%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+16 : 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:07:51 AM UTC 2026
% Result : Theorem 1.96s 0.78s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 79 ( 24 unt; 0 def)
% Number of atoms : 493 ( 0 equ)
% Maximal formula atoms : 124 ( 6 avg)
% Number of connectives : 631 ( 217 ~; 201 |; 210 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 124 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 47 con; 0-3 aty)
% Number of variables : 190 ( 16 sgn 72 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sub__bezeichnen_1_1_als,axiom,
! [X0,X1,X2] :
( ( subr(X0,sub_0)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) ) ),
file('theBenchmark.p',sub__bezeichnen_1_1_als) ).
fof(sub__sub_0_expansion,axiom,
! [X0,X1] :
( sub(X0,X1)
=> ? [X2] :
( subr(X2,sub_0)
& arg2(X2,X1)
& arg1(X2,X0) ) ),
file('theBenchmark.p',sub__sub_0_expansion) ).
fof(ave07_era5_synth_qa07_010_mira_news_1726,axiom,
( gener(erfreuen_1_2,ge)
& fact(erfreuen_1_2,real)
& sort(erfreuen_1_2,da)
& varia(interesse_1_1,varia_c)
& refer(interesse_1_1,refer_c)
& quant(interesse_1_1,one)
& gener(interesse_1_1,ge)
& fact(interesse_1_1,real)
& etype(interesse_1_1,int0)
& card(interesse_1_1,int1)
& sort(interesse_1_1,as)
& sort(hoch_1_1,mq)
& gener(zeigen_1_4,ge)
& fact(zeigen_1_4,real)
& sort(zeigen_1_4,dn)
& sort(c1,tq)
& varia(c9,con)
& refer(c9,det)
& quant(c9,one)
& gener(c9,sp)
& fact(c9,real)
& etype(c9,int0)
& card(c9,int1)
& sort(c9,as)
& gener(c31,sp)
& fact(c31,real)
& sort(c31,dn)
& 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(c292,varia_c)
& refer(c292,det)
& quant(c292,one)
& gener(c292,sp)
& fact(c292,real)
& etype(c292,int0)
& card(c292,int1)
& sort(c292,o)
& varia(c28,varia_c)
& refer(c28,det)
& quant(c28,one)
& gener(c28,sp)
& fact(c28,real)
& etype(c28,int0)
& card(c28,int1)
& sort(c28,as)
& sort(c28,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)
& 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(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,varia_c)
& refer(c19,indet)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,na)
& varia(c18,con)
& refer(c18,det)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,d)
& chsp2(erfreuen_1_2,c1)
& subs(c9,interesse_1_1)
& reas(c9,c31)
& prop(c9,hoch_1_1)
& ornt(c9,c28)
& attch(c9,c18)
& subs(c31,zeigen_1_4)
& mannr(c31,c1)
& exp(c31,c292)
& circ(c31,c9)
& subs(c28,besuch_1_1)
& agt(c28,c292)
& val(c20,mandela_0)
& sub(c20,familiename_1_1)
& val(c19,nelson_0)
& sub(c19,eigenname_1_1)
& sub(c18,pr__344sident_1_1)
& prop(c18,s__374dafrikanisch_1_1)
& attr(c18,c20)
& attr(c18,c19) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1726) ).
fof(state_adjective__in_state,axiom,
! [X0,X1,X2] :
( ( state_adjective_state_binding(X1,X2)
& prop(X0,X1) )
=> ? [X3,X4,X5] :
( val(X4,X2)
& sub(X4,name_1_1)
& sub(X3,land_1_1)
& loc(X0,X5)
& attr(X3,X4)
& in(X5,X3) ) ),
file('theBenchmark.p',state_adjective__in_state) ).
fof(synth_qa07_010_mira_news_1726,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
file('theBenchmark.p',synth_qa07_010_mira_news_1726) ).
fof(synth_qa07_010_mira_news_1726_neg,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( val(X7,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X7,name_1_1)
& sub(X4,X9)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X8,X0)
& attr(X6,X7)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0)
& in(X5,X6) ),
inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1726]) ).
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_120,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_121,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_124,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_125,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_166,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
fof(nnf_41,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& sub(X5,X2)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X5)
& arg1(X4,X1) )
| ~ subr(X0,sub_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(fof_nnf,[status(thm)],[sub__bezeichnen_1_1_als]) ).
fof(sk_sub__bezeichnen_1_1_als_sk,plain,
! [X0,X1,X2] :
( ( subs(sK5(X0,X1,X2),bezeichnen_1_1)
& subr(sK3(X0,X1,X2),rprs_0)
& sub(sK4(X0,X1,X2),X2)
& obj(sK5(X0,X1,X2),X1)
& mcont(sK5(X0,X1,X2),sK3(X0,X1,X2))
& hsit(X0,sK5(X0,X1,X2))
& arg2(sK3(X0,X1,X2),sK4(X0,X1,X2))
& arg1(sK3(X0,X1,X2),X1) )
| ~ subr(X0,sub_0)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2)),skolemize(X5,sK4(X0,X1,X2))],[nnf_41]) ).
fof(sk_sub__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK5(VAR_0,VAR_1,VAR_2),bezeichnen_1_1)
| ~ subr(VAR_0,sub_0)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( subr(sK3(VAR_0,VAR_1,VAR_2),rprs_0)
| ~ subr(VAR_0,sub_0)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( sub(sK4(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ subr(VAR_0,sub_0)
| ~ 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)
| ~ subr(VAR_0,sub_0)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK5(VAR_0,VAR_1,VAR_2),sK3(VAR_0,VAR_1,VAR_2))
| ~ subr(VAR_0,sub_0)
| ~ 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))
| ~ subr(VAR_0,sub_0)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK3(VAR_0,VAR_1,VAR_2),sK4(VAR_0,VAR_1,VAR_2))
| ~ subr(VAR_0,sub_0)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK3(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subr(VAR_0,sub_0)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_sub__bezeichnen_1_1_als_sk]) ).
cnf(c_247,plain,
( arg1(sK3(A,B,C),B)
| ~ subr(A,sub_0)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__bezeichnen_1_1_als]) ).
cnf(c_248,plain,
( arg2(sK3(A,B,C),sK4(A,B,C))
| ~ subr(A,sub_0)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__bezeichnen_1_1_als]) ).
cnf(c_251,plain,
( obj(sK5(A,B,C),B)
| ~ subr(A,sub_0)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__bezeichnen_1_1_als]) ).
cnf(c_252,plain,
( sub(sK4(A,B,C),C)
| ~ subr(A,sub_0)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__bezeichnen_1_1_als]) ).
cnf(c_253,plain,
( subr(sK3(A,B,C),rprs_0)
| ~ subr(A,sub_0)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__bezeichnen_1_1_als]) ).
fof(nnf_42,plain,
! [X0,X1] :
( ? [X2] :
( subr(X2,sub_0)
& arg2(X2,X1)
& arg1(X2,X0) )
| ~ sub(X0,X1) ),
inference(fof_nnf,[status(thm)],[sub__sub_0_expansion]) ).
fof(sk_sub__sub_0_expansion_sk,plain,
! [X0,X1] :
( ( subr(sK6(X0,X1),sub_0)
& arg2(sK6(X0,X1),X1)
& arg1(sK6(X0,X1),X0) )
| ~ sub(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[nnf_42]) ).
fof(sk_sub__sub_0_expansion,plain,
( ! [VAR_0,VAR_1] :
( subr(sK6(VAR_0,VAR_1),sub_0)
| ~ sub(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( arg2(sK6(VAR_0,VAR_1),VAR_1)
| ~ sub(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( arg1(sK6(VAR_0,VAR_1),VAR_0)
| ~ sub(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_sub__sub_0_expansion_sk]) ).
cnf(c_255,plain,
( arg1(sK6(A,B),A)
| ~ sub(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__sub_0_expansion]) ).
cnf(c_256,plain,
( arg2(sK6(A,B),B)
| ~ sub(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__sub_0_expansion]) ).
cnf(c_257,plain,
( subr(sK6(A,B),sub_0)
| ~ sub(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__sub_0_expansion]) ).
cnf(c_264,plain,
attr(c18,c19),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1726]) ).
cnf(c_265,plain,
attr(c18,c20),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1726]) ).
cnf(c_266,plain,
prop(c18,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1726]) ).
cnf(c_267,plain,
sub(c18,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1726]) ).
cnf(c_268,plain,
sub(c19,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1726]) ).
cnf(c_269,plain,
val(c19,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1726]) ).
cnf(c_270,plain,
sub(c20,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1726]) ).
cnf(c_271,plain,
val(c20,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1726]) ).
cnf(c_388,negated_conjecture,
( ~ val(V7,s__374dafrika_0)
| ~ val(V6,nelson_0)
| ~ val(F,mandela_0)
| ~ subr(C,rprs_0)
| ~ sub(V7,name_1_1)
| ~ sub(E,V9)
| ~ sub(V6,eigenname_1_1)
| ~ sub(F,familiename_1_1)
| ~ obj(V8,D)
| ~ attr(B,V7)
| ~ attr(D,V6)
| ~ attr(D,F)
| ~ arg2(C,E)
| ~ arg1(C,D)
| ~ in(A,B) ),
inference(clausify,[status(thm)],[synth_qa07_010_mira_news_1726_neg]) ).
cnf(c_863,plain,
( val(sK2(c18,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_125,c_266]) ).
cnf(c_390,plain,
val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_863,c_166]) ).
cnf(c_864,plain,
( sub(sK2(c18,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_124,c_266]) ).
cnf(c_391,plain,
sub(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_864,c_166]) ).
cnf(c_865,plain,
( attr(sK1(c18,s__374dafrikanisch_1_1,A),sK2(c18,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_121,c_266]) ).
cnf(c_394,plain,
attr(sK1(c18,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_865,c_166]) ).
cnf(c_866,plain,
( in(sK0(c18,s__374dafrikanisch_1_1,A),sK1(c18,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_120,c_266]) ).
cnf(c_395,plain,
in(sK0(c18,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c18,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_866,c_166]) ).
cnf(c_635,plain,
arg1(sK6(c18,pr__344sident_1_1),c18),
inference(resolve,[status(thm)],[c_255,c_267]) ).
cnf(c_644,plain,
arg2(sK6(c18,pr__344sident_1_1),pr__344sident_1_1),
inference(resolve,[status(thm)],[c_256,c_267]) ).
cnf(c_650,plain,
subr(sK6(c18,pr__344sident_1_1),sub_0),
inference(resolve,[status(thm)],[c_257,c_267]) ).
cnf(c_867,plain,
( subr(sK3(sK6(c18,pr__344sident_1_1),c18,A),rprs_0)
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_253,c_635]) ).
cnf(c_868,plain,
( subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_867,c_644]) ).
cnf(c_766,plain,
subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0),
inference(resolve,[status(thm)],[c_868,c_650]) ).
cnf(c_869,plain,
( sub(sK4(sK6(c18,pr__344sident_1_1),c18,A),A)
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_252,c_635]) ).
cnf(c_870,plain,
( sub(sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),pr__344sident_1_1)
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_869,c_644]) ).
cnf(c_767,plain,
sub(sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),pr__344sident_1_1),
inference(resolve,[status(thm)],[c_870,c_650]) ).
cnf(c_871,plain,
( obj(sK5(sK6(c18,pr__344sident_1_1),c18,A),c18)
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_251,c_635]) ).
cnf(c_872,plain,
( obj(sK5(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),c18)
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_871,c_644]) ).
cnf(c_768,plain,
obj(sK5(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),c18),
inference(resolve,[status(thm)],[c_872,c_650]) ).
cnf(c_873,plain,
( arg2(sK3(sK6(c18,pr__344sident_1_1),c18,A),sK4(sK6(c18,pr__344sident_1_1),c18,A))
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_248,c_635]) ).
cnf(c_874,plain,
( arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1))
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_873,c_644]) ).
cnf(c_771,plain,
arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1)),
inference(resolve,[status(thm)],[c_874,c_650]) ).
cnf(c_875,plain,
( arg1(sK3(sK6(c18,pr__344sident_1_1),c18,A),c18)
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_247,c_635]) ).
cnf(c_876,plain,
( arg1(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),c18)
| ~ subr(sK6(c18,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_875,c_644]) ).
cnf(c_772,plain,
arg1(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),c18),
inference(resolve,[status(thm)],[c_876,c_650]) ).
cnf(c_877,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(c18,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_388,c_395]) ).
cnf(c_878,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(A,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,c18)
| ~ attr(sK1(c18,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(c18,C)
| ~ attr(c18,B)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_877,c_772]) ).
cnf(c_879,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(c20,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(A,E)
| ~ sub(B,eigenname_1_1)
| ~ sub(c20,familiename_1_1)
| ~ obj(D,c18)
| ~ attr(sK1(c18,s__374dafrikanisch_1_1,s__374dafrika_0),C)
| ~ attr(c18,B)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_878,c_265]) ).
cnf(c_880,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ val(c20,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(A,D)
| ~ sub(c19,eigenname_1_1)
| ~ sub(c20,familiename_1_1)
| ~ obj(C,c18)
| ~ attr(sK1(c18,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_879,c_264]) ).
cnf(c_881,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ val(c20,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,C)
| ~ sub(c19,eigenname_1_1)
| ~ sub(c20,familiename_1_1)
| ~ obj(B,c18)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_880,c_394]) ).
cnf(c_882,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ val(c20,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ sub(c19,eigenname_1_1)
| ~ sub(c20,familiename_1_1)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_881,c_768]) ).
cnf(c_883,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ val(c20,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ sub(c19,eigenname_1_1)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_882,c_270]) ).
cnf(c_884,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ val(c20,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_883,c_268]) ).
cnf(c_885,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ val(c20,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_884,c_767]) ).
cnf(c_886,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ val(c20,mandela_0)
| ~ subr(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),rprs_0)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_885,c_391]) ).
cnf(c_887,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ val(c20,mandela_0)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_886,c_766]) ).
cnf(c_888,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c19,nelson_0)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_887,c_271]) ).
cnf(c_889,negated_conjecture,
( ~ val(sK2(c18,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_888,c_269]) ).
cnf(c_890,negated_conjecture,
~ arg2(sK3(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1),sK4(sK6(c18,pr__344sident_1_1),c18,pr__344sident_1_1)),
inference(resolve,[status(thm)],[c_889,c_390]) ).
cnf(c_862,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_771,c_890]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+16 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 01:17:14 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 1163661 was started by sandbox2 on n015,
% 0.10/0.36 % Sun Sep 27 01:17:14 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 1.96/0.78
% 1.96/0.78 % SInE (scan): 81 to sos (tol 1.5x), 33 to usable (tol 2.0x), 10074 zapped, of 10188 axioms (depth 3).
% 1.96/0.78
% 1.96/0.78 % From the command line: assign(max_seconds, 300).
% 1.96/0.78
% 1.96/0.78 % given #500 (A,wt=9): 645 arg2(f11(uspr__344sident_1_1,pr__344sident_1_1),pr__344sident_1_1). [ur(256,a,263,a)].
% 1.96/0.78
% 1.96/0.78 % SZS status Theorem for theBenchmark
% 1.96/0.78
% 1.96/0.78 % Proof 1 at 0.20 (+ 0.07) seconds.
% 1.96/0.78 % Length of proof is 40.
% 1.96/0.78 % Level of proof is 4.
% 1.96/0.78 % Maximum clause weight is 112.000.
% 1.96/0.78 % Given clauses 604.
% 1.96/0.78
% 1.96/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------