%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+45 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:14:14 PM UTC 2026
% Result : Theorem 100.38s 23.32s
% Output : CNFRefutation 100.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 110 ( 18 unt; 11 def)
% Number of atoms : 684 ( 0 equ)
% Maximal formula atoms : 136 ( 6 avg)
% Number of connectives : 942 ( 368 ~; 325 |; 234 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 136 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 37 usr; 12 prp; 0-3 aty)
% Number of functors : 55 ( 55 usr; 47 con; 0-3 aty)
% Number of variables : 291 ( 250 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/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/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(f9161,axiom,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
file('/export/starexec/sandbox/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/sandbox/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(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,quant_c)
& gener(mensch_1_1,gener_c)
& fact(mensch_1_1,real)
& etype(mensch_1_1,etype_c)
& card(mensch_1_1,card_c)
& sort(mensch_1_1,ent)
& varia(c170,varia_c)
& refer(c170,refer_c)
& quant(c170,quant_c)
& gener(c170,gener_c)
& fact(c170,real)
& etype(c170,etype_c)
& card(c170,card_c)
& sort(c170,ent)
& varia(sich_1_1,varia_c)
& refer(sich_1_1,refer_c)
& quant(sich_1_1,one)
& gener(sich_1_1,gener_c)
& fact(sich_1_1,real)
& etype(sich_1_1,int0)
& card(sich_1_1,int1)
& sort(sich_1_1,o)
& varia(c139,varia_c)
& refer(c139,refer_c)
& quant(c139,one)
& gener(c139,gener_c)
& fact(c139,real)
& etype(c139,int0)
& card(c139,int1)
& sort(c139,o)
& sort(nelson_0,fe)
& 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(c135,varia_c)
& refer(c135,indet)
& quant(c135,one)
& gener(c135,sp)
& fact(c135,real)
& etype(c135,int0)
& card(c135,int1)
& sort(c135,na)
& varia(c134,varia_c)
& refer(c134,indet)
& quant(c134,one)
& gener(c134,sp)
& fact(c134,real)
& etype(c134,int0)
& card(c134,int1)
& sort(c134,na)
& varia(c133,con)
& refer(c133,det)
& quant(c133,one)
& gener(c133,sp)
& fact(c133,real)
& etype(c133,int0)
& card(c133,int1)
& sort(c133,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(winnie_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(frau_1_1,varia_c)
& refer(frau_1_1,refer_c)
& quant(frau_1_1,one)
& gener(frau_1_1,ge)
& fact(frau_1_1,real)
& etype(frau_1_1,int0)
& card(frau_1_1,int1)
& sort(frau_1_1,d)
& varia(c122,varia_c)
& refer(c122,indet)
& quant(c122,one)
& gener(c122,sp)
& fact(c122,real)
& etype(c122,int0)
& card(c122,int1)
& sort(c122,na)
& varia(c121,varia_c)
& refer(c121,indet)
& quant(c121,one)
& gener(c121,sp)
& fact(c121,real)
& etype(c121,int0)
& card(c121,int1)
& sort(c121,na)
& varia(c120,con)
& refer(c120,det)
& quant(c120,one)
& gener(c120,sp)
& fact(c120,real)
& etype(c120,int0)
& card(c120,int1)
& sort(c120,d)
& sub(pr__344sident_1_1,mensch_1_1)
& sub(frau_1_1,mensch_1_1)
& tupl(c170,c120,c139)
& sub(c139,sich_1_1)
& val(c135,mandela_0)
& sub(c135,familiename_1_1)
& val(c134,nelson_0)
& sub(c134,eigenname_1_1)
& sub(c133,pr__344sident_1_1)
& prop(c133,s__374dafrikanisch_1_1)
& attr(c133,c135)
& attr(c133,c134)
& attch(c133,c120)
& val(c122,mandela_0)
& sub(c122,familiename_1_1)
& val(c121,winnie_0)
& sub(c121,eigenname_1_1)
& sub(c120,frau_1_1)
& attr(c120,c122)
& attr(c120,c121) ),
file('/export/starexec/sandbox/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(X1,X2),sK48_skl(X1,X2))
| ~ prop(X2,X0)
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10678,plain,
! [X0,X1,X2] :
( ~ prop(X2,X0)
| attr(sK48_skl(X1,X2),sK47_skl(X1,X2))
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10681,plain,
! [X0,X1,X2] :
( sub(sK47_skl(X1,X2),name_1_1)
| ~ prop(X2,X0)
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10682,plain,
! [X0,X1,X2] :
( ~ prop(X1,X2)
| ~ state_adjective_state_binding(X2,X0)
| val(sK47_skl(X0,X1),X0) ),
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] :
( ~ attr(X2,X0)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| arg2(sK50_skl(X2),X2)
| ~ sub(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( ~ sub(X2,X1)
| ~ attr(X0,X2)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| subs(sK50_skl(X0),hei__337en_1_1) ),
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(X1),X1)
| ~ sub(X2,X0)
| ~ attr(X1,X2)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
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] :
( ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| arg1(sK53_skl(X2,X1,X0),X1)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10709,plain,
! [X0,X1,X2] :
( ~ subs(X2,hei__337en_1_1)
| ~ arg1(X2,X1)
| ~ arg2(X2,X0)
| arg2(sK53_skl(X0,X1,X2),X0) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( ~ arg1(X2,X1)
| ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X0)
| subr(sK53_skl(X0,X1,X2),rprs_0) ),
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(f20826,plain,
attr(c133,c134),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
attr(c133,c135),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
prop(c133,s__374dafrikanisch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
sub(c133,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
sub(c134,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20831,plain,
val(c134,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
sub(c135,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
val(c135,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20989,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(f20990,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ in(X2,X1)
| ~ attr(X1,X0)
| ~ sub(X0,name_1_1)
| ~ val(X0,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f20989]) ).
fof(f20992,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(f20993,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ subr(X3,rprs_0)
| ~ arg1(X3,X2)
| ~ attr(X2,X0)
| ~ attr(X2,X5)
| ~ val(X5,nelson_0)
| ~ sub(X4,X6)
| ~ sub(X5,eigenname_1_1)
| ~ arg2(X3,X4)
| ~ val(X0,mandela_0)
| ~ obj(X1,X2)
| ~ sub(X0,familiename_1_1) ),
inference(component_clause,[status(thm)],[f20992]) ).
fof(f20995,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20989,f20992]) ).
fof(f21411,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ sub(sK47_skl(s__374dafrika_0,X3),name_1_1)
| ~ prop(X3,X0)
| ~ attr(X2,sK47_skl(s__374dafrika_0,X3))
| ~ in(X1,X2)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f10682,f20990]) ).
fof(f23091,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ1_spl
| ~ arg2(X3,X1)
| ~ val(X6,mandela_0)
| ~ obj(X8,X5)
| ~ arg1(X3,X2)
| ~ attr(X5,X6)
| ~ sub(X4,X7)
| ~ sub(X0,eigenname_1_1)
| ~ sub(X6,familiename_1_1)
| ~ subs(X3,hei__337en_1_1)
| ~ attr(X5,X0)
| ~ arg1(sK53_skl(X1,X2,X3),X5)
| ~ arg2(sK53_skl(X1,X2,X3),X4)
| ~ val(X0,nelson_0) ),
inference(resolution,[status(thm)],[f20993,f10713]) ).
fof(f23233,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ1_spl
| ~ subs(X3,hei__337en_1_1)
| ~ arg2(X3,X1)
| ~ arg1(X3,X2)
| ~ arg2(X3,X1)
| ~ val(X5,mandela_0)
| ~ obj(X7,X2)
| ~ arg1(X3,X2)
| ~ attr(X2,X5)
| ~ sub(X4,X6)
| ~ sub(X0,eigenname_1_1)
| ~ sub(X5,familiename_1_1)
| ~ subs(X3,hei__337en_1_1)
| ~ attr(X2,X0)
| ~ arg2(sK53_skl(X1,X2,X3),X4)
| ~ val(X0,nelson_0) ),
inference(resolution,[status(thm)],[f23091,f10708]) ).
fof(f23234,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ1_spl
| ~ attr(X2,X0)
| ~ val(X5,mandela_0)
| ~ arg2(X6,X7)
| ~ attr(X2,X5)
| ~ arg2(sK53_skl(X7,X2,X6),X3)
| ~ val(X0,nelson_0)
| ~ subs(X6,hei__337en_1_1)
| ~ arg1(X6,X2)
| ~ sub(X5,familiename_1_1)
| ~ sub(X3,X4)
| ~ obj(X1,X2)
| ~ sub(X0,eigenname_1_1) ),
inference(duplicate_literals_removal,[status(thm)],[f23233]) ).
fof(f23320,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ subs(X6,hei__337en_1_1)
| ~ arg1(X6,X2)
| ~ arg2(X6,X3)
| ~ attr(X2,X0)
| ~ val(X5,mandela_0)
| ~ arg2(X6,X3)
| ~ attr(X2,X5)
| ~ val(X0,nelson_0)
| ~ subs(X6,hei__337en_1_1)
| ~ arg1(X6,X2)
| ~ sub(X5,familiename_1_1)
| ~ sub(X3,X4)
| ~ obj(X1,X2)
| ~ sub(X0,eigenname_1_1) ),
inference(resolution,[status(thm)],[f23234,f10709]) ).
fof(f23321,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ sub(X3,X6)
| ~ arg1(X2,X0)
| ~ sub(X5,eigenname_1_1)
| ~ attr(X0,X5)
| ~ subs(X2,hei__337en_1_1)
| ~ val(X1,mandela_0)
| ~ val(X5,nelson_0)
| ~ obj(X4,X0)
| ~ sub(X1,familiename_1_1)
| ~ arg2(X2,X3)
| ~ attr(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f23320]) ).
fof(f23326,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sub(X3,X5)
| ~ arg1(X2,X0)
| ~ sub(c134,eigenname_1_1)
| ~ attr(X0,c134)
| ~ subs(X2,hei__337en_1_1)
| ~ val(X1,mandela_0)
| ~ obj(X4,X0)
| ~ sub(X1,familiename_1_1)
| ~ arg2(X2,X3)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f23321,f20831]) ).
fof(f23327,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ112_spl
<=> ( ~ sub(X3,X5)
| ~ arg1(X2,X0)
| ~ attr(X0,c134)
| ~ subs(X2,hei__337en_1_1)
| ~ val(X1,mandela_0)
| ~ obj(X4,X0)
| ~ sub(X1,familiename_1_1)
| ~ arg2(X2,X3)
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f23328,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ112_spl
| ~ attr(X1,X2)
| ~ arg1(X5,X1)
| ~ attr(X1,c134)
| ~ val(X2,mandela_0)
| ~ arg2(X5,X3)
| ~ subs(X5,hei__337en_1_1)
| ~ sub(X3,X4)
| ~ sub(X2,familiename_1_1)
| ~ obj(X0,X1) ),
inference(component_clause,[status(thm)],[f23327]) ).
fof(f23330,definition,
( sQ113_spl
<=> sub(c134,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f23332,plain,
( sQ113_spl
| ~ sub(c134,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f23330]) ).
fof(f23333,plain,
( ~ sQ1_spl
| ~ sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f23326,f23327,f23330,f20992]) ).
fof(f23334,plain,
( sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23332,f20830]) ).
fof(f23335,plain,
sQ113_spl,
inference(contradiction_clause,[status(thm)],[f23334]) ).
fof(f23473,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ112_spl
| ~ attr(c133,X1)
| ~ arg1(X4,c133)
| ~ val(X1,mandela_0)
| ~ arg2(X4,X2)
| ~ subs(X4,hei__337en_1_1)
| ~ sub(X2,X3)
| ~ sub(X1,familiename_1_1)
| ~ obj(X0,c133) ),
inference(resolution,[status(thm)],[f23328,f20826]) ).
fof(f23474,definition,
! [X0] :
( sQ132_spl
<=> ~ obj(X0,c133) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f23475,plain,
! [X0] :
( ~ sQ132_spl
| ~ obj(X0,c133) ),
inference(component_clause,[status(thm)],[f23474]) ).
fof(f23477,definition,
! [X1] :
( sQ133_spl
<=> ( ~ attr(c133,X1)
| ~ val(X1,mandela_0)
| ~ sub(X1,familiename_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f23478,plain,
! [X0] :
( ~ sQ133_spl
| ~ attr(c133,X0)
| ~ val(X0,mandela_0)
| ~ sub(X0,familiename_1_1) ),
inference(component_clause,[status(thm)],[f23477]) ).
fof(f23480,definition,
! [X2,X3,X4] :
( sQ134_spl
<=> ( ~ arg1(X4,c133)
| ~ arg2(X4,X2)
| ~ subs(X4,hei__337en_1_1)
| ~ sub(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f23481,plain,
! [X0,X1,X2] :
( ~ sQ134_spl
| ~ arg2(X0,X1)
| ~ arg1(X0,c133)
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1) ),
inference(component_clause,[status(thm)],[f23480]) ).
fof(f23483,plain,
( ~ sQ112_spl
| sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f23473,f23474,f23477,f23480,f23327]) ).
fof(f23740,plain,
! [X0,X1] :
( ~ sQ132_spl
| ~ attr(c133,X1)
| ~ sub(X1,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f23475,f10702]) ).
fof(f23788,plain,
! [X0,X1,X2,X3] :
( ~ sQ134_spl
| ~ attr(X0,X2)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X2,X3)
| ~ arg1(sK50_skl(X0),c133)
| ~ sub(X0,X1)
| ~ subs(sK50_skl(X0),hei__337en_1_1) ),
inference(resolution,[status(thm)],[f23481,f10696]) ).
fof(f23798,plain,
! [X0,X1,X2,X3] :
( ~ sQ134_spl
| ~ sub(X1,X3)
| ~ attr(X1,X2)
| ~ sub(X2,X0)
| ~ arg1(sK50_skl(X1),c133)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f23788,f10697]) ).
fof(f23800,plain,
( ~ sQ133_spl
| ~ val(c135,mandela_0)
| ~ sub(c135,familiename_1_1) ),
inference(resolution,[status(thm)],[f23478,f20827]) ).
fof(f23802,definition,
( sQ145_spl
<=> sub(c135,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f23804,plain,
( sQ145_spl
| ~ sub(c135,familiename_1_1) ),
inference(component_clause,[status(thm)],[f23802]) ).
fof(f23805,definition,
( sQ146_spl
<=> val(c135,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f23807,plain,
( sQ146_spl
| ~ val(c135,mandela_0) ),
inference(component_clause,[status(thm)],[f23805]) ).
fof(f23808,plain,
( ~ sQ133_spl
| ~ sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f23800,f23802,f23805,f23477]) ).
fof(f23816,plain,
( sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23804,f20832]) ).
fof(f23817,plain,
sQ145_spl,
inference(contradiction_clause,[status(thm)],[f23816]) ).
fof(f23818,plain,
( sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23807,f20833]) ).
fof(f23819,plain,
sQ146_spl,
inference(contradiction_clause,[status(thm)],[f23818]) ).
fof(f24171,plain,
! [X0] :
( ~ sQ132_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c133,X0) ),
inference(resolution,[status(thm)],[f23740,f10191]) ).
fof(f24172,plain,
( ~ sQ132_spl
| ~ sub(c134,eigenname_1_1) ),
inference(resolution,[status(thm)],[f24171,f20826]) ).
fof(f24175,plain,
( ~ sQ132_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f24172,f23330,f23474]) ).
fof(f24176,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ134_spl
| ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c133,X3)
| ~ sub(c133,X2)
| ~ attr(c133,X1)
| ~ sub(X1,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolution,[status(thm)],[f23798,f10695]) ).
fof(f24177,definition,
! [X0,X1] :
( sQ163_spl
<=> ( ~ attr(c133,X1)
| ~ sub(X1,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f24178,plain,
! [X0,X1] :
( ~ sQ163_spl
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c133,X0)
| ~ sub(X0,X1) ),
inference(component_clause,[status(thm)],[f24177]) ).
fof(f24180,definition,
! [X2] :
( sQ164_spl
<=> ~ sub(c133,X2) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f24181,plain,
! [X0] :
( ~ sQ164_spl
| ~ sub(c133,X0) ),
inference(component_clause,[status(thm)],[f24180]) ).
fof(f24183,plain,
( ~ sQ134_spl
| sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f24176,f24177,f24180,f23480]) ).
fof(f24184,plain,
( ~ sQ164_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20829,f24181]) ).
fof(f24198,plain,
~ sQ164_spl,
inference(contradiction_clause,[status(thm)],[f24184]) ).
fof(f24200,plain,
! [X0] :
( ~ sQ163_spl
| ~ attr(c133,X0)
| ~ sub(X0,eigenname_1_1) ),
inference(resolution,[status(thm)],[f24178,f10191]) ).
fof(f24201,plain,
( ~ sQ163_spl
| ~ sub(c134,eigenname_1_1) ),
inference(resolution,[status(thm)],[f24200,f20826]) ).
fof(f24204,plain,
( ~ sQ163_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f24201,f23330,f24177]) ).
fof(f27476,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ prop(X1,X3)
| ~ state_adjective_state_binding(X3,s__374dafrika_0)
| ~ in(X2,X0)
| ~ attr(X0,sK47_skl(s__374dafrika_0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f21411,f10681]) ).
fof(f27478,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ in(X2,X0)
| ~ prop(X1,s__374dafrikanisch_1_1)
| ~ attr(X0,sK47_skl(s__374dafrika_0,X1)) ),
inference(resolution,[status(thm)],[f27476,f19788]) ).
fof(f27479,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ in(X2,sK48_skl(s__374dafrika_0,X1))
| ~ prop(X1,s__374dafrikanisch_1_1)
| ~ prop(X1,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f27478,f10678]) ).
fof(f27536,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ in(X1,sK48_skl(s__374dafrika_0,X0))
| ~ prop(X0,s__374dafrikanisch_1_1)
| ~ prop(X0,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f27479,f19788]) ).
fof(f27537,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ prop(X1,s__374dafrikanisch_1_1)
| ~ in(X0,sK48_skl(s__374dafrika_0,X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f27536]) ).
fof(f27538,plain,
! [X0] :
( ~ sQ0_spl
| ~ in(X0,sK48_skl(s__374dafrika_0,c133)) ),
inference(resolution,[status(thm)],[f27537,f20828]) ).
fof(f27545,plain,
! [X0] :
( ~ sQ0_spl
| ~ prop(c133,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f27538,f10677]) ).
fof(f27677,plain,
( ~ sQ0_spl
| ~ prop(c133,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f27545,f19788]) ).
fof(f27678,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f27677,f20828]) ).
fof(f27679,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f27678]) ).
fof(f27680,plain,
$false,
inference(sat_refutation,[status(thm)],[f20995,f23333,f23335,f23483,f23808,f23817,f23819,f24175,f24183,f24198,f24204,f27679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+45 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/10.40 % Computer : n016.cluster.edu
% 0.13/10.40 % Model : x86_64 x86_64
% 0.13/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.40 % Memory : 8046.5625MB
% 0.13/10.40 % OS : Linux 6.8.0-71-generic
% 0.13/10.40 % CPULimit : 300
% 0.13/10.40 % WCLimit : 300
% 0.17/10.40 % DateTime : Mon Sep 21 15:14:34 UTC 2026
% 0.17/10.40 % CPUTime :
% 0.18/10.52 % Drodi V4.1.1
% 100.38/23.32 % Refutation found
% 100.38/23.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 100.38/23.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.21/23.43 % Elapsed time: 13.015134 seconds
% 5.21/23.43 % CPU time: 101.572587 seconds
% 5.21/23.43 % Total memory used: 617.448 MB
% 5.21/23.43 % Net memory used: 587.147 MB
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