%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+28 : 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 : n012.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 07:07:53 AM UTC 2026
% Result : Theorem 0.59s 0.54s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 640 ( 0 equ)
% Maximal formula atoms : 253 ( 7 avg)
% Number of connectives : 790 ( 233 ~; 217 |; 337 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 253 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-2 aty)
% Number of functors : 69 ( 69 usr; 62 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_1818,axiom,
( varia(orden_1_1,varia_c)
& refer(orden_1_1,refer_c)
& quant(orden_1_1,quant_c)
& gener(orden_1_1,ge)
& fact(orden_1_1,real)
& etype(orden_1_1,int1)
& card(orden_1_1,card_c)
& sort(orden_1_1,io)
& sort(orden_1_1,d)
& varia(verdienst_2_1,varia_c)
& refer(verdienst_2_1,refer_c)
& quant(verdienst_2_1,one)
& gener(verdienst_2_1,ge)
& fact(verdienst_2_1,real)
& etype(verdienst_2_1,int0)
& card(verdienst_2_1,int1)
& sort(verdienst_2_1,io)
& sort(verdienst_2_1,as)
& 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(residenz__1_1,varia_c)
& refer(residenz__1_1,refer_c)
& quant(residenz__1_1,one)
& gener(residenz__1_1,ge)
& fact(residenz__1_1,real)
& etype(residenz__1_1,int0)
& card(residenz__1_1,int1)
& sort(residenz__1_1,d)
& sort(s__374dafrika_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(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c32,varia_c)
& refer(c32,indet)
& quant(c32,one)
& gener(c32,sp)
& fact(c32,real)
& etype(c32,int0)
& card(c32,int1)
& sort(c32,na)
& varia(c31,con)
& refer(c31,det)
& quant(c31,one)
& gener(c31,sp)
& fact(c31,real)
& etype(c31,int0)
& card(c31,int1)
& sort(c31,io)
& sort(c31,d)
& varia(landesvater_1_1,varia_c)
& refer(landesvater_1_1,refer_c)
& quant(landesvater_1_1,one)
& gener(landesvater_1_1,ge)
& fact(landesvater_1_1,real)
& etype(landesvater_1_1,int0)
& card(landesvater_1_1,int1)
& sort(landesvater_1_1,d)
& varia(c287,varia_c)
& refer(c287,indet)
& quant(c287,mult)
& gener(c287,sp)
& fact(c287,real)
& etype(c287,int1)
& card(c287,cons(x_constant,cons(int1,nil)))
& sort(c287,l)
& gener(auszeichnen_1_1,ge)
& fact(auszeichnen_1_1,real)
& sort(auszeichnen_1_1,da)
& varia(c29,varia_c)
& refer(c29,refer_c)
& quant(c29,one)
& gener(c29,sp)
& fact(c29,real)
& etype(c29,int0)
& card(c29,int1)
& sort(c29,d)
& varia(c288,con)
& refer(c288,det)
& quant(c288,one)
& gener(c288,sp)
& fact(c288,real)
& etype(c288,int0)
& card(c288,int1)
& sort(c288,l)
& gener(c284,sp)
& fact(c284,real)
& sort(c284,da)
& varia(verdienstorden_1_1,varia_c)
& refer(verdienstorden_1_1,refer_c)
& quant(verdienstorden_1_1,quant_c)
& gener(verdienstorden_1_1,ge)
& fact(verdienstorden_1_1,real)
& etype(verdienstorden_1_1,int1)
& card(verdienstorden_1_1,card_c)
& sort(verdienstorden_1_1,io)
& sort(verdienstorden_1_1,d)
& varia(c277,con)
& refer(c277,det)
& quant(c277,one)
& gener(c277,sp)
& fact(c277,real)
& etype(c277,int1)
& card(c277,int1)
& sort(c277,io)
& sort(c277,d)
& 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(c26,con)
& refer(c26,det)
& quant(c26,one)
& gener(c26,sp)
& fact(c26,real)
& etype(c26,int0)
& card(c26,int1)
& sort(c26,d)
& varia(tuinhuys_1_1,varia_c)
& refer(tuinhuys_1_1,refer_c)
& quant(tuinhuys_1_1,one)
& gener(tuinhuys_1_1,ge)
& fact(tuinhuys_1_1,real)
& etype(tuinhuys_1_1,int0)
& card(tuinhuys_1_1,int1)
& sort(tuinhuys_1_1,o)
& varia(c21,varia_c)
& refer(c21,indet)
& quant(c21,mult)
& gener(c21,sp)
& fact(c21,real)
& etype(c21,int1)
& card(c21,cons(x_constant,cons(int1,nil)))
& sort(c21,o)
& 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(c19,varia_c)
& refer(c19,indet)
& quant(c19,one)
& gener(c19,sp)
& fact(c19,real)
& etype(c19,int0)
& card(c19,int1)
& sort(c19,na)
& varia(c18,varia_c)
& refer(c18,indet)
& quant(c18,one)
& gener(c18,sp)
& fact(c18,real)
& etype(c18,int0)
& card(c18,int1)
& sort(c18,na)
& varia(c8,con)
& refer(c8,det)
& quant(c8,one)
& gener(c8,sp)
& fact(c8,real)
& etype(c8,int0)
& card(c8,int1)
& sort(c8,d)
& varia(c17,con)
& refer(c17,det)
& quant(c17,one)
& gener(c17,sp)
& fact(c17,real)
& etype(c17,int0)
& card(c17,int1)
& sort(c17,d)
& sort(c0,tq)
& gener(anschlie__337en_1_1,ge)
& fact(anschlie__337en_1_1,real)
& sort(anschlie__337en_1_1,da)
& sub(verdienstorden_1_1,orden_1_1)
& assoc(verdienstorden_1_1,verdienst_2_1)
& sub(landesvater_1_1,an_f__374hrer_1_1)
& assoc(landesvater_1_1,land_1_1)
& sub(c8,residenz__1_1)
& loc(c8,c287)
& val(c32,s__374dafrika_0)
& sub(c32,name_1_1)
& sub(c31,land_1_1)
& attr(c31,c32)
& attch(c31,c26)
& sub(c29,landesvater_1_1)
& in(c288,c8)
& in(c287,c21)
& subs(c284,auszeichnen_1_1)
& ornt(c284,c29)
& mannr(c284,c0)
& loc(c284,c288)
& assoc(c284,c277)
& agt(c284,c26)
& sub(c277,verdienstorden_1_1)
& sub(c26,k__366nigin_1_1)
& pred(c21,tuinhuys_1_1)
& val(c19,mandela_0)
& sub(c19,familiename_1_1)
& val(c18,nelson_0)
& sub(c18,eigenname_1_1)
& sub(c17,pr__344sident_1_1)
& prop(c17,s__374dafrikanisch_1_1)
& attr(c17,c19)
& attr(c17,c18)
& attch(c17,c8)
& chsp1(anschlie__337en_1_1,c0) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1818) ).
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_1818,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_1818) ).
fof(synth_qa07_010_mira_news_1818_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_1818]) ).
fof(nnf_62,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_62]) ).
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_121,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_122,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_125,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_126,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]) ).
cnf(c_165,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_38,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_38]) ).
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_236,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_237,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_238,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_39,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_39]) ).
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_239,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_240,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_243,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_244,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_270,plain,
attr(c17,c18),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1818]) ).
cnf(c_271,plain,
attr(c17,c19),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1818]) ).
cnf(c_272,plain,
prop(c17,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1818]) ).
cnf(c_273,plain,
sub(c17,pr__344sident_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1818]) ).
cnf(c_274,plain,
sub(c18,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1818]) ).
cnf(c_275,plain,
val(c18,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1818]) ).
cnf(c_276,plain,
sub(c19,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1818]) ).
cnf(c_277,plain,
val(c19,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1818]) ).
cnf(c_520,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_1818_neg]) ).
cnf(c_1313,plain,
( val(sK2(c17,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_126,c_272]) ).
cnf(c_522,plain,
val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_1313,c_162]) ).
cnf(c_1314,plain,
( sub(sK2(c17,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_125,c_272]) ).
cnf(c_523,plain,
sub(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_1314,c_162]) ).
cnf(c_1315,plain,
( attr(sK1(c17,s__374dafrikanisch_1_1,A),sK2(c17,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_122,c_272]) ).
cnf(c_526,plain,
attr(sK1(c17,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1315,c_162]) ).
cnf(c_1316,plain,
( in(sK0(c17,s__374dafrikanisch_1_1,A),sK1(c17,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_121,c_272]) ).
cnf(c_527,plain,
in(sK0(c17,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c17,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1316,c_162]) ).
cnf(c_1317,plain,
( arg1(sK3(c18,A,c17),c17)
| ~ sub(c18,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_236,c_270]) ).
cnf(c_1318,plain,
( arg1(sK3(c18,eigenname_1_1,c17),c17)
| ~ sub(c18,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1317,c_165]) ).
cnf(c_693,plain,
arg1(sK3(c18,eigenname_1_1,c17),c17),
inference(resolve,[status(thm)],[c_1318,c_274]) ).
cnf(c_1319,plain,
( arg2(sK3(c18,A,c17),c17)
| ~ sub(c18,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_237,c_270]) ).
cnf(c_1320,plain,
( arg2(sK3(c18,eigenname_1_1,c17),c17)
| ~ sub(c18,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1319,c_165]) ).
cnf(c_702,plain,
arg2(sK3(c18,eigenname_1_1,c17),c17),
inference(resolve,[status(thm)],[c_1320,c_274]) ).
cnf(c_1321,plain,
( subs(sK3(c18,A,c17),hei__337en_1_1)
| ~ sub(c18,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_238,c_270]) ).
cnf(c_1322,plain,
( subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1)
| ~ sub(c18,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1321,c_165]) ).
cnf(c_703,plain,
subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1322,c_274]) ).
cnf(c_1323,plain,
( subr(sK4(sK3(c18,eigenname_1_1,c17),c17,A),rprs_0)
| ~ subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1)
| ~ arg2(sK3(c18,eigenname_1_1,c17),A) ),
inference(resolve,[status(thm)],[c_244,c_693]) ).
cnf(c_1324,plain,
( subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1323,c_702]) ).
cnf(c_1057,plain,
subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0),
inference(resolve,[status(thm)],[c_1324,c_703]) ).
cnf(c_1325,plain,
( obj(sK5(sK3(c18,eigenname_1_1,c17),c17,A),c17)
| ~ subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1)
| ~ arg2(sK3(c18,eigenname_1_1,c17),A) ),
inference(resolve,[status(thm)],[c_243,c_693]) ).
cnf(c_1326,plain,
( obj(sK5(sK3(c18,eigenname_1_1,c17),c17,c17),c17)
| ~ subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1325,c_702]) ).
cnf(c_1058,plain,
obj(sK5(sK3(c18,eigenname_1_1,c17),c17,c17),c17),
inference(resolve,[status(thm)],[c_1326,c_703]) ).
cnf(c_1327,plain,
( arg2(sK4(sK3(c18,eigenname_1_1,c17),c17,A),A)
| ~ subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1)
| ~ arg2(sK3(c18,eigenname_1_1,c17),A) ),
inference(resolve,[status(thm)],[c_240,c_693]) ).
cnf(c_1328,plain,
( arg2(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17)
| ~ subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1327,c_702]) ).
cnf(c_1061,plain,
arg2(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17),
inference(resolve,[status(thm)],[c_1328,c_703]) ).
cnf(c_1329,plain,
( arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,A),c17)
| ~ subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1)
| ~ arg2(sK3(c18,eigenname_1_1,c17),A) ),
inference(resolve,[status(thm)],[c_239,c_693]) ).
cnf(c_1330,plain,
( arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17)
| ~ subs(sK3(c18,eigenname_1_1,c17),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1329,c_702]) ).
cnf(c_1062,plain,
arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17),
inference(resolve,[status(thm)],[c_1330,c_703]) ).
cnf(c_1331,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(c17,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_520,c_527]) ).
cnf(c_1332,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c17,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c17,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),A) ),
inference(resolve,[status(thm)],[c_1331,c_1061]) ).
cnf(c_1333,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c19,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c17,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c19,familiename_1_1)
| ~ obj(C,c17)
| ~ attr(sK1(c17,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c17,A)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1332,c_271]) ).
cnf(c_1334,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ val(c19,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c17,C)
| ~ sub(c18,eigenname_1_1)
| ~ sub(c19,familiename_1_1)
| ~ obj(B,c17)
| ~ attr(sK1(c17,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1333,c_270]) ).
cnf(c_1335,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ val(c19,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ sub(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c17,B)
| ~ sub(c18,eigenname_1_1)
| ~ sub(c19,familiename_1_1)
| ~ obj(A,c17)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1334,c_526]) ).
cnf(c_1336,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ val(c19,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ sub(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c17,A)
| ~ sub(c18,eigenname_1_1)
| ~ sub(c19,familiename_1_1)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1335,c_1058]) ).
cnf(c_1337,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ val(c19,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ sub(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c17,A)
| ~ sub(c18,eigenname_1_1)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1336,c_276]) ).
cnf(c_1338,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ val(c19,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ sub(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c17,A)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1337,c_274]) ).
cnf(c_1339,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ val(c19,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ sub(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1338,c_273]) ).
cnf(c_1340,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ val(c19,mandela_0)
| ~ subr(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),rprs_0)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1339,c_523]) ).
cnf(c_1341,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ val(c19,mandela_0)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1340,c_1057]) ).
cnf(c_1342,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c18,nelson_0)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1341,c_277]) ).
cnf(c_1343,negated_conjecture,
( ~ val(sK2(c17,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17) ),
inference(resolve,[status(thm)],[c_1342,c_275]) ).
cnf(c_1344,negated_conjecture,
~ arg1(sK4(sK3(c18,eigenname_1_1,c17),c17,c17),c17),
inference(resolve,[status(thm)],[c_1343,c_522]) ).
cnf(c_1312,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1062,c_1344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR116+28 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 01:14:19 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.30 % Process 1874823 was started by sandbox2 on n012,
% 0.03/0.30 % Sun Sep 27 01:14:19 2026
% 0.03/0.30 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.59/0.54
% 0.59/0.54 % SInE (scan): 83 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10075 zapped, of 10188 axioms (depth 3).
% 0.59/0.54
% 0.59/0.54 % From the command line: assign(max_seconds, 300).
% 0.59/0.54
% 0.59/0.54 % given #500 (A,wt=5): 664 has_refer_leq(familiename_1_1,refer_c). [ur(177,a,360,a)].
% 0.59/0.54
% 0.59/0.54 % SZS status Theorem for theBenchmark
% 0.59/0.54
% 0.59/0.54 % Proof 1 at 0.10 (+ 0.03) seconds.
% 0.59/0.54 % Length of proof is 40.
% 0.59/0.54 % Level of proof is 4.
% 0.59/0.54 % Maximum clause weight is 47.000.
% 0.59/0.54 % Given clauses 936.
% 0.59/0.54
% 0.59/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------