%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+1 : 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 : n026.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 07:07:52 AM UTC 2026
% Result : Theorem 2.66s 0.86s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 72 ( 23 unt; 0 def)
% Number of atoms : 585 ( 0 equ)
% Maximal formula atoms : 230 ( 8 avg)
% Number of connectives : 731 ( 218 ~; 202 |; 307 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 230 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-7 aty)
% Number of functors : 64 ( 64 usr; 59 con; 0-3 aty)
% Number of variables : 170 ( 13 sgn 74 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(member_second,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('theBenchmark.p',member_second) ).
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_1588,axiom,
( varia(nachfolger_1_1,varia_c)
& refer(nachfolger_1_1,refer_c)
& quant(nachfolger_1_1,one)
& gener(nachfolger_1_1,ge)
& fact(nachfolger_1_1,real)
& etype(nachfolger_1_1,int0)
& card(nachfolger_1_1,int1)
& sort(nachfolger_1_1,d)
& sort(mandela_0,fe)
& 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(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(c56,varia_c)
& refer(c56,det)
& quant(c56,one)
& gener(c56,sp)
& fact(c56,real)
& etype(c56,int0)
& card(c56,int1)
& sort(c56,na)
& varia(c55,varia_c)
& refer(c55,indet)
& quant(c55,one)
& gener(c55,sp)
& fact(c55,real)
& etype(c55,int0)
& card(c55,int1)
& sort(c55,na)
& sort(anc_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(c48,varia_c)
& refer(c48,indet)
& quant(c48,one)
& gener(c48,sp)
& fact(c48,real)
& etype(c48,int0)
& card(c48,int1)
& sort(c48,na)
& varia(voraussicht_1_1,varia_c)
& refer(voraussicht_1_1,refer_c)
& quant(voraussicht_1_1,one)
& gener(voraussicht_1_1,ge)
& fact(voraussicht_1_1,real)
& etype(voraussicht_1_1,int0)
& card(voraussicht_1_1,int1)
& sort(voraussicht_1_1,ad)
& varia(c59,varia_c)
& refer(c59,refer_c)
& quant(c59,one)
& gener(c59,gener_c)
& fact(c59,real)
& etype(c59,int0)
& card(c59,int1)
& sort(c59,d)
& varia(c54,varia_c)
& refer(c54,det)
& quant(c54,one)
& gener(c54,sp)
& fact(c54,real)
& etype(c54,int0)
& card(c54,int1)
& sort(c54,d)
& varia(c47,con)
& refer(c47,det)
& quant(c47,one)
& gener(c47,sp)
& fact(c47,real)
& etype(c47,int1)
& card(c47,int1)
& sort(c47,io)
& sort(c47,d)
& varia(c41,con)
& refer(c41,det)
& quant(c41,one)
& gener(c41,gener_c)
& fact(c41,real)
& etype(c41,int0)
& card(c41,int1)
& sort(c41,ad)
& varia(c228,varia_c)
& refer(c228,refer_c)
& quant(c228,quant_c)
& gener(c228,gener_c)
& fact(c228,real)
& etype(c228,etype_c)
& card(c228,card_c)
& sort(c228,ent)
& 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(c171,varia_c)
& refer(c171,indet)
& quant(c171,one)
& gener(c171,sp)
& fact(c171,real)
& etype(c171,int0)
& card(c171,int1)
& sort(c171,na)
& varia(c170,con)
& refer(c170,det)
& quant(c170,one)
& gener(c170,sp)
& fact(c170,real)
& etype(c170,int0)
& card(c170,int1)
& sort(c170,io)
& sort(c170,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(c161,varia_c)
& refer(c161,refer_c)
& quant(c161,one)
& gener(c161,ge)
& fact(c161,real)
& etype(c161,int0)
& card(c161,int1)
& sort(c161,d)
& sort(schwarz_1_1,tq)
& varia(c159,con)
& refer(c159,det)
& quant(c159,one)
& gener(c159,sp)
& fact(c159,real)
& etype(c159,int0)
& card(c159,int1)
& sort(c159,d)
& sort(klerk_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)
& 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(c154,varia_c)
& refer(c154,indet)
& quant(c154,one)
& gener(c154,sp)
& fact(c154,real)
& etype(c154,int0)
& card(c154,int1)
& sort(c154,na)
& varia(c153,con)
& refer(c153,det)
& quant(c153,one)
& gener(c153,sp)
& fact(c153,real)
& etype(c153,int0)
& card(c153,int1)
& sort(c153,d)
& sub(c59,nachfolger_1_1)
& val(c56,mandela_0)
& sub(c56,familiename_1_1)
& val(c55,nelson_0)
& sub(c55,eigenname_1_1)
& sub(c54,an_f__374hrer_1_1)
& attr(c54,c56)
& attr(c54,c55)
& val(c48,anc_0)
& sub(c48,name_1_1)
& sub(c47,einrichtung_1_2)
& attr(c47,c48)
& subs(c41,voraussicht_1_1)
& tupl_p7(c228,c41,c47,c54,c59,c153,c159)
& val(c171,s__374dafrika_0)
& sub(c171,name_1_1)
& sub(c170,land_1_1)
& attr(c170,c171)
& attch(c170,c159)
& pmod(c161,erst_1_1,pr__344sident_1_1)
& sub(c159,c161)
& prop(c159,schwarz_1_1)
& val(c154,klerk_0)
& sub(c154,familiename_1_1)
& sub(c153,mensch_1_1)
& attr(c153,c154) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1588) ).
fof(attr_name__abk__374rzung_stehen_1_b_f__374r,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,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('theBenchmark.p',attr_name__abk__374rzung_stehen_1_b_f__374r) ).
fof(synth_qa07_010_mira_news_1588,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)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('theBenchmark.p',synth_qa07_010_mira_news_1588) ).
fof(synth_qa07_010_mira_news_1588_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)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1588]) ).
fof(nnf_66,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(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__abk__374rzung_stehen_1_b_f__374r]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r_sk,plain,
! [X0,X1,X2] :
( ( subs(sK0(X0,X1,X2),stehen_1_b)
& scar(sK0(X0,X1,X2),X2)
& obj(sK0(X0,X1,X2),X2)
& mcont(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_66]) ).
fof(sk_attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_1,VAR_2,VAR_0),stehen_1_b)
| ~ 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] :
( scar(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] :
( obj(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] :
( mcont(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__abk__374rzung_stehen_1_b_f__374r_sk]) ).
cnf(c_127,plain,
( obj(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__abk__374rzung_stehen_1_b_f__374r]) ).
cnf(c_155,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_156,plain,
( member(A,cons(C,B))
| ~ member(A,B) ),
inference(clausify,[status(thm)],[member_second]) ).
fof(nnf_38,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(sK1(X0,X1,X2),hei__337en_1_1)
& arg2(sK1(X0,X1,X2),X2)
& arg1(sK1(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,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[nnf_38]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK1(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(sK1(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(sK1(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(sK1(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(sK1(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(sK1(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_39,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(sK3(X0,X1,X2),bezeichnen_1_1)
& subr(sK2(X0,X1,X2),rprs_0)
& obj(sK3(X0,X1,X2),X1)
& mcont(sK3(X0,X1,X2),sK2(X0,X1,X2))
& hsit(X0,sK3(X0,X1,X2))
& arg2(sK2(X0,X1,X2),X2)
& arg1(sK2(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2))],[nnf_39]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK3(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(sK2(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(sK3(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(sK3(VAR_0,VAR_1,VAR_2),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] :
( hsit(VAR_0,sK3(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(sK2(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(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) ) ),
inference(cnf_transformation,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als_sk]) ).
cnf(c_226,plain,
( arg1(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(sK2(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_264,plain,
prop(c159,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_265,plain,
sub(c159,c161),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_266,plain,
pmod(c161,erst_1_1,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_268,plain,
attr(c170,c171),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_270,plain,
sub(c171,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_271,plain,
val(c171,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_278,plain,
attr(c54,c55),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_279,plain,
attr(c54,c56),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_281,plain,
sub(c55,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_282,plain,
val(c55,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_283,plain,
sub(c56,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_284,plain,
val(c56,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1588]) ).
cnf(c_490,negated_conjecture,
( ~ val(V6,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(B,rprs_0)
| ~ sub(V6,name_1_1)
| ~ sub(V8,A)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ prop(V8,schwarz_1_1)
| ~ obj(V7,C)
| ~ attr(F,V6)
| ~ attr(C,E)
| ~ attr(C,D)
| ~ arg1(B,C)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_news_1588_neg]) ).
cnf(c_491,plain,
member(A,cons(B,cons(A,C))),
inference(resolve,[status(thm)],[c_156,c_155]) ).
cnf(c_1157,plain,
( arg1(sK1(c55,A,c54),c54)
| ~ sub(c55,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_223,c_278]) ).
cnf(c_1158,plain,
( arg1(sK1(c55,eigenname_1_1,c54),c54)
| ~ sub(c55,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1157,c_155]) ).
cnf(c_678,plain,
arg1(sK1(c55,eigenname_1_1,c54),c54),
inference(resolve,[status(thm)],[c_1158,c_281]) ).
cnf(c_1159,plain,
( arg2(sK1(c55,A,c54),c54)
| ~ sub(c55,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_224,c_278]) ).
cnf(c_1160,plain,
( arg2(sK1(c55,eigenname_1_1,c54),c54)
| ~ sub(c55,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1159,c_155]) ).
cnf(c_685,plain,
arg2(sK1(c55,eigenname_1_1,c54),c54),
inference(resolve,[status(thm)],[c_1160,c_281]) ).
cnf(c_1161,plain,
( subs(sK1(c55,A,c54),hei__337en_1_1)
| ~ sub(c55,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_225,c_278]) ).
cnf(c_1162,plain,
( subs(sK1(c55,eigenname_1_1,c54),hei__337en_1_1)
| ~ sub(c55,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1161,c_155]) ).
cnf(c_686,plain,
subs(sK1(c55,eigenname_1_1,c54),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1162,c_281]) ).
cnf(c_1163,plain,
( obj(sK0(c56,A,c54),c54)
| ~ sub(c56,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_127,c_279]) ).
cnf(c_1164,plain,
( obj(sK0(c56,familiename_1_1,c54),c54)
| ~ sub(c56,familiename_1_1) ),
inference(resolve,[status(thm)],[c_1163,c_491]) ).
cnf(c_908,plain,
obj(sK0(c56,familiename_1_1,c54),c54),
inference(resolve,[status(thm)],[c_1164,c_283]) ).
cnf(c_1165,plain,
( subr(sK2(sK1(c55,eigenname_1_1,c54),c54,A),rprs_0)
| ~ subs(sK1(c55,eigenname_1_1,c54),hei__337en_1_1)
| ~ arg2(sK1(c55,eigenname_1_1,c54),A) ),
inference(resolve,[status(thm)],[c_231,c_678]) ).
cnf(c_1166,plain,
( subr(sK2(sK1(c55,eigenname_1_1,c54),c54,c54),rprs_0)
| ~ subs(sK1(c55,eigenname_1_1,c54),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1165,c_685]) ).
cnf(c_964,plain,
subr(sK2(sK1(c55,eigenname_1_1,c54),c54,c54),rprs_0),
inference(resolve,[status(thm)],[c_1166,c_686]) ).
cnf(c_1167,plain,
( arg1(sK2(sK1(c55,eigenname_1_1,c54),c54,A),c54)
| ~ subs(sK1(c55,eigenname_1_1,c54),hei__337en_1_1)
| ~ arg2(sK1(c55,eigenname_1_1,c54),A) ),
inference(resolve,[status(thm)],[c_226,c_678]) ).
cnf(c_1168,plain,
( arg1(sK2(sK1(c55,eigenname_1_1,c54),c54,c54),c54)
| ~ subs(sK1(c55,eigenname_1_1,c54),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1167,c_685]) ).
cnf(c_969,plain,
arg1(sK2(sK1(c55,eigenname_1_1,c54),c54,c54),c54),
inference(resolve,[status(thm)],[c_1168,c_686]) ).
cnf(c_1169,negated_conjecture,
( ~ val(F,s__374dafrika_0)
| ~ val(D,nelson_0)
| ~ val(C,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(F,name_1_1)
| ~ sub(V7,c161)
| ~ sub(D,eigenname_1_1)
| ~ sub(C,familiename_1_1)
| ~ prop(V7,schwarz_1_1)
| ~ obj(V6,B)
| ~ attr(E,F)
| ~ attr(B,D)
| ~ attr(B,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_490,c_266]) ).
cnf(c_1170,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(F,c161)
| ~ sub(B,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ prop(F,schwarz_1_1)
| ~ obj(E,c54)
| ~ attr(C,D)
| ~ attr(c54,B)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1169,c_279]) ).
cnf(c_1171,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(E,c161)
| ~ sub(c55,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ prop(E,schwarz_1_1)
| ~ obj(D,c54)
| ~ attr(B,C)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1170,c_278]) ).
cnf(c_1172,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c171,name_1_1)
| ~ sub(C,c161)
| ~ sub(c55,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ prop(C,schwarz_1_1)
| ~ obj(B,c54)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1171,c_268]) ).
cnf(c_1173,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c171,name_1_1)
| ~ sub(B,c161)
| ~ sub(c55,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ prop(B,schwarz_1_1)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1172,c_908]) ).
cnf(c_1174,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c171,name_1_1)
| ~ sub(c159,c161)
| ~ sub(c55,eigenname_1_1)
| ~ sub(c56,familiename_1_1)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1173,c_264]) ).
cnf(c_1175,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c171,name_1_1)
| ~ sub(c159,c161)
| ~ sub(c55,eigenname_1_1)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1174,c_283]) ).
cnf(c_1176,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c171,name_1_1)
| ~ sub(c159,c161)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1175,c_281]) ).
cnf(c_1177,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(c171,name_1_1)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1176,c_265]) ).
cnf(c_1178,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ subr(A,rprs_0)
| ~ arg1(A,c54) ),
inference(resolve,[status(thm)],[c_1177,c_270]) ).
cnf(c_1179,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ val(c56,mandela_0)
| ~ arg1(sK2(sK1(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1178,c_964]) ).
cnf(c_1180,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ val(c55,nelson_0)
| ~ arg1(sK2(sK1(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1179,c_284]) ).
cnf(c_1181,negated_conjecture,
( ~ val(c171,s__374dafrika_0)
| ~ arg1(sK2(sK1(c55,eigenname_1_1,c54),c54,c54),c54) ),
inference(resolve,[status(thm)],[c_1180,c_282]) ).
cnf(c_1182,negated_conjecture,
~ arg1(sK2(sK1(c55,eigenname_1_1,c54),c54,c54),c54),
inference(resolve,[status(thm)],[c_1181,c_271]) ).
cnf(c_1156,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_969,c_1182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 01:17:11 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 2349287 was started by sandbox2 on n026,
% 0.09/0.37 % Sun Sep 27 01:17:11 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.66/0.86
% 2.66/0.86 % SInE (scan): 81 to sos (tol 1.5x), 27 to usable (tol 2.0x), 10080 zapped, of 10188 axioms (depth 3).
% 2.66/0.86
% 2.66/0.86 % From the command line: assign(max_seconds, 300).
% 2.66/0.86
% 2.66/0.86 % given #500 (A,wt=5): 654 has_etype_leq(land_1_1,int0). [ur(173,a,366,a)].
% 2.66/0.86
% 2.66/0.86 % SZS status Theorem for theBenchmark
% 2.66/0.86
% 2.66/0.86 % Proof 1 at 0.22 (+ 0.08) seconds.
% 2.66/0.86 % Length of proof is 36.
% 2.66/0.86 % Level of proof is 4.
% 2.66/0.86 % Maximum clause weight is 112.000.
% 2.66/0.86 % Given clauses 818.
% 2.66/0.86
% 2.66/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------