%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR114+23 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /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 07:07:37 AM UTC 2026
% Result : Theorem 10.21s 1.84s
% Output : CNFRefutation 10.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 468 ( 0 equ)
% Maximal formula atoms : 368 ( 15 avg)
% Number of connectives : 495 ( 57 ~; 46 |; 391 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 368 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 83 ( 83 usr; 82 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 12 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(loc__stehen_1_1_loc,axiom,
! [X0,X1] :
( loc(X0,X1)
=> ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) ) ),
file('theBenchmark.p',loc__stehen_1_1_loc) ).
fof(ave07_era5_synth_qa07_004_qapw_67,axiom,
( varia(konzert__1_1,varia_c)
& refer(konzert__1_1,refer_c)
& quant(konzert__1_1,one)
& gener(konzert__1_1,ge)
& fact(konzert__1_1,real)
& etype(konzert__1_1,int0)
& card(konzert__1_1,int1)
& sort(konzert__1_1,io)
& sort(konzert__1_1,d)
& sort(konzert__1_1,ad)
& sort(gratis_1_1,gq)
& varia(tour_1_1,varia_c)
& refer(tour_1_1,refer_c)
& quant(tour_1_1,one)
& gener(tour_1_1,ge)
& fact(tour_1_1,real)
& etype(tour_1_1,int0)
& card(tour_1_1,int1)
& sort(tour_1_1,ad)
& sort(europa_0,fe)
& varia(europatour_1_1,varia_c)
& refer(europatour_1_1,refer_c)
& quant(europatour_1_1,one)
& gener(europatour_1_1,ge)
& fact(europatour_1_1,real)
& etype(europatour_1_1,int0)
& card(europatour_1_1,int1)
& sort(europatour_1_1,ad)
& varia(c8,con)
& refer(c8,det)
& quant(c8,one)
& gener(c8,sp)
& fact(c8,real)
& etype(c8,int0)
& card(c8,int1)
& sort(c8,ad)
& varia(abschlu__337_1_1,varia_c)
& refer(abschlu__337_1_1,refer_c)
& quant(abschlu__337_1_1,one)
& gener(abschlu__337_1_1,ge)
& fact(abschlu__337_1_1,real)
& etype(abschlu__337_1_1,int0)
& card(abschlu__337_1_1,int1)
& sort(abschlu__337_1_1,ad)
& gener(zugucken_1_1,ge)
& fact(zugucken_1_1,real)
& sort(zugucken_1_1,da)
& gener(c210,sp)
& fact(c210,real)
& sort(c210,da)
& varia(c13,varia_c)
& refer(c13,det)
& quant(c13,one)
& gener(c13,sp)
& fact(c13,real)
& etype(c13,int0)
& card(c13,int1)
& sort(c13,o)
& sort(rom_0,fe)
& varia(name_1_1,varia_c)
& refer(name_1_1,refer_c)
& quant(name_1_1,one)
& gener(name_1_1,ge)
& fact(name_1_1,real)
& etype(name_1_1,int0)
& card(name_1_1,int1)
& sort(name_1_1,na)
& varia(stadt__1_1,varia_c)
& refer(stadt__1_1,refer_c)
& quant(stadt__1_1,one)
& gener(stadt__1_1,ge)
& fact(stadt__1_1,real)
& etype(stadt__1_1,int0)
& card(stadt__1_1,int1)
& sort(stadt__1_1,io)
& sort(stadt__1_1,d)
& varia(c203,varia_c)
& refer(c203,indet)
& quant(c203,one)
& gener(c203,sp)
& fact(c203,real)
& etype(c203,int0)
& card(c203,int1)
& sort(c203,na)
& varia(c202,con)
& refer(c202,det)
& quant(c202,one)
& gener(c202,sp)
& fact(c202,real)
& etype(c202,int0)
& card(c202,int1)
& sort(c202,io)
& sort(c202,d)
& varia(kolosseum_1_1,con)
& refer(kolosseum_1_1,det)
& quant(kolosseum_1_1,one)
& gener(kolosseum_1_1,sp)
& fact(kolosseum_1_1,real)
& etype(kolosseum_1_1,int0)
& card(kolosseum_1_1,int1)
& sort(kolosseum_1_1,d)
& varia(c205,con)
& refer(c205,det)
& quant(c205,one)
& gener(c205,sp)
& fact(c205,real)
& etype(c205,int0)
& card(c205,int1)
& sort(c205,l)
& varia(c196,con)
& refer(c196,det)
& quant(c196,one)
& gener(c196,sp)
& fact(c196,real)
& etype(c196,int0)
& card(c196,int1)
& sort(c196,d)
& varia(gratiskonzert_1_1,varia_c)
& refer(gratiskonzert_1_1,refer_c)
& quant(gratiskonzert_1_1,one)
& gener(gratiskonzert_1_1,ge)
& fact(gratiskonzert_1_1,real)
& etype(gratiskonzert_1_1,int0)
& card(gratiskonzert_1_1,int1)
& sort(gratiskonzert_1_1,io)
& sort(gratiskonzert_1_1,d)
& sort(gratiskonzert_1_1,ad)
& varia(c206,con)
& refer(c206,det)
& quant(c206,one)
& gener(c206,sp)
& fact(c206,real)
& etype(c206,int0)
& card(c206,int1)
& sort(c206,l)
& varia(c190,varia_c)
& refer(c190,indet)
& quant(c190,one)
& gener(c190,sp)
& fact(c190,real)
& etype(c190,int0)
& card(c190,int1)
& sort(c190,io)
& sort(c190,d)
& sort(c190,ad)
& varia(zuschauer__1_1,varia_c)
& refer(zuschauer__1_1,refer_c)
& quant(zuschauer__1_1,one)
& gener(zuschauer__1_1,ge)
& fact(zuschauer__1_1,real)
& etype(zuschauer__1_1,int0)
& card(zuschauer__1_1,int1)
& sort(zuschauer__1_1,d)
& varia(c207,varia_c)
& refer(c207,indet)
& quant(c207,one)
& gener(c207,sp)
& fact(c207,real)
& etype(c207,int0)
& card(c207,int1)
& sort(c207,l)
& varia(c185,varia_c)
& refer(c185,indet)
& quant(c185,nfquant)
& gener(c185,sp)
& fact(c185,real)
& etype(c185,int1)
& card(c185,int500000)
& sort(c185,d)
& card(c177,int2006)
& sort(c177,nu)
& varia(jahr__1_1,varia_c)
& refer(jahr__1_1,refer_c)
& quant(jahr__1_1,quant_c)
& gener(jahr__1_1,ge)
& fact(jahr__1_1,real)
& etype(jahr__1_1,etype_c)
& card(jahr__1_1,card_c)
& sort(jahr__1_1,ta)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,me)
& card(c176,int7)
& sort(c176,nu)
& varia(monat_1_1,varia_c)
& refer(monat_1_1,refer_c)
& quant(monat_1_1,quant_c)
& gener(monat_1_1,ge)
& fact(monat_1_1,real)
& etype(monat_1_1,etype_c)
& card(monat_1_1,card_c)
& sort(monat_1_1,ta)
& sort(monat_1_1,oa)
& sort(monat_1_1,me)
& card(c175,int31)
& sort(c175,nu)
& varia(tag_1_1,varia_c)
& refer(tag_1_1,refer_c)
& quant(tag_1_1,quant_c)
& gener(tag_1_1,ge)
& fact(tag_1_1,real)
& etype(tag_1_1,etype_c)
& card(tag_1_1,card_c)
& sort(tag_1_1,ta)
& sort(tag_1_1,oa)
& sort(tag_1_1,me)
& varia(c181,varia_c)
& refer(c181,refer_c)
& quant(c181,quant_c)
& gener(c181,sp)
& fact(c181,real)
& etype(c181,etype_c)
& card(c181,card_c)
& sort(c181,ta)
& sort(c181,oa)
& sort(c181,me)
& varia(c180,varia_c)
& refer(c180,det)
& quant(c180,quant_c)
& gener(c180,sp)
& fact(c180,real)
& etype(c180,etype_c)
& card(c180,card_c)
& sort(c180,ta)
& sort(c180,oa)
& sort(c180,me)
& varia(c179,varia_c)
& refer(c179,det)
& quant(c179,quant_c)
& gener(c179,sp)
& fact(c179,real)
& etype(c179,etype_c)
& card(c179,card_c)
& sort(c179,ta)
& sort(c179,oa)
& sort(c179,me)
& sort(adams_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& sort(bryan_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c169,varia_c)
& refer(c169,indet)
& quant(c169,one)
& gener(c169,sp)
& fact(c169,real)
& etype(c169,int0)
& card(c169,int1)
& sort(c169,na)
& varia(c168,varia_c)
& refer(c168,indet)
& quant(c168,one)
& gener(c168,sp)
& fact(c168,real)
& etype(c168,int0)
& card(c168,int1)
& sort(c168,na)
& varia(c167,con)
& refer(c167,det)
& quant(c167,one)
& gener(c167,sp)
& fact(c167,real)
& etype(c167,int0)
& card(c167,int1)
& sort(c167,d)
& varia(c178,con)
& refer(c178,det)
& quant(c178,one)
& gener(c178,sp)
& fact(c178,real)
& etype(c178,int0)
& card(c178,int1)
& sort(c178,t)
& gener(spielen_1_2,ge)
& fact(spielen_1_2,real)
& sort(spielen_1_2,da)
& varia(c208,varia_c)
& refer(c208,refer_c)
& quant(c208,nfquant)
& gener(c208,sp)
& fact(c208,real)
& etype(c208,int1)
& card(c208,int500000)
& sort(c208,l)
& varia(c4,varia_c)
& refer(c4,det)
& quant(c4,one)
& gener(c4,sp)
& fact(c4,real)
& etype(c4,int0)
& card(c4,int1)
& sort(c4,ad)
& varia(c209,varia_c)
& refer(c209,det)
& quant(c209,nfquant)
& gener(c209,sp)
& fact(c209,real)
& etype(c209,int1)
& card(c209,int2)
& sort(c209,o)
& gener(c11,sp)
& fact(c11,real)
& sort(c11,da)
& sub(gratiskonzert_1_1,konzert__1_1)
& assoc(gratiskonzert_1_1,gratis_1_1)
& subs(europatour_1_1,tour_1_1)
& assoc(europatour_1_1,europa_0)
& subs(c8,europatour_1_1)
& attch(c8,c4)
& subs(c4,abschlu__337_1_1)
& subs(c210,zugucken_1_1)
& agt(c210,c185)
& itms(c209,c13,c167)
& vor(c208,c185)
& bei(c207,c190)
& vor(c206,c196)
& in(c205,c202)
& val(c203,rom_0)
& sub(c203,name_1_1)
& sub(c202,stadt__1_1)
& attr(c202,c203)
& sub(c196,kolosseum_1_1)
& loc(c196,c205)
& sub(c190,gratiskonzert_1_1)
& loc(c190,c206)
& pred(c185,zuschauer__1_1)
& loc(c185,c207)
& val(c181,c177)
& sub(c181,jahr__1_1)
& val(c180,c176)
& sub(c180,monat_1_1)
& val(c179,c175)
& sub(c179,tag_1_1)
& attr(c178,c181)
& attr(c178,c180)
& attr(c178,c179)
& val(c169,adams_0)
& sub(c169,familiename_1_1)
& val(c168,bryan_0)
& sub(c168,eigenname_1_1)
& sub(c167,mensch_1_1)
& attr(c167,c169)
& attr(c167,c168)
& temp(c11,c178)
& subs(c11,spielen_1_2)
& loc(c11,c208)
& ctxt(c11,c4)
& agt(c11,c209) ),
file('theBenchmark.p',ave07_era5_synth_qa07_004_qapw_67) ).
fof(synth_qa07_004_qapw_67,conjecture,
? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X3,kolosseum_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
file('theBenchmark.p',synth_qa07_004_qapw_67) ).
fof(synth_qa07_004_qapw_67_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4] :
( val(X1,rom_0)
& subs(X4,stehen_1_1)
& sub(X3,kolosseum_1_1)
& sub(X0,stadt__1_1)
& sub(X1,name_1_1)
& scar(X4,X3)
& loc(X4,X2)
& attr(X0,X1)
& in(X2,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_004_qapw_67]) ).
fof(nnf_56,plain,
! [X0,X1] :
( ? [X2] :
( subs(X2,stehen_1_1)
& scar(X2,X0)
& loc(X2,X1) )
| ~ loc(X0,X1) ),
inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc]) ).
fof(sk_loc__stehen_1_1_loc_sk,plain,
! [X0,X1] :
( ( subs(sK0(X0,X1),stehen_1_1)
& scar(sK0(X0,X1),X0)
& loc(sK0(X0,X1),X1) )
| ~ loc(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[nnf_56]) ).
fof(sk_loc__stehen_1_1_loc,plain,
( ! [VAR_0,VAR_1] :
( subs(sK0(VAR_0,VAR_1),stehen_1_1)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( scar(sK0(VAR_0,VAR_1),VAR_0)
| ~ loc(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( loc(sK0(VAR_0,VAR_1),VAR_1)
| ~ loc(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_loc__stehen_1_1_loc_sk]) ).
cnf(c_282,plain,
( loc(sK0(A,B),B)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_283,plain,
( scar(sK0(A,B),A)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_284,plain,
( subs(sK0(A,B),stehen_1_1)
| ~ loc(A,B) ),
inference(split_conjunct,[status(thm)],[sk_loc__stehen_1_1_loc]) ).
cnf(c_319,plain,
loc(c196,c205),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_67]) ).
cnf(c_320,plain,
sub(c196,kolosseum_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_67]) ).
cnf(c_321,plain,
attr(c202,c203),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_67]) ).
cnf(c_322,plain,
sub(c202,stadt__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_67]) ).
cnf(c_323,plain,
sub(c203,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_67]) ).
cnf(c_324,plain,
val(c203,rom_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_67]) ).
cnf(c_325,plain,
in(c205,c202),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_004_qapw_67]) ).
cnf(c_662,negated_conjecture,
( ~ val(C,rom_0)
| ~ subs(D,stehen_1_1)
| ~ sub(E,kolosseum_1_1)
| ~ sub(B,stadt__1_1)
| ~ sub(C,name_1_1)
| ~ scar(D,E)
| ~ loc(D,A)
| ~ attr(B,C)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_004_qapw_67_neg]) ).
cnf(c_8369,negated_conjecture,
( ~ val(c203,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c202,stadt__1_1)
| ~ sub(c203,name_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c202) ),
inference(resolve,[status(thm)],[c_321,c_662]) ).
cnf(c_8370,negated_conjecture,
( ~ val(c203,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ sub(c202,stadt__1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c202) ),
inference(resolve,[status(thm)],[c_323,c_8369]) ).
cnf(c_8371,negated_conjecture,
( ~ val(c203,rom_0)
| ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c202) ),
inference(resolve,[status(thm)],[c_322,c_8370]) ).
cnf(c_1917,negated_conjecture,
( ~ subs(B,stehen_1_1)
| ~ sub(C,kolosseum_1_1)
| ~ scar(B,C)
| ~ loc(B,A)
| ~ in(A,c202) ),
inference(resolve,[status(thm)],[c_324,c_8371]) ).
cnf(c_2057,plain,
( ~ subs(A,stehen_1_1)
| ~ sub(B,kolosseum_1_1)
| ~ scar(A,B)
| ~ loc(A,c205) ),
inference(resolve,[status(thm)],[c_1917,c_325]) ).
cnf(c_2085,plain,
( ~ subs(A,stehen_1_1)
| ~ scar(A,c196)
| ~ loc(A,c205) ),
inference(resolve,[status(thm)],[c_2057,c_320]) ).
cnf(c_7719,plain,
( ~ subs(sK0(A,c205),stehen_1_1)
| ~ scar(sK0(A,c205),c196)
| ~ loc(A,c205) ),
inference(resolve,[status(thm)],[c_282,c_2085]) ).
cnf(c_7921,plain,
scar(sK0(c196,c205),c196),
inference(resolve,[status(thm)],[c_283,c_319]) ).
cnf(c_8185,plain,
subs(sK0(c196,c205),stehen_1_1),
inference(resolve,[status(thm)],[c_284,c_319]) ).
cnf(c_8372,plain,
( ~ subs(sK0(c196,c205),stehen_1_1)
| ~ scar(sK0(c196,c205),c196) ),
inference(resolve,[status(thm)],[c_7719,c_319]) ).
cnf(c_8373,plain,
~ subs(sK0(c196,c205),stehen_1_1),
inference(resolve,[status(thm)],[c_7921,c_8372]) ).
cnf(c_8368,plain,
$false,
inference(resolve,[status(thm)],[c_8185,c_8373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR114+23 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sun Sep 27 01:05:04 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.30 % Process 1863082 was started by sandbox2 on n012,
% 0.03/0.30 % Sun Sep 27 01:05:04 2026
% 0.03/0.30 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 10.21/1.84
% 10.21/1.84 % SInE (scan): 101 to sos (tol 1.5x), 22 to usable (tol 2.0x), 10065 zapped, of 10188 axioms (depth 3).
% 10.21/1.84
% 10.21/1.84 % From the command line: assign(max_seconds, 300).
% 10.21/1.84
% 10.21/1.84 % given #500 (F,wt=12): 2989 -scar(c196,c190) | -subs(c196,stehen_1_1) | -sub(gratiskonzert_1_1,A) | -sub(A,c196). [resolve(2974,c,200,c)].
% 10.21/1.84
% 10.21/1.84 % given #1000 (W,wt=3): 2617 sort_leq(eigenname_1_1,na). [ur(174,a,409,a,b,175,a)].
% 10.21/1.84
% 10.21/1.84 % SZS status Theorem for theBenchmark
% 10.21/1.84
% 10.21/1.84 % Proof 1 at 1.29 (+ 0.16) seconds.
% 10.21/1.84 % Length of proof is 21.
% 10.21/1.84 % Level of proof is 6.
% 10.21/1.84 % Maximum clause weight is 27.000.
% 10.21/1.84 % Given clauses 1203.
% 10.21/1.84
% 10.21/1.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
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