%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+21 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:14:10 PM UTC 2026
% Result : Theorem 73.89s 9.86s
% Output : CNFRefutation 73.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 109 ( 18 unt; 11 def)
% Number of atoms : 635 ( 0 equ)
% Maximal formula atoms : 90 ( 5 avg)
% Number of connectives : 890 ( 364 ~; 323 |; 188 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 90 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 39 usr; 12 prp; 0-2 aty)
% Number of functors : 49 ( 49 usr; 41 con; 0-3 aty)
% Number of variables : 291 ( 250 !; 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,
( sort(ein_f__374hrer_ist_ein_hirte_0,fe)
& 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)
& 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)
& varia(autobiographie_1_1,varia_c)
& refer(autobiographie_1_1,refer_c)
& quant(autobiographie_1_1,one)
& gener(autobiographie_1_1,ge)
& fact(autobiographie_1_1,real)
& etype(autobiographie_1_1,int0)
& card(autobiographie_1_1,int1)
& sort(autobiographie_1_1,io)
& sort(autobiographie_1_1,d)
& varia(c9,varia_c)
& refer(c9,refer_c)
& quant(c9,one)
& gener(c9,gener_c)
& fact(c9,real)
& etype(c9,int0)
& card(c9,int1)
& sort(c9,o)
& varia(c124,con)
& refer(c124,det)
& quant(c124,mult)
& gener(c124,sp)
& fact(c124,real)
& etype(c124,int1)
& card(c124,cons(x_constant,cons(int1,nil)))
& sort(c124,io)
& sort(c124,d)
& name(c9,ein_f__374hrer_ist_ein_hirte_0)
& 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,c124)
& pred(c124,autobiographie_1_1)
& pars(c124,c9) ),
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(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(X1,X2)
| ~ state_adjective_state_binding(X2,X0)
| attr(sK48_skl(X0,X1),sK47_skl(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] :
( 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] :
( ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1)
| ~ sub(X1,X2)
| arg1(sK50_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10696,plain,
! [X0,X1,X2] :
( ~ attr(X1,X2)
| ~ sub(X2,X0)
| arg2(sK50_skl(X1),X1)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( subs(sK50_skl(X2),hei__337en_1_1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0)
| ~ sub(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] :
( ~ sub(X2,X0)
| obj(sK51_skl(X1),X1)
| ~ 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] :
( ~ arg1(X0,X2)
| ~ subs(X0,hei__337en_1_1)
| arg1(sK53_skl(X1,X2,X0),X2)
| ~ arg2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10709,plain,
! [X0,X1,X2] :
( ~ arg2(X2,X0)
| ~ arg1(X2,X1)
| ~ subs(X2,hei__337en_1_1)
| arg2(sK53_skl(X0,X1,X2),X0) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( ~ subs(X2,hei__337en_1_1)
| ~ arg1(X2,X1)
| ~ 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(f20821,plain,
attr(c133,c134),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
attr(c133,c135),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
prop(c133,s__374dafrikanisch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
sub(c133,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
sub(c134,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
val(c134,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
sub(c135,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
val(c135,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20943,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(f20944,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ val(X1,s__374dafrika_0)
| ~ in(X2,X0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20943]) ).
fof(f20946,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(f20947,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ attr(X2,X3)
| ~ arg1(X4,X2)
| ~ arg2(X4,X5)
| ~ sub(X5,X6)
| ~ attr(X2,X0)
| ~ sub(X0,eigenname_1_1)
| ~ val(X3,mandela_0)
| ~ subr(X4,rprs_0)
| ~ sub(X3,familiename_1_1)
| ~ obj(X1,X2)
| ~ val(X0,nelson_0) ),
inference(component_clause,[status(thm)],[f20946]) ).
fof(f20949,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20943,f20946]) ).
fof(f21582,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ in(X3,X2)
| ~ attr(X2,sK47_skl(s__374dafrika_0,X0))
| ~ state_adjective_state_binding(X1,s__374dafrika_0)
| ~ prop(X0,X1)
| ~ sub(sK47_skl(s__374dafrika_0,X0),name_1_1) ),
inference(resolution,[status(thm)],[f10682,f20944]) ).
fof(f22589,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(f23377,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ1_spl
| ~ obj(X8,X6)
| ~ arg1(X0,X2)
| ~ attr(X6,X4)
| ~ arg2(X0,X1)
| ~ arg1(sK53_skl(X1,X2,X0),X6)
| ~ sub(X3,X7)
| ~ val(X5,nelson_0)
| ~ attr(X6,X5)
| ~ sub(X5,eigenname_1_1)
| ~ val(X4,mandela_0)
| ~ sub(X4,familiename_1_1)
| ~ arg2(sK53_skl(X1,X2,X0),X3)
| ~ subs(X0,hei__337en_1_1) ),
inference(resolution,[status(thm)],[f20947,f10713]) ).
fof(f23458,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ1_spl
| ~ arg1(X0,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ obj(X7,X2)
| ~ arg1(X0,X2)
| ~ attr(X2,X4)
| ~ arg2(X0,X1)
| ~ sub(X3,X6)
| ~ val(X5,nelson_0)
| ~ attr(X2,X5)
| ~ sub(X5,eigenname_1_1)
| ~ val(X4,mandela_0)
| ~ sub(X4,familiename_1_1)
| ~ arg2(sK53_skl(X1,X2,X0),X3)
| ~ subs(X0,hei__337en_1_1) ),
inference(resolution,[status(thm)],[f23377,f10708]) ).
fof(f23459,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ1_spl
| ~ sub(X6,X7)
| ~ sub(X4,familiename_1_1)
| ~ attr(X1,X4)
| ~ sub(X2,eigenname_1_1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(sK53_skl(X3,X1,X0),X6)
| ~ val(X2,nelson_0)
| ~ obj(X5,X1)
| ~ val(X4,mandela_0)
| ~ arg2(X0,X3)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f23458]) ).
fof(f23528,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ arg2(X0,X3)
| ~ arg1(X0,X1)
| ~ subs(X0,hei__337en_1_1)
| ~ sub(X3,X6)
| ~ sub(X4,familiename_1_1)
| ~ attr(X1,X4)
| ~ sub(X2,eigenname_1_1)
| ~ subs(X0,hei__337en_1_1)
| ~ val(X2,nelson_0)
| ~ obj(X5,X1)
| ~ val(X4,mandela_0)
| ~ arg2(X0,X3)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f23459,f10709]) ).
fof(f23529,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ sub(X2,eigenname_1_1)
| ~ obj(X6,X3)
| ~ sub(X1,X5)
| ~ sub(X4,familiename_1_1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X3)
| ~ val(X4,mandela_0)
| ~ attr(X3,X4)
| ~ attr(X3,X2)
| ~ val(X2,nelson_0)
| ~ arg2(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f23528]) ).
fof(f23534,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sub(c134,eigenname_1_1)
| ~ obj(X5,X2)
| ~ sub(X1,X4)
| ~ sub(X3,familiename_1_1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X2)
| ~ val(X3,mandela_0)
| ~ attr(X2,X3)
| ~ attr(X2,c134)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f23529,f20826]) ).
fof(f23535,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ106_spl
<=> ( ~ obj(X5,X2)
| ~ sub(X1,X4)
| ~ sub(X3,familiename_1_1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X2)
| ~ val(X3,mandela_0)
| ~ attr(X2,X3)
| ~ attr(X2,c134)
| ~ arg2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f23536,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ106_spl
| ~ obj(X5,X2)
| ~ val(X3,mandela_0)
| ~ attr(X2,c134)
| ~ sub(X1,X4)
| ~ attr(X2,X3)
| ~ subs(X0,hei__337en_1_1)
| ~ sub(X3,familiename_1_1)
| ~ arg1(X0,X2)
| ~ arg2(X0,X1) ),
inference(component_clause,[status(thm)],[f23535]) ).
fof(f23538,definition,
( sQ107_spl
<=> sub(c134,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f23540,plain,
( sQ107_spl
| ~ sub(c134,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f23538]) ).
fof(f23541,plain,
( ~ sQ1_spl
| ~ sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f23534,f23535,f23538,f20946]) ).
fof(f23542,plain,
( sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23540,f20825]) ).
fof(f23543,plain,
sQ107_spl,
inference(contradiction_clause,[status(thm)],[f23542]) ).
fof(f23628,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ106_spl
| ~ obj(X4,c133)
| ~ val(X2,mandela_0)
| ~ sub(X1,X3)
| ~ attr(c133,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ sub(X2,familiename_1_1)
| ~ arg1(X0,c133)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f23536,f20821]) ).
fof(f23629,definition,
! [X0,X1,X3] :
( sQ118_spl
<=> ( ~ sub(X1,X3)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,c133)
| ~ arg2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f23630,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| ~ arg1(X0,c133)
| ~ arg2(X0,X1)
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1) ),
inference(component_clause,[status(thm)],[f23629]) ).
fof(f23632,definition,
! [X2] :
( sQ119_spl
<=> ( ~ val(X2,mandela_0)
| ~ attr(c133,X2)
| ~ sub(X2,familiename_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f23633,plain,
! [X0] :
( ~ sQ119_spl
| ~ sub(X0,familiename_1_1)
| ~ val(X0,mandela_0)
| ~ attr(c133,X0) ),
inference(component_clause,[status(thm)],[f23632]) ).
fof(f23635,definition,
! [X4] :
( sQ120_spl
<=> ~ obj(X4,c133) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f23636,plain,
! [X0] :
( ~ sQ120_spl
| ~ obj(X0,c133) ),
inference(component_clause,[status(thm)],[f23635]) ).
fof(f23638,plain,
( ~ sQ106_spl
| sQ120_spl
| sQ119_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f23628,f23629,f23632,f23635,f23535]) ).
fof(f23950,plain,
! [X0,X1] :
( ~ sQ120_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)],[f23636,f10702]) ).
fof(f24027,definition,
! [X2] :
( sQ135_spl
<=> ~ sub(c133,X2) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f24028,plain,
! [X0] :
( ~ sQ135_spl
| ~ sub(c133,X0) ),
inference(component_clause,[status(thm)],[f24027]) ).
fof(f24040,plain,
( ~ sQ135_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20824,f24028]) ).
fof(f24064,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f24040]) ).
fof(f24090,plain,
! [X0,X1,X2,X3] :
( ~ sQ118_spl
| ~ attr(X0,X3)
| ~ sub(X3,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ arg1(sK50_skl(X0),c133)
| ~ sub(X0,X1)
| ~ subs(sK50_skl(X0),hei__337en_1_1) ),
inference(resolution,[status(thm)],[f23630,f10696]) ).
fof(f24100,plain,
! [X0,X1,X2,X3] :
( ~ sQ118_spl
| ~ sub(X1,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X0,X2)
| ~ arg1(sK50_skl(X0),c133)
| ~ attr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f24090,f10697]) ).
fof(f24103,plain,
( ~ sQ119_spl
| ~ sub(c135,familiename_1_1)
| ~ attr(c133,c135) ),
inference(resolution,[status(thm)],[f23633,f20828]) ).
fof(f24104,definition,
( sQ148_spl
<=> attr(c133,c135) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f24106,plain,
( sQ148_spl
| ~ attr(c133,c135) ),
inference(component_clause,[status(thm)],[f24104]) ).
fof(f24107,definition,
( sQ149_spl
<=> sub(c135,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f24109,plain,
( sQ149_spl
| ~ sub(c135,familiename_1_1) ),
inference(component_clause,[status(thm)],[f24107]) ).
fof(f24110,plain,
( ~ sQ119_spl
| ~ sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f24103,f24104,f24107,f23632]) ).
fof(f24111,plain,
( sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24109,f20827]) ).
fof(f24112,plain,
sQ149_spl,
inference(contradiction_clause,[status(thm)],[f24111]) ).
fof(f24113,plain,
( sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24106,f20822]) ).
fof(f24114,plain,
sQ148_spl,
inference(contradiction_clause,[status(thm)],[f24113]) ).
fof(f24464,plain,
! [X0] :
( ~ sQ120_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c133,X0) ),
inference(resolution,[status(thm)],[f23950,f10191]) ).
fof(f24465,plain,
( ~ sQ120_spl
| ~ sub(c134,eigenname_1_1) ),
inference(resolution,[status(thm)],[f24464,f20821]) ).
fof(f24468,plain,
( ~ sQ120_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f24465,f23538,f23635]) ).
fof(f24469,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ118_spl
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c133,X3)
| ~ sub(X3,X4)
| ~ sub(X0,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(c133,X1)
| ~ attr(c133,X0) ),
inference(resolution,[status(thm)],[f24100,f10695]) ).
fof(f24470,definition,
! [X0,X2] :
( sQ155_spl
<=> ( ~ sub(X0,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c133,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f24471,plain,
! [X0,X1] :
( ~ sQ155_spl
| ~ sub(X1,X0)
| ~ attr(c133,X1)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(component_clause,[status(thm)],[f24470]) ).
fof(f24473,plain,
( ~ sQ118_spl
| sQ135_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f24469,f24470,f24027,f23629]) ).
fof(f24475,plain,
! [X0] :
( ~ sQ155_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c133,X0) ),
inference(resolution,[status(thm)],[f24471,f10191]) ).
fof(f24476,plain,
( ~ sQ155_spl
| ~ sub(c134,eigenname_1_1) ),
inference(resolution,[status(thm)],[f24475,f20821]) ).
fof(f24479,plain,
( ~ sQ155_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f24476,f23538,f24470]) ).
fof(f26551,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ in(X3,X2)
| ~ attr(X2,sK47_skl(s__374dafrika_0,X1))
| ~ prop(X1,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(backward_subsumption_resolution,[status(thm)],[f21582,f10681]) ).
fof(f26568,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ prop(X1,s__374dafrikanisch_1_1)
| ~ in(X2,X0)
| ~ attr(X0,sK47_skl(s__374dafrika_0,X1)) ),
inference(resolution,[status(thm)],[f26551,f19788]) ).
fof(f26569,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ state_adjective_state_binding(X1,s__374dafrika_0)
| ~ prop(X0,s__374dafrikanisch_1_1)
| ~ in(X2,sK48_skl(s__374dafrika_0,X0))
| ~ prop(X0,X1) ),
inference(resolution,[status(thm)],[f26568,f10678]) ).
fof(f26571,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ prop(X0,s__374dafrikanisch_1_1)
| ~ in(X1,sK48_skl(s__374dafrika_0,X0))
| ~ prop(X0,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f26569,f19788]) ).
fof(f26572,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)],[f26571]) ).
fof(f26573,plain,
! [X0] :
( ~ sQ0_spl
| ~ prop(X0,s__374dafrikanisch_1_1) ),
inference(backward_subsumption_resolution,[status(thm)],[f22589,f26572]) ).
fof(f26576,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20823,f26573]) ).
fof(f26579,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f26576]) ).
fof(f26580,plain,
$false,
inference(sat_refutation,[status(thm)],[f20949,f23541,f23543,f23638,f24064,f24110,f24112,f24114,f24468,f24473,f24479,f26579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+21 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:07:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.49 % Drodi V4.1.1
% 73.89/9.86 % Refutation found
% 73.89/9.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 73.89/9.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.69/9.97 % Elapsed time: 9.605968 seconds
% 2.69/9.97 % CPU time: 74.656684 seconds
% 2.69/9.97 % Total memory used: 627.769 MB
% 2.69/9.97 % Net memory used: 595.537 MB
%------------------------------------------------------------------------------