%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+18 : 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 : n001.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 07:07:40 AM UTC 2026
% Result : Theorem 2.47s 0.89s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 401 ( 0 equ)
% Maximal formula atoms : 278 ( 10 avg)
% Number of connectives : 431 ( 68 ~; 55 |; 305 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 278 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-6 aty)
% Number of functors : 71 ( 71 usr; 69 con; 0-3 aty)
% Number of variables : 83 ( 15 sgn 28 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(has_card_eq,axiom,
! [X0,X1] :
( card(X0,X1)
=> has_card_leq(X0,X1) ),
file('theBenchmark.p',has_card_eq) ).
fof(ave07_era5_synth_qa07_007_mira_news_1129_a19984,axiom,
( varia(ordnung_1_1,varia_c)
& refer(ordnung_1_1,refer_c)
& quant(ordnung_1_1,one)
& gener(ordnung_1_1,ge)
& fact(ordnung_1_1,real)
& etype(ordnung_1_1,int0)
& card(ordnung_1_1,int1)
& sort(ordnung_1_1,io)
& sort(ordnung_1_1,as)
& varia(gr__366__337e_1_1,varia_c)
& refer(gr__366__337e_1_1,refer_c)
& quant(gr__366__337e_1_1,one)
& gener(gr__366__337e_1_1,ge)
& fact(gr__366__337e_1_1,real)
& etype(gr__366__337e_1_1,int0)
& card(gr__366__337e_1_1,int1)
& sort(gr__366__337e_1_1,oa)
& card(c81,int1994)
& sort(c81,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)
& varia(c84,varia_c)
& refer(c84,refer_c)
& quant(c84,quant_c)
& gener(c84,sp)
& fact(c84,real)
& etype(c84,etype_c)
& card(c84,card_c)
& sort(c84,ta)
& sort(c84,oa)
& sort(c84,me)
& 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)
& 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)
& sort(bundesdeutsch_1_1,tq)
& varia(c83,con)
& refer(c83,det)
& quant(c83,one)
& gener(c83,sp)
& fact(c83,real)
& etype(c83,int0)
& card(c83,int1)
& sort(c83,t)
& varia(c74,varia_c)
& refer(c74,refer_c)
& quant(c74,one)
& gener(c74,gener_c)
& fact(c74,real)
& etype(c74,int0)
& card(c74,int1)
& sort(c74,io)
& sort(c74,d)
& varia(c70,con)
& refer(c70,det)
& quant(c70,one)
& gener(c70,sp)
& fact(c70,real)
& etype(c70,int0)
& card(c70,int1)
& sort(c70,d)
& varia(c262,varia_c)
& refer(c262,refer_c)
& quant(c262,quant_c)
& gener(c262,gener_c)
& fact(c262,real)
& etype(c262,etype_c)
& card(c262,card_c)
& sort(c262,ent)
& varia(c20,varia_c)
& refer(c20,refer_c)
& quant(c20,quant_c)
& gener(c20,gener_c)
& fact(c20,real)
& etype(c20,etype_c)
& card(c20,card_c)
& sort(c20,ent)
& card(c16,int1)
& sort(c16,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(c15,int31)
& sort(c15,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(c19,varia_c)
& refer(c19,refer_c)
& quant(c19,quant_c)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,etype_c)
& card(c19,card_c)
& sort(c19,ta)
& sort(c19,oa)
& sort(c19,me)
& varia(c18,varia_c)
& refer(c18,refer_c)
& quant(c18,quant_c)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,etype_c)
& card(c18,card_c)
& sort(c18,ta)
& sort(c18,oa)
& sort(c18,me)
& varia(c17,con)
& refer(c17,det)
& quant(c17,one)
& gener(c17,sp)
& fact(c17,real)
& etype(c17,int0)
& card(c17,int1)
& sort(c17,t)
& varia(gr__366ssenordnung_1_1,varia_c)
& refer(gr__366ssenordnung_1_1,refer_c)
& quant(gr__366ssenordnung_1_1,one)
& gener(gr__366ssenordnung_1_1,ge)
& fact(gr__366ssenordnung_1_1,real)
& etype(gr__366ssenordnung_1_1,int0)
& card(gr__366ssenordnung_1_1,int1)
& sort(gr__366ssenordnung_1_1,oa)
& sort(gr__366ssenordnung_1_1,io)
& sort(neo_1_1,nq)
& varia(c137,varia_c)
& refer(c137,indet)
& quant(c137,one)
& gener(c137,sp)
& fact(c137,real)
& etype(c137,int0)
& card(c137,int1)
& sort(c137,oa)
& sort(c137,io)
& sort(rover_0,fe)
& sort(britisch__1_1,nq)
& varia(c132,varia_c)
& refer(c132,indet)
& quant(c132,one)
& gener(c132,sp)
& fact(c132,real)
& etype(c132,int0)
& card(c132,int1)
& sort(c132,na)
& varia(c131,con)
& refer(c131,det)
& quant(c131,one)
& gener(c131,sp)
& fact(c131,real)
& etype(c131,int0)
& card(c131,int1)
& sort(c131,io)
& sort(c131,d)
& sort(m__374nchen_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(c12,varia_c)
& refer(c12,indet)
& quant(c12,one)
& gener(c12,sp)
& fact(c12,real)
& etype(c12,int0)
& card(c12,int1)
& sort(c12,na)
& varia(c11,con)
& refer(c11,det)
& quant(c11,one)
& gener(c11,sp)
& fact(c11,real)
& etype(c11,int0)
& card(c11,int1)
& sort(c11,io)
& sort(c11,d)
& varia(fabrikant_1_1,varia_c)
& refer(fabrikant_1_1,refer_c)
& quant(fabrikant_1_1,one)
& gener(fabrikant_1_1,ge)
& fact(fabrikant_1_1,real)
& etype(fabrikant_1_1,int0)
& card(fabrikant_1_1,int1)
& sort(fabrikant_1_1,io)
& sort(fabrikant_1_1,d)
& varia(auto__1_1,varia_c)
& refer(auto__1_1,refer_c)
& quant(auto__1_1,one)
& gener(auto__1_1,ge)
& fact(auto__1_1,real)
& etype(auto__1_1,int0)
& card(auto__1_1,int1)
& sort(auto__1_1,d)
& varia(autobauer_1_1,varia_c)
& refer(autobauer_1_1,refer_c)
& quant(autobauer_1_1,one)
& gener(autobauer_1_1,ge)
& fact(autobauer_1_1,real)
& etype(autobauer_1_1,int0)
& card(autobauer_1_1,int1)
& sort(autobauer_1_1,io)
& sort(autobauer_1_1,d)
& sub(gr__366ssenordnung_1_1,ordnung_1_1)
& assoc(gr__366ssenordnung_1_1,gr__366__337e_1_1)
& val(c84,c81)
& sub(c84,jahr__1_1)
& attr(c83,c84)
& sub(c74,firmengruppe_1_1)
& sub(c70,bmw_1_1)
& prop(c70,bundesdeutsch_1_1)
& tupl_p6(c262,c70,c74,c83,c131,c137)
& tupl(c20,c11,c17)
& val(c19,c16)
& sub(c19,monat_1_1)
& val(c18,c15)
& sub(c18,tag_1_1)
& attr(c17,c19)
& attr(c17,c18)
& sub(c137,gr__366ssenordnung_1_1)
& prop(c137,neo_1_1)
& val(c132,rover_0)
& sub(c132,name_1_1)
& sub(c131,autobauer_1_1)
& prop(c131,britisch__1_1)
& attr(c131,c132)
& val(c12,m__374nchen_0)
& sub(c12,name_1_1)
& sub(c11,stadt__1_1)
& attr(c11,c12)
& sub(autobauer_1_1,fabrikant_1_1)
& assoc(autobauer_1_1,auto__1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1129_a19984) ).
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(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_1129_a19984,conjecture,
? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& sub(X5,jahr__1_1)
& sub(X1,name_1_1)
& prop(X0,britisch__1_1)
& obj(X3,X0)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X2,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1129_a19984) ).
fof(synth_qa07_007_mira_news_1129_a19984_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6] :
( val(X5,X6)
& sub(X5,jahr__1_1)
& sub(X1,name_1_1)
& prop(X0,britisch__1_1)
& obj(X3,X0)
& has_card_leq(X6,int1994)
& attr(X4,X5)
& attr(X2,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_59,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_60,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
fof(nnf_53,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_53]) ).
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_95,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_144,plain,
( has_card_leq(A,B)
| ~ card(A,B) ),
inference(clausify,[status(thm)],[has_card_eq]) ).
cnf(c_218,plain,
attr(c11,c12),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_220,plain,
sub(c12,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_222,plain,
attr(c131,c132),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_223,plain,
prop(c131,britisch__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_225,plain,
sub(c132,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_240,plain,
attr(c83,c84),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_241,plain,
sub(c84,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_242,plain,
val(c84,c81),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_476,plain,
card(c81,int1994),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1129_a19984]) ).
cnf(c_494,negated_conjecture,
( ~ val(D,E)
| ~ sub(D,jahr__1_1)
| ~ sub(B,name_1_1)
| ~ prop(V6,britisch__1_1)
| ~ obj(F,V6)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1129_a19984_neg]) ).
cnf(c_1117,negated_conjecture,
( ~ val(B,C)
| ~ sub(B,jahr__1_1)
| ~ sub(c12,name_1_1)
| ~ prop(E,britisch__1_1)
| ~ obj(D,E)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_218,c_494]) ).
cnf(c_727,negated_conjecture,
( ~ val(B,C)
| ~ sub(B,jahr__1_1)
| ~ prop(E,britisch__1_1)
| ~ obj(D,E)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_220,c_1117]) ).
cnf(c_1118,plain,
( ~ val(c84,A)
| ~ sub(c84,jahr__1_1)
| ~ prop(C,britisch__1_1)
| ~ obj(B,C)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_240,c_727]) ).
cnf(c_891,plain,
( ~ val(c84,A)
| ~ prop(C,britisch__1_1)
| ~ obj(B,C)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_241,c_1118]) ).
cnf(c_940,plain,
( ~ val(c84,A)
| ~ obj(B,c131)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_891,c_223]) ).
cnf(c_950,plain,
( ~ obj(A,c131)
| ~ has_card_leq(c81,int1994) ),
inference(resolve,[status(thm)],[c_940,c_242]) ).
cnf(c_1119,plain,
( ~ card(c81,int1994)
| ~ obj(A,c131) ),
inference(resolve,[status(thm)],[c_950,c_144]) ).
cnf(c_951,plain,
~ obj(A,c131),
inference(resolve,[status(thm)],[c_476,c_1119]) ).
cnf(c_1120,plain,
( obj(sK0(c132,A,c131),c131)
| ~ sub(c132,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_95,c_222]) ).
cnf(c_1121,plain,
( obj(sK0(c132,name_1_1,c131),c131)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_1120,c_225]) ).
cnf(c_964,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_1121,c_951]) ).
cnf(c_1115,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_964,c_60]) ).
cnf(c_1122,plain,
~ member(name_1_1,cons(name_1_1,nil)),
inference(resolve,[status(thm)],[c_1115,c_60]) ).
cnf(c_1116,plain,
$false,
inference(resolve,[status(thm)],[c_59,c_1122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR115+18 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n001.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 01:13:00 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.46 % Process 3058575 was started by sandbox2 on n001,
% 0.19/0.46 % Sun Sep 27 01:13:00 2026
% 0.19/0.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.47/0.89
% 2.47/0.89 % SInE (scan): 85 to sos (tol 1.5x), 24 to usable (tol 2.0x), 10079 zapped, of 10188 axioms (depth 3).
% 2.47/0.89
% 2.47/0.89 % From the command line: assign(max_seconds, 300).
% 2.47/0.89
% 2.47/0.89 % SZS status Theorem for theBenchmark
% 2.47/0.89
% 2.47/0.89 % Proof 1 at 0.26 (+ 0.08) seconds.
% 2.47/0.89 % Length of proof is 28.
% 2.47/0.89 % Level of proof is 9.
% 2.47/0.89 % Maximum clause weight is 24.000.
% 2.47/0.89 % Given clauses 181.
% 2.47/0.89
% 2.47/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------