%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+9 : 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 : n012.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 07:07:57 AM UTC 2026
% Result : Theorem 0.07s 10.67s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 535 ( 0 equ)
% Maximal formula atoms : 231 ( 8 avg)
% Number of connectives : 659 ( 190 ~; 175 |; 292 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 231 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-7 aty)
% Number of functors : 65 ( 65 usr; 61 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_1638,axiom,
( sort(klein_1_1,mq)
& varia(c351,varia_c)
& refer(c351,refer_c)
& quant(c351,quant_c)
& gener(c351,gener_c)
& fact(c351,real)
& etype(c351,etype_c)
& card(c351,card_c)
& sort(c351,ent)
& sort(lesotho_0,fe)
& varia(kleinstaat_1_1,varia_c)
& refer(kleinstaat_1_1,refer_c)
& quant(kleinstaat_1_1,one)
& gener(kleinstaat_1_1,ge)
& fact(kleinstaat_1_1,real)
& etype(kleinstaat_1_1,int0)
& card(kleinstaat_1_1,int1)
& sort(kleinstaat_1_1,io)
& sort(kleinstaat_1_1,d)
& varia(c313,varia_c)
& refer(c313,indet)
& quant(c313,one)
& gener(c313,sp)
& fact(c313,real)
& etype(c313,int0)
& card(c313,int1)
& sort(c313,na)
& varia(c312,con)
& refer(c312,det)
& quant(c312,one)
& gener(c312,sp)
& fact(c312,real)
& etype(c312,int0)
& card(c312,int1)
& sort(c312,io)
& sort(c312,d)
& varia(eingreifen_2_1,varia_c)
& refer(eingreifen_2_1,refer_c)
& quant(eingreifen_2_1,one)
& gener(eingreifen_2_1,ge)
& fact(eingreifen_2_1,real)
& etype(eingreifen_2_1,int0)
& card(eingreifen_2_1,int1)
& sort(eingreifen_2_1,ad)
& sort(milit__344risch_1_1,nq)
& varia(c290,varia_c)
& refer(c290,indet)
& quant(c290,one)
& gener(c290,sp)
& fact(c290,real)
& etype(c290,int0)
& card(c290,int1)
& sort(c290,ad)
& sort(mugabe_0,fe)
& sort(robert_0,fe)
& varia(c284,varia_c)
& refer(c284,indet)
& quant(c284,one)
& gener(c284,sp)
& fact(c284,real)
& etype(c284,int0)
& card(c284,int1)
& sort(c284,na)
& varia(c283,varia_c)
& refer(c283,indet)
& quant(c283,one)
& gener(c283,sp)
& fact(c283,real)
& etype(c283,int0)
& card(c283,int1)
& sort(c283,na)
& varia(c282,con)
& refer(c282,det)
& quant(c282,one)
& gener(c282,sp)
& fact(c282,real)
& etype(c282,int0)
& card(c282,int1)
& sort(c282,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(c277,varia_c)
& refer(c277,indet)
& quant(c277,one)
& gener(c277,sp)
& fact(c277,real)
& etype(c277,int0)
& card(c277,int1)
& sort(c277,na)
& varia(c276,varia_c)
& refer(c276,indet)
& quant(c276,one)
& gener(c276,sp)
& fact(c276,real)
& etype(c276,int0)
& card(c276,int1)
& sort(c276,na)
& varia(c275,con)
& refer(c275,det)
& quant(c275,one)
& gener(c275,sp)
& fact(c275,real)
& etype(c275,int0)
& card(c275,int1)
& sort(c275,d)
& sort(simbabwe_0,fe)
& varia(c271,varia_c)
& refer(c271,indet)
& quant(c271,one)
& gener(c271,sp)
& fact(c271,real)
& etype(c271,int0)
& card(c271,int1)
& sort(c271,na)
& varia(c270,con)
& refer(c270,det)
& quant(c270,one)
& gener(c270,sp)
& fact(c270,real)
& etype(c270,int0)
& card(c270,int1)
& sort(c270,io)
& sort(c270,d)
& 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(c266,varia_c)
& refer(c266,indet)
& quant(c266,one)
& gener(c266,sp)
& fact(c266,real)
& etype(c266,int0)
& card(c266,int1)
& sort(c266,na)
& varia(c265,con)
& refer(c265,det)
& quant(c265,one)
& gener(c265,sp)
& fact(c265,real)
& etype(c265,int0)
& card(c265,int1)
& sort(c265,io)
& sort(c265,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(c260,con)
& refer(c260,det)
& quant(c260,mult)
& gener(c260,sp)
& fact(c260,real)
& etype(c260,int1)
& card(c260,cons(x_constant,cons(int1,nil)))
& sort(c260,d)
& sub(kleinstaat_1_1,land_1_1)
& assoc(kleinstaat_1_1,klein_1_1)
& tupl_p7(c351,c260,c270,c275,c282,c290,c312)
& val(c313,lesotho_0)
& sub(c313,name_1_1)
& sub(c312,kleinstaat_1_1)
& attr(c312,c313)
& subs(c290,eingreifen_2_1)
& prop(c290,milit__344risch_1_1)
& val(c284,mugabe_0)
& sub(c284,familiename_1_1)
& val(c283,robert_0)
& sub(c283,eigenname_1_1)
& sub(c282,mensch_1_1)
& attr(c282,c284)
& attr(c282,c283)
& val(c277,mandela_0)
& sub(c277,familiename_1_1)
& val(c276,nelson_0)
& sub(c276,eigenname_1_1)
& sub(c275,mensch_1_1)
& attr(c275,c277)
& attr(c275,c276)
& val(c271,simbabwe_0)
& sub(c271,name_1_1)
& sub(c270,land_1_1)
& attr(c270,c271)
& val(c266,s__374dafrika_0)
& sub(c266,name_1_1)
& sub(c265,land_1_1)
& attr(c265,c266)
& attch(c265,c260)
& pred(c260,pr__344sident_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1638) ).
fof(synth_qa07_010_mira_news_1638,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_1638) ).
fof(synth_qa07_010_mira_news_1638_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_1638]) ).
cnf(c_153,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_217,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_218,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_219,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_220,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_221,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_224,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_225,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_255,plain,
attr(c265,c266),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_257,plain,
sub(c266,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_258,plain,
val(c266,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_263,plain,
attr(c275,c276),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_264,plain,
attr(c275,c277),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_265,plain,
sub(c275,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_266,plain,
sub(c276,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_267,plain,
val(c276,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_268,plain,
sub(c277,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_269,plain,
val(c277,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1638]) ).
cnf(c_484,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_1638_neg]) ).
cnf(c_1232,plain,
( arg1(sK0(c276,A,c275),c275)
| ~ sub(c276,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_217,c_263]) ).
cnf(c_1233,plain,
( arg1(sK0(c276,eigenname_1_1,c275),c275)
| ~ sub(c276,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1232,c_153]) ).
cnf(c_648,plain,
arg1(sK0(c276,eigenname_1_1,c275),c275),
inference(resolve,[status(thm)],[c_1233,c_266]) ).
cnf(c_1234,plain,
( arg2(sK0(c276,A,c275),c275)
| ~ sub(c276,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_218,c_263]) ).
cnf(c_1235,plain,
( arg2(sK0(c276,eigenname_1_1,c275),c275)
| ~ sub(c276,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1234,c_153]) ).
cnf(c_659,plain,
arg2(sK0(c276,eigenname_1_1,c275),c275),
inference(resolve,[status(thm)],[c_1235,c_266]) ).
cnf(c_1236,plain,
( subs(sK0(c276,A,c275),hei__337en_1_1)
| ~ sub(c276,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_219,c_263]) ).
cnf(c_1237,plain,
( subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1)
| ~ sub(c276,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1236,c_153]) ).
cnf(c_661,plain,
subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1237,c_266]) ).
cnf(c_1238,plain,
( subr(sK1(sK0(c276,eigenname_1_1,c275),c275,A),rprs_0)
| ~ subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1)
| ~ arg2(sK0(c276,eigenname_1_1,c275),A) ),
inference(resolve,[status(thm)],[c_225,c_648]) ).
cnf(c_1239,plain,
( subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1238,c_659]) ).
cnf(c_982,plain,
subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0),
inference(resolve,[status(thm)],[c_1239,c_661]) ).
cnf(c_1240,plain,
( obj(sK2(sK0(c276,eigenname_1_1,c275),c275,A),c275)
| ~ subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1)
| ~ arg2(sK0(c276,eigenname_1_1,c275),A) ),
inference(resolve,[status(thm)],[c_224,c_648]) ).
cnf(c_1241,plain,
( obj(sK2(sK0(c276,eigenname_1_1,c275),c275,c275),c275)
| ~ subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1240,c_659]) ).
cnf(c_983,plain,
obj(sK2(sK0(c276,eigenname_1_1,c275),c275,c275),c275),
inference(resolve,[status(thm)],[c_1241,c_661]) ).
cnf(c_1242,plain,
( arg2(sK1(sK0(c276,eigenname_1_1,c275),c275,A),A)
| ~ subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1)
| ~ arg2(sK0(c276,eigenname_1_1,c275),A) ),
inference(resolve,[status(thm)],[c_221,c_648]) ).
cnf(c_1243,plain,
( arg2(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275)
| ~ subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1242,c_659]) ).
cnf(c_986,plain,
arg2(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275),
inference(resolve,[status(thm)],[c_1243,c_661]) ).
cnf(c_1244,plain,
( arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,A),c275)
| ~ subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1)
| ~ arg2(sK0(c276,eigenname_1_1,c275),A) ),
inference(resolve,[status(thm)],[c_220,c_648]) ).
cnf(c_1245,plain,
( arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275)
| ~ subs(sK0(c276,eigenname_1_1,c275),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1244,c_659]) ).
cnf(c_987,plain,
arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275),
inference(resolve,[status(thm)],[c_1245,c_661]) ).
cnf(c_1246,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c275,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(c276,eigenname_1_1,c275),c275,c275),A) ),
inference(resolve,[status(thm)],[c_484,c_986]) ).
cnf(c_1247,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c277,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c275,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c277,familiename_1_1)
| ~ obj(D,c275)
| ~ attr(B,C)
| ~ attr(c275,A)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1246,c_264]) ).
cnf(c_1248,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ val(c277,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c275,D)
| ~ sub(c276,eigenname_1_1)
| ~ sub(c277,familiename_1_1)
| ~ obj(C,c275)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1247,c_263]) ).
cnf(c_1249,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ val(c277,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ sub(c266,name_1_1)
| ~ sub(c275,B)
| ~ sub(c276,eigenname_1_1)
| ~ sub(c277,familiename_1_1)
| ~ obj(A,c275)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1248,c_255]) ).
cnf(c_1250,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ val(c277,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ sub(c266,name_1_1)
| ~ sub(c275,A)
| ~ sub(c276,eigenname_1_1)
| ~ sub(c277,familiename_1_1)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1249,c_983]) ).
cnf(c_1251,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ val(c277,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ sub(c266,name_1_1)
| ~ sub(c275,A)
| ~ sub(c276,eigenname_1_1)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1250,c_268]) ).
cnf(c_1252,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ val(c277,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ sub(c266,name_1_1)
| ~ sub(c275,A)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1251,c_266]) ).
cnf(c_1253,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ val(c277,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ sub(c266,name_1_1)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1252,c_265]) ).
cnf(c_1254,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ val(c277,mandela_0)
| ~ subr(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),rprs_0)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1253,c_257]) ).
cnf(c_1255,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ val(c277,mandela_0)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1254,c_982]) ).
cnf(c_1256,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ val(c276,nelson_0)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1255,c_269]) ).
cnf(c_1257,negated_conjecture,
( ~ val(c266,s__374dafrika_0)
| ~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275) ),
inference(resolve,[status(thm)],[c_1256,c_267]) ).
cnf(c_1258,negated_conjecture,
~ arg1(sK1(sK0(c276,eigenname_1_1,c275),c275,c275),c275),
inference(resolve,[status(thm)],[c_1257,c_258]) ).
cnf(c_1231,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_987,c_1258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR116+9 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/10.31 % Computer : n012.cluster.edu
% 0.04/10.31 % Model : x86_64 x86_64
% 0.04/10.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.31 % Memory : 8046.5625MB
% 0.04/10.31 % OS : Linux 6.8.0-71-generic
% 0.04/10.31 % CPULimit : 300
% 0.04/10.31 % WCLimit : 300
% 0.04/10.31 % DateTime : Sun Sep 27 01:16:03 UTC 2026
% 0.04/10.31 % CPUTime :
% 0.04/10.32 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/10.32 % Process 1879240 was started by sandbox2 on n012,
% 0.04/10.32 % Sun Sep 27 01:16:03 2026
% 0.04/10.32 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.07/10.67
% 0.07/10.67 % SInE (scan): 83 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10077 zapped, of 10188 axioms (depth 3).
% 0.07/10.67
% 0.07/10.67 % From the command line: assign(max_seconds, 300).
% 0.07/10.67
% 0.07/10.67 % given #500 (A,wt=10): 648 arg1(f6(c276,eigenname_1_1,c275),c275). [ur(217,a,263,a,b,153,a,c,266,a)].
% 0.07/10.67
% 0.07/10.67 % SZS status Theorem for theBenchmark
% 0.07/10.67
% 0.07/10.67 % Proof 1 at 0.22 (+ 0.04) seconds.
% 0.07/10.67 % Length of proof is 32.
% 0.07/10.67 % Level of proof is 4.
% 0.07/10.67 % Maximum clause weight is 44.000.
% 0.07/10.67 % Given clauses 881.
% 0.07/10.67
% 0.07/10.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------