TSTP Solution File: CSR116+24 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR116+24 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 14:32:02 EDT 2022
% Result : Theorem 1.55s 1.42s
% Output : Proof 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 127
% Number of leaves : 136
% Syntax : Number of formulae : 336 ( 43 unt; 82 typ; 0 def)
% Number of atoms : 11140 ( 0 equ)
% Maximal formula atoms : 133 ( 43 avg)
% Number of connectives : 12037 (1276 ~;1061 |;9582 &)
% ( 100 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 133 ( 40 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 125 ( 125 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 73 ( 35 >; 38 *; 0 +; 0 <<)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-3 aty)
% Number of functors : 55 ( 55 usr; 47 con; 0-3 aty)
% Number of variables : 592 ( 306 !; 225 ?; 592 :)
% Comments :
%------------------------------------------------------------------------------
tff(subr_type,type,
subr: ( $i * $i ) > $o ).
tff(rprs_0_type,type,
rprs_0: $i ).
tff(tptp_fun_X4_52_type,type,
tptp_fun_X4_52: ( $i * $i * $i ) > $i ).
tff(tptp_fun_X2_54_type,type,
tptp_fun_X2_54: ( $i * $i ) > $i ).
tff(c316_type,type,
c316: $i ).
tff(pr__344sident_1_1_type,type,
pr__344sident_1_1: $i ).
tff(subs_type,type,
subs: ( $i * $i ) > $o ).
tff(bezeichnen_1_1_type,type,
bezeichnen_1_1: $i ).
tff(tptp_fun_X3_53_type,type,
tptp_fun_X3_53: ( $i * $i * $i ) > $i ).
tff(sub_type,type,
sub: ( $i * $i ) > $o ).
tff(tptp_fun_X5_51_type,type,
tptp_fun_X5_51: ( $i * $i * $i ) > $i ).
tff(obj_type,type,
obj: ( $i * $i ) > $o ).
tff(mcont_type,type,
mcont: ( $i * $i ) > $o ).
tff(hsit_type,type,
hsit: ( $i * $i ) > $o ).
tff(arg2_type,type,
arg2: ( $i * $i ) > $o ).
tff(arg1_type,type,
arg1: ( $i * $i ) > $o ).
tff(sub_0_type,type,
sub_0: $i ).
tff(prop_type,type,
prop: ( $i * $i ) > $o ).
tff(s__374dafrikanisch_1_1_type,type,
s__374dafrikanisch_1_1: $i ).
tff(attr_type,type,
attr: ( $i * $i ) > $o ).
tff(c318_type,type,
c318: $i ).
tff(c317_type,type,
c317: $i ).
tff(attch_type,type,
attch: ( $i * $i ) > $o ).
tff(c307_type,type,
c307: $i ).
tff(pred_type,type,
pred: ( $i * $i ) > $o ).
tff(autobiographie_1_1_type,type,
autobiographie_1_1: $i ).
tff(c19_type,type,
c19: $i ).
tff(c15_type,type,
c15: $i ).
tff(hirte_1_1_type,type,
hirte_1_1: $i ).
tff(an_f__374hrer_1_1_type,type,
an_f__374hrer_1_1: $i ).
tff(origl_type,type,
origl: ( $i * $i ) > $o ).
tff(c323_type,type,
c323: $i ).
tff(eigenname_1_1_type,type,
eigenname_1_1: $i ).
tff(val_type,type,
val: ( $i * $i ) > $o ).
tff(nelson_0_type,type,
nelson_0: $i ).
tff(familiename_1_1_type,type,
familiename_1_1: $i ).
tff(mandela_0_type,type,
mandela_0: $i ).
tff(flp_type,type,
flp: ( $i * $i ) > $o ).
tff(agt_type,type,
agt: ( $i * $i ) > $o ).
tff(c324_type,type,
c324: $i ).
tff(f__374hren_1_1_type,type,
f__374hren_1_1: $i ).
tff(sort_type,type,
sort: ( $i * $i ) > $o ).
tff(d_type,type,
d: $i ).
tff(card_type,type,
card: ( $i * $i ) > $o ).
tff(int1_type,type,
int1: $i ).
tff(etype_type,type,
etype: ( $i * $i ) > $o ).
tff(int0_type,type,
int0: $i ).
tff(fact_type,type,
fact: ( $i * $i ) > $o ).
tff(real_type,type,
real: $i ).
tff(gener_type,type,
gener: ( $i * $i ) > $o ).
tff(sp_type,type,
sp: $i ).
tff(quant_type,type,
quant: ( $i * $i ) > $o ).
tff(one_type,type,
one: $i ).
tff(refer_type,type,
refer: ( $i * $i ) > $o ).
tff(indet_type,type,
indet: $i ).
tff(varia_type,type,
varia: ( $i * $i ) > $o ).
tff(varia_c_type,type,
varia_c: $i ).
tff(l_type,type,
l: $i ).
tff(cons_type,type,
cons: ( $i * $i ) > $i ).
tff(nil_type,type,
nil: $i ).
tff(x_constant_type,type,
x_constant: $i ).
tff(mult_type,type,
mult: $i ).
tff(det_type,type,
det: $i ).
tff(con_type,type,
con: $i ).
tff(ge_type,type,
ge: $i ).
tff(refer_c_type,type,
refer_c: $i ).
tff(st_type,type,
st: $i ).
tff(gener_c_type,type,
gener_c: $i ).
tff(io_type,type,
io: $i ).
tff(na_type,type,
na: $i ).
tff(nq_type,type,
nq: $i ).
tff(fe_type,type,
fe: $i ).
tff(da_type,type,
da: $i ).
tff(s__374dafrika_0_type,type,
s__374dafrika_0: $i ).
tff(tptp_fun_X4_45_type,type,
tptp_fun_X4_45: ( $i * $i ) > $i ).
tff(land_1_1_type,type,
land_1_1: $i ).
tff(tptp_fun_X3_46_type,type,
tptp_fun_X3_46: ( $i * $i ) > $i ).
tff(name_1_1_type,type,
name_1_1: $i ).
tff(loc_type,type,
loc: ( $i * $i ) > $o ).
tff(tptp_fun_X5_44_type,type,
tptp_fun_X5_44: ( $i * $i ) > $i ).
tff(in_type,type,
in: ( $i * $i ) > $o ).
tff(state_adjective_state_binding_type,type,
state_adjective_state_binding: ( $i * $i ) > $o ).
tff(1,plain,
( sub(c316,pr__344sident_1_1)
<=> sub(c316,pr__344sident_1_1) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe)
& sort(c324,da)
& fact(c324,real)
& gener(c324,sp)
& sort(f__374hren_1_1,da)
& fact(f__374hren_1_1,real)
& gener(f__374hren_1_1,ge) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1788) ).
tff(3,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe)
& sort(c324,da)
& fact(c324,real)
& gener(c324,sp)
& sort(f__374hren_1_1,da)
& fact(f__374hren_1_1,real) ),
inference(and_elim,[status(thm)],[2]) ).
tff(4,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe)
& sort(c324,da)
& fact(c324,real)
& gener(c324,sp)
& sort(f__374hren_1_1,da) ),
inference(and_elim,[status(thm)],[3]) ).
tff(5,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe)
& sort(c324,da)
& fact(c324,real)
& gener(c324,sp) ),
inference(and_elim,[status(thm)],[4]) ).
tff(6,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe)
& sort(c324,da)
& fact(c324,real) ),
inference(and_elim,[status(thm)],[5]) ).
tff(7,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe)
& sort(c324,da) ),
inference(and_elim,[status(thm)],[6]) ).
tff(8,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c)
& sort(mandela_0,fe) ),
inference(and_elim,[status(thm)],[7]) ).
tff(9,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c)
& varia(familiename_1_1,varia_c) ),
inference(and_elim,[status(thm)],[8]) ).
tff(10,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one)
& refer(familiename_1_1,refer_c) ),
inference(and_elim,[status(thm)],[9]) ).
tff(11,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge)
& quant(familiename_1_1,one) ),
inference(and_elim,[status(thm)],[10]) ).
tff(12,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real)
& gener(familiename_1_1,ge) ),
inference(and_elim,[status(thm)],[11]) ).
tff(13,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0)
& fact(familiename_1_1,real) ),
inference(and_elim,[status(thm)],[12]) ).
tff(14,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1)
& etype(familiename_1_1,int0) ),
inference(and_elim,[status(thm)],[13]) ).
tff(15,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na)
& card(familiename_1_1,int1) ),
inference(and_elim,[status(thm)],[14]) ).
tff(16,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe)
& sort(familiename_1_1,na) ),
inference(and_elim,[status(thm)],[15]) ).
tff(17,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c)
& sort(nelson_0,fe) ),
inference(and_elim,[status(thm)],[16]) ).
tff(18,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c)
& varia(eigenname_1_1,varia_c) ),
inference(and_elim,[status(thm)],[17]) ).
tff(19,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one)
& refer(eigenname_1_1,refer_c) ),
inference(and_elim,[status(thm)],[18]) ).
tff(20,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge)
& quant(eigenname_1_1,one) ),
inference(and_elim,[status(thm)],[19]) ).
tff(21,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real)
& gener(eigenname_1_1,ge) ),
inference(and_elim,[status(thm)],[20]) ).
tff(22,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0)
& fact(eigenname_1_1,real) ),
inference(and_elim,[status(thm)],[21]) ).
tff(23,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1)
& etype(eigenname_1_1,int0) ),
inference(and_elim,[status(thm)],[22]) ).
tff(24,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na)
& card(eigenname_1_1,int1) ),
inference(and_elim,[status(thm)],[23]) ).
tff(25,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c)
& sort(eigenname_1_1,na) ),
inference(and_elim,[status(thm)],[24]) ).
tff(26,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c)
& varia(pr__344sident_1_1,varia_c) ),
inference(and_elim,[status(thm)],[25]) ).
tff(27,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one)
& refer(pr__344sident_1_1,refer_c) ),
inference(and_elim,[status(thm)],[26]) ).
tff(28,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge)
& quant(pr__344sident_1_1,one) ),
inference(and_elim,[status(thm)],[27]) ).
tff(29,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real)
& gener(pr__344sident_1_1,ge) ),
inference(and_elim,[status(thm)],[28]) ).
tff(30,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0)
& fact(pr__344sident_1_1,real) ),
inference(and_elim,[status(thm)],[29]) ).
tff(31,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1)
& etype(pr__344sident_1_1,int0) ),
inference(and_elim,[status(thm)],[30]) ).
tff(32,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d)
& card(pr__344sident_1_1,int1) ),
inference(and_elim,[status(thm)],[31]) ).
tff(33,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq)
& sort(pr__344sident_1_1,d) ),
inference(and_elim,[status(thm)],[32]) ).
tff(34,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c)
& sort(s__374dafrikanisch_1_1,nq) ),
inference(and_elim,[status(thm)],[33]) ).
tff(35,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet)
& varia(c318,varia_c) ),
inference(and_elim,[status(thm)],[34]) ).
tff(36,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one)
& refer(c318,indet) ),
inference(and_elim,[status(thm)],[35]) ).
tff(37,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp)
& quant(c318,one) ),
inference(and_elim,[status(thm)],[36]) ).
tff(38,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real)
& gener(c318,sp) ),
inference(and_elim,[status(thm)],[37]) ).
tff(39,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0)
& fact(c318,real) ),
inference(and_elim,[status(thm)],[38]) ).
tff(40,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1)
& etype(c318,int0) ),
inference(and_elim,[status(thm)],[39]) ).
tff(41,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na)
& card(c318,int1) ),
inference(and_elim,[status(thm)],[40]) ).
tff(42,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c)
& sort(c318,na) ),
inference(and_elim,[status(thm)],[41]) ).
tff(43,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet)
& varia(c317,varia_c) ),
inference(and_elim,[status(thm)],[42]) ).
tff(44,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one)
& refer(c317,indet) ),
inference(and_elim,[status(thm)],[43]) ).
tff(45,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp)
& quant(c317,one) ),
inference(and_elim,[status(thm)],[44]) ).
tff(46,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real)
& gener(c317,sp) ),
inference(and_elim,[status(thm)],[45]) ).
tff(47,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0)
& fact(c317,real) ),
inference(and_elim,[status(thm)],[46]) ).
tff(48,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1)
& etype(c317,int0) ),
inference(and_elim,[status(thm)],[47]) ).
tff(49,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na)
& card(c317,int1) ),
inference(and_elim,[status(thm)],[48]) ).
tff(50,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con)
& sort(c317,na) ),
inference(and_elim,[status(thm)],[49]) ).
tff(51,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det)
& varia(c316,con) ),
inference(and_elim,[status(thm)],[50]) ).
tff(52,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one)
& refer(c316,det) ),
inference(and_elim,[status(thm)],[51]) ).
tff(53,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp)
& quant(c316,one) ),
inference(and_elim,[status(thm)],[52]) ).
tff(54,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real)
& gener(c316,sp) ),
inference(and_elim,[status(thm)],[53]) ).
tff(55,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0)
& fact(c316,real) ),
inference(and_elim,[status(thm)],[54]) ).
tff(56,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1)
& etype(c316,int0) ),
inference(and_elim,[status(thm)],[55]) ).
tff(57,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d)
& card(c316,int1) ),
inference(and_elim,[status(thm)],[56]) ).
tff(58,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c)
& sort(c316,d) ),
inference(and_elim,[status(thm)],[57]) ).
tff(59,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c)
& varia(autobiographie_1_1,varia_c) ),
inference(and_elim,[status(thm)],[58]) ).
tff(60,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one)
& refer(autobiographie_1_1,refer_c) ),
inference(and_elim,[status(thm)],[59]) ).
tff(61,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge)
& quant(autobiographie_1_1,one) ),
inference(and_elim,[status(thm)],[60]) ).
tff(62,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real)
& gener(autobiographie_1_1,ge) ),
inference(and_elim,[status(thm)],[61]) ).
tff(63,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0)
& fact(autobiographie_1_1,real) ),
inference(and_elim,[status(thm)],[62]) ).
tff(64,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1)
& etype(autobiographie_1_1,int0) ),
inference(and_elim,[status(thm)],[63]) ).
tff(65,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io)
& card(autobiographie_1_1,int1) ),
inference(and_elim,[status(thm)],[64]) ).
tff(66,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d)
& sort(autobiographie_1_1,io) ),
inference(and_elim,[status(thm)],[65]) ).
tff(67,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con)
& sort(autobiographie_1_1,d) ),
inference(and_elim,[status(thm)],[66]) ).
tff(68,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det)
& varia(c307,con) ),
inference(and_elim,[status(thm)],[67]) ).
tff(69,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult)
& refer(c307,det) ),
inference(and_elim,[status(thm)],[68]) ).
tff(70,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp)
& quant(c307,mult) ),
inference(and_elim,[status(thm)],[69]) ).
tff(71,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real)
& gener(c307,sp) ),
inference(and_elim,[status(thm)],[70]) ).
tff(72,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1)
& fact(c307,real) ),
inference(and_elim,[status(thm)],[71]) ).
tff(73,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil)))
& etype(c307,int1) ),
inference(and_elim,[status(thm)],[72]) ).
tff(74,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io)
& card(c307,cons(x_constant,cons(int1,nil))) ),
inference(and_elim,[status(thm)],[73]) ).
tff(75,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d)
& sort(c307,io) ),
inference(and_elim,[status(thm)],[74]) ).
tff(76,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c)
& sort(c307,d) ),
inference(and_elim,[status(thm)],[75]) ).
tff(77,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real)
& gener(sub_0,gener_c) ),
inference(and_elim,[status(thm)],[76]) ).
tff(78,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st)
& fact(sub_0,real) ),
inference(and_elim,[status(thm)],[77]) ).
tff(79,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp)
& sort(sub_0,st) ),
inference(and_elim,[status(thm)],[78]) ).
tff(80,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real)
& gener(c19,sp) ),
inference(and_elim,[status(thm)],[79]) ).
tff(81,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st)
& fact(c19,real) ),
inference(and_elim,[status(thm)],[80]) ).
tff(82,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c)
& sort(c19,st) ),
inference(and_elim,[status(thm)],[81]) ).
tff(83,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c)
& varia(hirte_1_1,varia_c) ),
inference(and_elim,[status(thm)],[82]) ).
tff(84,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one)
& refer(hirte_1_1,refer_c) ),
inference(and_elim,[status(thm)],[83]) ).
tff(85,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge)
& quant(hirte_1_1,one) ),
inference(and_elim,[status(thm)],[84]) ).
tff(86,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real)
& gener(hirte_1_1,ge) ),
inference(and_elim,[status(thm)],[85]) ).
tff(87,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0)
& fact(hirte_1_1,real) ),
inference(and_elim,[status(thm)],[86]) ).
tff(88,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1)
& etype(hirte_1_1,int0) ),
inference(and_elim,[status(thm)],[87]) ).
tff(89,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d)
& card(hirte_1_1,int1) ),
inference(and_elim,[status(thm)],[88]) ).
tff(90,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c)
& sort(hirte_1_1,d) ),
inference(and_elim,[status(thm)],[89]) ).
tff(91,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c)
& varia(an_f__374hrer_1_1,varia_c) ),
inference(and_elim,[status(thm)],[90]) ).
tff(92,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one)
& refer(an_f__374hrer_1_1,refer_c) ),
inference(and_elim,[status(thm)],[91]) ).
tff(93,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge)
& quant(an_f__374hrer_1_1,one) ),
inference(and_elim,[status(thm)],[92]) ).
tff(94,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real)
& gener(an_f__374hrer_1_1,ge) ),
inference(and_elim,[status(thm)],[93]) ).
tff(95,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0)
& fact(an_f__374hrer_1_1,real) ),
inference(and_elim,[status(thm)],[94]) ).
tff(96,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1)
& etype(an_f__374hrer_1_1,int0) ),
inference(and_elim,[status(thm)],[95]) ).
tff(97,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d)
& card(an_f__374hrer_1_1,int1) ),
inference(and_elim,[status(thm)],[96]) ).
tff(98,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con)
& sort(an_f__374hrer_1_1,d) ),
inference(and_elim,[status(thm)],[97]) ).
tff(99,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det)
& varia(c323,con) ),
inference(and_elim,[status(thm)],[98]) ).
tff(100,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult)
& refer(c323,det) ),
inference(and_elim,[status(thm)],[99]) ).
tff(101,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp)
& quant(c323,mult) ),
inference(and_elim,[status(thm)],[100]) ).
tff(102,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real)
& gener(c323,sp) ),
inference(and_elim,[status(thm)],[101]) ).
tff(103,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1)
& fact(c323,real) ),
inference(and_elim,[status(thm)],[102]) ).
tff(104,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil)))
& etype(c323,int1) ),
inference(and_elim,[status(thm)],[103]) ).
tff(105,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l)
& card(c323,cons(x_constant,cons(int1,nil))) ),
inference(and_elim,[status(thm)],[104]) ).
tff(106,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c)
& sort(c323,l) ),
inference(and_elim,[status(thm)],[105]) ).
tff(107,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet)
& varia(c15,varia_c) ),
inference(and_elim,[status(thm)],[106]) ).
tff(108,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one)
& refer(c15,indet) ),
inference(and_elim,[status(thm)],[107]) ).
tff(109,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp)
& quant(c15,one) ),
inference(and_elim,[status(thm)],[108]) ).
tff(110,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real)
& gener(c15,sp) ),
inference(and_elim,[status(thm)],[109]) ).
tff(111,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0)
& fact(c15,real) ),
inference(and_elim,[status(thm)],[110]) ).
tff(112,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1)
& etype(c15,int0) ),
inference(and_elim,[status(thm)],[111]) ).
tff(113,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d)
& card(c15,int1) ),
inference(and_elim,[status(thm)],[112]) ).
tff(114,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1)
& sort(c15,d) ),
inference(and_elim,[status(thm)],[113]) ).
tff(115,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15)
& subs(c324,f__374hren_1_1) ),
inference(and_elim,[status(thm)],[114]) ).
tff(116,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307)
& agt(c324,c15) ),
inference(and_elim,[status(thm)],[115]) ).
tff(117,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0)
& flp(c323,c307) ),
inference(and_elim,[status(thm)],[116]) ).
tff(118,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1)
& val(c318,mandela_0) ),
inference(and_elim,[status(thm)],[117]) ).
tff(119,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0)
& sub(c318,familiename_1_1) ),
inference(and_elim,[status(thm)],[118]) ).
tff(120,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1)
& val(c317,nelson_0) ),
inference(and_elim,[status(thm)],[119]) ).
tff(121,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1)
& sub(c317,eigenname_1_1) ),
inference(and_elim,[status(thm)],[120]) ).
tff(122,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1)
& sub(c316,pr__344sident_1_1) ),
inference(and_elim,[status(thm)],[121]) ).
tff(123,plain,
sub(c316,pr__344sident_1_1),
inference(and_elim,[status(thm)],[122]) ).
tff(124,plain,
sub(c316,pr__344sident_1_1),
inference(modus_ponens,[status(thm)],[123,1]) ).
tff(125,plain,
^ [X0: $i,X1: $i] :
refl(
( ( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) )
<=> ( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) ) )),
inference(bind,[status(th)],]) ).
tff(126,plain,
( ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) )
<=> ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) ) ),
inference(quant_intro,[status(thm)],[125]) ).
tff(127,plain,
^ [X0: $i,X1: $i] :
rewrite(
( ( ~ sub(X0,X1)
| ( arg1(tptp_fun_X2_54(X1,X0),X0)
& arg2(tptp_fun_X2_54(X1,X0),X1)
& subr(tptp_fun_X2_54(X1,X0),sub_0) ) )
<=> ( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) ) )),
inference(bind,[status(th)],]) ).
tff(128,plain,
( ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ( arg1(tptp_fun_X2_54(X1,X0),X0)
& arg2(tptp_fun_X2_54(X1,X0),X1)
& subr(tptp_fun_X2_54(X1,X0),sub_0) ) )
<=> ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) ) ),
inference(quant_intro,[status(thm)],[127]) ).
tff(129,plain,
( ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) )
<=> ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(130,plain,
^ [X0: $i,X1: $i] :
trans(
monotonicity(
quant_intro(
proof_bind(
^ [X2: $i] :
rewrite(
( ( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) )
<=> ( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ))),
( ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) )
<=> ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) )),
( ( sub(X0,X1)
=> ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) )
<=> ( sub(X0,X1)
=> ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ) )),
rewrite(
( ( sub(X0,X1)
=> ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) )
<=> ( ~ sub(X0,X1)
| ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ) )),
( ( sub(X0,X1)
=> ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) )
<=> ( ~ sub(X0,X1)
| ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ) )),
inference(bind,[status(th)],]) ).
tff(131,plain,
( ! [X0: $i,X1: $i] :
( sub(X0,X1)
=> ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) )
<=> ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ) ),
inference(quant_intro,[status(thm)],[130]) ).
tff(132,axiom,
! [X0: $i,X1: $i] :
( sub(X0,X1)
=> ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',sub__sub_0_expansion) ).
tff(133,plain,
! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ),
inference(modus_ponens,[status(thm)],[132,131]) ).
tff(134,plain,
! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ? [X2: $i] :
( arg1(X2,X0)
& arg2(X2,X1)
& subr(X2,sub_0) ) ),
inference(modus_ponens,[status(thm)],[133,129]) ).
tff(135,plain,
! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ( arg1(tptp_fun_X2_54(X1,X0),X0)
& arg2(tptp_fun_X2_54(X1,X0),X1)
& subr(tptp_fun_X2_54(X1,X0),sub_0) ) ),
inference(skolemize,[status(sab)],[134]) ).
tff(136,plain,
! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) ),
inference(modus_ponens,[status(thm)],[135,128]) ).
tff(137,plain,
! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) ),
inference(modus_ponens,[status(thm)],[136,126]) ).
tff(138,plain,
( ( ~ ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) )
| ~ sub(c316,pr__344sident_1_1)
| ~ ( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0) ) )
<=> ( ~ ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) )
| ~ sub(c316,pr__344sident_1_1)
| ~ ( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(139,plain,
( ~ ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) )
| ~ sub(c316,pr__344sident_1_1)
| ~ ( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(140,plain,
( ~ ! [X0: $i,X1: $i] :
( ~ sub(X0,X1)
| ~ ( ~ arg1(tptp_fun_X2_54(X1,X0),X0)
| ~ arg2(tptp_fun_X2_54(X1,X0),X1)
| ~ subr(tptp_fun_X2_54(X1,X0),sub_0) ) )
| ~ sub(c316,pr__344sident_1_1)
| ~ ( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0) ) ),
inference(modus_ponens,[status(thm)],[139,138]) ).
tff(141,plain,
~ ( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0) ),
inference(unit_resolution,[status(thm)],[140,137,124]) ).
tff(142,plain,
( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0) ),
inference(tautology,[status(thm)],]) ).
tff(143,plain,
subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0),
inference(unit_resolution,[status(thm)],[142,141]) ).
tff(144,plain,
( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1) ),
inference(tautology,[status(thm)],]) ).
tff(145,plain,
arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1),
inference(unit_resolution,[status(thm)],[144,141]) ).
tff(146,plain,
( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316) ),
inference(tautology,[status(thm)],]) ).
tff(147,plain,
arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316),
inference(unit_resolution,[status(thm)],[146,141]) ).
tff(148,plain,
^ [X0: $i,X1: $i,X2: $i] :
refl(
( ( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
<=> ( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ) )),
inference(bind,[status(th)],]) ).
tff(149,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ) ),
inference(quant_intro,[status(thm)],[148]) ).
tff(150,plain,
^ [X0: $i,X1: $i,X2: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
<=> ~ ( ~ arg1(X0,X1)
| ~ arg2(X0,X2)
| ~ subr(X0,sub_0) ) )),
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
<=> ~ ~ ( ~ arg1(X0,X1)
| ~ arg2(X0,X2)
| ~ subr(X0,sub_0) ) )),
rewrite(
( ~ ~ ( ~ arg1(X0,X1)
| ~ arg2(X0,X2)
| ~ subr(X0,sub_0) )
<=> ( ~ arg1(X0,X1)
| ~ arg2(X0,X2)
| ~ subr(X0,sub_0) ) )),
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
<=> ( ~ arg1(X0,X1)
| ~ arg2(X0,X2)
| ~ subr(X0,sub_0) ) )),
rewrite(
( ( arg1(tptp_fun_X4_52(X2,X1,X0),X1)
& arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
& hsit(X0,tptp_fun_X3_53(X2,X1,X0))
& mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
& obj(tptp_fun_X3_53(X2,X1,X0),X1)
& sub(tptp_fun_X5_51(X2,X1,X0),X2)
& subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
& subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) )
<=> ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )),
( ( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ( arg1(tptp_fun_X4_52(X2,X1,X0),X1)
& arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
& hsit(X0,tptp_fun_X3_53(X2,X1,X0))
& mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
& obj(tptp_fun_X3_53(X2,X1,X0),X1)
& sub(tptp_fun_X5_51(X2,X1,X0),X2)
& subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
& subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
<=> ( ~ arg1(X0,X1)
| ~ arg2(X0,X2)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ) )),
rewrite(
( ( ~ arg1(X0,X1)
| ~ arg2(X0,X2)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
<=> ( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ) )),
( ( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ( arg1(tptp_fun_X4_52(X2,X1,X0),X1)
& arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
& hsit(X0,tptp_fun_X3_53(X2,X1,X0))
& mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
& obj(tptp_fun_X3_53(X2,X1,X0),X1)
& sub(tptp_fun_X5_51(X2,X1,X0),X2)
& subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
& subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
<=> ( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ) )),
inference(bind,[status(th)],]) ).
tff(151,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ( arg1(tptp_fun_X4_52(X2,X1,X0),X1)
& arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
& hsit(X0,tptp_fun_X3_53(X2,X1,X0))
& mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
& obj(tptp_fun_X3_53(X2,X1,X0),X1)
& sub(tptp_fun_X5_51(X2,X1,X0),X2)
& subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
& subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ) ),
inference(quant_intro,[status(thm)],[150]) ).
tff(152,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(153,plain,
^ [X0: $i,X1: $i,X2: $i] :
trans(
monotonicity(
rewrite(
( ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
<=> ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) ) )),
quant_intro(
proof_bind(
^ [X3: $i,X4: $i,X5: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4) ) )),
rewrite(
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1) ) )),
rewrite(
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2) ) )),
rewrite(
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0) ) )),
rewrite(
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) )),
rewrite(
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) )),
( ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) )
<=> ( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ))),
( ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) )
<=> ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) )),
( ( ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
=> ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) )
<=> ( ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
=> ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ) )),
rewrite(
( ( ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
=> ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) )
<=> ( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ) )),
( ( ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
=> ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) )
<=> ( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ) )),
inference(bind,[status(th)],]) ).
tff(154,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
=> ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ) ),
inference(quant_intro,[status(thm)],[153]) ).
tff(155,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
=> ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',sub__bezeichnen_1_1_als) ).
tff(156,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ),
inference(modus_ponens,[status(thm)],[155,154]) ).
tff(157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ? [X3: $i,X4: $i,X5: $i] :
( arg1(X4,X1)
& arg2(X4,X5)
& hsit(X0,X3)
& mcont(X3,X4)
& obj(X3,X1)
& sub(X5,X2)
& subr(X4,rprs_0)
& subs(X3,bezeichnen_1_1) ) ),
inference(modus_ponens,[status(thm)],[156,152]) ).
tff(158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( arg1(X0,X1)
& arg2(X0,X2)
& subr(X0,sub_0) )
| ( arg1(tptp_fun_X4_52(X2,X1,X0),X1)
& arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
& hsit(X0,tptp_fun_X3_53(X2,X1,X0))
& mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
& obj(tptp_fun_X3_53(X2,X1,X0),X1)
& sub(tptp_fun_X5_51(X2,X1,X0),X2)
& subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
& subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ),
inference(skolemize,[status(sab)],[157]) ).
tff(159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ),
inference(modus_ponens,[status(thm)],[158,151]) ).
tff(160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) ),
inference(modus_ponens,[status(thm)],[159,149]) ).
tff(161,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(162,plain,
( ( ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) )
<=> ( ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(163,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) ) ),
inference(monotonicity,[status(thm)],[162]) ).
tff(164,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) ) ),
inference(transitivity,[status(thm)],[163,161]) ).
tff(165,plain,
( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(166,plain,
( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ arg2(X0,X2)
| ~ arg1(X0,X1)
| ~ subr(X0,sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(X2,X1,X0),X1)
| ~ arg2(tptp_fun_X4_52(X2,X1,X0),tptp_fun_X5_51(X2,X1,X0))
| ~ hsit(X0,tptp_fun_X3_53(X2,X1,X0))
| ~ mcont(tptp_fun_X3_53(X2,X1,X0),tptp_fun_X4_52(X2,X1,X0))
| ~ obj(tptp_fun_X3_53(X2,X1,X0),X1)
| ~ sub(tptp_fun_X5_51(X2,X1,X0),X2)
| ~ subr(tptp_fun_X4_52(X2,X1,X0),rprs_0)
| ~ subs(tptp_fun_X3_53(X2,X1,X0),bezeichnen_1_1) ) )
| ~ arg1(tptp_fun_X2_54(pr__344sident_1_1,c316),c316)
| ~ arg2(tptp_fun_X2_54(pr__344sident_1_1,c316),pr__344sident_1_1)
| ~ subr(tptp_fun_X2_54(pr__344sident_1_1,c316),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ) ),
inference(modus_ponens,[status(thm)],[165,164]) ).
tff(167,plain,
~ ( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1) ),
inference(unit_resolution,[status(thm)],[166,160,147,145,143]) ).
tff(168,plain,
( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1)
| subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0) ),
inference(tautology,[status(thm)],]) ).
tff(169,plain,
subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0),
inference(unit_resolution,[status(thm)],[168,167]) ).
tff(170,plain,
( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1)
| sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1) ),
inference(tautology,[status(thm)],]) ).
tff(171,plain,
sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1),
inference(unit_resolution,[status(thm)],[170,167]) ).
tff(172,plain,
( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1)
| obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316) ),
inference(tautology,[status(thm)],]) ).
tff(173,plain,
obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316),
inference(unit_resolution,[status(thm)],[172,167]) ).
tff(174,plain,
( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1)
| arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316))) ),
inference(tautology,[status(thm)],]) ).
tff(175,plain,
arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316))),
inference(unit_resolution,[status(thm)],[174,167]) ).
tff(176,plain,
( ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ hsit(tptp_fun_X2_54(pr__344sident_1_1,c316),tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ mcont(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ subs(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),bezeichnen_1_1)
| arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316) ),
inference(tautology,[status(thm)],]) ).
tff(177,plain,
arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316),
inference(unit_resolution,[status(thm)],[176,167]) ).
tff(178,plain,
( prop(c316,s__374dafrikanisch_1_1)
<=> prop(c316,s__374dafrikanisch_1_1) ),
inference(rewrite,[status(thm)],]) ).
tff(179,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318)
& prop(c316,s__374dafrikanisch_1_1) ),
inference(and_elim,[status(thm)],[122]) ).
tff(180,plain,
prop(c316,s__374dafrikanisch_1_1),
inference(and_elim,[status(thm)],[179]) ).
tff(181,plain,
prop(c316,s__374dafrikanisch_1_1),
inference(modus_ponens,[status(thm)],[180,178]) ).
tff(182,plain,
( state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0)
<=> state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0) ),
inference(rewrite,[status(thm)],]) ).
tff(183,axiom,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',fact_8980) ).
tff(184,plain,
state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0),
inference(modus_ponens,[status(thm)],[183,182]) ).
tff(185,plain,
^ [X0: $i,X1: $i,X2: $i] :
refl(
( ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) )
<=> ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) ) )),
inference(bind,[status(th)],]) ).
tff(186,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) ) ),
inference(quant_intro,[status(thm)],[185]) ).
tff(187,plain,
^ [X0: $i,X1: $i,X2: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
<=> ~ ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2) ) )),
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
<=> ~ ~ ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2) ) )),
rewrite(
( ~ ~ ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2) )
<=> ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2) ) )),
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
<=> ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2) ) )),
rewrite(
( ( in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
& attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
& loc(X0,tptp_fun_X5_44(X2,X0))
& sub(tptp_fun_X3_46(X2,X0),land_1_1)
& sub(tptp_fun_X4_45(X2,X0),name_1_1)
& val(tptp_fun_X4_45(X2,X0),X2) )
<=> ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) )),
( ( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ( in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
& attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
& loc(X0,tptp_fun_X5_44(X2,X0))
& sub(tptp_fun_X3_46(X2,X0),land_1_1)
& sub(tptp_fun_X4_45(X2,X0),name_1_1)
& val(tptp_fun_X4_45(X2,X0),X2) ) )
<=> ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) ) )),
rewrite(
( ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) )
<=> ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) ) )),
( ( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ( in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
& attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
& loc(X0,tptp_fun_X5_44(X2,X0))
& sub(tptp_fun_X3_46(X2,X0),land_1_1)
& sub(tptp_fun_X4_45(X2,X0),name_1_1)
& val(tptp_fun_X4_45(X2,X0),X2) ) )
<=> ( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) ) )),
inference(bind,[status(th)],]) ).
tff(188,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ( in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
& attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
& loc(X0,tptp_fun_X5_44(X2,X0))
& sub(tptp_fun_X3_46(X2,X0),land_1_1)
& sub(tptp_fun_X4_45(X2,X0),name_1_1)
& val(tptp_fun_X4_45(X2,X0),X2) ) )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) ) ),
inference(quant_intro,[status(thm)],[187]) ).
tff(189,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(190,plain,
^ [X0: $i,X1: $i,X2: $i] :
trans(
monotonicity(
quant_intro(
proof_bind(
^ [X3: $i,X4: $i,X5: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5) ) )),
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1) ) )),
rewrite(
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1) ) )),
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1) ) )),
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1) ) )),
rewrite(
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1) ) )),
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1) ) )),
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) )),
rewrite(
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) )),
( ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) )
<=> ( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ))),
( ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) )
<=> ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) )),
( ( ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
=> ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) )
<=> ( ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
=> ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ) )),
rewrite(
( ( ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
=> ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) )
<=> ( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ) )),
( ( ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
=> ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) )
<=> ( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ) )),
inference(bind,[status(th)],]) ).
tff(191,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
=> ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ) ),
inference(quant_intro,[status(thm)],[190]) ).
tff(192,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
=> ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',state_adjective__in_state) ).
tff(193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ),
inference(modus_ponens,[status(thm)],[192,191]) ).
tff(194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ? [X3: $i,X4: $i,X5: $i] :
( in(X5,X3)
& attr(X3,X4)
& loc(X0,X5)
& sub(X3,land_1_1)
& sub(X4,name_1_1)
& val(X4,X2) ) ),
inference(modus_ponens,[status(thm)],[193,189]) ).
tff(195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( prop(X0,X1)
& state_adjective_state_binding(X1,X2) )
| ( in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
& attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
& loc(X0,tptp_fun_X5_44(X2,X0))
& sub(tptp_fun_X3_46(X2,X0),land_1_1)
& sub(tptp_fun_X4_45(X2,X0),name_1_1)
& val(tptp_fun_X4_45(X2,X0),X2) ) ),
inference(skolemize,[status(sab)],[194]) ).
tff(196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) ),
inference(modus_ponens,[status(thm)],[195,188]) ).
tff(197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) ),
inference(modus_ponens,[status(thm)],[196,186]) ).
tff(198,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) )
| ~ prop(c316,s__374dafrikanisch_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0)
| ~ ( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) ) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) )
| ~ prop(c316,s__374dafrikanisch_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0)
| ~ ( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(199,plain,
( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) )
| ~ prop(c316,s__374dafrikanisch_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0)
| ~ ( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(200,plain,
( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ prop(X0,X1)
| ~ state_adjective_state_binding(X1,X2)
| ~ ( ~ in(tptp_fun_X5_44(X2,X0),tptp_fun_X3_46(X2,X0))
| ~ loc(X0,tptp_fun_X5_44(X2,X0))
| ~ sub(tptp_fun_X4_45(X2,X0),name_1_1)
| ~ attr(tptp_fun_X3_46(X2,X0),tptp_fun_X4_45(X2,X0))
| ~ sub(tptp_fun_X3_46(X2,X0),land_1_1)
| ~ val(tptp_fun_X4_45(X2,X0),X2) ) )
| ~ prop(c316,s__374dafrikanisch_1_1)
| ~ state_adjective_state_binding(s__374dafrikanisch_1_1,s__374dafrika_0)
| ~ ( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) ) ),
inference(modus_ponens,[status(thm)],[199,198]) ).
tff(201,plain,
~ ( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) ),
inference(unit_resolution,[status(thm)],[200,197,184,181]) ).
tff(202,plain,
( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) ),
inference(tautology,[status(thm)],]) ).
tff(203,plain,
val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0),
inference(unit_resolution,[status(thm)],[202,201]) ).
tff(204,plain,
( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316)) ),
inference(tautology,[status(thm)],]) ).
tff(205,plain,
attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316)),
inference(unit_resolution,[status(thm)],[204,201]) ).
tff(206,plain,
( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1) ),
inference(tautology,[status(thm)],]) ).
tff(207,plain,
sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1),
inference(unit_resolution,[status(thm)],[206,201]) ).
tff(208,plain,
( ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ loc(c316,tptp_fun_X5_44(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X3_46(s__374dafrika_0,c316),land_1_1)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316)) ),
inference(tautology,[status(thm)],]) ).
tff(209,plain,
in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316)),
inference(unit_resolution,[status(thm)],[208,201]) ).
tff(210,plain,
( val(c318,mandela_0)
<=> val(c318,mandela_0) ),
inference(rewrite,[status(thm)],]) ).
tff(211,plain,
val(c318,mandela_0),
inference(and_elim,[status(thm)],[118]) ).
tff(212,plain,
val(c318,mandela_0),
inference(modus_ponens,[status(thm)],[211,210]) ).
tff(213,plain,
( sub(c318,familiename_1_1)
<=> sub(c318,familiename_1_1) ),
inference(rewrite,[status(thm)],]) ).
tff(214,plain,
sub(c318,familiename_1_1),
inference(and_elim,[status(thm)],[119]) ).
tff(215,plain,
sub(c318,familiename_1_1),
inference(modus_ponens,[status(thm)],[214,213]) ).
tff(216,plain,
( val(c317,nelson_0)
<=> val(c317,nelson_0) ),
inference(rewrite,[status(thm)],]) ).
tff(217,plain,
val(c317,nelson_0),
inference(and_elim,[status(thm)],[120]) ).
tff(218,plain,
val(c317,nelson_0),
inference(modus_ponens,[status(thm)],[217,216]) ).
tff(219,plain,
( sub(c317,eigenname_1_1)
<=> sub(c317,eigenname_1_1) ),
inference(rewrite,[status(thm)],]) ).
tff(220,plain,
sub(c317,eigenname_1_1),
inference(and_elim,[status(thm)],[121]) ).
tff(221,plain,
sub(c317,eigenname_1_1),
inference(modus_ponens,[status(thm)],[220,219]) ).
tff(222,plain,
( attr(c316,c318)
<=> attr(c316,c318) ),
inference(rewrite,[status(thm)],]) ).
tff(223,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317)
& attr(c316,c318) ),
inference(and_elim,[status(thm)],[179]) ).
tff(224,plain,
attr(c316,c318),
inference(and_elim,[status(thm)],[223]) ).
tff(225,plain,
attr(c316,c318),
inference(modus_ponens,[status(thm)],[224,222]) ).
tff(226,plain,
( attr(c316,c317)
<=> attr(c316,c317) ),
inference(rewrite,[status(thm)],]) ).
tff(227,plain,
( origl(c15,c323)
& sub(c15,an_f__374hrer_1_1)
& sub(c15,c15)
& sub(c15,hirte_1_1)
& arg1(c19,c15)
& arg2(c19,c15)
& subr(c19,sub_0)
& pred(c307,autobiographie_1_1)
& attch(c316,c307)
& attr(c316,c317) ),
inference(and_elim,[status(thm)],[223]) ).
tff(228,plain,
attr(c316,c317),
inference(and_elim,[status(thm)],[227]) ).
tff(229,plain,
attr(c316,c317),
inference(modus_ponens,[status(thm)],[228,226]) ).
tff(230,plain,
^ [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
refl(
( ( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
<=> ( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ) )),
inference(bind,[status(th)],]) ).
tff(231,plain,
( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
<=> ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ) ),
inference(quant_intro,[status(thm)],[230]) ).
tff(232,plain,
^ [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
trans(
monotonicity(
rewrite(
( ( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) )
<=> ~ ( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ) )),
( ~ ( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) )
<=> ~ ~ ( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ) )),
rewrite(
( ~ ~ ( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
<=> ( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ) )),
( ~ ( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) )
<=> ( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ) )),
inference(bind,[status(th)],]) ).
tff(233,plain,
( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
~ ( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) )
<=> ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ) ),
inference(quant_intro,[status(thm)],[232]) ).
tff(234,plain,
( ~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) )
<=> ~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(235,plain,
( ~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) )
<=> ~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(236,axiom,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_010_mira_news_1788) ).
tff(237,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[236,235]) ).
tff(238,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[237,234]) ).
tff(239,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[238,234]) ).
tff(240,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[239,234]) ).
tff(241,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[240,234]) ).
tff(242,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[241,234]) ).
tff(243,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[242,234]) ).
tff(244,plain,
^ [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
refl(
$oeq(
~ ( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
~ ( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ))),
inference(bind,[status(th)],]) ).
tff(245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
~ ( in(X5,X6)
& arg1(X3,X0)
& arg2(X3,X4)
& attr(X0,X1)
& attr(X0,X2)
& attr(X6,X7)
& obj(X8,X0)
& sub(X1,familiename_1_1)
& sub(X2,eigenname_1_1)
& sub(X4,X9)
& sub(X7,name_1_1)
& subr(X3,rprs_0)
& val(X1,mandela_0)
& val(X2,nelson_0)
& val(X7,s__374dafrika_0) ),
inference(nnf-neg,[status(sab)],[243,244]) ).
tff(246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[245,233]) ).
tff(247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) ),
inference(modus_ponens,[status(thm)],[246,231]) ).
tff(248,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ sub(c318,familiename_1_1)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ sub(c318,familiename_1_1)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(249,plain,
( ( ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ sub(c318,familiename_1_1)
| ~ val(c317,nelson_0)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ val(c318,mandela_0)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) )
<=> ( ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ sub(c318,familiename_1_1)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(250,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ sub(c318,familiename_1_1)
| ~ val(c317,nelson_0)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ val(c318,mandela_0)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ sub(c318,familiename_1_1)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0) ) ),
inference(monotonicity,[status(thm)],[249]) ).
tff(251,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ sub(c318,familiename_1_1)
| ~ val(c317,nelson_0)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ val(c318,mandela_0)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ sub(c318,familiename_1_1)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0) ) ),
inference(transitivity,[status(thm)],[250,248]) ).
tff(252,plain,
( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ sub(c318,familiename_1_1)
| ~ val(c317,nelson_0)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ val(c318,mandela_0)
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0) ),
inference(quant_inst,[status(thm)],]) ).
tff(253,plain,
( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ sub(X7,name_1_1)
| ~ attr(X6,X7)
| ~ arg1(X3,X0)
| ~ attr(X0,X1)
| ~ in(X5,X6)
| ~ obj(X8,X0)
| ~ arg2(X3,X4)
| ~ sub(X2,eigenname_1_1)
| ~ attr(X0,X2)
| ~ subr(X3,rprs_0)
| ~ sub(X1,familiename_1_1)
| ~ val(X2,nelson_0)
| ~ sub(X4,X9)
| ~ val(X1,mandela_0)
| ~ val(X7,s__374dafrika_0) )
| ~ sub(c317,eigenname_1_1)
| ~ attr(c316,c317)
| ~ sub(c318,familiename_1_1)
| ~ attr(c316,c318)
| ~ in(tptp_fun_X5_44(s__374dafrika_0,c316),tptp_fun_X3_46(s__374dafrika_0,c316))
| ~ sub(tptp_fun_X4_45(s__374dafrika_0,c316),name_1_1)
| ~ attr(tptp_fun_X3_46(s__374dafrika_0,c316),tptp_fun_X4_45(s__374dafrika_0,c316))
| ~ val(tptp_fun_X4_45(s__374dafrika_0,c316),s__374dafrika_0)
| ~ arg1(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ arg2(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)))
| ~ obj(tptp_fun_X3_53(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),c316)
| ~ sub(tptp_fun_X5_51(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),pr__344sident_1_1)
| ~ subr(tptp_fun_X4_52(pr__344sident_1_1,c316,tptp_fun_X2_54(pr__344sident_1_1,c316)),rprs_0)
| ~ val(c317,nelson_0)
| ~ val(c318,mandela_0) ),
inference(modus_ponens,[status(thm)],[252,251]) ).
tff(254,plain,
$false,
inference(unit_resolution,[status(thm)],[253,247,229,225,221,218,215,212,209,207,205,203,177,175,173,171,169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR116+24 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 23:40:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 1.55/1.42 % SZS status Theorem
% 1.55/1.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------