%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+42 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:07:55 AM UTC 2026
% Result : Theorem 3.49s 1.03s
% Output : CNFRefutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 502 ( 0 equ)
% Maximal formula atoms : 198 ( 7 avg)
% Number of connectives : 626 ( 190 ~; 175 |; 259 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 198 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-7 aty)
% Number of functors : 56 ( 56 usr; 52 con; 0-3 aty)
% Number of variables : 134 ( 18 sgn 50 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_first,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('theBenchmark.p',member_first) ).
fof(attr_name_hei__337en_1_1,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('theBenchmark.p',attr_name_hei__337en_1_1) ).
fof(hei__337en_1_1__bezeichnen_1_1_als,axiom,
! [X0,X1,X2] :
( ( subs(X0,hei__337en_1_1)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) ),
file('theBenchmark.p',hei__337en_1_1__bezeichnen_1_1_als) ).
fof(ave07_era5_synth_qa07_010_mn3_286_a671,axiom,
( varia(leute_1_1,varia_c)
& refer(leute_1_1,refer_c)
& quant(leute_1_1,one)
& gener(leute_1_1,ge)
& fact(leute_1_1,real)
& etype(leute_1_1,int0)
& card(leute_1_1,int1)
& sort(leute_1_1,d)
& varia(land_2_1,varia_c)
& refer(land_2_1,refer_c)
& quant(land_2_1,one)
& gener(land_2_1,ge)
& fact(land_2_1,real)
& etype(land_2_1,int0)
& card(land_2_1,int1)
& sort(land_2_1,d)
& varia(c459,varia_c)
& refer(c459,refer_c)
& quant(c459,quant_c)
& gener(c459,gener_c)
& fact(c459,real)
& etype(c459,etype_c)
& card(c459,card_c)
& sort(c459,ent)
& varia(gehaltsangabe_1_1,varia_c)
& refer(gehaltsangabe_1_1,refer_c)
& quant(gehaltsangabe_1_1,one)
& gener(gehaltsangabe_1_1,ge)
& fact(gehaltsangabe_1_1,real)
& etype(gehaltsangabe_1_1,int0)
& card(gehaltsangabe_1_1,int1)
& sort(gehaltsangabe_1_1,io)
& sort(gehaltsangabe_1_1,d)
& varia(c332,varia_c)
& refer(c332,refer_c)
& quant(c332,one)
& gener(c332,gener_c)
& fact(c332,real)
& etype(c332,int0)
& card(c332,int1)
& sort(c332,io)
& sort(c332,d)
& varia(landesleute_1_1,varia_c)
& refer(landesleute_1_1,refer_c)
& quant(landesleute_1_1,one)
& gener(landesleute_1_1,ge)
& fact(landesleute_1_1,real)
& etype(landesleute_1_1,int0)
& card(landesleute_1_1,int1)
& sort(landesleute_1_1,d)
& varia(c330,con)
& refer(c330,det)
& quant(c330,all)
& gener(c330,gener_c)
& fact(c330,real)
& etype(c330,int1)
& card(c330,cons(x_constant,cons(int1,nil)))
& sort(c330,d)
& sort(zukunft_in_w__374rde_und_vertrauen_0,fe)
& varia(c324,varia_c)
& refer(c324,refer_c)
& quant(c324,one)
& gener(c324,gener_c)
& fact(c324,real)
& etype(c324,int0)
& card(c324,int1)
& sort(c324,o)
& sort(s__374dafrika_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(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(c314,varia_c)
& refer(c314,indet)
& quant(c314,one)
& gener(c314,sp)
& fact(c314,real)
& etype(c314,int0)
& card(c314,int1)
& sort(c314,na)
& varia(c313,con)
& refer(c313,det)
& quant(c313,one)
& gener(c313,sp)
& fact(c313,real)
& etype(c313,int0)
& card(c313,int1)
& sort(c313,io)
& sort(c313,d)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& quant(pr__344sident_1_1,one)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& sort(pr__344sident_1_1,d)
& varia(c303,con)
& refer(c303,det)
& quant(c303,one)
& gener(c303,sp)
& fact(c303,real)
& etype(c303,int0)
& card(c303,int1)
& sort(c303,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(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(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(c301,varia_c)
& refer(c301,indet)
& quant(c301,one)
& gener(c301,sp)
& fact(c301,real)
& etype(c301,int0)
& card(c301,int1)
& sort(c301,na)
& varia(c296,varia_c)
& refer(c296,indet)
& quant(c296,one)
& gener(c296,sp)
& fact(c296,real)
& etype(c296,int0)
& card(c296,int1)
& sort(c296,na)
& varia(c295,varia_c)
& refer(c295,indet)
& quant(c295,one)
& gener(c295,sp)
& fact(c295,real)
& etype(c295,int0)
& card(c295,int1)
& sort(c295,na)
& varia(c294,con)
& refer(c294,det)
& quant(c294,one)
& gener(c294,sp)
& fact(c294,real)
& etype(c294,int0)
& card(c294,int1)
& sort(c294,d)
& sub(landesleute_1_1,leute_1_1)
& assoc(landesleute_1_1,land_2_1)
& tupl_p7(c459,c294,c294,c303,c324,c330,c332)
& sub(c332,gehaltsangabe_1_1)
& pred(c330,landesleute_1_1)
& name(c324,zukunft_in_w__374rde_und_vertrauen_0)
& val(c314,s__374dafrika_0)
& sub(c314,name_1_1)
& sub(c313,land_1_1)
& attr(c313,c314)
& attch(c313,c303)
& sub(c303,pr__344sident_1_1)
& val(c301,mandela_0)
& sub(c301,familiename_1_1)
& val(c296,mandela_0)
& sub(c296,familiename_1_1)
& val(c295,nelson_0)
& sub(c295,eigenname_1_1)
& sub(c294,mensch_1_1)
& attr(c294,c301)
& attr(c294,c296)
& attr(c294,c295) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mn3_286_a671) ).
fof(synth_qa07_010_mn3_286_a671,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
file('theBenchmark.p',synth_qa07_010_mn3_286_a671) ).
fof(synth_qa07_010_mn3_286_a671_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mn3_286_a671]) ).
cnf(c_152,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(sK0(X0,X1,X2),hei__337en_1_1)
& arg2(sK0(X0,X1,X2),X2)
& arg1(sK0(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[nnf_38]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK0(VAR_1,VAR_2,VAR_0),hei__337en_1_1)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK0(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name_hei__337en_1_1_sk]) ).
cnf(c_213,plain,
( arg1(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_214,plain,
( arg2(sK0(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_215,plain,
( subs(sK0(B,C,A),hei__337en_1_1)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
fof(nnf_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(sK2(X0,X1,X2),bezeichnen_1_1)
& subr(sK1(X0,X1,X2),rprs_0)
& obj(sK2(X0,X1,X2),X1)
& mcont(sK2(X0,X1,X2),sK1(X0,X1,X2))
& hsit(X0,sK2(X0,X1,X2))
& arg2(sK1(X0,X1,X2),X2)
& arg1(sK1(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2))],[nnf_39]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK2(VAR_0,VAR_1,VAR_2),bezeichnen_1_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( subr(sK1(VAR_0,VAR_1,VAR_2),rprs_0)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK2(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK2(VAR_0,VAR_1,VAR_2),sK1(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( hsit(VAR_0,sK2(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK1(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK1(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als_sk]) ).
cnf(c_216,plain,
( arg1(sK1(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_217,plain,
( arg2(sK1(A,B,C),C)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_220,plain,
( obj(sK2(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_221,plain,
( subr(sK1(A,B,C),rprs_0)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_250,plain,
attr(c294,c295),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_252,plain,
attr(c294,c301),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_253,plain,
sub(c294,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_254,plain,
sub(c295,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_255,plain,
val(c295,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_258,plain,
sub(c301,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_259,plain,
val(c301,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_262,plain,
attr(c313,c314),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_264,plain,
sub(c314,name_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_265,plain,
val(c314,s__374dafrika_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mn3_286_a671]) ).
cnf(c_448,negated_conjecture,
( ~ val(V6,s__374dafrika_0)
| ~ val(E,nelson_0)
| ~ val(D,mandela_0)
| ~ subr(A,rprs_0)
| ~ sub(V6,name_1_1)
| ~ sub(C,V8)
| ~ sub(E,eigenname_1_1)
| ~ sub(D,familiename_1_1)
| ~ obj(V7,B)
| ~ attr(F,V6)
| ~ attr(B,E)
| ~ attr(B,D)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_010_mn3_286_a671_neg]) ).
cnf(c_1050,plain,
( arg1(sK0(c295,A,c294),c294)
| ~ sub(c295,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_213,c_250]) ).
cnf(c_1051,plain,
( arg1(sK0(c295,eigenname_1_1,c294),c294)
| ~ sub(c295,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1050,c_152]) ).
cnf(c_616,plain,
arg1(sK0(c295,eigenname_1_1,c294),c294),
inference(resolve,[status(thm)],[c_1051,c_254]) ).
cnf(c_1052,plain,
( arg2(sK0(c295,A,c294),c294)
| ~ sub(c295,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_214,c_250]) ).
cnf(c_1053,plain,
( arg2(sK0(c295,eigenname_1_1,c294),c294)
| ~ sub(c295,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1052,c_152]) ).
cnf(c_617,plain,
arg2(sK0(c295,eigenname_1_1,c294),c294),
inference(resolve,[status(thm)],[c_1053,c_254]) ).
cnf(c_1054,plain,
( subs(sK0(c295,A,c294),hei__337en_1_1)
| ~ sub(c295,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_215,c_250]) ).
cnf(c_1055,plain,
( subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1)
| ~ sub(c295,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1054,c_152]) ).
cnf(c_628,plain,
subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1055,c_254]) ).
cnf(c_1056,plain,
( subr(sK1(sK0(c295,eigenname_1_1,c294),c294,A),rprs_0)
| ~ subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1)
| ~ arg2(sK0(c295,eigenname_1_1,c294),A) ),
inference(resolve,[status(thm)],[c_221,c_616]) ).
cnf(c_1057,plain,
( subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1056,c_617]) ).
cnf(c_858,plain,
subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0),
inference(resolve,[status(thm)],[c_1057,c_628]) ).
cnf(c_1058,plain,
( obj(sK2(sK0(c295,eigenname_1_1,c294),c294,A),c294)
| ~ subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1)
| ~ arg2(sK0(c295,eigenname_1_1,c294),A) ),
inference(resolve,[status(thm)],[c_220,c_616]) ).
cnf(c_1059,plain,
( obj(sK2(sK0(c295,eigenname_1_1,c294),c294,c294),c294)
| ~ subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1058,c_617]) ).
cnf(c_859,plain,
obj(sK2(sK0(c295,eigenname_1_1,c294),c294,c294),c294),
inference(resolve,[status(thm)],[c_1059,c_628]) ).
cnf(c_1060,plain,
( arg2(sK1(sK0(c295,eigenname_1_1,c294),c294,A),A)
| ~ subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1)
| ~ arg2(sK0(c295,eigenname_1_1,c294),A) ),
inference(resolve,[status(thm)],[c_217,c_616]) ).
cnf(c_1061,plain,
( arg2(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294)
| ~ subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1060,c_617]) ).
cnf(c_862,plain,
arg2(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294),
inference(resolve,[status(thm)],[c_1061,c_628]) ).
cnf(c_1062,plain,
( arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,A),c294)
| ~ subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1)
| ~ arg2(sK0(c295,eigenname_1_1,c294),A) ),
inference(resolve,[status(thm)],[c_216,c_616]) ).
cnf(c_1063,plain,
( arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294)
| ~ subs(sK0(c295,eigenname_1_1,c294),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1062,c_617]) ).
cnf(c_863,plain,
arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294),
inference(resolve,[status(thm)],[c_1063,c_628]) ).
cnf(c_1064,negated_conjecture,
( ~ val(E,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ sub(E,name_1_1)
| ~ sub(c294,V6)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(F,A)
| ~ attr(D,E)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),A) ),
inference(resolve,[status(thm)],[c_448,c_862]) ).
cnf(c_1065,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c301,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(c294,E)
| ~ sub(A,eigenname_1_1)
| ~ sub(c301,familiename_1_1)
| ~ obj(D,c294)
| ~ attr(B,C)
| ~ attr(c294,A)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1064,c_252]) ).
cnf(c_1066,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ val(c301,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c294,D)
| ~ sub(c295,eigenname_1_1)
| ~ sub(c301,familiename_1_1)
| ~ obj(C,c294)
| ~ attr(A,B)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1065,c_250]) ).
cnf(c_1067,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ val(c301,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ sub(c314,name_1_1)
| ~ sub(c294,B)
| ~ sub(c295,eigenname_1_1)
| ~ sub(c301,familiename_1_1)
| ~ obj(A,c294)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1066,c_262]) ).
cnf(c_1068,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ val(c301,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ sub(c314,name_1_1)
| ~ sub(c294,A)
| ~ sub(c295,eigenname_1_1)
| ~ sub(c301,familiename_1_1)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1067,c_859]) ).
cnf(c_1069,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ val(c301,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ sub(c314,name_1_1)
| ~ sub(c294,A)
| ~ sub(c295,eigenname_1_1)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1068,c_258]) ).
cnf(c_1070,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ val(c301,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ sub(c314,name_1_1)
| ~ sub(c294,A)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1069,c_254]) ).
cnf(c_1071,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ val(c301,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ sub(c314,name_1_1)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1070,c_253]) ).
cnf(c_1072,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ val(c301,mandela_0)
| ~ subr(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),rprs_0)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1071,c_264]) ).
cnf(c_1073,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ val(c301,mandela_0)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1072,c_858]) ).
cnf(c_1074,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ val(c295,nelson_0)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1073,c_259]) ).
cnf(c_1075,negated_conjecture,
( ~ val(c314,s__374dafrika_0)
| ~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294) ),
inference(resolve,[status(thm)],[c_1074,c_255]) ).
cnf(c_1076,negated_conjecture,
~ arg1(sK1(sK0(c295,eigenname_1_1,c294),c294,c294),c294),
inference(resolve,[status(thm)],[c_1075,c_265]) ).
cnf(c_1049,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_863,c_1076]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR116+42 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 01:15:16 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 3508790 was started by sandbox2 on n005,
% 0.16/0.43 % Sun Sep 27 01:15:16 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 3.49/1.03
% 3.49/1.03 % SInE (scan): 78 to sos (tol 1.5x), 26 to usable (tol 2.0x), 10084 zapped, of 10188 axioms (depth 3).
% 3.49/1.03
% 3.49/1.03 % From the command line: assign(max_seconds, 300).
% 3.49/1.03
% 3.49/1.03 % given #500 (A,wt=5): 650 has_etype_leq(name_1_1,etype_c). [ur(74,a,374,a)].
% 3.49/1.03
% 3.49/1.03 % SZS status Theorem for theBenchmark
% 3.49/1.03
% 3.49/1.03 % Proof 1 at 0.38 (+ 0.07) seconds.
% 3.49/1.03 % Length of proof is 32.
% 3.49/1.03 % Level of proof is 4.
% 3.49/1.03 % Maximum clause weight is 44.000.
% 3.49/1.03 % Given clauses 754.
% 3.49/1.03
% 3.49/1.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------