%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR116+36 : 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 : n020.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 07:07:54 AM UTC 2026
% Result : Theorem 0.14s 1.05s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 598 ( 0 equ)
% Maximal formula atoms : 211 ( 7 avg)
% Number of connectives : 748 ( 233 ~; 217 |; 295 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 211 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 28 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_wp_716,axiom,
( varia(b__374ro_1_1,varia_c)
& refer(b__374ro_1_1,refer_c)
& quant(b__374ro_1_1,one)
& gener(b__374ro_1_1,ge)
& fact(b__374ro_1_1,real)
& etype(b__374ro_1_1,int0)
& card(b__374ro_1_1,int1)
& sort(b__374ro_1_1,io)
& sort(b__374ro_1_1,d)
& varia(haupt_1_1,varia_c)
& refer(haupt_1_1,refer_c)
& quant(haupt_1_1,one)
& gener(haupt_1_1,ge)
& fact(haupt_1_1,real)
& etype(haupt_1_1,int0)
& card(haupt_1_1,int1)
& sort(haupt_1_1,d)
& 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(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(c7,varia_c)
& refer(c7,indet)
& quant(c7,one)
& gener(c7,sp)
& fact(c7,real)
& etype(c7,int0)
& card(c7,int1)
& sort(c7,na)
& varia(c6,varia_c)
& refer(c6,indet)
& quant(c6,one)
& gener(c6,sp)
& fact(c6,real)
& etype(c6,int0)
& card(c6,int1)
& sort(c6,na)
& gener(name_0,gener_c)
& fact(name_0,real)
& sort(name_0,st)
& sort(genadendal_0,fe)
& varia(c29,varia_c)
& refer(c29,indet)
& quant(c29,one)
& gener(c29,sp)
& fact(c29,real)
& etype(c29,int0)
& card(c29,int1)
& sort(c29,na)
& varia(c28,con)
& refer(c28,det)
& quant(c28,one)
& gener(c28,sp)
& fact(c28,real)
& etype(c28,int0)
& card(c28,int1)
& sort(c28,io)
& sort(c28,d)
& gener(umbenennen_1_1,ge)
& fact(umbenennen_1_1,real)
& sort(umbenennen_1_1,da)
& gener(c33,sp)
& fact(c33,real)
& sort(c33,st)
& gener(c34,sp)
& fact(c34,real)
& sort(c34,st)
& varia(c5,con)
& refer(c5,det)
& quant(c5,one)
& gener(c5,sp)
& fact(c5,real)
& etype(c5,int0)
& card(c5,int1)
& sort(c5,d)
& gener(c26,sp)
& fact(c26,real)
& sort(c26,da)
& sort(kapstadt_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(stadt__1_1,varia_c)
& refer(stadt__1_1,refer_c)
& quant(stadt__1_1,one)
& gener(stadt__1_1,ge)
& fact(stadt__1_1,real)
& etype(stadt__1_1,int0)
& card(stadt__1_1,int1)
& sort(stadt__1_1,io)
& sort(stadt__1_1,d)
& varia(c22,varia_c)
& refer(c22,indet)
& quant(c22,one)
& gener(c22,sp)
& fact(c22,real)
& etype(c22,int0)
& card(c22,int1)
& sort(c22,na)
& varia(c21,con)
& refer(c21,det)
& quant(c21,one)
& gener(c21,sp)
& fact(c21,real)
& etype(c21,int0)
& card(c21,int1)
& sort(c21,io)
& sort(c21,d)
& 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(c32,con)
& refer(c32,det)
& quant(c32,one)
& gener(c32,sp)
& fact(c32,real)
& etype(c32,int0)
& card(c32,int1)
& sort(c32,l)
& varia(c15,con)
& refer(c15,det)
& quant(c15,one)
& gener(c15,sp)
& fact(c15,real)
& etype(c15,int0)
& card(c15,int1)
& sort(c15,d)
& varia(hauptagentur_1_1,varia_c)
& refer(hauptagentur_1_1,refer_c)
& quant(hauptagentur_1_1,one)
& gener(hauptagentur_1_1,ge)
& fact(hauptagentur_1_1,real)
& etype(hauptagentur_1_1,int0)
& card(hauptagentur_1_1,int1)
& sort(hauptagentur_1_1,io)
& sort(hauptagentur_1_1,d)
& varia(c11,con)
& refer(c11,det)
& quant(c11,one)
& gener(c11,sp)
& fact(c11,real)
& etype(c11,int0)
& card(c11,int1)
& sort(c11,io)
& sort(c11,d)
& sub(hauptagentur_1_1,b__374ro_1_1)
& assoc(hauptagentur_1_1,haupt_1_1)
& val(c7,mandela_0)
& sub(c7,familiename_1_1)
& val(c6,nelson_0)
& sub(c6,eigenname_1_1)
& sub(c5,mensch_1_1)
& attr(c5,c7)
& attr(c5,c6)
& subr(c34,name_0)
& arg1(c34,c11)
& subr(c33,name_0)
& arg2(c33,c28)
& arg1(c33,c11)
& in(c32,c21)
& val(c29,genadendal_0)
& sub(c29,name_1_1)
& sub(c28,stadt__1_1)
& attr(c28,c29)
& subs(c26,umbenennen_1_1)
& rslt(c26,c33)
& obj(c26,c11)
& init(c26,c34)
& agt(c26,c5)
& val(c22,kapstadt_0)
& sub(c22,name_1_1)
& sub(c21,stadt__1_1)
& attr(c21,c22)
& sub(c15,pr__344sident_1_1)
& prop(c15,s__374dafrikanisch_1_1)
& loc(c15,c32)
& attch(c15,c11)
& sub(c11,hauptagentur_1_1) ),
file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_716) ).
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_wp_716,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_wp_716) ).
fof(synth_qa07_010_mira_wp_716_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_wp_716]) ).
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_113,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_114,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_117,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_118,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_155,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(clausify,[status(thm)],[fact_8980]) ).
cnf(c_158,plain,
member(A,cons(A,B)),
inference(clausify,[status(thm)],[member_first]) ).
fof(nnf_44,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_44]) ).
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_233,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_234,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_235,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_45,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_45]) ).
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_236,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_237,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_240,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_241,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_261,plain,
prop(c15,s__374dafrikanisch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_716]) ).
cnf(c_282,plain,
attr(c5,c6),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_716]) ).
cnf(c_283,plain,
attr(c5,c7),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_716]) ).
cnf(c_284,plain,
sub(c5,mensch_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_716]) ).
cnf(c_285,plain,
sub(c6,eigenname_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_716]) ).
cnf(c_286,plain,
val(c6,nelson_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_716]) ).
cnf(c_287,plain,
sub(c7,familiename_1_1),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_716]) ).
cnf(c_288,plain,
val(c7,mandela_0),
inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_716]) ).
cnf(c_469,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_wp_716_neg]) ).
cnf(c_1182,plain,
( val(sK2(c15,s__374dafrikanisch_1_1,A),A)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_118,c_261]) ).
cnf(c_471,plain,
val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0),
inference(resolve,[status(thm)],[c_1182,c_155]) ).
cnf(c_1183,plain,
( sub(sK2(c15,s__374dafrikanisch_1_1,A),name_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_117,c_261]) ).
cnf(c_472,plain,
sub(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1),
inference(resolve,[status(thm)],[c_1183,c_155]) ).
cnf(c_1184,plain,
( attr(sK1(c15,s__374dafrikanisch_1_1,A),sK2(c15,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_114,c_261]) ).
cnf(c_475,plain,
attr(sK1(c15,s__374dafrikanisch_1_1,s__374dafrika_0),sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1184,c_155]) ).
cnf(c_1185,plain,
( in(sK0(c15,s__374dafrikanisch_1_1,A),sK1(c15,s__374dafrikanisch_1_1,A))
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,A) ),
inference(resolve,[status(thm)],[c_113,c_261]) ).
cnf(c_476,plain,
in(sK0(c15,s__374dafrikanisch_1_1,s__374dafrika_0),sK1(c15,s__374dafrikanisch_1_1,s__374dafrika_0)),
inference(resolve,[status(thm)],[c_1185,c_155]) ).
cnf(c_1186,plain,
( arg1(sK3(c6,A,c5),c5)
| ~ sub(c6,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_233,c_282]) ).
cnf(c_1187,plain,
( arg1(sK3(c6,eigenname_1_1,c5),c5)
| ~ sub(c6,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1186,c_158]) ).
cnf(c_681,plain,
arg1(sK3(c6,eigenname_1_1,c5),c5),
inference(resolve,[status(thm)],[c_1187,c_285]) ).
cnf(c_1188,plain,
( arg2(sK3(c6,A,c5),c5)
| ~ sub(c6,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_234,c_282]) ).
cnf(c_1189,plain,
( arg2(sK3(c6,eigenname_1_1,c5),c5)
| ~ sub(c6,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1188,c_158]) ).
cnf(c_692,plain,
arg2(sK3(c6,eigenname_1_1,c5),c5),
inference(resolve,[status(thm)],[c_1189,c_285]) ).
cnf(c_1190,plain,
( subs(sK3(c6,A,c5),hei__337en_1_1)
| ~ sub(c6,A)
| ~ member(A,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
inference(resolve,[status(thm)],[c_235,c_282]) ).
cnf(c_1191,plain,
( subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1)
| ~ sub(c6,eigenname_1_1) ),
inference(resolve,[status(thm)],[c_1190,c_158]) ).
cnf(c_693,plain,
subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1),
inference(resolve,[status(thm)],[c_1191,c_285]) ).
cnf(c_1192,plain,
( subr(sK4(sK3(c6,eigenname_1_1,c5),c5,A),rprs_0)
| ~ subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1)
| ~ arg2(sK3(c6,eigenname_1_1,c5),A) ),
inference(resolve,[status(thm)],[c_241,c_681]) ).
cnf(c_1193,plain,
( subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1192,c_692]) ).
cnf(c_931,plain,
subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0),
inference(resolve,[status(thm)],[c_1193,c_693]) ).
cnf(c_1194,plain,
( obj(sK5(sK3(c6,eigenname_1_1,c5),c5,A),c5)
| ~ subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1)
| ~ arg2(sK3(c6,eigenname_1_1,c5),A) ),
inference(resolve,[status(thm)],[c_240,c_681]) ).
cnf(c_1195,plain,
( obj(sK5(sK3(c6,eigenname_1_1,c5),c5,c5),c5)
| ~ subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1194,c_692]) ).
cnf(c_932,plain,
obj(sK5(sK3(c6,eigenname_1_1,c5),c5,c5),c5),
inference(resolve,[status(thm)],[c_1195,c_693]) ).
cnf(c_1196,plain,
( arg2(sK4(sK3(c6,eigenname_1_1,c5),c5,A),A)
| ~ subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1)
| ~ arg2(sK3(c6,eigenname_1_1,c5),A) ),
inference(resolve,[status(thm)],[c_237,c_681]) ).
cnf(c_1197,plain,
( arg2(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5)
| ~ subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1196,c_692]) ).
cnf(c_935,plain,
arg2(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5),
inference(resolve,[status(thm)],[c_1197,c_693]) ).
cnf(c_1198,plain,
( arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,A),c5)
| ~ subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1)
| ~ arg2(sK3(c6,eigenname_1_1,c5),A) ),
inference(resolve,[status(thm)],[c_236,c_681]) ).
cnf(c_1199,plain,
( arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5)
| ~ subs(sK3(c6,eigenname_1_1,c5),hei__337en_1_1) ),
inference(resolve,[status(thm)],[c_1198,c_692]) ).
cnf(c_936,plain,
arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5),
inference(resolve,[status(thm)],[c_1199,c_693]) ).
cnf(c_1200,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(c15,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_469,c_476]) ).
cnf(c_1201,negated_conjecture,
( ~ val(D,s__374dafrika_0)
| ~ val(C,nelson_0)
| ~ val(B,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ sub(D,name_1_1)
| ~ sub(c5,F)
| ~ sub(C,eigenname_1_1)
| ~ sub(B,familiename_1_1)
| ~ obj(E,A)
| ~ attr(sK1(c15,s__374dafrikanisch_1_1,s__374dafrika_0),D)
| ~ attr(A,C)
| ~ attr(A,B)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),A) ),
inference(resolve,[status(thm)],[c_1200,c_935]) ).
cnf(c_1202,negated_conjecture,
( ~ val(B,s__374dafrika_0)
| ~ val(A,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ sub(B,name_1_1)
| ~ sub(c5,D)
| ~ sub(A,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ obj(C,c5)
| ~ attr(sK1(c15,s__374dafrikanisch_1_1,s__374dafrika_0),B)
| ~ attr(c5,A)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1201,c_283]) ).
cnf(c_1203,negated_conjecture,
( ~ val(A,s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ sub(A,name_1_1)
| ~ sub(c5,C)
| ~ sub(c6,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ obj(B,c5)
| ~ attr(sK1(c15,s__374dafrikanisch_1_1,s__374dafrika_0),A)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1202,c_282]) ).
cnf(c_1204,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ sub(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c5,B)
| ~ sub(c6,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ obj(A,c5)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1203,c_475]) ).
cnf(c_1205,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ sub(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c5,A)
| ~ sub(c6,eigenname_1_1)
| ~ sub(c7,familiename_1_1)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1204,c_932]) ).
cnf(c_1206,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ sub(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c5,A)
| ~ sub(c6,eigenname_1_1)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1205,c_287]) ).
cnf(c_1207,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ sub(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ sub(c5,A)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1206,c_285]) ).
cnf(c_1208,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ sub(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),name_1_1)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1207,c_284]) ).
cnf(c_1209,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ subr(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),rprs_0)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1208,c_472]) ).
cnf(c_1210,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ val(c7,mandela_0)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1209,c_931]) ).
cnf(c_1211,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ val(c6,nelson_0)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1210,c_288]) ).
cnf(c_1212,negated_conjecture,
( ~ val(sK2(c15,s__374dafrikanisch_1_1,s__374dafrika_0),s__374dafrika_0)
| ~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5) ),
inference(resolve,[status(thm)],[c_1211,c_286]) ).
cnf(c_1213,negated_conjecture,
~ arg1(sK4(sK3(c6,eigenname_1_1,c5),c5,c5),c5),
inference(resolve,[status(thm)],[c_1212,c_471]) ).
cnf(c_1181,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_936,c_1213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+36 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n020.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Sun Sep 27 01:16:04 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.54 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.54 % Process 2941899 was started by sandbox on n020,
% 0.10/0.54 % Sun Sep 27 01:16:04 2026
% 0.10/0.54 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/1.05
% 0.14/1.05 % SInE (scan): 80 to sos (tol 1.5x), 30 to usable (tol 2.0x), 10078 zapped, of 10188 axioms (depth 3).
% 0.14/1.05
% 0.14/1.05 % From the command line: assign(max_seconds, 300).
% 0.14/1.05
% 0.14/1.05 % given #500 (A,wt=5): 657 has_refer_leq(c5,det). [ur(170,a,378,a)].
% 0.14/1.05
% 0.14/1.05 % SZS status Theorem for theBenchmark
% 0.14/1.05
% 0.14/1.05 % Proof 1 at 0.23 (+ 0.06) seconds.
% 0.14/1.05 % Length of proof is 40.
% 0.14/1.05 % Level of proof is 4.
% 0.14/1.05 % Maximum clause weight is 109.000.
% 0.14/1.05 % Given clauses 858.
% 0.14/1.05
% 0.14/1.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------