%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+32 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 64.52s 8.78s
% Output : CNFRefutation 57.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 95 ( 29 unt; 17 def)
% Number of atoms : 706 ( 0 equ)
% Maximal formula atoms : 338 ( 7 avg)
% Number of connectives : 857 ( 246 ~; 223 |; 371 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 338 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 44 ( 43 usr; 18 prp; 0-3 aty)
% Number of functors : 85 ( 85 usr; 84 con; 0-2 aty)
% Number of variables : 108 ( 90 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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)
& subs(X7,w__344hlen_1_2)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X7,X3)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('/export/starexec/sandbox2/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)
& subs(X7,w__344hlen_1_2)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X7,X3)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(demokratie__1_1,varia_c)
& refer(demokratie__1_1,refer_c)
& quant(demokratie__1_1,one)
& gener(demokratie__1_1,ge)
& fact(demokratie__1_1,real)
& etype(demokratie__1_1,int0)
& card(demokratie__1_1,int1)
& sort(demokratie__1_1,io)
& card(c3,int1994)
& sort(c3,nu)
& 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)
& varia(c8,varia_c)
& refer(c8,refer_c)
& quant(c8,quant_c)
& gener(c8,sp)
& fact(c8,real)
& etype(c8,etype_c)
& card(c8,card_c)
& sort(c8,ta)
& sort(c8,oa)
& sort(c8,me)
& varia(c7,con)
& refer(c7,det)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,t)
& gener(gewinnen_1_1,ge)
& fact(gewinnen_1_1,real)
& sort(gewinnen_1_1,dn)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& sort(s__374dafrika_0,fe)
& 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(c319,varia_c)
& refer(c319,indet)
& quant(c319,one)
& gener(c319,sp)
& fact(c319,real)
& etype(c319,int0)
& card(c319,int1)
& sort(c319,na)
& varia(c318,con)
& refer(c318,det)
& quant(c318,one)
& gener(c318,sp)
& fact(c318,real)
& etype(c318,int0)
& card(c318,int1)
& sort(c318,io)
& sort(c318,d)
& gener(w__344hlen_1_2,ge)
& fact(w__344hlen_1_2,real)
& sort(w__344hlen_1_2,da)
& gener(c6,sp)
& fact(c6,real)
& sort(c6,dn)
& gener(c322,sp)
& fact(c322,real)
& sort(c322,st)
& gener(c309,sp)
& fact(c309,real)
& sort(c309,da)
& 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)
& varia(c303,varia_c)
& refer(c303,refer_c)
& quant(c303,one)
& gener(c303,ge)
& fact(c303,real)
& etype(c303,int0)
& card(c303,int1)
& sort(c303,d)
& sort(schwarz_1_1,tq)
& varia(c301,con)
& refer(c301,det)
& quant(c301,one)
& gener(c301,sp)
& fact(c301,real)
& etype(c301,int0)
& card(c301,int1)
& sort(c301,d)
& varia(abgeordneten_haus_1_2,varia_c)
& refer(abgeordneten_haus_1_2,refer_c)
& quant(abgeordneten_haus_1_2,one)
& gener(abgeordneten_haus_1_2,ge)
& fact(abgeordneten_haus_1_2,real)
& etype(abgeordneten_haus_1_2,int0)
& card(abgeordneten_haus_1_2,int1)
& sort(abgeordneten_haus_1_2,io)
& sort(abgeordneten_haus_1_2,d)
& sort(neo_1_1,nq)
& varia(c294,con)
& refer(c294,det)
& quant(c294,one)
& gener(c294,sp)
& fact(c294,real)
& etype(c294,int0)
& card(c294,int1)
& sort(c294,io)
& sort(c294,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(c290,varia_c)
& refer(c290,indet)
& quant(c290,one)
& gener(c290,sp)
& fact(c290,real)
& etype(c290,int0)
& card(c290,int1)
& sort(c290,na)
& varia(c289,varia_c)
& refer(c289,indet)
& quant(c289,one)
& gener(c289,sp)
& fact(c289,real)
& etype(c289,int0)
& card(c289,int1)
& sort(c289,na)
& varia(c288,con)
& refer(c288,det)
& quant(c288,one)
& gener(c288,sp)
& fact(c288,real)
& etype(c288,int0)
& card(c288,int1)
& sort(c288,d)
& card(c279,int5)
& sort(c279,nu)
& varia(monat_1_1,varia_c)
& refer(monat_1_1,refer_c)
& quant(monat_1_1,quant_c)
& gener(monat_1_1,ge)
& fact(monat_1_1,real)
& etype(monat_1_1,etype_c)
& card(monat_1_1,card_c)
& sort(monat_1_1,ta)
& sort(monat_1_1,oa)
& sort(monat_1_1,me)
& card(c278,int9)
& sort(c278,nu)
& varia(tag_1_1,varia_c)
& refer(tag_1_1,refer_c)
& quant(tag_1_1,quant_c)
& gener(tag_1_1,ge)
& fact(tag_1_1,real)
& etype(tag_1_1,etype_c)
& card(tag_1_1,card_c)
& sort(tag_1_1,ta)
& sort(tag_1_1,oa)
& sort(tag_1_1,me)
& varia(c282,varia_c)
& refer(c282,det)
& quant(c282,quant_c)
& gener(c282,sp)
& fact(c282,real)
& etype(c282,etype_c)
& card(c282,card_c)
& sort(c282,ta)
& sort(c282,oa)
& sort(c282,me)
& varia(c281,varia_c)
& refer(c281,det)
& quant(c281,quant_c)
& gener(c281,sp)
& fact(c281,real)
& etype(c281,etype_c)
& card(c281,card_c)
& sort(c281,ta)
& sort(c281,oa)
& sort(c281,me)
& varia(c280,con)
& refer(c280,det)
& quant(c280,one)
& gener(c280,sp)
& fact(c280,real)
& etype(c280,int0)
& card(c280,int1)
& sort(c280,t)
& varia(wahl_1_1,varia_c)
& refer(wahl_1_1,refer_c)
& quant(wahl_1_1,one)
& gener(wahl_1_1,ge)
& fact(wahl_1_1,real)
& etype(wahl_1_1,int0)
& card(wahl_1_1,int1)
& sort(wahl_1_1,ad)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& sort(demokratisch__1_1,nq)
& varia(c22,varia_c)
& refer(c22,refer_c)
& quant(c22,one)
& gener(c22,ge)
& fact(c22,real)
& etype(c22,int0)
& card(c22,int1)
& sort(c22,ad)
& varia(c20,con)
& refer(c20,det)
& quant(c20,mult)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,int1)
& card(c20,cons(x_constant,cons(int1,nil)))
& sort(c20,ad)
& sort(anc_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(einrichtung_1_2,varia_c)
& refer(einrichtung_1_2,refer_c)
& quant(einrichtung_1_2,quant_c)
& gener(einrichtung_1_2,ge)
& fact(einrichtung_1_2,real)
& etype(einrichtung_1_2,int1)
& card(einrichtung_1_2,card_c)
& sort(einrichtung_1_2,io)
& sort(einrichtung_1_2,d)
& varia(c16,varia_c)
& refer(c16,indet)
& quant(c16,one)
& gener(c16,sp)
& fact(c16,real)
& etype(c16,int0)
& card(c16,int1)
& sort(c16,na)
& varia(c15,con)
& refer(c15,det)
& quant(c15,one)
& gener(c15,sp)
& fact(c15,real)
& etype(c15,int1)
& card(c15,int1)
& sort(c15,io)
& sort(c15,d)
& assoc(demokratisch__1_1,demokratie__1_1)
& val(c8,c3)
& sub(c8,jahr__1_1)
& attr(c7,c8)
& temp(c6,c7)
& subs(c6,gewinnen_1_1)
& obj(c6,c20)
& exp(c6,c15)
& subr(c322,rprs_0)
& arg2(c322,c301)
& arg1(c322,c288)
& val(c319,s__374dafrika_0)
& sub(c319,name_1_1)
& sub(c318,land_1_1)
& attr(c318,c319)
& attch(c318,c301)
& temp(c309,c280)
& subs(c309,w__344hlen_1_2)
& semrel(c309,c6)
& rslt(c309,c322)
& obj(c309,c288)
& agt(c309,c294)
& pmod(c303,erst_1_1,pr__344sident_1_1)
& sub(c301,c303)
& prop(c301,schwarz_1_1)
& sub(c294,abgeordneten_haus_1_2)
& prop(c294,neo_1_1)
& val(c290,mandela_0)
& sub(c290,familiename_1_1)
& val(c289,nelson_0)
& sub(c289,eigenname_1_1)
& sub(c288,mensch_1_1)
& attr(c288,c290)
& attr(c288,c289)
& val(c282,c279)
& sub(c282,monat_1_1)
& val(c281,c278)
& sub(c281,tag_1_1)
& attr(c280,c282)
& attr(c280,c281)
& pmod(c22,erst_1_1,wahl_1_1)
& prop(c20,demokratisch__1_1)
& preds(c20,c22)
& val(c16,anc_0)
& sub(c16,name_1_1)
& sub(c15,einrichtung_1_2)
& attr(c15,c16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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)
| ~ subs(X7,w__344hlen_1_2)
| ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ rslt(X7,X3)
| ~ prop(X4,schwarz_1_1)
| ~ obj(X7,X0)
| ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ 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)
| ! [X7] :
( ~ subs(X7,w__344hlen_1_2)
| ! [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)
| ~ rslt(X7,X3)
| ~ prop(X4,schwarz_1_1)
| ! [X0] :
( ~ obj(X7,X0)
| ! [X5] : ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ 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(X7,s__374dafrika_0)
| ~ val(X5,nelson_0)
| ~ val(X4,mandela_0)
| ~ subs(X8,w__344hlen_1_2)
| ~ subr(X1,rprs_0)
| ~ sub(X7,name_1_1)
| ~ sub(X3,X0)
| ~ sub(X5,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ rslt(X8,X1)
| ~ prop(X3,schwarz_1_1)
| ~ obj(X8,X2)
| ~ attr(X6,X7)
| ~ attr(X2,X5)
| ~ attr(X2,X4)
| ~ arg2(X1,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20831,plain,
attr(c288,c289),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
attr(c288,c290),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
sub(c289,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20835,plain,
val(c289,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20836,plain,
sub(c290,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20837,plain,
val(c290,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20840,plain,
prop(c301,schwarz_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20841,plain,
sub(c301,c303),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20842,plain,
pmod(c303,erst_1_1,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20844,plain,
obj(c309,c288),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20845,plain,
rslt(c309,c322),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20847,plain,
subs(c309,w__344hlen_1_2),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20850,plain,
attr(c318,c319),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20852,plain,
sub(c319,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20853,plain,
val(c319,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20854,plain,
arg1(c322,c288),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20855,plain,
arg2(c322,c301),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20856,plain,
subr(c322,rprs_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21191,definition,
! [X0,X1,X2,X3,X4,X5,X8] :
( sQ0_spl
<=> ( ~ val(X5,nelson_0)
| ~ val(X4,mandela_0)
| ~ subs(X8,w__344hlen_1_2)
| ~ subr(X1,rprs_0)
| ~ sub(X3,X0)
| ~ sub(X5,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ rslt(X8,X1)
| ~ prop(X3,schwarz_1_1)
| ~ obj(X8,X2)
| ~ attr(X2,X5)
| ~ attr(X2,X4)
| ~ arg2(X1,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21192,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ0_spl
| ~ prop(X5,schwarz_1_1)
| ~ sub(X6,eigenname_1_1)
| ~ arg1(X4,X1)
| ~ sub(X5,X2)
| ~ rslt(X0,X4)
| ~ val(X3,mandela_0)
| ~ val(X6,nelson_0)
| ~ attr(X1,X6)
| ~ arg2(X4,X5)
| ~ attr(X1,X3)
| ~ subr(X4,rprs_0)
| ~ subs(X0,w__344hlen_1_2)
| ~ sub(X3,familiename_1_1)
| ~ pmod(X2,erst_1_1,pr__344sident_1_1)
| ~ obj(X0,X1) ),
inference(component_clause,[status(thm)],[f21191]) ).
fof(f21194,definition,
! [X6,X7] :
( sQ1_spl
<=> ( ~ val(X7,s__374dafrika_0)
| ~ sub(X7,name_1_1)
| ~ attr(X6,X7) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21195,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sub(X1,name_1_1)
| ~ val(X1,s__374dafrika_0)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21194]) ).
fof(f21197,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21191,f21194]) ).
fof(f21204,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ sub(X0,eigenname_1_1)
| ~ rslt(X4,X1)
| ~ pmod(X5,erst_1_1,pr__344sident_1_1)
| ~ subs(X4,w__344hlen_1_2)
| ~ sub(X2,X5)
| ~ sub(c290,familiename_1_1)
| ~ obj(X4,X3)
| ~ attr(X3,X0)
| ~ attr(X3,c290)
| ~ arg1(X1,X3)
| ~ arg2(X1,X2)
| ~ prop(X2,schwarz_1_1)
| ~ subr(X1,rprs_0)
| ~ val(X0,nelson_0) ),
inference(resolution,[status(thm)],[f20837,f21192]) ).
fof(f21205,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ2_spl
<=> ( ~ sub(X0,eigenname_1_1)
| ~ rslt(X4,X1)
| ~ pmod(X5,erst_1_1,pr__344sident_1_1)
| ~ subs(X4,w__344hlen_1_2)
| ~ sub(X2,X5)
| ~ obj(X4,X3)
| ~ attr(X3,X0)
| ~ attr(X3,c290)
| ~ arg1(X1,X3)
| ~ arg2(X1,X2)
| ~ prop(X2,schwarz_1_1)
| ~ subr(X1,rprs_0)
| ~ val(X0,nelson_0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ subr(X3,rprs_0)
| ~ obj(X2,X0)
| ~ pmod(X5,erst_1_1,pr__344sident_1_1)
| ~ sub(X1,eigenname_1_1)
| ~ prop(X4,schwarz_1_1)
| ~ subs(X2,w__344hlen_1_2)
| ~ arg1(X3,X0)
| ~ sub(X4,X5)
| ~ arg2(X3,X4)
| ~ val(X1,nelson_0)
| ~ rslt(X2,X3)
| ~ attr(X0,X1)
| ~ attr(X0,c290) ),
inference(component_clause,[status(thm)],[f21205]) ).
fof(f21208,definition,
( sQ3_spl
<=> sub(c290,familiename_1_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21210,plain,
( sQ3_spl
| ~ sub(c290,familiename_1_1) ),
inference(component_clause,[status(thm)],[f21208]) ).
fof(f21211,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21204,f21205,f21208,f21191]) ).
fof(f21367,definition,
( sQ23_spl
<=> subs(c309,w__344hlen_1_2) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f21369,plain,
( sQ23_spl
| ~ subs(c309,w__344hlen_1_2) ),
inference(component_clause,[status(thm)],[f21367]) ).
fof(f22294,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ2_spl
| ~ obj(X0,X4)
| ~ attr(X4,X3)
| ~ val(X3,nelson_0)
| ~ attr(X4,c290)
| ~ rslt(X0,c322)
| ~ sub(X2,X1)
| ~ arg1(c322,X4)
| ~ sub(X3,eigenname_1_1)
| ~ prop(X2,schwarz_1_1)
| ~ arg2(c322,X2)
| ~ pmod(X1,erst_1_1,pr__344sident_1_1)
| ~ subs(X0,w__344hlen_1_2) ),
inference(resolution,[status(thm)],[f20856,f21206]) ).
fof(f22297,definition,
! [X0,X3,X4] :
( sQ119_spl
<=> ( ~ obj(X0,X4)
| ~ attr(X4,X3)
| ~ val(X3,nelson_0)
| ~ attr(X4,c290)
| ~ rslt(X0,c322)
| ~ arg1(c322,X4)
| ~ sub(X3,eigenname_1_1)
| ~ subs(X0,w__344hlen_1_2) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f22298,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| ~ obj(X2,X1)
| ~ arg1(c322,X1)
| ~ rslt(X2,c322)
| ~ attr(X1,X0)
| ~ subs(X2,w__344hlen_1_2)
| ~ val(X0,nelson_0)
| ~ attr(X1,c290)
| ~ sub(X0,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f22297]) ).
fof(f22300,definition,
! [X1,X2] :
( sQ120_spl
<=> ( ~ sub(X2,X1)
| ~ prop(X2,schwarz_1_1)
| ~ arg2(c322,X2)
| ~ pmod(X1,erst_1_1,pr__344sident_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f22301,plain,
! [X0,X1] :
( ~ sQ120_spl
| ~ prop(X0,schwarz_1_1)
| ~ pmod(X1,erst_1_1,pr__344sident_1_1)
| ~ sub(X0,X1)
| ~ arg2(c322,X0) ),
inference(component_clause,[status(thm)],[f22300]) ).
fof(f22303,plain,
( ~ sQ2_spl
| sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f22294,f22297,f22300,f21205]) ).
fof(f22669,plain,
! [X0,X1] :
( ~ sQ119_spl
| ~ obj(X1,c288)
| ~ arg1(c322,c288)
| ~ rslt(X1,c322)
| ~ attr(c288,X0)
| ~ subs(X1,w__344hlen_1_2)
| ~ val(X0,nelson_0)
| ~ sub(X0,eigenname_1_1) ),
inference(resolution,[status(thm)],[f20832,f22298]) ).
fof(f22670,definition,
! [X0] :
( sQ150_spl
<=> ( ~ attr(c288,X0)
| ~ val(X0,nelson_0)
| ~ sub(X0,eigenname_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f22671,plain,
! [X0] :
( ~ sQ150_spl
| ~ val(X0,nelson_0)
| ~ attr(c288,X0)
| ~ sub(X0,eigenname_1_1) ),
inference(component_clause,[status(thm)],[f22670]) ).
fof(f22673,definition,
! [X1] :
( sQ151_spl
<=> ( ~ obj(X1,c288)
| ~ rslt(X1,c322)
| ~ subs(X1,w__344hlen_1_2) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f22674,plain,
! [X0] :
( ~ sQ151_spl
| ~ obj(X0,c288)
| ~ rslt(X0,c322)
| ~ subs(X0,w__344hlen_1_2) ),
inference(component_clause,[status(thm)],[f22673]) ).
fof(f22676,definition,
( sQ152_spl
<=> arg1(c322,c288) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f22678,plain,
( sQ152_spl
| ~ arg1(c322,c288) ),
inference(component_clause,[status(thm)],[f22676]) ).
fof(f22679,plain,
( ~ sQ119_spl
| ~ sQ152_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f22669,f22670,f22673,f22676,f22297]) ).
fof(f22680,plain,
( sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22678,f20854]) ).
fof(f22681,plain,
sQ152_spl,
inference(contradiction_clause,[status(thm)],[f22680]) ).
fof(f22689,plain,
( ~ sQ151_spl
| ~ subs(c309,w__344hlen_1_2)
| ~ obj(c309,c288) ),
inference(resolution,[status(thm)],[f20845,f22674]) ).
fof(f22706,definition,
( sQ157_spl
<=> obj(c309,c288) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f22708,plain,
( sQ157_spl
| ~ obj(c309,c288) ),
inference(component_clause,[status(thm)],[f22706]) ).
fof(f22709,plain,
( ~ sQ151_spl
| ~ sQ23_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f22689,f22706,f21367,f22673]) ).
fof(f22879,plain,
! [X0] :
( ~ sQ1_spl
| ~ attr(X0,c319)
| ~ val(c319,s__374dafrika_0) ),
inference(resolution,[status(thm)],[f20852,f21195]) ).
fof(f22883,definition,
( sQ176_spl
<=> val(c319,s__374dafrika_0) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f22885,plain,
( sQ176_spl
| ~ val(c319,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f22883]) ).
fof(f22886,definition,
! [X0] :
( sQ177_spl
<=> ~ attr(X0,c319) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f22887,plain,
! [X0] :
( ~ sQ177_spl
| ~ attr(X0,c319) ),
inference(component_clause,[status(thm)],[f22886]) ).
fof(f22889,plain,
( ~ sQ1_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f22879,f22883,f22886,f21194]) ).
fof(f22890,plain,
( sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22885,f20853]) ).
fof(f22891,plain,
sQ176_spl,
inference(contradiction_clause,[status(thm)],[f22890]) ).
fof(f22922,plain,
( ~ sQ150_spl
| ~ val(c289,nelson_0)
| ~ attr(c288,c289) ),
inference(resolution,[status(thm)],[f20834,f22671]) ).
fof(f22929,definition,
( sQ180_spl
<=> val(c289,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f22931,plain,
( sQ180_spl
| ~ val(c289,nelson_0) ),
inference(component_clause,[status(thm)],[f22929]) ).
fof(f22933,definition,
( sQ181_spl
<=> attr(c288,c289) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f22935,plain,
( sQ181_spl
| ~ attr(c288,c289) ),
inference(component_clause,[status(thm)],[f22933]) ).
fof(f22936,plain,
( ~ sQ150_spl
| ~ sQ180_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f22922,f22933,f22929,f22670]) ).
fof(f22937,plain,
( sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22935,f20831]) ).
fof(f22938,plain,
sQ181_spl,
inference(contradiction_clause,[status(thm)],[f22937]) ).
fof(f22939,plain,
( sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22931,f20835]) ).
fof(f22940,plain,
sQ180_spl,
inference(contradiction_clause,[status(thm)],[f22939]) ).
fof(f22941,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21369,f20847]) ).
fof(f22942,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f22941]) ).
fof(f23084,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20836,f21210]) ).
fof(f23085,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f23084]) ).
fof(f23240,plain,
( sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20844,f22708]) ).
fof(f23241,plain,
sQ157_spl,
inference(contradiction_clause,[status(thm)],[f23240]) ).
fof(f23470,plain,
( ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20850,f22887]) ).
fof(f23471,plain,
~ sQ177_spl,
inference(contradiction_clause,[status(thm)],[f23470]) ).
fof(f24142,plain,
! [X0] :
( ~ sQ120_spl
| ~ prop(c301,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1)
| ~ sub(c301,X0) ),
inference(resolution,[status(thm)],[f20855,f22301]) ).
fof(f24151,definition,
! [X0] :
( sQ229_spl
<=> ( ~ pmod(X0,erst_1_1,pr__344sident_1_1)
| ~ sub(c301,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f24152,plain,
! [X0] :
( ~ sQ229_spl
| ~ sub(c301,X0)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(component_clause,[status(thm)],[f24151]) ).
fof(f24154,definition,
( sQ230_spl
<=> prop(c301,schwarz_1_1) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f24156,plain,
( sQ230_spl
| ~ prop(c301,schwarz_1_1) ),
inference(component_clause,[status(thm)],[f24154]) ).
fof(f24157,plain,
( ~ sQ120_spl
| ~ sQ230_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f24142,f24151,f24154,f22300]) ).
fof(f24158,plain,
( sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24156,f20840]) ).
fof(f24159,plain,
sQ230_spl,
inference(contradiction_clause,[status(thm)],[f24158]) ).
fof(f24163,plain,
( ~ sQ229_spl
| ~ pmod(c303,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f24152,f20841]) ).
fof(f24164,plain,
( ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24163,f20842]) ).
fof(f24165,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f24164]) ).
fof(f24166,plain,
$false,
inference(sat_refutation,[status(thm)],[f21197,f21211,f22303,f22679,f22681,f22709,f22889,f22891,f22936,f22938,f22940,f22942,f23085,f23241,f23471,f24157,f24159,f24165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+32 : 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 : n018.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 15:12:14 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.23/0.55 % Drodi V4.1.1
% 64.52/8.78 % Refutation found
% 64.52/8.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 64.52/8.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.56/9.07 % Elapsed time: 8.698827 seconds
% 3.56/9.07 % CPU time: 65.501954 seconds
% 3.56/9.07 % Total memory used: 549.134 MB
% 3.56/9.07 % Net memory used: 528.081 MB
%------------------------------------------------------------------------------