%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+20 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Thu Sep 24 12:14:10 PM UTC 2026
% Result : Theorem 149.90s 19.67s
% Output : CNFRefutation 145.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 101 ( 21 unt; 15 def)
% Number of atoms : 724 ( 0 equ)
% Maximal formula atoms : 295 ( 7 avg)
% Number of connectives : 905 ( 282 ~; 250 |; 356 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 295 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 16 prp; 0-3 aty)
% Number of functors : 77 ( 77 usr; 73 con; 0-3 aty)
% Number of variables : 205 ( 178 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,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('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,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('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10188,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('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,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(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( 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('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10191,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10692,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(pre_NNF_transformation,[status(thm)],[f159]) ).
fof(f10693,plain,
! [X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10692]) ).
fof(f10694,plain,
! [X2] :
( ( subs(sK50_skl(X2),hei__337en_1_1)
& arg2(sK50_skl(X2),X2)
& arg1(sK50_skl(X2),X2) )
| ! [X0,X1] :
( ~ 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,[sK50_skl]),skolemize(X3,sK50_skl(X2))],[f10693]) ).
fof(f10695,plain,
! [X0,X1,X2] :
( ~ sub(X2,X0)
| ~ attr(X1,X2)
| arg1(sK50_skl(X1),X1)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10696,plain,
! [X0,X1,X2] :
( ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| arg2(sK50_skl(X0),X0)
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| subs(sK50_skl(X2),hei__337en_1_1)
| ~ attr(X2,X0)
| ~ sub(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10705,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(pre_NNF_transformation,[status(thm)],[f161]) ).
fof(f10706,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,bezeichnen_1_1)
& ? [X4] :
( 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(miniscoping,[status(thm)],[f10705]) ).
fof(f10707,plain,
! [X0,X1,X2] :
( ( subs(sK52_skl(X2,X1,X0),bezeichnen_1_1)
& subr(sK53_skl(X2,X1,X0),rprs_0)
& obj(sK52_skl(X2,X1,X0),X1)
& mcont(sK52_skl(X2,X1,X0),sK53_skl(X2,X1,X0))
& hsit(X0,sK52_skl(X2,X1,X0))
& arg2(sK53_skl(X2,X1,X0),X2)
& arg1(sK53_skl(X2,X1,X0),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl]),skolemize(X3,sK52_skl(X2,X1,X0)),skolemize(X4,sK53_skl(X2,X1,X0))],[f10706]) ).
fof(f10708,plain,
! [X0,X1,X2] :
( ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X0)
| ~ arg1(X2,X1)
| arg1(sK53_skl(X0,X1,X2),X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10709,plain,
! [X0,X1,X2] :
( ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| arg2(sK53_skl(X2,X1,X0),X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( ~ arg2(X0,X2)
| subr(sK53_skl(X2,X1,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f20815,plain,
! [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(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X6] :
( ~ val(X6,s__374dafrika_0)
| ! [X2] :
( ~ val(X2,nelson_0)
| ! [X1] :
( ~ val(X1,mandela_0)
| ! [X3] :
( ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ! [X4] :
( ! [X8] : ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ! [X0] :
( ! [X7] : ~ obj(X7,X0)
| ! [X5] : ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X6,s__374dafrika_0)
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X2,X8)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X1)
| ~ attr(X5,X6)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20830,plain,
obj(c2016,c54),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20846,plain,
attr(c46,c47),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20848,plain,
sub(c47,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20849,plain,
val(c47,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20850,plain,
attr(c54,c55),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20851,plain,
attr(c54,c56),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20852,plain,
sub(c54,mensch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20853,plain,
sub(c55,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20854,plain,
val(c55,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20855,plain,
sub(c56,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20856,plain,
val(c56,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21148,definition,
! [X0,X1,X2,X3,X4,X7,X8] :
( sQ0_spl
<=> ( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X8)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X1)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21149,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ0_spl
| ~ val(X3,nelson_0)
| ~ attr(X2,X4)
| ~ obj(X6,X2)
| ~ subr(X0,rprs_0)
| ~ arg1(X0,X2)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X1,X5)
| ~ sub(X4,familiename_1_1)
| ~ val(X4,mandela_0)
| ~ attr(X2,X3)
| ~ arg2(X0,X1) ),
inference(component_clause,[status(thm)],[f21148]) ).
fof(f21151,definition,
! [X5,X6] :
( sQ1_spl
<=> ( ~ val(X6,s__374dafrika_0)
| ~ sub(X6,name_1_1)
| ~ attr(X5,X6) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21152,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ attr(X1,X0)
| ~ val(X0,s__374dafrika_0)
| ~ sub(X0,name_1_1) ),
inference(component_clause,[status(thm)],[f21151]) ).
fof(f21154,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21148,f21151]) ).
fof(f21157,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ attr(X2,X3)
| ~ obj(X5,X2)
| ~ subr(X0,rprs_0)
| ~ arg1(X0,X2)
| ~ sub(c55,eigenname_1_1)
| ~ sub(X1,X4)
| ~ sub(X3,familiename_1_1)
| ~ val(X3,mandela_0)
| ~ attr(X2,c55)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f20854,f21149]) ).
fof(f21158,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ2_spl
<=> ( ~ attr(X2,X3)
| ~ obj(X5,X2)
| ~ subr(X0,rprs_0)
| ~ arg1(X0,X2)
| ~ sub(X1,X4)
| ~ sub(X3,familiename_1_1)
| ~ val(X3,mandela_0)
| ~ attr(X2,c55)
| ~ arg2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21159,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ arg2(X0,X2)
| ~ attr(X1,c55)
| ~ obj(X5,X1)
| ~ subr(X0,rprs_0)
| ~ sub(X4,familiename_1_1)
| ~ val(X4,mandela_0)
| ~ attr(X1,X4)
| ~ sub(X2,X3)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21158]) ).
fof(f21161,definition,
( sQ3_spl
<=> sub(c55,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21163,plain,
( sQ3_spl
| ~ sub(c55,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f21161]) ).
fof(f21164,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21157,f21158,f21161,f21148]) ).
fof(f21165,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21163,f20853]) ).
fof(f21166,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21165]) ).
fof(f21504,plain,
! [X0] :
( ~ sQ1_spl
| ~ attr(X0,c47)
| ~ val(c47,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f20848,f21152]) ).
fof(f21509,definition,
( sQ24_spl
<=> val(c47,s__374dafrika_0) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f21511,plain,
( sQ24_spl
| ~ val(c47,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f21509]) ).
fof(f21512,definition,
! [X0] :
( sQ25_spl
<=> ~ attr(X0,c47) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f21513,plain,
! [X0] :
( ~ sQ25_spl
| ~ attr(X0,c47) ),
inference(component_clause,[status(thm)],[f21512]) ).
fof(f21515,plain,
( ~ sQ1_spl
| sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f21504,f21509,f21512,f21151]) ).
fof(f21516,plain,
( ~ sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20846,f21513]) ).
fof(f21517,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21511,f20849]) ).
fof(f21518,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f21517]) ).
fof(f21519,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f21516]) ).
fof(f24208,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ arg2(X0,X2)
| ~ attr(X1,c55)
| ~ obj(X4,X1)
| ~ subr(X0,rprs_0)
| ~ val(c56,mandela_0)
| ~ attr(X1,c56)
| ~ sub(X2,X3)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20855,f21159]) ).
fof(f24213,definition,
! [X0,X1,X2,X3,X4] :
( sQ60_spl
<=> ( ~ arg2(X0,X2)
| ~ attr(X1,c55)
| ~ obj(X4,X1)
| ~ subr(X0,rprs_0)
| ~ attr(X1,c56)
| ~ sub(X2,X3)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f24214,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ60_spl
| ~ attr(X3,c56)
| ~ subr(X4,rprs_0)
| ~ arg1(X4,X3)
| ~ attr(X3,c55)
| ~ arg2(X4,X0)
| ~ obj(X2,X3)
| ~ sub(X0,X1) ),
inference(component_clause,[status(thm)],[f24213]) ).
fof(f24216,definition,
( sQ61_spl
<=> val(c56,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f24218,plain,
( sQ61_spl
| ~ val(c56,mandela_0) ),
inference(component_clause,[status(thm)],[f24216]) ).
fof(f24219,plain,
( ~ sQ2_spl
| ~ sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f24208,f24213,f24216,f21158]) ).
fof(f24220,plain,
( sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24218,f20856]) ).
fof(f24221,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f24220]) ).
fof(f24222,plain,
! [X0,X1,X2,X3] :
( ~ sQ60_spl
| ~ subr(X3,rprs_0)
| ~ arg1(X3,c54)
| ~ attr(c54,c55)
| ~ arg2(X3,X0)
| ~ obj(X2,c54)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f24214,f20851]) ).
fof(f24223,definition,
! [X0,X1,X3] :
( sQ62_spl
<=> ( ~ subr(X3,rprs_0)
| ~ arg1(X3,c54)
| ~ arg2(X3,X0)
| ~ sub(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f24224,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| ~ arg2(X0,X1)
| ~ sub(X1,X2)
| ~ subr(X0,rprs_0)
| ~ arg1(X0,c54) ),
inference(component_clause,[status(thm)],[f24223]) ).
fof(f24226,definition,
! [X2] :
( sQ63_spl
<=> ~ obj(X2,c54) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f24227,plain,
! [X0] :
( ~ sQ63_spl
| ~ obj(X0,c54) ),
inference(component_clause,[status(thm)],[f24226]) ).
fof(f24229,definition,
( sQ64_spl
<=> attr(c54,c55) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f24231,plain,
( sQ64_spl
| ~ attr(c54,c55) ),
inference(component_clause,[status(thm)],[f24229]) ).
fof(f24232,plain,
( ~ sQ60_spl
| ~ sQ64_spl
| sQ63_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f24222,f24223,f24226,f24229,f24213]) ).
fof(f24233,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24231,f20850]) ).
fof(f24234,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f24233]) ).
fof(f24235,plain,
( ~ sQ63_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20830,f24227]) ).
fof(f24236,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f24235]) ).
fof(f24237,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ62_spl
| ~ subs(X4,hei__337en_1_1)
| ~ arg1(X4,X3)
| ~ arg2(sK53_skl(X2,X3,X4),X0)
| ~ arg2(X4,X2)
| ~ arg1(sK53_skl(X2,X3,X4),c54)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f24224,f10713]) ).
fof(f24239,plain,
! [X0,X1,X2,X3] :
( ~ sQ62_spl
| ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X3)
| ~ arg1(X2,c54)
| ~ subs(X2,hei__337en_1_1)
| ~ arg1(X2,c54)
| ~ arg2(sK53_skl(X3,c54,X2),X0)
| ~ arg2(X2,X3)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f24237,f10708]) ).
fof(f24240,plain,
! [X0,X1,X2,X3] :
( ~ sQ62_spl
| ~ subs(X2,hei__337en_1_1)
| ~ arg1(X2,c54)
| ~ arg2(sK53_skl(X3,c54,X2),X0)
| ~ arg2(X2,X3)
| ~ sub(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f24239]) ).
fof(f24241,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X0)
| ~ arg1(X2,c54)
| ~ subs(X2,hei__337en_1_1)
| ~ arg1(X2,c54)
| ~ arg2(X2,X0)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f24240,f10709]) ).
fof(f24242,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| ~ arg2(X0,X1)
| ~ arg1(X0,c54)
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1) ),
inference(duplicate_literals_removal,[status(thm)],[f24241]) ).
fof(f24246,plain,
! [X0,X1,X2,X3] :
( ~ sQ62_spl
| ~ sub(X3,X2)
| ~ attr(c54,X3)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ arg2(sK50_skl(c54),X0)
| ~ sub(X0,X1)
| ~ subs(sK50_skl(c54),hei__337en_1_1) ),
inference(resolution,[status(thm)],[f24242,f10695]) ).
fof(f24248,definition,
( sQ65_spl
<=> subs(sK50_skl(c54),hei__337en_1_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f24250,plain,
( sQ65_spl
| ~ subs(sK50_skl(c54),hei__337en_1_1) ),
inference(component_clause,[status(thm)],[f24248]) ).
fof(f24251,definition,
! [X0,X1] :
( sQ66_spl
<=> ( ~ arg2(sK50_skl(c54),X0)
| ~ sub(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f24252,plain,
! [X0,X1] :
( ~ sQ66_spl
| ~ arg2(sK50_skl(c54),X0)
| ~ sub(X0,X1) ),
inference(component_clause,[status(thm)],[f24251]) ).
fof(f24254,definition,
! [X2,X3] :
( sQ67_spl
<=> ( ~ sub(X3,X2)
| ~ attr(c54,X3)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f24255,plain,
! [X0,X1] :
( ~ sQ67_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c54,X0) ),
inference(component_clause,[status(thm)],[f24254]) ).
fof(f24257,plain,
( ~ sQ62_spl
| sQ67_spl
| sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f24246,f24248,f24251,f24254,f24223]) ).
fof(f24258,plain,
! [X0,X1] :
( sQ65_spl
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c54,X0)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f24250,f10697]) ).
fof(f24260,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c54,X1)
| ~ sub(c54,X0) ),
inference(resolution,[status(thm)],[f24252,f10696]) ).
fof(f24261,definition,
! [X0] :
( sQ68_spl
<=> ~ sub(c54,X0) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f24262,plain,
! [X0] :
( ~ sQ68_spl
| ~ sub(c54,X0) ),
inference(component_clause,[status(thm)],[f24261]) ).
fof(f24264,plain,
( ~ sQ66_spl
| sQ67_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f24260,f24261,f24254,f24251]) ).
fof(f24266,plain,
( ~ sQ68_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20852,f24262]) ).
fof(f24273,plain,
! [X0] :
( ~ sQ67_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c54,X0) ),
inference(resolution,[status(thm)],[f24255,f10191]) ).
fof(f24274,plain,
( ~ sQ67_spl
| ~ attr(c54,c55) ),
inference(resolution,[status(thm)],[f24273,f20853]) ).
fof(f24275,plain,
( ~ sQ67_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f24274,f24229,f24254]) ).
fof(f24276,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f24266]) ).
fof(f24277,plain,
( sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f24258,f24254,f24248]) ).
fof(f24278,plain,
$false,
inference(sat_refutation,[status(thm)],[f21154,f21164,f21166,f21515,f21518,f21519,f24219,f24221,f24232,f24234,f24236,f24257,f24264,f24275,f24276,f24277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR116+20 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n006.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 15:08:42 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.42/0.70 % Drodi V4.1.1
% 149.90/19.67 % Refutation found
% 149.90/19.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 149.90/19.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.61/20.65 % Elapsed time: 20.165993 seconds
% 9.61/20.65 % CPU time: 151.685841 seconds
% 9.61/20.65 % Total memory used: 714.483 MB
% 9.61/20.65 % Net memory used: 653.957 MB
%------------------------------------------------------------------------------