%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+18 : 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 : n013.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 1.65s 0.65s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 604 ( 0 equ)
% Maximal formula atoms : 217 ( 7 avg)
% Number of connectives : 754 ( 233 ~; 217 |; 301 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 217 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 55 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_1734,axiom,
( varia(depesche_1_1,varia_c)
& refer(depesche_1_1,refer_c)
& quant(depesche_1_1,one)
& gener(depesche_1_1,ge)
& fact(depesche_1_1,real)
& etype(depesche_1_1,int0)
& card(depesche_1_1,int1)
& sort(depesche_1_1,io)
& sort(depesche_1_1,d)
& varia(gl__374ckwunsch_1_1,varia_c)
& refer(gl__374ckwunsch_1_1,refer_c)
& quant(gl__374ckwunsch_1_1,one)
& gener(gl__374ckwunsch_1_1,ge)
& fact(gl__374ckwunsch_1_1,real)
& etype(gl__374ckwunsch_1_1,int0)
& card(gl__374ckwunsch_1_1,int1)
& sort(gl__374ckwunsch_1_1,io)
& sort(gl__374ckwunsch_1_1,d)
& sort(gl__374ckwunsch_1_1,ad)
& gener(senden_1_2,ge)
& fact(senden_1_2,real)
& sort(senden_1_2,da)
& gener(c8235,sp)
& fact(c8235,real)
& sort(c8235,da)
& varia(gl__374ckwunschstelegramm_1_1,varia_c)
& refer(gl__374ckwunschstelegramm_1_1,refer_c)
& quant(gl__374ckwunschstelegramm_1_1,one)
& gener(gl__374ckwunschstelegramm_1_1,ge)
& fact(gl__374ckwunschstelegramm_1_1,real)
& etype(gl__374ckwunschstelegramm_1_1,int0)
& card(gl__374ckwunschstelegramm_1_1,int1)
& sort(gl__374ckwunschstelegramm_1_1,io)
& sort(gl__374ckwunschstelegramm_1_1,d)
& varia(c13631,varia_c)
& refer(c13631,indet)
& quant(c13631,one)
& gener(c13631,sp)
& fact(c13631,real)
& etype(c13631,int0)
& card(c13631,int1)
& sort(c13631,io)
& sort(c13631,d)
& gener(stellen_1_3,ge)
& fact(stellen_1_3,real)
& sort(stellen_1_3,da)
& sort(direkt_1_1,nq)
& varia(c13605,con)
& refer(c13605,det)
& quant(c13605,one)
& gener(c13605,sp)
& fact(c13605,real)
& etype(c13605,int0)
& card(c13605,int1)
& sort(c13605,io)
& sort(c13605,d)
& sort(c13605,ad)
& varia(c13603,varia_c)
& refer(c13603,det)
& quant(c13603,one)
& gener(c13603,sp)
& fact(c13603,real)
& etype(c13603,int0)
& card(c13603,int1)
& sort(c13603,o)
& varia(wahl_1_1,varia_c)
& refer(wahl_1_1,refer_c)
& quant(wahl_1_1,one)
& gener(wahl_1_1,ge)
& fact(wahl_1_1,real)
& etype(wahl_1_1,int0)
& card(wahl_1_1,int1)
& sort(wahl_1_1,ad)
& gener(c13616,sp)
& fact(c13616,real)
& sort(c13616,da)
& varia(c13598,varia_c)
& refer(c13598,det)
& quant(c13598,one)
& gener(c13598,sp)
& fact(c13598,real)
& etype(c13598,int0)
& card(c13598,int1)
& sort(c13598,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(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(c11817,varia_c)
& refer(c11817,indet)
& quant(c11817,one)
& gener(c11817,sp)
& fact(c11817,real)
& etype(c11817,int0)
& card(c11817,int1)
& sort(c11817,na)
& varia(c11816,varia_c)
& refer(c11816,indet)
& quant(c11816,one)
& gener(c11816,sp)
& fact(c11816,real)
& etype(c11816,int0)
& card(c11816,int1)
& sort(c11816,na)
& varia(c11815,con)
& refer(c11815,det)
& quant(c11815,one)
& gener(c11815,sp)
& fact(c11815,real)
& etype(c11815,int0)
& card(c11815,int1)
& sort(c11815,d)
& sort(elisabeth_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(k__366nigin_1_1,varia_c)
& refer(k__366nigin_1_1,refer_c)
& quant(k__366nigin_1_1,one)
& gener(k__366nigin_1_1,ge)
& fact(k__366nigin_1_1,real)
& etype(k__366nigin_1_1,int0)
& card(k__366nigin_1_1,int1)
& sort(k__366nigin_1_1,d)
& varia(c11806,varia_c)
& refer(c11806,det)
& quant(c11806,one)
& gener(c11806,sp)
& fact(c11806,real)
& etype(c11806,int0)
& card(c11806,int1)
& sort(c11806,na)
& varia(c11805,varia_c)
& refer(c11805,det)
& quant(c11805,one)
& gener(c11805,sp)
& fact(c11805,real)
& etype(c11805,int0)
& card(c11805,int1)
& sort(c11805,d)
& varia(antrag_1_1,varia_c)
& refer(antrag_1_1,refer_c)
& quant(antrag_1_1,one)
& gener(antrag_1_1,ge)
& fact(antrag_1_1,real)
& etype(antrag_1_1,int0)
& card(antrag_1_1,int1)
& sort(antrag_1_1,io)
& sort(antrag_1_1,d)
& sort(antrag_1_1,ad)
& varia(aufnahme_2_1,varia_c)
& refer(aufnahme_2_1,refer_c)
& quant(aufnahme_2_1,one)
& gener(aufnahme_2_1,ge)
& fact(aufnahme_2_1,real)
& etype(aufnahme_2_1,int0)
& card(aufnahme_2_1,int1)
& sort(aufnahme_2_1,ad)
& varia(aufnahmeantrag_1_1,varia_c)
& refer(aufnahmeantrag_1_1,refer_c)
& quant(aufnahmeantrag_1_1,one)
& gener(aufnahmeantrag_1_1,ge)
& fact(aufnahmeantrag_1_1,real)
& etype(aufnahmeantrag_1_1,int0)
& card(aufnahmeantrag_1_1,int1)
& sort(aufnahmeantrag_1_1,io)
& sort(aufnahmeantrag_1_1,d)
& sort(aufnahmeantrag_1_1,ad)
& sub(gl__374ckwunschstelegramm_1_1,depesche_1_1)
& assoc(gl__374ckwunschstelegramm_1_1,gl__374ckwunsch_1_1)
& subs(c8235,senden_1_2)
& ornt(c8235,c11815)
& obj(c8235,c13631)
& agt(c8235,c11805)
& sub(c13631,gl__374ckwunschstelegramm_1_1)
& subs(c13616,stellen_1_3)
& obj(c13616,c13605)
& mannr(c13616,direkt_1_1)
& agt(c13616,c11815)
& sub(c13605,aufnahmeantrag_1_1)
& attch(c13603,c13598)
& subs(c13598,wahl_1_1)
& ante(c13598,c13616)
& val(c11817,mandela_0)
& sub(c11817,familiename_1_1)
& val(c11816,nelson_0)
& sub(c11816,eigenname_1_1)
& sub(c11815,pr__344sident_1_1)
& prop(c11815,s__374dafrikanisch_1_1)
& attr(c11815,c11817)
& attr(c11815,c11816)
& val(c11806,elisabeth_0)
& sub(c11806,eigenname_1_1)
& sub(c11805,k__366nigin_1_1)
& attr(c11805,c11806)
& sub(aufnahmeantrag_1_1,antrag_1_1)
& assoc(aufnahmeantrag_1_1,aufnahme_2_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1734) ).
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_1734,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_1734) ).
fof(synth_qa07_010_mira_news_1734_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_1734]) ).
fof(nnf_57,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_57]) ).
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_111,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_112,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_115,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_116,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_157,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_160,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_36,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_36]) ).
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_221,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_222,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_223,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_37,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_37]) ).
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_224,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_225,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_228,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_229,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_254,plain,
attr(c11815,c11816),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1734]) ).
cnf(c_255,plain,
attr(c11815,c11817),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1734]) ).
cnf(c_256,plain,
prop(c11815,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1734]) ).
cnf(c_257,plain,
sub(c11815,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1734]) ).
cnf(c_258,plain,
sub(c11816,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1734]) ).
cnf(c_259,plain,
val(c11816,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1734]) ).
cnf(c_260,plain,
sub(c11817,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1734]) ).
cnf(c_261,plain,
val(c11817,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1734]) ).
cnf(c_465,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_1734_neg]) ).
cnf(c_1190,plain,
( val(sK2(c11815,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_116,c_256]) ).
cnf(c_471,plain,
val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_1190,c_157]) ).
cnf(c_1191,plain,
( sub(sK2(c11815,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_115,c_256]) ).
cnf(c_472,plain,
sub(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_1191,c_157]) ).
cnf(c_1192,plain,
( attr(sK1(c11815,s__374dafrikanisch_1_1,A),sK2(c11815,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_112,c_256]) ).
cnf(c_475,plain,
attr(sK1(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1192,c_157]) ).
cnf(c_1193,plain,
( in(sK0(c11815,s__374dafrikanisch_1_1,A),sK1(c11815,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_111,c_256]) ).
cnf(c_476,plain,
in(sK0(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c11815,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1193,c_157]) ).
cnf(c_1194,plain,
( arg1(sK3(c11816,A,c11815),c11815)
| ~ sub(c11816,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_221,c_254]) ).
cnf(c_1195,plain,
( arg1(sK3(c11816,eigenname_1_1,c11815),c11815)
| ~ sub(c11816,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1194,c_160]) ).
cnf(c_606,plain,
arg1(sK3(c11816,eigenname_1_1,c11815),c11815),
inference(resolve,[status(thm)],[c_1195,c_258]) ).
cnf(c_1196,plain,
( arg2(sK3(c11816,A,c11815),c11815)
| ~ sub(c11816,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_222,c_254]) ).
cnf(c_1197,plain,
( arg2(sK3(c11816,eigenname_1_1,c11815),c11815)
| ~ sub(c11816,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1196,c_160]) ).
cnf(c_617,plain,
arg2(sK3(c11816,eigenname_1_1,c11815),c11815),
inference(resolve,[status(thm)],[c_1197,c_258]) ).
cnf(c_1198,plain,
( subs(sK3(c11816,A,c11815),hei__337en_1_1)
| ~ sub(c11816,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_223,c_254]) ).
cnf(c_1199,plain,
( subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1)
| ~ sub(c11816,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1198,c_160]) ).
cnf(c_619,plain,
subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1199,c_258]) ).
cnf(c_1200,plain,
( subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,A),rprs_0)
| ~ subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1)
| ~ arg2(sK3(c11816,eigenname_1_1,c11815),A) ),
inference(resolve,[status(thm)],[c_229,c_606]) ).
cnf(c_1201,plain,
( subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1200,c_617]) ).
cnf(c_941,plain,
subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0),
inference(resolve,[status(thm)],[c_1201,c_619]) ).
cnf(c_1202,plain,
( obj(sK5(sK3(c11816,eigenname_1_1,c11815),c11815,A),c11815)
| ~ subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1)
| ~ arg2(sK3(c11816,eigenname_1_1,c11815),A) ),
inference(resolve,[status(thm)],[c_228,c_606]) ).
cnf(c_1203,plain,
( obj(sK5(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815)
| ~ subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1202,c_617]) ).
cnf(c_942,plain,
obj(sK5(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815),
inference(resolve,[status(thm)],[c_1203,c_619]) ).
cnf(c_1204,plain,
( arg2(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,A),A)
| ~ subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1)
| ~ arg2(sK3(c11816,eigenname_1_1,c11815),A) ),
inference(resolve,[status(thm)],[c_225,c_606]) ).
cnf(c_1205,plain,
( arg2(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815)
| ~ subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1204,c_617]) ).
cnf(c_945,plain,
arg2(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815),
inference(resolve,[status(thm)],[c_1205,c_619]) ).
cnf(c_1206,plain,
( arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,A),c11815)
| ~ subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1)
| ~ arg2(sK3(c11816,eigenname_1_1,c11815),A) ),
inference(resolve,[status(thm)],[c_224,c_606]) ).
cnf(c_1207,plain,
( arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815)
| ~ subs(sK3(c11816,eigenname_1_1,c11815),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1206,c_617]) ).
cnf(c_946,plain,
arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815),
inference(resolve,[status(thm)],[c_1207,c_619]) ).
cnf(c_1208,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(c11815,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_465,c_476]) ).
cnf(c_1209,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c11815,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),A) ),
inference(resolve,[status(thm)],[c_1208,c_945]) ).
cnf(c_1210,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c11817,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c11815,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c11817,familiename_1_1)
| ~ obj(C,c11815)
| ~ attr(sK1(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c11815,A)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1209,c_255]) ).
cnf(c_1211,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ val(c11817,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c11815,C)
| ~ sub(c11816,eigenname_1_1)
| ~ sub(c11817,familiename_1_1)
| ~ obj(B,c11815)
| ~ attr(sK1(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1210,c_254]) ).
cnf(c_1212,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ val(c11817,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ sub(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c11815,B)
| ~ sub(c11816,eigenname_1_1)
| ~ sub(c11817,familiename_1_1)
| ~ obj(A,c11815)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1211,c_475]) ).
cnf(c_1213,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ val(c11817,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ sub(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c11815,A)
| ~ sub(c11816,eigenname_1_1)
| ~ sub(c11817,familiename_1_1)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1212,c_942]) ).
cnf(c_1214,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ val(c11817,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ sub(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c11815,A)
| ~ sub(c11816,eigenname_1_1)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1213,c_260]) ).
cnf(c_1215,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ val(c11817,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ sub(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c11815,A)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1214,c_258]) ).
cnf(c_1216,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ val(c11817,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ sub(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1215,c_257]) ).
cnf(c_1217,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ val(c11817,mandela_0)
| ~ subr(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),rprs_0)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1216,c_472]) ).
cnf(c_1218,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ val(c11817,mandela_0)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1217,c_941]) ).
cnf(c_1219,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c11816,nelson_0)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1218,c_261]) ).
cnf(c_1220,negated_conjecture,
( ~ val(sK2(c11815,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815) ),
inference(resolve,[status(thm)],[c_1219,c_259]) ).
cnf(c_1221,negated_conjecture,
~ arg1(sK4(sK3(c11816,eigenname_1_1,c11815),c11815,c11815),c11815),
inference(resolve,[status(thm)],[c_1220,c_471]) ).
cnf(c_1189,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_946,c_1221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+18 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 01:13:21 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.35 % Process 3937290 was started by sandbox on n013,
% 0.10/0.35 % Sun Sep 27 01:13:21 2026
% 0.10/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.65/0.65
% 1.65/0.65 % SInE (scan): 75 to sos (tol 1.5x), 32 to usable (tol 2.0x), 10081 zapped, of 10188 axioms (depth 3).
% 1.65/0.65
% 1.65/0.65 % From the command line: assign(max_seconds, 300).
% 1.65/0.65
% 1.65/0.65 % given #500 (A,wt=5): 658 has_card_leq(pr__344sident_1_1,card_c). [ur(68,a,364,a)].
% 1.65/0.65
% 1.65/0.65 % SZS status Theorem for theBenchmark
% 1.65/0.65
% 1.65/0.65 % Proof 1 at 0.16 (+ 0.06) seconds.
% 1.65/0.65 % Length of proof is 40.
% 1.65/0.65 % Level of proof is 4.
% 1.65/0.65 % Maximum clause weight is 109.000.
% 1.65/0.65 % Given clauses 838.
% 1.65/0.65
% 1.65/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------