%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR115+75 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 : Sat Jun 21 05:03:13 AM UTC 2025
% Result : Theorem 1.15s 1.33s
% Output : Proof 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 103
% Number of leaves : 32
% Syntax : Number of formulae : 174 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 6712 ( 0 equ)
% Maximal formula atoms : 104 ( 38 avg)
% Number of connectives : 7129 ( 672 ~; 534 |;5847 &)
% ( 64 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 104 ( 36 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 81 ( 81 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-4 aty)
% Number of functors : 49 ( 49 usr; 44 con; 0-3 aty)
% Number of variables : 358 ( 195 !; 123 ?; 358 :)
% Comments :
%------------------------------------------------------------------------------
tff(obj_type,type,
obj: ( $i * $i ) > $o ).
tff(c85_type,type,
c85: $i ).
tff(tptp_fun_X3_53_type,type,
tptp_fun_X3_53: ( $i * $i * $i ) > $i ).
tff(tptp_fun_X2_54_type,type,
tptp_fun_X2_54: ( $i * $i ) > $i ).
tff(firma_1_1_type,type,
firma_1_1: $i ).
tff(subs_type,type,
subs: ( $i * $i ) > $o ).
tff(bezeichnen_1_1_type,type,
bezeichnen_1_1: $i ).
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(sub_type,type,
sub: ( $i * $i ) > $o ).
tff(tptp_fun_X5_51_type,type,
tptp_fun_X5_51: ( $i * $i * $i ) > $i ).
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(attr_type,type,
attr: ( $i * $i ) > $o ).
tff(c86_type,type,
c86: $i ).
tff(attch_type,type,
attch: ( $i * $i ) > $o ).
tff(c72_type,type,
c72: $i ).
tff(pred_type,type,
pred: ( $i * $i ) > $o ).
tff(motor__1_1_type,type,
motor__1_1: $i ).
tff(propr_type,type,
propr: ( $i * $i ) > $o ).
tff(gleich_1_1_type,type,
gleich_1_1: $i ).
tff(c69_type,type,
c69: $i ).
tff(l6_1_1_type,type,
l6_1_1: $i ).
tff(beid_2_1_type,type,
beid_2_1: $i ).
tff(c62_type,type,
c62: $i ).
tff(tupl_p4_type,type,
tupl_p4: ( $i * $i * $i * $i ) > $o ).
tff(c269_type,type,
c269: $i ).
tff(name_1_1_type,type,
name_1_1: $i ).
tff(val_type,type,
val: ( $i * $i ) > $o ).
tff(bmw_0_type,type,
bmw_0: $i ).
tff(sort_type,type,
sort: ( $i * $i ) > $o ).
tff(ent_type,type,
ent: $i ).
tff(card_type,type,
card: ( $i * $i ) > $o ).
tff(card_c_type,type,
card_c: $i ).
tff(etype_type,type,
etype: ( $i * $i ) > $o ).
tff(etype_c_type,type,
etype_c: $i ).
tff(fact_type,type,
fact: ( $i * $i ) > $o ).
tff(real_type,type,
real: $i ).
tff(gener_type,type,
gener: ( $i * $i ) > $o ).
tff(gener_c_type,type,
gener_c: $i ).
tff(quant_type,type,
quant: ( $i * $i ) > $o ).
tff(quant_c_type,type,
quant_c: $i ).
tff(refer_type,type,
refer: ( $i * $i ) > $o ).
tff(refer_c_type,type,
refer_c: $i ).
tff(varia_type,type,
varia: ( $i * $i ) > $o ).
tff(varia_c_type,type,
varia_c: $i ).
tff(o_type,type,
o: $i ).
tff(int2_type,type,
int2: $i ).
tff(int1_type,type,
int1: $i ).
tff(int3_type,type,
int3: $i ).
tff(both_type,type,
both: $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(d_type,type,
d: $i ).
tff(sp_type,type,
sp: $i ).
tff(indet_type,type,
indet: $i ).
tff(int0_type,type,
int0: $i ).
tff(ge_type,type,
ge: $i ).
tff(one_type,type,
one: $i ).
tff(rq_type,type,
rq: $i ).
tff(io_type,type,
io: $i ).
tff(det_type,type,
det: $i ).
tff(con_type,type,
con: $i ).
tff(na_type,type,
na: $i ).
tff(fe_type,type,
fe: $i ).
tff(1,plain,
( sub(c85,firma_1_1)
<=> sub(c85,firma_1_1) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real)
& gener(name_1_1,ge)
& quant(name_1_1,one)
& refer(name_1_1,refer_c)
& varia(name_1_1,varia_c)
& sort(bmw_0,fe) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_485) ).
tff(3,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real)
& gener(name_1_1,ge)
& quant(name_1_1,one)
& refer(name_1_1,refer_c)
& varia(name_1_1,varia_c) ),
inference(and_elim,[status(thm)],[2]) ).
tff(4,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real)
& gener(name_1_1,ge)
& quant(name_1_1,one)
& refer(name_1_1,refer_c) ),
inference(and_elim,[status(thm)],[3]) ).
tff(5,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real)
& gener(name_1_1,ge)
& quant(name_1_1,one) ),
inference(and_elim,[status(thm)],[4]) ).
tff(6,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real)
& gener(name_1_1,ge) ),
inference(and_elim,[status(thm)],[5]) ).
tff(7,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real) ),
inference(and_elim,[status(thm)],[6]) ).
tff(8,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0) ),
inference(and_elim,[status(thm)],[7]) ).
tff(9,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1) ),
inference(and_elim,[status(thm)],[8]) ).
tff(10,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c)
& sort(name_1_1,na) ),
inference(and_elim,[status(thm)],[9]) ).
tff(11,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c)
& varia(firma_1_1,varia_c) ),
inference(and_elim,[status(thm)],[10]) ).
tff(12,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one)
& refer(firma_1_1,refer_c) ),
inference(and_elim,[status(thm)],[11]) ).
tff(13,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge)
& quant(firma_1_1,one) ),
inference(and_elim,[status(thm)],[12]) ).
tff(14,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real)
& gener(firma_1_1,ge) ),
inference(and_elim,[status(thm)],[13]) ).
tff(15,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0)
& fact(firma_1_1,real) ),
inference(and_elim,[status(thm)],[14]) ).
tff(16,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1)
& etype(firma_1_1,int0) ),
inference(and_elim,[status(thm)],[15]) ).
tff(17,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io)
& card(firma_1_1,int1) ),
inference(and_elim,[status(thm)],[16]) ).
tff(18,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d)
& sort(firma_1_1,io) ),
inference(and_elim,[status(thm)],[17]) ).
tff(19,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c)
& sort(firma_1_1,d) ),
inference(and_elim,[status(thm)],[18]) ).
tff(20,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet)
& varia(c86,varia_c) ),
inference(and_elim,[status(thm)],[19]) ).
tff(21,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one)
& refer(c86,indet) ),
inference(and_elim,[status(thm)],[20]) ).
tff(22,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp)
& quant(c86,one) ),
inference(and_elim,[status(thm)],[21]) ).
tff(23,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real)
& gener(c86,sp) ),
inference(and_elim,[status(thm)],[22]) ).
tff(24,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0)
& fact(c86,real) ),
inference(and_elim,[status(thm)],[23]) ).
tff(25,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1)
& etype(c86,int0) ),
inference(and_elim,[status(thm)],[24]) ).
tff(26,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na)
& card(c86,int1) ),
inference(and_elim,[status(thm)],[25]) ).
tff(27,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con)
& sort(c86,na) ),
inference(and_elim,[status(thm)],[26]) ).
tff(28,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det)
& varia(c85,con) ),
inference(and_elim,[status(thm)],[27]) ).
tff(29,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one)
& refer(c85,det) ),
inference(and_elim,[status(thm)],[28]) ).
tff(30,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp)
& quant(c85,one) ),
inference(and_elim,[status(thm)],[29]) ).
tff(31,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real)
& gener(c85,sp) ),
inference(and_elim,[status(thm)],[30]) ).
tff(32,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0)
& fact(c85,real) ),
inference(and_elim,[status(thm)],[31]) ).
tff(33,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1)
& etype(c85,int0) ),
inference(and_elim,[status(thm)],[32]) ).
tff(34,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io)
& card(c85,int1) ),
inference(and_elim,[status(thm)],[33]) ).
tff(35,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d)
& sort(c85,io) ),
inference(and_elim,[status(thm)],[34]) ).
tff(36,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c)
& sort(c85,d) ),
inference(and_elim,[status(thm)],[35]) ).
tff(37,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c)
& varia(motor__1_1,varia_c) ),
inference(and_elim,[status(thm)],[36]) ).
tff(38,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one)
& refer(motor__1_1,refer_c) ),
inference(and_elim,[status(thm)],[37]) ).
tff(39,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge)
& quant(motor__1_1,one) ),
inference(and_elim,[status(thm)],[38]) ).
tff(40,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real)
& gener(motor__1_1,ge) ),
inference(and_elim,[status(thm)],[39]) ).
tff(41,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0)
& fact(motor__1_1,real) ),
inference(and_elim,[status(thm)],[40]) ).
tff(42,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1)
& etype(motor__1_1,int0) ),
inference(and_elim,[status(thm)],[41]) ).
tff(43,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d)
& card(motor__1_1,int1) ),
inference(and_elim,[status(thm)],[42]) ).
tff(44,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq)
& sort(motor__1_1,d) ),
inference(and_elim,[status(thm)],[43]) ).
tff(45,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c)
& sort(gleich_1_1,rq) ),
inference(and_elim,[status(thm)],[44]) ).
tff(46,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c)
& varia(l6_1_1,varia_c) ),
inference(and_elim,[status(thm)],[45]) ).
tff(47,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one)
& refer(l6_1_1,refer_c) ),
inference(and_elim,[status(thm)],[46]) ).
tff(48,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge)
& quant(l6_1_1,one) ),
inference(and_elim,[status(thm)],[47]) ).
tff(49,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real)
& gener(l6_1_1,ge) ),
inference(and_elim,[status(thm)],[48]) ).
tff(50,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0)
& fact(l6_1_1,real) ),
inference(and_elim,[status(thm)],[49]) ).
tff(51,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1)
& etype(l6_1_1,int0) ),
inference(and_elim,[status(thm)],[50]) ).
tff(52,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o)
& card(l6_1_1,int1) ),
inference(and_elim,[status(thm)],[51]) ).
tff(53,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c)
& sort(l6_1_1,o) ),
inference(and_elim,[status(thm)],[52]) ).
tff(54,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c)
& varia(beid_2_1,varia_c) ),
inference(and_elim,[status(thm)],[53]) ).
tff(55,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both)
& refer(beid_2_1,refer_c) ),
inference(and_elim,[status(thm)],[54]) ).
tff(56,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c)
& quant(beid_2_1,both) ),
inference(and_elim,[status(thm)],[55]) ).
tff(57,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real)
& gener(beid_2_1,gener_c) ),
inference(and_elim,[status(thm)],[56]) ).
tff(58,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1)
& fact(beid_2_1,real) ),
inference(and_elim,[status(thm)],[57]) ).
tff(59,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2)
& etype(beid_2_1,int1) ),
inference(and_elim,[status(thm)],[58]) ).
tff(60,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o)
& card(beid_2_1,int2) ),
inference(and_elim,[status(thm)],[59]) ).
tff(61,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c)
& sort(beid_2_1,o) ),
inference(and_elim,[status(thm)],[60]) ).
tff(62,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet)
& varia(c72,varia_c) ),
inference(and_elim,[status(thm)],[61]) ).
tff(63,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult)
& refer(c72,indet) ),
inference(and_elim,[status(thm)],[62]) ).
tff(64,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp)
& quant(c72,mult) ),
inference(and_elim,[status(thm)],[63]) ).
tff(65,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real)
& gener(c72,sp) ),
inference(and_elim,[status(thm)],[64]) ).
tff(66,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1)
& fact(c72,real) ),
inference(and_elim,[status(thm)],[65]) ).
tff(67,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil)))
& etype(c72,int1) ),
inference(and_elim,[status(thm)],[66]) ).
tff(68,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d)
& card(c72,cons(x_constant,cons(int1,nil))) ),
inference(and_elim,[status(thm)],[67]) ).
tff(69,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c)
& sort(c72,d) ),
inference(and_elim,[status(thm)],[68]) ).
tff(70,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c)
& varia(c69,varia_c) ),
inference(and_elim,[status(thm)],[69]) ).
tff(71,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult)
& refer(c69,refer_c) ),
inference(and_elim,[status(thm)],[70]) ).
tff(72,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c)
& quant(c69,mult) ),
inference(and_elim,[status(thm)],[71]) ).
tff(73,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real)
& gener(c69,gener_c) ),
inference(and_elim,[status(thm)],[72]) ).
tff(74,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1)
& fact(c69,real) ),
inference(and_elim,[status(thm)],[73]) ).
tff(75,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil)))
& etype(c69,int1) ),
inference(and_elim,[status(thm)],[74]) ).
tff(76,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o)
& card(c69,cons(x_constant,cons(int1,nil))) ),
inference(and_elim,[status(thm)],[75]) ).
tff(77,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c)
& sort(c69,o) ),
inference(and_elim,[status(thm)],[76]) ).
tff(78,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c)
& varia(c62,varia_c) ),
inference(and_elim,[status(thm)],[77]) ).
tff(79,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both)
& refer(c62,refer_c) ),
inference(and_elim,[status(thm)],[78]) ).
tff(80,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c)
& quant(c62,both) ),
inference(and_elim,[status(thm)],[79]) ).
tff(81,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real)
& gener(c62,gener_c) ),
inference(and_elim,[status(thm)],[80]) ).
tff(82,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3)
& fact(c62,real) ),
inference(and_elim,[status(thm)],[81]) ).
tff(83,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2)
& etype(c62,int3) ),
inference(and_elim,[status(thm)],[82]) ).
tff(84,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1)
& etype(c62,int2) ),
inference(and_elim,[status(thm)],[83]) ).
tff(85,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2)
& etype(c62,int1) ),
inference(and_elim,[status(thm)],[84]) ).
tff(86,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o)
& card(c62,int2) ),
inference(and_elim,[status(thm)],[85]) ).
tff(87,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c)
& sort(c62,o) ),
inference(and_elim,[status(thm)],[86]) ).
tff(88,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c)
& varia(c269,varia_c) ),
inference(and_elim,[status(thm)],[87]) ).
tff(89,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c)
& refer(c269,refer_c) ),
inference(and_elim,[status(thm)],[88]) ).
tff(90,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c)
& quant(c269,quant_c) ),
inference(and_elim,[status(thm)],[89]) ).
tff(91,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real)
& gener(c269,gener_c) ),
inference(and_elim,[status(thm)],[90]) ).
tff(92,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c)
& fact(c269,real) ),
inference(and_elim,[status(thm)],[91]) ).
tff(93,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c)
& etype(c269,etype_c) ),
inference(and_elim,[status(thm)],[92]) ).
tff(94,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent)
& card(c269,card_c) ),
inference(and_elim,[status(thm)],[93]) ).
tff(95,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0)
& sort(c269,ent) ),
inference(and_elim,[status(thm)],[94]) ).
tff(96,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1)
& val(c86,bmw_0) ),
inference(and_elim,[status(thm)],[95]) ).
tff(97,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1)
& sub(c86,name_1_1) ),
inference(and_elim,[status(thm)],[96]) ).
tff(98,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86)
& sub(c85,firma_1_1) ),
inference(and_elim,[status(thm)],[97]) ).
tff(99,plain,
sub(c85,firma_1_1),
inference(and_elim,[status(thm)],[98]) ).
tff(100,plain,
sub(c85,firma_1_1),
inference(modus_ponens,[status(thm)],[99,1]) ).
tff(101,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(102,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)],[101]) ).
tff(103,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(104,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)],[103]) ).
tff(105,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(106,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(107,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)],[106]) ).
tff(108,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(109,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)],[108,107]) ).
tff(110,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)],[109,105]) ).
tff(111,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)],[110]) ).
tff(112,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)],[111,104]) ).
tff(113,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)],[112,102]) ).
tff(114,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(c85,firma_1_1)
| ~ ( ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),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(c85,firma_1_1)
| ~ ( ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(115,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(c85,firma_1_1)
| ~ ( ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(116,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(c85,firma_1_1)
| ~ ( ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0) ) ),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
~ ( ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0) ),
inference(unit_resolution,[status(thm)],[116,113,100]) ).
tff(118,plain,
( ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0)
| subr(tptp_fun_X2_54(firma_1_1,c85),sub_0) ),
inference(tautology,[status(thm)],[]) ).
tff(119,plain,
subr(tptp_fun_X2_54(firma_1_1,c85),sub_0),
inference(unit_resolution,[status(thm)],[118,117]) ).
tff(120,plain,
( ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0)
| arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1) ),
inference(tautology,[status(thm)],[]) ).
tff(121,plain,
arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1),
inference(unit_resolution,[status(thm)],[120,117]) ).
tff(122,plain,
( ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0)
| arg1(tptp_fun_X2_54(firma_1_1,c85),c85) ),
inference(tautology,[status(thm)],[]) ).
tff(123,plain,
arg1(tptp_fun_X2_54(firma_1_1,c85),c85),
inference(unit_resolution,[status(thm)],[122,117]) ).
tff(124,plain,
^ [X0: $i,X1: $i,X2: $i] :
refl(( ( ~ 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) ) ) )),
inference(bind,[status(th)],[]) ).
tff(125,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] :
( ~ 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(quant_intro,[status(thm)],[124]) ).
tff(126,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) ) )
<=> ( ~ 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) ) )
<=> ( ~ 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(bind,[status(th)],[]) ).
tff(127,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] :
( ~ 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(quant_intro,[status(thm)],[126]) ).
tff(128,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(129,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(130,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)],[129]) ).
tff(131,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(132,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)],[131,130]) ).
tff(133,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)],[132,128]) ).
tff(134,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)],[133]) ).
tff(135,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(modus_ponens,[status(thm)],[134,127]) ).
tff(136,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(modus_ponens,[status(thm)],[135,125]) ).
tff(137,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) ) )
| ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ arg2(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ hsit(tptp_fun_X2_54(firma_1_1,c85),tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ mcont(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),firma_1_1)
| ~ subr(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),rprs_0)
| ~ subs(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),bezeichnen_1_1) ) )
<=> ( ~ ! [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) ) )
| ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ arg2(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ hsit(tptp_fun_X2_54(firma_1_1,c85),tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ mcont(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),firma_1_1)
| ~ subr(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),rprs_0)
| ~ subs(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),bezeichnen_1_1) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(138,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) ) )
| ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ arg2(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ hsit(tptp_fun_X2_54(firma_1_1,c85),tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ mcont(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),firma_1_1)
| ~ subr(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),rprs_0)
| ~ subs(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),bezeichnen_1_1) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(139,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) ) )
| ~ arg1(tptp_fun_X2_54(firma_1_1,c85),c85)
| ~ arg2(tptp_fun_X2_54(firma_1_1,c85),firma_1_1)
| ~ subr(tptp_fun_X2_54(firma_1_1,c85),sub_0)
| ~ ( ~ arg1(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ arg2(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ hsit(tptp_fun_X2_54(firma_1_1,c85),tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ mcont(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),firma_1_1)
| ~ subr(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),rprs_0)
| ~ subs(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),bezeichnen_1_1) ) ),
inference(modus_ponens,[status(thm)],[138,137]) ).
tff(140,plain,
~ ( ~ arg1(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ arg2(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ hsit(tptp_fun_X2_54(firma_1_1,c85),tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ mcont(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),firma_1_1)
| ~ subr(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),rprs_0)
| ~ subs(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),bezeichnen_1_1) ),
inference(unit_resolution,[status(thm)],[139,136,123,121,119]) ).
tff(141,plain,
( ~ arg1(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ arg2(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ hsit(tptp_fun_X2_54(firma_1_1,c85),tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ mcont(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)))
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(tptp_fun_X5_51(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),firma_1_1)
| ~ subr(tptp_fun_X4_52(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),rprs_0)
| ~ subs(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),bezeichnen_1_1)
| obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85) ),
inference(tautology,[status(thm)],[]) ).
tff(142,plain,
obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85),
inference(unit_resolution,[status(thm)],[141,140]) ).
tff(143,plain,
( val(c86,bmw_0)
<=> val(c86,bmw_0) ),
inference(rewrite,[status(thm)],[]) ).
tff(144,plain,
val(c86,bmw_0),
inference(and_elim,[status(thm)],[96]) ).
tff(145,plain,
val(c86,bmw_0),
inference(modus_ponens,[status(thm)],[144,143]) ).
tff(146,plain,
( sub(c86,name_1_1)
<=> sub(c86,name_1_1) ),
inference(rewrite,[status(thm)],[]) ).
tff(147,plain,
sub(c86,name_1_1),
inference(and_elim,[status(thm)],[97]) ).
tff(148,plain,
sub(c86,name_1_1),
inference(modus_ponens,[status(thm)],[147,146]) ).
tff(149,plain,
( attr(c85,c86)
<=> attr(c85,c86) ),
inference(rewrite,[status(thm)],[]) ).
tff(150,plain,
( tupl_p4(c269,c62,c69,c72)
& pred(c62,beid_2_1)
& pred(c69,l6_1_1)
& propr(c69,gleich_1_1)
& pred(c72,motor__1_1)
& attch(c85,c72)
& attr(c85,c86) ),
inference(and_elim,[status(thm)],[98]) ).
tff(151,plain,
attr(c85,c86),
inference(and_elim,[status(thm)],[150]) ).
tff(152,plain,
attr(c85,c86),
inference(modus_ponens,[status(thm)],[151,149]) ).
tff(153,plain,
^ [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
refl(( ( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
<=> ( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ) )),
inference(bind,[status(th)],[]) ).
tff(154,plain,
( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
<=> ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ) ),
inference(quant_intro,[status(thm)],[153]) ).
tff(155,plain,
^ [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
trans(monotonicity(rewrite(( ( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) )
<=> ~ ( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ) )),
( ~ ( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) )
<=> ~ ~ ( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ) )),
rewrite(( ~ ~ ( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
<=> ( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ) )),
( ~ ( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) )
<=> ( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ) )),
inference(bind,[status(th)],[]) ).
tff(156,plain,
( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
~ ( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) )
<=> ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ) ),
inference(quant_intro,[status(thm)],[155]) ).
tff(157,plain,
( ~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) )
<=> ~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(158,plain,
( ~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) )
<=> ~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(159,axiom,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_007_mira_wp_485) ).
tff(160,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ),
inference(modus_ponens,[status(thm)],[159,158]) ).
tff(161,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ),
inference(modus_ponens,[status(thm)],[160,157]) ).
tff(162,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ),
inference(modus_ponens,[status(thm)],[161,157]) ).
tff(163,plain,
~ ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ),
inference(modus_ponens,[status(thm)],[162,157]) ).
tff(164,plain,
^ [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
refl($oeq(~ ( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ),
~ ( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ))),
inference(bind,[status(th)],[]) ).
tff(165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
~ ( attr(X0,X1)
& attr(X3,X2)
& attr(X5,X6)
& obj(X4,X0)
& sub(X1,name_1_1)
& sub(X0,firma_1_1)
& sub(X2,name_1_1)
& val(X1,bmw_0)
& val(X2,bmw_0) ),
inference(nnf-neg,[status(sab)],[163,164]) ).
tff(166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ),
inference(modus_ponens,[status(thm)],[165,156]) ).
tff(167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) ),
inference(modus_ponens,[status(thm)],[166,154]) ).
tff(168,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ val(c86,bmw_0) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ val(c86,bmw_0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(169,plain,
( ( ~ attr(c85,c86)
| ~ attr(c85,c86)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(c86,name_1_1)
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ val(c86,bmw_0)
| ~ val(c86,bmw_0) )
<=> ( ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ val(c86,bmw_0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(170,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
| ~ attr(c85,c86)
| ~ attr(c85,c86)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(c86,name_1_1)
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ val(c86,bmw_0)
| ~ val(c86,bmw_0) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ val(c86,bmw_0) ) ),
inference(monotonicity,[status(thm)],[169]) ).
tff(171,plain,
( ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
| ~ attr(c85,c86)
| ~ attr(c85,c86)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(c86,name_1_1)
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ val(c86,bmw_0)
| ~ val(c86,bmw_0) )
<=> ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ val(c86,bmw_0) ) ),
inference(transitivity,[status(thm)],[170,168]) ).
tff(172,plain,
( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
| ~ attr(c85,c86)
| ~ attr(c85,c86)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ sub(c86,name_1_1)
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ val(c86,bmw_0)
| ~ val(c86,bmw_0) ),
inference(quant_inst,[status(thm)],[]) ).
tff(173,plain,
( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ attr(X5,X6)
| ~ attr(X0,X1)
| ~ attr(X3,X2)
| ~ obj(X4,X0)
| ~ sub(X1,name_1_1)
| ~ sub(X0,firma_1_1)
| ~ sub(X2,name_1_1)
| ~ val(X1,bmw_0)
| ~ val(X2,bmw_0) )
| ~ sub(c85,firma_1_1)
| ~ sub(c86,name_1_1)
| ~ attr(c85,c86)
| ~ obj(tptp_fun_X3_53(firma_1_1,c85,tptp_fun_X2_54(firma_1_1,c85)),c85)
| ~ val(c86,bmw_0) ),
inference(modus_ponens,[status(thm)],[172,171]) ).
tff(174,plain,
$false,
inference(unit_resolution,[status(thm)],[173,167,152,100,148,145,142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR115+75 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 13:02:56 EDT 2025
% 0.12/0.34 % CPUTime :
% 1.15/1.33 % SZS status Theorem
% 1.15/1.33 % SZS output start Proof
% See solution above
% 1.38/1.56 % E exiting
%------------------------------------------------------------------------------