%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+4 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:07:56 AM UTC 2026
% Result : Theorem 0.15s 5.74s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 491 ( 0 equ)
% Maximal formula atoms : 187 ( 7 avg)
% Number of connectives : 615 ( 190 ~; 175 |; 248 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 187 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-6 aty)
% Number of functors : 55 ( 55 usr; 51 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_news_1604,axiom,
( varia(leute_1_1,varia_c)
& refer(leute_1_1,refer_c)
& quant(leute_1_1,one)
& gener(leute_1_1,ge)
& fact(leute_1_1,real)
& etype(leute_1_1,int0)
& card(leute_1_1,int1)
& sort(leute_1_1,d)
& varia(land_2_1,varia_c)
& refer(land_2_1,refer_c)
& quant(land_2_1,one)
& gener(land_2_1,ge)
& fact(land_2_1,real)
& etype(land_2_1,int0)
& card(land_2_1,int1)
& sort(land_2_1,d)
& varia(c451,varia_c)
& refer(c451,refer_c)
& quant(c451,quant_c)
& gener(c451,gener_c)
& fact(c451,real)
& etype(c451,etype_c)
& card(c451,card_c)
& sort(c451,ent)
& varia(gehaltsangabe_1_1,varia_c)
& refer(gehaltsangabe_1_1,refer_c)
& quant(gehaltsangabe_1_1,one)
& gener(gehaltsangabe_1_1,ge)
& fact(gehaltsangabe_1_1,real)
& etype(gehaltsangabe_1_1,int0)
& card(gehaltsangabe_1_1,int1)
& sort(gehaltsangabe_1_1,io)
& sort(gehaltsangabe_1_1,d)
& varia(c324,varia_c)
& refer(c324,refer_c)
& quant(c324,one)
& gener(c324,gener_c)
& fact(c324,real)
& etype(c324,int0)
& card(c324,int1)
& sort(c324,io)
& sort(c324,d)
& varia(landesleute_1_1,varia_c)
& refer(landesleute_1_1,refer_c)
& quant(landesleute_1_1,one)
& gener(landesleute_1_1,ge)
& fact(landesleute_1_1,real)
& etype(landesleute_1_1,int0)
& card(landesleute_1_1,int1)
& sort(landesleute_1_1,d)
& varia(c322,con)
& refer(c322,det)
& quant(c322,all)
& gener(c322,gener_c)
& fact(c322,real)
& etype(c322,int1)
& card(c322,cons(x_constant,cons(int1,nil)))
& sort(c322,d)
& sort(zukunft_in_w__374rde_und_vertrauen_0,fe)
& varia(c316,varia_c)
& refer(c316,refer_c)
& quant(c316,one)
& gener(c316,gener_c)
& fact(c316,real)
& etype(c316,int0)
& card(c316,int1)
& sort(c316,o)
& 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(c306,varia_c)
& refer(c306,indet)
& quant(c306,one)
& gener(c306,sp)
& fact(c306,real)
& etype(c306,int0)
& card(c306,int1)
& sort(c306,na)
& varia(c305,con)
& refer(c305,det)
& quant(c305,one)
& gener(c305,sp)
& fact(c305,real)
& etype(c305,int0)
& card(c305,int1)
& sort(c305,io)
& sort(c305,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(c295,con)
& refer(c295,det)
& quant(c295,one)
& gener(c295,sp)
& fact(c295,real)
& etype(c295,int0)
& card(c295,int1)
& sort(c295,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(c292,varia_c)
& refer(c292,indet)
& quant(c292,one)
& gener(c292,sp)
& fact(c292,real)
& etype(c292,int0)
& card(c292,int1)
& sort(c292,na)
& varia(c291,varia_c)
& refer(c291,indet)
& quant(c291,one)
& gener(c291,sp)
& fact(c291,real)
& etype(c291,int0)
& card(c291,int1)
& sort(c291,na)
& varia(c290,con)
& refer(c290,det)
& quant(c290,one)
& gener(c290,sp)
& fact(c290,real)
& etype(c290,int0)
& card(c290,int1)
& sort(c290,d)
& sub(landesleute_1_1,leute_1_1)
& assoc(landesleute_1_1,land_2_1)
& tupl_p6(c451,c290,c295,c316,c322,c324)
& sub(c324,gehaltsangabe_1_1)
& pred(c322,landesleute_1_1)
& name(c316,zukunft_in_w__374rde_und_vertrauen_0)
& val(c306,s__374dafrika_0)
& sub(c306,name_1_1)
& sub(c305,land_1_1)
& attr(c305,c306)
& attch(c305,c295)
& sub(c295,pr__344sident_1_1)
& val(c292,mandela_0)
& sub(c292,familiename_1_1)
& val(c291,nelson_0)
& sub(c291,eigenname_1_1)
& sub(c290,mensch_1_1)
& attr(c290,c292)
& attr(c290,c291) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1604) ).
fof(synth_qa07_010_mira_news_1604,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_news_1604) ).
fof(synth_qa07_010_mira_news_1604_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_news_1604]) ).
cnf(c_152,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_38,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_38]) ).
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_213,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_214,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_215,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_39,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_39]) ).
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_216,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_217,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_220,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_221,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_250,plain,
attr(c290,c291),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_251,plain,
attr(c290,c292),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_252,plain,
sub(c290,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_253,plain,
sub(c291,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_254,plain,
val(c291,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_255,plain,
sub(c292,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_256,plain,
val(c292,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_259,plain,
attr(c305,c306),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_261,plain,
sub(c306,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_262,plain,
val(c306,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1604]) ).
cnf(c_437,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_news_1604_neg]) ).
cnf(c_995,plain,
( arg1(sK0(c291,A,c290),c290)
| ~ sub(c291,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_213,c_250]) ).
cnf(c_996,plain,
( arg1(sK0(c291,eigenname_1_1,c290),c290)
| ~ sub(c291,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_995,c_152]) ).
cnf(c_610,plain,
arg1(sK0(c291,eigenname_1_1,c290),c290),
inference(resolve,[status(thm)],[c_996,c_253]) ).
cnf(c_997,plain,
( arg2(sK0(c291,A,c290),c290)
| ~ sub(c291,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_214,c_250]) ).
cnf(c_998,plain,
( arg2(sK0(c291,eigenname_1_1,c290),c290)
| ~ sub(c291,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_997,c_152]) ).
cnf(c_611,plain,
arg2(sK0(c291,eigenname_1_1,c290),c290),
inference(resolve,[status(thm)],[c_998,c_253]) ).
cnf(c_999,plain,
( subs(sK0(c291,A,c290),hei__337en_1_1)
| ~ sub(c291,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_215,c_250]) ).
cnf(c_1000,plain,
( subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1)
| ~ sub(c291,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_999,c_152]) ).
cnf(c_620,plain,
subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1000,c_253]) ).
cnf(c_1001,plain,
( subr(sK1(sK0(c291,eigenname_1_1,c290),c290,A),rprs_0)
| ~ subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1)
| ~ arg2(sK0(c291,eigenname_1_1,c290),A) ),
inference(resolve,[status(thm)],[c_221,c_610]) ).
cnf(c_1002,plain,
( subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1001,c_611]) ).
cnf(c_822,plain,
subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0),
inference(resolve,[status(thm)],[c_1002,c_620]) ).
cnf(c_1003,plain,
( obj(sK2(sK0(c291,eigenname_1_1,c290),c290,A),c290)
| ~ subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1)
| ~ arg2(sK0(c291,eigenname_1_1,c290),A) ),
inference(resolve,[status(thm)],[c_220,c_610]) ).
cnf(c_1004,plain,
( obj(sK2(sK0(c291,eigenname_1_1,c290),c290,c290),c290)
| ~ subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1003,c_611]) ).
cnf(c_823,plain,
obj(sK2(sK0(c291,eigenname_1_1,c290),c290,c290),c290),
inference(resolve,[status(thm)],[c_1004,c_620]) ).
cnf(c_1005,plain,
( arg2(sK1(sK0(c291,eigenname_1_1,c290),c290,A),A)
| ~ subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1)
| ~ arg2(sK0(c291,eigenname_1_1,c290),A) ),
inference(resolve,[status(thm)],[c_217,c_610]) ).
cnf(c_1006,plain,
( arg2(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290)
| ~ subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1005,c_611]) ).
cnf(c_826,plain,
arg2(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290),
inference(resolve,[status(thm)],[c_1006,c_620]) ).
cnf(c_1007,plain,
( arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,A),c290)
| ~ subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1)
| ~ arg2(sK0(c291,eigenname_1_1,c290),A) ),
inference(resolve,[status(thm)],[c_216,c_610]) ).
cnf(c_1008,plain,
( arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290)
| ~ subs(sK0(c291,eigenname_1_1,c290),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1007,c_611]) ).
cnf(c_827,plain,
arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290),
inference(resolve,[status(thm)],[c_1008,c_620]) ).
cnf(c_1009,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c290,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(c291,eigenname_1_1,c290),c290,c290),A) ),
inference(resolve,[status(thm)],[c_437,c_826]) ).
cnf(c_1010,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c292,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c290,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c292,familiename_1_1)
| ~ obj(D,c290)
| ~ attr(B,C)
| ~ attr(c290,A)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1009,c_251]) ).
cnf(c_1011,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ val(c292,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c290,D)
| ~ sub(c291,eigenname_1_1)
| ~ sub(c292,familiename_1_1)
| ~ obj(C,c290)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1010,c_250]) ).
cnf(c_1012,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ val(c292,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ sub(c306,name_1_1)
| ~ sub(c290,B)
| ~ sub(c291,eigenname_1_1)
| ~ sub(c292,familiename_1_1)
| ~ obj(A,c290)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1011,c_259]) ).
cnf(c_1013,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ val(c292,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ sub(c306,name_1_1)
| ~ sub(c290,A)
| ~ sub(c291,eigenname_1_1)
| ~ sub(c292,familiename_1_1)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1012,c_823]) ).
cnf(c_1014,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ val(c292,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ sub(c306,name_1_1)
| ~ sub(c290,A)
| ~ sub(c291,eigenname_1_1)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1013,c_255]) ).
cnf(c_1015,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ val(c292,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ sub(c306,name_1_1)
| ~ sub(c290,A)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1014,c_253]) ).
cnf(c_1016,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ val(c292,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ sub(c306,name_1_1)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1015,c_252]) ).
cnf(c_1017,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ val(c292,mandela_0)
| ~ subr(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),rprs_0)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1016,c_261]) ).
cnf(c_1018,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ val(c292,mandela_0)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1017,c_822]) ).
cnf(c_1019,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ val(c291,nelson_0)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1018,c_256]) ).
cnf(c_1020,negated_conjecture,
( ~ val(c306,s__374dafrika_0)
| ~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290) ),
inference(resolve,[status(thm)],[c_1019,c_254]) ).
cnf(c_1021,negated_conjecture,
~ arg1(sK1(sK0(c291,eigenname_1_1,c290),c290,c290),c290),
inference(resolve,[status(thm)],[c_1020,c_262]) ).
cnf(c_994,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_827,c_1021]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n003.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 27 01:17:45 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.38 % Process 4183029 was started by sandbox2 on n003,
% 0.09/5.38 % Sun Sep 27 01:17:45 2026
% 0.09/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/5.74
% 0.15/5.74 % SInE (scan): 78 to sos (tol 1.5x), 26 to usable (tol 2.0x), 10084 zapped, of 10188 axioms (depth 3).
% 0.15/5.74
% 0.15/5.74 % From the command line: assign(max_seconds, 300).
% 0.15/5.74
% 0.15/5.74 % given #500 (A,wt=5): 650 has_etype_leq(c322,etype_c). [ur(74,a,381,a)].
% 0.15/5.74
% 0.15/5.74 % SZS status Theorem for theBenchmark
% 0.15/5.74
% 0.15/5.74 % Proof 1 at 0.14 (+ 0.04) seconds.
% 0.15/5.74 % Length of proof is 32.
% 0.15/5.74 % Level of proof is 4.
% 0.15/5.74 % Maximum clause weight is 44.000.
% 0.15/5.74 % Given clauses 711.
% 0.15/5.74
% 0.15/5.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------