%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+15 : 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 07:07:51 AM UTC 2026
% Result : Theorem 2.42s 0.82s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 627 ( 0 equ)
% Maximal formula atoms : 323 ( 9 avg)
% Number of connectives : 751 ( 190 ~; 175 |; 384 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 323 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-8 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_mira_news_1724,axiom,
( varia(problem_1_1,varia_c)
& refer(problem_1_1,refer_c)
& quant(problem_1_1,one)
& gener(problem_1_1,ge)
& fact(problem_1_1,real)
& etype(problem_1_1,int0)
& card(problem_1_1,int1)
& sort(problem_1_1,io)
& sort(problem_1_1,as)
& gener(schulden_2_1,ge)
& fact(schulden_2_1,real)
& sort(schulden_2_1,st)
& gener(planen_1_1,ge)
& fact(planen_1_1,real)
& sort(planen_1_1,da)
& varia(be_ziehung_1_1,varia_c)
& refer(be_ziehung_1_1,refer_c)
& quant(be_ziehung_1_1,one)
& gener(be_ziehung_1_1,ge)
& fact(be_ziehung_1_1,real)
& etype(be_ziehung_1_1,int0)
& card(be_ziehung_1_1,int1)
& sort(be_ziehung_1_1,re)
& sort(be_ziehung_1_1,as)
& varia(gesch__344ft_1_2,varia_c)
& refer(gesch__344ft_1_2,refer_c)
& quant(gesch__344ft_1_2,one)
& gener(gesch__344ft_1_2,ge)
& fact(gesch__344ft_1_2,real)
& etype(gesch__344ft_1_2,int0)
& card(gesch__344ft_1_2,int1)
& sort(gesch__344ft_1_2,ad)
& varia(c37993,varia_c)
& refer(c37993,det)
& quant(c37993,one)
& gener(c37993,sp)
& fact(c37993,real)
& etype(c37993,int0)
& card(c37993,int1)
& sort(c37993,o)
& varia(c38071,varia_c)
& refer(c38071,refer_c)
& quant(c38071,quant_c)
& gener(c38071,gener_c)
& fact(c38071,real)
& etype(c38071,etype_c)
& card(c38071,card_c)
& sort(c38071,ent)
& sort(eu_0,fe)
& varia(einrichtung_1_2,varia_c)
& refer(einrichtung_1_2,refer_c)
& quant(einrichtung_1_2,quant_c)
& gener(einrichtung_1_2,ge)
& fact(einrichtung_1_2,real)
& etype(einrichtung_1_2,int1)
& card(einrichtung_1_2,card_c)
& sort(einrichtung_1_2,io)
& sort(einrichtung_1_2,d)
& varia(c38065,varia_c)
& refer(c38065,indet)
& quant(c38065,one)
& gener(c38065,sp)
& fact(c38065,real)
& etype(c38065,int0)
& card(c38065,int1)
& sort(c38065,na)
& varia(c38064,con)
& refer(c38064,det)
& quant(c38064,one)
& gener(c38064,sp)
& fact(c38064,real)
& etype(c38064,int1)
& card(c38064,int1)
& sort(c38064,io)
& sort(c38064,d)
& sort(afrikanisch__1_1,nq)
& varia(c38049,con)
& refer(c38049,det)
& quant(c38049,mult)
& gener(c38049,sp)
& fact(c38049,real)
& etype(c38049,int1)
& card(c38049,cons(x_constant,cons(int1,nil)))
& sort(c38049,io)
& sort(c38049,d)
& varia(gesch__344ftbeziehung_1_1,varia_c)
& refer(gesch__344ftbeziehung_1_1,refer_c)
& quant(gesch__344ftbeziehung_1_1,one)
& gener(gesch__344ftbeziehung_1_1,ge)
& fact(gesch__344ftbeziehung_1_1,real)
& etype(gesch__344ftbeziehung_1_1,int0)
& card(gesch__344ftbeziehung_1_1,int1)
& sort(gesch__344ftbeziehung_1_1,re)
& sort(gesch__344ftbeziehung_1_1,as)
& varia(c38044,con)
& refer(c38044,det)
& quant(c38044,mult)
& gener(c38044,sp)
& fact(c38044,real)
& etype(c38044,int1)
& card(c38044,cons(x_constant,cons(int1,nil)))
& sort(c38044,re)
& sort(c38044,as)
& varia(markt_1_1,varia_c)
& refer(markt_1_1,refer_c)
& quant(markt_1_1,one)
& gener(markt_1_1,ge)
& fact(markt_1_1,real)
& etype(markt_1_1,int0)
& card(markt_1_1,int1)
& sort(markt_1_1,d)
& sort(gemeinsam_1_1,tq)
& varia(schaffung_1_1,varia_c)
& refer(schaffung_1_1,refer_c)
& quant(schaffung_1_1,one)
& gener(schaffung_1_1,ge)
& fact(schaffung_1_1,real)
& etype(schaffung_1_1,int0)
& card(schaffung_1_1,int1)
& sort(schaffung_1_1,ad)
& varia(c38035,varia_c)
& refer(c38035,indet)
& quant(c38035,one)
& gener(c38035,sp)
& fact(c38035,real)
& etype(c38035,int0)
& card(c38035,int1)
& sort(c38035,d)
& sort(c37984,tq)
& varia(c38029,con)
& refer(c38029,det)
& quant(c38029,one)
& gener(c38029,sp)
& fact(c38029,real)
& etype(c38029,int0)
& card(c38029,int1)
& sort(c38029,ad)
& sort(afrika_0,fe)
& varia(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,one)
& gener(gebietsinstitution_1_1,ge)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,int0)
& card(gebietsinstitution_1_1,int1)
& sort(gebietsinstitution_1_1,io)
& sort(gebietsinstitution_1_1,d)
& varia(c38023,varia_c)
& refer(c38023,indet)
& quant(c38023,one)
& gener(c38023,sp)
& fact(c38023,real)
& etype(c38023,int0)
& card(c38023,int1)
& sort(c38023,na)
& varia(c38022,con)
& refer(c38022,det)
& quant(c38022,one)
& gener(c38022,sp)
& fact(c38022,real)
& etype(c38022,int0)
& card(c38022,int1)
& sort(c38022,io)
& sort(c38022,d)
& varia(schuldenproblem_1_1,varia_c)
& refer(schuldenproblem_1_1,refer_c)
& quant(schuldenproblem_1_1,one)
& gener(schuldenproblem_1_1,ge)
& fact(schuldenproblem_1_1,real)
& etype(schuldenproblem_1_1,int0)
& card(schuldenproblem_1_1,int1)
& sort(schuldenproblem_1_1,io)
& sort(schuldenproblem_1_1,as)
& varia(c38015,con)
& refer(c38015,det)
& quant(c38015,one)
& gener(c38015,sp)
& fact(c38015,real)
& etype(c38015,int0)
& card(c38015,int1)
& sort(c38015,io)
& sort(c38015,as)
& 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(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(c38008,varia_c)
& refer(c38008,indet)
& quant(c38008,one)
& gener(c38008,sp)
& fact(c38008,real)
& etype(c38008,int0)
& card(c38008,int1)
& sort(c38008,na)
& varia(c38007,varia_c)
& refer(c38007,indet)
& quant(c38007,one)
& gener(c38007,sp)
& fact(c38007,real)
& etype(c38007,int0)
& card(c38007,int1)
& sort(c38007,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(c38001,varia_c)
& refer(c38001,indet)
& quant(c38001,one)
& gener(c38001,sp)
& fact(c38001,real)
& etype(c38001,int0)
& card(c38001,int1)
& sort(c38001,na)
& varia(c38006,varia_c)
& refer(c38006,det)
& quant(c38006,one)
& gener(c38006,sp)
& fact(c38006,real)
& etype(c38006,int0)
& card(c38006,int1)
& sort(c38006,d)
& varia(c38000,con)
& refer(c38000,det)
& quant(c38000,one)
& gener(c38000,sp)
& fact(c38000,real)
& etype(c38000,int0)
& card(c38000,int1)
& sort(c38000,io)
& sort(c38000,d)
& varia(attribut__1_1,varia_c)
& refer(attribut__1_1,refer_c)
& quant(attribut__1_1,one)
& gener(attribut__1_1,ge)
& fact(attribut__1_1,real)
& etype(attribut__1_1,int0)
& card(attribut__1_1,int1)
& sort(attribut__1_1,na)
& sort(attribut__1_1,io)
& varia(c37989,varia_c)
& refer(c37989,det)
& quant(c37989,one)
& gener(c37989,sp)
& fact(c37989,real)
& etype(c37989,int0)
& card(c37989,int1)
& sort(c37989,na)
& sort(c37989,io)
& sub(schuldenproblem_1_1,problem_1_1)
& assoc(schuldenproblem_1_1,schulden_2_1)
& chsp2(planen_1_1,c37984)
& subr(gesch__344ftbeziehung_1_1,be_ziehung_1_1)
& assoc(gesch__344ftbeziehung_1_1,gesch__344ft_1_2)
& tupl_p8(c38071,c37989,c37993,c38006,c38015,c38029,c38044,c38064)
& val(c38065,eu_0)
& sub(c38065,name_1_1)
& sub(c38064,einrichtung_1_2)
& attr(c38064,c38065)
& prop(c38049,afrikanisch__1_1)
& pred(c38049,land_1_1)
& attch(c38049,c38044)
& predr(c38044,gesch__344ftbeziehung_1_1)
& sub(c38035,markt_1_1)
& prop(c38035,gemeinsam_1_1)
& subs(c38029,schaffung_1_1)
& rslt(c38029,c38035)
& prop(c38029,c37984)
& val(c38023,afrika_0)
& sub(c38023,name_1_1)
& sub(c38022,gebietsinstitution_1_1)
& attr(c38022,c38023)
& attch(c38022,c38015)
& sub(c38015,schuldenproblem_1_1)
& val(c38008,mandela_0)
& sub(c38008,familiename_1_1)
& val(c38007,nelson_0)
& sub(c38007,eigenname_1_1)
& sub(c38006,pr__344sident_1_1)
& attr(c38006,c38008)
& attr(c38006,c38007)
& val(c38001,s__374dafrika_0)
& sub(c38001,name_1_1)
& sub(c38000,land_1_1)
& attr(c38000,c38001)
& attch(c38000,c38006)
& sub(c37989,attribut__1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1724) ).
fof(synth_qa07_010_mira_news_1724,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_1724) ).
fof(synth_qa07_010_mira_news_1724_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_1724]) ).
cnf(c_160,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_239,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_240,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_241,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_242,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_243,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_246,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_247,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_283,plain,
attr(c38000,c38001),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_285,plain,
sub(c38001,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_286,plain,
val(c38001,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_287,plain,
attr(c38006,c38007),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_288,plain,
attr(c38006,c38008),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_289,plain,
sub(c38006,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_290,plain,
sub(c38007,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_291,plain,
val(c38007,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_292,plain,
sub(c38008,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_293,plain,
val(c38008,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1724]) ).
cnf(c_604,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_1724_neg]) ).
cnf(c_1516,plain,
( arg1(sK0(c38007,A,c38006),c38006)
| ~ sub(c38007,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_239,c_287]) ).
cnf(c_1517,plain,
( arg1(sK0(c38007,eigenname_1_1,c38006),c38006)
| ~ sub(c38007,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1516,c_160]) ).
cnf(c_779,plain,
arg1(sK0(c38007,eigenname_1_1,c38006),c38006),
inference(resolve,[status(thm)],[c_1517,c_290]) ).
cnf(c_1518,plain,
( arg2(sK0(c38007,A,c38006),c38006)
| ~ sub(c38007,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_240,c_287]) ).
cnf(c_1519,plain,
( arg2(sK0(c38007,eigenname_1_1,c38006),c38006)
| ~ sub(c38007,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1518,c_160]) ).
cnf(c_787,plain,
arg2(sK0(c38007,eigenname_1_1,c38006),c38006),
inference(resolve,[status(thm)],[c_1519,c_290]) ).
cnf(c_1520,plain,
( subs(sK0(c38007,A,c38006),hei__337en_1_1)
| ~ sub(c38007,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_241,c_287]) ).
cnf(c_1521,plain,
( subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1)
| ~ sub(c38007,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1520,c_160]) ).
cnf(c_788,plain,
subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1521,c_290]) ).
cnf(c_1522,plain,
( subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,A),rprs_0)
| ~ subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1)
| ~ arg2(sK0(c38007,eigenname_1_1,c38006),A) ),
inference(resolve,[status(thm)],[c_247,c_779]) ).
cnf(c_1523,plain,
( subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1522,c_787]) ).
cnf(c_1254,plain,
subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0),
inference(resolve,[status(thm)],[c_1523,c_788]) ).
cnf(c_1524,plain,
( obj(sK2(sK0(c38007,eigenname_1_1,c38006),c38006,A),c38006)
| ~ subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1)
| ~ arg2(sK0(c38007,eigenname_1_1,c38006),A) ),
inference(resolve,[status(thm)],[c_246,c_779]) ).
cnf(c_1525,plain,
( obj(sK2(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006)
| ~ subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1524,c_787]) ).
cnf(c_1255,plain,
obj(sK2(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006),
inference(resolve,[status(thm)],[c_1525,c_788]) ).
cnf(c_1526,plain,
( arg2(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,A),A)
| ~ subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1)
| ~ arg2(sK0(c38007,eigenname_1_1,c38006),A) ),
inference(resolve,[status(thm)],[c_243,c_779]) ).
cnf(c_1527,plain,
( arg2(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006)
| ~ subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1526,c_787]) ).
cnf(c_1258,plain,
arg2(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006),
inference(resolve,[status(thm)],[c_1527,c_788]) ).
cnf(c_1528,plain,
( arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,A),c38006)
| ~ subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1)
| ~ arg2(sK0(c38007,eigenname_1_1,c38006),A) ),
inference(resolve,[status(thm)],[c_242,c_779]) ).
cnf(c_1529,plain,
( arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006)
| ~ subs(sK0(c38007,eigenname_1_1,c38006),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1528,c_787]) ).
cnf(c_1259,plain,
arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006),
inference(resolve,[status(thm)],[c_1529,c_788]) ).
cnf(c_1530,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c38006,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(c38007,eigenname_1_1,c38006),c38006,c38006),A) ),
inference(resolve,[status(thm)],[c_604,c_1258]) ).
cnf(c_1531,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c38008,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c38006,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c38008,familiename_1_1)
| ~ obj(D,c38006)
| ~ attr(B,C)
| ~ attr(c38006,A)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1530,c_288]) ).
cnf(c_1532,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ val(c38008,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c38006,D)
| ~ sub(c38007,eigenname_1_1)
| ~ sub(c38008,familiename_1_1)
| ~ obj(C,c38006)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1531,c_287]) ).
cnf(c_1533,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ val(c38008,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ sub(c38001,name_1_1)
| ~ sub(c38006,B)
| ~ sub(c38007,eigenname_1_1)
| ~ sub(c38008,familiename_1_1)
| ~ obj(A,c38006)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1532,c_283]) ).
cnf(c_1534,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ val(c38008,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ sub(c38001,name_1_1)
| ~ sub(c38006,A)
| ~ sub(c38007,eigenname_1_1)
| ~ sub(c38008,familiename_1_1)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1533,c_1255]) ).
cnf(c_1535,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ val(c38008,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ sub(c38001,name_1_1)
| ~ sub(c38006,A)
| ~ sub(c38007,eigenname_1_1)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1534,c_292]) ).
cnf(c_1536,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ val(c38008,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ sub(c38001,name_1_1)
| ~ sub(c38006,A)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1535,c_290]) ).
cnf(c_1537,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ val(c38008,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ sub(c38001,name_1_1)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1536,c_289]) ).
cnf(c_1538,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ val(c38008,mandela_0)
| ~ subr(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),rprs_0)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1537,c_285]) ).
cnf(c_1539,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ val(c38008,mandela_0)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1538,c_1254]) ).
cnf(c_1540,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ val(c38007,nelson_0)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1539,c_293]) ).
cnf(c_1541,negated_conjecture,
( ~ val(c38001,s__374dafrika_0)
| ~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006) ),
inference(resolve,[status(thm)],[c_1540,c_291]) ).
cnf(c_1542,negated_conjecture,
~ arg1(sK1(sK0(c38007,eigenname_1_1,c38006),c38006,c38006),c38006),
inference(resolve,[status(thm)],[c_1541,c_286]) ).
cnf(c_1515,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1259,c_1542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR116+15 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 01:14:14 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 1921621 was started by sandbox on n011,
% 0.12/0.36 % Sun Sep 27 01:14:14 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 2.42/0.82
% 2.42/0.82 % SInE (scan): 94 to sos (tol 1.5x), 32 to usable (tol 2.0x), 10062 zapped, of 10188 axioms (depth 3).
% 2.42/0.82
% 2.42/0.82 % From the command line: assign(max_seconds, 300).
% 2.42/0.82
% 2.42/0.82 % given #500 (A,wt=5): 659 has_fact_leq(attribut__1_1,fact_c). [ur(170,a,332,a,b,171,a)].
% 2.42/0.82
% 2.42/0.82 % given #1000 (T,wt=5): 1158 has_gener_leq(problem_1_1,ge). [ur(162,a,600,a)].
% 2.42/0.82
% 2.42/0.82 % SZS status Theorem for theBenchmark
% 2.42/0.82
% 2.42/0.82 % Proof 1 at 0.22 (+ 0.06) seconds.
% 2.42/0.82 % Length of proof is 32.
% 2.42/0.82 % Level of proof is 4.
% 2.42/0.82 % Maximum clause weight is 44.000.
% 2.42/0.82 % Given clauses 1125.
% 2.42/0.82
% 2.42/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------