%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+37 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:14:12 PM UTC 2026
% Result : Theorem 247.34s 31.69s
% Output : CNFRefutation 240.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 116 ( 21 unt; 12 def)
% Number of atoms : 638 ( 0 equ)
% Maximal formula atoms : 154 ( 5 avg)
% Number of connectives : 815 ( 293 ~; 260 |; 245 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 154 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 42 ( 41 usr; 13 prp; 0-3 aty)
% Number of functors : 64 ( 64 usr; 56 con; 0-3 aty)
% Number of variables : 241 ( 199 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] :
( fact(X0,X1)
=> has_fact_leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [X0,X1] :
( ( loc(X1,X0)
& has_fact_leq(X1,real) )
=> ? [X2] :
( subs(X2,geben_1_1)
& obj(X2,X1)
& loc(X2,X0) ) ),
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(f162,axiom,
! [X0,X1,X2] :
( ( subr(X0,sub_0)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [X0,X1] :
( sub(X0,X1)
=> ? [X2] :
( subr(X2,sub_0)
& arg2(X2,X1)
& arg1(X2,X0) ) ),
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(h__366hepunkt_1_1,varia_c)
& refer(h__366hepunkt_1_1,refer_c)
& quant(h__366hepunkt_1_1,one)
& gener(h__366hepunkt_1_1,ge)
& fact(h__366hepunkt_1_1,real)
& etype(h__366hepunkt_1_1,int0)
& card(h__366hepunkt_1_1,int1)
& sort(h__366hepunkt_1_1,io)
& card(ein_4_1,int1)
& sort(ein_4_1,nu)
& gener(equ_0,gener_c)
& fact(equ_0,real)
& sort(equ_0,st)
& gener(c7,sp)
& fact(c7,real)
& sort(c7,st)
& gener(einladen_2_1,ge)
& fact(einladen_2_1,real)
& sort(einladen_2_1,da)
& gener(c630,sp)
& fact(c630,real)
& sort(c630,da)
& varia(ansprache_1_1,varia_c)
& refer(ansprache_1_1,refer_c)
& quant(ansprache_1_1,one)
& gener(ansprache_1_1,ge)
& fact(ansprache_1_1,real)
& etype(ansprache_1_1,int0)
& card(ansprache_1_1,int1)
& sort(ansprache_1_1,io)
& sort(ansprache_1_1,ad)
& varia(c627,varia_c)
& refer(c627,indet)
& quant(c627,one)
& gener(c627,sp)
& fact(c627,real)
& etype(c627,int0)
& card(c627,int1)
& sort(c627,io)
& sort(c627,ad)
& 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)
& sort(s__374dafrikanisch_1_1,nq)
& varia(c600,varia_c)
& refer(c600,indet)
& quant(c600,one)
& gener(c600,sp)
& fact(c600,real)
& etype(c600,int0)
& card(c600,int1)
& sort(c600,na)
& varia(c599,varia_c)
& refer(c599,indet)
& quant(c599,one)
& gener(c599,sp)
& fact(c599,real)
& etype(c599,int0)
& card(c599,int1)
& sort(c599,na)
& varia(c598,con)
& refer(c598,det)
& quant(c598,one)
& gener(c598,sp)
& fact(c598,real)
& etype(c598,int0)
& card(c598,int1)
& sort(c598,d)
& varia(auftritt_1_1,varia_c)
& refer(auftritt_1_1,refer_c)
& quant(auftritt_1_1,one)
& gener(auftritt_1_1,ge)
& fact(auftritt_1_1,real)
& etype(auftritt_1_1,int0)
& card(auftritt_1_1,int1)
& sort(auftritt_1_1,ad)
& varia(einh__366hepunkt_1_1,varia_c)
& refer(einh__366hepunkt_1_1,refer_c)
& quant(einh__366hepunkt_1_1,one)
& gener(einh__366hepunkt_1_1,ge)
& fact(einh__366hepunkt_1_1,real)
& etype(einh__366hepunkt_1_1,int0)
& card(einh__366hepunkt_1_1,int1)
& sort(einh__366hepunkt_1_1,io)
& varia(c588,con)
& refer(c588,det)
& quant(c588,one)
& gener(c588,sp)
& fact(c588,real)
& etype(c588,int0)
& card(c588,int1)
& sort(c588,ad)
& varia(c3,varia_c)
& refer(c3,refer_c)
& quant(c3,one)
& gener(c3,gener_c)
& fact(c3,real)
& etype(c3,int0)
& card(c3,int1)
& sort(c3,io)
& 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(fr__374h_1_1,nq)
& varia(c1,varia_c)
& refer(c1,refer_c)
& quant(c1,quant_c)
& gener(c1,gener_c)
& fact(c1,fact_c)
& etype(c1,etype_c)
& card(c1,card_c)
& sort(c1,ent)
& sub(einh__366hepunkt_1_1,h__366hepunkt_1_1)
& assoc(einh__366hepunkt_1_1,ein_4_1)
& subr(c7,equ_0)
& arg2(c7,c588)
& arg1(c7,c3)
& subs(c630,einladen_2_1)
& purp(c630,c627)
& benf(c630,c598)
& sub(c627,ansprache_1_1)
& val(c600,mandela_0)
& sub(c600,familiename_1_1)
& val(c599,nelson_0)
& sub(c599,eigenname_1_1)
& sub(c598,c1)
& prop(c598,s__374dafrikanisch_1_1)
& attr(c598,c600)
& attr(c598,c599)
& attch(c598,c588)
& subs(c588,auftritt_1_1)
& sub(c3,einh__366hepunkt_1_1)
& equ(c3,c588)
& pmod(c1,fr__374h_1_1,pr__344sident_1_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10209,plain,
! [X0,X1] :
( has_fact_leq(X0,X1)
| ~ fact(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f10210,plain,
! [X0,X1] :
( has_fact_leq(X0,X1)
| ~ fact(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10209]) ).
fof(f10363,plain,
! [X0,X1] :
( ? [X2] :
( subs(X2,geben_1_1)
& obj(X2,X1)
& loc(X2,X0) )
| ~ loc(X1,X0)
| ~ has_fact_leq(X1,real) ),
inference(pre_NNF_transformation,[status(thm)],[f95]) ).
fof(f10364,plain,
! [X0,X1] :
( ( subs(sK2_skl(X1,X0),geben_1_1)
& obj(sK2_skl(X1,X0),X1)
& loc(sK2_skl(X1,X0),X0) )
| ~ loc(X1,X0)
| ~ has_fact_leq(X1,real) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X2,sK2_skl(X1,X0))],[f10363]) ).
fof(f10366,plain,
! [X0,X1] :
( obj(sK2_skl(X0,X1),X0)
| ~ loc(X0,X1)
| ~ has_fact_leq(X0,real) ),
inference(cnf_transformation,[status(thm)],[f10364]) ).
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] :
( ~ prop(X2,X0)
| in(sK49_skl(X1,X2),sK48_skl(X1,X2))
| ~ 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(f10679,plain,
! [X0,X1,X2] :
( loc(X2,sK49_skl(X1,X2))
| ~ prop(X2,X0)
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10681,plain,
! [X0,X1,X2] :
( ~ prop(X2,X0)
| sub(sK47_skl(X1,X2),name_1_1)
| ~ state_adjective_state_binding(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10682,plain,
! [X0,X1,X2] :
( ~ state_adjective_state_binding(X1,X2)
| val(sK47_skl(X2,X0),X2)
| ~ prop(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10676]) ).
fof(f10715,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) )
| ~ subr(X0,sub_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f162]) ).
fof(f10716,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,bezeichnen_1_1)
& ? [X4] :
( subr(X4,rprs_0)
& ? [X5] :
( sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) ) ) )
| ~ subr(X0,sub_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(miniscoping,[status(thm)],[f10715]) ).
fof(f10717,plain,
! [X0,X1,X2] :
( ( subs(sK54_skl(X2,X1,X0),bezeichnen_1_1)
& subr(sK55_skl(X2,X1,X0),rprs_0)
& sub(sK56_skl(X2,X1,X0),X2)
& obj(sK54_skl(X2,X1,X0),X1)
& mcont(sK54_skl(X2,X1,X0),sK55_skl(X2,X1,X0))
& hsit(X0,sK54_skl(X2,X1,X0))
& arg2(sK55_skl(X2,X1,X0),sK56_skl(X2,X1,X0))
& arg1(sK55_skl(X2,X1,X0),X1) )
| ~ subr(X0,sub_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54_skl,sK55_skl,sK56_skl]),skolemize(X3,sK54_skl(X2,X1,X0)),skolemize(X4,sK55_skl(X2,X1,X0)),skolemize(X5,sK56_skl(X2,X1,X0))],[f10716]) ).
fof(f10718,plain,
! [X0,X1,X2] :
( ~ arg2(X0,X2)
| arg1(sK55_skl(X2,X1,X0),X1)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0) ),
inference(cnf_transformation,[status(thm)],[f10717]) ).
fof(f10719,plain,
! [X0,X1,X2] :
( arg2(sK55_skl(X2,X1,X0),sK56_skl(X2,X1,X0))
| ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0) ),
inference(cnf_transformation,[status(thm)],[f10717]) ).
fof(f10723,plain,
! [X0,X1,X2] :
( ~ arg1(X0,X2)
| sub(sK56_skl(X1,X2,X0),X1)
| ~ arg2(X0,X1)
| ~ subr(X0,sub_0) ),
inference(cnf_transformation,[status(thm)],[f10717]) ).
fof(f10724,plain,
! [X0,X1,X2] :
( subr(sK55_skl(X1,X2,X0),rprs_0)
| ~ subr(X0,sub_0)
| ~ arg1(X0,X2)
| ~ arg2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10717]) ).
fof(f10726,plain,
! [X0,X1] :
( ? [X2] :
( subr(X2,sub_0)
& arg2(X2,X1)
& arg1(X2,X0) )
| ~ sub(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f163]) ).
fof(f10727,plain,
! [X0,X1] :
( ( subr(sK57_skl(X1,X0),sub_0)
& arg2(sK57_skl(X1,X0),X1)
& arg1(sK57_skl(X1,X0),X0) )
| ~ sub(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57_skl]),skolemize(X2,sK57_skl(X1,X0))],[f10726]) ).
fof(f10728,plain,
! [X0,X1] :
( arg1(sK57_skl(X1,X0),X0)
| ~ sub(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10727]) ).
fof(f10729,plain,
! [X0,X1] :
( arg2(sK57_skl(X1,X0),X1)
| ~ sub(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10727]) ).
fof(f10730,plain,
! [X0,X1] :
( ~ sub(X1,X0)
| subr(sK57_skl(X0,X1),sub_0) ),
inference(cnf_transformation,[status(thm)],[f10727]) ).
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(f20823,plain,
attr(c598,c599),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
attr(c598,c600),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
prop(c598,s__374dafrikanisch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
sub(c598,c1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
sub(c599,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
val(c599,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
sub(c600,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
val(c600,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20892,plain,
fact(c598,real),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21007,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(f21008,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ sub(X2,name_1_1)
| ~ attr(X1,X2)
| ~ val(X2,s__374dafrika_0)
| ~ in(X0,X1) ),
inference(component_clause,[status(thm)],[f21007]) ).
fof(f21010,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(f21011,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ obj(X6,X3)
| ~ attr(X3,X0)
| ~ arg2(X2,X4)
| ~ arg1(X2,X3)
| ~ sub(X4,X5)
| ~ attr(X3,X1)
| ~ subr(X2,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X1,mandela_0)
| ~ sub(X0,eigenname_1_1)
| ~ val(X0,nelson_0) ),
inference(component_clause,[status(thm)],[f21010]) ).
fof(f21013,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21007,f21010]) ).
fof(f21124,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ sub(X6,familiename_1_1)
| ~ attr(X3,X2)
| ~ attr(X3,X6)
| ~ val(X6,mandela_0)
| ~ has_fact_leq(X3,real)
| ~ sub(X1,X5)
| ~ val(X2,nelson_0)
| ~ subr(X0,rprs_0)
| ~ loc(X3,X4)
| ~ arg1(X0,X3)
| ~ sub(X2,eigenname_1_1)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f21011,f10366]) ).
fof(f21131,definition,
! [X0] :
( sQ7_spl
<=> ( ~ attr(c598,X0)
| ~ sub(X0,familiename_1_1)
| ~ val(X0,mandela_0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21132,plain,
! [X0] :
( ~ sQ7_spl
| ~ attr(c598,X0)
| ~ val(X0,mandela_0)
| ~ sub(X0,familiename_1_1) ),
inference(component_clause,[status(thm)],[f21131]) ).
fof(f21134,definition,
! [X1,X2,X3] :
( sQ8_spl
<=> ( ~ arg2(X1,X2)
| ~ arg1(X1,c598)
| ~ sub(X2,X3)
| ~ subr(X1,rprs_0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21135,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ arg1(X0,c598)
| ~ sub(X1,X2)
| ~ subr(X0,rprs_0)
| ~ arg2(X0,X1) ),
inference(component_clause,[status(thm)],[f21134]) ).
fof(f21144,definition,
( sQ11_spl
<=> val(c600,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f21146,plain,
( sQ11_spl
| ~ val(c600,mandela_0) ),
inference(component_clause,[status(thm)],[f21144]) ).
fof(f21147,definition,
( sQ12_spl
<=> sub(c600,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21149,plain,
( sQ12_spl
| ~ sub(c600,familiename_1_1) ),
inference(component_clause,[status(thm)],[f21147]) ).
fof(f21152,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21146,f20830]) ).
fof(f21153,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f21152]) ).
fof(f21155,definition,
( sQ13_spl
<=> has_fact_leq(c598,real) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f21157,plain,
( sQ13_spl
| ~ has_fact_leq(c598,real) ),
inference(component_clause,[status(thm)],[f21155]) ).
fof(f21158,definition,
! [X0] :
( sQ14_spl
<=> ~ loc(c598,X0) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f21159,plain,
! [X0] :
( ~ sQ14_spl
| ~ loc(c598,X0) ),
inference(component_clause,[status(thm)],[f21158]) ).
fof(f21195,plain,
( ~ sQ7_spl
| ~ val(c600,mandela_0)
| ~ sub(c600,familiename_1_1) ),
inference(resolution,[status(thm)],[f21132,f20824]) ).
fof(f21196,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f21195,f21147,f21144,f21131]) ).
fof(f21260,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sub(X4,familiename_1_1)
| ~ attr(c598,X4)
| ~ val(X4,mandela_0)
| ~ has_fact_leq(c598,real)
| ~ sub(X1,X3)
| ~ val(c599,nelson_0)
| ~ subr(X0,rprs_0)
| ~ loc(c598,X2)
| ~ arg1(X0,c598)
| ~ sub(c599,eigenname_1_1)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f20823,f21124]) ).
fof(f21275,definition,
( sQ28_spl
<=> val(c599,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f21277,plain,
( sQ28_spl
| ~ val(c599,nelson_0) ),
inference(component_clause,[status(thm)],[f21275]) ).
fof(f21278,definition,
( sQ29_spl
<=> sub(c599,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f21280,plain,
( sQ29_spl
| ~ sub(c599,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f21278]) ).
fof(f21289,plain,
( ~ sQ1_spl
| sQ7_spl
| ~ sQ13_spl
| ~ sQ28_spl
| sQ14_spl
| ~ sQ29_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f21260,f21134,f21278,f21158,f21275,f21155,f21131,f21010]) ).
fof(f21303,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21277,f20828]) ).
fof(f21304,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f21303]) ).
fof(f21334,plain,
has_fact_leq(c598,real),
inference(resolution,[status(thm)],[f20892,f10210]) ).
fof(f21336,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21334,f21157]) ).
fof(f21337,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f21336]) ).
fof(f23185,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20829,f21149]) ).
fof(f23186,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f23185]) ).
fof(f23939,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20827,f21280]) ).
fof(f23940,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f23939]) ).
fof(f24002,plain,
! [X0,X1] :
( ~ sQ14_spl
| ~ state_adjective_state_binding(X0,X1)
| ~ prop(c598,X0) ),
inference(resolution,[status(thm)],[f10679,f21159]) ).
fof(f24018,plain,
! [X0] :
( ~ sQ14_spl
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,X0) ),
inference(resolution,[status(thm)],[f24002,f20825]) ).
fof(f24019,plain,
( ~ sQ14_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f19788,f24018]) ).
fof(f24020,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f24019]) ).
fof(f24532,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ attr(sK48_skl(X2,X3),X0)
| ~ prop(X3,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ val(X0,s__374dafrika_0)
| ~ sub(X0,name_1_1) ),
inference(resolution,[status(thm)],[f10677,f21008]) ).
fof(f25726,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ prop(X2,X3)
| ~ state_adjective_state_binding(X3,X1)
| ~ val(sK47_skl(X1,X2),s__374dafrika_0)
| ~ sub(sK47_skl(X1,X2),name_1_1)
| ~ prop(X2,X0)
| ~ state_adjective_state_binding(X0,X1) ),
inference(resolution,[status(thm)],[f10678,f24532]) ).
fof(f25739,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ state_adjective_state_binding(X3,X1)
| ~ prop(X2,X0)
| ~ val(sK47_skl(X1,X2),s__374dafrika_0)
| ~ prop(X2,X3)
| ~ state_adjective_state_binding(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f25726,f10681]) ).
fof(f27246,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ state_adjective_state_binding(X3,s__374dafrika_0)
| ~ state_adjective_state_binding(X2,s__374dafrika_0)
| ~ prop(X0,X3)
| ~ prop(X0,X2)
| ~ state_adjective_state_binding(X1,s__374dafrika_0)
| ~ prop(X0,X1) ),
inference(resolution,[status(thm)],[f10682,f25739]) ).
fof(f28042,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ sub(X2,X3)
| ~ subr(sK55_skl(X1,c598,X0),rprs_0)
| ~ arg2(sK55_skl(X1,c598,X0),X2)
| ~ arg2(X0,X1)
| ~ arg1(X0,c598)
| ~ subr(X0,sub_0) ),
inference(resolution,[status(thm)],[f10718,f21135]) ).
fof(f28088,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ subr(X2,sub_0)
| ~ arg2(sK55_skl(X3,c598,X2),X0)
| ~ arg1(X2,c598)
| ~ arg2(X2,X3)
| ~ sub(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f28042,f10724]) ).
fof(f28211,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ arg2(X1,X0)
| ~ arg1(X1,c598)
| ~ subr(X1,sub_0)
| ~ subr(X1,sub_0)
| ~ arg1(X1,c598)
| ~ arg2(X1,X0)
| ~ sub(sK56_skl(X0,c598,X1),X2) ),
inference(resolution,[status(thm)],[f28088,f10719]) ).
fof(f28212,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ subr(X1,sub_0)
| ~ arg2(X1,X0)
| ~ arg1(X1,c598)
| ~ sub(sK56_skl(X0,c598,X1),X2) ),
inference(duplicate_literals_removal,[status(thm)],[f28211]) ).
fof(f28285,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ arg1(X0,c598)
| ~ arg2(X0,X1)
| ~ subr(X0,sub_0)
| ~ subr(X0,sub_0)
| ~ arg2(X0,X1)
| ~ arg1(X0,c598) ),
inference(resolution,[status(thm)],[f28212,f10723]) ).
fof(f28303,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ subr(X0,sub_0)
| ~ arg2(X0,X1)
| ~ arg1(X0,c598) ),
inference(duplicate_literals_removal,[status(thm)],[f28285]) ).
fof(f28358,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ arg1(sK57_skl(X1,X0),c598)
| ~ arg2(sK57_skl(X1,X0),X2)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f28303,f10730]) ).
fof(f28936,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sub(c598,X0)
| ~ arg2(sK57_skl(X0,c598),X1)
| ~ sub(c598,X0) ),
inference(resolution,[status(thm)],[f28358,f10728]) ).
fof(f28937,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sub(c598,X0)
| ~ arg2(sK57_skl(X0,c598),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f28936]) ).
fof(f28950,plain,
! [X0] :
( ~ sQ8_spl
| ~ sub(c598,X0)
| ~ sub(c598,X0) ),
inference(resolution,[status(thm)],[f28937,f10729]) ).
fof(f28951,plain,
! [X0] :
( ~ sQ8_spl
| ~ sub(c598,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f28950]) ).
fof(f28952,plain,
( ~ sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20826,f28951]) ).
fof(f28953,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f28952]) ).
fof(f29732,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0)
| ~ state_adjective_state_binding(X1,s__374dafrika_0)
| ~ prop(c598,X1)
| ~ state_adjective_state_binding(X0,s__374dafrika_0)
| ~ prop(c598,X0) ),
inference(resolution,[status(thm)],[f27246,f20825]) ).
fof(f29733,definition,
! [X0] :
( sQ492_spl
<=> ( ~ state_adjective_state_binding(X0,s__374dafrika_0)
| ~ prop(c598,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f29734,plain,
! [X0] :
( ~ sQ492_spl
| ~ prop(c598,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f29733]) ).
fof(f29736,definition,
( sQ493_spl
<=> state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f29738,plain,
( sQ493_spl
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f29736]) ).
fof(f29739,plain,
( ~ sQ0_spl
| ~ sQ493_spl
| sQ492_spl ),
inference(split_clause,[status(thm)],[f29732,f29733,f29736,f21007]) ).
fof(f29742,plain,
( sQ493_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f29738,f19788]) ).
fof(f29743,plain,
sQ493_spl,
inference(contradiction_clause,[status(thm)],[f29742]) ).
fof(f29750,plain,
( ~ sQ492_spl
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f29734,f20825]) ).
fof(f29751,plain,
( ~ sQ492_spl
| ~ sQ493_spl ),
inference(split_clause,[status(thm)],[f29750,f29736,f29733]) ).
fof(f29752,plain,
$false,
inference(sat_refutation,[status(thm)],[f21013,f21153,f21196,f21289,f21304,f21337,f23186,f23940,f24020,f28953,f29739,f29743,f29751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+37 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 15:12:47 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 247.34/31.69 % Refutation found
% 247.34/31.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 247.34/31.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.97/32.27 % Elapsed time: 31.897849 seconds
% 15.97/32.27 % CPU time: 248.918201 seconds
% 15.97/32.27 % Total memory used: 843.723 MB
% 15.97/32.27 % Net memory used: 770.898 MB
%------------------------------------------------------------------------------