%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+41 : 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 : n011.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 07:07:55 AM UTC 2026
% Result : Theorem 3.23s 0.91s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 23 unt; 0 def)
% Number of atoms : 588 ( 0 equ)
% Maximal formula atoms : 247 ( 8 avg)
% Number of connectives : 739 ( 221 ~; 204 |; 312 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 247 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 70 ( 70 usr; 66 con; 0-3 aty)
% Number of variables : 135 ( 12 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_mn3_283,axiom,
( varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,quant_c)
& gener(mensch_1_1,gener_c)
& fact(mensch_1_1,real)
& etype(mensch_1_1,etype_c)
& card(mensch_1_1,card_c)
& sort(mensch_1_1,ent)
& varia(stadt__1_1,varia_c)
& refer(stadt__1_1,refer_c)
& quant(stadt__1_1,one)
& gener(stadt__1_1,ge)
& fact(stadt__1_1,real)
& etype(stadt__1_1,int0)
& card(stadt__1_1,int1)
& sort(stadt__1_1,io)
& sort(stadt__1_1,d)
& gener(equ_0,gener_c)
& fact(equ_0,real)
& sort(equ_0,st)
& gener(c23,sp)
& fact(c23,real)
& sort(c23,st)
& varia(freude_1_1,varia_c)
& refer(freude_1_1,refer_c)
& quant(freude_1_1,one)
& gener(freude_1_1,ge)
& fact(freude_1_1,real)
& etype(freude_1_1,int0)
& card(freude_1_1,int1)
& sort(freude_1_1,ad)
& sort(ausgelassen_1_1,ql)
& varia(c20,con)
& refer(c20,det)
& quant(c20,one)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,int0)
& card(c20,int1)
& sort(c20,ad)
& sort(pretoria_0,fe)
& varia(hauptsstadt_1_1,varia_c)
& refer(hauptsstadt_1_1,refer_c)
& quant(hauptsstadt_1_1,one)
& gener(hauptsstadt_1_1,ge)
& fact(hauptsstadt_1_1,real)
& etype(hauptsstadt_1_1,int0)
& card(hauptsstadt_1_1,int1)
& sort(hauptsstadt_1_1,io)
& sort(hauptsstadt_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,io)
& sort(c177,d)
& varia(dienstag__1_1,varia_c)
& refer(dienstag__1_1,refer_c)
& quant(dienstag__1_1,one)
& gener(dienstag__1_1,ge)
& fact(dienstag__1_1,real)
& etype(dienstag__1_1,int0)
& card(dienstag__1_1,int1)
& sort(dienstag__1_1,ta)
& 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)
& sort(schwarz_1_1,tq)
& varia(c180,con)
& refer(c180,det)
& quant(c180,one)
& gener(c180,sp)
& fact(c180,real)
& etype(c180,int0)
& card(c180,int1)
& sort(c180,l)
& varia(c163,varia_c)
& refer(c163,indet)
& quant(c163,one)
& gener(c163,sp)
& fact(c163,real)
& etype(c163,int0)
& card(c163,int1)
& sort(c163,na)
& varia(c162,varia_c)
& refer(c162,indet)
& quant(c162,one)
& gener(c162,sp)
& fact(c162,real)
& etype(c162,int0)
& card(c162,int1)
& sort(c162,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(c156,varia_c)
& refer(c156,indet)
& quant(c156,one)
& gener(c156,sp)
& fact(c156,real)
& etype(c156,int0)
& card(c156,int1)
& sort(c156,na)
& varia(c155,con)
& refer(c155,det)
& quant(c155,one)
& gener(c155,sp)
& fact(c155,real)
& etype(c155,int0)
& card(c155,int1)
& sort(c155,io)
& sort(c155,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)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c151,varia_c)
& refer(c151,refer_c)
& quant(c151,one)
& gener(c151,ge)
& fact(c151,real)
& etype(c151,int0)
& card(c151,int1)
& sort(c151,d)
& varia(c167,con)
& refer(c167,det)
& quant(c167,one)
& gener(c167,sp)
& fact(c167,real)
& etype(c167,int0)
& card(c167,int1)
& sort(c167,ta)
& varia(vereidigung_1_1,varia_c)
& refer(vereidigung_1_1,refer_c)
& quant(vereidigung_1_1,one)
& gener(vereidigung_1_1,ge)
& fact(vereidigung_1_1,real)
& etype(vereidigung_1_1,int0)
& card(vereidigung_1_1,int1)
& sort(vereidigung_1_1,ad)
& varia(feier__1_1,varia_c)
& refer(feier__1_1,refer_c)
& quant(feier__1_1,one)
& gener(feier__1_1,ge)
& fact(feier__1_1,real)
& etype(feier__1_1,int0)
& card(feier__1_1,int1)
& sort(feier__1_1,ad)
& sort(afrikanisch__1_1,nq)
& varia(c161,con)
& refer(c161,det)
& quant(c161,one)
& gener(c161,sp)
& fact(c161,real)
& etype(c161,int0)
& card(c161,int1)
& sort(c161,d)
& varia(c11,varia_c)
& refer(c11,indet)
& quant(c11,one)
& gener(c11,sp)
& fact(c11,real)
& etype(c11,int0)
& card(c11,int1)
& sort(c11,ad)
& sub(pr__344sident_1_1,mensch_1_1)
& sub(hauptsstadt_1_1,stadt__1_1)
& subr(c23,equ_0)
& arg2(c23,c11)
& arg1(c23,c11)
& subs(c20,freude_1_1)
& prop(c20,ausgelassen_1_1)
& attch(c20,c11)
& in(c180,c177)
& val(c178,pretoria_0)
& sub(c178,name_1_1)
& sub(c177,hauptsstadt_1_1)
& attr(c177,c178)
& sub(c167,dienstag__1_1)
& val(c163,mandela_0)
& sub(c163,familiename_1_1)
& val(c162,nelson_0)
& sub(c162,eigenname_1_1)
& sub(c161,c151)
& prop(c161,schwarz_1_1)
& loc(c161,c180)
& attr(c161,c163)
& attr(c161,c162)
& val(c156,s__374dafrika_0)
& sub(c156,name_1_1)
& sub(c155,land_1_1)
& attr(c155,c156)
& attch(c155,c161)
& pmod(c151,erst_1_1,pr__344sident_1_1)
& temp(c11,c167)
& subs(c11,vereidigung_1_1)
& subs(c11,feier__1_1)
& prop(c11,afrikanisch__1_1)
& obj(c11,c161)
& equ(c11,c11) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mn3_283) ).
fof(synth_qa07_010_mn3_283,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)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('theBenchmark.p',synth_qa07_010_mn3_283) ).
fof(synth_qa07_010_mn3_283_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)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mn3_283]) ).
cnf(c_150,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_42,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_42]) ).
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_230,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_231,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_232,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_43,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_43]) ).
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_233,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_234,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_237,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_238,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_276,plain,
pmod(c151,erst_1_1,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_278,plain,
attr(c155,c156),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_280,plain,
sub(c156,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_281,plain,
val(c156,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_282,plain,
attr(c161,c162),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_283,plain,
attr(c161,c163),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_285,plain,
prop(c161,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_286,plain,
sub(c161,c151),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_287,plain,
sub(c162,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_288,plain,
val(c162,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_289,plain,
sub(c163,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_290,plain,
val(c163,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_283]) ).
cnf(c_517,negated_conjecture,
( ~ val(V7,s__374dafrika_0)
| ~ val(F,nelson_0)
| ~ val(E,mandela_0)
| ~ subr(B,rprs_0)
| ~ sub(V7,name_1_1)
| ~ sub(D,A)
| ~ sub(F,eigenname_1_1)
| ~ sub(E,familiename_1_1)
| ~ prop(D,schwarz_1_1)
| ~ obj(V8,C)
| ~ attr(V6,V7)
| ~ attr(C,F)
| ~ attr(C,E)
| ~ arg2(B,D)
| ~ arg1(B,C)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(clausify,[status(thm)],[synth_qa07_010_mn3_283_neg]) ).
cnf(c_1286,plain,
( arg1(sK0(c162,A,c161),c161)
| ~ sub(c162,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_230,c_282]) ).
cnf(c_1287,plain,
( arg1(sK0(c162,eigenname_1_1,c161),c161)
| ~ sub(c162,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1286,c_150]) ).
cnf(c_712,plain,
arg1(sK0(c162,eigenname_1_1,c161),c161),
inference(resolve,[status(thm)],[c_1287,c_287]) ).
cnf(c_1288,plain,
( arg2(sK0(c162,A,c161),c161)
| ~ sub(c162,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_231,c_282]) ).
cnf(c_1289,plain,
( arg2(sK0(c162,eigenname_1_1,c161),c161)
| ~ sub(c162,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1288,c_150]) ).
cnf(c_713,plain,
arg2(sK0(c162,eigenname_1_1,c161),c161),
inference(resolve,[status(thm)],[c_1289,c_287]) ).
cnf(c_1290,plain,
( subs(sK0(c162,A,c161),hei__337en_1_1)
| ~ sub(c162,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_232,c_282]) ).
cnf(c_1291,plain,
( subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1)
| ~ sub(c162,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1290,c_150]) ).
cnf(c_721,plain,
subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1291,c_287]) ).
cnf(c_1292,plain,
( subr(sK1(sK0(c162,eigenname_1_1,c161),c161,A),rprs_0)
| ~ subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1)
| ~ arg2(sK0(c162,eigenname_1_1,c161),A) ),
inference(resolve,[status(thm)],[c_238,c_712]) ).
cnf(c_1293,plain,
( subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1292,c_713]) ).
cnf(c_1036,plain,
subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0),
inference(resolve,[status(thm)],[c_1293,c_721]) ).
cnf(c_1294,plain,
( obj(sK2(sK0(c162,eigenname_1_1,c161),c161,A),c161)
| ~ subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1)
| ~ arg2(sK0(c162,eigenname_1_1,c161),A) ),
inference(resolve,[status(thm)],[c_237,c_712]) ).
cnf(c_1295,plain,
( obj(sK2(sK0(c162,eigenname_1_1,c161),c161,c161),c161)
| ~ subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1294,c_713]) ).
cnf(c_1037,plain,
obj(sK2(sK0(c162,eigenname_1_1,c161),c161,c161),c161),
inference(resolve,[status(thm)],[c_1295,c_721]) ).
cnf(c_1296,plain,
( arg2(sK1(sK0(c162,eigenname_1_1,c161),c161,A),A)
| ~ subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1)
| ~ arg2(sK0(c162,eigenname_1_1,c161),A) ),
inference(resolve,[status(thm)],[c_234,c_712]) ).
cnf(c_1297,plain,
( arg2(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161)
| ~ subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1296,c_713]) ).
cnf(c_1040,plain,
arg2(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161),
inference(resolve,[status(thm)],[c_1297,c_721]) ).
cnf(c_1298,plain,
( arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,A),c161)
| ~ subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1)
| ~ arg2(sK0(c162,eigenname_1_1,c161),A) ),
inference(resolve,[status(thm)],[c_233,c_712]) ).
cnf(c_1299,plain,
( arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161)
| ~ subs(sK0(c162,eigenname_1_1,c161),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1298,c_713]) ).
cnf(c_1041,plain,
arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161),
inference(resolve,[status(thm)],[c_1299,c_721]) ).
cnf(c_1300,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,c151)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ prop(C,schwarz_1_1)
| ~ obj(V7,B)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_517,c_276]) ).
cnf(c_1301,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c161,c151)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ prop(c161,schwarz_1_1)
| ~ obj(F,A)
| ~ attr(D,E)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),A) ),
inference(resolve,[status(thm)],[c_1300,c_1040]) ).
cnf(c_1302,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c161,c151)
| ~ sub(A,eigenname_1_1)
| ~ sub(c163,familiename_1_1)
| ~ prop(c161,schwarz_1_1)
| ~ obj(D,c161)
| ~ attr(B,C)
| ~ attr(c161,A)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1301,c_283]) ).
cnf(c_1303,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c161,c151)
| ~ sub(c162,eigenname_1_1)
| ~ sub(c163,familiename_1_1)
| ~ prop(c161,schwarz_1_1)
| ~ obj(C,c161)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1302,c_282]) ).
cnf(c_1304,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(c156,name_1_1)
| ~ sub(c161,c151)
| ~ sub(c162,eigenname_1_1)
| ~ sub(c163,familiename_1_1)
| ~ prop(c161,schwarz_1_1)
| ~ obj(A,c161)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1303,c_278]) ).
cnf(c_1305,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(c156,name_1_1)
| ~ sub(c161,c151)
| ~ sub(c162,eigenname_1_1)
| ~ sub(c163,familiename_1_1)
| ~ prop(c161,schwarz_1_1)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1304,c_1037]) ).
cnf(c_1306,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(c156,name_1_1)
| ~ sub(c161,c151)
| ~ sub(c162,eigenname_1_1)
| ~ sub(c163,familiename_1_1)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1305,c_285]) ).
cnf(c_1307,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(c156,name_1_1)
| ~ sub(c161,c151)
| ~ sub(c162,eigenname_1_1)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1306,c_289]) ).
cnf(c_1308,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(c156,name_1_1)
| ~ sub(c161,c151)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1307,c_287]) ).
cnf(c_1309,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ sub(c156,name_1_1)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1308,c_286]) ).
cnf(c_1310,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ subr(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),rprs_0)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1309,c_280]) ).
cnf(c_1311,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ val(c163,mandela_0)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1310,c_1036]) ).
cnf(c_1312,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ val(c162,nelson_0)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1311,c_290]) ).
cnf(c_1313,negated_conjecture,
( ~ val(c156,s__374dafrika_0)
| ~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161) ),
inference(resolve,[status(thm)],[c_1312,c_288]) ).
cnf(c_1314,negated_conjecture,
~ arg1(sK1(sK0(c162,eigenname_1_1,c161),c161,c161),c161),
inference(resolve,[status(thm)],[c_1313,c_281]) ).
cnf(c_1285,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1041,c_1314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+41 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.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 01:15:44 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 1923750 was started by sandbox on n011,
% 0.09/0.36 % Sun Sep 27 01:15:44 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 3.23/0.91
% 3.23/0.91 % SInE (scan): 95 to sos (tol 1.5x), 24 to usable (tol 2.0x), 10069 zapped, of 10188 axioms (depth 3).
% 3.23/0.91
% 3.23/0.91 % From the command line: assign(max_seconds, 300).
% 3.23/0.91
% 3.23/0.91 % given #500 (A,wt=5): 649 has_fact_leq(pr__344sident_1_1,real). [ur(159,a,359,a)].
% 3.23/0.91
% 3.23/0.91 % SZS status Theorem for theBenchmark
% 3.23/0.91
% 3.23/0.91 % Proof 1 at 0.27 (+ 0.06) seconds.
% 3.23/0.91 % Length of proof is 34.
% 3.23/0.91 % Level of proof is 4.
% 3.23/0.91 % Maximum clause weight is 109.000.
% 3.23/0.91 % Given clauses 956.
% 3.23/0.91
% 3.23/0.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------