%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+43 : 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 : n013.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 07:07:43 AM UTC 2026
% Result : Theorem 2.17s 0.75s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 332 ( 0 equ)
% Maximal formula atoms : 199 ( 11 avg)
% Number of connectives : 388 ( 86 ~; 74 |; 226 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 199 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 60 ( 60 usr; 58 con; 0-3 aty)
% Number of variables : 93 ( 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_news_1249,axiom,
( varia(c523,varia_c)
& refer(c523,refer_c)
& quant(c523,quant_c)
& gener(c523,gener_c)
& fact(c523,real)
& etype(c523,etype_c)
& card(c523,card_c)
& sort(c523,ent)
& sort(rover_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(gruppe_1_1,varia_c)
& refer(gruppe_1_1,refer_c)
& quant(gruppe_1_1,quant_c)
& gener(gruppe_1_1,ge)
& fact(gruppe_1_1,real)
& etype(gruppe_1_1,int1)
& card(gruppe_1_1,card_c)
& sort(gruppe_1_1,d)
& sort(britisch__1_1,nq)
& varia(c389,varia_c)
& refer(c389,det)
& quant(c389,one)
& gener(c389,sp)
& fact(c389,real)
& etype(c389,int0)
& card(c389,int1)
& sort(c389,na)
& varia(c388,varia_c)
& refer(c388,det)
& quant(c388,one)
& gener(c388,sp)
& fact(c388,real)
& etype(c388,int1)
& card(c388,int1)
& sort(c388,d)
& varia(c38,varia_c)
& refer(c38,refer_c)
& quant(c38,quant_c)
& gener(c38,gener_c)
& fact(c38,real)
& etype(c38,etype_c)
& card(c38,card_c)
& sort(c38,ent)
& sort(bmw_0,fe)
& sort(bundesdeutsch_1_1,tq)
& varia(c374,varia_c)
& refer(c374,indet)
& quant(c374,one)
& gener(c374,sp)
& fact(c374,real)
& etype(c374,int0)
& card(c374,int1)
& sort(c374,na)
& varia(c373,con)
& refer(c373,det)
& quant(c373,one)
& gener(c373,sp)
& fact(c373,real)
& etype(c373,int0)
& card(c373,int1)
& sort(c373,io)
& sort(c373,d)
& card(c23,int1)
& sort(c23,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(c22,int31)
& sort(c22,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(c26,varia_c)
& refer(c26,refer_c)
& quant(c26,quant_c)
& gener(c26,sp)
& fact(c26,real)
& etype(c26,etype_c)
& card(c26,card_c)
& sort(c26,ta)
& sort(c26,oa)
& sort(c26,me)
& varia(c25,varia_c)
& refer(c25,refer_c)
& quant(c25,quant_c)
& gener(c25,sp)
& fact(c25,real)
& etype(c25,etype_c)
& card(c25,card_c)
& sort(c25,ta)
& sort(c25,oa)
& sort(c25,me)
& varia(c24,con)
& refer(c24,det)
& quant(c24,one)
& gener(c24,sp)
& fact(c24,real)
& etype(c24,int0)
& card(c24,int1)
& sort(c24,t)
& sort(london_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(c19,varia_c)
& refer(c19,indet)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,na)
& varia(c18,con)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,io)
& sort(c18,d)
& varia(firmengruppe_1_1,varia_c)
& refer(firmengruppe_1_1,refer_c)
& quant(firmengruppe_1_1,one)
& gener(firmengruppe_1_1,ge)
& fact(firmengruppe_1_1,real)
& etype(firmengruppe_1_1,int0)
& card(firmengruppe_1_1,int1)
& sort(firmengruppe_1_1,io)
& sort(firmengruppe_1_1,d)
& sort(automobil_1_1,tq)
& varia(autokonzern_1_1,varia_c)
& refer(autokonzern_1_1,refer_c)
& quant(autokonzern_1_1,one)
& gener(autokonzern_1_1,ge)
& fact(autokonzern_1_1,real)
& etype(autokonzern_1_1,int0)
& card(autokonzern_1_1,int1)
& sort(autokonzern_1_1,io)
& sort(autokonzern_1_1,d)
& tupl(c523,c373,c388)
& val(c389,rover_0)
& sub(c389,familiename_1_1)
& sub(c388,gruppe_1_1)
& prop(c388,britisch__1_1)
& attr(c388,c389)
& tupl(c38,c18,c24)
& val(c374,bmw_0)
& sub(c374,name_1_1)
& sub(c373,autokonzern_1_1)
& prop(c373,bundesdeutsch_1_1)
& attr(c373,c374)
& val(c26,c23)
& sub(c26,monat_1_1)
& val(c25,c22)
& sub(c25,tag_1_1)
& attr(c24,c26)
& attr(c24,c25)
& val(c19,london_0)
& sub(c19,name_1_1)
& sub(c18,stadt__1_1)
& attr(c18,c19)
& sub(autokonzern_1_1,firmengruppe_1_1)
& assoc(autokonzern_1_1,automobil_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1249) ).
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_news_1249,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1249) ).
fof(synth_qa07_007_mira_news_1249_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X2,bmw_0)
& val(X1,bmw_0)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1249]) ).
fof(nnf_60,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_60]) ).
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_120,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_158,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_159,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
cnf(c_260,plain,
attr(c373,c374),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1249]) ).
cnf(c_263,plain,
sub(c374,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1249]) ).
cnf(c_264,plain,
val(c374,bmw_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1249]) ).
cnf(c_266,plain,
attr(c388,c389),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1249]) ).
cnf(c_447,negated_conjecture,
( ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(D,name_1_1)
| ~ sub(B,name_1_1)
| ~ obj(V6,A)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1249_neg]) ).
cnf(c_448,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_159,c_158]) ).
cnf(c_457,plain,
( ~ sub(V6,V7)
| ~ member(V7,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,V6)
| ~ val(D,bmw_0)
| ~ val(B,bmw_0)
| ~ sub(D,name_1_1)
| ~ sub(B,name_1_1)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_447,c_120]) ).
cnf(c_2054,plain,
member(A,cons(B,cons(C,cons(A,D)))),
inference(resolve,[status(thm)],[c_159,c_448]) ).
cnf(c_2228,plain,
( ~ sub(E,F)
| ~ member(F,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c373,E)
| ~ val(B,bmw_0)
| ~ val(c374,bmw_0)
| ~ sub(B,name_1_1)
| ~ sub(c374,name_1_1)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_457,c_260]) ).
cnf(c_2229,plain,
( ~ sub(C,D)
| ~ member(D,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c373,C)
| ~ val(c374,bmw_0)
| ~ val(c374,bmw_0)
| ~ sub(c374,name_1_1)
| ~ sub(c374,name_1_1)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_2228,c_260]) ).
cnf(c_2230,plain,
( ~ sub(A,B)
| ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c373,A)
| ~ val(c374,bmw_0)
| ~ val(c374,bmw_0)
| ~ sub(c374,name_1_1)
| ~ sub(c374,name_1_1) ),
inference(resolve,[status(thm)],[c_2229,c_266]) ).
cnf(c_2231,plain,
( ~ sub(A,B)
| ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c373,A)
| ~ val(c374,bmw_0)
| ~ val(c374,bmw_0)
| ~ sub(c374,name_1_1) ),
inference(resolve,[status(thm)],[c_2230,c_263]) ).
cnf(c_2232,plain,
( ~ sub(A,B)
| ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c373,A)
| ~ val(c374,bmw_0)
| ~ val(c374,bmw_0) ),
inference(resolve,[status(thm)],[c_2231,c_263]) ).
cnf(c_2233,plain,
( ~ sub(A,B)
| ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c373,A)
| ~ val(c374,bmw_0) ),
inference(resolve,[status(thm)],[c_2232,c_264]) ).
cnf(c_2234,plain,
( ~ sub(A,B)
| ~ member(B,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c373,A) ),
inference(resolve,[status(thm)],[c_2233,c_264]) ).
cnf(c_2235,plain,
( ~ sub(c374,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_2234,c_260]) ).
cnf(c_2236,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_2235,c_263]) ).
cnf(c_2227,plain,
$false,
inference(resolve,[status(thm)],[c_2054,c_2236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR115+43 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.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 01:08:21 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 3926396 was started by sandbox2 on n013,
% 0.08/0.37 % Sun Sep 27 01:08:21 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.17/0.75
% 2.17/0.75 % SInE (scan): 79 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10079 zapped, of 10188 axioms (depth 3).
% 2.17/0.75
% 2.17/0.75 % From the command line: assign(max_seconds, 300).
% 2.17/0.75
% 2.17/0.75 % SZS status Theorem for theBenchmark
% 2.17/0.75
% 2.17/0.75 % Proof 1 at 0.22 (+ 0.05) seconds.
% 2.17/0.75 % Length of proof is 17.
% 2.17/0.75 % Level of proof is 4.
% 2.17/0.75 % Maximum clause weight is 118.000.
% 2.17/0.75 % Given clauses 446.
% 2.17/0.75
% 2.17/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------