%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+15 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:14:09 PM UTC 2026
% Result : Theorem 116.04s 15.32s
% Output : CNFRefutation 116.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 98 ( 19 unt; 13 def)
% Number of atoms : 777 ( 0 equ)
% Maximal formula atoms : 323 ( 7 avg)
% Number of connectives : 975 ( 296 ~; 265 |; 398 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 323 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 42 ( 41 usr; 14 prp; 0-8 aty)
% Number of functors : 82 ( 82 usr; 77 con; 0-3 aty)
% Number of variables : 228 ( 198 !; 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,
( varia(problem_1_1,varia_c)
& refer(problem_1_1,refer_c)
& quant(problem_1_1,one)
& gener(problem_1_1,ge)
& fact(problem_1_1,real)
& etype(problem_1_1,int0)
& card(problem_1_1,int1)
& sort(problem_1_1,io)
& sort(problem_1_1,as)
& gener(schulden_2_1,ge)
& fact(schulden_2_1,real)
& sort(schulden_2_1,st)
& gener(planen_1_1,ge)
& fact(planen_1_1,real)
& sort(planen_1_1,da)
& varia(be_ziehung_1_1,varia_c)
& refer(be_ziehung_1_1,refer_c)
& quant(be_ziehung_1_1,one)
& gener(be_ziehung_1_1,ge)
& fact(be_ziehung_1_1,real)
& etype(be_ziehung_1_1,int0)
& card(be_ziehung_1_1,int1)
& sort(be_ziehung_1_1,re)
& sort(be_ziehung_1_1,as)
& varia(gesch__344ft_1_2,varia_c)
& refer(gesch__344ft_1_2,refer_c)
& quant(gesch__344ft_1_2,one)
& gener(gesch__344ft_1_2,ge)
& fact(gesch__344ft_1_2,real)
& etype(gesch__344ft_1_2,int0)
& card(gesch__344ft_1_2,int1)
& sort(gesch__344ft_1_2,ad)
& varia(c37993,varia_c)
& refer(c37993,det)
& quant(c37993,one)
& gener(c37993,sp)
& fact(c37993,real)
& etype(c37993,int0)
& card(c37993,int1)
& sort(c37993,o)
& varia(c38071,varia_c)
& refer(c38071,refer_c)
& quant(c38071,quant_c)
& gener(c38071,gener_c)
& fact(c38071,real)
& etype(c38071,etype_c)
& card(c38071,card_c)
& sort(c38071,ent)
& sort(eu_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(c38065,varia_c)
& refer(c38065,indet)
& quant(c38065,one)
& gener(c38065,sp)
& fact(c38065,real)
& etype(c38065,int0)
& card(c38065,int1)
& sort(c38065,na)
& varia(c38064,con)
& refer(c38064,det)
& quant(c38064,one)
& gener(c38064,sp)
& fact(c38064,real)
& etype(c38064,int1)
& card(c38064,int1)
& sort(c38064,io)
& sort(c38064,d)
& sort(afrikanisch__1_1,nq)
& varia(c38049,con)
& refer(c38049,det)
& quant(c38049,mult)
& gener(c38049,sp)
& fact(c38049,real)
& etype(c38049,int1)
& card(c38049,cons(x_constant,cons(int1,nil)))
& sort(c38049,io)
& sort(c38049,d)
& varia(gesch__344ftbeziehung_1_1,varia_c)
& refer(gesch__344ftbeziehung_1_1,refer_c)
& quant(gesch__344ftbeziehung_1_1,one)
& gener(gesch__344ftbeziehung_1_1,ge)
& fact(gesch__344ftbeziehung_1_1,real)
& etype(gesch__344ftbeziehung_1_1,int0)
& card(gesch__344ftbeziehung_1_1,int1)
& sort(gesch__344ftbeziehung_1_1,re)
& sort(gesch__344ftbeziehung_1_1,as)
& varia(c38044,con)
& refer(c38044,det)
& quant(c38044,mult)
& gener(c38044,sp)
& fact(c38044,real)
& etype(c38044,int1)
& card(c38044,cons(x_constant,cons(int1,nil)))
& sort(c38044,re)
& sort(c38044,as)
& varia(markt_1_1,varia_c)
& refer(markt_1_1,refer_c)
& quant(markt_1_1,one)
& gener(markt_1_1,ge)
& fact(markt_1_1,real)
& etype(markt_1_1,int0)
& card(markt_1_1,int1)
& sort(markt_1_1,d)
& sort(gemeinsam_1_1,tq)
& varia(schaffung_1_1,varia_c)
& refer(schaffung_1_1,refer_c)
& quant(schaffung_1_1,one)
& gener(schaffung_1_1,ge)
& fact(schaffung_1_1,real)
& etype(schaffung_1_1,int0)
& card(schaffung_1_1,int1)
& sort(schaffung_1_1,ad)
& varia(c38035,varia_c)
& refer(c38035,indet)
& quant(c38035,one)
& gener(c38035,sp)
& fact(c38035,real)
& etype(c38035,int0)
& card(c38035,int1)
& sort(c38035,d)
& sort(c37984,tq)
& varia(c38029,con)
& refer(c38029,det)
& quant(c38029,one)
& gener(c38029,sp)
& fact(c38029,real)
& etype(c38029,int0)
& card(c38029,int1)
& sort(c38029,ad)
& sort(afrika_0,fe)
& varia(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,one)
& gener(gebietsinstitution_1_1,ge)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,int0)
& card(gebietsinstitution_1_1,int1)
& sort(gebietsinstitution_1_1,io)
& sort(gebietsinstitution_1_1,d)
& varia(c38023,varia_c)
& refer(c38023,indet)
& quant(c38023,one)
& gener(c38023,sp)
& fact(c38023,real)
& etype(c38023,int0)
& card(c38023,int1)
& sort(c38023,na)
& varia(c38022,con)
& refer(c38022,det)
& quant(c38022,one)
& gener(c38022,sp)
& fact(c38022,real)
& etype(c38022,int0)
& card(c38022,int1)
& sort(c38022,io)
& sort(c38022,d)
& varia(schuldenproblem_1_1,varia_c)
& refer(schuldenproblem_1_1,refer_c)
& quant(schuldenproblem_1_1,one)
& gener(schuldenproblem_1_1,ge)
& fact(schuldenproblem_1_1,real)
& etype(schuldenproblem_1_1,int0)
& card(schuldenproblem_1_1,int1)
& sort(schuldenproblem_1_1,io)
& sort(schuldenproblem_1_1,as)
& varia(c38015,con)
& refer(c38015,det)
& quant(c38015,one)
& gener(c38015,sp)
& fact(c38015,real)
& etype(c38015,int0)
& card(c38015,int1)
& sort(c38015,io)
& sort(c38015,as)
& 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(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(c38008,varia_c)
& refer(c38008,indet)
& quant(c38008,one)
& gener(c38008,sp)
& fact(c38008,real)
& etype(c38008,int0)
& card(c38008,int1)
& sort(c38008,na)
& varia(c38007,varia_c)
& refer(c38007,indet)
& quant(c38007,one)
& gener(c38007,sp)
& fact(c38007,real)
& etype(c38007,int0)
& card(c38007,int1)
& sort(c38007,na)
& 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(c38001,varia_c)
& refer(c38001,indet)
& quant(c38001,one)
& gener(c38001,sp)
& fact(c38001,real)
& etype(c38001,int0)
& card(c38001,int1)
& sort(c38001,na)
& varia(c38006,varia_c)
& refer(c38006,det)
& quant(c38006,one)
& gener(c38006,sp)
& fact(c38006,real)
& etype(c38006,int0)
& card(c38006,int1)
& sort(c38006,d)
& varia(c38000,con)
& refer(c38000,det)
& quant(c38000,one)
& gener(c38000,sp)
& fact(c38000,real)
& etype(c38000,int0)
& card(c38000,int1)
& sort(c38000,io)
& sort(c38000,d)
& varia(attribut__1_1,varia_c)
& refer(attribut__1_1,refer_c)
& quant(attribut__1_1,one)
& gener(attribut__1_1,ge)
& fact(attribut__1_1,real)
& etype(attribut__1_1,int0)
& card(attribut__1_1,int1)
& sort(attribut__1_1,na)
& sort(attribut__1_1,io)
& varia(c37989,varia_c)
& refer(c37989,det)
& quant(c37989,one)
& gener(c37989,sp)
& fact(c37989,real)
& etype(c37989,int0)
& card(c37989,int1)
& sort(c37989,na)
& sort(c37989,io)
& sub(schuldenproblem_1_1,problem_1_1)
& assoc(schuldenproblem_1_1,schulden_2_1)
& chsp2(planen_1_1,c37984)
& subr(gesch__344ftbeziehung_1_1,be_ziehung_1_1)
& assoc(gesch__344ftbeziehung_1_1,gesch__344ft_1_2)
& tupl_p8(c38071,c37989,c37993,c38006,c38015,c38029,c38044,c38064)
& val(c38065,eu_0)
& sub(c38065,name_1_1)
& sub(c38064,einrichtung_1_2)
& attr(c38064,c38065)
& prop(c38049,afrikanisch__1_1)
& pred(c38049,land_1_1)
& attch(c38049,c38044)
& predr(c38044,gesch__344ftbeziehung_1_1)
& sub(c38035,markt_1_1)
& prop(c38035,gemeinsam_1_1)
& subs(c38029,schaffung_1_1)
& rslt(c38029,c38035)
& prop(c38029,c37984)
& val(c38023,afrika_0)
& sub(c38023,name_1_1)
& sub(c38022,gebietsinstitution_1_1)
& attr(c38022,c38023)
& attch(c38022,c38015)
& sub(c38015,schuldenproblem_1_1)
& val(c38008,mandela_0)
& sub(c38008,familiename_1_1)
& val(c38007,nelson_0)
& sub(c38007,eigenname_1_1)
& sub(c38006,pr__344sident_1_1)
& attr(c38006,c38008)
& attr(c38006,c38007)
& val(c38001,s__374dafrika_0)
& sub(c38001,name_1_1)
& sub(c38000,land_1_1)
& attr(c38000,c38001)
& attch(c38000,c38006)
& sub(c37989,attribut__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(c38000,c38001),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
sub(c38001,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
val(c38001,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
attr(c38006,c38007),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
attr(c38006,c38008),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
sub(c38006,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
sub(c38007,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
val(c38007,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
sub(c38008,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
val(c38008,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21176,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(f21177,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)],[f21176]) ).
fof(f21179,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(f21180,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ val(X1,s__374dafrika_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21179]) ).
fof(f21182,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21176,f21179]) ).
fof(f21191,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ val(c38007,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c38007)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20827,f21177]) ).
fof(f21193,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,c38007)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21194,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,c38007)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21193]) ).
fof(f21196,definition,
( sQ3_spl
<=> val(c38007,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21198,plain,
( sQ3_spl
| ~ val(c38007,nelson_0) ),
inference(component_clause,[status(thm)],[f21196]) ).
fof(f21199,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21191,f21193,f21196,f21176]) ).
fof(f21200,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21198,f20828]) ).
fof(f21201,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21200]) ).
fof(f21203,plain,
! [X0] :
( ~ sQ1_spl
| ~ val(c38001,s__374dafrika_0)
| ~ attr(X0,c38001) ),
inference(resolution,[status(thm)],[f21180,f20822]) ).
fof(f21204,definition,
! [X0] :
( sQ4_spl
<=> ~ attr(X0,c38001) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21205,plain,
! [X0] :
( ~ sQ4_spl
| ~ attr(X0,c38001) ),
inference(component_clause,[status(thm)],[f21204]) ).
fof(f21207,definition,
( sQ5_spl
<=> val(c38001,s__374dafrika_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21209,plain,
( sQ5_spl
| ~ val(c38001,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f21207]) ).
fof(f21210,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21203,f21204,f21207,f21179]) ).
fof(f21211,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21209,f20823]) ).
fof(f21212,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21211]) ).
fof(f21213,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20820,f21205]) ).
fof(f21214,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21213]) ).
fof(f21217,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ val(c38008,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X4)
| ~ obj(X3,X1)
| ~ attr(X1,c38007)
| ~ attr(X1,c38008)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20829,f21194]) ).
fof(f21220,definition,
! [X0,X1,X2,X3,X4] :
( sQ6_spl
<=> ( ~ subr(X0,rprs_0)
| ~ sub(X2,X4)
| ~ obj(X3,X1)
| ~ attr(X1,c38007)
| ~ attr(X1,c38008)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21221,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ6_spl
| ~ subr(X0,rprs_0)
| ~ sub(X2,X4)
| ~ obj(X3,X1)
| ~ attr(X1,c38007)
| ~ attr(X1,c38008)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21220]) ).
fof(f21223,definition,
( sQ7_spl
<=> val(c38008,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21225,plain,
( sQ7_spl
| ~ val(c38008,mandela_0) ),
inference(component_clause,[status(thm)],[f21223]) ).
fof(f21226,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f21217,f21220,f21223,f21193]) ).
fof(f21231,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21225,f20830]) ).
fof(f21232,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f21231]) ).
fof(f21235,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ6_spl
| ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c38007)
| ~ attr(X0,c38008)
| ~ 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,f21221]) ).
fof(f21241,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ6_spl
| ~ subr(X2,rprs_0)
| ~ sub(X3,X4)
| ~ attr(c38006,c38007)
| ~ arg2(X2,X3)
| ~ arg1(X2,c38006)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c38006,X0) ),
inference(resolution,[status(thm)],[f21235,f20825]) ).
fof(f21242,definition,
! [X0,X1] :
( sQ10_spl
<=> ( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c38006,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f21243,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c38006,X0) ),
inference(component_clause,[status(thm)],[f21242]) ).
fof(f21245,definition,
! [X2,X3,X4] :
( sQ11_spl
<=> ( ~ subr(X2,rprs_0)
| ~ sub(X3,X4)
| ~ arg2(X2,X3)
| ~ arg1(X2,c38006) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f21246,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ subr(X0,rprs_0)
| ~ sub(X1,X2)
| ~ arg2(X0,X1)
| ~ arg1(X0,c38006) ),
inference(component_clause,[status(thm)],[f21245]) ).
fof(f21248,definition,
( sQ12_spl
<=> attr(c38006,c38007) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21250,plain,
( sQ12_spl
| ~ attr(c38006,c38007) ),
inference(component_clause,[status(thm)],[f21248]) ).
fof(f21251,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f21241,f21242,f21245,f21248,f21220]) ).
fof(f21252,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21250,f20824]) ).
fof(f21253,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f21252]) ).
fof(f21255,plain,
! [X0] :
( ~ sQ10_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c38006,X0) ),
inference(resolution,[status(thm)],[f21243,f10191]) ).
fof(f21256,plain,
( ~ sQ10_spl
| ~ attr(c38006,c38007) ),
inference(resolution,[status(thm)],[f21255,f20827]) ).
fof(f21257,plain,
( ~ sQ10_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f21256,f21248,f21242]) ).
fof(f21260,definition,
! [X0,X1] :
( sQ13_spl
<=> ( ~ sub(X0,X1)
| ~ arg2(sK50_skl(c38006),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f21261,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sub(X0,X1)
| ~ arg2(sK50_skl(c38006),X0) ),
inference(component_clause,[status(thm)],[f21260]) ).
fof(f21267,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c38006,X1)
| ~ sub(c38006,X0) ),
inference(resolution,[status(thm)],[f21261,f10696]) ).
fof(f21268,definition,
! [X0] :
( sQ15_spl
<=> ~ sub(c38006,X0) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f21269,plain,
! [X0] :
( ~ sQ15_spl
| ~ sub(c38006,X0) ),
inference(component_clause,[status(thm)],[f21268]) ).
fof(f21271,plain,
( ~ sQ13_spl
| sQ10_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f21267,f21268,f21242,f21260]) ).
fof(f21272,plain,
( ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20826,f21269]) ).
fof(f21273,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f21272]) ).
fof(f21658,plain,
! [X0,X1,X2,X3] :
( ~ sQ11_spl
| ~ subr(sK53_skl(X1,c38006,X0),rprs_0)
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X1,c38006,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c38006) ),
inference(resolution,[status(thm)],[f10708,f21246]) ).
fof(f21659,plain,
! [X0,X1,X2,X3] :
( ~ sQ11_spl
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X1,c38006,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c38006) ),
inference(forward_subsumption_resolution,[status(thm)],[f21658,f10713]) ).
fof(f21660,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c38006)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c38006) ),
inference(resolution,[status(thm)],[f10709,f21659]) ).
fof(f21661,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c38006) ),
inference(duplicate_literals_removal,[status(thm)],[f21660]) ).
fof(f21711,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ11_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),c38006) ),
inference(resolution,[status(thm)],[f21661,f10697]) ).
fof(f21713,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ11_spl
| ~ sub(X4,X5)
| ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c38006,X4)
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c38006,X2)
| ~ sub(X0,X1)
| ~ arg2(sK50_skl(c38006),X0) ),
inference(resolution,[status(thm)],[f21711,f10695]) ).
fof(f21714,plain,
( ~ sQ11_spl
| sQ10_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f21713,f21260,f21242,f21245]) ).
fof(f21715,plain,
$false,
inference(sat_refutation,[status(thm)],[f21182,f21199,f21201,f21210,f21212,f21214,f21226,f21232,f21251,f21253,f21257,f21271,f21273,f21714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+15 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 15:10:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.28/0.58 % Drodi V4.1.1
% 116.04/15.32 % Refutation found
% 116.04/15.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 116.04/15.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.36/15.43 % Elapsed time: 15.061290 seconds
% 31.36/15.43 % CPU time: 117.043197 seconds
% 31.36/15.43 % Total memory used: 653.836 MB
% 31.36/15.43 % Net memory used: 610.032 MB
%------------------------------------------------------------------------------