%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+3 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:07:55 AM UTC 2026
% Result : Theorem 3.89s 1.07s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 23 unt; 0 def)
% Number of atoms : 658 ( 0 equ)
% Maximal formula atoms : 317 ( 9 avg)
% Number of connectives : 809 ( 221 ~; 204 |; 382 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 317 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 84 ( 84 usr; 80 con; 0-3 aty)
% Number of variables : 135 ( 12 sgn 50 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(attr_name_hei__337en_1_1,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('theBenchmark.p',attr_name_hei__337en_1_1) ).
fof(hei__337en_1_1__bezeichnen_1_1_als,axiom,
! [X0,X1,X2] :
( ( subs(X0,hei__337en_1_1)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) ),
file('theBenchmark.p',hei__337en_1_1__bezeichnen_1_1_als) ).
fof(ave07_era5_synth_qa07_010_mira_news_1596,axiom,
( gener(equ_0,gener_c)
& fact(equ_0,real)
& sort(equ_0,st)
& gener(c55,sp)
& fact(c55,real)
& sort(c55,st)
& varia(freude_1_1,varia_c)
& refer(freude_1_1,refer_c)
& quant(freude_1_1,one)
& gener(freude_1_1,ge)
& fact(freude_1_1,real)
& etype(freude_1_1,int0)
& card(freude_1_1,int1)
& sort(freude_1_1,ad)
& sort(ausgelassen_1_1,ql)
& varia(c52,con)
& refer(c52,det)
& quant(c52,one)
& gener(c52,sp)
& fact(c52,real)
& etype(c52,int0)
& card(c52,int1)
& sort(c52,ad)
& varia(vereidigung_1_1,varia_c)
& refer(vereidigung_1_1,refer_c)
& quant(vereidigung_1_1,one)
& gener(vereidigung_1_1,ge)
& fact(vereidigung_1_1,real)
& etype(vereidigung_1_1,int0)
& card(vereidigung_1_1,int1)
& sort(vereidigung_1_1,ad)
& varia(feier__1_1,varia_c)
& refer(feier__1_1,refer_c)
& quant(feier__1_1,one)
& gener(feier__1_1,ge)
& fact(feier__1_1,real)
& etype(feier__1_1,int0)
& card(feier__1_1,int1)
& sort(feier__1_1,ad)
& sort(afrikanisch__1_1,nq)
& varia(c43,con)
& refer(c43,det)
& quant(c43,one)
& gener(c43,sp)
& fact(c43,real)
& etype(c43,int0)
& card(c43,int1)
& sort(c43,ad)
& varia(c31,varia_c)
& refer(c31,refer_c)
& quant(c31,quant_c)
& gener(c31,gener_c)
& fact(c31,real)
& etype(c31,etype_c)
& card(c31,card_c)
& sort(c31,ent)
& varia(dienstag__1_1,varia_c)
& refer(dienstag__1_1,refer_c)
& quant(dienstag__1_1,one)
& gener(dienstag__1_1,ge)
& fact(dienstag__1_1,real)
& etype(dienstag__1_1,int0)
& card(dienstag__1_1,int1)
& sort(dienstag__1_1,ta)
& varia(c199,con)
& refer(c199,det)
& quant(c199,one)
& gener(c199,sp)
& fact(c199,real)
& etype(c199,int0)
& card(c199,int1)
& sort(c199,ta)
& sort(mandela_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& sort(nelson_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& sort(schwarz_1_1,tq)
& varia(c212,con)
& refer(c212,det)
& quant(c212,one)
& gener(c212,sp)
& fact(c212,real)
& etype(c212,int0)
& card(c212,int1)
& sort(c212,l)
& varia(c195,varia_c)
& refer(c195,indet)
& quant(c195,one)
& gener(c195,sp)
& fact(c195,real)
& etype(c195,int0)
& card(c195,int1)
& sort(c195,na)
& varia(c194,varia_c)
& refer(c194,indet)
& quant(c194,one)
& gener(c194,sp)
& fact(c194,real)
& etype(c194,int0)
& card(c194,int1)
& sort(c194,na)
& card(c16,int5)
& sort(c16,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(c188,varia_c)
& refer(c188,indet)
& quant(c188,one)
& gener(c188,sp)
& fact(c188,real)
& etype(c188,int0)
& card(c188,int1)
& sort(c188,na)
& varia(c193,con)
& refer(c193,det)
& quant(c193,one)
& gener(c193,sp)
& fact(c193,real)
& etype(c193,int0)
& card(c193,int1)
& sort(c193,d)
& varia(c187,con)
& refer(c187,det)
& quant(c187,one)
& gener(c187,sp)
& fact(c187,real)
& etype(c187,int0)
& card(c187,int1)
& sort(c187,io)
& sort(c187,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(c183,varia_c)
& refer(c183,refer_c)
& quant(c183,one)
& gener(c183,ge)
& fact(c183,real)
& etype(c183,int0)
& card(c183,int1)
& sort(c183,d)
& card(c15,int10)
& sort(c15,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(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,varia_c)
& refer(c18,refer_c)
& quant(c18,quant_c)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,etype_c)
& card(c18,card_c)
& sort(c18,ta)
& sort(c18,oa)
& sort(c18,me)
& varia(c17,con)
& refer(c17,det)
& quant(c17,one)
& gener(c17,sp)
& fact(c17,real)
& etype(c17,int0)
& card(c17,int1)
& sort(c17,t)
& sort(pretoria_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(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(hauptsstadt_1_1,varia_c)
& refer(hauptsstadt_1_1,refer_c)
& quant(hauptsstadt_1_1,one)
& gener(hauptsstadt_1_1,ge)
& fact(hauptsstadt_1_1,real)
& etype(hauptsstadt_1_1,int0)
& card(hauptsstadt_1_1,int1)
& sort(hauptsstadt_1_1,io)
& sort(hauptsstadt_1_1,d)
& varia(c210,varia_c)
& refer(c210,indet)
& quant(c210,one)
& gener(c210,sp)
& fact(c210,real)
& etype(c210,int0)
& card(c210,int1)
& sort(c210,na)
& 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)
& sub(hauptsstadt_1_1,stadt__1_1)
& subr(c55,equ_0)
& arg2(c55,c43)
& arg1(c55,c43)
& subs(c52,freude_1_1)
& prop(c52,ausgelassen_1_1)
& attch(c52,c43)
& temp(c43,c199)
& subs(c43,vereidigung_1_1)
& subs(c43,feier__1_1)
& prop(c43,afrikanisch__1_1)
& obj(c43,c193)
& equ(c43,c43)
& tupl(c31,c11,c17)
& in(c212,c11)
& val(c210,pretoria_0)
& sub(c210,name_1_1)
& sub(c199,dienstag__1_1)
& val(c195,mandela_0)
& sub(c195,familiename_1_1)
& val(c194,nelson_0)
& sub(c194,eigenname_1_1)
& sub(c193,c183)
& prop(c193,schwarz_1_1)
& loc(c193,c212)
& attr(c193,c195)
& attr(c193,c194)
& val(c19,c16)
& sub(c19,monat_1_1)
& val(c188,s__374dafrika_0)
& sub(c188,name_1_1)
& sub(c187,land_1_1)
& attr(c187,c188)
& attch(c187,c193)
& pmod(c183,erst_1_1,pr__344sident_1_1)
& val(c18,c15)
& sub(c18,tag_1_1)
& attr(c17,c19)
& attr(c17,c18)
& val(c12,pretoria_0)
& sub(c12,name_1_1)
& sub(c11,stadt__1_1)
& sub(c11,hauptsstadt_1_1)
& attr(c11,c210)
& attr(c11,c12) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1596) ).
fof(synth_qa07_010_mira_news_1596,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('theBenchmark.p',synth_qa07_010_mira_news_1596) ).
fof(synth_qa07_010_mira_news_1596_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1596]) ).
cnf(c_144,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_225,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_226,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_227,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_228,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_229,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_232,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_233,plain,
( subr(sK1(A,B,C),rprs_0)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_276,plain,
pmod(c183,erst_1_1,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_278,plain,
attr(c187,c188),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_280,plain,
sub(c188,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_281,plain,
val(c188,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_284,plain,
attr(c193,c194),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_285,plain,
attr(c193,c195),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_287,plain,
prop(c193,schwarz_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_288,plain,
sub(c193,c183),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_289,plain,
sub(c194,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_290,plain,
val(c194,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_291,plain,
sub(c195,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_292,plain,
val(c195,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1596]) ).
cnf(c_583,negated_conjecture,
( ~ val(V7,s__374dafrika_0)
| ~ val(F,nelson_0)
| ~ val(E,mandela_0)
| ~ subr(B,rprs_0)
| ~ sub(V7,name_1_1)
| ~ sub(D,A)
| ~ sub(F,eigenname_1_1)
| ~ sub(E,familiename_1_1)
| ~ prop(D,schwarz_1_1)
| ~ obj(V8,C)
| ~ attr(V6,V7)
| ~ attr(C,F)
| ~ attr(C,E)
| ~ arg2(B,D)
| ~ arg1(B,C)
| ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_news_1596_neg]) ).
cnf(c_1440,plain,
( arg1(sK0(c194,A,c193),c193)
| ~ sub(c194,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_225,c_284]) ).
cnf(c_1441,plain,
( arg1(sK0(c194,eigenname_1_1,c193),c193)
| ~ sub(c194,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1440,c_144]) ).
cnf(c_733,plain,
arg1(sK0(c194,eigenname_1_1,c193),c193),
inference(resolve,[status(thm)],[c_1441,c_289]) ).
cnf(c_1442,plain,
( arg2(sK0(c194,A,c193),c193)
| ~ sub(c194,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_226,c_284]) ).
cnf(c_1443,plain,
( arg2(sK0(c194,eigenname_1_1,c193),c193)
| ~ sub(c194,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1442,c_144]) ).
cnf(c_739,plain,
arg2(sK0(c194,eigenname_1_1,c193),c193),
inference(resolve,[status(thm)],[c_1443,c_289]) ).
cnf(c_1444,plain,
( subs(sK0(c194,A,c193),hei__337en_1_1)
| ~ sub(c194,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_227,c_284]) ).
cnf(c_1445,plain,
( subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1)
| ~ sub(c194,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1444,c_144]) ).
cnf(c_740,plain,
subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1445,c_289]) ).
cnf(c_1446,plain,
( subr(sK1(sK0(c194,eigenname_1_1,c193),c193,A),rprs_0)
| ~ subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1)
| ~ arg2(sK0(c194,eigenname_1_1,c193),A) ),
inference(resolve,[status(thm)],[c_233,c_733]) ).
cnf(c_1447,plain,
( subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1446,c_739]) ).
cnf(c_1198,plain,
subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0),
inference(resolve,[status(thm)],[c_1447,c_740]) ).
cnf(c_1448,plain,
( obj(sK2(sK0(c194,eigenname_1_1,c193),c193,A),c193)
| ~ subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1)
| ~ arg2(sK0(c194,eigenname_1_1,c193),A) ),
inference(resolve,[status(thm)],[c_232,c_733]) ).
cnf(c_1449,plain,
( obj(sK2(sK0(c194,eigenname_1_1,c193),c193,c193),c193)
| ~ subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1448,c_739]) ).
cnf(c_1199,plain,
obj(sK2(sK0(c194,eigenname_1_1,c193),c193,c193),c193),
inference(resolve,[status(thm)],[c_1449,c_740]) ).
cnf(c_1450,plain,
( arg2(sK1(sK0(c194,eigenname_1_1,c193),c193,A),A)
| ~ subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1)
| ~ arg2(sK0(c194,eigenname_1_1,c193),A) ),
inference(resolve,[status(thm)],[c_229,c_733]) ).
cnf(c_1451,plain,
( arg2(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193)
| ~ subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1450,c_739]) ).
cnf(c_1202,plain,
arg2(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193),
inference(resolve,[status(thm)],[c_1451,c_740]) ).
cnf(c_1452,plain,
( arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,A),c193)
| ~ subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1)
| ~ arg2(sK0(c194,eigenname_1_1,c193),A) ),
inference(resolve,[status(thm)],[c_228,c_733]) ).
cnf(c_1453,plain,
( arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193)
| ~ subs(sK0(c194,eigenname_1_1,c193),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1452,c_739]) ).
cnf(c_1203,plain,
arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193),
inference(resolve,[status(thm)],[c_1453,c_740]) ).
cnf(c_1454,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,c183)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ prop(C,schwarz_1_1)
| ~ obj(V7,B)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_583,c_276]) ).
cnf(c_1455,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c193,c183)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ prop(c193,schwarz_1_1)
| ~ obj(F,A)
| ~ attr(D,E)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),A) ),
inference(resolve,[status(thm)],[c_1454,c_1202]) ).
cnf(c_1456,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c193,c183)
| ~ sub(A,eigenname_1_1)
| ~ sub(c195,familiename_1_1)
| ~ prop(c193,schwarz_1_1)
| ~ obj(D,c193)
| ~ attr(B,C)
| ~ attr(c193,A)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1455,c_285]) ).
cnf(c_1457,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c193,c183)
| ~ sub(c194,eigenname_1_1)
| ~ sub(c195,familiename_1_1)
| ~ prop(c193,schwarz_1_1)
| ~ obj(C,c193)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1456,c_284]) ).
cnf(c_1458,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(c188,name_1_1)
| ~ sub(c193,c183)
| ~ sub(c194,eigenname_1_1)
| ~ sub(c195,familiename_1_1)
| ~ prop(c193,schwarz_1_1)
| ~ obj(A,c193)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1457,c_278]) ).
cnf(c_1459,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(c188,name_1_1)
| ~ sub(c193,c183)
| ~ sub(c194,eigenname_1_1)
| ~ sub(c195,familiename_1_1)
| ~ prop(c193,schwarz_1_1)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1458,c_1199]) ).
cnf(c_1460,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(c188,name_1_1)
| ~ sub(c193,c183)
| ~ sub(c194,eigenname_1_1)
| ~ sub(c195,familiename_1_1)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1459,c_287]) ).
cnf(c_1461,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(c188,name_1_1)
| ~ sub(c193,c183)
| ~ sub(c194,eigenname_1_1)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1460,c_291]) ).
cnf(c_1462,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(c188,name_1_1)
| ~ sub(c193,c183)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1461,c_289]) ).
cnf(c_1463,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ sub(c188,name_1_1)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1462,c_288]) ).
cnf(c_1464,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ subr(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),rprs_0)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1463,c_280]) ).
cnf(c_1465,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ val(c195,mandela_0)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1464,c_1198]) ).
cnf(c_1466,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ val(c194,nelson_0)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1465,c_292]) ).
cnf(c_1467,negated_conjecture,
( ~ val(c188,s__374dafrika_0)
| ~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193) ),
inference(resolve,[status(thm)],[c_1466,c_290]) ).
cnf(c_1468,negated_conjecture,
~ arg1(sK1(sK0(c194,eigenname_1_1,c193),c193,c193),c193),
inference(resolve,[status(thm)],[c_1467,c_281]) ).
cnf(c_1439,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1203,c_1468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 01:14:51 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 3939372 was started by sandbox on n013,
% 0.13/0.36 % Sun Sep 27 01:14:51 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 3.89/1.07
% 3.89/1.07 % SInE (scan): 97 to sos (tol 1.5x), 24 to usable (tol 2.0x), 10067 zapped, of 10188 axioms (depth 3).
% 3.89/1.07
% 3.89/1.07 % From the command line: assign(max_seconds, 300).
% 3.89/1.07
% 3.89/1.07 % given #500 (A,wt=5): 643 has_fact_leq(c12,real). [ur(153,a,323,a)].
% 3.89/1.07
% 3.89/1.07 % given #1000 (T,wt=5): 1141 sort_leq(feier__1_1,abs). [ur(163,a,544,a,b,597,a)].
% 3.89/1.07
% 3.89/1.07 % SZS status Theorem for theBenchmark
% 3.89/1.07
% 3.89/1.07 % Proof 1 at 0.26 (+ 0.06) seconds.
% 3.89/1.07 % Length of proof is 34.
% 3.89/1.07 % Level of proof is 4.
% 3.89/1.07 % Maximum clause weight is 109.000.
% 3.89/1.07 % Given clauses 1083.
% 3.89/1.07
% 3.89/1.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------