%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+45 : 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 : n017.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 2.70s 0.86s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 88 ( 27 unt; 0 def)
% Number of atoms : 533 ( 0 equ)
% Maximal formula atoms : 136 ( 6 avg)
% Number of connectives : 681 ( 236 ~; 220 |; 221 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 136 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 53 ( 53 usr; 46 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_342,axiom,
( 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(c170,varia_c)
& refer(c170,refer_c)
& quant(c170,quant_c)
& gener(c170,gener_c)
& fact(c170,real)
& etype(c170,etype_c)
& card(c170,card_c)
& sort(c170,ent)
& 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)
& varia(c139,varia_c)
& refer(c139,refer_c)
& quant(c139,one)
& gener(c139,gener_c)
& fact(c139,real)
& etype(c139,int0)
& card(c139,int1)
& sort(c139,o)
& sort(nelson_0,fe)
& 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(c135,varia_c)
& refer(c135,indet)
& quant(c135,one)
& gener(c135,sp)
& fact(c135,real)
& etype(c135,int0)
& card(c135,int1)
& sort(c135,na)
& varia(c134,varia_c)
& refer(c134,indet)
& quant(c134,one)
& gener(c134,sp)
& fact(c134,real)
& etype(c134,int0)
& card(c134,int1)
& sort(c134,na)
& varia(c133,con)
& refer(c133,det)
& quant(c133,one)
& gener(c133,sp)
& fact(c133,real)
& etype(c133,int0)
& card(c133,int1)
& sort(c133,d)
& 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(winnie_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(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)
& varia(c122,varia_c)
& refer(c122,indet)
& quant(c122,one)
& gener(c122,sp)
& fact(c122,real)
& etype(c122,int0)
& card(c122,int1)
& sort(c122,na)
& varia(c121,varia_c)
& refer(c121,indet)
& quant(c121,one)
& gener(c121,sp)
& fact(c121,real)
& etype(c121,int0)
& card(c121,int1)
& sort(c121,na)
& varia(c120,con)
& refer(c120,det)
& quant(c120,one)
& gener(c120,sp)
& fact(c120,real)
& etype(c120,int0)
& card(c120,int1)
& sort(c120,d)
& sub(pr__344sident_1_1,mensch_1_1)
& sub(frau_1_1,mensch_1_1)
& tupl(c170,c120,c139)
& sub(c139,sich_1_1)
& val(c135,mandela_0)
& sub(c135,familiename_1_1)
& val(c134,nelson_0)
& sub(c134,eigenname_1_1)
& sub(c133,pr__344sident_1_1)
& prop(c133,s__374dafrikanisch_1_1)
& attr(c133,c135)
& attr(c133,c134)
& attch(c133,c120)
& val(c122,mandela_0)
& sub(c122,familiename_1_1)
& val(c121,winnie_0)
& sub(c121,eigenname_1_1)
& sub(c120,frau_1_1)
& attr(c120,c122)
& attr(c120,c121) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mn3_342) ).
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_342,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_342) ).
fof(synth_qa07_010_mn3_342_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_342]) ).
fof(nnf_61,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_61]) ).
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_142,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_144,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
cnf(c_178,plain,
( sub(A,C)
| ~ sub(B,C)
| ~ sub(A,B) ),
inference(clausify,[status(thm)],[sub_sub__sub]) ).
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_211,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_212,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_213,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_214,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_215,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_218,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_219,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_253,plain,
attr(c133,c134),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_254,plain,
attr(c133,c135),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_255,plain,
prop(c133,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_256,plain,
sub(c133,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_257,plain,
sub(c134,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_258,plain,
val(c134,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_259,plain,
sub(c135,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_260,plain,
val(c135,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_264,plain,
sub(pr__344sident_1_1,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_342]) ).
cnf(c_381,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_342_neg]) ).
cnf(c_950,plain,
( val(sK2(c133,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_115,c_255]) ).
cnf(c_387,plain,
val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_950,c_142]) ).
cnf(c_951,plain,
( sub(sK2(c133,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_114,c_255]) ).
cnf(c_388,plain,
sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_951,c_142]) ).
cnf(c_952,plain,
( attr(sK1(c133,s__374dafrikanisch_1_1,A),sK2(c133,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_111,c_255]) ).
cnf(c_391,plain,
attr(sK1(c133,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_952,c_142]) ).
cnf(c_953,plain,
( in(sK0(c133,s__374dafrikanisch_1_1,A),sK1(c133,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_110,c_255]) ).
cnf(c_392,plain,
in(sK0(c133,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c133,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_953,c_142]) ).
cnf(c_954,plain,
( sub(c133,A)
| ~ sub(pr__344sident_1_1,A) ),
inference(resolve,[status(thm)],[c_178,c_256]) ).
cnf(c_443,plain,
sub(c133,mensch_1_1),
inference(resolve,[status(thm)],[c_954,c_264]) ).
cnf(c_955,plain,
( arg1(sK3(c134,A,c133),c133)
| ~ sub(c134,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_211,c_253]) ).
cnf(c_956,plain,
( arg1(sK3(c134,eigenname_1_1,c133),c133)
| ~ sub(c134,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_955,c_144]) ).
cnf(c_588,plain,
arg1(sK3(c134,eigenname_1_1,c133),c133),
inference(resolve,[status(thm)],[c_956,c_257]) ).
cnf(c_957,plain,
( arg2(sK3(c134,A,c133),c133)
| ~ sub(c134,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_212,c_253]) ).
cnf(c_958,plain,
( arg2(sK3(c134,eigenname_1_1,c133),c133)
| ~ sub(c134,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_957,c_144]) ).
cnf(c_590,plain,
arg2(sK3(c134,eigenname_1_1,c133),c133),
inference(resolve,[status(thm)],[c_958,c_257]) ).
cnf(c_959,plain,
( subs(sK3(c134,A,c133),hei__337en_1_1)
| ~ sub(c134,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_213,c_253]) ).
cnf(c_960,plain,
( subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1)
| ~ sub(c134,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_959,c_144]) ).
cnf(c_598,plain,
subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1),
inference(resolve,[status(thm)],[c_960,c_257]) ).
cnf(c_961,plain,
( subr(sK4(sK3(c134,eigenname_1_1,c133),c133,A),rprs_0)
| ~ subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1)
| ~ arg2(sK3(c134,eigenname_1_1,c133),A) ),
inference(resolve,[status(thm)],[c_219,c_588]) ).
cnf(c_962,plain,
( subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_961,c_590]) ).
cnf(c_712,plain,
subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0),
inference(resolve,[status(thm)],[c_962,c_598]) ).
cnf(c_963,plain,
( obj(sK5(sK3(c134,eigenname_1_1,c133),c133,A),c133)
| ~ subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1)
| ~ arg2(sK3(c134,eigenname_1_1,c133),A) ),
inference(resolve,[status(thm)],[c_218,c_588]) ).
cnf(c_964,plain,
( obj(sK5(sK3(c134,eigenname_1_1,c133),c133,c133),c133)
| ~ subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_963,c_590]) ).
cnf(c_713,plain,
obj(sK5(sK3(c134,eigenname_1_1,c133),c133,c133),c133),
inference(resolve,[status(thm)],[c_964,c_598]) ).
cnf(c_965,plain,
( arg2(sK4(sK3(c134,eigenname_1_1,c133),c133,A),A)
| ~ subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1)
| ~ arg2(sK3(c134,eigenname_1_1,c133),A) ),
inference(resolve,[status(thm)],[c_215,c_588]) ).
cnf(c_966,plain,
( arg2(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133)
| ~ subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_965,c_590]) ).
cnf(c_716,plain,
arg2(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133),
inference(resolve,[status(thm)],[c_966,c_598]) ).
cnf(c_967,plain,
( arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,A),c133)
| ~ subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1)
| ~ arg2(sK3(c134,eigenname_1_1,c133),A) ),
inference(resolve,[status(thm)],[c_214,c_588]) ).
cnf(c_968,plain,
( arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133)
| ~ subs(sK3(c134,eigenname_1_1,c133),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_967,c_590]) ).
cnf(c_717,plain,
arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133),
inference(resolve,[status(thm)],[c_968,c_598]) ).
cnf(c_969,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(c133,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_381,c_392]) ).
cnf(c_970,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c133,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c133,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),A) ),
inference(resolve,[status(thm)],[c_969,c_716]) ).
cnf(c_971,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c133,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c135,familiename_1_1)
| ~ obj(C,c133)
| ~ attr(sK1(c133,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c133,A)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_970,c_254]) ).
cnf(c_972,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c133,C)
| ~ sub(c134,eigenname_1_1)
| ~ sub(c135,familiename_1_1)
| ~ obj(B,c133)
| ~ attr(sK1(c133,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_971,c_253]) ).
cnf(c_973,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c133,B)
| ~ sub(c134,eigenname_1_1)
| ~ sub(c135,familiename_1_1)
| ~ obj(A,c133)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_972,c_391]) ).
cnf(c_974,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c133,A)
| ~ sub(c134,eigenname_1_1)
| ~ sub(c135,familiename_1_1)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_973,c_713]) ).
cnf(c_975,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c133,A)
| ~ sub(c134,eigenname_1_1)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_974,c_259]) ).
cnf(c_976,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c133,A)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_975,c_257]) ).
cnf(c_977,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_976,c_443]) ).
cnf(c_978,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),rprs_0)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_977,c_388]) ).
cnf(c_979,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_978,c_712]) ).
cnf(c_980,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_979,c_260]) ).
cnf(c_981,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133) ),
inference(resolve,[status(thm)],[c_980,c_258]) ).
cnf(c_982,negated_conjecture,
~ arg1(sK4(sK3(c134,eigenname_1_1,c133),c133,c133),c133),
inference(resolve,[status(thm)],[c_981,c_387]) ).
cnf(c_949,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_717,c_982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+45 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 01:11:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 2054976 was started by sandbox on n017,
% 0.11/0.38 % Sun Sep 27 01:11:35 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 2.70/0.86
% 2.70/0.86 % SInE (scan): 74 to sos (tol 1.5x), 26 to usable (tol 2.0x), 10088 zapped, of 10188 axioms (depth 3).
% 2.70/0.86
% 2.70/0.86 % From the command line: assign(max_seconds, 300).
% 2.70/0.86
% 2.70/0.86 % given #500 (A,wt=9): 637 arg1(f14(c139,sich_1_1),c139). [ur(229,a,261,a)].
% 2.70/0.86
% 2.70/0.86 % SZS status Theorem for theBenchmark
% 2.70/0.86
% 2.70/0.86 % Proof 1 at 0.17 (+ 0.05) seconds.
% 2.70/0.86 % Length of proof is 44.
% 2.70/0.86 % Level of proof is 4.
% 2.70/0.86 % Maximum clause weight is 109.000.
% 2.70/0.86 % Given clauses 635.
% 2.70/0.86
% 2.70/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------