%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+23 : 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 : n018.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 1.81s 1.10s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 610 ( 0 equ)
% Maximal formula atoms : 223 ( 7 avg)
% Number of connectives : 760 ( 233 ~; 217 |; 307 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 223 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-6 aty)
% Number of functors : 65 ( 65 usr; 58 con; 0-3 aty)
% Number of variables : 191 ( 17 sgn 77 !; 32 ?)
% 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_mira_news_1786,axiom,
( varia(c300,varia_c)
& refer(c300,refer_c)
& quant(c300,quant_c)
& gener(c300,gener_c)
& fact(c300,real)
& etype(c300,etype_c)
& card(c300,card_c)
& sort(c300,ent)
& sort(ii_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(c216,varia_c)
& refer(c216,indet)
& quant(c216,one)
& gener(c216,sp)
& fact(c216,real)
& etype(c216,int0)
& card(c216,int1)
& sort(c216,na)
& varia(c215,varia_c)
& refer(c215,indet)
& quant(c215,one)
& gener(c215,sp)
& fact(c215,real)
& etype(c215,int0)
& card(c215,int1)
& sort(c215,na)
& varia(c214,con)
& refer(c214,det)
& quant(c214,one)
& gener(c214,sp)
& fact(c214,real)
& etype(c214,int0)
& card(c214,int1)
& sort(c214,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(c205,con)
& refer(c205,det)
& quant(c205,mult)
& gener(c205,sp)
& fact(c205,real)
& etype(c205,int1)
& card(c205,cons(x_constant,cons(int1,nil)))
& sort(c205,io)
& sort(c205,d)
& varia(aus_3_1,varia_c)
& refer(aus_3_1,refer_c)
& quant(aus_3_1,one)
& gener(aus_3_1,ge)
& fact(aus_3_1,real)
& etype(aus_3_1,int0)
& card(aus_3_1,int1)
& sort(aus_3_1,io)
& varia(c201,varia_c)
& refer(c201,refer_c)
& quant(c201,one)
& gener(c201,gener_c)
& fact(c201,real)
& etype(c201,int0)
& card(c201,int1)
& sort(c201,io)
& sort(ein_0,fe)
& varia(c197,varia_c)
& refer(c197,indet)
& quant(c197,one)
& gener(c197,sp)
& fact(c197,real)
& etype(c197,int0)
& card(c197,int1)
& sort(c197,na)
& varia(c196,con)
& refer(c196,det)
& quant(c196,one)
& gener(c196,sp)
& fact(c196,real)
& etype(c196,int1)
& card(c196,int1)
& sort(c196,io)
& sort(c196,d)
& 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)
& sort(ist_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(einrichtung_1_2,varia_c)
& refer(einrichtung_1_2,refer_c)
& quant(einrichtung_1_2,quant_c)
& gener(einrichtung_1_2,ge)
& fact(einrichtung_1_2,real)
& etype(einrichtung_1_2,int1)
& card(einrichtung_1_2,card_c)
& sort(einrichtung_1_2,io)
& sort(einrichtung_1_2,d)
& varia(c192,varia_c)
& refer(c192,indet)
& quant(c192,one)
& gener(c192,sp)
& fact(c192,real)
& etype(c192,int0)
& card(c192,int1)
& sort(c192,na)
& varia(c194,varia_c)
& refer(c194,det)
& quant(c194,one)
& gener(c194,sp)
& fact(c194,real)
& etype(c194,int0)
& card(c194,int1)
& sort(c194,d)
& varia(c191,con)
& refer(c191,det)
& quant(c191,one)
& gener(c191,sp)
& fact(c191,real)
& etype(c191,int1)
& card(c191,int1)
& sort(c191,io)
& sort(c191,d)
& 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(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(c222,varia_c)
& refer(c222,indet)
& quant(c222,one)
& gener(c222,sp)
& fact(c222,real)
& etype(c222,int0)
& card(c222,int1)
& sort(c222,na)
& varia(c186,varia_c)
& refer(c186,indet)
& quant(c186,one)
& gener(c186,sp)
& fact(c186,real)
& etype(c186,int0)
& card(c186,int1)
& sort(c186,d)
& tupl_p6(c300,c186,c194,c201,c205,c186)
& val(c222,ii_0)
& sub(c222,eigenname_1_1)
& val(c216,mandela_0)
& sub(c216,familiename_1_1)
& val(c215,nelson_0)
& sub(c215,eigenname_1_1)
& sub(c214,pr__344sident_1_1)
& prop(c214,s__374dafrikanisch_1_1)
& attr(c214,c216)
& attr(c214,c215)
& attch(c214,c205)
& pred(c205,autobiographie_1_1)
& sub(c201,aus_3_1)
& val(c197,ein_0)
& sub(c197,name_1_1)
& sub(c196,einrichtung_1_2)
& attr(c196,c197)
& attch(c196,c194)
& sub(c194,hirte_1_1)
& val(c192,ist_0)
& sub(c192,name_1_1)
& sub(c191,einrichtung_1_2)
& attr(c191,c192)
& attch(c191,c194)
& sub(c186,mensch_1_1)
& sub(c186,an_f__374hrer_1_1)
& attr(c186,c222) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1786) ).
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_1786,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_1786) ).
fof(synth_qa07_010_mira_news_1786_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_1786]) ).
fof(nnf_66,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_66]) ).
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_122,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_123,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_126,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_127,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_154,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_156,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_42,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(fof_nnf,[status(thm)],[attr_name_hei__337en_1_1]) ).
fof(sk_attr_name_hei__337en_1_1_sk,plain,
! [X0,X1,X2] :
( ( subs(sK3(X0,X1,X2),hei__337en_1_1)
& arg2(sK3(X0,X1,X2),X2)
& arg1(sK3(X0,X1,X2),X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[nnf_42]) ).
fof(sk_attr_name_hei__337en_1_1,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK3(VAR_1,VAR_2,VAR_0),hei__337en_1_1)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK3(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK3(VAR_1,VAR_2,VAR_0),VAR_0)
| ~ sub(VAR_1,VAR_2)
| ~ member(VAR_2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_attr_name_hei__337en_1_1_sk]) ).
cnf(c_225,plain,
( arg1(sK3(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_226,plain,
( arg2(sK3(B,C,A),A)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
cnf(c_227,plain,
( subs(sK3(B,C,A),hei__337en_1_1)
| ~ sub(B,C)
| ~ member(C,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(A,B) ),
inference(split_conjunct,[status(thm)],[sk_attr_name_hei__337en_1_1]) ).
fof(nnf_43,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(fof_nnf,[status(thm)],[hei__337en_1_1__bezeichnen_1_1_als]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als_sk,plain,
! [X0,X1,X2] :
( ( subs(sK5(X0,X1,X2),bezeichnen_1_1)
& subr(sK4(X0,X1,X2),rprs_0)
& obj(sK5(X0,X1,X2),X1)
& mcont(sK5(X0,X1,X2),sK4(X0,X1,X2))
& hsit(X0,sK5(X0,X1,X2))
& arg2(sK4(X0,X1,X2),X2)
& arg1(sK4(X0,X1,X2),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2))],[nnf_43]) ).
fof(sk_hei__337en_1_1__bezeichnen_1_1_als,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subs(sK5(VAR_0,VAR_1,VAR_2),bezeichnen_1_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( subr(sK4(VAR_0,VAR_1,VAR_2),rprs_0)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( obj(sK5(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( mcont(sK5(VAR_0,VAR_1,VAR_2),sK4(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( hsit(VAR_0,sK5(VAR_0,VAR_1,VAR_2))
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg2(sK4(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( arg1(sK4(VAR_0,VAR_1,VAR_2),VAR_1)
| ~ subs(VAR_0,hei__337en_1_1)
| ~ arg2(VAR_0,VAR_2)
| ~ arg1(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als_sk]) ).
cnf(c_228,plain,
( arg1(sK4(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_229,plain,
( arg2(sK4(A,B,C),C)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_232,plain,
( obj(sK5(A,B,C),B)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_233,plain,
( subr(sK4(A,B,C),rprs_0)
| ~ subs(A,hei__337en_1_1)
| ~ arg2(A,C)
| ~ arg1(A,B) ),
inference(split_conjunct,[status(thm)],[sk_hei__337en_1_1__bezeichnen_1_1_als]) ).
cnf(c_274,plain,
attr(c214,c215),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1786]) ).
cnf(c_275,plain,
attr(c214,c216),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1786]) ).
cnf(c_276,plain,
prop(c214,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1786]) ).
cnf(c_277,plain,
sub(c214,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1786]) ).
cnf(c_278,plain,
sub(c215,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1786]) ).
cnf(c_279,plain,
val(c215,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1786]) ).
cnf(c_280,plain,
sub(c216,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1786]) ).
cnf(c_281,plain,
val(c216,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1786]) ).
cnf(c_480,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_1786_neg]) ).
cnf(c_1189,plain,
( val(sK2(c214,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_127,c_276]) ).
cnf(c_482,plain,
val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_1189,c_154]) ).
cnf(c_1190,plain,
( sub(sK2(c214,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_126,c_276]) ).
cnf(c_483,plain,
sub(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_1190,c_154]) ).
cnf(c_1191,plain,
( attr(sK1(c214,s__374dafrikanisch_1_1,A),sK2(c214,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_123,c_276]) ).
cnf(c_486,plain,
attr(sK1(c214,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1191,c_154]) ).
cnf(c_1192,plain,
( in(sK0(c214,s__374dafrikanisch_1_1,A),sK1(c214,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_122,c_276]) ).
cnf(c_487,plain,
in(sK0(c214,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c214,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1192,c_154]) ).
cnf(c_1193,plain,
( arg1(sK3(c215,A,c214),c214)
| ~ sub(c215,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_225,c_274]) ).
cnf(c_1194,plain,
( arg1(sK3(c215,eigenname_1_1,c214),c214)
| ~ sub(c215,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1193,c_156]) ).
cnf(c_694,plain,
arg1(sK3(c215,eigenname_1_1,c214),c214),
inference(resolve,[status(thm)],[c_1194,c_278]) ).
cnf(c_1195,plain,
( arg2(sK3(c215,A,c214),c214)
| ~ sub(c215,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_226,c_274]) ).
cnf(c_1196,plain,
( arg2(sK3(c215,eigenname_1_1,c214),c214)
| ~ sub(c215,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1195,c_156]) ).
cnf(c_696,plain,
arg2(sK3(c215,eigenname_1_1,c214),c214),
inference(resolve,[status(thm)],[c_1196,c_278]) ).
cnf(c_1197,plain,
( subs(sK3(c215,A,c214),hei__337en_1_1)
| ~ sub(c215,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_227,c_274]) ).
cnf(c_1198,plain,
( subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1)
| ~ sub(c215,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1197,c_156]) ).
cnf(c_705,plain,
subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1198,c_278]) ).
cnf(c_1199,plain,
( subr(sK4(sK3(c215,eigenname_1_1,c214),c214,A),rprs_0)
| ~ subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1)
| ~ arg2(sK3(c215,eigenname_1_1,c214),A) ),
inference(resolve,[status(thm)],[c_233,c_694]) ).
cnf(c_1200,plain,
( subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1199,c_696]) ).
cnf(c_949,plain,
subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0),
inference(resolve,[status(thm)],[c_1200,c_705]) ).
cnf(c_1201,plain,
( obj(sK5(sK3(c215,eigenname_1_1,c214),c214,A),c214)
| ~ subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1)
| ~ arg2(sK3(c215,eigenname_1_1,c214),A) ),
inference(resolve,[status(thm)],[c_232,c_694]) ).
cnf(c_1202,plain,
( obj(sK5(sK3(c215,eigenname_1_1,c214),c214,c214),c214)
| ~ subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1201,c_696]) ).
cnf(c_950,plain,
obj(sK5(sK3(c215,eigenname_1_1,c214),c214,c214),c214),
inference(resolve,[status(thm)],[c_1202,c_705]) ).
cnf(c_1203,plain,
( arg2(sK4(sK3(c215,eigenname_1_1,c214),c214,A),A)
| ~ subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1)
| ~ arg2(sK3(c215,eigenname_1_1,c214),A) ),
inference(resolve,[status(thm)],[c_229,c_694]) ).
cnf(c_1204,plain,
( arg2(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214)
| ~ subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1203,c_696]) ).
cnf(c_953,plain,
arg2(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214),
inference(resolve,[status(thm)],[c_1204,c_705]) ).
cnf(c_1205,plain,
( arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,A),c214)
| ~ subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1)
| ~ arg2(sK3(c215,eigenname_1_1,c214),A) ),
inference(resolve,[status(thm)],[c_228,c_694]) ).
cnf(c_1206,plain,
( arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214)
| ~ subs(sK3(c215,eigenname_1_1,c214),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1205,c_696]) ).
cnf(c_954,plain,
arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214),
inference(resolve,[status(thm)],[c_1206,c_705]) ).
cnf(c_1207,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(c214,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_480,c_487]) ).
cnf(c_1208,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c214,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c214,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),A) ),
inference(resolve,[status(thm)],[c_1207,c_953]) ).
cnf(c_1209,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c216,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c214,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c216,familiename_1_1)
| ~ obj(C,c214)
| ~ attr(sK1(c214,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c214,A)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1208,c_275]) ).
cnf(c_1210,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ val(c216,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c214,C)
| ~ sub(c215,eigenname_1_1)
| ~ sub(c216,familiename_1_1)
| ~ obj(B,c214)
| ~ attr(sK1(c214,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1209,c_274]) ).
cnf(c_1211,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ val(c216,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ sub(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c214,B)
| ~ sub(c215,eigenname_1_1)
| ~ sub(c216,familiename_1_1)
| ~ obj(A,c214)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1210,c_486]) ).
cnf(c_1212,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ val(c216,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ sub(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c214,A)
| ~ sub(c215,eigenname_1_1)
| ~ sub(c216,familiename_1_1)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1211,c_950]) ).
cnf(c_1213,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ val(c216,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ sub(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c214,A)
| ~ sub(c215,eigenname_1_1)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1212,c_280]) ).
cnf(c_1214,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ val(c216,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ sub(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c214,A)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1213,c_278]) ).
cnf(c_1215,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ val(c216,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ sub(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1214,c_277]) ).
cnf(c_1216,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ val(c216,mandela_0)
| ~ subr(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),rprs_0)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1215,c_483]) ).
cnf(c_1217,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ val(c216,mandela_0)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1216,c_949]) ).
cnf(c_1218,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c215,nelson_0)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1217,c_281]) ).
cnf(c_1219,negated_conjecture,
( ~ val(sK2(c214,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214) ),
inference(resolve,[status(thm)],[c_1218,c_279]) ).
cnf(c_1220,negated_conjecture,
~ arg1(sK4(sK3(c215,eigenname_1_1,c214),c214,c214),c214),
inference(resolve,[status(thm)],[c_1219,c_482]) ).
cnf(c_1188,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_954,c_1220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR116+23 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44 % Computer : n018.cluster.edu
% 0.11/0.44 % Model : x86_64 x86_64
% 0.11/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.44 % Memory : 8046.5625MB
% 0.11/0.44 % OS : Linux 6.8.0-71-generic
% 0.11/0.44 % CPULimit : 300
% 0.11/0.44 % WCLimit : 300
% 0.11/0.44 % DateTime : Sun Sep 27 01:16:39 UTC 2026
% 0.11/0.45 % CPUTime :
% 0.11/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.45 % Process 1823590 was started by sandbox on n018,
% 0.11/0.45 % Sun Sep 27 01:16:39 2026
% 0.11/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.81/1.10
% 1.81/1.10 % SInE (scan): 77 to sos (tol 1.5x), 27 to usable (tol 2.0x), 10084 zapped, of 10188 axioms (depth 3).
% 1.81/1.10
% 1.81/1.10 % From the command line: assign(max_seconds, 300).
% 1.81/1.10
% 1.81/1.10 % given #500 (A,wt=5): 655 has_card_leq(c196,int1). [ur(172,a,370,a)].
% 1.81/1.10
% 1.81/1.10 % SZS status Theorem for theBenchmark
% 1.81/1.10
% 1.81/1.10 % Proof 1 at 0.17 (+ 0.05) seconds.
% 1.81/1.10 % Length of proof is 40.
% 1.81/1.10 % Level of proof is 4.
% 1.81/1.10 % Maximum clause weight is 47.000.
% 1.81/1.10 % Given clauses 858.
% 1.81/1.10
% 1.81/1.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------