%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+2 : 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 : n020.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 07:07:53 AM UTC 2026
% Result : Theorem 2.41s 0.82s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 72 ( 23 unt; 0 def)
% Number of atoms : 701 ( 0 equ)
% Maximal formula atoms : 346 ( 9 avg)
% Number of connectives : 847 ( 218 ~; 202 |; 423 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 346 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 1 prp; 0-10 aty)
% Number of functors : 86 ( 86 usr; 81 con; 0-3 aty)
% Number of variables : 170 ( 13 sgn 74 !; 26 ?)
% 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(attr_name_hei__337en_1_1,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,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('theBenchmark.p',attr_name_hei__337en_1_1) ).
fof(hei__337en_1_1__bezeichnen_1_1_als,axiom,
! [X0,X1,X2] :
( ( subs(X0,hei__337en_1_1)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) ),
file('theBenchmark.p',hei__337en_1_1__bezeichnen_1_1_als) ).
fof(ave07_era5_synth_qa07_010_mira_news_1591,axiom,
( varia(dominanz_1_1,varia_c)
& refer(dominanz_1_1,refer_c)
& quant(dominanz_1_1,one)
& gener(dominanz_1_1,ge)
& fact(dominanz_1_1,real)
& etype(dominanz_1_1,int0)
& card(dominanz_1_1,int1)
& sort(dominanz_1_1,ad)
& varia(pr__344_1_1,varia_c)
& refer(pr__344_1_1,refer_c)
& quant(pr__344_1_1,quant_c)
& gener(pr__344_1_1,gener_c)
& fact(pr__344_1_1,real)
& etype(pr__344_1_1,etype_c)
& card(pr__344_1_1,card_c)
& sort(pr__344_1_1,ent)
& varia(c6617,varia_c)
& refer(c6617,refer_c)
& quant(c6617,quant_c)
& gener(c6617,gener_c)
& fact(c6617,real)
& etype(c6617,etype_c)
& card(c6617,card_c)
& sort(c6617,ent)
& varia(minderheit_1_2,varia_c)
& refer(minderheit_1_2,refer_c)
& quant(minderheit_1_2,quant_c)
& gener(minderheit_1_2,ge)
& fact(minderheit_1_2,real)
& etype(minderheit_1_2,int1)
& card(minderheit_1_2,card_c)
& sort(minderheit_1_2,d)
& sort(wei__337_1_1,nq)
& varia(hegemonie_1_1,varia_c)
& refer(hegemonie_1_1,refer_c)
& quant(hegemonie_1_1,one)
& gener(hegemonie_1_1,ge)
& fact(hegemonie_1_1,real)
& etype(hegemonie_1_1,int0)
& card(hegemonie_1_1,int1)
& sort(hegemonie_1_1,ad)
& varia(c6536,con)
& refer(c6536,det)
& quant(c6536,one)
& gener(c6536,sp)
& fact(c6536,real)
& etype(c6536,int1)
& card(c6536,int1)
& sort(c6536,d)
& varia(c6529,con)
& refer(c6529,det)
& quant(c6529,one)
& gener(c6529,sp)
& fact(c6529,real)
& etype(c6529,int0)
& card(c6529,int1)
& sort(c6529,ad)
& 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(c6523,int342)
& sort(c6523,nu)
& varia(c6528,varia_c)
& refer(c6528,refer_c)
& quant(c6528,quant_c)
& gener(c6528,gener_c)
& fact(c6528,real)
& etype(c6528,etype_c)
& card(c6528,card_c)
& sort(c6528,ta)
& sort(c6528,m)
& varia(montag__1_1,varia_c)
& refer(montag__1_1,refer_c)
& quant(montag__1_1,one)
& gener(montag__1_1,ge)
& fact(montag__1_1,real)
& etype(montag__1_1,int0)
& card(montag__1_1,int1)
& sort(montag__1_1,ta)
& varia(c6519,con)
& refer(c6519,det)
& quant(c6519,one)
& gener(c6519,sp)
& fact(c6519,real)
& etype(c6519,int0)
& card(c6519,int1)
& sort(c6519,ta)
& sort(s__374dafrika_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(c6516,varia_c)
& refer(c6516,indet)
& quant(c6516,one)
& gener(c6516,sp)
& fact(c6516,real)
& etype(c6516,int0)
& card(c6516,int1)
& sort(c6516,na)
& varia(c6515,con)
& refer(c6515,det)
& quant(c6515,one)
& gener(c6515,sp)
& fact(c6515,real)
& etype(c6515,int0)
& card(c6515,int1)
& sort(c6515,io)
& sort(c6515,d)
& varia(in_2_1,varia_c)
& refer(in_2_1,refer_c)
& quant(in_2_1,one)
& gener(in_2_1,ge)
& fact(in_2_1,real)
& etype(in_2_1,int0)
& card(in_2_1,int1)
& sort(in_2_1,o)
& varia(c6509,varia_c)
& refer(c6509,refer_c)
& quant(c6509,one)
& gener(c6509,gener_c)
& fact(c6509,real)
& etype(c6509,int0)
& card(c6509,int1)
& sort(c6509,o)
& sort(brandt_0,fe)
& sort(hans_0,fe)
& varia(c6508,varia_c)
& refer(c6508,indet)
& quant(c6508,one)
& gener(c6508,sp)
& fact(c6508,real)
& etype(c6508,int0)
& card(c6508,int1)
& sort(c6508,na)
& varia(c6507,varia_c)
& refer(c6507,indet)
& quant(c6507,one)
& gener(c6507,sp)
& fact(c6507,real)
& etype(c6507,int0)
& card(c6507,int1)
& sort(c6507,na)
& varia(c6506,con)
& refer(c6506,det)
& quant(c6506,one)
& gener(c6506,sp)
& fact(c6506,real)
& etype(c6506,int0)
& card(c6506,int1)
& sort(c6506,d)
& varia(von_2_1,varia_c)
& refer(von_2_1,refer_c)
& quant(von_2_1,one)
& gener(von_2_1,ge)
& fact(von_2_1,real)
& etype(von_2_1,int0)
& card(von_2_1,int1)
& sort(von_2_1,o)
& varia(c6500,varia_c)
& refer(c6500,refer_c)
& quant(c6500,one)
& gener(c6500,gener_c)
& fact(c6500,real)
& etype(c6500,int0)
& card(c6500,int1)
& sort(c6500,o)
& varia(c6499,con)
& refer(c6499,det)
& quant(c6499,one)
& gener(c6499,sp)
& fact(c6499,real)
& etype(c6499,int0)
& card(c6499,int1)
& sort(c6499,io)
& sort(c6499,d)
& 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,io)
& sort(abschlu__337_1_1,ad)
& varia(c6496,varia_c)
& refer(c6496,det)
& quant(c6496,one)
& gener(c6496,sp)
& fact(c6496,real)
& etype(c6496,int0)
& card(c6496,int1)
& sort(c6496,io)
& sort(c6496,ad)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& quant(pr__344sident_1_1,one)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& sort(pr__344sident_1_1,d)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c6492,varia_c)
& refer(c6492,refer_c)
& quant(c6492,one)
& gener(c6492,ge)
& fact(c6492,real)
& etype(c6492,int0)
& card(c6492,int1)
& sort(c6492,d)
& sort(schwarz_1_1,tq)
& varia(c6485,con)
& refer(c6485,det)
& quant(c6485,one)
& gener(c6485,sp)
& fact(c6485,real)
& etype(c6485,int0)
& card(c6485,int1)
& sort(c6485,d)
& sort(mandela_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(nelson_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(c6479,varia_c)
& refer(c6479,indet)
& quant(c6479,one)
& gener(c6479,sp)
& fact(c6479,real)
& etype(c6479,int0)
& card(c6479,int1)
& sort(c6479,na)
& varia(c6478,varia_c)
& refer(c6478,indet)
& quant(c6478,one)
& gener(c6478,sp)
& fact(c6478,real)
& etype(c6478,int0)
& card(c6478,int1)
& sort(c6478,na)
& varia(c6477,con)
& refer(c6477,det)
& quant(c6477,one)
& gener(c6477,sp)
& fact(c6477,real)
& etype(c6477,int0)
& card(c6477,int1)
& sort(c6477,d)
& varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(apartheid_1_1,varia_c)
& refer(apartheid_1_1,refer_c)
& quant(apartheid_1_1,one)
& gener(apartheid_1_1,ge)
& fact(apartheid_1_1,real)
& etype(apartheid_1_1,int0)
& card(apartheid_1_1,int1)
& sort(apartheid_1_1,io)
& varia(apartheidsstaat_1_1,varia_c)
& refer(apartheidsstaat_1_1,refer_c)
& quant(apartheidsstaat_1_1,one)
& gener(apartheidsstaat_1_1,ge)
& fact(apartheidsstaat_1_1,real)
& etype(apartheidsstaat_1_1,int0)
& card(apartheidsstaat_1_1,int1)
& sort(apartheidsstaat_1_1,io)
& sort(apartheidsstaat_1_1,d)
& subs(hegemonie_1_1,dominanz_1_1)
& assoc(hegemonie_1_1,pr__344_1_1)
& tupl_p10(c6617,c6477,c6485,c6496,c6500,c6506,c6509,c6515,c6519,c6529)
& sub(c6536,minderheit_1_2)
& prop(c6536,wei__337_1_1)
& subs(c6529,hegemonie_1_1)
& dur(c6529,c6528)
& agt(c6529,c6536)
& quant_p3(c6528,c6523,jahr__1_1)
& sub(c6519,montag__1_1)
& val(c6516,s__374dafrika_0)
& sub(c6516,name_1_1)
& sub(c6515,land_1_1)
& attr(c6515,c6516)
& sub(c6509,in_2_1)
& val(c6508,brandt_0)
& sub(c6508,familiename_1_1)
& val(c6507,hans_0)
& sub(c6507,eigenname_1_1)
& sub(c6506,mensch_1_1)
& attr(c6506,c6508)
& attr(c6506,c6507)
& sub(c6500,von_2_1)
& sub(c6499,apartheidsstaat_1_1)
& attch(c6499,c6496)
& sub(c6496,abschlu__337_1_1)
& pmod(c6492,erst_1_1,pr__344sident_1_1)
& sub(c6485,c6492)
& prop(c6485,schwarz_1_1)
& val(c6479,mandela_0)
& sub(c6479,familiename_1_1)
& val(c6478,nelson_0)
& sub(c6478,eigenname_1_1)
& sub(c6477,mensch_1_1)
& attr(c6477,c6479)
& attr(c6477,c6478)
& sub(apartheidsstaat_1_1,land_1_1)
& assoc(apartheidsstaat_1_1,apartheid_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1591) ).
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_010_mira_news_1591,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('theBenchmark.p',synth_qa07_010_mira_news_1591) ).
fof(synth_qa07_010_mira_news_1591_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1591]) ).
fof(nnf_65,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_65]) ).
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_123,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_160,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_161,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
fof(nnf_38,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(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_hei__337en_1_1]) ).
fof(sk_attr_name_hei__337en_1_1_sk,plain,
! [X0,X1,X2] :
( ( subs(sK1(X0,X1,X2),hei__337en_1_1)
& arg2(sK1(X0,X1,X2),X2)
& arg1(sK1(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,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[nnf_38]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK1(VAR_1,VAR_2,VAR_0),hei__337en_1_1)
| ~ 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] :
( arg2(sK1(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] :
( arg1(sK1(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_hei__337en_1_1_sk]) ).
cnf(c_232,plain,
( arg1(sK1(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_hei__337en_1_1]) ).
cnf(c_233,plain,
( arg2(sK1(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_hei__337en_1_1]) ).
cnf(c_234,plain,
( subs(sK1(B,C,A),hei__337en_1_1)
| ~ 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_hei__337en_1_1]) ).
fof(nnf_39,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(fof_nnf,[status(thm)],[hei__337en_1_1__bezeichnen_1_1_als]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als_sk,plain,
! [X0,X1,X2] :
( ( subs(sK3(X0,X1,X2),bezeichnen_1_1)
& subr(sK2(X0,X1,X2),rprs_0)
& obj(sK3(X0,X1,X2),X1)
& mcont(sK3(X0,X1,X2),sK2(X0,X1,X2))
& hsit(X0,sK3(X0,X1,X2))
& arg2(sK2(X0,X1,X2),X2)
& arg1(sK2(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2))],[nnf_39]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK3(VAR_0,VAR_1,VAR_2),bezeichnen_1_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( subr(sK2(VAR_0,VAR_1,VAR_2),rprs_0)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK3(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK3(VAR_0,VAR_1,VAR_2),sK2(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( hsit(VAR_0,sK3(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK2(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK2(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als_sk]) ).
cnf(c_235,plain,
( arg1(sK2(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_240,plain,
( subr(sK2(A,B,C),rprs_0)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_265,plain,
attr(c6477,c6478),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_266,plain,
attr(c6477,c6479),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_268,plain,
sub(c6478,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_269,plain,
val(c6478,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_270,plain,
sub(c6479,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_271,plain,
val(c6479,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_272,plain,
prop(c6485,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_273,plain,
sub(c6485,c6492),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_274,plain,
pmod(c6492,erst_1_1,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_287,plain,
attr(c6515,c6516),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_289,plain,
sub(c6516,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_290,plain,
val(c6516,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1591]) ).
cnf(c_609,negated_conjecture,
( ~ val(V6,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(B,rprs_0)
| ~ sub(V6,name_1_1)
| ~ sub(V8,A)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ prop(V8,schwarz_1_1)
| ~ obj(V7,C)
| ~ attr(F,V6)
| ~ attr(C,E)
| ~ attr(C,D)
| ~ arg1(B,C)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_news_1591_neg]) ).
cnf(c_610,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_161,c_160]) ).
cnf(c_1587,plain,
( arg1(sK1(c6478,A,c6477),c6477)
| ~ sub(c6478,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_232,c_265]) ).
cnf(c_1588,plain,
( arg1(sK1(c6478,eigenname_1_1,c6477),c6477)
| ~ sub(c6478,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1587,c_160]) ).
cnf(c_756,plain,
arg1(sK1(c6478,eigenname_1_1,c6477),c6477),
inference(resolve,[status(thm)],[c_1588,c_268]) ).
cnf(c_1589,plain,
( arg2(sK1(c6478,A,c6477),c6477)
| ~ sub(c6478,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_233,c_265]) ).
cnf(c_1590,plain,
( arg2(sK1(c6478,eigenname_1_1,c6477),c6477)
| ~ sub(c6478,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1589,c_160]) ).
cnf(c_758,plain,
arg2(sK1(c6478,eigenname_1_1,c6477),c6477),
inference(resolve,[status(thm)],[c_1590,c_268]) ).
cnf(c_1591,plain,
( subs(sK1(c6478,A,c6477),hei__337en_1_1)
| ~ sub(c6478,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_234,c_265]) ).
cnf(c_1592,plain,
( subs(sK1(c6478,eigenname_1_1,c6477),hei__337en_1_1)
| ~ sub(c6478,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1591,c_160]) ).
cnf(c_766,plain,
subs(sK1(c6478,eigenname_1_1,c6477),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1592,c_268]) ).
cnf(c_1593,plain,
( obj(sK0(c6479,A,c6477),c6477)
| ~ sub(c6479,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_123,c_266]) ).
cnf(c_1594,plain,
( obj(sK0(c6479,familiename_1_1,c6477),c6477)
| ~ sub(c6479,familiename_1_1) ),
inference(resolve,[status(thm)],[c_1593,c_610]) ).
cnf(c_1218,plain,
obj(sK0(c6479,familiename_1_1,c6477),c6477),
inference(resolve,[status(thm)],[c_1594,c_270]) ).
cnf(c_1595,plain,
( subr(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,A),rprs_0)
| ~ subs(sK1(c6478,eigenname_1_1,c6477),hei__337en_1_1)
| ~ arg2(sK1(c6478,eigenname_1_1,c6477),A) ),
inference(resolve,[status(thm)],[c_240,c_756]) ).
cnf(c_1596,plain,
( subr(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,c6477),rprs_0)
| ~ subs(sK1(c6478,eigenname_1_1,c6477),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1595,c_758]) ).
cnf(c_1306,plain,
subr(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,c6477),rprs_0),
inference(resolve,[status(thm)],[c_1596,c_766]) ).
cnf(c_1597,plain,
( arg1(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,A),c6477)
| ~ subs(sK1(c6478,eigenname_1_1,c6477),hei__337en_1_1)
| ~ arg2(sK1(c6478,eigenname_1_1,c6477),A) ),
inference(resolve,[status(thm)],[c_235,c_756]) ).
cnf(c_1598,plain,
( arg1(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,c6477),c6477)
| ~ subs(sK1(c6478,eigenname_1_1,c6477),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1597,c_758]) ).
cnf(c_1311,plain,
arg1(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,c6477),c6477),
inference(resolve,[status(thm)],[c_1598,c_766]) ).
cnf(c_1599,negated_conjecture,
( ~ val(F,s__374dafrika_0)
| ~ val(D,nelson_0)
| ~ val(C,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(F,name_1_1)
| ~ sub(V7,c6492)
| ~ sub(D,eigenname_1_1)
| ~ sub(C,familiename_1_1)
| ~ prop(V7,schwarz_1_1)
| ~ obj(V6,B)
| ~ attr(E,F)
| ~ attr(B,D)
| ~ attr(B,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_609,c_274]) ).
cnf(c_1600,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(F,c6492)
| ~ sub(B,eigenname_1_1)
| ~ sub(c6479,familiename_1_1)
| ~ prop(F,schwarz_1_1)
| ~ obj(E,c6477)
| ~ attr(C,D)
| ~ attr(c6477,B)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1599,c_266]) ).
cnf(c_1601,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(E,c6492)
| ~ sub(c6478,eigenname_1_1)
| ~ sub(c6479,familiename_1_1)
| ~ prop(E,schwarz_1_1)
| ~ obj(D,c6477)
| ~ attr(B,C)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1600,c_265]) ).
cnf(c_1602,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c6516,name_1_1)
| ~ sub(C,c6492)
| ~ sub(c6478,eigenname_1_1)
| ~ sub(c6479,familiename_1_1)
| ~ prop(C,schwarz_1_1)
| ~ obj(B,c6477)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1601,c_287]) ).
cnf(c_1603,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c6516,name_1_1)
| ~ sub(B,c6492)
| ~ sub(c6478,eigenname_1_1)
| ~ sub(c6479,familiename_1_1)
| ~ prop(B,schwarz_1_1)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1602,c_1218]) ).
cnf(c_1604,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c6516,name_1_1)
| ~ sub(c6485,c6492)
| ~ sub(c6478,eigenname_1_1)
| ~ sub(c6479,familiename_1_1)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1603,c_272]) ).
cnf(c_1605,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c6516,name_1_1)
| ~ sub(c6485,c6492)
| ~ sub(c6478,eigenname_1_1)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1604,c_270]) ).
cnf(c_1606,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c6516,name_1_1)
| ~ sub(c6485,c6492)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1605,c_268]) ).
cnf(c_1607,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c6516,name_1_1)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1606,c_273]) ).
cnf(c_1608,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ subr(A,rprs_0)
| ~ arg1(A,c6477) ),
inference(resolve,[status(thm)],[c_1607,c_289]) ).
cnf(c_1609,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ val(c6479,mandela_0)
| ~ arg1(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,c6477),c6477) ),
inference(resolve,[status(thm)],[c_1608,c_1306]) ).
cnf(c_1610,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ val(c6478,nelson_0)
| ~ arg1(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,c6477),c6477) ),
inference(resolve,[status(thm)],[c_1609,c_271]) ).
cnf(c_1611,negated_conjecture,
( ~ val(c6516,s__374dafrika_0)
| ~ arg1(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,c6477),c6477) ),
inference(resolve,[status(thm)],[c_1610,c_269]) ).
cnf(c_1612,negated_conjecture,
~ arg1(sK2(sK1(c6478,eigenname_1_1,c6477),c6477,c6477),c6477),
inference(resolve,[status(thm)],[c_1611,c_290]) ).
cnf(c_1586,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1311,c_1612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 01:15:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2940649 was started by sandbox2 on n020,
% 0.08/0.35 % Sun Sep 27 01:15:49 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.41/0.82
% 2.41/0.82 % SInE (scan): 88 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10070 zapped, of 10188 axioms (depth 3).
% 2.41/0.82
% 2.41/0.82 % From the command line: assign(max_seconds, 300).
% 2.41/0.82
% 2.41/0.82 % given #500 (A,wt=5): 659 has_varia_leq(apartheidsstaat_1_1,varia_c). [ur(166,a,309,a)].
% 2.41/0.82
% 2.41/0.82 % given #1000 (T,wt=5): 1157 has_gener_leq(hegemonie_1_1,gener_c). [ur(163,a,572,a,b,164,a)].
% 2.41/0.82
% 2.41/0.82 % SZS status Theorem for theBenchmark
% 2.41/0.82
% 2.41/0.82 % Proof 1 at 0.22 (+ 0.05) seconds.
% 2.41/0.82 % Length of proof is 36.
% 2.41/0.82 % Level of proof is 4.
% 2.41/0.82 % Maximum clause weight is 112.000.
% 2.41/0.82 % Given clauses 1176.
% 2.41/0.82
% 2.41/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------