%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+43 : 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 : n001.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 07:07:56 AM UTC 2026
% Result : Theorem 2.05s 0.80s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 88 ( 27 unt; 0 def)
% Number of atoms : 683 ( 0 equ)
% Maximal formula atoms : 286 ( 7 avg)
% Number of connectives : 831 ( 236 ~; 220 |; 371 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 286 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 82 ( 82 usr; 75 con; 0-3 aty)
% Number of variables : 198 ( 17 sgn 80 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(sub_sub__sub,axiom,
! [X0,X1,X2] :
( ( sub(X1,X2)
& sub(X0,X1) )
=> sub(X0,X2) ),
file('theBenchmark.p',sub_sub__sub) ).
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_mn3_287,axiom,
( varia(west__1_1,varia_c)
& refer(west__1_1,refer_c)
& quant(west__1_1,one)
& gener(west__1_1,ge)
& fact(west__1_1,real)
& etype(west__1_1,int0)
& card(west__1_1,int1)
& sort(west__1_1,io)
& sort(west__1_1,d)
& varia(sued_1_1,varia_c)
& refer(sued_1_1,refer_c)
& quant(sued_1_1,one)
& gener(sued_1_1,ge)
& fact(sued_1_1,real)
& etype(sued_1_1,int0)
& card(sued_1_1,int1)
& sort(sued_1_1,oa)
& varia(besuch_1_1,varia_c)
& refer(besuch_1_1,refer_c)
& quant(besuch_1_1,one)
& gener(besuch_1_1,ge)
& fact(besuch_1_1,real)
& etype(besuch_1_1,int0)
& card(besuch_1_1,int1)
& sort(besuch_1_1,as)
& sort(besuch_1_1,ad)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,quant_c)
& gener(mensch_1_1,gener_c)
& fact(mensch_1_1,real)
& etype(mensch_1_1,etype_c)
& card(mensch_1_1,card_c)
& sort(mensch_1_1,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)
& sort(namibia_0,fe)
& sort(afrika_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(gebietsinstitution_1_1,varia_c)
& refer(gebietsinstitution_1_1,refer_c)
& quant(gebietsinstitution_1_1,one)
& gener(gebietsinstitution_1_1,ge)
& fact(gebietsinstitution_1_1,real)
& etype(gebietsinstitution_1_1,int0)
& card(gebietsinstitution_1_1,int1)
& sort(gebietsinstitution_1_1,io)
& sort(gebietsinstitution_1_1,d)
& varia(c56,varia_c)
& refer(c56,indet)
& quant(c56,one)
& gener(c56,sp)
& fact(c56,real)
& etype(c56,int0)
& card(c56,int1)
& sort(c56,na)
& gener(empfangen_1_1,ge)
& fact(empfangen_1_1,real)
& sort(empfangen_1_1,dn)
& varia(c55,con)
& refer(c55,det)
& quant(c55,one)
& gener(c55,sp)
& fact(c55,real)
& etype(c55,int0)
& card(c55,int1)
& sort(c55,io)
& sort(c55,d)
& gener(c53,sp)
& fact(c53,real)
& sort(c53,dn)
& 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(c6,varia_c)
& refer(c6,indet)
& quant(c6,one)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& sort(c6,na)
& varia(suedwest_1_1,varia_c)
& refer(suedwest_1_1,refer_c)
& quant(suedwest_1_1,one)
& gener(suedwest_1_1,ge)
& fact(suedwest_1_1,real)
& etype(suedwest_1_1,int0)
& card(suedwest_1_1,int1)
& sort(suedwest_1_1,io)
& sort(suedwest_1_1,d)
& sort(bundesdeutsch_1_1,tq)
& varia(staatgast_1_1,varia_c)
& refer(staatgast_1_1,refer_c)
& quant(staatgast_1_1,one)
& gener(staatgast_1_1,ge)
& fact(staatgast_1_1,real)
& etype(staatgast_1_1,int0)
& card(staatgast_1_1,int1)
& sort(staatgast_1_1,as)
& sort(staatgast_1_1,ad)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c9,con)
& refer(c9,det)
& quant(c9,one)
& gener(c9,sp)
& fact(c9,real)
& etype(c9,int0)
& card(c9,int1)
& sort(c9,ta)
& gener(haben_1_1,ge)
& fact(haben_1_1,real)
& sort(haben_1_1,st)
& varia(c42,varia_c)
& refer(c42,refer_c)
& quant(c42,one)
& gener(c42,gener_c)
& fact(c42,real)
& etype(c42,int0)
& card(c42,int1)
& sort(c42,io)
& sort(c42,d)
& gener(c3,sp)
& fact(c3,real)
& sort(c3,st)
& varia(c32,varia_c)
& refer(c32,refer_c)
& quant(c32,one)
& gener(c32,ge)
& fact(c32,real)
& etype(c32,int0)
& card(c32,int1)
& sort(c32,as)
& sort(c32,ad)
& varia(c41,con)
& refer(c41,det)
& quant(c41,one)
& gener(c41,sp)
& fact(c41,real)
& etype(c41,int0)
& card(c41,int1)
& sort(c41,d)
& varia(c5,varia_c)
& refer(c5,det)
& quant(c5,one)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sort(c5,o)
& 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)
& varia(c29,varia_c)
& refer(c29,det)
& quant(c29,one)
& gener(c29,sp)
& fact(c29,real)
& etype(c29,int0)
& card(c29,int1)
& sort(c29,as)
& sort(c29,ad)
& sort(s__374dafrikanisch_1_1,nq)
& varia(c21,varia_c)
& refer(c21,indet)
& quant(c21,one)
& gener(c21,sp)
& fact(c21,real)
& etype(c21,int0)
& card(c21,int1)
& sort(c21,na)
& varia(c20,varia_c)
& refer(c20,indet)
& quant(c20,one)
& gener(c20,sp)
& fact(c20,real)
& etype(c20,int0)
& card(c20,int1)
& sort(c20,na)
& varia(c19,con)
& refer(c19,det)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,d)
& varia(kolonie_1_1,varia_c)
& refer(kolonie_1_1,refer_c)
& quant(kolonie_1_1,one)
& gener(kolonie_1_1,ge)
& fact(kolonie_1_1,real)
& etype(kolonie_1_1,int0)
& card(kolonie_1_1,int1)
& sort(kolonie_1_1,d)
& sort(ehemalig_1_1,tq)
& 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(suedwest_1_1,west__1_1)
& assoc(suedwest_1_1,sued_1_1)
& subs(staatgast_1_1,besuch_1_1)
& assoc(staatgast_1_1,land_1_1)
& sub(pr__344sident_1_1,mensch_1_1)
& sub(c9,dienstag__1_1)
& val(c6,namibia_0)
& sub(c6,name_1_1)
& val(c56,afrika_0)
& sub(c56,name_1_1)
& sub(c55,gebietsinstitution_1_1)
& attr(c55,c56)
& subs(c53,empfangen_1_1)
& semrel(c53,c3)
& obj(c53,c55)
& sub(c5,land_1_1)
& attr(c5,c6)
& sub(c42,suedwest_1_1)
& sub(c41,c1)
& prop(c41,bundesdeutsch_1_1)
& pmod(c32,erst_1_1,staatgast_1_1)
& temp(c3,c9)
& subs(c3,haben_1_1)
& scar(c3,c5)
& obj(c3,c19)
& assoc(c3,c42)
& subs(c29,c32)
& obj(c29,c41)
& agt(c29,c5)
& val(c21,mandela_0)
& sub(c21,familiename_1_1)
& val(c20,nelson_0)
& sub(c20,eigenname_1_1)
& sub(c19,pr__344sident_1_1)
& purp(c19,c29)
& prop(c19,s__374dafrikanisch_1_1)
& attr(c19,c21)
& attr(c19,c20)
& pmod(c1,ehemalig_1_1,kolonie_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mn3_287) ).
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_mn3_287,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_mn3_287) ).
fof(synth_qa07_010_mn3_287_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_mn3_287]) ).
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_110,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_111,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_114,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_115,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_161,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_166,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_212,plain,
( sub(A,C)
| ~ sub(B,C)
| ~ sub(A,B) ),
inference(clausify,[status(thm)],[sub_sub__sub]) ).
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_248,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_249,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_250,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_251,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_252,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_255,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_256,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_283,plain,
attr(c19,c20),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_284,plain,
attr(c19,c21),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_285,plain,
prop(c19,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_287,plain,
sub(c19,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_288,plain,
sub(c20,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_289,plain,
val(c20,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_290,plain,
sub(c21,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_291,plain,
val(c21,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_316,plain,
sub(pr__344sident_1_1,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_287]) ).
cnf(c_568,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_mn3_287_neg]) ).
cnf(c_1546,plain,
( val(sK2(c19,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_115,c_285]) ).
cnf(c_570,plain,
val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_1546,c_161]) ).
cnf(c_1547,plain,
( sub(sK2(c19,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_114,c_285]) ).
cnf(c_571,plain,
sub(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_1547,c_161]) ).
cnf(c_1548,plain,
( attr(sK1(c19,s__374dafrikanisch_1_1,A),sK2(c19,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_111,c_285]) ).
cnf(c_574,plain,
attr(sK1(c19,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1548,c_161]) ).
cnf(c_1549,plain,
( in(sK0(c19,s__374dafrikanisch_1_1,A),sK1(c19,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_110,c_285]) ).
cnf(c_575,plain,
in(sK0(c19,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c19,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1549,c_161]) ).
cnf(c_1550,plain,
( sub(c19,A)
| ~ sub(pr__344sident_1_1,A) ),
inference(resolve,[status(thm)],[c_212,c_287]) ).
cnf(c_613,plain,
sub(c19,mensch_1_1),
inference(resolve,[status(thm)],[c_1550,c_316]) ).
cnf(c_1551,plain,
( arg1(sK3(c20,A,c19),c19)
| ~ sub(c20,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_248,c_283]) ).
cnf(c_1552,plain,
( arg1(sK3(c20,eigenname_1_1,c19),c19)
| ~ sub(c20,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1551,c_166]) ).
cnf(c_763,plain,
arg1(sK3(c20,eigenname_1_1,c19),c19),
inference(resolve,[status(thm)],[c_1552,c_288]) ).
cnf(c_1553,plain,
( arg2(sK3(c20,A,c19),c19)
| ~ sub(c20,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_249,c_283]) ).
cnf(c_1554,plain,
( arg2(sK3(c20,eigenname_1_1,c19),c19)
| ~ sub(c20,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1553,c_166]) ).
cnf(c_764,plain,
arg2(sK3(c20,eigenname_1_1,c19),c19),
inference(resolve,[status(thm)],[c_1554,c_288]) ).
cnf(c_1555,plain,
( subs(sK3(c20,A,c19),hei__337en_1_1)
| ~ sub(c20,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_250,c_283]) ).
cnf(c_1556,plain,
( subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1)
| ~ sub(c20,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1555,c_166]) ).
cnf(c_774,plain,
subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1556,c_288]) ).
cnf(c_1557,plain,
( subr(sK4(sK3(c20,eigenname_1_1,c19),c19,A),rprs_0)
| ~ subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1)
| ~ arg2(sK3(c20,eigenname_1_1,c19),A) ),
inference(resolve,[status(thm)],[c_256,c_763]) ).
cnf(c_1558,plain,
( subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1557,c_764]) ).
cnf(c_1191,plain,
subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0),
inference(resolve,[status(thm)],[c_1558,c_774]) ).
cnf(c_1559,plain,
( obj(sK5(sK3(c20,eigenname_1_1,c19),c19,A),c19)
| ~ subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1)
| ~ arg2(sK3(c20,eigenname_1_1,c19),A) ),
inference(resolve,[status(thm)],[c_255,c_763]) ).
cnf(c_1560,plain,
( obj(sK5(sK3(c20,eigenname_1_1,c19),c19,c19),c19)
| ~ subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1559,c_764]) ).
cnf(c_1192,plain,
obj(sK5(sK3(c20,eigenname_1_1,c19),c19,c19),c19),
inference(resolve,[status(thm)],[c_1560,c_774]) ).
cnf(c_1561,plain,
( arg2(sK4(sK3(c20,eigenname_1_1,c19),c19,A),A)
| ~ subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1)
| ~ arg2(sK3(c20,eigenname_1_1,c19),A) ),
inference(resolve,[status(thm)],[c_252,c_763]) ).
cnf(c_1562,plain,
( arg2(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19)
| ~ subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1561,c_764]) ).
cnf(c_1195,plain,
arg2(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19),
inference(resolve,[status(thm)],[c_1562,c_774]) ).
cnf(c_1563,plain,
( arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,A),c19)
| ~ subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1)
| ~ arg2(sK3(c20,eigenname_1_1,c19),A) ),
inference(resolve,[status(thm)],[c_251,c_763]) ).
cnf(c_1564,plain,
( arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19)
| ~ subs(sK3(c20,eigenname_1_1,c19),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1563,c_764]) ).
cnf(c_1196,plain,
arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19),
inference(resolve,[status(thm)],[c_1564,c_774]) ).
cnf(c_1565,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(c19,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_568,c_575]) ).
cnf(c_1566,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c19,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c19,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),A) ),
inference(resolve,[status(thm)],[c_1565,c_1195]) ).
cnf(c_1567,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c21,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c19,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c21,familiename_1_1)
| ~ obj(C,c19)
| ~ attr(sK1(c19,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c19,A)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1566,c_284]) ).
cnf(c_1568,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ val(c21,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c19,C)
| ~ sub(c20,eigenname_1_1)
| ~ sub(c21,familiename_1_1)
| ~ obj(B,c19)
| ~ attr(sK1(c19,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1567,c_283]) ).
cnf(c_1569,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ val(c21,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ sub(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c19,B)
| ~ sub(c20,eigenname_1_1)
| ~ sub(c21,familiename_1_1)
| ~ obj(A,c19)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1568,c_574]) ).
cnf(c_1570,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ val(c21,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ sub(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c19,A)
| ~ sub(c20,eigenname_1_1)
| ~ sub(c21,familiename_1_1)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1569,c_1192]) ).
cnf(c_1571,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ val(c21,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ sub(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c19,A)
| ~ sub(c20,eigenname_1_1)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1570,c_290]) ).
cnf(c_1572,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ val(c21,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ sub(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c19,A)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1571,c_288]) ).
cnf(c_1573,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ val(c21,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ sub(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1572,c_613]) ).
cnf(c_1574,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ val(c21,mandela_0)
| ~ subr(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),rprs_0)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1573,c_571]) ).
cnf(c_1575,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ val(c21,mandela_0)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1574,c_1191]) ).
cnf(c_1576,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c20,nelson_0)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1575,c_291]) ).
cnf(c_1577,negated_conjecture,
( ~ val(sK2(c19,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19) ),
inference(resolve,[status(thm)],[c_1576,c_289]) ).
cnf(c_1578,negated_conjecture,
~ arg1(sK4(sK3(c20,eigenname_1_1,c19),c19,c19),c19),
inference(resolve,[status(thm)],[c_1577,c_570]) ).
cnf(c_1545,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1196,c_1578]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+43 : 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 : n001.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 01:21:29 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 3070493 was started by sandbox2 on n001,
% 0.09/0.36 % Sun Sep 27 01:21:29 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.05/0.80
% 2.05/0.80 % SInE (scan): 95 to sos (tol 1.5x), 36 to usable (tol 2.0x), 10057 zapped, of 10188 axioms (depth 3).
% 2.05/0.80
% 2.05/0.80 % From the command line: assign(max_seconds, 300).
% 2.05/0.80
% 2.05/0.80 % given #500 (A,wt=5): 665 has_fact_leq(c20,real). [ur(175,a,349,a)].
% 2.05/0.80
% 2.05/0.80 % given #1000 (A,wt=9): 1157 arg1(f13(c19,mensch_1_1),c19). [ur(266,a,613,a)].
% 2.05/0.80
% 2.05/0.80 % SZS status Theorem for theBenchmark
% 2.05/0.80
% 2.05/0.80 % Proof 1 at 0.27 (+ 0.07) seconds.
% 2.05/0.80 % Length of proof is 44.
% 2.05/0.80 % Level of proof is 4.
% 2.05/0.80 % Maximum clause weight is 109.000.
% 2.05/0.80 % Given clauses 1132.
% 2.05/0.80
% 2.05/0.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------