%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+14 : 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 : n008.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 2.16s 0.75s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 702 ( 0 equ)
% Maximal formula atoms : 315 ( 8 avg)
% Number of connectives : 852 ( 233 ~; 217 |; 399 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 315 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-7 aty)
% Number of functors : 83 ( 83 usr; 76 con; 0-3 aty)
% Number of variables : 191 ( 17 sgn 77 !; 32 ?)
% 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_1721,axiom,
( varia(rueckkehr_1_1,varia_c)
& refer(rueckkehr_1_1,refer_c)
& quant(rueckkehr_1_1,one)
& gener(rueckkehr_1_1,ge)
& fact(rueckkehr_1_1,real)
& etype(rueckkehr_1_1,int0)
& card(rueckkehr_1_1,int1)
& sort(rueckkehr_1_1,ad)
& varia(c103,varia_c)
& refer(c103,det)
& quant(c103,one)
& gener(c103,sp)
& fact(c103,real)
& etype(c103,int0)
& card(c103,int1)
& sort(c103,o)
& varia(sich_1_1,varia_c)
& refer(sich_1_1,refer_c)
& quant(sich_1_1,one)
& gener(sich_1_1,gener_c)
& fact(sich_1_1,real)
& etype(sich_1_1,int0)
& card(sich_1_1,int1)
& sort(sich_1_1,o)
& sort(winnie_0,fe)
& 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(c89,varia_c)
& refer(c89,indet)
& quant(c89,one)
& gener(c89,sp)
& fact(c89,real)
& etype(c89,int0)
& card(c89,int1)
& sort(c89,na)
& varia(c88,varia_c)
& refer(c88,indet)
& quant(c88,one)
& gener(c88,sp)
& fact(c88,real)
& etype(c88,int0)
& card(c88,int1)
& sort(c88,na)
& 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)
& sort(s__374dafrikanisch_1_1,nq)
& varia(c82,varia_c)
& refer(c82,indet)
& quant(c82,one)
& gener(c82,sp)
& fact(c82,real)
& etype(c82,int0)
& card(c82,int1)
& sort(c82,na)
& varia(c81,varia_c)
& refer(c81,indet)
& quant(c81,one)
& gener(c81,sp)
& fact(c81,real)
& etype(c81,int0)
& card(c81,int1)
& sort(c81,na)
& varia(c80,con)
& refer(c80,det)
& quant(c80,one)
& gener(c80,sp)
& fact(c80,real)
& etype(c80,int0)
& card(c80,int1)
& sort(c80,d)
& varia(frau_1_1,varia_c)
& refer(frau_1_1,refer_c)
& quant(frau_1_1,one)
& gener(frau_1_1,ge)
& fact(frau_1_1,real)
& etype(frau_1_1,int0)
& card(frau_1_1,int1)
& sort(frau_1_1,d)
& sort(anfechtbar_1_1,nq)
& varia(c47,varia_c)
& refer(c47,refer_c)
& quant(c47,quant_c)
& gener(c47,gener_c)
& fact(c47,real)
& etype(c47,etype_c)
& card(c47,card_c)
& sort(c47,ent)
& card(c20,int4)
& sort(c20,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)
& card(c19,int11)
& sort(c19,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(c23,varia_c)
& refer(c23,refer_c)
& quant(c23,quant_c)
& gener(c23,sp)
& fact(c23,real)
& etype(c23,etype_c)
& card(c23,card_c)
& sort(c23,ta)
& sort(c23,oa)
& sort(c23,me)
& varia(c22,varia_c)
& refer(c22,refer_c)
& quant(c22,quant_c)
& gener(c22,sp)
& fact(c22,real)
& etype(c22,etype_c)
& card(c22,card_c)
& sort(c22,ta)
& sort(c22,oa)
& sort(c22,me)
& varia(c21,con)
& refer(c21,det)
& quant(c21,one)
& gener(c21,sp)
& fact(c21,real)
& etype(c21,int0)
& card(c21,int1)
& sort(c21,t)
& varia(c99,varia_c)
& refer(c99,det)
& quant(c99,one)
& gener(c99,sp)
& fact(c99,real)
& etype(c99,int0)
& card(c99,int1)
& sort(c99,ad)
& varia(c93,varia_c)
& refer(c93,refer_c)
& quant(c93,one)
& gener(c93,gener_c)
& fact(c93,real)
& etype(c93,int0)
& card(c93,int1)
& sort(c93,o)
& varia(c87,con)
& refer(c87,det)
& quant(c87,one)
& gener(c87,sp)
& fact(c87,real)
& etype(c87,int0)
& card(c87,int1)
& sort(c87,d)
& varia(c71,con)
& refer(c71,det)
& quant(c71,one)
& gener(c71,sp)
& fact(c71,real)
& etype(c71,int0)
& card(c71,int1)
& sort(c71,d)
& varia(c160,varia_c)
& refer(c160,refer_c)
& quant(c160,quant_c)
& gener(c160,gener_c)
& fact(c160,real)
& etype(c160,etype_c)
& card(c160,card_c)
& sort(c160,ent)
& sort(kapstadt_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(c16,varia_c)
& refer(c16,indet)
& quant(c16,one)
& gener(c16,sp)
& fact(c16,real)
& etype(c16,int0)
& card(c16,int1)
& sort(c16,na)
& varia(c15,con)
& refer(c15,det)
& quant(c15,one)
& gener(c15,sp)
& fact(c15,real)
& etype(c15,int0)
& card(c15,int1)
& sort(c15,io)
& sort(c15,d)
& varia(gerichtsbarkeit_1_1,varia_c)
& refer(gerichtsbarkeit_1_1,refer_c)
& quant(gerichtsbarkeit_1_1,quant_c)
& gener(gerichtsbarkeit_1_1,ge)
& fact(gerichtsbarkeit_1_1,real)
& etype(gerichtsbarkeit_1_1,int1)
& card(gerichtsbarkeit_1_1,card_c)
& sort(gerichtsbarkeit_1_1,io)
& sort(gerichtsbarkeit_1_1,d)
& varia(c111,con)
& refer(c111,det)
& quant(c111,one)
& gener(c111,sp)
& fact(c111,real)
& etype(c111,int1)
& card(c111,int1)
& sort(c111,io)
& sort(c111,d)
& varia(regierung_1_1,varia_c)
& refer(regierung_1_1,refer_c)
& quant(regierung_1_1,quant_c)
& gener(regierung_1_1,ge)
& fact(regierung_1_1,real)
& etype(regierung_1_1,int1)
& card(regierung_1_1,card_c)
& sort(regierung_1_1,io)
& sort(regierung_1_1,d)
& varia(c106,con)
& refer(c106,det)
& quant(c106,one)
& gener(c106,sp)
& fact(c106,real)
& etype(c106,int1)
& card(c106,int1)
& sort(c106,io)
& sort(c106,d)
& subs(c99,rueckkehr_1_1)
& agt(c99,c103)
& sub(c93,sich_1_1)
& val(c89,mandela_0)
& sub(c89,familiename_1_1)
& val(c88,winnie_0)
& sub(c88,eigenname_1_1)
& sub(c87,mensch_1_1)
& attr(c87,c89)
& attr(c87,c88)
& val(c82,mandela_0)
& sub(c82,familiename_1_1)
& val(c81,nelson_0)
& sub(c81,eigenname_1_1)
& sub(c80,pr__344sident_1_1)
& prop(c80,s__374dafrikanisch_1_1)
& attr(c80,c82)
& attr(c80,c81)
& attch(c80,c71)
& sub(c71,frau_1_1)
& prop(c71,anfechtbar_1_1)
& tupl(c47,c15,c21)
& val(c23,c20)
& sub(c23,monat_1_1)
& val(c22,c19)
& sub(c22,tag_1_1)
& attr(c21,c23)
& attr(c21,c22)
& tupl_p7(c160,c71,c87,c93,c99,c106,c111)
& val(c16,kapstadt_0)
& sub(c16,name_1_1)
& sub(c15,stadt__1_1)
& attr(c15,c16)
& sub(c111,gerichtsbarkeit_1_1)
& sub(c106,regierung_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1721) ).
fof(state_adjective__in_state,axiom,
! [X0,X1,X2] :
( ( state_adjective_state_binding(X1,X2)
& prop(X0,X1) )
=> ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ),
file('theBenchmark.p',state_adjective__in_state) ).
fof(synth_qa07_010_mira_news_1721,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
file('theBenchmark.p',synth_qa07_010_mira_news_1721) ).
fof(synth_qa07_010_mira_news_1721_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1721]) ).
fof(nnf_64,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(fof_nnf,[status(thm)],[state_adjective__in_state]) ).
fof(sk_state_adjective__in_state_sk,plain,
! [X0,X1,X2] :
( ( val(sK2(X0,X1,X2),X2)
& sub(sK2(X0,X1,X2),name_1_1)
& sub(sK1(X0,X1,X2),land_1_1)
& loc(X0,sK0(X0,X1,X2))
& attr(sK1(X0,X1,X2),sK2(X0,X1,X2))
& in(sK0(X0,X1,X2),sK1(X0,X1,X2)) )
| ~ state_adjective_state_binding(X1,X2)
| ~ prop(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2)),skolemize(X5,sK0(X0,X1,X2))],[nnf_64]) ).
fof(sk_state_adjective__in_state,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( val(sK2(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK2(VAR_0,VAR_1,VAR_2),name_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK1(VAR_0,VAR_1,VAR_2),land_1_1)
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( loc(VAR_0,sK0(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( attr(sK1(VAR_0,VAR_1,VAR_2),sK2(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( in(sK0(VAR_0,VAR_1,VAR_2),sK1(VAR_0,VAR_1,VAR_2))
| ~ state_adjective_state_binding(VAR_1,VAR_2)
| ~ prop(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_state_adjective__in_state_sk]) ).
cnf(c_115,plain,
( in(sK0(A,B,C),sK1(A,B,C))
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
cnf(c_116,plain,
( attr(sK1(A,B,C),sK2(A,B,C))
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
cnf(c_119,plain,
( sub(sK2(A,B,C),name_1_1)
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
cnf(c_120,plain,
( val(sK2(A,B,C),C)
| ~ state_adjective_state_binding(B,C)
| ~ prop(A,B) ),
inference(split_conjunct,[status(thm)],[sk_state_adjective__in_state]) ).
fof(fact_8980,axiom,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
file('theBenchmark.p',fact_8980) ).
cnf(c_155,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_159,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_43,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(sK3(X0,X1,X2),hei__337en_1_1)
& arg2(sK3(X0,X1,X2),X2)
& arg1(sK3(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,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[nnf_43]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK3(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(sK3(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(sK3(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_244,plain,
( arg1(sK3(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_245,plain,
( arg2(sK3(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_246,plain,
( subs(sK3(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_44,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(sK5(X0,X1,X2),bezeichnen_1_1)
& subr(sK4(X0,X1,X2),rprs_0)
& obj(sK5(X0,X1,X2),X1)
& mcont(sK5(X0,X1,X2),sK4(X0,X1,X2))
& hsit(X0,sK5(X0,X1,X2))
& arg2(sK4(X0,X1,X2),X2)
& arg1(sK4(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2))],[nnf_44]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK5(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(sK4(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(sK5(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(sK5(VAR_0,VAR_1,VAR_2),sK4(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,sK5(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(sK4(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(sK4(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_247,plain,
( arg1(sK4(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_248,plain,
( arg2(sK4(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_251,plain,
( obj(sK5(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_252,plain,
( subr(sK4(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_290,plain,
attr(c80,c81),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1721]) ).
cnf(c_291,plain,
attr(c80,c82),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1721]) ).
cnf(c_292,plain,
prop(c80,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1721]) ).
cnf(c_293,plain,
sub(c80,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1721]) ).
cnf(c_294,plain,
sub(c81,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1721]) ).
cnf(c_295,plain,
val(c81,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1721]) ).
cnf(c_296,plain,
sub(c82,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1721]) ).
cnf(c_297,plain,
val(c82,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1721]) ).
cnf(c_588,negated_conjecture,
( ~ val(V7,s__374dafrika_0)
| ~ val(V6,nelson_0)
| ~ val(F,mandela_0)
| ~ subr(C,rprs_0)
| ~ sub(V7,name_1_1)
| ~ sub(E,V9)
| ~ sub(V6,eigenname_1_1)
| ~ sub(F,familiename_1_1)
| ~ obj(V8,D)
| ~ attr(B,V7)
| ~ attr(D,V6)
| ~ attr(D,F)
| ~ arg2(C,E)
| ~ arg1(C,D)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_news_1721_neg]) ).
cnf(c_1537,plain,
( val(sK2(c80,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_120,c_292]) ).
cnf(c_610,plain,
val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_1537,c_155]) ).
cnf(c_1538,plain,
( sub(sK2(c80,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_119,c_292]) ).
cnf(c_611,plain,
sub(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_1538,c_155]) ).
cnf(c_1539,plain,
( attr(sK1(c80,s__374dafrikanisch_1_1,A),sK2(c80,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_116,c_292]) ).
cnf(c_614,plain,
attr(sK1(c80,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1539,c_155]) ).
cnf(c_1540,plain,
( in(sK0(c80,s__374dafrikanisch_1_1,A),sK1(c80,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_115,c_292]) ).
cnf(c_615,plain,
in(sK0(c80,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c80,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1540,c_155]) ).
cnf(c_1541,plain,
( arg1(sK3(c81,A,c80),c80)
| ~ sub(c81,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_244,c_290]) ).
cnf(c_1542,plain,
( arg1(sK3(c81,eigenname_1_1,c80),c80)
| ~ sub(c81,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1541,c_159]) ).
cnf(c_797,plain,
arg1(sK3(c81,eigenname_1_1,c80),c80),
inference(resolve,[status(thm)],[c_1542,c_294]) ).
cnf(c_1543,plain,
( arg2(sK3(c81,A,c80),c80)
| ~ sub(c81,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_245,c_290]) ).
cnf(c_1544,plain,
( arg2(sK3(c81,eigenname_1_1,c80),c80)
| ~ sub(c81,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1543,c_159]) ).
cnf(c_808,plain,
arg2(sK3(c81,eigenname_1_1,c80),c80),
inference(resolve,[status(thm)],[c_1544,c_294]) ).
cnf(c_1545,plain,
( subs(sK3(c81,A,c80),hei__337en_1_1)
| ~ sub(c81,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_246,c_290]) ).
cnf(c_1546,plain,
( subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1)
| ~ sub(c81,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1545,c_159]) ).
cnf(c_810,plain,
subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1546,c_294]) ).
cnf(c_1547,plain,
( subr(sK4(sK3(c81,eigenname_1_1,c80),c80,A),rprs_0)
| ~ subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1)
| ~ arg2(sK3(c81,eigenname_1_1,c80),A) ),
inference(resolve,[status(thm)],[c_252,c_797]) ).
cnf(c_1548,plain,
( subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1547,c_808]) ).
cnf(c_1236,plain,
subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0),
inference(resolve,[status(thm)],[c_1548,c_810]) ).
cnf(c_1549,plain,
( obj(sK5(sK3(c81,eigenname_1_1,c80),c80,A),c80)
| ~ subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1)
| ~ arg2(sK3(c81,eigenname_1_1,c80),A) ),
inference(resolve,[status(thm)],[c_251,c_797]) ).
cnf(c_1550,plain,
( obj(sK5(sK3(c81,eigenname_1_1,c80),c80,c80),c80)
| ~ subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1549,c_808]) ).
cnf(c_1237,plain,
obj(sK5(sK3(c81,eigenname_1_1,c80),c80,c80),c80),
inference(resolve,[status(thm)],[c_1550,c_810]) ).
cnf(c_1551,plain,
( arg2(sK4(sK3(c81,eigenname_1_1,c80),c80,A),A)
| ~ subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1)
| ~ arg2(sK3(c81,eigenname_1_1,c80),A) ),
inference(resolve,[status(thm)],[c_248,c_797]) ).
cnf(c_1552,plain,
( arg2(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80)
| ~ subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1551,c_808]) ).
cnf(c_1240,plain,
arg2(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80),
inference(resolve,[status(thm)],[c_1552,c_810]) ).
cnf(c_1553,plain,
( arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,A),c80)
| ~ subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1)
| ~ arg2(sK3(c81,eigenname_1_1,c80),A) ),
inference(resolve,[status(thm)],[c_247,c_797]) ).
cnf(c_1554,plain,
( arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80)
| ~ subs(sK3(c81,eigenname_1_1,c80),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1553,c_808]) ).
cnf(c_1241,plain,
arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80),
inference(resolve,[status(thm)],[c_1554,c_810]) ).
cnf(c_1555,negated_conjecture,
( ~ val(F,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(F,name_1_1)
| ~ sub(C,V7)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ obj(V6,B)
| ~ attr(sK1(c80,s__374dafrikanisch_1_1,s__374dafrika_0),F)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(resolve,[status(thm)],[c_588,c_615]) ).
cnf(c_1556,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c80,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c80,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),A) ),
inference(resolve,[status(thm)],[c_1555,c_1240]) ).
cnf(c_1557,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c82,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c80,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c82,familiename_1_1)
| ~ obj(C,c80)
| ~ attr(sK1(c80,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c80,A)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1556,c_291]) ).
cnf(c_1558,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ val(c82,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c80,C)
| ~ sub(c81,eigenname_1_1)
| ~ sub(c82,familiename_1_1)
| ~ obj(B,c80)
| ~ attr(sK1(c80,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1557,c_290]) ).
cnf(c_1559,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ val(c82,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ sub(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c80,B)
| ~ sub(c81,eigenname_1_1)
| ~ sub(c82,familiename_1_1)
| ~ obj(A,c80)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1558,c_614]) ).
cnf(c_1560,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ val(c82,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ sub(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c80,A)
| ~ sub(c81,eigenname_1_1)
| ~ sub(c82,familiename_1_1)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1559,c_1237]) ).
cnf(c_1561,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ val(c82,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ sub(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c80,A)
| ~ sub(c81,eigenname_1_1)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1560,c_296]) ).
cnf(c_1562,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ val(c82,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ sub(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c80,A)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1561,c_294]) ).
cnf(c_1563,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ val(c82,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ sub(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1562,c_293]) ).
cnf(c_1564,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ val(c82,mandela_0)
| ~ subr(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),rprs_0)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1563,c_611]) ).
cnf(c_1565,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ val(c82,mandela_0)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1564,c_1236]) ).
cnf(c_1566,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c81,nelson_0)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1565,c_297]) ).
cnf(c_1567,negated_conjecture,
( ~ val(sK2(c80,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80) ),
inference(resolve,[status(thm)],[c_1566,c_295]) ).
cnf(c_1568,negated_conjecture,
~ arg1(sK4(sK3(c81,eigenname_1_1,c80),c80,c80),c80),
inference(resolve,[status(thm)],[c_1567,c_610]) ).
cnf(c_1536,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1241,c_1568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+14 : 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 : n008.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 01:14:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 740178 was started by sandbox on n008,
% 0.09/0.36 % Sun Sep 27 01:14:54 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 2.16/0.75
% 2.16/0.75 % SInE (scan): 89 to sos (tol 1.5x), 29 to usable (tol 2.0x), 10070 zapped, of 10188 axioms (depth 3).
% 2.16/0.75
% 2.16/0.75 % From the command line: assign(max_seconds, 300).
% 2.16/0.75
% 2.16/0.75 % given #500 (A,wt=10): 627 mcont(f28(c88,eigenname_1_1,c87),c87). [ur(121,a,298,a,b,159,a,c,301,a)].
% 2.16/0.75
% 2.16/0.75 % given #1000 (T,wt=5): 1168 sort_leq(c111,ab). [ur(178,a,327,a,b,597,a)].
% 2.16/0.75
% 2.16/0.75 % SZS status Theorem for theBenchmark
% 2.16/0.75
% 2.16/0.75 % Proof 1 at 0.24 (+ 0.06) seconds.
% 2.16/0.75 % Length of proof is 40.
% 2.16/0.75 % Level of proof is 4.
% 2.16/0.75 % Maximum clause weight is 109.000.
% 2.16/0.75 % Given clauses 1151.
% 2.16/0.75
% 2.16/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------