%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+34 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Sun Sep 27 07:07:54 AM UTC 2026
% Result : Theorem 2.53s 0.83s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 568 ( 0 equ)
% Maximal formula atoms : 264 ( 8 avg)
% Number of connectives : 692 ( 190 ~; 175 |; 325 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 264 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-8 aty)
% Number of functors : 71 ( 71 usr; 67 con; 0-3 aty)
% Number of variables : 134 ( 18 sgn 50 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(attr_name_hei__337en_1_1,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('theBenchmark.p',attr_name_hei__337en_1_1) ).
fof(hei__337en_1_1__bezeichnen_1_1_als,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('theBenchmark.p',hei__337en_1_1__bezeichnen_1_1_als) ).
fof(ave07_era5_synth_qa07_010_mira_wp_712,axiom,
( varia(c275,varia_c)
& refer(c275,refer_c)
& quant(c275,quant_c)
& gener(c275,gener_c)
& fact(c275,real)
& etype(c275,etype_c)
& card(c275,card_c)
& sort(c275,ent)
& sort(mandela_0,fe)
& 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(c212,varia_c)
& refer(c212,indet)
& quant(c212,one)
& gener(c212,sp)
& fact(c212,real)
& etype(c212,int0)
& card(c212,int1)
& sort(c212,na)
& varia(c211,varia_c)
& refer(c211,indet)
& quant(c211,one)
& gener(c211,sp)
& fact(c211,real)
& etype(c211,int0)
& card(c211,int1)
& sort(c211,na)
& 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(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(c207,varia_c)
& refer(c207,indet)
& quant(c207,one)
& gener(c207,sp)
& fact(c207,real)
& etype(c207,int0)
& card(c207,int1)
& sort(c207,na)
& varia(c210,con)
& refer(c210,det)
& quant(c210,one)
& gener(c210,sp)
& fact(c210,real)
& etype(c210,int0)
& card(c210,int1)
& sort(c210,d)
& varia(c206,con)
& refer(c206,det)
& quant(c206,one)
& gener(c206,sp)
& fact(c206,real)
& etype(c206,int0)
& card(c206,int1)
& sort(c206,io)
& sort(c206,d)
& 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(c200,con)
& refer(c200,det)
& quant(c200,one)
& gener(c200,sp)
& fact(c200,real)
& etype(c200,int0)
& card(c200,int1)
& sort(c200,d)
& card(c195,int1998)
& sort(c195,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(c199,varia_c)
& refer(c199,refer_c)
& quant(c199,quant_c)
& gener(c199,sp)
& fact(c199,real)
& etype(c199,etype_c)
& card(c199,card_c)
& sort(c199,ta)
& sort(c199,oa)
& sort(c199,me)
& varia(c198,con)
& refer(c198,det)
& quant(c198,one)
& gener(c198,sp)
& fact(c198,real)
& etype(c198,int0)
& card(c198,int1)
& sort(c198,t)
& varia(c194,varia_c)
& refer(c194,indet)
& quant(c194,one)
& gener(c194,sp)
& fact(c194,real)
& etype(c194,int0)
& card(c194,int1)
& sort(c194,na)
& varia(c193,con)
& refer(c193,det)
& quant(c193,one)
& gener(c193,sp)
& fact(c193,real)
& etype(c193,int0)
& card(c193,int1)
& sort(c193,d)
& varia(frau_1_1,varia_c)
& refer(frau_1_1,refer_c)
& quant(frau_1_1,one)
& gener(frau_1_1,ge)
& fact(frau_1_1,real)
& etype(frau_1_1,int0)
& card(frau_1_1,int1)
& sort(frau_1_1,d)
& card(zweit_1_1,int2)
& sort(zweit_1_1,oq)
& varia(gra__347a_1_1,varia_c)
& refer(gra__347a_1_1,refer_c)
& quant(gra__347a_1_1,one)
& gener(gra__347a_1_1,ge)
& fact(gra__347a_1_1,real)
& etype(gra__347a_1_1,int0)
& card(gra__347a_1_1,int1)
& sort(gra__347a_1_1,o)
& varia(c185,varia_c)
& refer(c185,refer_c)
& quant(c185,one)
& gener(c185,gener_c)
& fact(c185,real)
& etype(c185,int0)
& card(c185,int1)
& sort(c185,o)
& varia(c186,varia_c)
& refer(c186,refer_c)
& quant(c186,one)
& gener(c186,ge)
& fact(c186,real)
& etype(c186,int0)
& card(c186,int1)
& sort(c186,d)
& sort(machel_0,fe)
& varia(c182,varia_c)
& refer(c182,indet)
& quant(c182,one)
& gener(c182,sp)
& fact(c182,real)
& etype(c182,int0)
& card(c182,int1)
& sort(c182,na)
& varia(c183,varia_c)
& refer(c183,det)
& quant(c183,one)
& gener(c183,sp)
& fact(c183,real)
& etype(c183,int0)
& card(c183,int1)
& sort(c183,d)
& varia(c181,con)
& refer(c181,det)
& quant(c181,one)
& gener(c181,sp)
& fact(c181,real)
& etype(c181,int0)
& card(c181,int1)
& sort(c181,d)
& sort(samora_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)
& 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(c178,varia_c)
& refer(c178,indet)
& quant(c178,one)
& gener(c178,sp)
& fact(c178,real)
& etype(c178,int0)
& card(c178,int1)
& sort(c178,na)
& varia(c177,con)
& refer(c177,det)
& quant(c177,one)
& gener(c177,sp)
& fact(c177,real)
& etype(c177,int0)
& card(c177,int1)
& sort(c177,d)
& tupl_p8(c275,c177,c183,c185,c193,c198,c200,c210)
& val(c212,mandela_0)
& sub(c212,familiename_1_1)
& val(c211,nelson_0)
& sub(c211,eigenname_1_1)
& sub(c210,mensch_1_1)
& attr(c210,c212)
& attr(c210,c211)
& val(c207,s__374dafrika_0)
& sub(c207,name_1_1)
& sub(c206,land_1_1)
& attr(c206,c207)
& attch(c206,c210)
& sub(c200,pr__344sident_1_1)
& val(c199,c195)
& sub(c199,jahr__1_1)
& attr(c198,c199)
& val(c194,machel_0)
& sub(c194,familiename_1_1)
& sub(c193,mensch_1_1)
& attr(c193,c194)
& pmod(c186,zweit_1_1,frau_1_1)
& sub(c185,gra__347a_1_1)
& sub(c183,c186)
& val(c182,machel_0)
& sub(c182,familiename_1_1)
& sub(c181,mensch_1_1)
& attr(c181,c182)
& attch(c181,c183)
& val(c178,samora_0)
& sub(c178,familiename_1_1)
& sub(c177,mensch_1_1)
& attr(c177,c178) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_712) ).
fof(synth_qa07_010_mira_wp_712,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)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
file('theBenchmark.p',synth_qa07_010_mira_wp_712) ).
fof(synth_qa07_010_mira_wp_712_neg,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)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_wp_712]) ).
cnf(c_156,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_37,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(fof_nnf,[status(thm)],[attr_name_hei__337en_1_1]) ).
fof(sk_attr_name_hei__337en_1_1_sk,plain,
! [X0,X1,X2] :
( ( subs(sK0(X0,X1,X2),hei__337en_1_1)
& arg2(sK0(X0,X1,X2),X2)
& arg1(sK0(X0,X1,X2),X2) )
| ~ 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,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_37]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_1,VAR_2,VAR_0),hei__337en_1_1)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name_hei__337en_1_1_sk]) ).
cnf(c_227,plain,
( arg1(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_228,plain,
( arg2(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_229,plain,
( subs(sK0(B,C,A),hei__337en_1_1)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
fof(nnf_38,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(fof_nnf,[status(thm)],[hei__337en_1_1__bezeichnen_1_1_als]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als_sk,plain,
! [X0,X1,X2] :
( ( subs(sK2(X0,X1,X2),bezeichnen_1_1)
& subr(sK1(X0,X1,X2),rprs_0)
& obj(sK2(X0,X1,X2),X1)
& mcont(sK2(X0,X1,X2),sK1(X0,X1,X2))
& hsit(X0,sK2(X0,X1,X2))
& arg2(sK1(X0,X1,X2),X2)
& arg1(sK1(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2))],[nnf_38]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK2(VAR_0,VAR_1,VAR_2),bezeichnen_1_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( subr(sK1(VAR_0,VAR_1,VAR_2),rprs_0)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK2(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK2(VAR_0,VAR_1,VAR_2),sK1(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( hsit(VAR_0,sK2(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK1(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK1(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als_sk]) ).
cnf(c_230,plain,
( arg1(sK1(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_231,plain,
( arg2(sK1(A,B,C),C)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_234,plain,
( obj(sK2(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_235,plain,
( subr(sK1(A,B,C),rprs_0)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_289,plain,
attr(c206,c207),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_291,plain,
sub(c207,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_292,plain,
val(c207,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_293,plain,
attr(c210,c211),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_294,plain,
attr(c210,c212),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_295,plain,
sub(c210,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_296,plain,
sub(c211,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_297,plain,
val(c211,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_298,plain,
sub(c212,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_299,plain,
val(c212,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_712]) ).
cnf(c_532,negated_conjecture,
( ~ val(V6,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(V6,name_1_1)
| ~ sub(C,V8)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ obj(V7,B)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_wp_712_neg]) ).
cnf(c_1355,plain,
( arg1(sK0(c211,A,c210),c210)
| ~ sub(c211,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_227,c_293]) ).
cnf(c_1356,plain,
( arg1(sK0(c211,eigenname_1_1,c210),c210)
| ~ sub(c211,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1355,c_156]) ).
cnf(c_690,plain,
arg1(sK0(c211,eigenname_1_1,c210),c210),
inference(resolve,[status(thm)],[c_1356,c_296]) ).
cnf(c_1357,plain,
( arg2(sK0(c211,A,c210),c210)
| ~ sub(c211,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_228,c_293]) ).
cnf(c_1358,plain,
( arg2(sK0(c211,eigenname_1_1,c210),c210)
| ~ sub(c211,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1357,c_156]) ).
cnf(c_691,plain,
arg2(sK0(c211,eigenname_1_1,c210),c210),
inference(resolve,[status(thm)],[c_1358,c_296]) ).
cnf(c_1359,plain,
( subs(sK0(c211,A,c210),hei__337en_1_1)
| ~ sub(c211,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_229,c_293]) ).
cnf(c_1360,plain,
( subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1)
| ~ sub(c211,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1359,c_156]) ).
cnf(c_701,plain,
subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1360,c_296]) ).
cnf(c_1361,plain,
( subr(sK1(sK0(c211,eigenname_1_1,c210),c210,A),rprs_0)
| ~ subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1)
| ~ arg2(sK0(c211,eigenname_1_1,c210),A) ),
inference(resolve,[status(thm)],[c_235,c_690]) ).
cnf(c_1362,plain,
( subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1361,c_691]) ).
cnf(c_1089,plain,
subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0),
inference(resolve,[status(thm)],[c_1362,c_701]) ).
cnf(c_1363,plain,
( obj(sK2(sK0(c211,eigenname_1_1,c210),c210,A),c210)
| ~ subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1)
| ~ arg2(sK0(c211,eigenname_1_1,c210),A) ),
inference(resolve,[status(thm)],[c_234,c_690]) ).
cnf(c_1364,plain,
( obj(sK2(sK0(c211,eigenname_1_1,c210),c210,c210),c210)
| ~ subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1363,c_691]) ).
cnf(c_1090,plain,
obj(sK2(sK0(c211,eigenname_1_1,c210),c210,c210),c210),
inference(resolve,[status(thm)],[c_1364,c_701]) ).
cnf(c_1365,plain,
( arg2(sK1(sK0(c211,eigenname_1_1,c210),c210,A),A)
| ~ subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1)
| ~ arg2(sK0(c211,eigenname_1_1,c210),A) ),
inference(resolve,[status(thm)],[c_231,c_690]) ).
cnf(c_1366,plain,
( arg2(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210)
| ~ subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1365,c_691]) ).
cnf(c_1093,plain,
arg2(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210),
inference(resolve,[status(thm)],[c_1366,c_701]) ).
cnf(c_1367,plain,
( arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,A),c210)
| ~ subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1)
| ~ arg2(sK0(c211,eigenname_1_1,c210),A) ),
inference(resolve,[status(thm)],[c_230,c_690]) ).
cnf(c_1368,plain,
( arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210)
| ~ subs(sK0(c211,eigenname_1_1,c210),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1367,c_691]) ).
cnf(c_1094,plain,
arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210),
inference(resolve,[status(thm)],[c_1368,c_701]) ).
cnf(c_1369,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c210,V6)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(F,A)
| ~ attr(D,E)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),A) ),
inference(resolve,[status(thm)],[c_532,c_1093]) ).
cnf(c_1370,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c212,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c210,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c212,familiename_1_1)
| ~ obj(D,c210)
| ~ attr(B,C)
| ~ attr(c210,A)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1369,c_294]) ).
cnf(c_1371,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ val(c212,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c210,D)
| ~ sub(c211,eigenname_1_1)
| ~ sub(c212,familiename_1_1)
| ~ obj(C,c210)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1370,c_293]) ).
cnf(c_1372,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ val(c212,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ sub(c207,name_1_1)
| ~ sub(c210,B)
| ~ sub(c211,eigenname_1_1)
| ~ sub(c212,familiename_1_1)
| ~ obj(A,c210)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1371,c_289]) ).
cnf(c_1373,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ val(c212,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ sub(c207,name_1_1)
| ~ sub(c210,A)
| ~ sub(c211,eigenname_1_1)
| ~ sub(c212,familiename_1_1)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1372,c_1090]) ).
cnf(c_1374,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ val(c212,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ sub(c207,name_1_1)
| ~ sub(c210,A)
| ~ sub(c211,eigenname_1_1)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1373,c_298]) ).
cnf(c_1375,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ val(c212,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ sub(c207,name_1_1)
| ~ sub(c210,A)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1374,c_296]) ).
cnf(c_1376,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ val(c212,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ sub(c207,name_1_1)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1375,c_295]) ).
cnf(c_1377,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ val(c212,mandela_0)
| ~ subr(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),rprs_0)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1376,c_291]) ).
cnf(c_1378,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ val(c212,mandela_0)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1377,c_1089]) ).
cnf(c_1379,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ val(c211,nelson_0)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1378,c_299]) ).
cnf(c_1380,negated_conjecture,
( ~ val(c207,s__374dafrika_0)
| ~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210) ),
inference(resolve,[status(thm)],[c_1379,c_297]) ).
cnf(c_1381,negated_conjecture,
~ arg1(sK1(sK0(c211,eigenname_1_1,c210),c210,c210),c210),
inference(resolve,[status(thm)],[c_1380,c_292]) ).
cnf(c_1354,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1094,c_1381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+34 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 01:13:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 910341 was started by sandbox2 on n007,
% 0.09/0.38 % Sun Sep 27 01:13:10 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.53/0.83
% 2.53/0.83 % SInE (scan): 90 to sos (tol 1.5x), 27 to usable (tol 2.0x), 10071 zapped, of 10188 axioms (depth 3).
% 2.53/0.83
% 2.53/0.83 % From the command line: assign(max_seconds, 300).
% 2.53/0.83
% 2.53/0.83 % given #500 (A,wt=5): 655 has_gener_leq(c182,sp). [ur(158,a,354,a)].
% 2.53/0.83
% 2.53/0.83 % SZS status Theorem for theBenchmark
% 2.53/0.83
% 2.53/0.83 % Proof 1 at 0.23 (+ 0.05) seconds.
% 2.53/0.83 % Length of proof is 32.
% 2.53/0.83 % Level of proof is 4.
% 2.53/0.83 % Maximum clause weight is 109.000.
% 2.53/0.83 % Given clauses 977.
% 2.53/0.83
% 2.53/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------