%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+13 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 07:07:51 AM UTC 2026
% Result : Theorem 2.26s 0.75s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 526 ( 0 equ)
% Maximal formula atoms : 222 ( 7 avg)
% Number of connectives : 650 ( 190 ~; 175 |; 283 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 222 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-7 aty)
% Number of functors : 62 ( 62 usr; 58 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_1718,axiom,
( varia(c636,varia_c)
& refer(c636,refer_c)
& quant(c636,quant_c)
& gener(c636,gener_c)
& fact(c636,real)
& etype(c636,etype_c)
& card(c636,card_c)
& sort(c636,ent)
& sort(ghana_0,fe)
& varia(c383,varia_c)
& refer(c383,indet)
& quant(c383,one)
& gener(c383,sp)
& fact(c383,real)
& etype(c383,int0)
& card(c383,int1)
& sort(c383,na)
& varia(c382,con)
& refer(c382,det)
& quant(c382,one)
& gener(c382,sp)
& fact(c382,real)
& etype(c382,int0)
& card(c382,int1)
& sort(c382,io)
& sort(c382,d)
& sort(rawling_0,fe)
& sort(jerry_0,fe)
& varia(c377,varia_c)
& refer(c377,indet)
& quant(c377,one)
& gener(c377,sp)
& fact(c377,real)
& etype(c377,int0)
& card(c377,int1)
& sort(c377,na)
& varia(c376,varia_c)
& refer(c376,indet)
& quant(c376,one)
& gener(c376,sp)
& fact(c376,real)
& etype(c376,int0)
& card(c376,int1)
& sort(c376,na)
& varia(c375,con)
& refer(c375,det)
& quant(c375,one)
& gener(c375,sp)
& fact(c375,real)
& etype(c375,int0)
& card(c375,int1)
& sort(c375,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(c368,varia_c)
& refer(c368,indet)
& quant(c368,one)
& gener(c368,sp)
& fact(c368,real)
& etype(c368,int0)
& card(c368,int1)
& sort(c368,na)
& varia(c367,con)
& refer(c367,det)
& quant(c367,one)
& gener(c367,sp)
& fact(c367,real)
& etype(c367,int0)
& card(c367,int1)
& sort(c367,io)
& sort(c367,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(c362,varia_c)
& refer(c362,indet)
& quant(c362,one)
& gener(c362,sp)
& fact(c362,real)
& etype(c362,int0)
& card(c362,int1)
& sort(c362,na)
& varia(c361,varia_c)
& refer(c361,indet)
& quant(c361,one)
& gener(c361,sp)
& fact(c361,real)
& etype(c361,int0)
& card(c361,int1)
& sort(c361,na)
& varia(c360,con)
& refer(c360,det)
& quant(c360,one)
& gener(c360,sp)
& fact(c360,real)
& etype(c360,int0)
& card(c360,int1)
& sort(c360,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(c355,con)
& refer(c355,det)
& quant(c355,mult)
& gener(c355,sp)
& fact(c355,real)
& etype(c355,int1)
& card(c355,cons(x_constant,cons(int1,nil)))
& sort(c355,d)
& varia(c345,varia_c)
& refer(c345,refer_c)
& quant(c345,mult)
& gener(c345,gener_c)
& fact(c345,real)
& etype(c345,int1)
& card(c345,cons(x_constant,cons(int1,nil)))
& sort(c345,d)
& sort(ehemalig_1_1,tq)
& varia(c1,varia_c)
& refer(c1,refer_c)
& quant(c1,quant_c)
& gener(c1,gener_c)
& fact(c1,fact_c)
& etype(c1,etype_c)
& card(c1,card_c)
& sort(c1,ent)
& varia(traegerin_1_1,varia_c)
& refer(traegerin_1_1,refer_c)
& quant(traegerin_1_1,one)
& gener(traegerin_1_1,ge)
& fact(traegerin_1_1,real)
& etype(traegerin_1_1,int0)
& card(traegerin_1_1,int1)
& sort(traegerin_1_1,d)
& varia(auszeichnung_1_1,varia_c)
& refer(auszeichnung_1_1,refer_c)
& quant(auszeichnung_1_1,one)
& gener(auszeichnung_1_1,ge)
& fact(auszeichnung_1_1,real)
& etype(auszeichnung_1_1,int0)
& card(auszeichnung_1_1,int1)
& sort(auszeichnung_1_1,d)
& varia(auszeichnungstr__344ger_1_1,varia_c)
& refer(auszeichnungstr__344ger_1_1,refer_c)
& quant(auszeichnungstr__344ger_1_1,one)
& gener(auszeichnungstr__344ger_1_1,ge)
& fact(auszeichnungstr__344ger_1_1,real)
& etype(auszeichnungstr__344ger_1_1,int0)
& card(auszeichnungstr__344ger_1_1,int1)
& sort(auszeichnungstr__344ger_1_1,d)
& tupl_p7(c636,c345,c355,c360,c367,c375,c382)
& val(c383,ghana_0)
& sub(c383,name_1_1)
& sub(c382,land_1_1)
& attr(c382,c383)
& val(c377,rawling_0)
& sub(c377,familiename_1_1)
& val(c376,jerry_0)
& sub(c376,eigenname_1_1)
& sub(c375,mensch_1_1)
& attr(c375,c377)
& attr(c375,c376)
& val(c368,s__374dafrika_0)
& sub(c368,name_1_1)
& sub(c367,land_1_1)
& attr(c367,c368)
& val(c362,mandela_0)
& sub(c362,familiename_1_1)
& val(c361,nelson_0)
& sub(c361,eigenname_1_1)
& sub(c360,mensch_1_1)
& attr(c360,c362)
& attr(c360,c361)
& pred(c355,pr__344sident_1_1)
& pred(c345,c1)
& pmod(c1,ehemalig_1_1,auszeichnungstr__344ger_1_1)
& sub(auszeichnungstr__344ger_1_1,traegerin_1_1)
& assoc(auszeichnungstr__344ger_1_1,auszeichnung_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1718) ).
fof(synth_qa07_010_mira_news_1718,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_1718) ).
fof(synth_qa07_010_mira_news_1718_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_1718]) ).
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_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_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_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_262,plain,
attr(c360,c361),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_263,plain,
attr(c360,c362),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_264,plain,
sub(c360,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_265,plain,
sub(c361,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_266,plain,
val(c361,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_267,plain,
sub(c362,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_268,plain,
val(c362,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_269,plain,
attr(c367,c368),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_271,plain,
sub(c368,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_272,plain,
val(c368,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1718]) ).
cnf(c_479,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_1718_neg]) ).
cnf(c_1161,plain,
( arg1(sK0(c361,A,c360),c360)
| ~ sub(c361,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_217,c_262]) ).
cnf(c_1162,plain,
( arg1(sK0(c361,eigenname_1_1,c360),c360)
| ~ sub(c361,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1161,c_156]) ).
cnf(c_641,plain,
arg1(sK0(c361,eigenname_1_1,c360),c360),
inference(resolve,[status(thm)],[c_1162,c_265]) ).
cnf(c_1163,plain,
( arg2(sK0(c361,A,c360),c360)
| ~ sub(c361,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_218,c_262]) ).
cnf(c_1164,plain,
( arg2(sK0(c361,eigenname_1_1,c360),c360)
| ~ sub(c361,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1163,c_156]) ).
cnf(c_643,plain,
arg2(sK0(c361,eigenname_1_1,c360),c360),
inference(resolve,[status(thm)],[c_1164,c_265]) ).
cnf(c_1165,plain,
( subs(sK0(c361,A,c360),hei__337en_1_1)
| ~ sub(c361,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_219,c_262]) ).
cnf(c_1166,plain,
( subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1)
| ~ sub(c361,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1165,c_156]) ).
cnf(c_652,plain,
subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1166,c_265]) ).
cnf(c_1167,plain,
( subr(sK1(sK0(c361,eigenname_1_1,c360),c360,A),rprs_0)
| ~ subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1)
| ~ arg2(sK0(c361,eigenname_1_1,c360),A) ),
inference(resolve,[status(thm)],[c_225,c_641]) ).
cnf(c_1168,plain,
( subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1167,c_643]) ).
cnf(c_943,plain,
subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0),
inference(resolve,[status(thm)],[c_1168,c_652]) ).
cnf(c_1169,plain,
( obj(sK2(sK0(c361,eigenname_1_1,c360),c360,A),c360)
| ~ subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1)
| ~ arg2(sK0(c361,eigenname_1_1,c360),A) ),
inference(resolve,[status(thm)],[c_224,c_641]) ).
cnf(c_1170,plain,
( obj(sK2(sK0(c361,eigenname_1_1,c360),c360,c360),c360)
| ~ subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1169,c_643]) ).
cnf(c_944,plain,
obj(sK2(sK0(c361,eigenname_1_1,c360),c360,c360),c360),
inference(resolve,[status(thm)],[c_1170,c_652]) ).
cnf(c_1171,plain,
( arg2(sK1(sK0(c361,eigenname_1_1,c360),c360,A),A)
| ~ subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1)
| ~ arg2(sK0(c361,eigenname_1_1,c360),A) ),
inference(resolve,[status(thm)],[c_221,c_641]) ).
cnf(c_1172,plain,
( arg2(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360)
| ~ subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1171,c_643]) ).
cnf(c_947,plain,
arg2(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360),
inference(resolve,[status(thm)],[c_1172,c_652]) ).
cnf(c_1173,plain,
( arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,A),c360)
| ~ subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1)
| ~ arg2(sK0(c361,eigenname_1_1,c360),A) ),
inference(resolve,[status(thm)],[c_220,c_641]) ).
cnf(c_1174,plain,
( arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360)
| ~ subs(sK0(c361,eigenname_1_1,c360),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1173,c_643]) ).
cnf(c_948,plain,
arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360),
inference(resolve,[status(thm)],[c_1174,c_652]) ).
cnf(c_1175,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c360,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(c361,eigenname_1_1,c360),c360,c360),A) ),
inference(resolve,[status(thm)],[c_479,c_947]) ).
cnf(c_1176,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c362,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c360,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c362,familiename_1_1)
| ~ obj(D,c360)
| ~ attr(B,C)
| ~ attr(c360,A)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1175,c_263]) ).
cnf(c_1177,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ val(c362,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c360,D)
| ~ sub(c361,eigenname_1_1)
| ~ sub(c362,familiename_1_1)
| ~ obj(C,c360)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1176,c_262]) ).
cnf(c_1178,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ val(c362,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ sub(c368,name_1_1)
| ~ sub(c360,B)
| ~ sub(c361,eigenname_1_1)
| ~ sub(c362,familiename_1_1)
| ~ obj(A,c360)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1177,c_269]) ).
cnf(c_1179,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ val(c362,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ sub(c368,name_1_1)
| ~ sub(c360,A)
| ~ sub(c361,eigenname_1_1)
| ~ sub(c362,familiename_1_1)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1178,c_944]) ).
cnf(c_1180,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ val(c362,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ sub(c368,name_1_1)
| ~ sub(c360,A)
| ~ sub(c361,eigenname_1_1)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1179,c_267]) ).
cnf(c_1181,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ val(c362,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ sub(c368,name_1_1)
| ~ sub(c360,A)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1180,c_265]) ).
cnf(c_1182,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ val(c362,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ sub(c368,name_1_1)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1181,c_264]) ).
cnf(c_1183,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ val(c362,mandela_0)
| ~ subr(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),rprs_0)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1182,c_271]) ).
cnf(c_1184,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ val(c362,mandela_0)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1183,c_943]) ).
cnf(c_1185,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ val(c361,nelson_0)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1184,c_268]) ).
cnf(c_1186,negated_conjecture,
( ~ val(c368,s__374dafrika_0)
| ~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360) ),
inference(resolve,[status(thm)],[c_1185,c_266]) ).
cnf(c_1187,negated_conjecture,
~ arg1(sK1(sK0(c361,eigenname_1_1,c360),c360,c360),c360),
inference(resolve,[status(thm)],[c_1186,c_272]) ).
cnf(c_1160,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_948,c_1187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+13 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 01:16:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 1162739 was started by sandbox on n015,
% 0.09/0.36 % Sun Sep 27 01:16:59 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 2.26/0.75
% 2.26/0.75 % SInE (scan): 84 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10076 zapped, of 10188 axioms (depth 3).
% 2.26/0.75
% 2.26/0.75 % From the command line: assign(max_seconds, 300).
% 2.26/0.75
% 2.26/0.75 % given #500 (A,wt=10): 651 subs(f6(c376,eigenname_1_1,c375),hei__337en_1_1). [ur(219,a,273,a,b,156,a,c,276,a)].
% 2.26/0.75
% 2.26/0.75 % SZS status Theorem for theBenchmark
% 2.26/0.75
% 2.26/0.75 % Proof 1 at 0.21 (+ 0.06) seconds.
% 2.26/0.75 % Length of proof is 32.
% 2.26/0.75 % Level of proof is 4.
% 2.26/0.75 % Maximum clause weight is 44.000.
% 2.26/0.75 % Given clauses 845.
% 2.26/0.75
% 2.26/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------