c58,c49),
inference(resolution,[status(thm)],[c286,c16]) ).
cnf(d4,plain,
( ~ val(X1,'new$uyork$u0')
| ~ loc(X0,c58)
| ~ sub(X1,'name$u1$u1')
| ~ sub(X0,'freiheitsstatue$u1$u1') ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ loc(X0,c58)
| ~ sub(X0,'freiheitsstatue$u1$u1')
| ~ sub(c55,'name$u1$u1') ),
inference(resolution,[status(thm)],[d4,c14]) ).
cnf(d6,plain,
( ~ loc(X0,c58)
| ~ sub(X0,'freiheitsstatue$u1$u1') ),
inference(resolution,[status(thm)],[c13,d5]) ).
cnf(d7,plain,
~ sub(c44,'freiheitsstatue$u1$u1'),
inference(resolution,[status(thm)],[d6,c7]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c8,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR113+28 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 01:03:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.15/8.26 % SZS status Theorem for theBenchmark.p
% 61.15/8.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------