%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+20 : 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 : n005.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 07:07:52 AM UTC 2026
% Result : Theorem 3.83s 1.10s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 599 ( 0 equ)
% Maximal formula atoms : 295 ( 9 avg)
% Number of connectives : 723 ( 190 ~; 175 |; 356 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 295 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 77 ( 77 usr; 73 con; 0-3 aty)
% Number of variables : 134 ( 18 sgn 50 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
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_1772,axiom,
( varia(an_f__374hrer_1_1,varia_c)
& refer(an_f__374hrer_1_1,refer_c)
& quant(an_f__374hrer_1_1,one)
& gener(an_f__374hrer_1_1,ge)
& fact(an_f__374hrer_1_1,real)
& etype(an_f__374hrer_1_1,int0)
& card(an_f__374hrer_1_1,int1)
& sort(an_f__374hrer_1_1,d)
& varia(partei_1_1,varia_c)
& refer(partei_1_1,refer_c)
& quant(partei_1_1,quant_c)
& gener(partei_1_1,ge)
& fact(partei_1_1,real)
& etype(partei_1_1,int1)
& card(partei_1_1,card_c)
& sort(partei_1_1,io)
& sort(partei_1_1,d)
& varia(kongre__337_1_1,varia_c)
& refer(kongre__337_1_1,refer_c)
& quant(kongre__337_1_1,one)
& gener(kongre__337_1_1,ge)
& fact(kongre__337_1_1,real)
& etype(kongre__337_1_1,int0)
& card(kongre__337_1_1,int1)
& sort(kongre__337_1_1,io)
& sort(kongre__337_1_1,d)
& sort(mandela_0,fe)
& 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(c56,varia_c)
& refer(c56,indet)
& quant(c56,one)
& gener(c56,sp)
& fact(c56,real)
& etype(c56,int0)
& card(c56,int1)
& sort(c56,na)
& varia(c55,varia_c)
& refer(c55,indet)
& quant(c55,one)
& gener(c55,sp)
& fact(c55,real)
& etype(c55,int0)
& card(c55,int1)
& sort(c55,na)
& sort(s__374dafrika_0,fe)
& 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(c47,varia_c)
& refer(c47,indet)
& quant(c47,one)
& gener(c47,sp)
& fact(c47,real)
& etype(c47,int0)
& card(c47,int1)
& sort(c47,na)
& varia(c46,con)
& refer(c46,det)
& quant(c46,one)
& gener(c46,sp)
& fact(c46,real)
& etype(c46,int0)
& card(c46,int1)
& sort(c46,io)
& sort(c46,d)
& sort(kuenftig_1_1,tq)
& sort(voraussichtlich_1_1,tq)
& sort(c41,tq)
& 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)
& varia(parteibo__337_1_1,varia_c)
& refer(parteibo__337_1_1,refer_c)
& quant(parteibo__337_1_1,one)
& gener(parteibo__337_1_1,ge)
& fact(parteibo__337_1_1,real)
& etype(parteibo__337_1_1,int0)
& card(parteibo__337_1_1,int1)
& sort(parteibo__337_1_1,d)
& varia(c40,varia_c)
& refer(c40,det)
& quant(c40,mult)
& gener(c40,sp)
& fact(c40,real)
& etype(c40,int1)
& card(c40,cons(x_constant,cons(int1,nil)))
& sort(c40,d)
& sort(hand_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(einheit_1_2,varia_c)
& refer(einheit_1_2,refer_c)
& quant(einheit_1_2,quant_c)
& gener(einheit_1_2,ge)
& fact(einheit_1_2,real)
& etype(einheit_1_2,int1)
& card(einheit_1_2,card_c)
& sort(einheit_1_2,d)
& sort(national__1_1,nq)
& sort(frei_1_1,nq)
& varia(c2055,varia_c)
& refer(c2055,indet)
& quant(c2055,one)
& gener(c2055,sp)
& fact(c2055,real)
& etype(c2055,int0)
& card(c2055,int1)
& sort(c2055,na)
& varia(c2054,con)
& refer(c2054,det)
& quant(c2054,one)
& gener(c2054,sp)
& fact(c2054,real)
& etype(c2054,int1)
& card(c2054,int1)
& sort(c2054,d)
& gener(lassen_1_4,ge)
& fact(lassen_1_4,real)
& sort(lassen_1_4,da)
& varia(c2058,varia_c)
& refer(c2058,det)
& quant(c2058,nfquant)
& gener(c2058,sp)
& fact(c2058,real)
& etype(c2058,int1)
& card(c2058,int2)
& sort(c2058,d)
& varia(c54,con)
& refer(c54,det)
& quant(c54,one)
& gener(c54,sp)
& fact(c54,real)
& etype(c54,int0)
& card(c54,int1)
& sort(c54,d)
& gener(wollen_0,gener_c)
& fact(wollen_0,real)
& sort(wollen_0,md)
& gener(c2016,sp)
& fact(c2016,real)
& sort(c2016,da)
& sort(anc_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(nationalkongre__337_1_1,varia_c)
& refer(nationalkongre__337_1_1,refer_c)
& quant(nationalkongre__337_1_1,one)
& gener(nationalkongre__337_1_1,ge)
& fact(nationalkongre__337_1_1,real)
& etype(nationalkongre__337_1_1,int0)
& card(nationalkongre__337_1_1,int1)
& sort(nationalkongre__337_1_1,io)
& sort(nationalkongre__337_1_1,d)
& sort(afrikanisch__1_1,nq)
& varia(c20,varia_c)
& refer(c20,indet)
& quant(c20,one)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,int0)
& card(c20,int1)
& sort(c20,na)
& varia(c26,varia_c)
& refer(c26,det)
& quant(c26,one)
& gener(c26,sp)
& fact(c26,real)
& etype(c26,int0)
& card(c26,int1)
& sort(c26,d)
& varia(c19,con)
& refer(c19,det)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,io)
& sort(c19,d)
& varia(regierung_1_1,varia_c)
& refer(regierung_1_1,refer_c)
& quant(regierung_1_1,quant_c)
& gener(regierung_1_1,ge)
& fact(regierung_1_1,real)
& etype(regierung_1_1,int1)
& card(regierung_1_1,card_c)
& sort(regierung_1_1,io)
& sort(regierung_1_1,d)
& varia(bildung_1_1,varia_c)
& refer(bildung_1_1,refer_c)
& quant(bildung_1_1,one)
& gener(bildung_1_1,ge)
& fact(bildung_1_1,real)
& etype(bildung_1_1,int0)
& card(bildung_1_1,int1)
& sort(bildung_1_1,ad)
& varia(c1710,varia_c)
& refer(c1710,indet)
& quant(c1710,one)
& gener(c1710,sp)
& fact(c1710,real)
& etype(c1710,int1)
& card(c1710,int1)
& sort(c1710,io)
& sort(c1710,d)
& varia(c1706,con)
& refer(c1706,det)
& quant(c1706,one)
& gener(c1706,sp)
& fact(c1706,real)
& etype(c1706,int0)
& card(c1706,int1)
& sort(c1706,ad)
& sub(parteibo__337_1_1,an_f__374hrer_1_1)
& assoc(parteibo__337_1_1,partei_1_1)
& sub(nationalkongre__337_1_1,kongre__337_1_1)
& assoc(nationalkongre__337_1_1,national__1_1)
& val(c56,mandela_0)
& sub(c56,familiename_1_1)
& val(c55,nelson_0)
& sub(c55,eigenname_1_1)
& sub(c54,mensch_1_1)
& attr(c54,c56)
& attr(c54,c55)
& val(c47,s__374dafrika_0)
& sub(c47,name_1_1)
& sub(c46,land_1_1)
& attr(c46,c47)
& attch(c46,c2058)
& modp(c41,voraussichtlich_1_1,kuenftig_1_1)
& prop(c40,c41)
& pred(c40,pr__344sident_1_1)
& sub(c26,parteibo__337_1_1)
& itms(c2058,c26,c40)
& val(c2055,hand_0)
& sub(c2055,familiename_1_1)
& sub(c2054,einheit_1_2)
& prop(c2054,national__1_1)
& prop(c2054,frei_1_1)
& attr(c2054,c2055)
& attch(c2054,c1710)
& subs(c2016,lassen_1_4)
& ornt(c2016,c2058)
& obj(c2016,c54)
& modl(c2016,wollen_0)
& circ(c2016,c1706)
& agt(c2016,c19)
& val(c20,anc_0)
& sub(c20,name_1_1)
& sub(c19,nationalkongre__337_1_1)
& prop(c19,afrikanisch__1_1)
& attr(c19,c20)
& attch(c19,c26)
& sub(c1710,regierung_1_1)
& subs(c1706,bildung_1_1)
& obj(c1706,c1710) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1772) ).
fof(synth_qa07_010_mira_news_1772,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)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
file('theBenchmark.p',synth_qa07_010_mira_news_1772) ).
fof(synth_qa07_010_mira_news_1772_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)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1772]) ).
cnf(c_174,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_46,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(sK0(X0,X1,X2),hei__337en_1_1)
& arg2(sK0(X0,X1,X2),X2)
& arg1(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_46]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(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(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] :
( arg1(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_hei__337en_1_1_sk]) ).
cnf(c_252,plain,
( arg1(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_hei__337en_1_1]) ).
cnf(c_253,plain,
( arg2(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_hei__337en_1_1]) ).
cnf(c_254,plain,
( subs(sK0(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_47,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(sK2(X0,X1,X2),bezeichnen_1_1)
& subr(sK1(X0,X1,X2),rprs_0)
& obj(sK2(X0,X1,X2),X1)
& mcont(sK2(X0,X1,X2),sK1(X0,X1,X2))
& hsit(X0,sK2(X0,X1,X2))
& arg2(sK1(X0,X1,X2),X2)
& arg1(sK1(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2))],[nnf_47]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK2(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(sK1(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(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) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK2(VAR_0,VAR_1,VAR_2),sK1(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,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] :
( arg2(sK1(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(sK1(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_255,plain,
( arg1(sK1(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_256,plain,
( arg2(sK1(A,B,C),C)
| ~ 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_259,plain,
( obj(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_260,plain,
( subr(sK1(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_316,plain,
attr(c46,c47),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_318,plain,
sub(c47,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_319,plain,
val(c47,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_320,plain,
attr(c54,c55),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_321,plain,
attr(c54,c56),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_322,plain,
sub(c54,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_323,plain,
sub(c55,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_324,plain,
val(c55,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_325,plain,
sub(c56,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_326,plain,
val(c56,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1772]) ).
cnf(c_583,negated_conjecture,
( ~ val(V6,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(V6,name_1_1)
| ~ sub(C,V8)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ obj(V7,B)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_news_1772_neg]) ).
cnf(c_1493,plain,
( arg1(sK0(c55,A,c54),c54)
| ~ sub(c55,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_252,c_320]) ).
cnf(c_1494,plain,
( arg1(sK0(c55,eigenname_1_1,c54),c54)
| ~ sub(c55,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1493,c_174]) ).
cnf(c_776,plain,
arg1(sK0(c55,eigenname_1_1,c54),c54),
inference(resolve,[status(thm)],[c_1494,c_323]) ).
cnf(c_1495,plain,
( arg2(sK0(c55,A,c54),c54)
| ~ sub(c55,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_253,c_320]) ).
cnf(c_1496,plain,
( arg2(sK0(c55,eigenname_1_1,c54),c54)
| ~ sub(c55,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1495,c_174]) ).
cnf(c_786,plain,
arg2(sK0(c55,eigenname_1_1,c54),c54),
inference(resolve,[status(thm)],[c_1496,c_323]) ).
cnf(c_1497,plain,
( subs(sK0(c55,A,c54),hei__337en_1_1)
| ~ sub(c55,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_254,c_320]) ).
cnf(c_1498,plain,
( subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1)
| ~ sub(c55,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1497,c_174]) ).
cnf(c_787,plain,
subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1498,c_323]) ).
cnf(c_1499,plain,
( subr(sK1(sK0(c55,eigenname_1_1,c54),c54,A),rprs_0)
| ~ subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1)
| ~ arg2(sK0(c55,eigenname_1_1,c54),A) ),
inference(resolve,[status(thm)],[c_260,c_776]) ).
cnf(c_1500,plain,
( subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1499,c_786]) ).
cnf(c_1189,plain,
subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0),
inference(resolve,[status(thm)],[c_1500,c_787]) ).
cnf(c_1501,plain,
( obj(sK2(sK0(c55,eigenname_1_1,c54),c54,A),c54)
| ~ subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1)
| ~ arg2(sK0(c55,eigenname_1_1,c54),A) ),
inference(resolve,[status(thm)],[c_259,c_776]) ).
cnf(c_1502,plain,
( obj(sK2(sK0(c55,eigenname_1_1,c54),c54,c54),c54)
| ~ subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1501,c_786]) ).
cnf(c_1190,plain,
obj(sK2(sK0(c55,eigenname_1_1,c54),c54,c54),c54),
inference(resolve,[status(thm)],[c_1502,c_787]) ).
cnf(c_1503,plain,
( arg2(sK1(sK0(c55,eigenname_1_1,c54),c54,A),A)
| ~ subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1)
| ~ arg2(sK0(c55,eigenname_1_1,c54),A) ),
inference(resolve,[status(thm)],[c_256,c_776]) ).
cnf(c_1504,plain,
( arg2(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54)
| ~ subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1503,c_786]) ).
cnf(c_1193,plain,
arg2(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54),
inference(resolve,[status(thm)],[c_1504,c_787]) ).
cnf(c_1505,plain,
( arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,A),c54)
| ~ subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1)
| ~ arg2(sK0(c55,eigenname_1_1,c54),A) ),
inference(resolve,[status(thm)],[c_255,c_776]) ).
cnf(c_1506,plain,
( arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54)
| ~ subs(sK0(c55,eigenname_1_1,c54),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1505,c_786]) ).
cnf(c_1194,plain,
arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54),
inference(resolve,[status(thm)],[c_1506,c_787]) ).
cnf(c_1507,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c54,V6)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(F,A)
| ~ attr(D,E)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),A) ),
inference(resolve,[status(thm)],[c_583,c_1193]) ).
cnf(c_1508,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c54,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ obj(D,c54)
| ~ attr(B,C)
| ~ attr(c54,A)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1507,c_321]) ).
cnf(c_1509,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c54,D)
| ~ sub(c55,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ obj(C,c54)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1508,c_320]) ).
cnf(c_1510,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ sub(c47,name_1_1)
| ~ sub(c54,B)
| ~ sub(c55,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ obj(A,c54)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1509,c_316]) ).
cnf(c_1511,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ sub(c47,name_1_1)
| ~ sub(c54,A)
| ~ sub(c55,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1510,c_1190]) ).
cnf(c_1512,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ sub(c47,name_1_1)
| ~ sub(c54,A)
| ~ sub(c55,eigenname_1_1)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1511,c_325]) ).
cnf(c_1513,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ sub(c47,name_1_1)
| ~ sub(c54,A)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1512,c_323]) ).
cnf(c_1514,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ sub(c47,name_1_1)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1513,c_322]) ).
cnf(c_1515,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1514,c_318]) ).
cnf(c_1516,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1515,c_1189]) ).
cnf(c_1517,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1516,c_326]) ).
cnf(c_1518,negated_conjecture,
( ~ val(c47,s__374dafrika_0)
| ~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1517,c_324]) ).
cnf(c_1519,negated_conjecture,
~ arg1(sK1(sK0(c55,eigenname_1_1,c54),c54,c54),c54),
inference(resolve,[status(thm)],[c_1518,c_319]) ).
cnf(c_1492,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1194,c_1519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR116+20 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n005.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 01:14:02 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 3503537 was started by sandbox2 on n005,
% 0.18/0.44 % Sun Sep 27 01:14:02 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 3.83/1.10
% 3.83/1.10 % SInE (scan): 93 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10065 zapped, of 10188 axioms (depth 3).
% 3.83/1.10
% 3.83/1.10 % From the command line: assign(max_seconds, 300).
% 3.83/1.10
% 3.83/1.10 % given #500 (A,wt=5): 673 has_varia_leq(regierung_1_1,varia_c). [ur(180,a,364,a)].
% 3.83/1.10
% 3.83/1.10 % given #1000 (T,wt=5): 1171 subsort(nq,p). [ur(195,a,209,a,b,612,a)].
% 3.83/1.10
% 3.83/1.10 % SZS status Theorem for theBenchmark
% 3.83/1.10
% 3.83/1.10 % Proof 1 at 0.41 (+ 0.09) seconds.
% 3.83/1.10 % Length of proof is 32.
% 3.83/1.10 % Level of proof is 4.
% 3.83/1.10 % Maximum clause weight is 44.000.
% 3.83/1.10 % Given clauses 1075.
% 3.83/1.10
% 3.83/1.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------