%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+65 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 07:07:46 AM UTC 2026
% Result : Theorem 0.55s 0.56s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 403 ( 0 equ)
% Maximal formula atoms : 328 ( 17 avg)
% Number of connectives : 417 ( 37 ~; 31 |; 347 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 328 ( 19 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-17 aty)
% Number of functors : 73 ( 73 usr; 71 con; 0-3 aty)
% Number of variables : 70 ( 19 sgn 26 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(member_second,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('theBenchmark.p',member_second) ).
fof(ave07_era5_synth_qa07_007_mira_wp_474,axiom,
( varia(zahl_1_1,varia_c)
& refer(zahl_1_1,refer_c)
& quant(zahl_1_1,one)
& gener(zahl_1_1,ge)
& fact(zahl_1_1,real)
& etype(zahl_1_1,int0)
& card(zahl_1_1,int1)
& sort(zahl_1_1,oa)
& sort(zahl_1_1,io)
& varia(st__374ck_2_1,varia_c)
& refer(st__374ck_2_1,refer_c)
& quant(st__374ck_2_1,one)
& gener(st__374ck_2_1,ge)
& fact(st__374ck_2_1,real)
& etype(st__374ck_2_1,int0)
& card(st__374ck_2_1,int1)
& sort(st__374ck_2_1,io)
& sort(st__374ck_2_1,d)
& varia(netz_1_1,varia_c)
& refer(netz_1_1,refer_c)
& quant(netz_1_1,one)
& gener(netz_1_1,ge)
& fact(netz_1_1,real)
& etype(netz_1_1,int0)
& card(netz_1_1,int1)
& sort(netz_1_1,d)
& varia(anbieter_1_1,varia_c)
& refer(anbieter_1_1,refer_c)
& quant(anbieter_1_1,one)
& gener(anbieter_1_1,ge)
& fact(anbieter_1_1,real)
& etype(anbieter_1_1,int0)
& card(anbieter_1_1,int1)
& sort(anbieter_1_1,io)
& sort(anbieter_1_1,d)
& varia(spielart_1_1,varia_c)
& refer(spielart_1_1,refer_c)
& quant(spielart_1_1,one)
& gener(spielart_1_1,ge)
& fact(spielart_1_1,real)
& etype(spielart_1_1,int0)
& card(spielart_1_1,int1)
& sort(spielart_1_1,re)
& sort(spielart_1_1,io)
& varia(c34978,varia_c)
& refer(c34978,refer_c)
& quant(c34978,quant_c)
& gener(c34978,gener_c)
& fact(c34978,real)
& etype(c34978,etype_c)
& card(c34978,card_c)
& sort(c34978,ent)
& varia(h__344ndlernetz_1_1,varia_c)
& refer(h__344ndlernetz_1_1,refer_c)
& quant(h__344ndlernetz_1_1,one)
& gener(h__344ndlernetz_1_1,ge)
& fact(h__344ndlernetz_1_1,real)
& etype(h__344ndlernetz_1_1,int0)
& card(h__344ndlernetz_1_1,int1)
& sort(h__344ndlernetz_1_1,d)
& varia(c34941,varia_c)
& refer(c34941,refer_c)
& quant(c34941,one)
& gener(c34941,gener_c)
& fact(c34941,real)
& etype(c34941,int0)
& card(c34941,int1)
& sort(c34941,d)
& varia(c34937,con)
& refer(c34937,det)
& quant(c34937,one)
& gener(c34937,sp)
& fact(c34937,real)
& etype(c34937,int0)
& card(c34937,int1)
& sort(c34937,d)
& sort(baur_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)
& 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(c34926,varia_c)
& refer(c34926,indet)
& quant(c34926,one)
& gener(c34926,sp)
& fact(c34926,real)
& etype(c34926,int0)
& card(c34926,int1)
& sort(c34926,na)
& varia(c34925,con)
& refer(c34925,det)
& quant(c34925,one)
& gener(c34925,sp)
& fact(c34925,real)
& etype(c34925,int0)
& card(c34925,int1)
& sort(c34925,d)
& varia(firma_1_1,varia_c)
& refer(firma_1_1,refer_c)
& quant(firma_1_1,one)
& gener(firma_1_1,ge)
& fact(firma_1_1,real)
& etype(firma_1_1,int0)
& card(firma_1_1,int1)
& sort(firma_1_1,io)
& sort(firma_1_1,d)
& varia(c34920,con)
& refer(c34920,det)
& quant(c34920,one)
& gener(c34920,sp)
& fact(c34920,real)
& etype(c34920,int0)
& card(c34920,int1)
& sort(c34920,io)
& sort(c34920,d)
& varia(st__374ckzahl_1_1,varia_c)
& refer(st__374ckzahl_1_1,refer_c)
& quant(st__374ckzahl_1_1,one)
& gener(st__374ckzahl_1_1,ge)
& fact(st__374ckzahl_1_1,real)
& etype(st__374ckzahl_1_1,int0)
& card(st__374ckzahl_1_1,int1)
& sort(st__374ckzahl_1_1,oa)
& sort(st__374ckzahl_1_1,io)
& sort(klein_1_1,mq)
& varia(c34914,varia_c)
& refer(c34914,refer_c)
& quant(c34914,one)
& gener(c34914,gener_c)
& fact(c34914,real)
& etype(c34914,int0)
& card(c34914,int1)
& sort(c34914,oa)
& sort(c34914,io)
& varia(e30_1_1,varia_c)
& refer(e30_1_1,refer_c)
& quant(e30_1_1,one)
& gener(e30_1_1,ge)
& fact(e30_1_1,real)
& etype(e30_1_1,int0)
& card(e30_1_1,int1)
& sort(e30_1_1,o)
& varia(c34906,varia_c)
& refer(c34906,indet)
& quant(c34906,mult)
& gener(c34906,gener_c)
& fact(c34906,real)
& etype(c34906,int1)
& card(c34906,cons(x_constant,cons(int1,nil)))
& sort(c34906,o)
& varia(bmw_1_1,varia_c)
& refer(bmw_1_1,refer_c)
& quant(bmw_1_1,one)
& gener(bmw_1_1,ge)
& fact(bmw_1_1,real)
& etype(bmw_1_1,int0)
& card(bmw_1_1,int1)
& sort(bmw_1_1,d)
& varia(c34895,con)
& refer(c34895,det)
& quant(c34895,one)
& gener(c34895,sp)
& fact(c34895,real)
& etype(c34895,int0)
& card(c34895,int1)
& sort(c34895,d)
& varia(artefakt_1_1,varia_c)
& refer(artefakt_1_1,refer_c)
& quant(artefakt_1_1,one)
& gener(artefakt_1_1,ge)
& fact(artefakt_1_1,real)
& etype(artefakt_1_1,int0)
& card(artefakt_1_1,int1)
& sort(artefakt_1_1,io)
& sort(artefakt_1_1,d)
& varia(c34888,varia_c)
& refer(c34888,refer_c)
& quant(c34888,one)
& gener(c34888,gener_c)
& fact(c34888,real)
& etype(c34888,int0)
& card(c34888,int1)
& sort(c34888,io)
& sort(c34888,d)
& varia(cabriovariante_1_1,varia_c)
& refer(cabriovariante_1_1,refer_c)
& quant(cabriovariante_1_1,one)
& gener(cabriovariante_1_1,ge)
& fact(cabriovariante_1_1,real)
& etype(cabriovariante_1_1,int0)
& card(cabriovariante_1_1,int1)
& sort(cabriovariante_1_1,re)
& sort(cabriovariante_1_1,io)
& varia(c34881,con)
& refer(c34881,det)
& quant(c34881,one)
& gener(c34881,sp)
& fact(c34881,real)
& etype(c34881,int0)
& card(c34881,int1)
& sort(c34881,re)
& sort(c34881,io)
& varia(kombi__1_1,varia_c)
& refer(kombi__1_1,refer_c)
& quant(kombi__1_1,one)
& gener(kombi__1_1,ge)
& fact(kombi__1_1,real)
& etype(kombi__1_1,int0)
& card(kombi__1_1,int1)
& sort(kombi__1_1,d)
& varia(c34864,varia_c)
& refer(c34864,refer_c)
& quant(c34864,one)
& gener(c34864,gener_c)
& fact(c34864,real)
& etype(c34864,int0)
& card(c34864,int1)
& sort(c34864,d)
& varia(roadster_1_1,varia_c)
& refer(roadster_1_1,refer_c)
& quant(roadster_1_1,one)
& gener(roadster_1_1,ge)
& fact(roadster_1_1,real)
& etype(roadster_1_1,int0)
& card(roadster_1_1,int1)
& sort(roadster_1_1,d)
& varia(c34855,varia_c)
& refer(c34855,refer_c)
& quant(c34855,one)
& gener(c34855,gener_c)
& fact(c34855,real)
& etype(c34855,int0)
& card(c34855,int1)
& sort(c34855,d)
& varia(cabrio__1_1,varia_c)
& refer(cabrio__1_1,refer_c)
& quant(cabrio__1_1,one)
& gener(cabrio__1_1,ge)
& fact(cabrio__1_1,real)
& etype(cabrio__1_1,int0)
& card(cabrio__1_1,int1)
& sort(cabrio__1_1,d)
& varia(c34846,varia_c)
& refer(c34846,refer_c)
& quant(c34846,one)
& gener(c34846,gener_c)
& fact(c34846,real)
& etype(c34846,int0)
& card(c34846,int1)
& sort(c34846,d)
& varia(c34837,varia_c)
& refer(c34837,refer_c)
& quant(c34837,nfquant)
& gener(c34837,gener_c)
& fact(c34837,real)
& etype(c34837,int1)
& card(c34837,int4)
& sort(c34837,d)
& varia(einla__337_1_1,varia_c)
& refer(einla__337_1_1,refer_c)
& quant(einla__337_1_1,one)
& gener(einla__337_1_1,ge)
& fact(einla__337_1_1,real)
& etype(einla__337_1_1,int0)
& card(einla__337_1_1,int1)
& sort(einla__337_1_1,d)
& varia(c34823,varia_c)
& refer(c34823,refer_c)
& quant(c34823,nfquant)
& gener(c34823,gener_c)
& fact(c34823,real)
& etype(c34823,int1)
& card(c34823,int2)
& sort(c34823,d)
& varia(limousine_1_1,varia_c)
& refer(limousine_1_1,refer_c)
& quant(limousine_1_1,one)
& gener(limousine_1_1,ge)
& fact(limousine_1_1,real)
& etype(limousine_1_1,int0)
& card(limousine_1_1,int1)
& sort(limousine_1_1,d)
& varia(c34818,varia_c)
& refer(c34818,refer_c)
& quant(c34818,one)
& gener(c34818,gener_c)
& fact(c34818,real)
& etype(c34818,int0)
& card(c34818,int1)
& sort(c34818,d)
& sub(st__374ckzahl_1_1,zahl_1_1)
& assoc(st__374ckzahl_1_1,st__374ck_2_1)
& sub(h__344ndlernetz_1_1,netz_1_1)
& assoc(h__344ndlernetz_1_1,anbieter_1_1)
& sub(cabriovariante_1_1,spielart_1_1)
& assoc(cabriovariante_1_1,cabrio__1_1)
& tupl_p17(c34978,c34818,c34823,c34837,c34846,c34855,c34864,c34881,c34888,c34895,c34906,c34914,c34920,c34925,c34846,c34937,c34941)
& sub(c34941,h__344ndlernetz_1_1)
& sub(c34937,bmw_1_1)
& val(c34926,baur_0)
& sub(c34926,familiename_1_1)
& sub(c34925,mensch_1_1)
& attr(c34925,c34926)
& sub(c34920,firma_1_1)
& sub(c34914,st__374ckzahl_1_1)
& prop(c34914,klein_1_1)
& pred(c34906,e30_1_1)
& sub(c34895,bmw_1_1)
& sub(c34888,artefakt_1_1)
& sub(c34881,cabriovariante_1_1)
& sub(c34864,kombi__1_1)
& sub(c34855,roadster_1_1)
& sub(c34846,cabrio__1_1)
& pred(c34837,einla__337_1_1)
& pred(c34823,einla__337_1_1)
& sub(c34818,limousine_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_474) ).
fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).
fof(synth_qa07_007_mira_wp_474,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_wp_474) ).
fof(synth_qa07_007_mira_wp_474_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_474]) ).
fof(nnf_62,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk,plain,
! [X0,X1,X2] :
( ( subs(sK0(X0,X1,X2),stehen_1_b)
& scar(sK0(X0,X1,X2),X2)
& obj(sK0(X0,X1,X2),X2)
& mcont(sK0(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_62]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_1,VAR_2,VAR_0),stehen_1_b)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( scar(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk]) ).
cnf(c_121,plain,
( obj(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name__abk__374rzung_stehen_1_b_f__374r]) ).
cnf(c_152,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_153,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_249,plain,
attr(c34925,c34926),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_474]) ).
cnf(c_251,plain,
sub(c34926,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_474]) ).
cnf(c_564,negated_conjecture,
( ~ obj(V6,A)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_wp_474_neg]) ).
cnf(c_592,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_153,c_152]) ).
cnf(c_776,negated_conjecture,
( ~ obj(E,c34925)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_564,c_249]) ).
cnf(c_777,negated_conjecture,
( ~ obj(C,c34925)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_776,c_249]) ).
cnf(c_749,negated_conjecture,
~ obj(A,c34925),
inference(resolve,[status(thm)],[c_777,c_249]) ).
cnf(c_778,plain,
( obj(sK0(c34926,A,c34925),c34925)
| ~ sub(c34926,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_121,c_249]) ).
cnf(c_779,plain,
( obj(sK0(c34926,familiename_1_1,c34925),c34925)
| ~ member(familiename_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_778,c_251]) ).
cnf(c_780,plain,
~ member(familiename_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_779,c_749]) ).
cnf(c_775,plain,
$false,
inference(resolve,[status(thm)],[c_592,c_780]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR115+65 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.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 01:06:05 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.37 % Process 2047511 was started by sandbox on n017,
% 0.12/0.37 % Sun Sep 27 01:06:05 2026
% 0.12/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.55/0.56
% 0.55/0.56 % SInE (scan): 73 to sos (tol 1.5x), 24 to usable (tol 2.0x), 10091 zapped, of 10188 axioms (depth 3).
% 0.55/0.56
% 0.55/0.56 % From the command line: assign(max_seconds, 300).
% 0.55/0.56
% 0.55/0.56 % SZS status Theorem for theBenchmark
% 0.55/0.56
% 0.55/0.56 % Proof 1 at 0.07 (+ 0.03) seconds.
% 0.55/0.56 % Length of proof is 14.
% 0.55/0.56 % Level of proof is 3.
% 0.55/0.56 % Maximum clause weight is 27.000.
% 0.55/0.56 % Given clauses 62.
% 0.55/0.56
% 0.55/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
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