%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR115+31 : 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 07:07:42 AM UTC 2026
% Result : Theorem 0.17s 10.74s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 390 ( 0 equ)
% Maximal formula atoms : 259 ( 10 avg)
% Number of connectives : 431 ( 77 ~; 63 |; 288 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 259 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-8 aty)
% Number of functors : 70 ( 70 usr; 68 con; 0-3 aty)
% Number of variables : 92 ( 18 sgn 28 !; 18 ?)
% 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_1209_a462,axiom,
( varia(gesch__344ft_1_1,varia_c)
& refer(gesch__344ft_1_1,refer_c)
& quant(gesch__344ft_1_1,one)
& gener(gesch__344ft_1_1,ge)
& fact(gesch__344ft_1_1,real)
& etype(gesch__344ft_1_1,int0)
& card(gesch__344ft_1_1,int1)
& sort(gesch__344ft_1_1,io)
& sort(gesch__344ft_1_1,d)
& varia(kraftrad_1_1,varia_c)
& refer(kraftrad_1_1,refer_c)
& quant(kraftrad_1_1,one)
& gener(kraftrad_1_1,ge)
& fact(kraftrad_1_1,real)
& etype(kraftrad_1_1,int0)
& card(kraftrad_1_1,int1)
& sort(kraftrad_1_1,d)
& varia(geschichte_1_1,varia_c)
& refer(geschichte_1_1,refer_c)
& quant(geschichte_1_1,one)
& gener(geschichte_1_1,ge)
& fact(geschichte_1_1,real)
& etype(geschichte_1_1,int0)
& card(geschichte_1_1,int1)
& sort(geschichte_1_1,io)
& sort(geschichte_1_1,d)
& sort(geschichte_1_1,ad)
& gener(firmen_1_1,ge)
& fact(firmen_1_1,real)
& sort(firmen_1_1,da)
& varia(c6160,varia_c)
& refer(c6160,refer_c)
& quant(c6160,quant_c)
& gener(c6160,gener_c)
& fact(c6160,real)
& etype(c6160,etype_c)
& card(c6160,card_c)
& sort(c6160,ent)
& varia(firmengeschichte_1_1,varia_c)
& refer(firmengeschichte_1_1,refer_c)
& quant(firmengeschichte_1_1,one)
& gener(firmengeschichte_1_1,ge)
& fact(firmengeschichte_1_1,real)
& etype(firmengeschichte_1_1,int0)
& card(firmengeschichte_1_1,int1)
& sort(firmengeschichte_1_1,io)
& sort(firmengeschichte_1_1,d)
& sort(firmengeschichte_1_1,ad)
& sort(jahrelang_1_1,tq)
& varia(c5159,con)
& refer(c5159,det)
& quant(c5159,one)
& gener(c5159,sp)
& fact(c5159,real)
& etype(c5159,int0)
& card(c5159,int1)
& sort(c5159,io)
& sort(c5159,d)
& sort(c5159,ad)
& varia(c5152,varia_c)
& refer(c5152,refer_c)
& quant(c5152,quant_c)
& gener(c5152,gener_c)
& fact(c5152,real)
& etype(c5152,int2)
& etype(c5152,int1)
& card(c5152,card_c)
& sort(c5152,o)
& sort(erfolgreich_1_1,nq)
& sort(c5151,tq)
& varia(c5147,con)
& refer(c5147,det)
& quant(c5147,quant_c)
& gener(c5147,sp)
& fact(c5147,real)
& etype(c5147,etype_c)
& card(c5147,card_c)
& sort(c5147,ta)
& sort(c5147,oa)
& sort(c5147,me)
& varia(motorradgesch__344ft_1_1,varia_c)
& refer(motorradgesch__344ft_1_1,refer_c)
& quant(motorradgesch__344ft_1_1,one)
& gener(motorradgesch__344ft_1_1,ge)
& fact(motorradgesch__344ft_1_1,real)
& etype(motorradgesch__344ft_1_1,int0)
& card(motorradgesch__344ft_1_1,int1)
& sort(motorradgesch__344ft_1_1,io)
& sort(motorradgesch__344ft_1_1,d)
& varia(c5142,con)
& refer(c5142,det)
& quant(c5142,one)
& gener(c5142,sp)
& fact(c5142,real)
& etype(c5142,int0)
& card(c5142,int1)
& sort(c5142,io)
& sort(c5142,d)
& card(c5136,int1994)
& sort(c5136,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(c5139,varia_c)
& refer(c5139,refer_c)
& quant(c5139,quant_c)
& gener(c5139,sp)
& fact(c5139,real)
& etype(c5139,etype_c)
& card(c5139,card_c)
& sort(c5139,ta)
& sort(c5139,oa)
& sort(c5139,me)
& varia(c5138,con)
& refer(c5138,det)
& quant(c5138,one)
& gener(c5138,sp)
& fact(c5138,real)
& etype(c5138,int0)
& card(c5138,int1)
& sort(c5138,t)
& varia(ag_1_1,varia_c)
& refer(ag_1_1,refer_c)
& quant(ag_1_1,one)
& gener(ag_1_1,ge)
& fact(ag_1_1,real)
& etype(ag_1_1,int0)
& card(ag_1_1,int1)
& sort(ag_1_1,io)
& varia(c5132,varia_c)
& refer(c5132,refer_c)
& quant(c5132,one)
& gener(c5132,gener_c)
& fact(c5132,real)
& etype(c5132,int0)
& card(c5132,int1)
& sort(c5132,io)
& 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(c5130,varia_c)
& refer(c5130,refer_c)
& quant(c5130,one)
& gener(c5130,gener_c)
& fact(c5130,real)
& etype(c5130,int0)
& card(c5130,int1)
& sort(c5130,d)
& varia(m__374nchener_2_1,varia_c)
& refer(m__374nchener_2_1,refer_c)
& quant(m__374nchener_2_1,one)
& gener(m__374nchener_2_1,ge)
& fact(m__374nchener_2_1,real)
& etype(m__374nchener_2_1,int0)
& card(m__374nchener_2_1,int1)
& sort(m__374nchener_2_1,d)
& varia(c5123,con)
& refer(c5123,det)
& quant(c5123,one)
& gener(c5123,sp)
& fact(c5123,real)
& etype(c5123,int0)
& card(c5123,int1)
& sort(c5123,d)
& varia(c18,varia_c)
& refer(c18,refer_c)
& quant(c18,quant_c)
& gener(c18,gener_c)
& fact(c18,real)
& etype(c18,etype_c)
& card(c18,card_c)
& sort(c18,ent)
& varia(feb_1_1,varia_c)
& refer(feb_1_1,refer_c)
& quant(feb_1_1,one)
& gener(feb_1_1,ge)
& fact(feb_1_1,real)
& etype(feb_1_1,int0)
& card(feb_1_1,int1)
& sort(feb_1_1,o)
& varia(c14,varia_c)
& refer(c14,refer_c)
& quant(c14,one)
& gener(c14,gener_c)
& fact(c14,real)
& etype(c14,int0)
& card(c14,int1)
& sort(c14,o)
& 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)
& sub(motorradgesch__344ft_1_1,gesch__344ft_1_1)
& assoc(motorradgesch__344ft_1_1,kraftrad_1_1)
& sub(firmengeschichte_1_1,geschichte_1_1)
& assoc(firmengeschichte_1_1,firmen_1_1)
& tupl_p8(c6160,c5123,c5130,c5132,c5138,c5142,c5147,c5151)
& sub(c5159,firmengeschichte_1_1)
& prop(c5159,jahrelang_1_1)
& attr(c5159,c5147)
& supl(c5151,erfolgreich_1_1,c5152)
& sub(c5147,jahr__1_1)
& prop(c5147,c5151)
& sub(c5142,motorradgesch__344ft_1_1)
& val(c5139,c5136)
& sub(c5139,jahr__1_1)
& attr(c5138,c5139)
& sub(c5132,ag_1_1)
& sub(c5130,bmw_1_1)
& sub(c5123,m__374nchener_2_1)
& tupl(c18,c11,c14)
& sub(c14,feb_1_1)
& val(c12,m__374nchen_0)
& sub(c12,name_1_1)
& sub(c11,stadt__1_1)
& attr(c11,c12) ),
file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1209_a462) ).
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_1209_a462,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& sub(X6,jahr__1_1)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& has_card_leq(X7,int1994)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
file('theBenchmark.p',synth_qa07_007_mira_news_1209_a462) ).
fof(synth_qa07_007_mira_news_1209_a462_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( val(X6,X7)
& sub(X6,jahr__1_1)
& sub(X2,name_1_1)
& sub(X1,name_1_1)
& obj(X4,X0)
& has_card_leq(X7,int1994)
& attr(X5,X6)
& attr(X3,X2)
& attr(X0,X1) ),
inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1209_a462]) ).
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_94,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_139,plain,
( has_card_leq(A,B)
| ~ card(A,B) ),
inference(clausify,[status(thm)],[has_card_eq]) ).
cnf(c_210,plain,
attr(c11,c12),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1209_a462]) ).
cnf(c_212,plain,
sub(c12,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1209_a462]) ).
cnf(c_219,plain,
attr(c5138,c5139),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1209_a462]) ).
cnf(c_220,plain,
sub(c5139,jahr__1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1209_a462]) ).
cnf(c_221,plain,
val(c5139,c5136),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1209_a462]) ).
cnf(c_370,plain,
card(c5136,int1994),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1209_a462]) ).
cnf(c_469,negated_conjecture,
( ~ val(F,V6)
| ~ sub(F,jahr__1_1)
| ~ sub(D,name_1_1)
| ~ sub(B,name_1_1)
| ~ obj(V7,A)
| ~ has_card_leq(V6,int1994)
| ~ attr(E,F)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_007_mira_news_1209_a462_neg]) ).
cnf(c_1044,negated_conjecture,
( ~ val(D,E)
| ~ sub(D,jahr__1_1)
| ~ sub(c12,name_1_1)
| ~ sub(B,name_1_1)
| ~ obj(F,A)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_210,c_469]) ).
cnf(c_805,negated_conjecture,
( ~ val(D,E)
| ~ sub(D,jahr__1_1)
| ~ sub(B,name_1_1)
| ~ obj(F,A)
| ~ has_card_leq(E,int1994)
| ~ attr(C,D)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_212,c_1044]) ).
cnf(c_1045,plain,
( ~ val(B,C)
| ~ sub(B,jahr__1_1)
| ~ sub(c12,name_1_1)
| ~ obj(D,c11)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_805,c_210]) ).
cnf(c_832,plain,
( ~ val(B,C)
| ~ sub(B,jahr__1_1)
| ~ obj(D,c11)
| ~ has_card_leq(C,int1994)
| ~ attr(A,B) ),
inference(resolve,[status(thm)],[c_212,c_1045]) ).
cnf(c_1046,plain,
( ~ val(c5139,A)
| ~ sub(c5139,jahr__1_1)
| ~ obj(B,c11)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_832,c_219]) ).
cnf(c_847,plain,
( ~ val(c5139,A)
| ~ obj(B,c11)
| ~ has_card_leq(A,int1994) ),
inference(resolve,[status(thm)],[c_220,c_1046]) ).
cnf(c_884,plain,
( ~ obj(A,c11)
| ~ has_card_leq(c5136,int1994) ),
inference(resolve,[status(thm)],[c_221,c_847]) ).
cnf(c_1047,plain,
( ~ obj(A,c11)
| ~ card(c5136,int1994) ),
inference(resolve,[status(thm)],[c_139,c_884]) ).
cnf(c_912,plain,
~ obj(A,c11),
inference(resolve,[status(thm)],[c_370,c_1047]) ).
cnf(c_1048,plain,
( obj(sK0(c12,A,c11),c11)
| ~ sub(c12,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_94,c_210]) ).
cnf(c_1049,plain,
( obj(sK0(c12,name_1_1,c11),c11)
| ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_1048,c_212]) ).
cnf(c_919,plain,
~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
inference(resolve,[status(thm)],[c_1049,c_912]) ).
cnf(c_1042,plain,
~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))),
inference(resolve,[status(thm)],[c_919,c_60]) ).
cnf(c_1050,plain,
~ member(name_1_1,cons(name_1_1,nil)),
inference(resolve,[status(thm)],[c_1042,c_60]) ).
cnf(c_1043,plain,
$false,
inference(resolve,[status(thm)],[c_59,c_1050]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR115+31 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/10.41 % Computer : n013.cluster.edu
% 0.13/10.41 % Model : x86_64 x86_64
% 0.13/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.41 % Memory : 8046.5625MB
% 0.13/10.41 % OS : Linux 6.8.0-71-generic
% 0.13/10.41 % CPULimit : 300
% 0.13/10.41 % WCLimit : 300
% 0.13/10.41 % DateTime : Sun Sep 27 01:08:04 UTC 2026
% 0.13/10.42 % CPUTime :
% 0.13/10.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/10.42 % Process 3925001 was started by sandbox2 on n013,
% 0.13/10.42 % Sun Sep 27 01:08:04 2026
% 0.13/10.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/10.74
% 0.17/10.74 % SInE (scan): 82 to sos (tol 1.5x), 21 to usable (tol 2.0x), 10085 zapped, of 10188 axioms (depth 3).
% 0.17/10.74
% 0.17/10.74 % From the command line: assign(max_seconds, 300).
% 0.17/10.74
% 0.17/10.74 % SZS status Theorem for theBenchmark
% 0.17/10.74
% 0.17/10.74 % Proof 1 at 0.19 (+ 0.05) seconds.
% 0.17/10.74 % Length of proof is 25.
% 0.17/10.74 % Level of proof is 9.
% 0.17/10.74 % Maximum clause weight is 27.000.
% 0.17/10.74 % Given clauses 146.
% 0.17/10.74
% 0.17/10.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------