%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+9 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:14:15 PM UTC 2026
% Result : Theorem 63.60s 28.79s
% Output : CNFRefutation 61.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 98 ( 19 unt; 13 def)
% Number of atoms : 693 ( 0 equ)
% Maximal formula atoms : 231 ( 7 avg)
% Number of connectives : 899 ( 304 ~; 273 |; 306 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 231 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 39 ( 38 usr; 14 prp; 0-7 aty)
% Number of functors : 67 ( 67 usr; 62 con; 0-3 aty)
% Number of variables : 232 ( 202 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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,
( sort(klein_1_1,mq)
& varia(c351,varia_c)
& refer(c351,refer_c)
& quant(c351,quant_c)
& gener(c351,gener_c)
& fact(c351,real)
& etype(c351,etype_c)
& card(c351,card_c)
& sort(c351,ent)
& sort(lesotho_0,fe)
& varia(kleinstaat_1_1,varia_c)
& refer(kleinstaat_1_1,refer_c)
& quant(kleinstaat_1_1,one)
& gener(kleinstaat_1_1,ge)
& fact(kleinstaat_1_1,real)
& etype(kleinstaat_1_1,int0)
& card(kleinstaat_1_1,int1)
& sort(kleinstaat_1_1,io)
& sort(kleinstaat_1_1,d)
& varia(c313,varia_c)
& refer(c313,indet)
& quant(c313,one)
& gener(c313,sp)
& fact(c313,real)
& etype(c313,int0)
& card(c313,int1)
& sort(c313,na)
& varia(c312,con)
& refer(c312,det)
& quant(c312,one)
& gener(c312,sp)
& fact(c312,real)
& etype(c312,int0)
& card(c312,int1)
& sort(c312,io)
& sort(c312,d)
& varia(eingreifen_2_1,varia_c)
& refer(eingreifen_2_1,refer_c)
& quant(eingreifen_2_1,one)
& gener(eingreifen_2_1,ge)
& fact(eingreifen_2_1,real)
& etype(eingreifen_2_1,int0)
& card(eingreifen_2_1,int1)
& sort(eingreifen_2_1,ad)
& sort(milit__344risch_1_1,nq)
& varia(c290,varia_c)
& refer(c290,indet)
& quant(c290,one)
& gener(c290,sp)
& fact(c290,real)
& etype(c290,int0)
& card(c290,int1)
& sort(c290,ad)
& sort(mugabe_0,fe)
& sort(robert_0,fe)
& varia(c284,varia_c)
& refer(c284,indet)
& quant(c284,one)
& gener(c284,sp)
& fact(c284,real)
& etype(c284,int0)
& card(c284,int1)
& sort(c284,na)
& varia(c283,varia_c)
& refer(c283,indet)
& quant(c283,one)
& gener(c283,sp)
& fact(c283,real)
& etype(c283,int0)
& card(c283,int1)
& sort(c283,na)
& varia(c282,con)
& refer(c282,det)
& quant(c282,one)
& gener(c282,sp)
& fact(c282,real)
& etype(c282,int0)
& card(c282,int1)
& sort(c282,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(c277,varia_c)
& refer(c277,indet)
& quant(c277,one)
& gener(c277,sp)
& fact(c277,real)
& etype(c277,int0)
& card(c277,int1)
& sort(c277,na)
& varia(c276,varia_c)
& refer(c276,indet)
& quant(c276,one)
& gener(c276,sp)
& fact(c276,real)
& etype(c276,int0)
& card(c276,int1)
& sort(c276,na)
& varia(c275,con)
& refer(c275,det)
& quant(c275,one)
& gener(c275,sp)
& fact(c275,real)
& etype(c275,int0)
& card(c275,int1)
& sort(c275,d)
& sort(simbabwe_0,fe)
& varia(c271,varia_c)
& refer(c271,indet)
& quant(c271,one)
& gener(c271,sp)
& fact(c271,real)
& etype(c271,int0)
& card(c271,int1)
& sort(c271,na)
& varia(c270,con)
& refer(c270,det)
& quant(c270,one)
& gener(c270,sp)
& fact(c270,real)
& etype(c270,int0)
& card(c270,int1)
& sort(c270,io)
& sort(c270,d)
& 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(c266,varia_c)
& refer(c266,indet)
& quant(c266,one)
& gener(c266,sp)
& fact(c266,real)
& etype(c266,int0)
& card(c266,int1)
& sort(c266,na)
& varia(c265,con)
& refer(c265,det)
& quant(c265,one)
& gener(c265,sp)
& fact(c265,real)
& etype(c265,int0)
& card(c265,int1)
& sort(c265,io)
& sort(c265,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)
& varia(c260,con)
& refer(c260,det)
& quant(c260,mult)
& gener(c260,sp)
& fact(c260,real)
& etype(c260,int1)
& card(c260,cons(x_constant,cons(int1,nil)))
& sort(c260,d)
& sub(kleinstaat_1_1,land_1_1)
& assoc(kleinstaat_1_1,klein_1_1)
& tupl_p7(c351,c260,c270,c275,c282,c290,c312)
& val(c313,lesotho_0)
& sub(c313,name_1_1)
& sub(c312,kleinstaat_1_1)
& attr(c312,c313)
& subs(c290,eingreifen_2_1)
& prop(c290,milit__344risch_1_1)
& val(c284,mugabe_0)
& sub(c284,familiename_1_1)
& val(c283,robert_0)
& sub(c283,eigenname_1_1)
& sub(c282,mensch_1_1)
& attr(c282,c284)
& attr(c282,c283)
& val(c277,mandela_0)
& sub(c277,familiename_1_1)
& val(c276,nelson_0)
& sub(c276,eigenname_1_1)
& sub(c275,mensch_1_1)
& attr(c275,c277)
& attr(c275,c276)
& val(c271,simbabwe_0)
& sub(c271,name_1_1)
& sub(c270,land_1_1)
& attr(c270,c271)
& val(c266,s__374dafrika_0)
& sub(c266,name_1_1)
& sub(c265,land_1_1)
& attr(c265,c266)
& attch(c265,c260)
& pred(c260,pr__344sident_1_1) ),
file('/export/starexec/sandbox2/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(f10709,plain,
! [X0,X1,X2] :
( arg2(sK53_skl(X2,X1,X0),X2)
| ~ 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)
| ~ 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(f20820,plain,
attr(c265,c266),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
sub(c266,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
val(c266,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
attr(c275,c276),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
attr(c275,c277),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
sub(c275,mensch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20831,plain,
sub(c276,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
val(c276,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
sub(c277,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
val(c277,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21084,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(f21085,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ0_spl
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X6)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X1)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21084]) ).
fof(f21087,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(f21088,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ val(X1,s__374dafrika_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21087]) ).
fof(f21090,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21084,f21087]) ).
fof(f21095,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ val(c276,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c276)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20831,f21085]) ).
fof(f21097,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ2_spl
<=> ( ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c276)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21098,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c276)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21097]) ).
fof(f21100,definition,
( sQ3_spl
<=> val(c276,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21102,plain,
( sQ3_spl
| ~ val(c276,nelson_0) ),
inference(component_clause,[status(thm)],[f21100]) ).
fof(f21103,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21095,f21097,f21100,f21084]) ).
fof(f21104,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21102,f20832]) ).
fof(f21105,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21104]) ).
fof(f21107,plain,
! [X0] :
( ~ sQ1_spl
| ~ val(c266,s__374dafrika_0)
| ~ attr(X0,c266) ),
inference(resolution,[status(thm)],[f21088,f20822]) ).
fof(f21108,definition,
! [X0] :
( sQ4_spl
<=> ~ attr(X0,c266) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21109,plain,
! [X0] :
( ~ sQ4_spl
| ~ attr(X0,c266) ),
inference(component_clause,[status(thm)],[f21108]) ).
fof(f21111,definition,
( sQ5_spl
<=> val(c266,s__374dafrika_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21113,plain,
( sQ5_spl
| ~ val(c266,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f21111]) ).
fof(f21114,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21107,f21108,f21111,f21087]) ).
fof(f21115,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21113,f20823]) ).
fof(f21116,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21115]) ).
fof(f21117,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20820,f21109]) ).
fof(f21118,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21117]) ).
fof(f21129,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ val(X5,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X6)
| ~ sub(X5,familiename_1_1)
| ~ attr(X0,c276)
| ~ attr(X0,X5)
| ~ arg2(X3,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,f21098]) ).
fof(f21131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ val(c277,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c276)
| ~ attr(X0,c277)
| ~ arg2(X3,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)],[f21129,f20833]) ).
fof(f21132,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ6_spl
<=> ( ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c276)
| ~ attr(X0,c277)
| ~ arg2(X3,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) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21133,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ6_spl
| ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c276)
| ~ attr(X0,c277)
| ~ arg2(X3,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(component_clause,[status(thm)],[f21132]) ).
fof(f21135,definition,
( sQ7_spl
<=> val(c277,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21137,plain,
( sQ7_spl
| ~ val(c277,mandela_0) ),
inference(component_clause,[status(thm)],[f21135]) ).
fof(f21138,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f21131,f21132,f21135,f21097]) ).
fof(f21144,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ6_spl
| ~ subr(X2,rprs_0)
| ~ sub(X3,X4)
| ~ attr(c275,c276)
| ~ arg2(X2,X3)
| ~ arg1(X2,c275)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c275,X0) ),
inference(resolution,[status(thm)],[f21133,f20829]) ).
fof(f21145,definition,
! [X0,X1] :
( sQ9_spl
<=> ( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c275,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21146,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c275,X0) ),
inference(component_clause,[status(thm)],[f21145]) ).
fof(f21148,definition,
! [X2,X3,X4] :
( sQ10_spl
<=> ( ~ subr(X2,rprs_0)
| ~ sub(X3,X4)
| ~ arg2(X2,X3)
| ~ arg1(X2,c275) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f21149,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ subr(X0,rprs_0)
| ~ sub(X1,X2)
| ~ arg2(X0,X1)
| ~ arg1(X0,c275) ),
inference(component_clause,[status(thm)],[f21148]) ).
fof(f21151,definition,
( sQ11_spl
<=> attr(c275,c276) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f21153,plain,
( sQ11_spl
| ~ attr(c275,c276) ),
inference(component_clause,[status(thm)],[f21151]) ).
fof(f21154,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f21144,f21145,f21148,f21151,f21132]) ).
fof(f21155,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21137,f20834]) ).
fof(f21156,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f21155]) ).
fof(f21157,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21153,f20828]) ).
fof(f21158,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f21157]) ).
fof(f21160,plain,
! [X0] :
( ~ sQ9_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c275,X0) ),
inference(resolution,[status(thm)],[f21146,f10191]) ).
fof(f21161,plain,
( ~ sQ9_spl
| ~ attr(c275,c276) ),
inference(resolution,[status(thm)],[f21160,f20831]) ).
fof(f21162,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f21161,f21151,f21145]) ).
fof(f21167,definition,
! [X0,X1] :
( sQ12_spl
<=> ( ~ sub(X0,X1)
| ~ arg2(sK50_skl(c275),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21168,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sub(X0,X1)
| ~ arg2(sK50_skl(c275),X0) ),
inference(component_clause,[status(thm)],[f21167]) ).
fof(f21174,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c275,X1)
| ~ sub(c275,X0) ),
inference(resolution,[status(thm)],[f21168,f10696]) ).
fof(f21175,definition,
! [X0] :
( sQ14_spl
<=> ~ sub(c275,X0) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f21176,plain,
! [X0] :
( ~ sQ14_spl
| ~ sub(c275,X0) ),
inference(component_clause,[status(thm)],[f21175]) ).
fof(f21178,plain,
( ~ sQ12_spl
| sQ9_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f21174,f21175,f21145,f21167]) ).
fof(f21179,plain,
( ~ sQ14_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20830,f21176]) ).
fof(f21180,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f21179]) ).
fof(f21437,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ subr(sK53_skl(X1,c275,X0),rprs_0)
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X1,c275,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c275) ),
inference(resolution,[status(thm)],[f10708,f21149]) ).
fof(f21438,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X1,c275,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c275) ),
inference(forward_subsumption_resolution,[status(thm)],[f21437,f10713]) ).
fof(f21486,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c275)
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c275) ),
inference(resolution,[status(thm)],[f21438,f10709]) ).
fof(f21487,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c275) ),
inference(duplicate_literals_removal,[status(thm)],[f21486]) ).
fof(f21490,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X3)
| ~ sub(X1,X2)
| ~ arg2(sK50_skl(X0),X1)
| ~ arg1(sK50_skl(X0),c275) ),
inference(resolution,[status(thm)],[f21487,f10697]) ).
fof(f21492,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ10_spl
| ~ sub(X4,X5)
| ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c275,X4)
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c275,X2)
| ~ sub(X0,X1)
| ~ arg2(sK50_skl(c275),X0) ),
inference(resolution,[status(thm)],[f21490,f10695]) ).
fof(f21493,plain,
( ~ sQ10_spl
| sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f21492,f21167,f21145,f21148]) ).
fof(f21494,plain,
$false,
inference(sat_refutation,[status(thm)],[f21090,f21103,f21105,f21114,f21116,f21118,f21138,f21154,f21156,f21158,f21162,f21178,f21180,f21493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR116+9 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/20.46 % Computer : n002.cluster.edu
% 0.17/20.46 % Model : x86_64 x86_64
% 0.17/20.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/20.46 % Memory : 8046.5625MB
% 0.17/20.46 % OS : Linux 6.8.0-71-generic
% 0.17/20.46 % CPULimit : 300
% 0.17/20.46 % WCLimit : 300
% 0.17/20.46 % DateTime : Mon Sep 21 15:13:24 UTC 2026
% 0.17/20.47 % CPUTime :
% 0.22/20.60 % Drodi V4.1.1
% 63.60/28.79 % Refutation found
% 63.60/28.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 63.60/28.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 61.40/28.90 % Elapsed time: 8.422498 seconds
% 61.40/28.90 % CPU time: 65.374771 seconds
% 61.40/28.90 % Total memory used: 629.175 MB
% 61.40/28.90 % Net memory used: 589.556 MB
%------------------------------------------------------------------------------