%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+46 : 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 : n014.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 0.13s 5.62s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 654 ( 0 equ)
% Maximal formula atoms : 350 ( 9 avg)
% Number of connectives : 778 ( 190 ~; 175 |; 411 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 350 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-11 aty)
% Number of functors : 80 ( 80 usr; 76 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_qapn_175,axiom,
( varia(partei_1_1,varia_c)
& refer(partei_1_1,refer_c)
& quant(partei_1_1,quant_c)
& gener(partei_1_1,ge)
& fact(partei_1_1,real)
& etype(partei_1_1,int1)
& card(partei_1_1,card_c)
& sort(partei_1_1,io)
& sort(partei_1_1,d)
& varia(freiheit_1_1,varia_c)
& refer(freiheit_1_1,refer_c)
& quant(freiheit_1_1,one)
& gener(freiheit_1_1,ge)
& fact(freiheit_1_1,real)
& etype(freiheit_1_1,int0)
& card(freiheit_1_1,int1)
& sort(freiheit_1_1,io)
& sort(freiheit_1_1,as)
& varia(demokratie__1_1,varia_c)
& refer(demokratie__1_1,refer_c)
& quant(demokratie__1_1,one)
& gener(demokratie__1_1,ge)
& fact(demokratie__1_1,real)
& etype(demokratie__1_1,int0)
& card(demokratie__1_1,int1)
& sort(demokratie__1_1,io)
& varia(absicht_1_1,varia_c)
& refer(absicht_1_1,refer_c)
& quant(absicht_1_1,one)
& gener(absicht_1_1,ge)
& fact(absicht_1_1,real)
& etype(absicht_1_1,int0)
& card(absicht_1_1,int1)
& sort(absicht_1_1,as)
& sort(mandela_0,fe)
& sort(nelson_0,fe)
& varia(c78,varia_c)
& refer(c78,indet)
& quant(c78,one)
& gener(c78,sp)
& fact(c78,real)
& etype(c78,int0)
& card(c78,int1)
& sort(c78,na)
& varia(c77,varia_c)
& refer(c77,indet)
& quant(c77,one)
& gener(c77,sp)
& fact(c77,real)
& etype(c77,int0)
& card(c77,int1)
& sort(c77,na)
& varia(kongre__337_1_1,varia_c)
& refer(kongre__337_1_1,refer_c)
& quant(kongre__337_1_1,one)
& gener(kongre__337_1_1,ge)
& fact(kongre__337_1_1,real)
& etype(kongre__337_1_1,int0)
& card(kongre__337_1_1,int1)
& sort(kongre__337_1_1,io)
& sort(kongre__337_1_1,d)
& varia(national_2_1,varia_c)
& refer(national_2_1,refer_c)
& quant(national_2_1,one)
& gener(national_2_1,ge)
& fact(national_2_1,real)
& etype(national_2_1,int0)
& card(national_2_1,int1)
& sort(national_2_1,o)
& sort(afrikanisch__1_1,nq)
& varia(c63,con)
& refer(c63,det)
& quant(c63,one)
& gener(c63,sp)
& fact(c63,real)
& etype(c63,int0)
& card(c63,int1)
& sort(c63,o)
& 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(treffen_3_1,varia_c)
& refer(treffen_3_1,refer_c)
& quant(treffen_3_1,one)
& gener(treffen_3_1,ge)
& fact(treffen_3_1,real)
& etype(treffen_3_1,int0)
& card(treffen_3_1,int1)
& sort(treffen_3_1,ad)
& sort(buthelezi_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(mangosuthu_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(c45,varia_c)
& refer(c45,indet)
& quant(c45,one)
& gener(c45,sp)
& fact(c45,real)
& etype(c45,int0)
& card(c45,int1)
& sort(c45,na)
& varia(c44,varia_c)
& refer(c44,indet)
& quant(c44,one)
& gener(c44,sp)
& fact(c44,real)
& etype(c44,int0)
& card(c44,int1)
& sort(c44,na)
& varia(freiheitspartei_1_1,varia_c)
& refer(freiheitspartei_1_1,refer_c)
& quant(freiheitspartei_1_1,quant_c)
& gener(freiheitspartei_1_1,ge)
& fact(freiheitspartei_1_1,real)
& etype(freiheitspartei_1_1,int1)
& card(freiheitspartei_1_1,card_c)
& sort(freiheitspartei_1_1,io)
& sort(freiheitspartei_1_1,d)
& varia(inkatha_1_1,varia_c)
& refer(inkatha_1_1,refer_c)
& quant(inkatha_1_1,one)
& gener(inkatha_1_1,ge)
& fact(inkatha_1_1,real)
& etype(inkatha_1_1,int0)
& card(inkatha_1_1,int1)
& sort(inkatha_1_1,o)
& varia(c30,con)
& refer(c30,det)
& quant(c30,one)
& gener(c30,sp)
& fact(c30,real)
& etype(c30,int0)
& card(c30,int1)
& sort(c30,o)
& varia(c76,con)
& refer(c76,det)
& quant(c76,one)
& gener(c76,sp)
& fact(c76,real)
& etype(c76,int0)
& card(c76,int1)
& sort(c76,d)
& varia(c67,varia_c)
& refer(c67,refer_c)
& quant(c67,one)
& gener(c67,gener_c)
& fact(c67,real)
& etype(c67,int0)
& card(c67,int1)
& sort(c67,io)
& sort(c67,d)
& varia(c59,con)
& refer(c59,det)
& quant(c59,one)
& gener(c59,sp)
& fact(c59,real)
& etype(c59,int0)
& card(c59,int1)
& sort(c59,d)
& varia(c53,varia_c)
& refer(c53,indet)
& quant(c53,one)
& gener(c53,sp)
& fact(c53,real)
& etype(c53,int0)
& card(c53,int1)
& sort(c53,ad)
& varia(c43,con)
& refer(c43,det)
& quant(c43,one)
& gener(c43,sp)
& fact(c43,real)
& etype(c43,int0)
& card(c43,int1)
& sort(c43,d)
& varia(c34,varia_c)
& refer(c34,refer_c)
& quant(c34,one)
& gener(c34,gener_c)
& fact(c34,real)
& etype(c34,int1)
& card(c34,int1)
& sort(c34,io)
& sort(c34,d)
& varia(c287,varia_c)
& refer(c287,refer_c)
& quant(c287,quant_c)
& gener(c287,gener_c)
& fact(c287,real)
& etype(c287,etype_c)
& card(c287,card_c)
& sort(c287,ent)
& varia(an_f__374hrer_1_1,varia_c)
& refer(an_f__374hrer_1_1,refer_c)
& quant(an_f__374hrer_1_1,one)
& gener(an_f__374hrer_1_1,ge)
& fact(an_f__374hrer_1_1,real)
& etype(an_f__374hrer_1_1,int0)
& card(an_f__374hrer_1_1,int1)
& sort(an_f__374hrer_1_1,d)
& varia(c26,con)
& refer(c26,det)
& quant(c26,one)
& gener(c26,sp)
& fact(c26,real)
& etype(c26,int0)
& card(c26,int1)
& sort(c26,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(c131,varia_c)
& refer(c131,indet)
& quant(c131,one)
& gener(c131,sp)
& fact(c131,real)
& etype(c131,int0)
& card(c131,int1)
& sort(c131,na)
& varia(c130,con)
& refer(c130,det)
& quant(c130,one)
& gener(c130,sp)
& fact(c130,real)
& etype(c130,int0)
& card(c130,int1)
& sort(c130,io)
& sort(c130,d)
& varia(wahl_1_1,varia_c)
& refer(wahl_1_1,refer_c)
& quant(wahl_1_1,one)
& gener(wahl_1_1,ge)
& fact(wahl_1_1,real)
& etype(wahl_1_1,int0)
& card(wahl_1_1,int1)
& sort(wahl_1_1,ad)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& sort(demokratisch__1_1,nq)
& varia(c111,varia_c)
& refer(c111,refer_c)
& quant(c111,one)
& gener(c111,ge)
& fact(c111,real)
& etype(c111,int0)
& card(c111,int1)
& sort(c111,ad)
& varia(c109,con)
& refer(c109,det)
& quant(c109,mult)
& gener(c109,sp)
& fact(c109,real)
& etype(c109,int1)
& card(c109,cons(x_constant,cons(int1,nil)))
& sort(c109,ad)
& varia(c85,varia_c)
& refer(c85,det)
& quant(c85,one)
& gener(c85,sp)
& fact(c85,real)
& etype(c85,int0)
& card(c85,int1)
& sort(c85,as)
& varia(c101,varia_c)
& refer(c101,det)
& quant(c101,one)
& gener(c101,sp)
& fact(c101,real)
& etype(c101,int0)
& card(c101,int1)
& sort(c101,o)
& sub(freiheitspartei_1_1,partei_1_1)
& assoc(freiheitspartei_1_1,freiheit_1_1)
& assoc(demokratisch__1_1,demokratie__1_1)
& subs(c85,absicht_1_1)
& val(c78,mandela_0)
& sub(c78,familiename_1_1)
& val(c77,nelson_0)
& sub(c77,eigenname_1_1)
& sub(c76,mensch_1_1)
& attr(c76,c78)
& attr(c76,c77)
& sub(c67,kongre__337_1_1)
& sub(c63,national_2_1)
& prop(c63,afrikanisch__1_1)
& attch(c63,c59)
& sub(c59,pr__344sident_1_1)
& subs(c53,treffen_3_1)
& val(c45,buthelezi_0)
& sub(c45,familiename_1_1)
& val(c44,mangosuthu_0)
& sub(c44,eigenname_1_1)
& sub(c43,mensch_1_1)
& attr(c43,c45)
& attr(c43,c44)
& sub(c34,freiheitspartei_1_1)
& sub(c30,inkatha_1_1)
& attch(c30,c26)
& tupl_p11(c287,c26,c34,c43,c53,c59,c67,c76,c85,c109,c130)
& sub(c26,an_f__374hrer_1_1)
& val(c131,s__374dafrika_0)
& sub(c131,name_1_1)
& sub(c130,land_1_1)
& attr(c130,c131)
& pmod(c111,erst_1_1,wahl_1_1)
& prop(c109,demokratisch__1_1)
& preds(c109,c111)
& attch(c101,c85) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_qapn_175) ).
fof(synth_qa07_010_qapn_175,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_qapn_175) ).
fof(synth_qa07_010_qapn_175_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_qapn_175]) ).
cnf(c_153,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_223,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_224,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_225,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_226,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_227,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_230,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_231,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_267,plain,
attr(c130,c131),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_269,plain,
sub(c131,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_270,plain,
val(c131,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_289,plain,
attr(c76,c77),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_290,plain,
attr(c76,c78),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_291,plain,
sub(c76,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_292,plain,
sub(c77,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_293,plain,
val(c77,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_294,plain,
sub(c78,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_295,plain,
val(c78,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_qapn_175]) ).
cnf(c_613,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_qapn_175_neg]) ).
cnf(c_1609,plain,
( arg1(sK0(c77,A,c76),c76)
| ~ sub(c77,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_223,c_289]) ).
cnf(c_1610,plain,
( arg1(sK0(c77,eigenname_1_1,c76),c76)
| ~ sub(c77,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1609,c_153]) ).
cnf(c_773,plain,
arg1(sK0(c77,eigenname_1_1,c76),c76),
inference(resolve,[status(thm)],[c_1610,c_292]) ).
cnf(c_1611,plain,
( arg2(sK0(c77,A,c76),c76)
| ~ sub(c77,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_224,c_289]) ).
cnf(c_1612,plain,
( arg2(sK0(c77,eigenname_1_1,c76),c76)
| ~ sub(c77,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1611,c_153]) ).
cnf(c_781,plain,
arg2(sK0(c77,eigenname_1_1,c76),c76),
inference(resolve,[status(thm)],[c_1612,c_292]) ).
cnf(c_1613,plain,
( subs(sK0(c77,A,c76),hei__337en_1_1)
| ~ sub(c77,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_225,c_289]) ).
cnf(c_1614,plain,
( subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1)
| ~ sub(c77,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1613,c_153]) ).
cnf(c_783,plain,
subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1614,c_292]) ).
cnf(c_1615,plain,
( subr(sK1(sK0(c77,eigenname_1_1,c76),c76,A),rprs_0)
| ~ subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1)
| ~ arg2(sK0(c77,eigenname_1_1,c76),A) ),
inference(resolve,[status(thm)],[c_231,c_773]) ).
cnf(c_1616,plain,
( subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1615,c_781]) ).
cnf(c_1319,plain,
subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0),
inference(resolve,[status(thm)],[c_1616,c_783]) ).
cnf(c_1617,plain,
( obj(sK2(sK0(c77,eigenname_1_1,c76),c76,A),c76)
| ~ subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1)
| ~ arg2(sK0(c77,eigenname_1_1,c76),A) ),
inference(resolve,[status(thm)],[c_230,c_773]) ).
cnf(c_1618,plain,
( obj(sK2(sK0(c77,eigenname_1_1,c76),c76,c76),c76)
| ~ subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1617,c_781]) ).
cnf(c_1320,plain,
obj(sK2(sK0(c77,eigenname_1_1,c76),c76,c76),c76),
inference(resolve,[status(thm)],[c_1618,c_783]) ).
cnf(c_1619,plain,
( arg2(sK1(sK0(c77,eigenname_1_1,c76),c76,A),A)
| ~ subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1)
| ~ arg2(sK0(c77,eigenname_1_1,c76),A) ),
inference(resolve,[status(thm)],[c_227,c_773]) ).
cnf(c_1620,plain,
( arg2(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76)
| ~ subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1619,c_781]) ).
cnf(c_1323,plain,
arg2(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76),
inference(resolve,[status(thm)],[c_1620,c_783]) ).
cnf(c_1621,plain,
( arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,A),c76)
| ~ subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1)
| ~ arg2(sK0(c77,eigenname_1_1,c76),A) ),
inference(resolve,[status(thm)],[c_226,c_773]) ).
cnf(c_1622,plain,
( arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76)
| ~ subs(sK0(c77,eigenname_1_1,c76),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1621,c_781]) ).
cnf(c_1324,plain,
arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76),
inference(resolve,[status(thm)],[c_1622,c_783]) ).
cnf(c_1623,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c76,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(c77,eigenname_1_1,c76),c76,c76),A) ),
inference(resolve,[status(thm)],[c_613,c_1323]) ).
cnf(c_1624,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c78,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c76,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c78,familiename_1_1)
| ~ obj(D,c76)
| ~ attr(B,C)
| ~ attr(c76,A)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1623,c_290]) ).
cnf(c_1625,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ val(c78,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c76,D)
| ~ sub(c77,eigenname_1_1)
| ~ sub(c78,familiename_1_1)
| ~ obj(C,c76)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1624,c_289]) ).
cnf(c_1626,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ val(c78,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ sub(c131,name_1_1)
| ~ sub(c76,B)
| ~ sub(c77,eigenname_1_1)
| ~ sub(c78,familiename_1_1)
| ~ obj(A,c76)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1625,c_267]) ).
cnf(c_1627,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ val(c78,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ sub(c131,name_1_1)
| ~ sub(c76,A)
| ~ sub(c77,eigenname_1_1)
| ~ sub(c78,familiename_1_1)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1626,c_1320]) ).
cnf(c_1628,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ val(c78,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ sub(c131,name_1_1)
| ~ sub(c76,A)
| ~ sub(c77,eigenname_1_1)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1627,c_294]) ).
cnf(c_1629,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ val(c78,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ sub(c131,name_1_1)
| ~ sub(c76,A)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1628,c_292]) ).
cnf(c_1630,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ val(c78,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ sub(c131,name_1_1)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1629,c_291]) ).
cnf(c_1631,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ val(c78,mandela_0)
| ~ subr(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),rprs_0)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1630,c_269]) ).
cnf(c_1632,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ val(c78,mandela_0)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1631,c_1319]) ).
cnf(c_1633,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ val(c77,nelson_0)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1632,c_295]) ).
cnf(c_1634,negated_conjecture,
( ~ val(c131,s__374dafrika_0)
| ~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76) ),
inference(resolve,[status(thm)],[c_1633,c_293]) ).
cnf(c_1635,negated_conjecture,
~ arg1(sK1(sK0(c77,eigenname_1_1,c76),c76,c76),c76),
inference(resolve,[status(thm)],[c_1634,c_270]) ).
cnf(c_1608,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1324,c_1635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+46 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n014.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 27 01:15:52 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.37 % Process 302064 was started by sandbox on n014,
% 0.10/5.37 % Sun Sep 27 01:15:52 2026
% 0.10/5.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/5.62
% 0.13/5.62 % SInE (scan): 83 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10077 zapped, of 10188 axioms (depth 3).
% 0.13/5.62
% 0.13/5.62 % From the command line: assign(max_seconds, 300).
% 0.13/5.62
% 0.13/5.62 % given #500 (A,wt=10): 640 mcont(f28(c77,eigenname_1_1,c76),c76). [ur(125,a,289,a,b,153,a,c,292,a)].
% 0.13/5.62
% 0.13/5.62 % given #1000 (T,wt=5): 1151 has_gener_leq(c77,gener_c). [ur(156,a,565,a,b,158,a)].
% 0.13/5.62
% 0.13/5.62 % SZS status Theorem for theBenchmark
% 0.13/5.62
% 0.13/5.62 % Proof 1 at 0.14 (+ 0.04) seconds.
% 0.13/5.62 % Length of proof is 32.
% 0.13/5.62 % Level of proof is 4.
% 0.13/5.62 % Maximum clause weight is 44.000.
% 0.13/5.62 % Given clauses 1208.
% 0.13/5.62
% 0.13/5.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------