%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+21 : 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 : n009.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 1.24s 0.68s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 79 ( 24 unt; 0 def)
% Number of atoms : 459 ( 0 equ)
% Maximal formula atoms : 90 ( 5 avg)
% Number of connectives : 597 ( 217 ~; 201 |; 176 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 90 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 48 ( 48 usr; 40 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_1782,axiom,
( sort(ein_f__374hrer_ist_ein_hirte_0,fe)
& 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(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)
& 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(c9,varia_c)
& refer(c9,refer_c)
& quant(c9,one)
& gener(c9,gener_c)
& fact(c9,real)
& etype(c9,int0)
& card(c9,int1)
& sort(c9,o)
& varia(c124,con)
& refer(c124,det)
& quant(c124,mult)
& gener(c124,sp)
& fact(c124,real)
& etype(c124,int1)
& card(c124,cons(x_constant,cons(int1,nil)))
& sort(c124,io)
& sort(c124,d)
& name(c9,ein_f__374hrer_ist_ein_hirte_0)
& 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,c124)
& pred(c124,autobiographie_1_1)
& pars(c124,c9) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1782) ).
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_1782,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_1782) ).
fof(synth_qa07_010_mira_news_1782_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_1782]) ).
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]) ).
fof(nnf_38,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_38]) ).
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_211,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_212,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_215,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_216,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_217,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_39,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_39]) ).
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_219,plain,
( arg1(sK6(A,B),A)
| ~ sub(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__sub_0_expansion]) ).
cnf(c_220,plain,
( arg2(sK6(A,B),B)
| ~ sub(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__sub_0_expansion]) ).
cnf(c_221,plain,
( subr(sK6(A,B),sub_0)
| ~ sub(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sub__sub_0_expansion]) ).
cnf(c_239,plain,
attr(c133,c134),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1782]) ).
cnf(c_240,plain,
attr(c133,c135),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1782]) ).
cnf(c_241,plain,
prop(c133,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1782]) ).
cnf(c_242,plain,
sub(c133,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1782]) ).
cnf(c_243,plain,
sub(c134,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1782]) ).
cnf(c_244,plain,
val(c134,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1782]) ).
cnf(c_245,plain,
sub(c135,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1782]) ).
cnf(c_246,plain,
val(c135,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1782]) ).
cnf(c_326,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_1782_neg]) ).
cnf(c_678,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_241]) ).
cnf(c_328,plain,
val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_678,c_142]) ).
cnf(c_679,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_241]) ).
cnf(c_329,plain,
sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_679,c_142]) ).
cnf(c_680,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_241]) ).
cnf(c_332,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_680,c_142]) ).
cnf(c_681,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_241]) ).
cnf(c_333,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_681,c_142]) ).
cnf(c_514,plain,
arg1(sK6(c133,pr__344sident_1_1),c133),
inference(resolve,[status(thm)],[c_219,c_242]) ).
cnf(c_519,plain,
arg2(sK6(c133,pr__344sident_1_1),pr__344sident_1_1),
inference(resolve,[status(thm)],[c_220,c_242]) ).
cnf(c_524,plain,
subr(sK6(c133,pr__344sident_1_1),sub_0),
inference(resolve,[status(thm)],[c_221,c_242]) ).
cnf(c_682,plain,
( subr(sK3(sK6(c133,pr__344sident_1_1),c133,A),rprs_0)
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_217,c_514]) ).
cnf(c_683,plain,
( subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_682,c_519]) ).
cnf(c_604,plain,
subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0),
inference(resolve,[status(thm)],[c_683,c_524]) ).
cnf(c_684,plain,
( sub(sK4(sK6(c133,pr__344sident_1_1),c133,A),A)
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_216,c_514]) ).
cnf(c_685,plain,
( sub(sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),pr__344sident_1_1)
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_684,c_519]) ).
cnf(c_605,plain,
sub(sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),pr__344sident_1_1),
inference(resolve,[status(thm)],[c_685,c_524]) ).
cnf(c_686,plain,
( obj(sK5(sK6(c133,pr__344sident_1_1),c133,A),c133)
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_215,c_514]) ).
cnf(c_687,plain,
( obj(sK5(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),c133)
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_686,c_519]) ).
cnf(c_606,plain,
obj(sK5(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),c133),
inference(resolve,[status(thm)],[c_687,c_524]) ).
cnf(c_688,plain,
( arg2(sK3(sK6(c133,pr__344sident_1_1),c133,A),sK4(sK6(c133,pr__344sident_1_1),c133,A))
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_212,c_514]) ).
cnf(c_689,plain,
( arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1))
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_688,c_519]) ).
cnf(c_609,plain,
arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1)),
inference(resolve,[status(thm)],[c_689,c_524]) ).
cnf(c_690,plain,
( arg1(sK3(sK6(c133,pr__344sident_1_1),c133,A),c133)
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0)
| ~ arg2(sK6(c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_211,c_514]) ).
cnf(c_691,plain,
( arg1(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),c133)
| ~ subr(sK6(c133,pr__344sident_1_1),sub_0) ),
inference(resolve,[status(thm)],[c_690,c_519]) ).
cnf(c_610,plain,
arg1(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),c133),
inference(resolve,[status(thm)],[c_691,c_524]) ).
cnf(c_692,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_326,c_333]) ).
cnf(c_693,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,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,c133)
| ~ attr(sK1(c133,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(c133,C)
| ~ attr(c133,B)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_692,c_610]) ).
cnf(c_694,negated_conjecture,
( ~ val(C,s__374dafrika_0)
| ~ val(B,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ sub(C,name_1_1)
| ~ sub(A,E)
| ~ sub(B,eigenname_1_1)
| ~ sub(c135,familiename_1_1)
| ~ obj(D,c133)
| ~ attr(sK1(c133,s__374dafrikanisch_1_1,s__374dafrika_0),C)
| ~ attr(c133,B)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_693,c_240]) ).
cnf(c_695,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(A,D)
| ~ sub(c134,eigenname_1_1)
| ~ sub(c135,familiename_1_1)
| ~ obj(C,c133)
| ~ attr(sK1(c133,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_694,c_239]) ).
cnf(c_696,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,C)
| ~ sub(c134,eigenname_1_1)
| ~ sub(c135,familiename_1_1)
| ~ obj(B,c133)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_695,c_332]) ).
cnf(c_697,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ sub(c134,eigenname_1_1)
| ~ sub(c135,familiename_1_1)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_696,c_606]) ).
cnf(c_698,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ sub(c134,eigenname_1_1)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_697,c_245]) ).
cnf(c_699,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(A,B)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),A) ),
inference(resolve,[status(thm)],[c_698,c_243]) ).
cnf(c_700,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ sub(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_699,c_605]) ).
cnf(c_701,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ subr(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),rprs_0)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_700,c_329]) ).
cnf(c_702,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ val(c135,mandela_0)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_701,c_604]) ).
cnf(c_703,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c134,nelson_0)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_702,c_246]) ).
cnf(c_704,negated_conjecture,
( ~ val(sK2(c133,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1)) ),
inference(resolve,[status(thm)],[c_703,c_244]) ).
cnf(c_705,negated_conjecture,
~ arg2(sK3(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1),sK4(sK6(c133,pr__344sident_1_1),c133,pr__344sident_1_1)),
inference(resolve,[status(thm)],[c_704,c_328]) ).
cnf(c_677,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_609,c_705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+21 : 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 : n009.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 01:14:44 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 1533980 was started by sandbox on n009,
% 0.11/0.38 % Sun Sep 27 01:14:44 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.24/0.68
% 1.24/0.68 % SInE (scan): 71 to sos (tol 1.5x), 26 to usable (tol 2.0x), 10091 zapped, of 10188 axioms (depth 3).
% 1.24/0.68
% 1.24/0.68 % From the command line: assign(max_seconds, 300).
% 1.24/0.68
% 1.24/0.68 % SZS status Theorem for theBenchmark
% 1.24/0.68
% 1.24/0.68 % Proof 1 at 0.11 (+ 0.03) seconds.
% 1.24/0.68 % Length of proof is 40.
% 1.24/0.68 % Level of proof is 4.
% 1.24/0.68 % Maximum clause weight is 112.000.
% 1.24/0.68 % Given clauses 458.
% 1.24/0.68
% 1.24/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------