%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+24 : 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 : n002.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 07:07:52 AM UTC 2026
% Result : Theorem 2.86s 0.90s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 79 ( 24 unt; 0 def)
% Number of atoms : 502 ( 0 equ)
% Maximal formula atoms : 133 ( 6 avg)
% Number of connectives : 640 ( 217 ~; 201 |; 219 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 133 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-2 aty)
% Number of functors : 55 ( 55 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_1788,axiom,
( gener(f__374hren_1_1,ge)
& fact(f__374hren_1_1,real)
& sort(f__374hren_1_1,da)
& gener(c324,sp)
& fact(c324,real)
& sort(c324,da)
& 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(c318,varia_c)
& refer(c318,indet)
& quant(c318,one)
& gener(c318,sp)
& fact(c318,real)
& etype(c318,int0)
& card(c318,int1)
& sort(c318,na)
& varia(c317,varia_c)
& refer(c317,indet)
& quant(c317,one)
& gener(c317,sp)
& fact(c317,real)
& etype(c317,int0)
& card(c317,int1)
& sort(c317,na)
& varia(c316,con)
& refer(c316,det)
& quant(c316,one)
& gener(c316,sp)
& fact(c316,real)
& etype(c316,int0)
& card(c316,int1)
& sort(c316,d)
& varia(autobiographie_1_1,varia_c)
& refer(autobiographie_1_1,refer_c)
& quant(autobiographie_1_1,one)
& gener(autobiographie_1_1,ge)
& fact(autobiographie_1_1,real)
& etype(autobiographie_1_1,int0)
& card(autobiographie_1_1,int1)
& sort(autobiographie_1_1,io)
& sort(autobiographie_1_1,d)
& varia(c307,con)
& refer(c307,det)
& quant(c307,mult)
& gener(c307,sp)
& fact(c307,real)
& etype(c307,int1)
& card(c307,cons(x_constant,cons(int1,nil)))
& sort(c307,io)
& sort(c307,d)
& gener(sub_0,gener_c)
& fact(sub_0,real)
& sort(sub_0,st)
& gener(c19,sp)
& fact(c19,real)
& sort(c19,st)
& varia(hirte_1_1,varia_c)
& refer(hirte_1_1,refer_c)
& quant(hirte_1_1,one)
& gener(hirte_1_1,ge)
& fact(hirte_1_1,real)
& etype(hirte_1_1,int0)
& card(hirte_1_1,int1)
& sort(hirte_1_1,d)
& varia(an_f__374hrer_1_1,varia_c)
& refer(an_f__374hrer_1_1,refer_c)
& quant(an_f__374hrer_1_1,one)
& gener(an_f__374hrer_1_1,ge)
& fact(an_f__374hrer_1_1,real)
& etype(an_f__374hrer_1_1,int0)
& card(an_f__374hrer_1_1,int1)
& sort(an_f__374hrer_1_1,d)
& varia(c323,con)
& refer(c323,det)
& quant(c323,mult)
& gener(c323,sp)
& fact(c323,real)
& etype(c323,int1)
& card(c323,cons(x_constant,cons(int1,nil)))
& sort(c323,l)
& varia(c15,varia_c)
& refer(c15,indet)
& quant(c15,one)
& gener(c15,sp)
& fact(c15,real)
& etype(c15,int0)
& card(c15,int1)
& sort(c15,d)
& subs(c324,f__374hren_1_1)
& agt(c324,c15)
& flp(c323,c307)
& val(c318,mandela_0)
& sub(c318,familiename_1_1)
& val(c317,nelson_0)
& sub(c317,eigenname_1_1)
& sub(c316,pr__344sident_1_1)
& prop(c316,s__374dafrikanisch_1_1)
& attr(c316,c318)
& attr(c316,c317)
& attch(c316,c307)
& pred(c307,autobiographie_1_1)
& subr(c19,sub_0)
& arg2(c19,c15)
& arg1(c19,c15)
& sub(c15,hirte_1_1)
& sub(c15,c15)
& sub(c15,an_f__374hrer_1_1)
& origl(c15,c323) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1788) ).
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_1788,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_1788) ).
fof(synth_qa07_010_mira_news_1788_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_1788]) ).
fof(nnf_65,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_65]) ).
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_128,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_129,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_132,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_133,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_162,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_279,plain,
attr(c316,c317),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1788]) ).
cnf(c_280,plain,
attr(c316,c318),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1788]) ).
cnf(c_281,plain,
prop(c316,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1788]) ).
cnf(c_282,plain,
sub(c316,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1788]) ).
cnf(c_283,plain,
sub(c317,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1788]) ).
cnf(c_284,plain,
val(c317,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1788]) ).
cnf(c_285,plain,
sub(c318,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1788]) ).
cnf(c_286,plain,
val(c318,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1788]) ).
cnf(c_403,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_1788_neg]) ).
cnf(c_886,plain,
( val(sK2(c316,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_133,c_281]) ).
cnf(c_405,plain,
val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_886,c_162]) ).
cnf(c_887,plain,
( sub(sK2(c316,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_132,c_281]) ).
cnf(c_406,plain,
sub(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_887,c_162]) ).
cnf(c_888,plain,
( attr(sK1(c316,s__374dafrikanisch_1_1,A),sK2(c316,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_129,c_281]) ).
cnf(c_409,plain,
attr(sK1(c316,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_888,c_162]) ).
cnf(c_889,plain,
( in(sK0(c316,s__374dafrikanisch_1_1,A),sK1(c316,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_128,c_281]) ).
cnf(c_410,plain,
in(sK0(c316,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c316,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_889,c_162]) ).
cnf(c_671,plain,
arg1(sK6(c316,pr__344sident_1_1),c316),
inference(resolve,[status(thm)],[c_255,c_282]) ).
cnf(c_681,plain,
arg2(sK6(c316,pr__344sident_1_1),pr__344sident_1_1),
inference(resolve,[status(thm)],[c_256,c_282]) ).
cnf(c_689,plain,
subr(sK6(c316,pr__344sident_1_1),sub_0),
inference(resolve,[status(thm)],[c_257,c_282]) ).
cnf(c_890,plain,
( subr(sK3(sK6(c316,pr__344sident_1_1),c316,A),rprs_0)
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_253,c_671]) ).
cnf(c_891,plain,
( subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_890,c_681]) ).
cnf(c_794,plain,
subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0),
inference(resolve,[status(thm)],[c_891,c_689]) ).
cnf(c_892,plain,
( sub(sK4(sK6(c316,pr__344sident_1_1),c316,A),A)
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_252,c_671]) ).
cnf(c_893,plain,
( sub(sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),pr__344sident_1_1)
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_892,c_681]) ).
cnf(c_795,plain,
sub(sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),pr__344sident_1_1),
inference(resolve,[status(thm)],[c_893,c_689]) ).
cnf(c_894,plain,
( obj(sK5(sK6(c316,pr__344sident_1_1),c316,A),c316)
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_251,c_671]) ).
cnf(c_895,plain,
( obj(sK5(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),c316)
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_894,c_681]) ).
cnf(c_796,plain,
obj(sK5(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),c316),
inference(resolve,[status(thm)],[c_895,c_689]) ).
cnf(c_896,plain,
( arg2(sK3(sK6(c316,pr__344sident_1_1),c316,A),sK4(sK6(c316,pr__344sident_1_1),c316,A))
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_248,c_671]) ).
cnf(c_897,plain,
( arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1))
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_896,c_681]) ).
cnf(c_799,plain,
arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1)),
inference(resolve,[status(thm)],[c_897,c_689]) ).
cnf(c_898,plain,
( arg1(sK3(sK6(c316,pr__344sident_1_1),c316,A),c316)
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_247,c_671]) ).
cnf(c_899,plain,
( arg1(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),c316)
| ~ subr(sK6(c316,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_898,c_681]) ).
cnf(c_800,plain,
arg1(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),c316),
inference(resolve,[status(thm)],[c_899,c_689]) ).
cnf(c_900,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(c316,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_403,c_410]) ).
cnf(c_901,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,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,c316)
| ~ attr(sK1(c316,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(c316,C)
| ~ attr(c316,B)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_900,c_800]) ).
cnf(c_902,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(c318,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(A,E)
| ~ sub(B,eigenname_1_1)
| ~ sub(c318,familiename_1_1)
| ~ obj(D,c316)
| ~ attr(sK1(c316,s__374dafrikanisch_1_1,s__374dafrika_0),C)
| ~ attr(c316,B)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_901,c_280]) ).
cnf(c_903,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(A,D)
| ~ sub(c317,eigenname_1_1)
| ~ sub(c318,familiename_1_1)
| ~ obj(C,c316)
| ~ attr(sK1(c316,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_902,c_279]) ).
cnf(c_904,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,C)
| ~ sub(c317,eigenname_1_1)
| ~ sub(c318,familiename_1_1)
| ~ obj(B,c316)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_903,c_409]) ).
cnf(c_905,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ sub(c317,eigenname_1_1)
| ~ sub(c318,familiename_1_1)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_904,c_796]) ).
cnf(c_906,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ sub(c317,eigenname_1_1)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_905,c_285]) ).
cnf(c_907,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_906,c_283]) ).
cnf(c_908,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_907,c_795]) ).
cnf(c_909,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0)
| ~ subr(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),rprs_0)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_908,c_406]) ).
cnf(c_910,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_909,c_794]) ).
cnf(c_911,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c317,nelson_0)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_910,c_286]) ).
cnf(c_912,negated_conjecture,
( ~ val(sK2(c316,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_911,c_284]) ).
cnf(c_913,negated_conjecture,
~ arg2(sK3(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1),sK4(sK6(c316,pr__344sident_1_1),c316,pr__344sident_1_1)),
inference(resolve,[status(thm)],[c_912,c_405]) ).
cnf(c_885,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_799,c_913]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+24 : 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 : n002.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 01:17:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 3043293 was started by sandbox2 on n002,
% 0.09/0.37 % Sun Sep 27 01:17:36 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 2.86/0.90
% 2.86/0.90 % SInE (scan): 80 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10080 zapped, of 10188 axioms (depth 3).
% 2.86/0.90
% 2.86/0.90 % From the command line: assign(max_seconds, 300).
% 2.86/0.90
% 2.86/0.90 % given #500 (A,wt=10): 657 arg1(f11(c19,c15,c15),c15). [ur(247,a,274,a,b,275,a,c,276,a)].
% 2.86/0.90
% 2.86/0.90 % SZS status Theorem for theBenchmark
% 2.86/0.90
% 2.86/0.90 % Proof 1 at 0.18 (+ 0.07) seconds.
% 2.86/0.90 % Length of proof is 40.
% 2.86/0.90 % Level of proof is 4.
% 2.86/0.90 % Maximum clause weight is 47.000.
% 2.86/0.90 % Given clauses 626.
% 2.86/0.90
% 2.86/0.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------