%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+33 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 82.15s 10.88s
% Output : CNFRefutation 82.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of formulae : 40 ( 19 unt; 0 def)
% Number of atoms : 470 ( 0 equ)
% Maximal formula atoms : 231 ( 11 avg)
% Number of connectives : 618 ( 188 ~; 168 |; 262 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 231 ( 15 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 60 ( 60 usr; 59 con; 0-2 aty)
% Number of variables : 130 ( 110 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
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)
& subs(X8,w__344hlen_1_2)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X8,X3)
& 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)
& subs(X8,w__344hlen_1_2)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& rslt(X8,X3)
& 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(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)
& varia(gewinn_2_1,varia_c)
& refer(gewinn_2_1,refer_c)
& quant(gewinn_2_1,one)
& gener(gewinn_2_1,ge)
& fact(gewinn_2_1,real)
& etype(gewinn_2_1,int0)
& card(gewinn_2_1,int1)
& sort(gewinn_2_1,ad)
& varia(c7,con)
& refer(c7,det)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,ad)
& gener(rprs_0,gener_c)
& fact(rprs_0,real)
& sort(rprs_0,st)
& gener(w__344hlen_1_2,ge)
& fact(w__344hlen_1_2,real)
& sort(w__344hlen_1_2,da)
& gener(c55,sp)
& fact(c55,real)
& sort(c55,st)
& gener(c43,sp)
& fact(c43,real)
& sort(c43,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(c38,con)
& refer(c38,det)
& quant(c38,one)
& gener(c38,sp)
& fact(c38,real)
& etype(c38,int0)
& card(c38,int1)
& sort(c38,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(c35,varia_c)
& refer(c35,indet)
& quant(c35,one)
& gener(c35,sp)
& fact(c35,real)
& etype(c35,int0)
& card(c35,int1)
& sort(c35,na)
& varia(c34,varia_c)
& refer(c34,indet)
& quant(c34,one)
& gener(c34,sp)
& fact(c34,real)
& etype(c34,int0)
& card(c34,int1)
& sort(c34,na)
& varia(c33,con)
& refer(c33,det)
& quant(c33,one)
& gener(c33,sp)
& fact(c33,real)
& etype(c33,int0)
& card(c33,int1)
& sort(c33,d)
& 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(c29,varia_c)
& refer(c29,indet)
& quant(c29,one)
& gener(c29,sp)
& fact(c29,real)
& etype(c29,int0)
& card(c29,int1)
& sort(c29,na)
& varia(c28,con)
& refer(c28,det)
& quant(c28,one)
& gener(c28,sp)
& fact(c28,real)
& etype(c28,int0)
& card(c28,int1)
& sort(c28,io)
& sort(c28,d)
& 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(c54,con)
& refer(c54,det)
& quant(c54,one)
& gener(c54,sp)
& fact(c54,real)
& etype(c54,int0)
& card(c54,int1)
& sort(c54,l)
& 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(c14,varia_c)
& refer(c14,indet)
& quant(c14,one)
& gener(c14,sp)
& fact(c14,real)
& etype(c14,int0)
& card(c14,int1)
& sort(c14,na)
& varia(c13,con)
& refer(c13,det)
& quant(c13,one)
& gener(c13,sp)
& fact(c13,real)
& etype(c13,int1)
& card(c13,int1)
& sort(c13,io)
& sort(c13,d)
& assoc(demokratisch__1_1,demokratie__1_1)
& subs(c7,gewinn_2_1)
& exp(c7,c13)
& circ(c7,c20)
& ante(c7,c43)
& subr(c55,rprs_0)
& arg2(c55,c38)
& arg1(c55,c33)
& in(c54,c28)
& subs(c43,w__344hlen_1_2)
& rslt(c43,c55)
& obj(c43,c33)
& sub(c38,pr__344sident_1_1)
& val(c35,mandela_0)
& sub(c35,familiename_1_1)
& val(c34,nelson_0)
& sub(c34,eigenname_1_1)
& sub(c33,mensch_1_1)
& attr(c33,c35)
& attr(c33,c34)
& val(c29,s__374dafrika_0)
& sub(c29,name_1_1)
& sub(c28,land_1_1)
& attr(c28,c29)
& pmod(c22,erst_1_1,wahl_1_1)
& prop(c20,demokratisch__1_1)
& preds(c20,c22)
& loc(c20,c54)
& val(c14,anc_0)
& sub(c14,name_1_1)
& sub(c13,einrichtung_1_2)
& attr(c13,c14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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)
| ~ subs(X8,w__344hlen_1_2)
| ~ subr(X3,rprs_0)
| ~ sub(X7,name_1_1)
| ~ sub(X4,X9)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ rslt(X8,X3)
| ~ 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)
| ! [X8] :
( ~ subs(X8,w__344hlen_1_2)
| ! [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)
| ~ rslt(X8,X3)
| ! [X0] :
( ~ 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] :
( ~ attr(X8,X0)
| ~ val(X6,nelson_0)
| ~ arg1(X3,X8)
| ~ sub(X1,name_1_1)
| ~ subs(X2,w__344hlen_1_2)
| ~ obj(X2,X8)
| ~ sub(X7,X9)
| ~ attr(X5,X1)
| ~ attr(X8,X6)
| ~ arg2(X3,X7)
| ~ sub(X6,eigenname_1_1)
| ~ subr(X3,rprs_0)
| ~ val(X0,mandela_0)
| ~ in(X4,X5)
| ~ rslt(X2,X3)
| ~ val(X1,s__374dafrika_0)
| ~ sub(X0,familiename_1_1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20826,plain,
attr(c28,c29),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
sub(c29,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
val(c29,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
attr(c33,c34),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20831,plain,
attr(c33,c35),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
sub(c34,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
val(c34,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20835,plain,
sub(c35,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20836,plain,
val(c35,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20837,plain,
sub(c38,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20838,plain,
obj(c43,c33),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20839,plain,
rslt(c43,c55),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20840,plain,
subs(c43,w__344hlen_1_2),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20841,plain,
in(c54,c28),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20842,plain,
arg1(c55,c33),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20843,plain,
arg2(c55,c38),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20844,plain,
subr(c55,rprs_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21084,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X4,nelson_0)
| ~ rslt(X5,X2)
| ~ in(X8,X0)
| ~ arg2(X2,X6)
| ~ sub(X4,eigenname_1_1)
| ~ obj(X5,X3)
| ~ sub(X6,X7)
| ~ subs(X5,w__344hlen_1_2)
| ~ attr(X3,c35)
| ~ sub(c35,familiename_1_1)
| ~ attr(X3,X4)
| ~ val(X1,s__374dafrika_0)
| ~ arg1(X2,X3)
| ~ sub(X1,name_1_1)
| ~ subr(X2,rprs_0)
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f20836,f20817]) ).
fof(f21100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ obj(X5,X2)
| ~ in(X8,X6)
| ~ val(X7,s__374dafrika_0)
| ~ subr(X0,rprs_0)
| ~ attr(X2,X3)
| ~ sub(X7,name_1_1)
| ~ rslt(X5,X0)
| ~ attr(X6,X7)
| ~ attr(X2,c35)
| ~ sub(X3,eigenname_1_1)
| ~ subs(X5,w__344hlen_1_2)
| ~ sub(X1,X4)
| ~ val(X3,nelson_0)
| ~ arg1(X0,X2)
| ~ arg2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f21084,f20835]) ).
fof(f21102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ obj(X5,X2)
| ~ in(X7,X6)
| ~ subr(X0,rprs_0)
| ~ attr(X2,X3)
| ~ sub(c29,name_1_1)
| ~ rslt(X5,X0)
| ~ attr(X6,c29)
| ~ attr(X2,c35)
| ~ sub(X3,eigenname_1_1)
| ~ subs(X5,w__344hlen_1_2)
| ~ sub(X1,X4)
| ~ val(X3,nelson_0)
| ~ arg1(X0,X2)
| ~ arg2(X0,X1) ),
inference(resolution,[status(thm)],[f21100,f20829]) ).
fof(f21103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ attr(X5,c29)
| ~ arg2(X3,X6)
| ~ subr(X3,rprs_0)
| ~ sub(X6,X7)
| ~ subs(X2,w__344hlen_1_2)
| ~ in(X4,X5)
| ~ sub(X1,eigenname_1_1)
| ~ attr(X0,c35)
| ~ arg1(X3,X0)
| ~ rslt(X2,X3)
| ~ obj(X2,X0)
| ~ val(X1,nelson_0)
| ~ attr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f21102,f20828]) ).
fof(f21104,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ in(X6,X2)
| ~ sub(X5,eigenname_1_1)
| ~ arg2(c55,X3)
| ~ val(X5,nelson_0)
| ~ arg1(c55,X1)
| ~ rslt(X0,c55)
| ~ attr(X1,X5)
| ~ obj(X0,X1)
| ~ sub(X3,X4)
| ~ attr(X2,c29)
| ~ attr(X1,c35)
| ~ subs(X0,w__344hlen_1_2) ),
inference(resolution,[status(thm)],[f21103,f20844]) ).
fof(f21338,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ in(X5,X1)
| ~ sub(X4,eigenname_1_1)
| ~ arg2(c55,X2)
| ~ val(X4,nelson_0)
| ~ rslt(X0,c55)
| ~ attr(c33,X4)
| ~ obj(X0,c33)
| ~ sub(X2,X3)
| ~ attr(X1,c29)
| ~ attr(c33,c35)
| ~ subs(X0,w__344hlen_1_2) ),
inference(resolution,[status(thm)],[f20842,f21104]) ).
fof(f21343,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ subs(X0,w__344hlen_1_2)
| ~ arg2(c55,X3)
| ~ attr(c33,X2)
| ~ in(X5,X1)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X3,X4)
| ~ val(X2,nelson_0)
| ~ attr(X1,c29)
| ~ rslt(X0,c55)
| ~ obj(X0,c33) ),
inference(forward_subsumption_resolution,[status(thm)],[f21338,f20831]) ).
fof(f21344,plain,
! [X0,X1,X2,X3,X4] :
( ~ subs(X0,w__344hlen_1_2)
| ~ arg2(c55,X2)
| ~ attr(c33,c34)
| ~ in(X4,X1)
| ~ sub(c34,eigenname_1_1)
| ~ sub(X2,X3)
| ~ attr(X1,c29)
| ~ rslt(X0,c55)
| ~ obj(X0,c33) ),
inference(resolution,[status(thm)],[f21343,f20834]) ).
fof(f21346,plain,
! [X0,X1,X2,X3,X4] :
( ~ obj(X0,c33)
| ~ attr(X4,c29)
| ~ in(X3,X4)
| ~ sub(X1,X2)
| ~ rslt(X0,c55)
| ~ arg2(c55,X1)
| ~ subs(X0,w__344hlen_1_2)
| ~ attr(c33,c34) ),
inference(forward_subsumption_resolution,[status(thm)],[f21344,f20833]) ).
fof(f21347,plain,
! [X0,X1,X2,X3,X4] :
( ~ rslt(X0,c55)
| ~ in(X4,X3)
| ~ attr(X3,c29)
| ~ obj(X0,c33)
| ~ sub(X1,X2)
| ~ arg2(c55,X1)
| ~ subs(X0,w__344hlen_1_2) ),
inference(forward_subsumption_resolution,[status(thm)],[f21346,f20830]) ).
fof(f21348,plain,
! [X0,X1,X2,X3] :
( ~ subs(X3,w__344hlen_1_2)
| ~ rslt(X3,c55)
| ~ obj(X3,c33)
| ~ sub(c38,X2)
| ~ in(X1,X0)
| ~ attr(X0,c29) ),
inference(resolution,[status(thm)],[f21347,f20843]) ).
fof(f21349,plain,
! [X0,X1,X2] :
( ~ sub(c38,X2)
| ~ in(X1,c28)
| ~ obj(X0,c33)
| ~ subs(X0,w__344hlen_1_2)
| ~ rslt(X0,c55) ),
inference(resolution,[status(thm)],[f21348,f20826]) ).
fof(f21350,plain,
! [X0,X1] :
( ~ rslt(X1,c55)
| ~ obj(X1,c33)
| ~ subs(X1,w__344hlen_1_2)
| ~ sub(c38,X0) ),
inference(resolution,[status(thm)],[f21349,f20841]) ).
fof(f21352,plain,
! [X0] :
( ~ obj(c43,c33)
| ~ subs(c43,w__344hlen_1_2)
| ~ sub(c38,X0) ),
inference(resolution,[status(thm)],[f21350,f20839]) ).
fof(f21355,plain,
! [X0] :
( ~ obj(c43,c33)
| ~ sub(c38,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21352,f20840]) ).
fof(f21361,plain,
! [X0] : ~ sub(c38,X0),
inference(forward_subsumption_resolution,[status(thm)],[f21355,f20838]) ).
fof(f21362,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20837,f21361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+33 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 15:12:14 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.44 % Drodi V4.1.1
% 82.15/10.88 % Refutation found
% 82.15/10.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 82.15/10.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.75/11.37 % Elapsed time: 10.984712 seconds
% 5.75/11.37 % CPU time: 83.367640 seconds
% 5.75/11.37 % Total memory used: 607.892 MB
% 5.75/11.37 % Net memory used: 575.427 MB
%------------------------------------------------------------------------------