%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+36 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 12:14:12 PM UTC 2026
% Result : Theorem 33.38s 4.71s
% Output : CNFRefutation 34.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 123 ( 21 unt; 16 def)
% Number of atoms : 756 ( 0 equ)
% Maximal formula atoms : 211 ( 6 avg)
% Number of connectives : 977 ( 344 ~; 304 |; 309 &)
% ( 16 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 211 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 46 ( 45 usr; 17 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 56 con; 0-3 aty)
% Number of variables : 282 ( 241 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f155,axiom,
! [X0,X1,X2] :
( ( state_adjective_state_binding(X1,X2)
& prop(X0,X1) )
=> ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ),
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(f9161,axiom,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(b__374ro_1_1,varia_c)
& refer(b__374ro_1_1,refer_c)
& quant(b__374ro_1_1,one)
& gener(b__374ro_1_1,ge)
& fact(b__374ro_1_1,real)
& etype(b__374ro_1_1,int0)
& card(b__374ro_1_1,int1)
& sort(b__374ro_1_1,io)
& sort(b__374ro_1_1,d)
& varia(haupt_1_1,varia_c)
& refer(haupt_1_1,refer_c)
& quant(haupt_1_1,one)
& gener(haupt_1_1,ge)
& fact(haupt_1_1,real)
& etype(haupt_1_1,int0)
& card(haupt_1_1,int1)
& sort(haupt_1_1,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(c7,varia_c)
& refer(c7,indet)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,na)
& varia(c6,varia_c)
& refer(c6,indet)
& quant(c6,one)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& sort(c6,na)
& gener(name_0,gener_c)
& fact(name_0,real)
& sort(name_0,st)
& sort(genadendal_0,fe)
& varia(c29,varia_c)
& refer(c29,indet)
& quant(c29,one)
& gener(c29,sp)
& fact(c29,real)
& etype(c29,int0)
& card(c29,int1)
& sort(c29,na)
& varia(c28,con)
& refer(c28,det)
& quant(c28,one)
& gener(c28,sp)
& fact(c28,real)
& etype(c28,int0)
& card(c28,int1)
& sort(c28,io)
& sort(c28,d)
& gener(umbenennen_1_1,ge)
& fact(umbenennen_1_1,real)
& sort(umbenennen_1_1,da)
& gener(c33,sp)
& fact(c33,real)
& sort(c33,st)
& gener(c34,sp)
& fact(c34,real)
& sort(c34,st)
& varia(c5,con)
& refer(c5,det)
& quant(c5,one)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sort(c5,d)
& gener(c26,sp)
& fact(c26,real)
& sort(c26,da)
& sort(kapstadt_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(stadt__1_1,varia_c)
& refer(stadt__1_1,refer_c)
& quant(stadt__1_1,one)
& gener(stadt__1_1,ge)
& fact(stadt__1_1,real)
& etype(stadt__1_1,int0)
& card(stadt__1_1,int1)
& sort(stadt__1_1,io)
& sort(stadt__1_1,d)
& varia(c22,varia_c)
& refer(c22,indet)
& quant(c22,one)
& gener(c22,sp)
& fact(c22,real)
& etype(c22,int0)
& card(c22,int1)
& sort(c22,na)
& varia(c21,con)
& refer(c21,det)
& quant(c21,one)
& gener(c21,sp)
& fact(c21,real)
& etype(c21,int0)
& card(c21,int1)
& sort(c21,io)
& sort(c21,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)
& sort(s__374dafrikanisch_1_1,nq)
& varia(c32,con)
& refer(c32,det)
& quant(c32,one)
& gener(c32,sp)
& fact(c32,real)
& etype(c32,int0)
& card(c32,int1)
& sort(c32,l)
& varia(c15,con)
& refer(c15,det)
& quant(c15,one)
& gener(c15,sp)
& fact(c15,real)
& etype(c15,int0)
& card(c15,int1)
& sort(c15,d)
& varia(hauptagentur_1_1,varia_c)
& refer(hauptagentur_1_1,refer_c)
& quant(hauptagentur_1_1,one)
& gener(hauptagentur_1_1,ge)
& fact(hauptagentur_1_1,real)
& etype(hauptagentur_1_1,int0)
& card(hauptagentur_1_1,int1)
& sort(hauptagentur_1_1,io)
& sort(hauptagentur_1_1,d)
& varia(c11,con)
& refer(c11,det)
& quant(c11,one)
& gener(c11,sp)
& fact(c11,real)
& etype(c11,int0)
& card(c11,int1)
& sort(c11,io)
& sort(c11,d)
& sub(hauptagentur_1_1,b__374ro_1_1)
& assoc(hauptagentur_1_1,haupt_1_1)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6)
& subr(c34,name_0)
& arg1(c34,c11)
& subr(c33,name_0)
& arg2(c33,c28)
& arg1(c33,c11)
& in(c32,c21)
& val(c29,genadendal_0)
& sub(c29,name_1_1)
& sub(c28,stadt__1_1)
& attr(c28,c29)
& subs(c26,umbenennen_1_1)
& rslt(c26,c33)
& obj(c26,c11)
& init(c26,c34)
& agt(c26,c5)
& val(c22,kapstadt_0)
& sub(c22,name_1_1)
& sub(c21,stadt__1_1)
& attr(c21,c22)
& sub(c15,pr__344sident_1_1)
& prop(c15,s__374dafrikanisch_1_1)
& loc(c15,c32)
& attch(c15,c11)
& sub(c11,hauptagentur_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(f10674,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f155]) ).
fof(f10675,plain,
! [X0,X2] :
( ? [X4] :
( val(X4,X2)
& sub(X4,name_1_1)
& ? [X3] :
( sub(X3,land_1_1)
& ? [X5] :
( loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ) )
| ! [X1] :
( ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ) ),
inference(miniscoping,[status(thm)],[f10674]) ).
fof(f10676,plain,
! [X0,X2] :
( ( val(sK47_skl(X2,X0),X2)
& sub(sK47_skl(X2,X0),name_1_1)
& sub(sK48_skl(X2,X0),land_1_1)
& loc(X0,sK49_skl(X2,X0))
& attr(sK48_skl(X2,X0),sK47_skl(X2,X0))
& in(sK49_skl(X2,X0),sK48_skl(X2,X0)) )
| ! [X1] :
( ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl]),skolemize(X4,sK47_skl(X2,X0)),skolemize(X3,sK48_skl(X2,X0)),skolemize(X5,sK49_skl(X2,X0))],[f10675]) ).
fof(f10677,plain,
! [X0,X1,X2] :
( in(sK49_skl(X2,X0),sK48_skl(X2,X0))
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10678,plain,
! [X0,X1,X2] :
( attr(sK48_skl(X2,X0),sK47_skl(X2,X0))
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10681,plain,
! [X0,X1,X2] :
( sub(sK47_skl(X2,X0),name_1_1)
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10682,plain,
! [X0,X1,X2] :
( val(sK47_skl(X2,X0),X2)
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
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(f19788,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f9161]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ val(X7,s__374dafrika_0)
| ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X7,name_1_1)
| ~ sub(X4,X9)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ obj(X8,X0)
| ~ attr(X6,X7)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ in(X5,X6) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X7] :
( ~ val(X7,s__374dafrika_0)
| ! [X2] :
( ~ val(X2,nelson_0)
| ! [X1] :
( ~ val(X1,mandela_0)
| ! [X3] :
( ~ subr(X3,rprs_0)
| ~ sub(X7,name_1_1)
| ! [X4] :
( ! [X9] : ~ sub(X4,X9)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ! [X0] :
( ! [X8] : ~ obj(X8,X0)
| ! [X6] :
( ~ attr(X6,X7)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ! [X5] : ~ in(X5,X6) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ val(X7,s__374dafrika_0)
| ~ val(X6,nelson_0)
| ~ val(X5,mandela_0)
| ~ subr(X2,rprs_0)
| ~ sub(X7,name_1_1)
| ~ sub(X4,X9)
| ~ sub(X6,eigenname_1_1)
| ~ sub(X5,familiename_1_1)
| ~ obj(X8,X3)
| ~ attr(X1,X7)
| ~ attr(X3,X6)
| ~ attr(X3,X5)
| ~ arg2(X2,X4)
| ~ arg1(X2,X3)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20821,plain,
prop(c15,s__374dafrikanisch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20842,plain,
attr(c5,c6),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20843,plain,
attr(c5,c7),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20844,plain,
sub(c5,mensch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20845,plain,
sub(c6,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20846,plain,
val(c6,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20847,plain,
sub(c7,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20848,plain,
val(c7,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21064,definition,
! [X0,X1,X7] :
( sQ0_spl
<=> ( ~ val(X7,s__374dafrika_0)
| ~ sub(X7,name_1_1)
| ~ attr(X1,X7)
| ~ in(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21065,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ val(X2,s__374dafrika_0)
| ~ sub(X2,name_1_1)
| ~ attr(X1,X2)
| ~ in(X0,X1) ),
inference(component_clause,[status(thm)],[f21064]) ).
fof(f21067,definition,
! [X2,X3,X4,X5,X6,X8,X9] :
( sQ1_spl
<=> ( ~ val(X6,nelson_0)
| ~ val(X5,mandela_0)
| ~ subr(X2,rprs_0)
| ~ sub(X4,X9)
| ~ sub(X6,eigenname_1_1)
| ~ sub(X5,familiename_1_1)
| ~ obj(X8,X3)
| ~ attr(X3,X6)
| ~ attr(X3,X5)
| ~ arg2(X2,X4)
| ~ arg1(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21068,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_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)],[f21067]) ).
fof(f21070,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21064,f21067]) ).
fof(f21351,plain,
! [X0] :
( in(sK49_skl(s__374dafrika_0,X0),sK48_skl(s__374dafrika_0,X0))
| ~ prop(X0,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f10677,f19788]) ).
fof(f21352,plain,
in(sK49_skl(s__374dafrika_0,c15),sK48_skl(s__374dafrika_0,c15)),
inference(resolution,[status(thm)],[f21351,f20821]) ).
fof(f21398,plain,
! [X0] :
( sub(sK47_skl(s__374dafrika_0,X0),name_1_1)
| ~ prop(X0,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f10681,f19788]) ).
fof(f21403,plain,
sub(sK47_skl(s__374dafrika_0,c15),name_1_1),
inference(resolution,[status(thm)],[f21398,f20821]) ).
fof(f21408,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ val(sK47_skl(s__374dafrika_0,c15),s__374dafrika_0)
| ~ attr(X1,sK47_skl(s__374dafrika_0,c15))
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[f21403,f21065]) ).
fof(f21410,definition,
! [X0,X1] :
( sQ2_spl
<=> ( ~ attr(X1,sK47_skl(s__374dafrika_0,c15))
| ~ in(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21411,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ attr(X1,sK47_skl(s__374dafrika_0,c15))
| ~ in(X0,X1) ),
inference(component_clause,[status(thm)],[f21410]) ).
fof(f21413,definition,
( sQ3_spl
<=> val(sK47_skl(s__374dafrika_0,c15),s__374dafrika_0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21415,plain,
( sQ3_spl
| ~ val(sK47_skl(s__374dafrika_0,c15),s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f21413]) ).
fof(f21416,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21408,f21410,f21413,f21064]) ).
fof(f21417,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ val(c6,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c6)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f21068,f20845]) ).
fof(f21418,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ4_spl
<=> ( ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c6)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21419,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ4_spl
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,c6)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21418]) ).
fof(f21421,definition,
( sQ5_spl
<=> val(c6,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21423,plain,
( sQ5_spl
| ~ val(c6,nelson_0) ),
inference(component_clause,[status(thm)],[f21421]) ).
fof(f21424,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21417,f21418,f21421,f21067]) ).
fof(f21425,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21423,f20846]) ).
fof(f21426,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21425]) ).
fof(f21430,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ state_adjective_state_binding(X1,s__374dafrika_0)
| ~ prop(c15,X1)
| ~ in(X0,sK48_skl(s__374dafrika_0,c15)) ),
inference(resolution,[status(thm)],[f21411,f10678]) ).
fof(f21431,definition,
! [X0] :
( sQ6_spl
<=> ~ in(X0,sK48_skl(s__374dafrika_0,c15)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21432,plain,
! [X0] :
( ~ sQ6_spl
| ~ in(X0,sK48_skl(s__374dafrika_0,c15)) ),
inference(component_clause,[status(thm)],[f21431]) ).
fof(f21434,definition,
! [X1] :
( sQ7_spl
<=> ( ~ state_adjective_state_binding(X1,s__374dafrika_0)
| ~ prop(c15,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21435,plain,
! [X0] :
( ~ sQ7_spl
| ~ state_adjective_state_binding(X0,s__374dafrika_0)
| ~ prop(c15,X0) ),
inference(component_clause,[status(thm)],[f21434]) ).
fof(f21437,plain,
( ~ sQ2_spl
| sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f21430,f21431,f21434,f21410]) ).
fof(f21440,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ4_spl
| ~ val(c7,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X4)
| ~ obj(X3,X1)
| ~ attr(X1,c6)
| ~ attr(X1,c7)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f21419,f20847]) ).
fof(f21441,definition,
! [X0,X1,X2,X3,X4] :
( sQ8_spl
<=> ( ~ subr(X0,rprs_0)
| ~ sub(X2,X4)
| ~ obj(X3,X1)
| ~ attr(X1,c6)
| ~ attr(X1,c7)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21442,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ8_spl
| ~ subr(X0,rprs_0)
| ~ sub(X2,X4)
| ~ obj(X3,X1)
| ~ attr(X1,c6)
| ~ attr(X1,c7)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21441]) ).
fof(f21444,definition,
( sQ9_spl
<=> val(c7,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21446,plain,
( sQ9_spl
| ~ val(c7,mandela_0) ),
inference(component_clause,[status(thm)],[f21444]) ).
fof(f21447,plain,
( ~ sQ4_spl
| ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f21440,f21441,f21444,f21418]) ).
fof(f21448,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21446,f20848]) ).
fof(f21449,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f21448]) ).
fof(f21453,plain,
! [X0] :
( sQ3_spl
| ~ state_adjective_state_binding(X0,s__374dafrika_0)
| ~ prop(c15,X0) ),
inference(resolution,[status(thm)],[f21415,f10682]) ).
fof(f21462,plain,
( ~ sQ6_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f21352,f21432]) ).
fof(f21463,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f21462]) ).
fof(f21464,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ subr(X0,rprs_0)
| ~ sub(X1,X3)
| ~ obj(X2,c5)
| ~ attr(c5,c6)
| ~ arg2(X0,X1)
| ~ arg1(X0,c5) ),
inference(resolution,[status(thm)],[f21442,f20843]) ).
fof(f21465,definition,
! [X0,X1,X3] :
( sQ12_spl
<=> ( ~ subr(X0,rprs_0)
| ~ sub(X1,X3)
| ~ arg2(X0,X1)
| ~ arg1(X0,c5) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21466,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ subr(X0,rprs_0)
| ~ sub(X1,X2)
| ~ arg2(X0,X1)
| ~ arg1(X0,c5) ),
inference(component_clause,[status(thm)],[f21465]) ).
fof(f21468,definition,
( sQ13_spl
<=> attr(c5,c6) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f21470,plain,
( sQ13_spl
| ~ attr(c5,c6) ),
inference(component_clause,[status(thm)],[f21468]) ).
fof(f21471,definition,
! [X2] :
( sQ14_spl
<=> ~ obj(X2,c5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f21472,plain,
! [X0] :
( ~ sQ14_spl
| ~ obj(X0,c5) ),
inference(component_clause,[status(thm)],[f21471]) ).
fof(f21474,plain,
( ~ sQ8_spl
| sQ14_spl
| ~ sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f21464,f21465,f21468,f21471,f21441]) ).
fof(f21475,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21470,f20842]) ).
fof(f21476,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f21475]) ).
fof(f21535,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ12_spl
| ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X0)
| ~ arg1(X2,X1)
| ~ sub(X3,X4)
| ~ arg2(sK53_skl(X0,X1,X2),X3)
| ~ arg1(sK53_skl(X0,X1,X2),c5) ),
inference(resolution,[status(thm)],[f21466,f10713]) ).
fof(f21537,plain,
( ~ sQ7_spl
| ~ prop(c15,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f21435,f19788]) ).
fof(f21538,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21537,f20821]) ).
fof(f21539,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f21538]) ).
fof(f21540,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f21453,f21434,f21413]) ).
fof(f21592,plain,
! [X0,X1,X2,X3] :
( ~ sQ12_spl
| ~ subs(X1,hei__337en_1_1)
| ~ arg2(X1,X0)
| ~ arg1(X1,c5)
| ~ subs(X1,hei__337en_1_1)
| ~ arg2(X1,X0)
| ~ arg1(X1,c5)
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X0,c5,X1),X2) ),
inference(resolution,[status(thm)],[f21535,f10708]) ).
fof(f21593,plain,
! [X0,X1,X2,X3] :
( ~ sQ12_spl
| ~ subs(X1,hei__337en_1_1)
| ~ arg2(X1,X0)
| ~ arg1(X1,c5)
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X0,c5,X1),X2) ),
inference(duplicate_literals_removal,[status(thm)],[f21592]) ).
fof(f21636,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X0)
| ~ arg1(X2,c5)
| ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X0)
| ~ arg1(X2,c5)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f21593,f10709]) ).
fof(f21637,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X0)
| ~ arg1(X2,c5)
| ~ sub(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f21636]) ).
fof(f21640,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ12_spl
| ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X3)
| ~ arg2(sK50_skl(X2),X0)
| ~ arg1(sK50_skl(X2),c5)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f21637,f10697]) ).
fof(f21642,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ12_spl
| ~ sub(X4,X5)
| ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X4)
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X2)
| ~ arg2(sK50_skl(c5),X0)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f21640,f10695]) ).
fof(f21643,definition,
! [X0,X1] :
( sQ21_spl
<=> ( ~ arg2(sK50_skl(c5),X0)
| ~ sub(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f21644,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ arg2(sK50_skl(c5),X0)
| ~ sub(X0,X1) ),
inference(component_clause,[status(thm)],[f21643]) ).
fof(f21646,definition,
! [X2,X3] :
( sQ22_spl
<=> ( ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f21647,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X0) ),
inference(component_clause,[status(thm)],[f21646]) ).
fof(f21649,plain,
( ~ sQ12_spl
| sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f21642,f21643,f21646,f21465]) ).
fof(f21689,plain,
! [X0,X1] :
( ~ sQ14_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X0) ),
inference(resolution,[status(thm)],[f21472,f10702]) ).
fof(f21693,plain,
! [X0] :
( ~ sQ22_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c5,X0) ),
inference(resolution,[status(thm)],[f21647,f10191]) ).
fof(f21694,plain,
( ~ sQ22_spl
| ~ attr(c5,c6) ),
inference(resolution,[status(thm)],[f21693,f20845]) ).
fof(f21695,plain,
( ~ sQ22_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f21694,f21468,f21646]) ).
fof(f21696,plain,
( ~ sQ14_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f21689,f21646,f21471]) ).
fof(f21698,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c5,X1)
| ~ sub(c5,X0) ),
inference(resolution,[status(thm)],[f21644,f10696]) ).
fof(f21699,definition,
! [X0] :
( sQ23_spl
<=> ~ sub(c5,X0) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f21700,plain,
! [X0] :
( ~ sQ23_spl
| ~ sub(c5,X0) ),
inference(component_clause,[status(thm)],[f21699]) ).
fof(f21702,plain,
( ~ sQ21_spl
| sQ22_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f21698,f21699,f21646,f21643]) ).
fof(f21703,plain,
( ~ sQ23_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20844,f21700]) ).
fof(f21704,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f21703]) ).
fof(f21705,plain,
$false,
inference(sat_refutation,[status(thm)],[f21070,f21416,f21424,f21426,f21437,f21447,f21449,f21463,f21474,f21476,f21539,f21540,f21649,f21695,f21696,f21702,f21704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR116+36 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 15:09:51 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 33.38/4.71 % Refutation found
% 33.38/4.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 33.38/4.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 34.23/4.78 % Elapsed time: 4.481876 seconds
% 34.23/4.78 % CPU time: 34.646044 seconds
% 34.23/4.78 % Total memory used: 592.415 MB
% 34.23/4.78 % Net memory used: 567.643 MB
%------------------------------------------------------------------------------