%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+12 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 07:07:50 AM UTC 2026
% Result : Theorem 5.25s 1.19s
% Output : CNFRefutation 5.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 752 ( 0 equ)
% Maximal formula atoms : 448 ( 11 avg)
% Number of connectives : 876 ( 190 ~; 175 |; 509 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 448 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-11 aty)
% Number of functors : 98 ( 98 usr; 94 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_1705,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(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(c98,con)
& refer(c98,det)
& quant(c98,one)
& gener(c98,sp)
& fact(c98,real)
& etype(c98,int0)
& card(c98,int1)
& sort(c98,o)
& 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(c67,varia_c)
& refer(c67,refer_c)
& quant(c67,quant_c)
& gener(c67,gener_c)
& fact(c67,real)
& etype(c67,etype_c)
& card(c67,card_c)
& sort(c67,ent)
& varia(c94,con)
& refer(c94,det)
& quant(c94,one)
& gener(c94,sp)
& fact(c94,real)
& etype(c94,int0)
& card(c94,int1)
& sort(c94,d)
& varia(c355,varia_c)
& refer(c355,refer_c)
& quant(c355,quant_c)
& gener(c355,gener_c)
& fact(c355,real)
& etype(c355,etype_c)
& card(c355,card_c)
& sort(c355,ent)
& card(c17,int3)
& sort(c17,nu)
& varia(monat_1_1,varia_c)
& refer(monat_1_1,refer_c)
& quant(monat_1_1,quant_c)
& gener(monat_1_1,ge)
& fact(monat_1_1,real)
& etype(monat_1_1,etype_c)
& card(monat_1_1,card_c)
& sort(monat_1_1,ta)
& sort(monat_1_1,oa)
& sort(monat_1_1,me)
& sort(s__374dafrika_0,fe)
& 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(c199,varia_c)
& refer(c199,indet)
& quant(c199,one)
& gener(c199,sp)
& fact(c199,real)
& etype(c199,int0)
& card(c199,int1)
& sort(c199,na)
& varia(c198,con)
& refer(c198,det)
& quant(c198,one)
& gener(c198,sp)
& fact(c198,real)
& etype(c198,int0)
& card(c198,int1)
& sort(c198,io)
& sort(c198,d)
& card(c16,int1)
& sort(c16,nu)
& varia(tag_1_1,varia_c)
& refer(tag_1_1,refer_c)
& quant(tag_1_1,quant_c)
& gener(tag_1_1,ge)
& fact(tag_1_1,real)
& etype(tag_1_1,etype_c)
& card(tag_1_1,card_c)
& sort(tag_1_1,ta)
& sort(tag_1_1,oa)
& sort(tag_1_1,me)
& varia(c20,varia_c)
& refer(c20,refer_c)
& quant(c20,quant_c)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,etype_c)
& card(c20,card_c)
& sort(c20,ta)
& sort(c20,oa)
& sort(c20,me)
& varia(c19,varia_c)
& refer(c19,refer_c)
& quant(c19,quant_c)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,etype_c)
& card(c19,card_c)
& sort(c19,ta)
& sort(c19,oa)
& sort(c19,me)
& varia(c18,con)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,t)
& 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(c179,varia_c)
& refer(c179,refer_c)
& quant(c179,one)
& gener(c179,ge)
& fact(c179,real)
& etype(c179,int0)
& card(c179,int1)
& sort(c179,ad)
& varia(c177,con)
& refer(c177,det)
& quant(c177,mult)
& gener(c177,sp)
& fact(c177,real)
& etype(c177,int1)
& card(c177,cons(x_constant,cons(int1,nil)))
& sort(c177,ad)
& varia(c169,varia_c)
& refer(c169,det)
& quant(c169,one)
& gener(c169,sp)
& fact(c169,real)
& etype(c169,int0)
& card(c169,int1)
& sort(c169,o)
& 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)
& varia(c153,varia_c)
& refer(c153,det)
& quant(c153,one)
& gener(c153,sp)
& fact(c153,real)
& etype(c153,int0)
& card(c153,int1)
& sort(c153,as)
& sort(mandela_0,fe)
& sort(nelson_0,fe)
& varia(c146,varia_c)
& refer(c146,indet)
& quant(c146,one)
& gener(c146,sp)
& fact(c146,real)
& etype(c146,int0)
& card(c146,int1)
& sort(c146,na)
& varia(c145,varia_c)
& refer(c145,indet)
& quant(c145,one)
& gener(c145,sp)
& fact(c145,real)
& etype(c145,int0)
& card(c145,int1)
& sort(c145,na)
& varia(c144,con)
& refer(c144,det)
& quant(c144,one)
& gener(c144,sp)
& fact(c144,real)
& etype(c144,int0)
& card(c144,int1)
& sort(c144,d)
& 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(c135,varia_c)
& refer(c135,refer_c)
& quant(c135,one)
& gener(c135,gener_c)
& fact(c135,real)
& etype(c135,int0)
& card(c135,int1)
& sort(c135,io)
& sort(c135,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(c131,con)
& refer(c131,det)
& quant(c131,one)
& gener(c131,sp)
& fact(c131,real)
& etype(c131,int0)
& card(c131,int1)
& sort(c131,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(c127,con)
& refer(c127,det)
& quant(c127,one)
& gener(c127,sp)
& fact(c127,real)
& etype(c127,int0)
& card(c127,int1)
& sort(c127,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)
& varia(c121,varia_c)
& refer(c121,indet)
& quant(c121,one)
& gener(c121,sp)
& fact(c121,real)
& etype(c121,int0)
& card(c121,int1)
& sort(c121,ad)
& sort(johannesburg_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)
& 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(c113,varia_c)
& refer(c113,indet)
& quant(c113,one)
& gener(c113,sp)
& fact(c113,real)
& etype(c113,int0)
& card(c113,int1)
& sort(c113,na)
& varia(c112,varia_c)
& refer(c112,indet)
& quant(c112,one)
& gener(c112,sp)
& fact(c112,real)
& etype(c112,int0)
& card(c112,int1)
& sort(c112,na)
& varia(c111,con)
& refer(c111,det)
& quant(c111,one)
& gener(c111,sp)
& fact(c111,real)
& etype(c111,int0)
& card(c111,int1)
& sort(c111,d)
& 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)
& varia(c12,varia_c)
& refer(c12,indet)
& quant(c12,one)
& gener(c12,sp)
& fact(c12,real)
& etype(c12,int0)
& card(c12,int1)
& sort(c12,na)
& varia(c11,con)
& refer(c11,det)
& quant(c11,one)
& gener(c11,sp)
& fact(c11,real)
& etype(c11,int0)
& card(c11,int1)
& sort(c11,io)
& sort(c11,d)
& 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(c102,varia_c)
& refer(c102,refer_c)
& quant(c102,one)
& gener(c102,gener_c)
& fact(c102,real)
& etype(c102,int1)
& card(c102,int1)
& sort(c102,io)
& sort(c102,d)
& sub(freiheitspartei_1_1,partei_1_1)
& assoc(freiheitspartei_1_1,freiheit_1_1)
& assoc(demokratisch__1_1,demokratie__1_1)
& sub(c98,inkatha_1_1)
& attch(c98,c94)
& sub(c94,an_f__374hrer_1_1)
& tupl(c67,c11,c18)
& tupl_p11(c355,c94,c102,c111,c121,c127,c135,c144,c153,c177,c198)
& val(c20,c17)
& sub(c20,monat_1_1)
& val(c199,s__374dafrika_0)
& sub(c199,name_1_1)
& sub(c198,land_1_1)
& attr(c198,c199)
& val(c19,c16)
& sub(c19,tag_1_1)
& attr(c18,c20)
& attr(c18,c19)
& pmod(c179,erst_1_1,wahl_1_1)
& prop(c177,demokratisch__1_1)
& preds(c177,c179)
& attch(c169,c153)
& subs(c153,absicht_1_1)
& val(c146,mandela_0)
& sub(c146,familiename_1_1)
& val(c145,nelson_0)
& sub(c145,eigenname_1_1)
& sub(c144,mensch_1_1)
& attr(c144,c146)
& attr(c144,c145)
& sub(c135,kongre__337_1_1)
& sub(c131,national_2_1)
& prop(c131,afrikanisch__1_1)
& attch(c131,c127)
& sub(c127,pr__344sident_1_1)
& subs(c121,treffen_3_1)
& val(c12,johannesburg_0)
& sub(c12,name_1_1)
& val(c113,buthelezi_0)
& sub(c113,familiename_1_1)
& val(c112,mangosuthu_0)
& sub(c112,eigenname_1_1)
& sub(c111,mensch_1_1)
& attr(c111,c113)
& attr(c111,c112)
& sub(c11,stadt__1_1)
& attr(c11,c12)
& sub(c102,freiheitspartei_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1705) ).
fof(synth_qa07_010_mira_news_1705,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_1705) ).
fof(synth_qa07_010_mira_news_1705_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_1705]) ).
cnf(c_164,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_40,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_40]) ).
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_247,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_248,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_249,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_41,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_41]) ).
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_250,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_251,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_254,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_255,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_308,plain,
attr(c144,c145),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_309,plain,
attr(c144,c146),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_310,plain,
sub(c144,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_311,plain,
sub(c145,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_312,plain,
val(c145,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_313,plain,
sub(c146,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_314,plain,
val(c146,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_324,plain,
attr(c198,c199),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_326,plain,
sub(c199,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_327,plain,
val(c199,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1705]) ).
cnf(c_738,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_1705_neg]) ).
cnf(c_1945,plain,
( arg1(sK0(c145,A,c144),c144)
| ~ sub(c145,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_247,c_308]) ).
cnf(c_1946,plain,
( arg1(sK0(c145,eigenname_1_1,c144),c144)
| ~ sub(c145,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1945,c_164]) ).
cnf(c_902,plain,
arg1(sK0(c145,eigenname_1_1,c144),c144),
inference(resolve,[status(thm)],[c_1946,c_311]) ).
cnf(c_1947,plain,
( arg2(sK0(c145,A,c144),c144)
| ~ sub(c145,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_248,c_308]) ).
cnf(c_1948,plain,
( arg2(sK0(c145,eigenname_1_1,c144),c144)
| ~ sub(c145,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1947,c_164]) ).
cnf(c_913,plain,
arg2(sK0(c145,eigenname_1_1,c144),c144),
inference(resolve,[status(thm)],[c_1948,c_311]) ).
cnf(c_1949,plain,
( subs(sK0(c145,A,c144),hei__337en_1_1)
| ~ sub(c145,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_249,c_308]) ).
cnf(c_1950,plain,
( subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1)
| ~ sub(c145,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1949,c_164]) ).
cnf(c_915,plain,
subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1950,c_311]) ).
cnf(c_1951,plain,
( subr(sK1(sK0(c145,eigenname_1_1,c144),c144,A),rprs_0)
| ~ subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1)
| ~ arg2(sK0(c145,eigenname_1_1,c144),A) ),
inference(resolve,[status(thm)],[c_255,c_902]) ).
cnf(c_1952,plain,
( subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1951,c_913]) ).
cnf(c_1607,plain,
subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0),
inference(resolve,[status(thm)],[c_1952,c_915]) ).
cnf(c_1953,plain,
( obj(sK2(sK0(c145,eigenname_1_1,c144),c144,A),c144)
| ~ subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1)
| ~ arg2(sK0(c145,eigenname_1_1,c144),A) ),
inference(resolve,[status(thm)],[c_254,c_902]) ).
cnf(c_1954,plain,
( obj(sK2(sK0(c145,eigenname_1_1,c144),c144,c144),c144)
| ~ subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1953,c_913]) ).
cnf(c_1608,plain,
obj(sK2(sK0(c145,eigenname_1_1,c144),c144,c144),c144),
inference(resolve,[status(thm)],[c_1954,c_915]) ).
cnf(c_1955,plain,
( arg2(sK1(sK0(c145,eigenname_1_1,c144),c144,A),A)
| ~ subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1)
| ~ arg2(sK0(c145,eigenname_1_1,c144),A) ),
inference(resolve,[status(thm)],[c_251,c_902]) ).
cnf(c_1956,plain,
( arg2(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144)
| ~ subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1955,c_913]) ).
cnf(c_1611,plain,
arg2(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144),
inference(resolve,[status(thm)],[c_1956,c_915]) ).
cnf(c_1957,plain,
( arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,A),c144)
| ~ subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1)
| ~ arg2(sK0(c145,eigenname_1_1,c144),A) ),
inference(resolve,[status(thm)],[c_250,c_902]) ).
cnf(c_1958,plain,
( arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144)
| ~ subs(sK0(c145,eigenname_1_1,c144),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1957,c_913]) ).
cnf(c_1612,plain,
arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144),
inference(resolve,[status(thm)],[c_1958,c_915]) ).
cnf(c_1959,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c144,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(c145,eigenname_1_1,c144),c144,c144),A) ),
inference(resolve,[status(thm)],[c_738,c_1611]) ).
cnf(c_1960,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c146,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c144,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c146,familiename_1_1)
| ~ obj(D,c144)
| ~ attr(B,C)
| ~ attr(c144,A)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1959,c_309]) ).
cnf(c_1961,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ val(c146,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c144,D)
| ~ sub(c145,eigenname_1_1)
| ~ sub(c146,familiename_1_1)
| ~ obj(C,c144)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1960,c_308]) ).
cnf(c_1962,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ val(c146,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ sub(c199,name_1_1)
| ~ sub(c144,B)
| ~ sub(c145,eigenname_1_1)
| ~ sub(c146,familiename_1_1)
| ~ obj(A,c144)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1961,c_324]) ).
cnf(c_1963,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ val(c146,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ sub(c199,name_1_1)
| ~ sub(c144,A)
| ~ sub(c145,eigenname_1_1)
| ~ sub(c146,familiename_1_1)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1962,c_1608]) ).
cnf(c_1964,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ val(c146,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ sub(c199,name_1_1)
| ~ sub(c144,A)
| ~ sub(c145,eigenname_1_1)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1963,c_313]) ).
cnf(c_1965,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ val(c146,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ sub(c199,name_1_1)
| ~ sub(c144,A)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1964,c_311]) ).
cnf(c_1966,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ val(c146,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ sub(c199,name_1_1)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1965,c_310]) ).
cnf(c_1967,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ val(c146,mandela_0)
| ~ subr(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),rprs_0)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1966,c_326]) ).
cnf(c_1968,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ val(c146,mandela_0)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1967,c_1607]) ).
cnf(c_1969,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ val(c145,nelson_0)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1968,c_314]) ).
cnf(c_1970,negated_conjecture,
( ~ val(c199,s__374dafrika_0)
| ~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144) ),
inference(resolve,[status(thm)],[c_1969,c_312]) ).
cnf(c_1971,negated_conjecture,
~ arg1(sK1(sK0(c145,eigenname_1_1,c144),c144,c144),c144),
inference(resolve,[status(thm)],[c_1970,c_327]) ).
cnf(c_1944,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1612,c_1971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+12 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.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 01:14:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2621086 was started by sandbox2 on n019,
% 0.08/0.35 % Sun Sep 27 01:14:03 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 5.25/1.19
% 5.25/1.19 % SInE (scan): 98 to sos (tol 1.5x), 29 to usable (tol 2.0x), 10061 zapped, of 10188 axioms (depth 3).
% 5.25/1.19
% 5.25/1.19 % From the command line: assign(max_seconds, 300).
% 5.25/1.19
% 5.25/1.19 % given #500 (A,wt=5): 662 sort(c17,nu) # tptp_name(ave07_era5_synth_qa07_010_mira_news_1705) # sine_depth(1). [clausify(51)].
% 5.25/1.19
% 5.25/1.19 % given #1000 (T,wt=5): 1185 has_etype_leq(c153,etype_c). [ur(80,a,536,a)].
% 5.25/1.19
% 5.25/1.19 % SZS status Theorem for theBenchmark
% 5.25/1.19
% 5.25/1.19 % Proof 1 at 0.60 (+ 0.12) seconds.
% 5.25/1.19 % Length of proof is 32.
% 5.25/1.19 % Level of proof is 4.
% 5.25/1.19 % Maximum clause weight is 44.000.
% 5.25/1.19 % Given clauses 1474.
% 5.25/1.19
% 5.25/1.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
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