%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+16 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:14:09 PM UTC 2026
% Result : Theorem 68.45s 9.27s
% Output : CNFRefutation 66.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 148 ( 29 unt; 18 def)
% Number of atoms : 694 ( 0 equ)
% Maximal formula atoms : 124 ( 4 avg)
% Number of connectives : 903 ( 357 ~; 308 |; 215 &)
% ( 18 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 124 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 51 ( 50 usr; 19 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 49 con; 0-3 aty)
% Number of variables : 283 ( 243 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(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(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,
( gener(erfreuen_1_2,ge)
& fact(erfreuen_1_2,real)
& sort(erfreuen_1_2,da)
& varia(interesse_1_1,varia_c)
& refer(interesse_1_1,refer_c)
& quant(interesse_1_1,one)
& gener(interesse_1_1,ge)
& fact(interesse_1_1,real)
& etype(interesse_1_1,int0)
& card(interesse_1_1,int1)
& sort(interesse_1_1,as)
& sort(hoch_1_1,mq)
& gener(zeigen_1_4,ge)
& fact(zeigen_1_4,real)
& sort(zeigen_1_4,dn)
& sort(c1,tq)
& varia(c9,con)
& refer(c9,det)
& quant(c9,one)
& gener(c9,sp)
& fact(c9,real)
& etype(c9,int0)
& card(c9,int1)
& sort(c9,as)
& gener(c31,sp)
& fact(c31,real)
& sort(c31,dn)
& varia(besuch_1_1,varia_c)
& refer(besuch_1_1,refer_c)
& quant(besuch_1_1,one)
& gener(besuch_1_1,ge)
& fact(besuch_1_1,real)
& etype(besuch_1_1,int0)
& card(besuch_1_1,int1)
& sort(besuch_1_1,as)
& sort(besuch_1_1,ad)
& varia(c292,varia_c)
& refer(c292,det)
& quant(c292,one)
& gener(c292,sp)
& fact(c292,real)
& etype(c292,int0)
& card(c292,int1)
& sort(c292,o)
& varia(c28,varia_c)
& refer(c28,det)
& quant(c28,one)
& gener(c28,sp)
& fact(c28,real)
& etype(c28,int0)
& card(c28,int1)
& sort(c28,as)
& sort(c28,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)
& 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(c20,varia_c)
& refer(c20,indet)
& quant(c20,one)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,int0)
& card(c20,int1)
& sort(c20,na)
& varia(c19,varia_c)
& refer(c19,indet)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,na)
& varia(c18,con)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,d)
& chsp2(erfreuen_1_2,c1)
& subs(c9,interesse_1_1)
& reas(c9,c31)
& prop(c9,hoch_1_1)
& ornt(c9,c28)
& attch(c9,c18)
& subs(c31,zeigen_1_4)
& mannr(c31,c1)
& exp(c31,c292)
& circ(c31,c9)
& subs(c28,besuch_1_1)
& agt(c28,c292)
& val(c20,mandela_0)
& sub(c20,familiename_1_1)
& val(c19,nelson_0)
& sub(c19,eigenname_1_1)
& sub(c18,pr__344sident_1_1)
& prop(c18,s__374dafrikanisch_1_1)
& attr(c18,c20)
& attr(c18,c19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10191,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
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] :
( ~ fact(X0,X1)
| has_fact_leq(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] :
( ~ loc(X0,X1)
| ~ has_fact_leq(X0,real)
| obj(sK2_skl(X0,X1),X0) ),
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] :
( 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(f10679,plain,
! [X0,X1,X2] :
( loc(X0,sK49_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(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] :
( ~ state_adjective_state_binding(X2,X0)
| ~ prop(X1,X2)
| 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(X2),X2)
| ~ 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(f10696,plain,
! [X0,X1,X2] :
( ~ attr(X0,X1)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X1,X2)
| arg2(sK50_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( subs(sK50_skl(X1),hei__337en_1_1)
| ~ 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)],[f10694]) ).
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)
| ~ arg2(X0,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10709,plain,
! [X0,X1,X2] :
( ~ subs(X2,hei__337en_1_1)
| ~ arg2(X2,X0)
| ~ arg1(X2,X1)
| arg2(sK53_skl(X0,X1,X2),X0) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( subr(sK53_skl(X1,X2,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,X2)
| ~ arg2(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(f20818,plain,
attr(c18,c19),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20819,plain,
attr(c18,c20),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20820,plain,
prop(c18,s__374dafrikanisch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
sub(c18,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
sub(c19,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
val(c19,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
sub(c20,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
val(c20,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
attch(c9,c18),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20836,plain,
subs(c9,interesse_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20841,plain,
fact(c18,real),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20916,plain,
fact(c31,real),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20921,plain,
fact(c9,real),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20977,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(f20978,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ in(X2,X0)
| ~ val(X1,s__374dafrika_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f20977]) ).
fof(f20980,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(f20981,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ attr(X1,X2)
| ~ attr(X1,X3)
| ~ sub(X3,familiename_1_1)
| ~ obj(X6,X1)
| ~ sub(X2,eigenname_1_1)
| ~ arg2(X0,X4)
| ~ subr(X0,rprs_0)
| ~ sub(X4,X5)
| ~ val(X3,mandela_0)
| ~ val(X2,nelson_0)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f20980]) ).
fof(f20983,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f20977,f20980]) ).
fof(f23120,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ in(X3,X2)
| ~ sub(sK47_skl(s__374dafrika_0,X0),name_1_1)
| ~ attr(X2,sK47_skl(s__374dafrika_0,X0))
| ~ state_adjective_state_binding(X1,s__374dafrika_0)
| ~ prop(X0,X1) ),
inference(resolution,[status(thm)],[f10682,f20978]) ).
fof(f23121,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ state_adjective_state_binding(X3,s__374dafrika_0)
| ~ prop(X1,X3)
| ~ in(X2,X0)
| ~ attr(X0,sK47_skl(s__374dafrika_0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f23120,f10681]) ).
fof(f23122,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ in(X2,X1)
| ~ attr(X1,sK47_skl(s__374dafrika_0,X0))
| ~ prop(X0,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f23121,f19788]) ).
fof(f23123,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ prop(X0,X2)
| ~ state_adjective_state_binding(X2,s__374dafrika_0)
| ~ in(X1,sK48_skl(s__374dafrika_0,X0))
| ~ prop(X0,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f23122,f10678]) ).
fof(f23124,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)],[f23123,f19788]) ).
fof(f23125,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)],[f23124]) ).
fof(f23126,plain,
! [X0] :
( ~ sQ0_spl
| ~ in(X0,sK48_skl(s__374dafrika_0,c18)) ),
inference(resolution,[status(thm)],[f23125,f20820]) ).
fof(f23128,plain,
! [X0] :
( ~ sQ0_spl
| ~ prop(c18,X0)
| ~ state_adjective_state_binding(X0,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f23126,f10677]) ).
fof(f23141,plain,
( ~ sQ0_spl
| ~ prop(c18,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f23128,f19788]) ).
fof(f23142,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23141,f20820]) ).
fof(f23143,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f23142]) ).
fof(f23145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ attr(X1,X2)
| ~ attr(X1,c20)
| ~ sub(c20,familiename_1_1)
| ~ obj(X5,X1)
| ~ sub(X2,eigenname_1_1)
| ~ arg2(X0,X3)
| ~ subr(X0,rprs_0)
| ~ sub(X3,X4)
| ~ val(X2,nelson_0)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20981,f20825]) ).
fof(f23148,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ2_spl
<=> ( ~ attr(X1,X2)
| ~ attr(X1,c20)
| ~ obj(X5,X1)
| ~ sub(X2,eigenname_1_1)
| ~ arg2(X0,X3)
| ~ subr(X0,rprs_0)
| ~ sub(X3,X4)
| ~ val(X2,nelson_0)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f23149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ sub(X2,eigenname_1_1)
| ~ attr(X4,X2)
| ~ obj(X5,X4)
| ~ attr(X4,c20)
| ~ arg1(X0,X4)
| ~ sub(X1,X3)
| ~ val(X2,nelson_0)
| ~ subr(X0,rprs_0)
| ~ arg2(X0,X1) ),
inference(component_clause,[status(thm)],[f23148]) ).
fof(f23151,definition,
( sQ3_spl
<=> sub(c20,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f23153,plain,
( sQ3_spl
| ~ sub(c20,familiename_1_1) ),
inference(component_clause,[status(thm)],[f23151]) ).
fof(f23154,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f23145,f23148,f23151,f20980]) ).
fof(f23155,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ val(X0,nelson_0)
| ~ arg1(X4,c18)
| ~ sub(X0,eigenname_1_1)
| ~ subr(X4,rprs_0)
| ~ arg2(X4,X1)
| ~ obj(X3,c18)
| ~ sub(X1,X2)
| ~ attr(c18,X0) ),
inference(resolution,[status(thm)],[f23149,f20819]) ).
fof(f23156,definition,
! [X0] :
( sQ4_spl
<=> ( ~ val(X0,nelson_0)
| ~ sub(X0,eigenname_1_1)
| ~ attr(c18,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f23157,plain,
! [X0] :
( ~ sQ4_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c18,X0)
| ~ val(X0,nelson_0) ),
inference(component_clause,[status(thm)],[f23156]) ).
fof(f23159,definition,
! [X1,X2,X4] :
( sQ5_spl
<=> ( ~ arg1(X4,c18)
| ~ subr(X4,rprs_0)
| ~ arg2(X4,X1)
| ~ sub(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f23160,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ subr(X2,rprs_0)
| ~ arg2(X2,X0)
| ~ arg1(X2,c18)
| ~ sub(X0,X1) ),
inference(component_clause,[status(thm)],[f23159]) ).
fof(f23162,definition,
! [X3] :
( sQ6_spl
<=> ~ obj(X3,c18) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f23163,plain,
! [X0] :
( ~ sQ6_spl
| ~ obj(X0,c18) ),
inference(component_clause,[status(thm)],[f23162]) ).
fof(f23165,plain,
( ~ sQ2_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f23155,f23156,f23159,f23162,f23148]) ).
fof(f23166,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23153,f20824]) ).
fof(f23167,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f23166]) ).
fof(f23410,plain,
! [X0] :
( ~ sQ6_spl
| ~ loc(c18,X0)
| ~ has_fact_leq(c18,real) ),
inference(resolution,[status(thm)],[f23163,f10366]) ).
fof(f23421,definition,
( sQ9_spl
<=> has_fact_leq(c18,real) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f23423,plain,
( sQ9_spl
| ~ has_fact_leq(c18,real) ),
inference(component_clause,[status(thm)],[f23421]) ).
fof(f23424,definition,
! [X0] :
( sQ10_spl
<=> ~ loc(c18,X0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f23425,plain,
! [X0] :
( ~ sQ10_spl
| ~ loc(c18,X0) ),
inference(component_clause,[status(thm)],[f23424]) ).
fof(f23427,plain,
( ~ sQ6_spl
| sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f23410,f23421,f23424,f23162]) ).
fof(f23435,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ5_spl
| ~ subs(X4,hei__337en_1_1)
| ~ arg1(X4,X3)
| ~ arg1(sK53_skl(X2,X3,X4),c18)
| ~ arg2(X4,X2)
| ~ arg2(sK53_skl(X2,X3,X4),X0)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f23160,f10713]) ).
fof(f23438,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ state_adjective_state_binding(X0,X1)
| ~ prop(c18,X0) ),
inference(resolution,[status(thm)],[f23425,f10679]) ).
fof(f23456,plain,
( sQ9_spl
| ~ fact(c18,real) ),
inference(resolution,[status(thm)],[f23423,f10210]) ).
fof(f23457,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23456,f20841]) ).
fof(f23458,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f23457]) ).
fof(f23531,definition,
! [X2] :
( sQ23_spl
<=> ~ sub(c18,X2) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f23532,plain,
! [X0] :
( ~ sQ23_spl
| ~ sub(c18,X0) ),
inference(component_clause,[status(thm)],[f23531]) ).
fof(f23559,plain,
( ~ sQ23_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20821,f23532]) ).
fof(f23583,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f23559]) ).
fof(f23698,plain,
( ~ sQ4_spl
| ~ sub(c19,eigenname_1_1)
| ~ attr(c18,c19) ),
inference(resolution,[status(thm)],[f23157,f20823]) ).
fof(f23699,definition,
( sQ46_spl
<=> attr(c18,c19) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f23701,plain,
( sQ46_spl
| ~ attr(c18,c19) ),
inference(component_clause,[status(thm)],[f23699]) ).
fof(f23702,definition,
( sQ47_spl
<=> sub(c19,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f23704,plain,
( sQ47_spl
| ~ sub(c19,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f23702]) ).
fof(f23705,plain,
( ~ sQ4_spl
| ~ sQ47_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f23698,f23699,f23702,f23156]) ).
fof(f23706,plain,
( sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23701,f20818]) ).
fof(f23707,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f23706]) ).
fof(f23708,plain,
( sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23704,f20822]) ).
fof(f23709,plain,
sQ47_spl,
inference(contradiction_clause,[status(thm)],[f23708]) ).
fof(f25109,definition,
! [X0] :
( sQ170_spl
<=> ~ subs(c9,X0) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f25110,plain,
! [X0] :
( ~ sQ170_spl
| ~ subs(c9,X0) ),
inference(component_clause,[status(thm)],[f25109]) ).
fof(f25130,plain,
( ~ sQ170_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20836,f25110]) ).
fof(f25464,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,c18)
| ~ arg2(X0,X1)
| ~ arg2(sK53_skl(X1,c18,X0),X2)
| ~ sub(X2,X3)
| ~ arg2(X0,X1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg1(X0,c18) ),
inference(resolution,[status(thm)],[f10708,f23435]) ).
fof(f25466,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ arg1(X1,c18)
| ~ subs(X1,hei__337en_1_1)
| ~ sub(X2,X3)
| ~ arg2(X1,X0)
| ~ arg2(sK53_skl(X0,c18,X1),X2) ),
inference(duplicate_literals_removal,[status(thm)],[f25464]) ).
fof(f25588,definition,
( sQ239_spl
<=> has_fact_leq(c31,real) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f25590,plain,
( sQ239_spl
| ~ has_fact_leq(c31,real) ),
inference(component_clause,[status(thm)],[f25588]) ).
fof(f25621,plain,
( ~ sQ10_spl
| ~ prop(c18,s__374dafrikanisch_1_1) ),
inference(resolution,[status(thm)],[f23438,f19788]) ).
fof(f25622,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25621,f20820]) ).
fof(f25623,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f25622]) ).
fof(f25654,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c18)
| ~ arg1(X0,c18)
| ~ subs(X0,hei__337en_1_1)
| ~ sub(X1,X2)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f25466,f10709]) ).
fof(f25655,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ subs(X2,hei__337en_1_1)
| ~ arg1(X2,c18)
| ~ arg2(X2,X0)
| ~ sub(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f25654]) ).
fof(f25738,definition,
( sQ251_spl
<=> has_fact_leq(c9,real) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f25740,plain,
( sQ251_spl
| ~ has_fact_leq(c9,real) ),
inference(component_clause,[status(thm)],[f25738]) ).
fof(f25845,plain,
( sQ239_spl
| ~ fact(c31,real) ),
inference(resolution,[status(thm)],[f25590,f10210]) ).
fof(f25846,plain,
( sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25845,f20916]) ).
fof(f25847,plain,
sQ239_spl,
inference(contradiction_clause,[status(thm)],[f25846]) ).
fof(f25975,plain,
( sQ251_spl
| ~ fact(c9,real) ),
inference(resolution,[status(thm)],[f25740,f10210]) ).
fof(f25976,plain,
( sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25975,f20921]) ).
fof(f25977,plain,
sQ251_spl,
inference(contradiction_clause,[status(thm)],[f25976]) ).
fof(f25996,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ5_spl
| ~ arg1(sK50_skl(X2),c18)
| ~ arg2(sK50_skl(X2),X3)
| ~ sub(X3,X4)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f25655,f10697]) ).
fof(f26619,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ5_spl
| ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c18,X4)
| ~ sub(X4,X5)
| ~ arg2(sK50_skl(c18),X2)
| ~ sub(X2,X3)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c18,X0)
| ~ sub(X0,X1) ),
inference(resolution,[status(thm)],[f25996,f10695]) ).
fof(f26620,definition,
! [X0,X1] :
( sQ335_spl
<=> ( ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c18,X0)
| ~ sub(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f26621,plain,
! [X0,X1] :
( ~ sQ335_spl
| ~ attr(c18,X1)
| ~ sub(X1,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(component_clause,[status(thm)],[f26620]) ).
fof(f26623,definition,
! [X2,X3] :
( sQ336_spl
<=> ( ~ arg2(sK50_skl(c18),X2)
| ~ sub(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f26624,plain,
! [X0,X1] :
( ~ sQ336_spl
| ~ arg2(sK50_skl(c18),X0)
| ~ sub(X0,X1) ),
inference(component_clause,[status(thm)],[f26623]) ).
fof(f26626,plain,
( ~ sQ5_spl
| sQ336_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f26619,f26620,f26623,f23159]) ).
fof(f26628,plain,
! [X0] :
( ~ sQ335_spl
| ~ attr(c18,X0)
| ~ sub(X0,eigenname_1_1) ),
inference(resolution,[status(thm)],[f26621,f10191]) ).
fof(f26629,plain,
( ~ sQ335_spl
| ~ sub(c19,eigenname_1_1) ),
inference(resolution,[status(thm)],[f26628,f20818]) ).
fof(f26632,plain,
( ~ sQ335_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f26629,f23702,f26620]) ).
fof(f26863,definition,
! [X0] :
( sQ357_spl
<=> ~ attch(c9,X0) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f26864,plain,
! [X0] :
( ~ sQ357_spl
| ~ attch(c9,X0) ),
inference(component_clause,[status(thm)],[f26863]) ).
fof(f26878,plain,
( ~ sQ357_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20832,f26864]) ).
fof(f26960,plain,
~ sQ357_spl,
inference(contradiction_clause,[status(thm)],[f26878]) ).
fof(f26978,plain,
~ sQ170_spl,
inference(contradiction_clause,[status(thm)],[f25130]) ).
fof(f28034,plain,
! [X0,X1,X2] :
( ~ sQ336_spl
| ~ attr(c18,X1)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X1,X2)
| ~ sub(c18,X0) ),
inference(resolution,[status(thm)],[f26624,f10696]) ).
fof(f28035,plain,
( ~ sQ336_spl
| sQ335_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f28034,f23531,f26620,f26623]) ).
fof(f28036,plain,
$false,
inference(sat_refutation,[status(thm)],[f20983,f23143,f23154,f23165,f23167,f23427,f23458,f23583,f23705,f23707,f23709,f25623,f25847,f25977,f26626,f26632,f26960,f26978,f28035]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR116+16 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n003.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon Sep 21 15:10:31 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.37/0.62 % Drodi V4.1.1
% 68.45/9.27 % Refutation found
% 68.45/9.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 68.45/9.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 66.90/9.38 % Elapsed time: 8.970074 seconds
% 66.90/9.38 % CPU time: 68.964183 seconds
% 66.90/9.38 % Total memory used: 619.121 MB
% 66.90/9.38 % Net memory used: 591.462 MB
%------------------------------------------------------------------------------