%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:14:11 PM UTC 2026
% Result : Theorem 26.99s 3.99s
% Output : CNFRefutation 27.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 97 ( 22 unt; 12 def)
% Number of atoms : 764 ( 0 equ)
% Maximal formula atoms : 346 ( 7 avg)
% Number of connectives : 926 ( 259 ~; 229 |; 423 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 346 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 41 ( 40 usr; 13 prp; 0-10 aty)
% Number of functors : 86 ( 86 usr; 81 con; 0-3 aty)
% Number of variables : 185 ( 155 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
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(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(dominanz_1_1,varia_c)
& refer(dominanz_1_1,refer_c)
& quant(dominanz_1_1,one)
& gener(dominanz_1_1,ge)
& fact(dominanz_1_1,real)
& etype(dominanz_1_1,int0)
& card(dominanz_1_1,int1)
& sort(dominanz_1_1,ad)
& varia(pr__344_1_1,varia_c)
& refer(pr__344_1_1,refer_c)
& quant(pr__344_1_1,quant_c)
& gener(pr__344_1_1,gener_c)
& fact(pr__344_1_1,real)
& etype(pr__344_1_1,etype_c)
& card(pr__344_1_1,card_c)
& sort(pr__344_1_1,ent)
& varia(c6617,varia_c)
& refer(c6617,refer_c)
& quant(c6617,quant_c)
& gener(c6617,gener_c)
& fact(c6617,real)
& etype(c6617,etype_c)
& card(c6617,card_c)
& sort(c6617,ent)
& varia(minderheit_1_2,varia_c)
& refer(minderheit_1_2,refer_c)
& quant(minderheit_1_2,quant_c)
& gener(minderheit_1_2,ge)
& fact(minderheit_1_2,real)
& etype(minderheit_1_2,int1)
& card(minderheit_1_2,card_c)
& sort(minderheit_1_2,d)
& sort(wei__337_1_1,nq)
& varia(hegemonie_1_1,varia_c)
& refer(hegemonie_1_1,refer_c)
& quant(hegemonie_1_1,one)
& gener(hegemonie_1_1,ge)
& fact(hegemonie_1_1,real)
& etype(hegemonie_1_1,int0)
& card(hegemonie_1_1,int1)
& sort(hegemonie_1_1,ad)
& varia(c6536,con)
& refer(c6536,det)
& quant(c6536,one)
& gener(c6536,sp)
& fact(c6536,real)
& etype(c6536,int1)
& card(c6536,int1)
& sort(c6536,d)
& varia(c6529,con)
& refer(c6529,det)
& quant(c6529,one)
& gener(c6529,sp)
& fact(c6529,real)
& etype(c6529,int0)
& card(c6529,int1)
& sort(c6529,ad)
& varia(jahr__1_1,varia_c)
& refer(jahr__1_1,refer_c)
& quant(jahr__1_1,quant_c)
& gener(jahr__1_1,ge)
& fact(jahr__1_1,real)
& etype(jahr__1_1,etype_c)
& card(jahr__1_1,card_c)
& sort(jahr__1_1,ta)
& sort(jahr__1_1,oa)
& sort(jahr__1_1,me)
& card(c6523,int342)
& sort(c6523,nu)
& varia(c6528,varia_c)
& refer(c6528,refer_c)
& quant(c6528,quant_c)
& gener(c6528,gener_c)
& fact(c6528,real)
& etype(c6528,etype_c)
& card(c6528,card_c)
& sort(c6528,ta)
& sort(c6528,m)
& varia(montag__1_1,varia_c)
& refer(montag__1_1,refer_c)
& quant(montag__1_1,one)
& gener(montag__1_1,ge)
& fact(montag__1_1,real)
& etype(montag__1_1,int0)
& card(montag__1_1,int1)
& sort(montag__1_1,ta)
& varia(c6519,con)
& refer(c6519,det)
& quant(c6519,one)
& gener(c6519,sp)
& fact(c6519,real)
& etype(c6519,int0)
& card(c6519,int1)
& sort(c6519,ta)
& sort(s__374dafrika_0,fe)
& varia(name_1_1,varia_c)
& refer(name_1_1,refer_c)
& quant(name_1_1,one)
& gener(name_1_1,ge)
& fact(name_1_1,real)
& etype(name_1_1,int0)
& card(name_1_1,int1)
& sort(name_1_1,na)
& varia(c6516,varia_c)
& refer(c6516,indet)
& quant(c6516,one)
& gener(c6516,sp)
& fact(c6516,real)
& etype(c6516,int0)
& card(c6516,int1)
& sort(c6516,na)
& varia(c6515,con)
& refer(c6515,det)
& quant(c6515,one)
& gener(c6515,sp)
& fact(c6515,real)
& etype(c6515,int0)
& card(c6515,int1)
& sort(c6515,io)
& sort(c6515,d)
& varia(in_2_1,varia_c)
& refer(in_2_1,refer_c)
& quant(in_2_1,one)
& gener(in_2_1,ge)
& fact(in_2_1,real)
& etype(in_2_1,int0)
& card(in_2_1,int1)
& sort(in_2_1,o)
& varia(c6509,varia_c)
& refer(c6509,refer_c)
& quant(c6509,one)
& gener(c6509,gener_c)
& fact(c6509,real)
& etype(c6509,int0)
& card(c6509,int1)
& sort(c6509,o)
& sort(brandt_0,fe)
& sort(hans_0,fe)
& varia(c6508,varia_c)
& refer(c6508,indet)
& quant(c6508,one)
& gener(c6508,sp)
& fact(c6508,real)
& etype(c6508,int0)
& card(c6508,int1)
& sort(c6508,na)
& varia(c6507,varia_c)
& refer(c6507,indet)
& quant(c6507,one)
& gener(c6507,sp)
& fact(c6507,real)
& etype(c6507,int0)
& card(c6507,int1)
& sort(c6507,na)
& varia(c6506,con)
& refer(c6506,det)
& quant(c6506,one)
& gener(c6506,sp)
& fact(c6506,real)
& etype(c6506,int0)
& card(c6506,int1)
& sort(c6506,d)
& varia(von_2_1,varia_c)
& refer(von_2_1,refer_c)
& quant(von_2_1,one)
& gener(von_2_1,ge)
& fact(von_2_1,real)
& etype(von_2_1,int0)
& card(von_2_1,int1)
& sort(von_2_1,o)
& varia(c6500,varia_c)
& refer(c6500,refer_c)
& quant(c6500,one)
& gener(c6500,gener_c)
& fact(c6500,real)
& etype(c6500,int0)
& card(c6500,int1)
& sort(c6500,o)
& varia(c6499,con)
& refer(c6499,det)
& quant(c6499,one)
& gener(c6499,sp)
& fact(c6499,real)
& etype(c6499,int0)
& card(c6499,int1)
& sort(c6499,io)
& sort(c6499,d)
& varia(abschlu__337_1_1,varia_c)
& refer(abschlu__337_1_1,refer_c)
& quant(abschlu__337_1_1,one)
& gener(abschlu__337_1_1,ge)
& fact(abschlu__337_1_1,real)
& etype(abschlu__337_1_1,int0)
& card(abschlu__337_1_1,int1)
& sort(abschlu__337_1_1,io)
& sort(abschlu__337_1_1,ad)
& varia(c6496,varia_c)
& refer(c6496,det)
& quant(c6496,one)
& gener(c6496,sp)
& fact(c6496,real)
& etype(c6496,int0)
& card(c6496,int1)
& sort(c6496,io)
& sort(c6496,ad)
& 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)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c6492,varia_c)
& refer(c6492,refer_c)
& quant(c6492,one)
& gener(c6492,ge)
& fact(c6492,real)
& etype(c6492,int0)
& card(c6492,int1)
& sort(c6492,d)
& sort(schwarz_1_1,tq)
& varia(c6485,con)
& refer(c6485,det)
& quant(c6485,one)
& gener(c6485,sp)
& fact(c6485,real)
& etype(c6485,int0)
& card(c6485,int1)
& sort(c6485,d)
& sort(mandela_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& sort(nelson_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c6479,varia_c)
& refer(c6479,indet)
& quant(c6479,one)
& gener(c6479,sp)
& fact(c6479,real)
& etype(c6479,int0)
& card(c6479,int1)
& sort(c6479,na)
& varia(c6478,varia_c)
& refer(c6478,indet)
& quant(c6478,one)
& gener(c6478,sp)
& fact(c6478,real)
& etype(c6478,int0)
& card(c6478,int1)
& sort(c6478,na)
& varia(c6477,con)
& refer(c6477,det)
& quant(c6477,one)
& gener(c6477,sp)
& fact(c6477,real)
& etype(c6477,int0)
& card(c6477,int1)
& sort(c6477,d)
& varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(apartheid_1_1,varia_c)
& refer(apartheid_1_1,refer_c)
& quant(apartheid_1_1,one)
& gener(apartheid_1_1,ge)
& fact(apartheid_1_1,real)
& etype(apartheid_1_1,int0)
& card(apartheid_1_1,int1)
& sort(apartheid_1_1,io)
& varia(apartheidsstaat_1_1,varia_c)
& refer(apartheidsstaat_1_1,refer_c)
& quant(apartheidsstaat_1_1,one)
& gener(apartheidsstaat_1_1,ge)
& fact(apartheidsstaat_1_1,real)
& etype(apartheidsstaat_1_1,int0)
& card(apartheidsstaat_1_1,int1)
& sort(apartheidsstaat_1_1,io)
& sort(apartheidsstaat_1_1,d)
& subs(hegemonie_1_1,dominanz_1_1)
& assoc(hegemonie_1_1,pr__344_1_1)
& tupl_p10(c6617,c6477,c6485,c6496,c6500,c6506,c6509,c6515,c6519,c6529)
& sub(c6536,minderheit_1_2)
& prop(c6536,wei__337_1_1)
& subs(c6529,hegemonie_1_1)
& dur(c6529,c6528)
& agt(c6529,c6536)
& quant_p3(c6528,c6523,jahr__1_1)
& sub(c6519,montag__1_1)
& val(c6516,s__374dafrika_0)
& sub(c6516,name_1_1)
& sub(c6515,land_1_1)
& attr(c6515,c6516)
& sub(c6509,in_2_1)
& val(c6508,brandt_0)
& sub(c6508,familiename_1_1)
& val(c6507,hans_0)
& sub(c6507,eigenname_1_1)
& sub(c6506,mensch_1_1)
& attr(c6506,c6508)
& attr(c6506,c6507)
& sub(c6500,von_2_1)
& sub(c6499,apartheidsstaat_1_1)
& attch(c6499,c6496)
& sub(c6496,abschlu__337_1_1)
& pmod(c6492,erst_1_1,pr__344sident_1_1)
& sub(c6485,c6492)
& prop(c6485,schwarz_1_1)
& val(c6479,mandela_0)
& sub(c6479,familiename_1_1)
& val(c6478,nelson_0)
& sub(c6478,eigenname_1_1)
& sub(c6477,mensch_1_1)
& attr(c6477,c6479)
& attr(c6477,c6478)
& sub(apartheidsstaat_1_1,land_1_1)
& assoc(apartheidsstaat_1_1,apartheid_1_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10191,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10692,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f159]) ).
fof(f10693,plain,
! [X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10692]) ).
fof(f10694,plain,
! [X2] :
( ( subs(sK50_skl(X2),hei__337en_1_1)
& arg2(sK50_skl(X2),X2)
& arg1(sK50_skl(X2),X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50_skl]),skolemize(X3,sK50_skl(X2))],[f10693]) ).
fof(f10695,plain,
! [X0,X1,X2] :
( arg1(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10696,plain,
! [X0,X1,X2] :
( arg2(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( subs(sK50_skl(X0),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10698,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f160]) ).
fof(f10699,plain,
! [X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10698]) ).
fof(f10700,plain,
! [X2] :
( ( subs(sK51_skl(X2),stehen_1_b)
& scar(sK51_skl(X2),X2)
& obj(sK51_skl(X2),X2)
& mcont(sK51_skl(X2),X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl]),skolemize(X3,sK51_skl(X2))],[f10699]) ).
fof(f10702,plain,
! [X0,X1,X2] :
( obj(sK51_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10700]) ).
fof(f10705,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f161]) ).
fof(f10706,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,bezeichnen_1_1)
& ? [X4] :
( subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(miniscoping,[status(thm)],[f10705]) ).
fof(f10707,plain,
! [X0,X1,X2] :
( ( subs(sK52_skl(X2,X1,X0),bezeichnen_1_1)
& subr(sK53_skl(X2,X1,X0),rprs_0)
& obj(sK52_skl(X2,X1,X0),X1)
& mcont(sK52_skl(X2,X1,X0),sK53_skl(X2,X1,X0))
& hsit(X0,sK52_skl(X2,X1,X0))
& arg2(sK53_skl(X2,X1,X0),X2)
& arg1(sK53_skl(X2,X1,X0),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl]),skolemize(X3,sK52_skl(X2,X1,X0)),skolemize(X4,sK53_skl(X2,X1,X0))],[f10706]) ).
fof(f10708,plain,
! [X0,X1,X2] :
( arg1(sK53_skl(X2,X1,X0),X1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( subr(sK53_skl(X2,X1,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X6,s__374dafrika_0)
| ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ prop(X4,schwarz_1_1)
| ~ obj(X7,X0)
| ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X6] :
( ~ val(X6,s__374dafrika_0)
| ! [X2] :
( ~ val(X2,nelson_0)
| ! [X1] :
( ~ val(X1,mandela_0)
| ! [X3] :
( ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ! [X4,X8] :
( ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ prop(X4,schwarz_1_1)
| ! [X0] :
( ! [X7] : ~ obj(X7,X0)
| ! [X5] : ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X6,s__374dafrika_0)
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X8,X0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ prop(X8,schwarz_1_1)
| ~ obj(X7,X2)
| ~ attr(X5,X6)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20820,plain,
attr(c6477,c6478),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
attr(c6477,c6479),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
sub(c6478,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
val(c6478,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
sub(c6479,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
val(c6479,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
prop(c6485,schwarz_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
sub(c6485,c6492),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
pmod(c6492,erst_1_1,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20842,plain,
attr(c6515,c6516),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20844,plain,
sub(c6516,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20845,plain,
val(c6516,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21199,definition,
! [X0,X8] :
( sQ0_spl
<=> ( ~ sub(X8,X0)
| ~ prop(X8,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21200,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sub(X1,X0)
| ~ prop(X1,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(component_clause,[status(thm)],[f21199]) ).
fof(f21202,definition,
! [X1,X2,X3,X4,X7] :
( sQ1_spl
<=> ( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X2)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21203,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ val(X3,nelson_0)
| ~ val(X2,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X2,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21202]) ).
fof(f21205,definition,
! [X5,X6] :
( sQ2_spl
<=> ( ~ val(X6,s__374dafrika_0)
| ~ sub(X6,name_1_1)
| ~ attr(X5,X6) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21206,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ val(X1,s__374dafrika_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21205]) ).
fof(f21208,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21199,f21202,f21205]) ).
fof(f21256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ val(X5,nelson_0)
| ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X5,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,X5)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f10702,f21203]) ).
fof(f21257,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(c6478,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,c6478)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21256,f20824]) ).
fof(f21258,definition,
! [X0,X1,X2,X3,X4] :
( sQ5_spl
<=> ( ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,c6478)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21259,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ5_spl
| ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,c6478)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21258]) ).
fof(f21261,definition,
( sQ6_spl
<=> sub(c6478,eigenname_1_1) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21263,plain,
( sQ6_spl
| ~ sub(c6478,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f21261]) ).
fof(f21264,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f21257,f21258,f21261,f21202]) ).
fof(f21265,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21263,f20823]) ).
fof(f21266,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f21265]) ).
fof(f21267,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c6485,X0)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f21200,f20827]) ).
fof(f21268,plain,
( ~ sQ0_spl
| ~ pmod(c6492,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f21267,f20828]) ).
fof(f21269,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21268,f20829]) ).
fof(f21270,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f21269]) ).
fof(f21279,definition,
! [X0] :
( sQ8_spl
<=> ( ~ subr(X0,rprs_0)
| ~ arg1(X0,c6477) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21280,plain,
! [X0] :
( ~ sQ8_spl
| ~ subr(X0,rprs_0)
| ~ arg1(X0,c6477) ),
inference(component_clause,[status(thm)],[f21279]) ).
fof(f21282,definition,
! [X1] :
( sQ9_spl
<=> ( ~ val(X1,mandela_0)
| ~ sub(X1,familiename_1_1)
| ~ attr(c6477,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21283,plain,
! [X0] :
( ~ sQ9_spl
| ~ val(X0,mandela_0)
| ~ sub(X0,familiename_1_1)
| ~ attr(c6477,X0) ),
inference(component_clause,[status(thm)],[f21282]) ).
fof(f21290,plain,
! [X0] :
( ~ sQ2_spl
| ~ sub(c6516,name_1_1)
| ~ attr(X0,c6516) ),
inference(resolution,[status(thm)],[f21206,f20845]) ).
fof(f21291,definition,
! [X0] :
( sQ11_spl
<=> ~ attr(X0,c6516) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f21292,plain,
! [X0] :
( ~ sQ11_spl
| ~ attr(X0,c6516) ),
inference(component_clause,[status(thm)],[f21291]) ).
fof(f21294,definition,
( sQ12_spl
<=> sub(c6516,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21296,plain,
( sQ12_spl
| ~ sub(c6516,name_1_1) ),
inference(component_clause,[status(thm)],[f21294]) ).
fof(f21297,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f21290,f21291,f21294,f21205]) ).
fof(f21298,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21296,f20844]) ).
fof(f21299,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f21298]) ).
fof(f21300,plain,
( ~ sQ11_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20842,f21292]) ).
fof(f21301,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f21300]) ).
fof(f21310,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ val(X3,mandela_0)
| ~ subr(X2,rprs_0)
| ~ sub(X3,familiename_1_1)
| ~ attr(c6477,X3)
| ~ arg1(X2,c6477)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c6477,X0) ),
inference(resolution,[status(thm)],[f21259,f20820]) ).
fof(f21311,definition,
! [X0,X1] :
( sQ13_spl
<=> ( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c6477,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f21312,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c6477,X0) ),
inference(component_clause,[status(thm)],[f21311]) ).
fof(f21314,plain,
( ~ sQ5_spl
| sQ9_spl
| sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f21310,f21311,f21279,f21282,f21258]) ).
fof(f21317,plain,
( ~ sQ9_spl
| ~ sub(c6479,familiename_1_1)
| ~ attr(c6477,c6479) ),
inference(resolution,[status(thm)],[f21283,f20826]) ).
fof(f21318,definition,
( sQ14_spl
<=> attr(c6477,c6479) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f21320,plain,
( sQ14_spl
| ~ attr(c6477,c6479) ),
inference(component_clause,[status(thm)],[f21318]) ).
fof(f21321,definition,
( sQ15_spl
<=> sub(c6479,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f21323,plain,
( sQ15_spl
| ~ sub(c6479,familiename_1_1) ),
inference(component_clause,[status(thm)],[f21321]) ).
fof(f21324,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f21317,f21318,f21321,f21282]) ).
fof(f21325,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21323,f20825]) ).
fof(f21326,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f21325]) ).
fof(f21327,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21320,f20821]) ).
fof(f21328,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f21327]) ).
fof(f21336,plain,
! [X0] :
( ~ sQ13_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c6477,X0) ),
inference(resolution,[status(thm)],[f21312,f10191]) ).
fof(f21344,plain,
( ~ sQ13_spl
| ~ attr(c6477,c6478) ),
inference(resolution,[status(thm)],[f21336,f20823]) ).
fof(f21345,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21344,f20820]) ).
fof(f21346,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f21345]) ).
fof(f22877,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ subr(sK53_skl(X1,c6477,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c6477) ),
inference(resolution,[status(thm)],[f10708,f21280]) ).
fof(f22878,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c6477) ),
inference(forward_subsumption_resolution,[status(thm)],[f22877,f10713]) ).
fof(f22881,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1)
| ~ subs(sK50_skl(X0),hei__337en_1_1)
| ~ arg1(sK50_skl(X0),c6477) ),
inference(resolution,[status(thm)],[f22878,f10696]) ).
fof(f22882,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1)
| ~ arg1(sK50_skl(X0),c6477) ),
inference(forward_subsumption_resolution,[status(thm)],[f22881,f10697]) ).
fof(f22883,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c6477,X2)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c6477,X0) ),
inference(resolution,[status(thm)],[f22882,f10695]) ).
fof(f22884,plain,
( ~ sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f22883,f21311,f21279]) ).
fof(f22885,plain,
$false,
inference(sat_refutation,[status(thm)],[f21208,f21264,f21266,f21270,f21297,f21299,f21301,f21314,f21324,f21326,f21328,f21346,f22884]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 15:09:14 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.24/0.49 % Drodi V4.1.1
% 26.99/3.99 % Refutation found
% 26.99/3.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.99/3.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.81/4.07 % Elapsed time: 3.709124 seconds
% 27.81/4.07 % CPU time: 27.874433 seconds
% 27.81/4.07 % Total memory used: 507.542 MB
% 27.81/4.07 % Net memory used: 498.283 MB
%------------------------------------------------------------------------------