%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 24.95s 3.89s
% Output : CNFRefutation 20.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 100 ( 22 unt; 13 def)
% Number of atoms : 647 ( 0 equ)
% Maximal formula atoms : 230 ( 6 avg)
% Number of connectives : 802 ( 255 ~; 224 |; 307 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 230 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 37 usr; 14 prp; 0-7 aty)
% Number of functors : 64 ( 64 usr; 59 con; 0-3 aty)
% Number of variables : 184 ( 154 !; 30 ?)
% 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(f160,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('/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)
& 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('/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)
& 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(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(nachfolger_1_1,varia_c)
& refer(nachfolger_1_1,refer_c)
& quant(nachfolger_1_1,one)
& gener(nachfolger_1_1,ge)
& fact(nachfolger_1_1,real)
& etype(nachfolger_1_1,int0)
& card(nachfolger_1_1,int1)
& sort(nachfolger_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(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(c56,varia_c)
& refer(c56,det)
& 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(anc_0,fe)
& varia(einrichtung_1_2,varia_c)
& refer(einrichtung_1_2,refer_c)
& quant(einrichtung_1_2,quant_c)
& gener(einrichtung_1_2,ge)
& fact(einrichtung_1_2,real)
& etype(einrichtung_1_2,int1)
& card(einrichtung_1_2,card_c)
& sort(einrichtung_1_2,io)
& sort(einrichtung_1_2,d)
& varia(c48,varia_c)
& refer(c48,indet)
& quant(c48,one)
& gener(c48,sp)
& fact(c48,real)
& etype(c48,int0)
& card(c48,int1)
& sort(c48,na)
& varia(voraussicht_1_1,varia_c)
& refer(voraussicht_1_1,refer_c)
& quant(voraussicht_1_1,one)
& gener(voraussicht_1_1,ge)
& fact(voraussicht_1_1,real)
& etype(voraussicht_1_1,int0)
& card(voraussicht_1_1,int1)
& sort(voraussicht_1_1,ad)
& varia(c59,varia_c)
& refer(c59,refer_c)
& quant(c59,one)
& gener(c59,gener_c)
& fact(c59,real)
& etype(c59,int0)
& card(c59,int1)
& sort(c59,d)
& varia(c54,varia_c)
& refer(c54,det)
& quant(c54,one)
& gener(c54,sp)
& fact(c54,real)
& etype(c54,int0)
& card(c54,int1)
& sort(c54,d)
& varia(c47,con)
& refer(c47,det)
& quant(c47,one)
& gener(c47,sp)
& fact(c47,real)
& etype(c47,int1)
& card(c47,int1)
& sort(c47,io)
& sort(c47,d)
& varia(c41,con)
& refer(c41,det)
& quant(c41,one)
& gener(c41,gener_c)
& fact(c41,real)
& etype(c41,int0)
& card(c41,int1)
& sort(c41,ad)
& varia(c228,varia_c)
& refer(c228,refer_c)
& quant(c228,quant_c)
& gener(c228,gener_c)
& fact(c228,real)
& etype(c228,etype_c)
& card(c228,card_c)
& sort(c228,ent)
& 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(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(c171,varia_c)
& refer(c171,indet)
& quant(c171,one)
& gener(c171,sp)
& fact(c171,real)
& etype(c171,int0)
& card(c171,int1)
& sort(c171,na)
& varia(c170,con)
& refer(c170,det)
& quant(c170,one)
& gener(c170,sp)
& fact(c170,real)
& etype(c170,int0)
& card(c170,int1)
& sort(c170,io)
& sort(c170,d)
& 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(c161,varia_c)
& refer(c161,refer_c)
& quant(c161,one)
& gener(c161,ge)
& fact(c161,real)
& etype(c161,int0)
& card(c161,int1)
& sort(c161,d)
& sort(schwarz_1_1,tq)
& varia(c159,con)
& refer(c159,det)
& quant(c159,one)
& gener(c159,sp)
& fact(c159,real)
& etype(c159,int0)
& card(c159,int1)
& sort(c159,d)
& sort(klerk_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(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(c154,varia_c)
& refer(c154,indet)
& quant(c154,one)
& gener(c154,sp)
& fact(c154,real)
& etype(c154,int0)
& card(c154,int1)
& sort(c154,na)
& varia(c153,con)
& refer(c153,det)
& quant(c153,one)
& gener(c153,sp)
& fact(c153,real)
& etype(c153,int0)
& card(c153,int1)
& sort(c153,d)
& sub(c59,nachfolger_1_1)
& val(c56,mandela_0)
& sub(c56,familiename_1_1)
& val(c55,nelson_0)
& sub(c55,eigenname_1_1)
& sub(c54,an_f__374hrer_1_1)
& attr(c54,c56)
& attr(c54,c55)
& val(c48,anc_0)
& sub(c48,name_1_1)
& sub(c47,einrichtung_1_2)
& attr(c47,c48)
& subs(c41,voraussicht_1_1)
& tupl_p7(c228,c41,c47,c54,c59,c153,c159)
& val(c171,s__374dafrika_0)
& sub(c171,name_1_1)
& sub(c170,land_1_1)
& attr(c170,c171)
& attch(c170,c159)
& pmod(c161,erst_1_1,pr__344sident_1_1)
& sub(c159,c161)
& prop(c159,schwarz_1_1)
& val(c154,klerk_0)
& sub(c154,familiename_1_1)
& sub(c153,mensch_1_1)
& attr(c153,c154) ),
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] :
( arg1(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10696,plain,
! [X0,X1,X2] :
( arg2(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( subs(sK50_skl(X0),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10698,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(pre_NNF_transformation,[status(thm)],[f160]) ).
fof(f10699,plain,
! [X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(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)],[f10698]) ).
fof(f10700,plain,
! [X2] :
( ( subs(sK51_skl(X2),stehen_1_b)
& scar(sK51_skl(X2),X2)
& obj(sK51_skl(X2),X2)
& mcont(sK51_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,[sK51_skl]),skolemize(X3,sK51_skl(X2))],[f10699]) ).
fof(f10702,plain,
! [X0,X1,X2] :
( obj(sK51_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10700]) ).
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] :
( arg1(sK53_skl(X2,X1,X0),X1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( subr(sK53_skl(X2,X1,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ 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)
| ~ 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(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)
| ~ prop(X4,schwarz_1_1)
| ! [X0] :
( ! [X7] : ~ obj(X7,X0)
| ! [X5] : ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ) ) ) ) ) ),
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(X1,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X8,X0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ prop(X8,schwarz_1_1)
| ~ obj(X7,X2)
| ~ attr(X5,X6)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20822,plain,
prop(c159,schwarz_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
sub(c159,c161),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
pmod(c161,erst_1_1,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
attr(c170,c171),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
sub(c171,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
val(c171,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20836,plain,
attr(c54,c55),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20837,plain,
attr(c54,c56),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20839,plain,
sub(c55,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20840,plain,
val(c55,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20841,plain,
sub(c56,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20842,plain,
val(c56,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21083,definition,
! [X0,X8] :
( sQ0_spl
<=> ( ~ sub(X8,X0)
| ~ prop(X8,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21084,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sub(X1,X0)
| ~ prop(X1,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(component_clause,[status(thm)],[f21083]) ).
fof(f21086,definition,
! [X1,X2,X3,X4,X7] :
( sQ1_spl
<=> ( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X2)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21087,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ val(X3,nelson_0)
| ~ val(X2,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X2,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21086]) ).
fof(f21089,definition,
! [X5,X6] :
( sQ2_spl
<=> ( ~ val(X6,s__374dafrika_0)
| ~ sub(X6,name_1_1)
| ~ attr(X5,X6) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21090,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ val(X1,s__374dafrika_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21089]) ).
fof(f21092,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21083,f21086,f21089]) ).
fof(f21119,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ val(c55,nelson_0)
| ~ val(X2,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,familiename_1_1)
| ~ obj(X3,X1)
| ~ attr(X1,c55)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20839,f21087]) ).
fof(f21121,definition,
! [X0,X1,X2,X3] :
( sQ5_spl
<=> ( ~ val(X2,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,familiename_1_1)
| ~ obj(X3,X1)
| ~ attr(X1,c55)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21122,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ val(X2,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,familiename_1_1)
| ~ obj(X3,X1)
| ~ attr(X1,c55)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21121]) ).
fof(f21124,definition,
( sQ6_spl
<=> val(c55,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21126,plain,
( sQ6_spl
| ~ val(c55,nelson_0) ),
inference(component_clause,[status(thm)],[f21124]) ).
fof(f21127,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f21119,f21121,f21124,f21086]) ).
fof(f21128,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21126,f20840]) ).
fof(f21129,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f21128]) ).
fof(f21134,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c159,X0)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f21084,f20822]) ).
fof(f21135,plain,
( ~ sQ0_spl
| ~ pmod(c161,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f21134,f20823]) ).
fof(f21136,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21135,f20824]) ).
fof(f21137,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f21136]) ).
fof(f21155,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ5_spl
| ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,c55)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f10702,f21122]) ).
fof(f21157,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ val(X3,mandela_0)
| ~ subr(X2,rprs_0)
| ~ sub(X3,familiename_1_1)
| ~ attr(c54,X3)
| ~ arg1(X2,c54)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c54,X0) ),
inference(resolution,[status(thm)],[f21155,f20836]) ).
fof(f21158,definition,
! [X0,X1] :
( sQ7_spl
<=> ( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c54,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21159,plain,
! [X0,X1] :
( ~ sQ7_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)],[f21158]) ).
fof(f21161,definition,
! [X2] :
( sQ8_spl
<=> ( ~ subr(X2,rprs_0)
| ~ arg1(X2,c54) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21162,plain,
! [X0] :
( ~ sQ8_spl
| ~ subr(X0,rprs_0)
| ~ arg1(X0,c54) ),
inference(component_clause,[status(thm)],[f21161]) ).
fof(f21164,definition,
! [X3] :
( sQ9_spl
<=> ( ~ val(X3,mandela_0)
| ~ sub(X3,familiename_1_1)
| ~ attr(c54,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21165,plain,
! [X0] :
( ~ sQ9_spl
| ~ val(X0,mandela_0)
| ~ sub(X0,familiename_1_1)
| ~ attr(c54,X0) ),
inference(component_clause,[status(thm)],[f21164]) ).
fof(f21167,plain,
( ~ sQ5_spl
| sQ9_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f21157,f21158,f21161,f21164,f21121]) ).
fof(f21169,plain,
! [X0] :
( ~ sQ7_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c54,X0) ),
inference(resolution,[status(thm)],[f21159,f10191]) ).
fof(f21179,plain,
! [X0] :
( ~ sQ2_spl
| ~ sub(c171,name_1_1)
| ~ attr(X0,c171) ),
inference(resolution,[status(thm)],[f21090,f20829]) ).
fof(f21180,definition,
! [X0] :
( sQ11_spl
<=> ~ attr(X0,c171) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f21181,plain,
! [X0] :
( ~ sQ11_spl
| ~ attr(X0,c171) ),
inference(component_clause,[status(thm)],[f21180]) ).
fof(f21183,definition,
( sQ12_spl
<=> sub(c171,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21185,plain,
( sQ12_spl
| ~ sub(c171,name_1_1) ),
inference(component_clause,[status(thm)],[f21183]) ).
fof(f21186,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f21179,f21180,f21183,f21089]) ).
fof(f21187,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21185,f20828]) ).
fof(f21188,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f21187]) ).
fof(f21189,plain,
( ~ sQ11_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20826,f21181]) ).
fof(f21190,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f21189]) ).
fof(f21197,plain,
( ~ sQ9_spl
| ~ sub(c56,familiename_1_1)
| ~ attr(c54,c56) ),
inference(resolution,[status(thm)],[f21165,f20842]) ).
fof(f21198,definition,
( sQ13_spl
<=> attr(c54,c56) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f21200,plain,
( sQ13_spl
| ~ attr(c54,c56) ),
inference(component_clause,[status(thm)],[f21198]) ).
fof(f21201,definition,
( sQ14_spl
<=> sub(c56,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f21203,plain,
( sQ14_spl
| ~ sub(c56,familiename_1_1) ),
inference(component_clause,[status(thm)],[f21201]) ).
fof(f21204,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f21197,f21198,f21201,f21164]) ).
fof(f21205,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21203,f20841]) ).
fof(f21206,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f21205]) ).
fof(f21207,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21200,f20837]) ).
fof(f21208,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f21207]) ).
fof(f21228,plain,
( ~ sQ7_spl
| ~ attr(c54,c55) ),
inference(resolution,[status(thm)],[f21169,f20839]) ).
fof(f21229,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21228,f20836]) ).
fof(f21230,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f21229]) ).
fof(f23493,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ subr(sK53_skl(X1,c54,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c54) ),
inference(resolution,[status(thm)],[f10708,f21162]) ).
fof(f23494,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c54) ),
inference(forward_subsumption_resolution,[status(thm)],[f23493,f10713]) ).
fof(f23499,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X2)
| ~ arg2(sK50_skl(X0),X1)
| ~ arg1(sK50_skl(X0),c54) ),
inference(resolution,[status(thm)],[f23494,f10697]) ).
fof(f23501,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ8_spl
| ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c54,X3)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c54,X1)
| ~ arg2(sK50_skl(c54),X0) ),
inference(resolution,[status(thm)],[f23499,f10695]) ).
fof(f23502,definition,
! [X0] :
( sQ19_spl
<=> ~ arg2(sK50_skl(c54),X0) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f23503,plain,
! [X0] :
( ~ sQ19_spl
| ~ arg2(sK50_skl(c54),X0) ),
inference(component_clause,[status(thm)],[f23502]) ).
fof(f23505,plain,
( ~ sQ8_spl
| sQ7_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f23501,f23502,f21158,f21161]) ).
fof(f23506,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c54,X0) ),
inference(resolution,[status(thm)],[f23503,f10696]) ).
fof(f23507,plain,
( ~ sQ19_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f23506,f21158,f23502]) ).
fof(f23508,plain,
$false,
inference(sat_refutation,[status(thm)],[f21092,f21127,f21129,f21137,f21167,f21186,f21188,f21190,f21204,f21206,f21208,f21230,f23505,f23507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR116+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 15:06:51 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.43/0.70 % Drodi V4.1.1
% 24.95/3.89 % Refutation found
% 24.95/3.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 24.95/3.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.94/4.06 % Elapsed time: 3.591910 seconds
% 20.94/4.06 % CPU time: 25.584154 seconds
% 20.94/4.06 % Total memory used: 487.542 MB
% 20.94/4.06 % Net memory used: 481.496 MB
%------------------------------------------------------------------------------