%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+37 : 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 : n016.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 07:07:54 AM UTC 2026
% Result : Theorem 1.71s 0.68s
% Output : CNFRefutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 541 ( 0 equ)
% Maximal formula atoms : 154 ( 6 avg)
% Number of connectives : 691 ( 233 ~; 217 |; 238 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 154 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 63 ( 63 usr; 56 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_wp_720,axiom,
( varia(h__366hepunkt_1_1,varia_c)
& refer(h__366hepunkt_1_1,refer_c)
& quant(h__366hepunkt_1_1,one)
& gener(h__366hepunkt_1_1,ge)
& fact(h__366hepunkt_1_1,real)
& etype(h__366hepunkt_1_1,int0)
& card(h__366hepunkt_1_1,int1)
& sort(h__366hepunkt_1_1,io)
& card(ein_4_1,int1)
& sort(ein_4_1,nu)
& gener(equ_0,gener_c)
& fact(equ_0,real)
& sort(equ_0,st)
& gener(c7,sp)
& fact(c7,real)
& sort(c7,st)
& gener(einladen_2_1,ge)
& fact(einladen_2_1,real)
& sort(einladen_2_1,da)
& gener(c630,sp)
& fact(c630,real)
& sort(c630,da)
& varia(ansprache_1_1,varia_c)
& refer(ansprache_1_1,refer_c)
& quant(ansprache_1_1,one)
& gener(ansprache_1_1,ge)
& fact(ansprache_1_1,real)
& etype(ansprache_1_1,int0)
& card(ansprache_1_1,int1)
& sort(ansprache_1_1,io)
& sort(ansprache_1_1,ad)
& varia(c627,varia_c)
& refer(c627,indet)
& quant(c627,one)
& gener(c627,sp)
& fact(c627,real)
& etype(c627,int0)
& card(c627,int1)
& sort(c627,io)
& sort(c627,ad)
& 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(s__374dafrikanisch_1_1,nq)
& varia(c600,varia_c)
& refer(c600,indet)
& quant(c600,one)
& gener(c600,sp)
& fact(c600,real)
& etype(c600,int0)
& card(c600,int1)
& sort(c600,na)
& varia(c599,varia_c)
& refer(c599,indet)
& quant(c599,one)
& gener(c599,sp)
& fact(c599,real)
& etype(c599,int0)
& card(c599,int1)
& sort(c599,na)
& varia(c598,con)
& refer(c598,det)
& quant(c598,one)
& gener(c598,sp)
& fact(c598,real)
& etype(c598,int0)
& card(c598,int1)
& sort(c598,d)
& varia(auftritt_1_1,varia_c)
& refer(auftritt_1_1,refer_c)
& quant(auftritt_1_1,one)
& gener(auftritt_1_1,ge)
& fact(auftritt_1_1,real)
& etype(auftritt_1_1,int0)
& card(auftritt_1_1,int1)
& sort(auftritt_1_1,ad)
& varia(einh__366hepunkt_1_1,varia_c)
& refer(einh__366hepunkt_1_1,refer_c)
& quant(einh__366hepunkt_1_1,one)
& gener(einh__366hepunkt_1_1,ge)
& fact(einh__366hepunkt_1_1,real)
& etype(einh__366hepunkt_1_1,int0)
& card(einh__366hepunkt_1_1,int1)
& sort(einh__366hepunkt_1_1,io)
& varia(c588,con)
& refer(c588,det)
& quant(c588,one)
& gener(c588,sp)
& fact(c588,real)
& etype(c588,int0)
& card(c588,int1)
& sort(c588,ad)
& varia(c3,varia_c)
& refer(c3,refer_c)
& quant(c3,one)
& gener(c3,gener_c)
& fact(c3,real)
& etype(c3,int0)
& card(c3,int1)
& sort(c3,io)
& 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(fr__374h_1_1,nq)
& varia(c1,varia_c)
& refer(c1,refer_c)
& quant(c1,quant_c)
& gener(c1,gener_c)
& fact(c1,fact_c)
& etype(c1,etype_c)
& card(c1,card_c)
& sort(c1,ent)
& sub(einh__366hepunkt_1_1,h__366hepunkt_1_1)
& assoc(einh__366hepunkt_1_1,ein_4_1)
& subr(c7,equ_0)
& arg2(c7,c588)
& arg1(c7,c3)
& subs(c630,einladen_2_1)
& purp(c630,c627)
& benf(c630,c598)
& sub(c627,ansprache_1_1)
& val(c600,mandela_0)
& sub(c600,familiename_1_1)
& val(c599,nelson_0)
& sub(c599,eigenname_1_1)
& sub(c598,c1)
& prop(c598,s__374dafrikanisch_1_1)
& attr(c598,c600)
& attr(c598,c599)
& attch(c598,c588)
& subs(c588,auftritt_1_1)
& sub(c3,einh__366hepunkt_1_1)
& equ(c3,c588)
& pmod(c1,fr__374h_1_1,pr__344sident_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_720) ).
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_wp_720,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_wp_720) ).
fof(synth_qa07_010_mira_wp_720_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_wp_720]) ).
fof(nnf_59,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_59]) ).
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_103,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_104,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_107,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_108,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_144,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_148,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
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(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_38]) ).
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_219,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_220,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_221,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_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(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_39]) ).
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_222,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_223,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_226,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_227,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_259,plain,
attr(c598,c599),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_720]) ).
cnf(c_260,plain,
attr(c598,c600),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_720]) ).
cnf(c_261,plain,
prop(c598,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_720]) ).
cnf(c_262,plain,
sub(c598,c1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_720]) ).
cnf(c_263,plain,
sub(c599,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_720]) ).
cnf(c_264,plain,
val(c599,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_720]) ).
cnf(c_265,plain,
sub(c600,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_720]) ).
cnf(c_266,plain,
val(c600,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_720]) ).
cnf(c_408,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_wp_720_neg]) ).
cnf(c_957,plain,
( val(sK2(c598,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_108,c_261]) ).
cnf(c_410,plain,
val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_957,c_144]) ).
cnf(c_958,plain,
( sub(sK2(c598,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_107,c_261]) ).
cnf(c_411,plain,
sub(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_958,c_144]) ).
cnf(c_959,plain,
( attr(sK1(c598,s__374dafrikanisch_1_1,A),sK2(c598,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_104,c_261]) ).
cnf(c_414,plain,
attr(sK1(c598,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_959,c_144]) ).
cnf(c_960,plain,
( in(sK0(c598,s__374dafrikanisch_1_1,A),sK1(c598,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_103,c_261]) ).
cnf(c_415,plain,
in(sK0(c598,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c598,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_960,c_144]) ).
cnf(c_961,plain,
( arg1(sK3(c599,A,c598),c598)
| ~ sub(c599,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_219,c_259]) ).
cnf(c_962,plain,
( arg1(sK3(c599,eigenname_1_1,c598),c598)
| ~ sub(c599,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_961,c_148]) ).
cnf(c_611,plain,
arg1(sK3(c599,eigenname_1_1,c598),c598),
inference(resolve,[status(thm)],[c_962,c_263]) ).
cnf(c_963,plain,
( arg2(sK3(c599,A,c598),c598)
| ~ sub(c599,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_220,c_259]) ).
cnf(c_964,plain,
( arg2(sK3(c599,eigenname_1_1,c598),c598)
| ~ sub(c599,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_963,c_148]) ).
cnf(c_612,plain,
arg2(sK3(c599,eigenname_1_1,c598),c598),
inference(resolve,[status(thm)],[c_964,c_263]) ).
cnf(c_965,plain,
( subs(sK3(c599,A,c598),hei__337en_1_1)
| ~ sub(c599,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_221,c_259]) ).
cnf(c_966,plain,
( subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1)
| ~ sub(c599,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_965,c_148]) ).
cnf(c_622,plain,
subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1),
inference(resolve,[status(thm)],[c_966,c_263]) ).
cnf(c_967,plain,
( subr(sK4(sK3(c599,eigenname_1_1,c598),c598,A),rprs_0)
| ~ subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1)
| ~ arg2(sK3(c599,eigenname_1_1,c598),A) ),
inference(resolve,[status(thm)],[c_227,c_611]) ).
cnf(c_968,plain,
( subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_967,c_612]) ).
cnf(c_757,plain,
subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0),
inference(resolve,[status(thm)],[c_968,c_622]) ).
cnf(c_969,plain,
( obj(sK5(sK3(c599,eigenname_1_1,c598),c598,A),c598)
| ~ subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1)
| ~ arg2(sK3(c599,eigenname_1_1,c598),A) ),
inference(resolve,[status(thm)],[c_226,c_611]) ).
cnf(c_970,plain,
( obj(sK5(sK3(c599,eigenname_1_1,c598),c598,c598),c598)
| ~ subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_969,c_612]) ).
cnf(c_758,plain,
obj(sK5(sK3(c599,eigenname_1_1,c598),c598,c598),c598),
inference(resolve,[status(thm)],[c_970,c_622]) ).
cnf(c_971,plain,
( arg2(sK4(sK3(c599,eigenname_1_1,c598),c598,A),A)
| ~ subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1)
| ~ arg2(sK3(c599,eigenname_1_1,c598),A) ),
inference(resolve,[status(thm)],[c_223,c_611]) ).
cnf(c_972,plain,
( arg2(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598)
| ~ subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_971,c_612]) ).
cnf(c_761,plain,
arg2(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598),
inference(resolve,[status(thm)],[c_972,c_622]) ).
cnf(c_973,plain,
( arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,A),c598)
| ~ subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1)
| ~ arg2(sK3(c599,eigenname_1_1,c598),A) ),
inference(resolve,[status(thm)],[c_222,c_611]) ).
cnf(c_974,plain,
( arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598)
| ~ subs(sK3(c599,eigenname_1_1,c598),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_973,c_612]) ).
cnf(c_762,plain,
arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598),
inference(resolve,[status(thm)],[c_974,c_622]) ).
cnf(c_975,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(c598,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_408,c_415]) ).
cnf(c_976,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c598,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c598,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),A) ),
inference(resolve,[status(thm)],[c_975,c_761]) ).
cnf(c_977,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c600,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c598,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c600,familiename_1_1)
| ~ obj(C,c598)
| ~ attr(sK1(c598,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c598,A)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_976,c_260]) ).
cnf(c_978,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ val(c600,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c598,C)
| ~ sub(c599,eigenname_1_1)
| ~ sub(c600,familiename_1_1)
| ~ obj(B,c598)
| ~ attr(sK1(c598,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_977,c_259]) ).
cnf(c_979,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ val(c600,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ sub(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c598,B)
| ~ sub(c599,eigenname_1_1)
| ~ sub(c600,familiename_1_1)
| ~ obj(A,c598)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_978,c_414]) ).
cnf(c_980,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ val(c600,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ sub(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c598,A)
| ~ sub(c599,eigenname_1_1)
| ~ sub(c600,familiename_1_1)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_979,c_758]) ).
cnf(c_981,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ val(c600,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ sub(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c598,A)
| ~ sub(c599,eigenname_1_1)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_980,c_265]) ).
cnf(c_982,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ val(c600,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ sub(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c598,A)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_981,c_263]) ).
cnf(c_983,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ val(c600,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ sub(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_982,c_262]) ).
cnf(c_984,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ val(c600,mandela_0)
| ~ subr(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),rprs_0)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_983,c_411]) ).
cnf(c_985,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ val(c600,mandela_0)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_984,c_757]) ).
cnf(c_986,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c599,nelson_0)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_985,c_266]) ).
cnf(c_987,negated_conjecture,
( ~ val(sK2(c598,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598) ),
inference(resolve,[status(thm)],[c_986,c_264]) ).
cnf(c_988,negated_conjecture,
~ arg1(sK4(sK3(c599,eigenname_1_1,c598),c598,c598),c598),
inference(resolve,[status(thm)],[c_987,c_410]) ).
cnf(c_956,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_762,c_988]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+37 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 01:20:16 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 2123029 was started by sandbox2 on n016,
% 0.09/0.37 % Sun Sep 27 01:20:16 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.71/0.68
% 1.71/0.68 % SInE (scan): 81 to sos (tol 1.5x), 31 to usable (tol 2.0x), 10076 zapped, of 10188 axioms (depth 3).
% 1.71/0.68
% 1.71/0.68 % From the command line: assign(max_seconds, 300).
% 1.71/0.68
% 1.71/0.68 % given #500 (A,wt=5): 646 sort_leq(ein_4_1,nu). [ur(167,a,398,a,b,168,a)].
% 1.71/0.68
% 1.71/0.68 % SZS status Theorem for theBenchmark
% 1.71/0.68
% 1.71/0.68 % Proof 1 at 0.16 (+ 0.03) seconds.
% 1.71/0.68 % Length of proof is 40.
% 1.71/0.68 % Level of proof is 4.
% 1.71/0.68 % Maximum clause weight is 109.000.
% 1.71/0.68 % Given clauses 698.
% 1.71/0.68
% 1.71/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------